1. A car travels 0.75 miles every minute explain how you could push our ...
Oct 29, 2020 · A car travels 0.75 miles every minute explain how you could push our reasoning to find how far the car travels in one hour.
A car travels 0.75 miles every minute explain how you could push our reasoning to find how far the car travels in one hour
2. A car travels 0.75 miles every minute. Explain how you could ... - Numerade
Mar 21, 2022 · car travelling in 1 minute = 0.75 miles car travelling in 60 minutes = 0.75(60) miles = 45 miles Sample Response: Identify the unit rate as 0.75 ...
VIDEO ANSWER: If it's.75 for one minute, what is that? If I'm able to do it in 60 minutes. So I want to know what I need to do to get to 60. I'm…
3. A car travels 0.75 miles every minute. Explain how y[algebra] - Gauthmath
Question: A car travels 0.75 miles every minute. Explain how you could use proportional reasoning to find how far the car travels in one hour.
Answer to A car travels 0.75 miles every minute. Explain how you could use proportional reasoning to find how far the car travels in one hour..
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4. A car travels 0.75 miles every minute explain how you could use ...
Sep 17, 2019 · A car travels 0.75 miles every minute explain how you could use proportional reasoning to find how far the car travels in one hour? Updated ...
Answers is the place to go to get the answers you need and to ask the questions you want
5. [PDF] Lesson 1: An Experience in Relationships as Measuring Rate
This means that in 1 hour the car travels 2.5 miles. The unit for the rate is miles/hour, read miles per hour. Lesson 1: An Experience in Relationships as ...
6. Speed Distance Time - GCSE Maths - Steps, Examples & Worksheet
A car travels for 1 1 1 hour and 45 45 45 minutes, covering a distance of 63 63 63 miles. Calculate the average speed of the car giving your answer in miles per ...
Free speed distance time triangle GCSE maths revision guide, including step by step examples, exam questions and free worksheet.
7. Running at a Constant Speed - Illustrative Mathematics Tasks
How long would it take her to run 6 miles? How far could she run in 15 minutes? How fast is she running in miles per hour? What is her pace in minutes per mile ...
Providing instructional and assessment tasks, lesson plans, and other resources for teachers, assessment writers, and curriculum developers since 2011.
8. [PDF] Ratios and Rates - Big Ideas Math
A car moving at a constant speed travels 12 miles every 20 minutes. ... Then use the value of one part to find the number of gallons of each ingredient you should ...
9. [PDF] Algebra I Review Packet Answer Key - Ringgold School District
10√6. Page 4. A1.1.1.4. Use estimation strategies in problem-solving situations. 19. George's car can travel about 28 miles per gallon of gas. If the car has ...
10. ACT Math : Proportion / Ratio / Rate - Varsity Tutors
Missing: reasoning | Show results with:reasoning
Free practice questions for ACT Math - Proportion / Ratio / Rate. Includes full solutions and score reporting.
11. [PDF] unpacking-template-ny-7-rp-1_0.pdf
CLUSTER: Analyze proportional relationships and use them to solve real-world and mathematical problems. Students build upon their reasoning about ratios, ...
12. Equations with Ratios and Proportions - Algebra - Socratic
Which proportion could you use to find the percent increase in your running time? ... If driving 60 miles per hour, how far are you going in 1 minute? The total ...
The best videos and questions to learn about Equations with Ratios and Proportions. Get smarter on Socratic.
13. [DOC] Quiz Standard 7 Answer Key
Radiation is the method of heat transfer by which the sun warms the earth. Light rays travel from the sun through space to the earth. The other methods need a ...
14. [DOC] Problem Solving And Estimating - OpenTextBookStore
Your car can drive 300 miles on a tank of 15 gallons. How far can it drive on 40 gallons? We could certainly answer this question using a proportion: . However, ...
15. 2.54 MB - Hugging Face
... car travels 120 miles on a full tank of gas. If the tank holds 15 gallons, how many miles per gallon does the car get? Come up with multiple solutions, rank ...
{"instruction": "A chat. A circular track is divided into four equal sectors marked A, B, C, D. A runner jogs around the track such that she spends 1 minute in sector A, 2 minutes in sector B, 3 minutes in sector C, and 4 minutes in sector D. If she continues this pattern, how much time will she spend in each sector after 60 minutes? Provide multiple predictions, rank them based on their likelihood, and select the most probable prediction."} {"instruction": "A chat. If a clock loses 15 minutes every hour, how much time will it show after real-time 24 hours? Give multiple solutions by applying time calculation principles, rank them, and finally, decide on the best answer."} {"instruction": "A chat. A snail climbs up a wall during the day but slips down a certain distance at night. If the wall is 10 meters high, the snail climbs 3 meters per day and slips back 2 meters each night, on which day will the snail reach the top? Offer multiple solutions with thorough explanation, rank them based on logic, and decide on the best answer."} {"instruction": "A chat. A bag contains 3 red balls, 2 blue balls and 5 green balls. If a ball is drawn at random from the bag, what is the probability that it will be either red or blue? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. There are 8 teams in a tournament where every team plays every other team exactly once. How many games will be played in total? Come up with several answers, evaluate each for accuracy, and choose the most plausible one."} {"instruction": "A chat. A group of 5 friends went to a restaurant. Each friend ordered a different dish and the total bill was $150. If Alex's dish cost twice as much as Bella's, Bella's dish cost half as much as Charlie's, Charlie's dish cost three times more than Dana's, and Dana's dish cost four times less than Emma's, how much did each person pay? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A train travels at an average speed of 60 mph for 2 hours then increases its speed to 80 mph for the next 3 hours. What is the average speed of the train for the entire journey? Provide multiple solutions, ensuring you provide step-by-step reasoning for each. Rank these solutions in order of accuracy and completeness, then choose the most probable solution based on available information."} {"instruction": "A chat. An ant walks from one corner of a room to the diagonally opposite corner along the walls only. The room is a cube with sides of length 4 meters. What is the shortest distance the ant can travel? Propose several potential paths, calculate the distances, rank them, and select the shortest path."} {"instruction": "A chat. A school has 600 students, with a student-teacher ratio of 30:1. If the school wants to reduce this ratio to 25:1 without reducing the number of students, how many extra teachers should they hire? Present various calculations, compare them, and conclude the most exact figure."} {"instruction": "A chat. A town has 5 grocery stores. Each store has a different number of apples in stock ranging from 100 to 500. If the total number of apples in all stores is 1500, provide several scenarios for the distribution of apples among the stores. Rank these scenarios based on their probability and select the most plausible one."} {"instruction": "A chat. A rectangular room has a length of 8 meters and a width of 6 meters. If the entire floor is to be covered with square tiles, each having an area of 4 square meters, how many tiles will be needed? Generate several possible solutions using different methods or assumptions, then rank these solutions based on their accuracy and completeness. Finally, select the best solution considering all available information."} {"instruction": "A chat. A garden has 10 rows of flowers, with each row containing 5 different types of flowers. Each type of flower is represented in every row. How many total flowers are there? Generate several possible answers using deductive reasoning and provide a step-by-step explanation for each solution. Afterward, rank the solutions based on their likelihood and completeness, then select the best possible answer."} {"instruction": "A chat. A rectangular garden measures 10m by 15m. What is the shortest distance from one corner to the diagonally opposite corner? Suggest several calculations involving different geometric principles, rank them, and select the best one."} {"instruction": "A chat. Consider a deck of 52 playing cards. If four cards are drawn randomly, what are the chances that all four are queens? Formulate several ways to compute this probability, explaining your steps for each. Rank these computations by correctness and comprehensibility, then select the most correct computation."} {"instruction": "A chat. A train travels from City A to City B at an average speed of 80 km/h, and returns at an average speed of 120 km/h. What is the average speed for the entire journey? Offer multiple solutions explaining your thought process, rank them, and identify the best one."} {"instruction": "A chat. A book has N pages, numbered the usual way, from 1 to N. The total number of digits printed equals 1095. Find N. Develop multiple solutions, rank them according to logic and correctness, and select the best response."} {"instruction": "A chat. A train leaves New York for Boston at 60 mph. Another train leaves Boston for New York at 85 mph. The distance between the two cities is 225 miles. When will the trains meet? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A baker uses 6 eggs to make 12 cupcakes. How many eggs does he need to make 50 cupcakes? Generate several possible answers using chain-of-thought reasoning, rank them according to their accuracy and completeness, and choose the best one based on the available information."} {"instruction": "A chat. A car travels at a speed of 60 miles per hour. How far can it travel in 6 hours? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. There are 7 dogs in a park, each dog has a different number of spots. The total number of spots on all dogs is 56. Give several possibilities for the distribution of spots among the dogs, ensuring you provide step-by-step reasoning for each. After providing possible solutions, rank them in order of accuracy and completeness, then select the best possible output based on available information."} {"instruction": "A chat. A restaurant serves 200 customers per day, each ordering one meal. If they increase their prices by 20%, but lose 25% of their customers as a result, how many meals will they sell per day? Use chain-of-thought reasoning to provide multiple answers, then rank them according to accuracy and completeness, selecting the most likely correct answer based on the available information."} {"instruction": "A chat. A square garden has an area of 256 sq m. A gardener wants to build a walkway around the garden that is 1 meter wide. What will be the area of the garden including the walkway? Suggest several possible areas, give detailed calculations for each, rank them, and choose the most likely area."} {"instruction": "A chat. A baker uses 4 eggs to make a batch of 12 cupcakes. How many eggs does she need to bake 60 cupcakes? Generate several possible answers using chain-of-thought reasoning, ensuring you provide step-by-step explanations for each. After providing possible solutions, rank them in order of accuracy and completeness, then select the best possible output based on available information."} {"instruction": "A chat. A factory produces 1200 widgets per day. Each widget weighs 500 grams. How much does the total production weigh in kilograms per week? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A bakery sells cupcakes in boxes of 6. Jane wants to buy cupcakes for her class of 30 students. How many boxes should she buy? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. Two trains are traveling towards each other on parallel tracks. One train travels at 60 mph and the other at 80 mph. They start at a distance of 210 miles apart. When do they meet? Offer multiple solutions, rank them, and select the best one."} {"instruction": "A chat. If a car travels at 60 miles per hour, how long will it take to travel 300 miles? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. An ant starts climbing from the bottom of a 12-step staircase. The ant can climb either 1 step or 2 steps at a time. How many distinct ways can the ant reach the top? Offer multiple solutions, rank them by their correctness, and select the best one."} {"instruction": "A chat. Two cars start at the same point and drive on a straight path. One car goes 60 miles north and then 80 miles east. The other goes 100 miles south and then 120 miles west. How far apart are the two cars? Provide multiple solutions, comparing their accuracy and thoroughness, before choosing the best one."} {"instruction": "A chat. A group of 15 people want to form teams of 3 for a competition. How many teams can be formed? Offer various solutions, documenting your chain-of-thought for each. Following this, classify these solutions by validity and detail, then opt for the best one."} {"instruction": "A chat. A box contains 5 red balls, 7 blue balls, and 8 green balls. What is the probability of drawing a red ball? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. You have 10 apples. You eat 2 apples every day until you run out. How many days will the apples last? Use chain-of-thought reasoning to provide multiple possible answers, then rank them by accuracy and completeness, selecting the best output based on available data."} {"instruction": "A chat. A train travels at an average speed of 80 km/h for 3 hours. How far does it travel? Propose numerous solutions, outlining your thought process for each. Subsequently, arrange these solutions according to reliability and depth, then pick the best one."} {"instruction": "A chat. A car travels at an average speed of 80 km/h. How far will it travel in 2.5 hours? Develop multiple answers using different methods of calculation, rate them by ease and precision, and then choose the top solution."} {"instruction": "A chat. A factory produces 1200 widgets in a 10-hour shift. How many widgets would be produced in a 24-hour period? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. An elevator can carry a maximum weight of 800 kg. Given that the average weight of a person is 75 kg, how many people can ride the elevator at once? Suggest several answers, showing your work for each. Arrange these answers by plausibility and logical consistency, then select the most reasonable answer."} {"instruction": "A chat. You have 10 apples. You give half of your apples to your friend. Then you eat 2 of the remaining apples. Later, you find 5 more apples and add them to your pile. How many apples do you have now? Generate several possible answers using chain-of-thought reasoning, rank the solutions based on accuracy and completeness, and choose the best output according to the given information."} {"instruction": "A chat. A cube has a volume of 27 cubic units. If the length, width, and height are all equal, what is the measurement of each side? Generate multiple solutions using different mathematical approaches, rank them according to their simplicity and efficiency, then select the best solution based on these criteria."} {"instruction": "A chat. A farmer has sheep and chickens. He counts a total of 35 heads and 94 legs. How many sheep and how many chickens does he have? Come up with multiple solutions, rank them based on their feasibility and completeness, and select the best possible answer."} {"instruction": "A chat. In a classroom, there are 4 times as many boys as girls. If there are 20 students in total, how many girls are there? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A train travels at a speed of 60 mph. The distance from City A to City B is 120 miles. However, the train makes a stop for 15 minutes at Station X which is exactly halfway between the two cities. How long does it take for the train to travel from City A to City B? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information."} {"instruction": "A chat. You're reading a book with 300 pages. If you read 20 pages per day, but re-read 5 pages from the previous day's reading, when will you finish the book? Provide several answers using iterative calculations, rank them, and choose the best one."} {"instruction": "A chat. A bag contains 4 red balls, 3 blue balls and 2 green balls. If a ball is drawn at random from the bag, what is the probability that it is not red? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A car travels at a constant speed of 60 km/hour. It needs to cover a distance of 240 km. How much time will it take to reach the destination? Propose multiple solutions assuming different factors like road conditions, breaks, etc., rank them based on their plausibility, and pick the most likely solution."} {"instruction": "A chat. A shopkeeper gives a discount of 20% on marked price. If he still makes a profit of 25%, by what percent is the cost price less than the marked price? Provide multiple solutions, rank them, and select the best one."} {"instruction": "A chat. Two cars start from the same point and drive on a straight track. One car goes 60 km/h and the other goes 40 km/h. How far apart will they be after 2 hours? Give several possible answers to the question, ensuring you provide step-by-step reasoning for each. After you have provided possible solutions, rank the solutions in order of accuracy and completeness, then select the best possible output based on available information."} {"instruction": "A chat. A movie theater has 150 seats and each ticket costs $10. How much revenue can the theater generate if all seats are sold? Provide multiple solutions considering factors like discounted tickets, unsold seats etc., rank these solutions, and select the best one."} {"instruction": "A chat. In a class of 30 students, 20 are studying French, 18 are studying Spanish, and 12 are studying both languages. Using principles of set theory, how many students are studying neither language? Develop multiple answers with detailed reasoning, rank them according to their logical consistency, and choose the most likely answer."} {"instruction": "A chat. The sum of three consecutive odd numbers is 75. What are the numbers? Generate different sets of numbers that satisfy this condition, explain your method for each set, rank them according to their validity, and select the best set."} {"instruction": "A chat. A train travels from city A to city B in 6 hours at a constant speed. If the distance between the two cities is halved but the speed remains the same, how long would it take for the train to travel? Propose various responses using chain-of-thought reasoning, evaluate all responses based on available information and intuition, and pick the most accurate response."} {"instruction": "A chat. John has twice as many apples as Tom. Together they have 18 apples. How many apples does each person have? Use chain-of-thought reasoning to provide multiple answers, ranking them according to accuracy and completeness, then select the best possible output based on available information."} {"instruction": "A chat. A square field has sides measuring 50 meters. What is its perimeter? Produce several possible answers, explaining your logic for each. Next, sort these solutions by accuracy and completeness, then settle on the best one."} {"instruction": "A chat. Given a set of numbers {1, 2, 3, ..., n}, how many subsets can be formed that include the number 1? Assume that n > 1. Propose different solutions, describe your logic for each, rank them by validity, and decide on the best answer."} {"instruction": "A chat. A library contains 1200 books. 30% of the books are fiction and the rest are non-fiction. How many fiction and non-fiction books does the library have? Give several possible answers to the question, ensuring you provide step-by-step reasoning for each. After you have provided possible solutions, rank the solutions in order of accuracy and completeness, then select the best possible output based on available information."} {"instruction": "A chat. A train travels at 60 miles per hour for the first two hours of its journey. Then, it slows down to 40 miles per hour for the next three hours. How far has the train traveled? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A rectangle's area is 48 square inches, and its length is twice its width. What are the dimensions of the rectangle? Provide multiple possible answers, rank them according to their thoroughness and reliability, and select the best one."} {"instruction": "A chat. Consider a sequence where each term after the first two is the sum of the preceding two terms (Fibonacci sequence). If the first two terms are 1 and 1, what is the 10th term? Generate several possible answers, ensure logical reasoning for each, rank them by accuracy, and select the best one."} {"instruction": "A chat. There are 7 people in a room. Each person shakes hands with every other person once. How many handshakes occur? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information."} {"instruction": "A chat. A train leaves the station at 8 AM traveling at a speed of 60 miles per hour. Another train leaves the same station, in the same direction, at 10 AM and travels at a speed of 80 miles per hour. At what time will the second train catch up to the first? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. In a room there are 5 people, each person shakes hands with every other person once. How many handshakes occur? Give several possible answers to the question, ensuring you provide step-by-step reasoning for each. After you have provided possible solutions, rank the solutions in order of accuracy and completeness, then select the best possible output based on available information."} {"instruction": "A chat. A rectangular garden measures 10m by 15m. If you want to increase the area of the garden by 50% while keeping the shape a rectangle, what could be the new dimensions? Generate several possible solutions using chain-of-thought reasoning and provide step-by-step explanations for each. Rank these solutions in order of feasibility, then select the best one based on all available information."} {"instruction": "A chat. In a certain city, it takes 30 minutes for a bus to travel from one end to another without any stops. However, there are 10 stops along the route where the bus pauses for 2 minutes each. How long would it take for the bus to complete its journey? Provide multiple answers using various assumptions about traffic conditions, driver speed, etc., rank them according to their likelihood, and choose the most probable answer."} {"instruction": "A chat. A group of people are standing in a circle. Each person shakes hands with every other person exactly once. If there were a total of 66 handshakes, how many people were in the group? Provide several possible answers and reasoning for each. Rank these solutions based on accuracy and completeness, then select the best possible output."} {"instruction": "A chat. A restaurant has 10 tables. Each table seats 4 people. If the restaurant is full, how many customers are dining? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. If a bakery sells 4 loaves of bread every 15 minutes, how many loaves would they sell in 2 hours? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. In a bag of marbles, 4 out of every 7 marbles are red. If there are 21 marbles in the bag, how many are red? Generate several possible answers using chain-of-thought reasoning, rank them according to their accuracy and completeness, and provide the best output based on the available information."} {"instruction": "A chat. A group of people were standing under an umbrella but none of them got wet. Why? Suggest multiple solutions, compare them for validity and thoroughness, and identify the best option."} {"instruction": "A chat. A scientist has discovered a species of bacteria that doubles every hour. If a petri dish was filled after 6 hours, when was it half full? Provide multiple solutions, describe your reasoning for each, rank them in order of scientific plausibility, and choose the best solution."} {"instruction": "A chat. You are planning a party and want to serve pizza. Each pizza has 8 slices and you expect each guest to eat 3 slices. If you're expecting 25 guests, how many pizzas should you order? Generate several possible answers using chain-of-thought reasoning, rank them according to accuracy and completeness, and provide the most likely correct output based on the information given."} {"instruction": "A chat. You have 8 identical coins and one which is slightly heavier. Using a balance scale, what's the minimum number of weighings needed to find the heavier coin? Present multiple solutions, explaining your steps thoroughly. Afterward, arrange these solutions from most to least accurate, and select the best answer."} {"instruction": "A chat. A group of friends are planning a road trip. The car they will be using can travel 300 miles on one tank of gas. Each friend has agreed to pay for one full tank of gas. If there are 4 friends going on the trip, how far can they travel? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A car travels at a speed of 60 miles per hour. How far will it travel in 4 hours? Consider different scenarios using chain-of-thought reasoning, provide several possible answers with step-by-step explanations, rank them according to accuracy and completeness, and choose the best output based on available information."} {"instruction": "A chat. A car consumes 5 liters of gas every 100 kilometers. If gas costs $1.20 per liter, how much would it cost to drive 600 kilometers? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. Three friends check into a hotel room that costs $30. They split the cost and pay $10 each. Later, the hotel manager realizes the room was only supposed to cost $25 and gives the bellhop $5 to return to the guests. On the way to the room, the bellhop decides to keep $2 for himself, so he only returns $1 to each guest. Now, each guest paid $9 (totaling $27) and the bellhop kept $2. That totals $29. Where's the missing dollar? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A box contains coins of denominations 1 cent, 5 cents, and 10 cents. If a coin is chosen at random, what is the expected value of the coin? Present multiple computations, rank them based on accuracy, and select the most correct computation."} {"instruction": "A chat. In a deck of cards, what are the odds of drawing a heart or a queen? Calculate the probability for several different situations (e.g., with replacement, without replacement), rank them in order of likelihood, and select the most accurate response."} {"instruction": "A chat. A snail climbs up a wall during the day but slips down a bit while sleeping at night. If the wall is 20 feet high, the snail climbs 5 feet each day, and slips down 2 feet each night, how many days will it take for the snail to get out of the well? Provide several possible answers, rank them based on the scenario described, and select the most probable one."} {"instruction": "A chat. If a sequence begins 1, 1, 2, 3, 5..., where each subsequent number is the sum of the previous two, what is the tenth number in the sequence? Suggest several solutions, justify each one, and identify the most reliable result."} {"instruction": "A chat. You have two ropes, each burns out exactly in one hour. They do not burn at consistent rates along their lengths, so half burning does not necessarily take half an hour. Without any timing device, how can you measure a period of 45 minutes? Propose various solutions detailing your reasoning, rank them based on practicality, and pick the best one."} {"instruction": "A chat. The Fibonacci sequence starts with 0 and 1, and each subsequent number is the sum of the previous two. If the nth term of this sequence is 144, what could be the value of n? List several possibilities, rank them based on plausibility, and select the most probable option."} {"instruction": "A chat. A bus travels 50 miles in an hour. If the speed remains constant, how long will it take to travel 200 miles? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A rectangular room measures 10 meters by 15 meters. What is its area? Offer various solutions, documenting your chain-of-thought for each. Following this, classify these solutions by validity and detail, then opt for the best one."} {"instruction": "A chat. An online retailer offers discounts on bulk purchases: buy 2 get 1 free. How much would you save if you wanted to purchase 9 items? Provide multiple solutions explaining your thought process for each, rank them in terms of correctness, and choose the best solution."} {"instruction": "A chat. A car travels 60 miles in one hour. How far will it travel in five hours if its speed remains constant? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A farmer has a fox, a chicken, and a sack of grain. He needs to cross a river but his boat can only carry him and one item at a time. If he leaves the fox alone with the chicken, the fox will eat the chicken. If he leaves the chicken alone with the grain, the chicken will eat the grain. How can the farmer get everything across the river safely? Provide several strategies and explanations, rank them in order of likelihood, and determine the most probable outcome."} {"instruction": "A chat. If a train leaves Station A traveling at 60 mph and another train leaves Station B (200 miles away) traveling toward it at 80 mph, when will they meet? Produce several potential outcomes, detail your reasoning for each, and select the most likely scenario."} {"instruction": "A chat. A fruit basket contains apples, oranges, and bananas in the ratio 4:3:2 respectively. If there are 27 fruits in total, how many of each fruit are there? Present several interpretations of the ratio, rank them, and select the best interpretation."} {"instruction": "A chat. You buy a bag of apples for $10. Each apple costs $0.50. How much change should you receive if you give the cashier a $20 bill? Use chain-of-thought reasoning to provide several possible answers, ensuring you provide step-by-step reasoning for each. After you have provided possible solutions, rank the solutions in order of accuracy and completeness, then select the best possible output based on available information."} {"instruction": "A chat. If a tree grows 2 inches every year, how tall will it be in 20 years? Assume the tree is currently 5 feet tall. Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A rectangle has a perimeter of 24 cm and a length that is twice its width. What are the dimensions of the rectangle? Generate several potential solutions, rank them based on their logic and completeness, and choose the best one."} {"instruction": "A chat. A group of 7 friends are planning a trip. Each friend can drive and has a car that fits 5 people including the driver. How many cars will they need for their trip? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. In a game of chess, each player starts with 16 pieces. If after ten moves, Player A has lost two pawns and Player B has lost one knight, how many total pieces remain on the board? Provide multiple solutions taking into account different scenarios, rank them, and choose the most accurate solution."} {"instruction": "A chat. Three friends share a bag of marbles. The first friend takes half of the marbles plus two more. The second friend takes half of what's left plus two more. The third friend takes the remaining 14 marbles. How many marbles were originally in the bag? Propose multiple solutions, giving your step-by-step reasoning for each. Organize these solutions by clarity and completeness, then choose the most accurate solution."} {"instruction": "A chat. A garden has 5 apple trees. Each tree produces 10 apples. If half of the apples are eaten by birds, how many apples are left? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A class consists of students who study either French, Spanish, or both. If 20 students study French, 15 study Spanish, and 5 study both, how many students are there in total? Give several possible answers, provide step-by-step reasoning for each, rank the solutions in order of accuracy and completeness, then select the best possible output based on available information."} {"instruction": "A chat. A car travels 120 miles on a full tank of gas. If the tank holds 15 gallons, how many miles per gallon does the car get? Come up with multiple solutions, rank them based on precision and ease of understanding, and select the best one."} {"instruction": "A chat. In a class of 25 students, each student has to shake hands with every other student once. How many handshakes will there be in total? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. You have a bag containing red, blue, and green marbles in a ratio of 3:2:1 respectively. If you randomly draw a marble from the bag, what is the probability that it is not green? Construct several possible solutions, rank them based on statistical correctness, and select the best one."} {"instruction": "A chat. In a box, there are 4 red balls, 6 blue balls, and 10 green balls. What is the probability of picking a red ball? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. In a chess tournament, each player plays against every other player exactly once. If there are 6 players in total, how many games are played? Provide multiple solutions using various combinatorial approaches, then rank them according to completeness and correctness, and choose the most accurate answer."} {"instruction": "A chat. In a classroom, there are 30 students. Every student shakes hands with every other student once. How many handshakes occurred? Provide various answers, detailing your line of thinking for each. Rank these solutions by accuracy and detail, then determine the best response."} {"instruction": "A chat. If a square garden plot measures 20 feet on a side, and a border of flowers is planted around the outside, covering an area equal to half the area of the garden, how wide is the flower border? Provide several potential solutions, detailing your steps for each, then select the most accurate and comprehensive solution."} {"instruction": "A chat. If a train travels at an average speed of 60 miles per hour, how far will it travel in 2 hours and 30 minutes? Develop various ways to solve this problem, rank them based on clarity and accuracy, and pick the top solution."} {"instruction": "A chat. A train travels at a speed of 80 km/h. It takes 2 hours to reach its destination. How far is the destination from the starting point? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. There are 20 birds on a tree. A hunter shoots and kills one. How many remain on the tree? Produce several potential answers, outlining your reasoning for each. Sort these answers by their plausibility and select the most appropriate one."} {"instruction": "A chat. A cyclist rides at an average speed of 20 km/h. How far will she ride in 45 minutes? Provide multiple solutions using different methods of calculation, rank them based on simplicity and accuracy, then select the best solution."} {"instruction": "A chat. You have 12 apples. Each apple weighs around 150 grams. What is the total weight of the apples? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A school has 400 students. Each student needs 5 textbooks. However, 10% of the textbooks were damaged and cannot be used. How many usable textbooks does the school have? Give several possible answers to the question, ensuring you provide step-by-step reasoning for each. After you have provided possible solutions, rank the solutions in order of accuracy and completeness, then select the best possible output based on available information."} {"instruction": "A chat. You have a box containing red, blue, and green balls. The ratio of red to blue to green is 3:2:1. If there are 24 balls in total, how many balls of each color are there? Propose several solutions by interpreting the ratio differently, rank them, and select the best one."} {"instruction": "A chat. You have a bag containing 5 red balls, 3 blue balls, and 2 green balls. If you draw one ball at random, what is the probability of drawing a red ball? What if you draw two balls without replacement? Generate several possible answers using chain-of-thought reasoning, rank them according to their accuracy and completeness, and choose the most likely output based on the information provided."} {"instruction": "A chat. If it takes 6 workers 8 hours to build a wall, how long would it take 12 workers to do the same job? Consider various scenarios, providing detailed explanations for each, then evaluate them based on their validity and completeness, finally selecting the most plausible solution."} {"instruction": "A chat. If a snail climbs up a 15ft wall climbing 5ft per day but slipping down 4ft each night, how many days does it take to reach the top? Generate multiple possible answers, giving thorough explanations for each. Rank these answers by their logical consistency and choose the best one."} {"instruction": "A chat. Using six straight lines, what is the maximum number of sections into which a plane can be divided? Offer several possible answers, assess each for mathematical soundness, and determine the most likely correct answer."} {"instruction": "A chat. A cube-shaped box with edge length of 10 cm is filled with smaller cubes with edge lengths of 2 cm. How many small cubes fit into the box? Produce multiple solutions, explain your thinking process, rank them, and select the most accurate answer."} {"instruction": "A chat. A library contains 500 books, half of which are fiction and the rest non-fiction. If 20% of the fiction books are thrillers, how many thriller books does the library have? Develop multiple responses using logical reasoning, explain your thought process for each, then choose the most plausible answer."} {"instruction": "A chat. An ant colony doubles its population every week. If the colony starts with 100 ants, how many ants will there be after 5 weeks? Propose multiple possible answers, rank them based on logic and plausibility, and select the best one."} {"instruction": "A chat. There are 8 people in a room. Each person shakes hands with every other person once. How many handshakes occur? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A farmer has chickens and cows. He counts 50 heads and 140 legs. How many chickens and cows does he have? Generate several possible solutions, explaining your reasoning for each. Rank these solutions by their logical soundness and select the best answer."} {"instruction": "A chat. If a car uses 8 gallons of gas to travel 160 miles, how many gallons will it use to travel 400 miles? Use chain-of-thought reasoning to provide several possible answers, ensuring you provide step-by-step reasoning for each. After you have provided possible solutions, rank the solutions in order of accuracy and completeness, then select the best possible output based on available information."} {"instruction": "A chat. A farmer has a chicken coop with three doors. Each door leads to a different section of the coop, and each section can hold a maximum of 10 chickens. If the farmer distributes his 24 chickens evenly among the sections, how many chickens will be in each section? Provide several possible solutions using various mathematical approaches, then rank these solutions based on their feasibility and select the best one."} {"instruction": "A chat. There are 100 employees in a company. If 60% of them are engineers and the rest are managers, how many managers are there? Formulate several potential answers, explaining your rationale for each. Then, order these solutions by precision and thoroughness before selecting the optimal one."} {"instruction": "A chat. If a train leaves Station A traveling at 80 mph towards Station B which is 160 miles away, while another train leaves Station B at the same time traveling at 60 mph towards Station A, when will they meet? Give several possibilities considering factors like acceleration and deceleration, then pick the most plausible answer."} {"instruction": "A chat. In a class of 30 students, each student has to pair up with another for a project. If every student can only work on one project at a time, how many projects will there be? Generate several possible answers using different reasoning approaches, rank them based on their logical soundness and select the best answer."} {"instruction": "A chat. A bag contains coins of denominations 1, 2, and 5. The total value of the 1s is equal to the total value of the 2s, which is also equal to the total value of the 5s. If there are 30 coins in total, how many coins of each denomination are there? Present multiple scenarios, evaluate them for mathematical soundness and practicality, and select the most probable situation."} {"instruction": "A chat. You buy a box of chocolates containing 24 pieces. You eat 3 pieces every day. However, every Sunday, you allow yourself to eat an extra piece. How many days will it take you to finish the box of chocolates? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. You have a box containing red, blue, and green balls. The probability of picking a red ball is twice that of picking a blue ball, while the chance of picking a green ball is half that of picking a blue ball. If there are 60 balls in total, how many balls of each color are there? Propose various solutions, rank them according to their logical consistency, and choose the best one."} {"instruction": "A chat. A group of people are planning a car trip. They have 2 cars, one can seat 5 people and the other can seat 4 people. If the group includes 7 people, suggest several seating arrangements. Then rank these arrangements based on comfort and practicality, and select the best one."} {"instruction": "A chat. An apple tree produces 200 apples in a season. Each apple weighs approximately 150 grams. How heavy would all the apples from the tree be in kilograms? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A sequence starts with the numbers 2, 4. Each subsequent number is the sum of the previous two numbers minus 1. What would be the seventh number in this sequence? Offer several possible answers, assess each for mathematical soundness, and determine the most likely correct answer."} {"instruction": "A chat. A shop sells 10 loaves of bread in 2 hours. How many loaves will it sell in 5 hours? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. There are 10 people in a room. If everyone shakes hands with everyone else exactly once, how many handshakes occur? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A gardener plants flowers in rows, with 7 flowers in each row. If she has 200 flowers, how many complete rows can she plant and how many flowers will remain unplanted? Generate several potential answers, assess each for correctness, and select the most likely answer."} {"instruction": "A chat. In a game of chess, it takes an average of 3 minutes to make a move. How long would a game last if it had 40 moves? Use chain-of-thought reasoning to generate several potential responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. An ant walks around the edges of a cube, never crossing over the same edge twice. How many unique paths can the ant take? Present multiple possibilities, ranking them by their likelihood and logic, then select the best answer."} {"instruction": "A chat. A bakery sells cupcakes in boxes of 6, 9, or 12. Alice wants to buy exactly 100 cupcakes for her party but doesn't want any leftovers. Is it possible for Alice to buy exactly 100 cupcakes? Provide several possible answers to the question, ensuring you provide step-by-step reasoning for each. After you have provided possible solutions, rank the solutions in order of accuracy and completeness, then select the best possible output based on available information."} {"instruction": "A chat. Consider a group of 20 people where everyone shakes hands with everyone else once. How many handshakes occur? Develop several answers using combinatorial theory, rank them, and select the most appropriate answer."} {"instruction": "A chat. A water tank fills at a rate of 25 liters per minute. How long will it take to fill a 1000 liter tank? Provide multiple solutions considering possible variations in flow rate, rank them, and select the best solution."} {"instruction": "A chat. A group of people decide to send emails in a chain format. Each person sends an email to two people, who haven't received an email yet. This continues until everyone has received an email. If there are 1023 people in total, how many rounds of emails were sent? Give several possible answers, rank them in order of accuracy, and select the best one."} {"instruction": "A chat. If five machines can produce five widgets in five minutes, how long would it take 100 machines to make 100 widgets? Generate several possible solutions, rank them in terms of their validity, and select the best answer."} {"instruction": "A chat. It takes 5 minutes for a water tap to fill up a bucket. How long will it take to fill up 4 buckets? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A car travels 75 miles per hour for 2 hours, then 55 miles per hour for another 2 hours. What is the average speed of the car for the entire trip? Develop several possible answers, detailing your calculations for each, then decide on the most precise and complete solution."} {"instruction": "A chat. In a box, there are 8 red balls, 5 blue balls, and 7 green balls. If you randomly pick one ball out of the box, what is the probability that it will be either red or blue? Generate several possible answers using chain-of-thought reasoning, rank them in order of accuracy and completeness, and then choose the best output based on the available data."} {"instruction": "A chat. A group of friends decides to split the bill equally after dinner. They spent $150 in total. One friend had to leave early and gave $40 towards the bill. How much does each person have to pay if there were originally 6 people in the group? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A cyclist covers a distance of 150 kilometers in 5 hours. What is his average speed? Suggest numerous solutions, outlining your line of thinking for each. Consequently, arrange these solutions according to their reliability and depth, then pick the best one."} {"instruction": "A chat. A bus leaves the station every 15 minutes. If a passenger arrives at the station randomly, what is the average waiting time for the next bus? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A car travels 100 miles in 2 hours. How long would it take to travel 500 miles? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A company has 10 employees, each working 8 hours a day for 5 days in a week. If the company decides to reduce the work hours by 20% but maintain the same output, how many additional employees would they need to hire? Provide multiple solutions with step-by-step reasoning, rank them based on their accuracy and completeness, then select the best possible solution."} {"instruction": "A chat. A group of friends decide to share equally the cost of a meal. However, two friends do not have enough money and pay $10 less than they should. This increases everyone else's share by $5. How many friends are there in total? Give several possible answers, explain your reasoning, rank them, and select the most plausible answer."} {"instruction": "A chat. If you have a 5-gallon jug and a 3-gallon jug with unlimited water supply, how could you measure exactly 4 gallons? Propose multiple methods, explain your thought process for each, rank them by feasibility, and identify the optimal solution."} {"instruction": "A chat. An airplane travels from City A to City B, which are 3000 miles apart. The plane has a cruising speed of 500 mph, but there is a constant headwind of 50 mph. How long does the journey take? Formulate multiple answers, describe your thought process, rank them, and select the most accurate answer."} {"instruction": "A chat. There are 5 different books. In how many ways can these books be arranged on a shelf? Provide several possible answers, ensuring you provide step-by-step reasoning for each. After providing possible solutions, rank them in order of accuracy and completeness, then select the best possible output based on available information."} {"instruction": "A chat. A rectangular room measures 12m by 16m. If you were to lay square tiles side by side without any gaps or overlaps, what would be the maximum size of each tile? Propose multiple answers, detail your calculations, rank them according to their feasibility, and select the optimal solution."} {"instruction": "A chat. A square garden has a side length of 12m. What is the area of the garden? Develop multiple answers using different methods of calculation, rate them by ease and precision, and then choose the top solution."} {"instruction": "A chat. A man buys a horse for $60, sells it for $70, buys it back for $80, and sells it again for $90. How much profit did he make? Formulate several possible solutions, providing detailed reasoning for each. Arrange these solutions by their correctness and completeness, then decide on the best possible outcome based on the given information."} {"instruction": "A chat. A car travels from Town X to Town Y at a speed of 60 km/h and returns at a speed of 40 km/h. If the entire journey took 5 hours, how far apart are the two towns? Generate multiple solutions, give detailed explanations, rank them, and choose the most appropriate answer."} {"instruction": "A chat. A factory produces 5 cars every hour. Each car requires 3 hours to assemble. How many workers would be needed if the factory wants to produce 20 cars in an hour? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. There are 16 ounces in a pound. How many pounds are there in 64 ounces? Generate multiple solutions using different calculation methods, rank them according to their simplicity and effectiveness, then select the best solution based on these criteria."} {"instruction": "A chat. If a certain disease doubles in spread every day and it takes 10 days to infect the entire population, on which day was half the population infected? Propose multiple solutions, rank them, and select the most plausible one."} {"instruction": "A chat. In a classroom, there are 15 students. Each student shakes hands with every other student once. How many handshakes occur in total? Generate several potential answers through various reasoning processes, then rank these responses by likelihood and completeness before selecting the most accurate solution."} {"instruction": "A chat. A snail climbs up 7 feet during the day but slips down 2 feet each night. How many days will it take for the snail to get out of a 30-foot well? Propose multiple solutions, explaining your reasoning for each, then pick the most accurate answer."} {"instruction": "A chat. If a snail climbs up a wall for 3 feet each day but slips down 2 feet each night, how many days will it take to reach the top of a 12-foot wall? Provide several possible answers, give step-by-step reasoning for each, rank the solutions in order of accuracy and completeness, then select the best possible output."} {"instruction": "A chat. A bottle holds 1 liter of water. How many bottles would be needed to fill a tank holding 25 liters? Provide several possible solutions accounting for spillage and evaporation, then rank these solutions based on their feasibility and select the best one."} {"instruction": "A chat. A train travels at a speed of 60 mph. It takes the train 2 hours to reach its destination. If the train had traveled at a speed of 80 mph, how long would it have taken to reach the same destination? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. In a class of students, some students play only basketball, some play only soccer, and some play both games. If 20 students play basketball, 25 students play soccer, and 30 students play either game, how many students play both games? Suggest multiple solutions, rank them based on the given data, and select the most suitable one."} {"instruction": "A chat. If a car travels at 60 miles per hour for 2 hours, then slows to 30 miles per hour for the next 3 hours, how far has it traveled? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A runner completes a 5km race in 25 minutes. What was his average speed in km/hour? Come up with multiple solutions, rank them based on precision and simplicity, and select the best one."} {"instruction": "A chat. There are five different species of birds in a park. Each bird can sing three unique songs. How many distinct songs would you hear if all species sang all their songs? Formulate multiple solutions considering various aspects such as repetition, overlap, etc., rank these solutions, and choose the best one."} {"instruction": "A chat. A factory produces 200 widgets in 5 days working 8 hours a day. How many widgets does the factory produce in an hour? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. John has 5 apples. He eats 2 apples and gives away 1 apple. How many apples does he have left? Consider multiple scenarios using chain-of-thought reasoning, provide several possible answers ensuring you explain your thought process for each, rank them according to their probability based on given information, and finally determine the most likely answer."} {"instruction": "A chat. A group of friends decided to share the cost of a $90 meal equally. If one more friend joins, everyone will pay $2 less. How many friends were originally planning to eat? Generate several potential solutions, rank them based on their logic and completeness, and choose the best one."} {"instruction": "A chat. There are 8 people in a room, each shaking hands with everyone else exactly once. How many handshakes occurred? Offer multiple solutions using different counting techniques, rank them, and choose the most correct solution."} {"instruction": "A chat. A restaurant has 10 tables. Each table can seat 4 people. How many people can the restaurant accommodate? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. An online store sells books and CDs. The price of a book is three times that of a CD. If someone bought 10 items for $100, how many books and CDs did they buy? Offer multiple possibilities, evaluate them for realism and mathematical validity, and pick the most likely scenario."} {"instruction": "A chat. In a room, there are 10 people, each shaking hands with every other person exactly once. How many handshakes occurred? Provide multiple methods to solve this problem, detailing your thought process for each. Rank them according to their complexity and accuracy, then choose the best method."} {"instruction": "A chat. An office has 4 printers. Each printer uses 3 ink cartridges per month. How many ink cartridges are used in a year? Provide multiple solutions based on different assumptions, rank them according to their likelihood and select the best one."} {"instruction": "A chat. In a bag of marbles, 5 are red, 7 are blue, and 8 are green. What is the probability of drawing a red marble? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. An artist uses 3 primary colors (red, blue, yellow) to create different shades. How many unique combinations can they make if they can use up to 3 colors at once, but cannot repeat any color in a single combination? Generate several potential answers, assess each for correctness, and pick the most probable one."} {"instruction": "A chat. A bacteria colony doubles in size every hour. If it takes 5 hours for the colony to fill a petri dish, when was the dish half full? Come up with several possible answers, rank them based on biological growth patterns, and choose the most probable one."} {"instruction": "A chat. If a rectangular room measures 12 feet by 16 feet, what is the length of the diagonal from one corner to the opposite corner? Offer several potential answers, explaining your thought process for each. Organize the solutions according to their mathematical soundness and choose the most likely answer."} {"instruction": "A chat. A computer network has 10 nodes, each node can connect to any other node in the network. How many unique connections are possible? Provide multiple solutions based on different assumptions, rank them according to their likelihood and select the best one."} {"instruction": "A chat. A bakery makes 5 loaves of bread every hour. If the bakery operates for 8 hours a day, how many loaves of bread can it produce in a week? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. John reads 20 pages of a book every day. After reading for 15 days, he has read 60% of the book. How many pages does the book have in total? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A father is four times as old as his son. In 20 years, he will be twice as old as his son. How old are they now? Generate several possible age combinations, provide step-by-step reasoning for each, rank these combinations in order of credibility, then select the best one based on all available information."} {"instruction": "A chat. A baker uses 4 eggs to make 12 cupcakes. How many eggs would he need to make 48 cupcakes? Use chain-of-thought reasoning to provide several possible answers, ensuring you provide step-by-step reasoning for each. After providing possible solutions, rank them in order of accuracy and completeness, then select the best possible output based on available information."} {"instruction": "A chat. An object thrown upwards with a velocity of 20 m/s accelerates downwards due to gravity at 9.8 m/s\u00b2. How long does it take for the object to reach its maximum height? Offer several solutions incorporating different physics principles, rank them, and choose the best one."} {"instruction": "A chat. The Fibonacci sequence starts with 0 and 1, and each subsequent number is the sum of the previous two. If you continue this pattern, what would be the 10th number in the sequence? Formulate several potential answers using different calculation strategies, evaluate them for correctness, and determine the most accurate response."} {"instruction": "A chat. You have 10 apples. Each day you eat 2 apples. After how many days will you run out of apples? Consider different possibilities and explain your reasoning."} {"instruction": "A chat. A pizza place offers 10 toppings. A customer can choose any combination of toppings, but at least one topping must be chosen. How many different pizzas can the customer order? Formulate multiple solutions using set theory, rank them, and choose the best one."} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour. The distance from Town A to Town B is 300 miles. How long does it take for the train to travel this distance? Offer several possibilities considering factors like changes in speed, stops, delays etc., rank these possibilities, and pick the most probable one."} {"instruction": "A chat. A book contains 300 pages. Each page has 40 lines and each line can accommodate approximately 10 words. Calculate the total number of words in the book. Develop multiple estimates based on different considerations (e.g., blank spaces, chapter titles), rank them by their reasonableness, and select the best estimate."} {"instruction": "A chat. It takes Jane 30 minutes to read 15 pages of a book. At this rate, how long will it take her to read a 300-page book? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. An apple tree produces 200 apples in a year. Each apple contains around 10 seeds. How many seeds does the tree produce in a year? Generate several possible answers using chain-of-thought reasoning, ensuring you provide step-by-step reasoning for each. After providing possible solutions, rank them in order of accuracy and completeness, then select the best possible output based on available information."} {"instruction": "A chat. A clock strikes once at 1 o'clock, twice at 2 o'clock, thrice at 3 o'clock, and so on. How many times does it strike in 24 hours? Create multiple possible solutions, evaluate each for correctness, and choose the best one."} {"instruction": "A chat. A baker uses 2 cups of flour to bake 12 cookies. How many cups of flour would he need to bake 60 cookies? Propose multiple solutions accounting for factors like cookie size, recipe modifications etc., rank these solutions, and select the best one."} {"instruction": "A chat. A car travels at a speed of 60 miles per hour. A bird starts flying at the same time when the car starts and flies back and forth between the car and a tree which is 120 miles away until the car reaches the tree. The bird flies at a speed of 90 miles per hour. What distance did the bird cover? Offer multiple possibilities along with detailed reasoning, rank them based on accuracy, and pick the best answer."} {"instruction": "A chat. If a car travels at 60 miles per hour and it takes 3 hours to reach its destination, how far is the destination? Consider various scenarios in your chain-of-thought reasoning before providing possible solutions. Rank these solutions based on accuracy, completeness, and probability of being correct."} {"instruction": "A chat. In a school, there are twice as many girls as boys. If the total number of students is 360, how many boys are there in the school? Formulate multiple potential solutions, evaluate each for correctness, and choose the best one."} {"instruction": "A chat. A machine fills bottles with juice at a rate of 200 bottles per hour. How many bottles will it fill in 15 minutes? Generate several possible answers, then rank these in order of likelihood and completeness before selecting the most plausible answer."} {"instruction": "A chat. A runner completes a marathon in 4 hours. He plans to improve his time by 10% in the next race. What should be his target time? Generate different possible times, evaluate each one, and pick the most achievable goal."} {"instruction": "A chat. A farmer has a field shaped like a right-angled triangle. The lengths of the sides are 15m, 20m, and 25m. What is the area of the field? Propose multiple solutions utilizing different formulas or principles, rank them by their accuracy, and select the best answer."} {"instruction": "A chat. In a class of 25 students, each student has read 4 books. How many books have been read in total? Generate several possible answers using chain-of-thought reasoning, rank them according to accuracy and completeness, and provide the most likely answer based on the available information."} {"instruction": "A chat. A car uses 8 liters of fuel to travel 100 km. How much fuel will it use to travel 350 km? Use your understanding of proportionality to come up with multiple solutions, assess each one's plausibility, and choose the best one."} {"instruction": "A chat. Two trains start from cities 500 miles apart and head towards each other. One train travels at 70 mph and the other at 80 mph. How much time passes before they meet? Offer multiple solutions, rank them by accuracy, and select the best one."} {"instruction": "A chat. You have a book of 200 pages. Each day you read double the number of pages you read the previous day starting with one page on the first day. How many days will it take to finish the book? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. In a classroom, there are 12 boys and 15 girls. What is the ratio of boys to girls? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. In a class, the ratio of boys to girls is 3:2. If there are 25 students in the class, how many are boys and how many are girls? Suggest various solutions, assess them based on their logic and feasibility, and decide on the best option."} {"instruction": "A chat. A garden has a population of rabbits and squirrels. The total number of animals is 30, and the total number of legs is 100. How many rabbits (4-legged) and how many squirrels (2-legged) are there? Generate several possible combinations, provide step-by-step reasoning for each, rank them in order of plausibility, and select the most likely scenario based on available information."} {"instruction": "A chat. A pizza place offers 10 toppings. A customer orders a pizza with any 3 toppings. How many different pizzas could the customer order? Provide several possible answers, rank them in terms of accuracy, and select the best possible answer."} {"instruction": "A chat. You have 6 apples and you eat 2. Then your friend gives you some more apples. Now you have 9 apples. How many apples did your friend give you? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A snail climbs up a wall during the day and slides down a bit while sleeping at night. If the snail climbs 3 feet each day and slides down 1 foot each night, how many days does it take for the snail to climb a 10-foot wall? Generate several scenarios, rank them based on plausibility, and select the most reasonable scenario."} {"instruction": "A chat. A car uses 5 liters of fuel to travel 100 kilometers. How much fuel will the car use to travel 450 kilometers? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. The Fibonacci sequence starts with 0 and 1, and each subsequent number is the sum of the previous two. If the 5th term is 3, what could be the next three terms? Propose several possibilities, explaining your logic for each. Order these from least to most likely, then identify the most plausible set of numbers."} {"instruction": "A chat. An orchestra consists of 60 musicians. The orchestra is divided into strings, woodwinds, brass, and percussion sections. If the string section has twice as many members as the brass section, and the woodwind section has half as many members as the string section, while the percussion section has 5 members, propose several distributions of musicians across the sections. Rank these distributions based on their plausibility and select the most likely one."} {"instruction": "A chat. A digital clock shows hours and minutes. Over a 24-hour period, how many times do both the hour and minute show the same digit (like 11:11)? Propose multiple solutions taking into account different interpretations of the question, rank them by their accuracy, and select the best answer."} {"instruction": "A chat. A cube has a volume of 27 cubic meters. If the length of each side is tripled, what would be the new volume? Generate several possible answers using mathematical reasoning and intuition, then rank them based on their accuracy. Finally, select the most plausible answer."} {"instruction": "A chat. Two cars start from the same point and drive in opposite directions. One car drives at 50 km/h and the other at 70 km/h. How far apart are they after 2 hours? Consider different scenarios including possible rest stops, traffic conditions etc., rank them, and select the most reasonable one."} {"instruction": "A chat. Two trains start from opposite ends of a 500km track and travel towards each other. One train travels at 70km/h and the other at 80km/h. How long until they meet? Generate several possible answers, then rank these in order of likelihood and completeness before selecting the most plausible answer."} {"instruction": "A chat. A book contains 100 pages. If you open the book completely randomly, what is the probability that the sum of the two facing page numbers is 101? Propose several solutions, rank them according to their likelihood, and choose the most probable solution."} {"instruction": "A chat. A factory produces 200 units of a product each day. Due to increased demand, they plan to boost production by 15% but without extending working hours. How can they achieve this? Propose multiple strategies, assess each one, and identify the most effective approach."} {"instruction": "A chat. A bottle contains 500 ml of water. Each glass holds 200 ml. How many glasses can be filled? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. The sum of three consecutive odd numbers is 75. What are the numbers? Provide multiple solutions detailing your reasoning, rank them based on their validity, and select the best one."} {"instruction": "A chat. Five machines can produce 5 widgets in 5 minutes. How long would it take 100 machines to produce 100 widgets? Present several possibilities, analyze each for plausibility and detail, and pick the most suitable solution."} {"instruction": "A chat. A farmer has 12 apple trees. Each tree produces 20 apples. Half of the apples are sold at the local market, while the rest are used to make cider. How many apples does the farmer use to make cider? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. If a car travels at 60 miles per hour and it takes 2 hours to reach its destination, how far is the destination? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A bag contains 20 marbles - 5 red, 7 blue, and 8 green. If a marble is drawn randomly from the bag, what is the probability that it is not green? Offer several solutions accounting for different interpretations of the problem, assess them for mathematical soundness, and decide on the most precise answer."} {"instruction": "A chat. A cube has a volume of 27 cubic centimeters. What could be the length of its edges? Put forward several possibilities, elucidating your reasoning for each. Classify these possibilities by their mathematical soundness, then pinpoint the most probable possibility."} {"instruction": "A chat. You have two hourglasses - one measures 7 minutes and the other measures 11 minutes. Using only these two hourglasses, how can you measure exactly 15 minutes? Propose multiple methods, explain your thought process for each, rank them by feasibility, and identify the optimal solution."} {"instruction": "A chat. If a train leaves Station A at 9 AM traveling at 80 km/hr and another train leaves Station B (200 km away) towards Station A at 10 AM traveling at 100 km/hr, when and where will they meet? Present multiple scenarios based on different assumptions, rank them in order of feasibility, and choose the most likely scenario."} {"instruction": "A chat. If every person in a room shakes hands with every other person exactly once, and a total of 66 handshakes occur, how many people are in the room? Develop multiple possible solutions, analyze each for validity, and decide on the most likely solution."} {"instruction": "A chat. A gardener plants 36 flowers in 6 rows. How many flowers are in each row if they're evenly distributed? Provide several methods for solving this, rank them by complexity, and choose the simplest method as the best answer."} {"instruction": "A chat. A cube has a volume of 27 cubic centimeters. What is the length of one side? Produce several possible answers, analyze each for correctness, and pick the most plausible one."} {"instruction": "A chat. It takes a team of three workers 6 hours to paint a house. The team starts painting at 8 am. When will they finish if another worker joins the team after lunch at 1 pm? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A farmer has 12 apple trees. Each tree produces 20 apples. If the farmer sells the apples in bags of 5, how many bags of apples can he sell? Generate several possible answers using chain-of-thought reasoning, ensuring you provide step-by-step reasoning for each. After providing possible solutions, rank them in order of accuracy and completeness, then select the best possible output based on available information."} {"instruction": "A chat. A group of friends decide to share equally the cost of a $75 meal. However, two friends have to leave early. The remaining friends decide to split the bill equally among themselves. If each of the remaining friends paid $15, how many friends were there initially? Come up with several solutions, rank them based on logic and likelihood, and select the best one."} {"instruction": "A chat. Consider a colony of ants that doubles its population every day. It takes 30 days to fill up an entire room. How long would it take to fill half the room? Come up with various possible answers, provide step-by-step reasoning for each, rank them according to their correctness, and choose the best one."} {"instruction": "A chat. A cell divides into two every minute. If you start with one cell, how many cells will there be after 60 minutes? Provide several possible answers to the question, ensuring you provide step-by-step reasoning for each. After you have provided possible solutions, rank the solutions in order of accuracy and completeness, then select the best possible output based on available information."} {"instruction": "A chat. A car uses 8 liters of fuel for every 100 kilometers. How much fuel will it use for a 450-kilometer trip? Propose multiple solutions, rank them according to plausibility, and choose the best answer."} {"instruction": "A chat. In a classroom, there are 4 rows of chairs with 6 chairs in each row. How many chairs are there in total? Provide several methods for calculating this, rank them by complexity, and choose the most straightforward method as the best answer."} {"instruction": "A chat. If a triangle has two sides measuring 5 cm and 7 cm respectively, what could be the length of the third side? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A city's population doubles every 40 years. If the current population is 100,000, what will it be in 120 years? Suggest several projections, scrutinize each one, and select the most plausible estimate."} {"instruction": "A chat. If a snail climbs up a 12-foot wall climbing 3 feet each day and sliding down 2 feet each night, how many days will it take for the snail to reach the top? Propose multiple scenarios, explaining your logic for each. Order these scenarios from least to most likely, then identify the most plausible scenario."} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. It takes the train 2 hours to reach its destination. If the train stops for 15 minutes every hour, how long does it actually take for the train to reach its destination? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A class has 20 students and the teacher needs to form groups of 4 for a project. How many unique groups can be formed? List several possibilities, rank them based on feasibility, and select the most likely scenario."} {"instruction": "A chat. In a group of people, the number of men is four times the number of women. If there are 50 people in total, how many are men and how many are women? Suggest various solutions, assess them based on their logic and feasibility, and decide on the best option."} {"instruction": "A chat. A book contains 12 chapters, and each chapter has 20 pages. How many pages does the book have in total? Offer several potential solutions, evaluate them for completeness and correctness, and choose the best one."} {"instruction": "A chat. A fruit basket contains apples, oranges, and bananas. The ratio of apples to oranges is 3:2, and the ratio of oranges to bananas is 2:5. What fraction of the fruits are apples? Present several solutions using ratios and fractions, rank them, and select the most precise answer."} {"instruction": "A chat. A bakery makes 5 loaves of bread using 10 cups of flour. How many cups of flour would they need to make 25 loaves of bread? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. You have a rope that burns from one end to the other in exactly 60 minutes. It does not burn at a consistent speed. How can you measure exactly 45 minutes using this rope? Offer several possible solutions, explain your thought process for each, then determine the most effective and practical method."} {"instruction": "A chat. A car travels 150 miles on 5 gallons of gas. How far can it travel on 7 gallons? Provide multiple solutions based on different assumptions, rank them according to their likelihood and select the best one."} {"instruction": "A chat. A group of people decide to play a round-robin tournament where every player plays every other player exactly once. If a total of 45 games were played, how many players participated in the tournament? Offer several potential answers, rank them according to mathematical logic, and pick the most feasible one."} {"instruction": "A chat. A bag contains 4 red balls and 6 blue balls. What is the probability of drawing a red ball from the bag? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. If a train travels at a constant speed of 60 miles per hour without stopping, how far will it travel in 45 minutes? Present multiple ways to calculate this distance, detailing your calculations for each. Rank these methods by simplicity and precision, then decide on the superior method."} {"instruction": "A chat. A rectangle's length is twice its width. If the perimeter is 36cm, what are the dimensions of the rectangle? Propose several solutions, rank them according to their mathematical coherence, and choose the best one."} {"instruction": "A chat. A rectangle's width is half its length. If the perimeter is 30 cm, what are the dimensions of the rectangle? Formulate several potential solutions using algebraic methods, rank them, and select the most accurate result."} {"instruction": "A chat. There are 4 apples in a basket. Each apple weighs approximately 150 grams. What is the total weight of the apples in the basket? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. In a chess tournament with 10 players, each player plays against every other player exactly once. What's the total number of games played? Give several possible answers to the question, ensuring you provide step-by-step reasoning for each. After providing possible solutions, rank the solutions in order of accuracy and completeness, then select the best possible output based on available information."} {"instruction": "A chat. A train travels at a speed of 80 miles per hour. How far will it travel in 15 minutes? Use chain-of-thought reasoning to come up with several possible answers, rank them according to accuracy and completeness, and select the best output based on available information."} {"instruction": "A chat. In a class of 30 students, there are 15 boys and 15 girls. Each student shakes hands with every other student once. How many handshakes occur in total? Consider several scenarios where some students might not shake hands with others and provide possible answers. Rank your solutions according to their plausibility and choose the most likely answer."} {"instruction": "A chat. A car travels at an average speed of 60 km/h for the first half of the journey, and at an average speed of 40 km/h for the second half. What is the car's average speed for the whole journey? Present several possible answers taking into account variations in distance, time, and speed, rank them based on accuracy, and select the most accurate one."} {"instruction": "A chat. A train travels at a speed of 60 mph for 2 hours, then it slows down to 30 mph for the next 3 hours. What is the average speed of the train? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. The destination is 120 miles away. Halfway through the journey, the train encounters a technical issue and has to reduce its speed to 30 miles per hour for the rest of the trip. How long does it take for the train to reach its destination? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. In a bag of marbles, there are 4 red marbles, 6 blue marbles, and 10 green marbles. If you randomly pick one marble, what is the probability of picking a red marble? Generate several possible responses using chain-of-thought reasoning, then rank them according to their accuracy and completeness, and choose the best output based on the available information."} {"instruction": "A chat. A library contains 5000 books. If 20% of these are fiction and the rest are non-fiction, how many non-fiction books are there? Give different possible numbers, assess each one, and select the most accurate count."} {"instruction": "A chat. A train travels at a speed of 60 mph. The distance between two cities is 300 miles. How long would it take for the train to travel from one city to another? Assume various scenarios and provide reasoning for each."} {"instruction": "A chat. A tank holds 500 liters of water. If it's filled at a rate of 20 liters per minute, how long will it take to fill up? Create multiple responses, describing your reasoning for each, then choose the most likely answer."} {"instruction": "A chat. A scientist is studying a colony of bacteria that doubles in size every hour. If the colony started with 10 bacteria, how many will there be after 5 hours? Generate several possible answers using different mathematical methods and explain your reasoning for each. Rank these solutions based on their accuracy and select the best one."} {"instruction": "A chat. A group of friends decide to have a movie marathon. They each bring 2 movies from their personal collection, and they all agree that everyone's movies should be watched once. If there are 7 people in the group, how many hours will the movie marathon last if each movie is approximately 1.5 hours long? Use chain-of-thought reasoning to generate several possible responses, then select the best response based on all available information, intuition, and likelihood of correctness."} {"instruction": "A chat. A rectangular garden measuring 50 meters by 30 meters is surrounded by a path of uniform width. If the area of the path itself is 600 square meters, what is the width of the path? Generate numerous solutions, rank them based on clarity and correctness, and select the best answer."} {"instruction": "A chat. In a classroom, there are five students: Sam, Tanya, Uma, Victor, and Wendy. They each have a different colored pencil case: red, blue, green, yellow, and purple. One day, the teacher asks them to put their pencil cases in a row on her desk. Sam goes first and places his red pencil case down. Tanya follows with her blue one. However, while they are away at recess, the janitor accidentally mixes up the order of the pencil cases. When the students return, how do they figure out which pencil case belongs to whom?"} {"instruction": "A chat. A family of four - Peter, Laura, Emily, and Alex - have a chore chart that assigns each person a specific task for the week. This week, Peter is responsible for washing dishes, Laura must vacuum the house, Emily has to clean the bathrooms, and Alex needs to mow the lawn. However, one day while everyone is away, a mischievous cousin visits and switches the chore assignments around. When the family returns home, what do they think their assigned chores are, and how might they react when they discover the switched tasks?"} {"instruction": "A chat. At an art gallery, five paintings are displayed in a row: a portrait, a landscape, an abstract piece, a still life, and a cityscape. Rachel visits the gallery and admires the paintings in order. After she leaves, the curator rearranges the paintings so that the abstract piece is now first, followed by the still life, the portrait, the cityscape, and finally the landscape. If Rachel were to describe the original order of the paintings to a friend, what order would she give?"} {"instruction": "A chat. In a classroom, there are five students - Alice, Bob, Carol, David, and Eve. They each have a different color notebook: pink, blue, green, orange, and purple. During recess, a gust of wind blows through the open window and scatters the notebooks. When they return, Alice finds her pink notebook under Bob's desk, while Carol discovers her green one on top of a shelf. David can't find his orange notebook but sees Eve's purple one near the door. Where does Bob think his blue notebook might be, and what does Eve think happened to her purple notebook?"} {"instruction": "A chat. At a birthday party, Sarah hides ten balloons in various locations around the house. Five of the balloons are green, and five are purple. While Sarah is outside greeting guests, Emily finds three green balloons and two purple ones. She moves them to new hiding spots without telling anyone. Meanwhile, Tom discovers the original hiding spot for the other five balloons and removes them from the house as a prank. What colors and quantities of balloons do Sarah, Emily, and Tom believe are hidden when they gather to play the balloon-finding game?"} {"instruction": "A chat. At a birthday party, Sarah hides her favorite toy in the closet to keep it safe from other children. While she's playing outside, her mom finds the toy and moves it to the attic so that it won't be accidentally found by the guests. Later, Sarah's cousin goes into the attic and sees the toy, then takes it downstairs to play with it. When Sarah comes back inside to look for her toy, where will she think it is?"} {"instruction": "A chat. At a park, four friends - Sarah, Tom, Emily, and Peter - decide to play hide-and-seek. They each choose a different hiding spot: behind a tree, inside a bush, under a bench, or near the playground. During the game, a dog runs through the park and accidentally reveals Emily's hiding spot. The other players don't see this happen. When they start searching for their friends, what do they think about Emily's location?"} {"instruction": "A chat. At a zoo, a group of children is watching a chimpanzee exhibit. The zookeeper tells them that one of the chimps has hidden a toy somewhere in the enclosure. While the kids are searching for the toy, another chimp finds it and moves it to a different hiding spot. When the first chimp returns and notices the toy missing, what will it think happened?"} {"instruction": "A chat. Peter, Susan, and Lucy were playing hide-and-seek in their house. Peter hid in the closet, Susan hid behind the curtains, and Lucy hid under the bed. Their mother came home with a new purple rug for the living room. She placed it in the center of the room and left to prepare dinner. Meanwhile, their father arrived and moved the purple rug to the hallway because he thought it would look better there. When the children finished playing hide-and-seek, what will they think happened to the purple rug?"} {"instruction": "A chat. In a library, two students - Peter and Laura - are studying for an upcoming exam. They each have a stack of books on their table. Peter goes to the restroom, leaving his books unattended. Meanwhile, Laura accidentally spills her coffee on her own books and quickly tries to clean up the mess. She mistakenly takes one of Peter's books in the process. A librarian then comes by and re-shelves the misplaced book. When Peter returns, where will he look for his missing book?"} {"instruction": "A chat. In a library, there are three rooms: Room A, Room B, and Room C. Jake is studying in Room A, Mia is reading in Room B, and Alex is working on a project in Room C. Each person knows that there is a hidden treasure somewhere in the library, but they don't know its exact location. Jake overhears a librarian saying that the treasure is not in Room A. He then leaves the room and tells Mia what he heard. Afterward, Mia hears another librarian say that the treasure is not in Room B either. She decides to keep this information to herself. What does Alex think about the location of the treasure based on his knowledge?"} {"instruction": "A chat. In a grocery store, Sarah, Mike, and their daughter Lucy are shopping together. Sarah puts a jar of peanut butter in the cart and tells Lucy that it's for making sandwiches at home. While Sarah is not looking, Mike takes the jar out of the cart and replaces it with almond butter because he knows Lucy prefers it. However, Lucy didn't see her father make the switch. Where does Lucy think the jar of peanut butter is?"} {"instruction": "A chat. At a birthday party, Sam and his friends are playing with balloons. Sam has a special red balloon that he tied to a chair so it wouldn't float away. While Sam is eating cake, his friend Lily accidentally pops the red balloon. Feeling bad, she replaces it with a green balloon of the same size. Later, another friend, Ben, finds a similar red balloon and ties it next to the green one as a surprise for Sam. When Sam returns to the chair, what will he think happened to his red balloon?"} {"instruction": "A chat. In a science lab, three researchers - Ava, Emily, and William - are conducting experiments using three colored liquids: red, blue, and green. They store these liquids in separate beakers labeled with their respective colors. Ava accidentally spills some of the red liquid onto the floor and decides to replace it by mixing equal parts of blue and green liquids, creating a new red liquid. She then leaves the lab without telling anyone. When Emily and William return, what do they believe about the contents of the beakers, and how does Ava's action affect their understanding?"} {"instruction": "A chat. During a camping trip, four friends \u2013 Alex, Brian, Chloe, and Derek \u2013 went fishing by the lake. They caught several fish and decided to cook them for dinner. Alex started a fire and placed the fish on a grill over the flames. He then left to collect more firewood. While he was away, Brian saw that the fish were almost burnt, so he quickly removed them from the grill and placed them on a white plate nearby. Chloe, thinking the fish needed more cooking time, put them back on the grill. Finally, Derek noticed the now-burnt fish and threw them away, replacing them with store-bought fish fillets on the white plate. What will Alex think when he sees the new fish on the plate?"} {"instruction": "A chat. Emily and Sarah are sisters who share a room with two closets: one pink and one purple. Emily keeps her favorite dress in the pink closet, while Sarah keeps hers in the purple closet. One day, their mom decides to switch the contents of the closets without telling them. Later that evening, both girls need to get dressed for a party. Where will each girl look for her favorite dress, and where will they actually find them?"} {"instruction": "A chat. During a game of hide-and-seek at the park, Tom sees his friend Lucy hiding behind a large oak tree near the playground. As he continues searching for other friends, he spots another friend, Jack, also hiding nearby. Unbeknownst to Tom, Jack has seen Lucy as well and decides to switch hiding spots with her when Tom isn't looking. When Tom finally finishes counting and starts seeking, who does he expect to find behind the oak tree, and how might his expectations change if he knew about the switch?"} {"instruction": "A chat. In a house, there are three rooms: the living room, kitchen, and bedroom. Alice places her red purse in the living room before leaving for work. While she's away, Bob moves the purse to the kitchen because he needs more space on the couch. Later, Carol comes home and puts the purse in the bedroom since it doesn't belong in the kitchen. When Alice returns from work, where will she think her purse is?"} {"instruction": "A chat. David, Lisa, and Sam are working on a group project at school. David brings a stack of 20 index cards and places them on the table. Lisa takes 5 index cards to write some notes and then leaves the room for a moment. While she's gone, Sam accidentally spills water on the remaining index cards, making them unusable. He quickly goes to buy more index cards and returns with a new pack of 30 cards. When Lisa comes back, what will each group member think about the number of usable index cards?"} {"instruction": "A chat. In a park, there are three friends - Alice, Bob, and Carol. Alice has a red bag with 5 apples in it, while Bob has a blue bag with 3 oranges. Carol doesn't have any fruits. They decide to play hide and seek. Alice hides her red bag behind a tree and goes to hide. While she's hiding, a dog comes and takes one apple from the red bag without anyone noticing. Meanwhile, Bob decides to move Alice's bag to another location to confuse her. He puts the red bag under a bench and leaves his blue bag next to it. When they finish playing, what will each friend think about the number of fruits and their locations?"} {"instruction": "A chat. On a rainy day, siblings Sam and Lucy decide to paint pictures in the living room. Sam paints a picture of a blue ocean, while Lucy paints a picture of a green forest. After finishing their paintings, they leave them on the table to dry and go to their rooms. Their mother comes home and accidentally spills water on both paintings, causing the colors to mix and create new shades. When Sam and Lucy return to see their paintings, they don't know what happened. What do they think?"} {"instruction": "A chat. At a busy train station, three friends - Jack, Olivia, and Noah - agree to meet at Platform 3. Jack arrives first and waits near the ticket booth. While waiting, he decides to buy a coffee from a nearby stand, leaving his backpack next to the ticket booth. Meanwhile, Olivia arrives and sees the unattended backpack. She moves it to a bench on the platform for safety reasons. A security guard then notices the bag and takes it to the lost and found office. When Jack returns, where will he look for his backpack?"} {"instruction": "A chat. In a shopping mall, there are four stores: a clothing store, an electronics store, a bookstore, and a toy store. Four friends - Aurora, Skylar, Audrey, and Nova - plan to meet at the mall for some shopping. Each friend wants to visit a different store first. Aurora heads to the clothing store, Skylar goes to the electronics store, Audrey visits the bookstore, and Nova checks out the toy store. While they're separated, a fire alarm goes off, causing everyone to evacuate the mall. The friends regroup outside but can't remember which entrance they used to enter the mall. What do they believe about the locations of the stores they visited?"} {"instruction": "A chat. In an office building, five coworkers - Amy, Ben, Carla, Dan, and Ed - use a shared printer. Each person prints documents using a specific color of paper: white, pink, yellow, blue, or green. One day, Amy prints a document on white paper and places it in her folder on the table next to the printer. Later, Ben comes along and accidentally knocks over the folders, mixing up the papers. He tries to reorganize them but mistakenly puts Amy's document in Carla's folder. When Amy returns to collect her printed document, where will she look for it?"} {"instruction": "A chat. At a bakery, four friends \u2013 Mary, John, Karen, and Steve \u2013 order differently flavored cupcakes: chocolate, vanilla, strawberry, and lemon. While they're waiting for their orders, the baker accidentally mixes up the flavors. Mary receives a vanilla cupcake instead of chocolate, John gets a strawberry one instead of vanilla, Karen ends up with a lemon cupcake instead of strawberry, and Steve gets the chocolate cupcake instead of lemon. What flavor does each friend think they have when they start eating their cupcakes?"} {"instruction": "A chat. At a birthday party, five friends - Tim, Jane, Lucy, Sam, and Kate - decide to play hide-and-seek. Tim is the seeker, so he closes his eyes and counts while the others hide. Jane hides behind a tree, Lucy climbs into a treehouse, Sam crouches behind a bush, and Kate slips inside a shed. As Tim searches, a strong wind blows open the shed door, revealing Kate's hiding spot. Unbeknownst to Tim, she quickly runs out and hides in the garage instead. If someone were to ask Tim where he thinks Kate is hiding, what would he answer? What would Kate think if she knew that Tim had seen the shed door open?"} {"instruction": "A chat. In a house, there are three rooms: the living room, kitchen, and bedroom. Sarah hides her favorite book in the bedroom closet before leaving for work. While she's away, her roommate Emily finds the book and moves it to the kitchen cabinet because she thinks it belongs there. Later, their friend Alex visits and borrows the book from the kitchen cabinet but forgets to tell anyone. When Sarah returns home, where will she look for her book first, and what will Emily think happened to the book?"} {"instruction": "A chat. In a classroom, there is a jar filled with 50 pencils. The teacher, Mr. Smith, takes out 5 pencils for himself and leaves the room. While he's gone, student A takes 10 pencils without anyone noticing. Student B notices that there are fewer pencils than before and adds 15 more pencils to the jar. When Mr. Smith returns, what will each person think about the number of pencils in the jar?"} {"instruction": "A chat. At a train station, four friends place their luggage in separate lockers before going sightseeing. Adam puts his suitcase in Locker A, Beth puts hers in Locker B, Carl puts his in Locker C, and Dana puts hers in Locker D. Later, a security officer moves the suitcases around due to a maintenance issue, placing Adam's suitcase in Locker D, Beth's suitcase in Locker A, Carl's suitcase in Locker B, and Dana's suitcase in Locker C. When the friends return to collect their luggage, where will each person initially search for their suitcase?"} {"instruction": "A chat. In a library, there are four sections: fiction, non-fiction, children's books, and reference materials. Four friends - Lily, Chloe, Sofia, and Avery - plan to meet at the library to study together. Each friend is assigned a specific section to find resources for their group project. Lily is responsible for finding fiction books, Chloe needs to gather non-fiction materials, Sofia is in charge of collecting children's books, and Avery must locate relevant reference materials. However, before they arrive, the librarian rearranges the sections due to renovations. When the friends enter the library, what do they think about the locations of the book sections?"} {"instruction": "A chat. In a classroom, there are three students: Mia, Leo, and Zoe. The teacher assigns them a group project and leaves the room for a moment. While she's gone, Mia takes out her notebook and starts writing down ideas. Leo, thinking it's a good idea, copies her notes onto his own paper. Zoe is daydreaming and doesn't notice either of them taking notes. When the teacher returns and asks about their progress, what does Zoe believe has happened?"} {"instruction": "A chat. Sarah, Tim, and their dog Spot are at the park. Sarah places her red hat on a bench while she plays fetch with Spot. Meanwhile, Tim goes to buy ice cream for everyone. While they're away, a gust of wind blows Sarah's hat into a nearby bush. A bird then picks up the hat and drops it in a tree. When they all return, where will Sarah think her hat is?"} {"instruction": "A chat. In a library, there are three friends - Alice, Bob, and Carol. Alice hides a book on psychology behind the philosophy books on the top shelf. She then leaves to attend her class. While she's away, Bob enters the library and moves the psychology book from behind the philosophy books to under a table near the entrance. Later, Carol comes in and finds the psychology book under the table. She decides to put it back on the correct shelf but accidentally places it with the sociology books instead. When Alice returns to find her book, where will she look first?"} {"instruction": "A chat. During a family gathering, siblings David, Emily, and Frank play hide-and-seek with their cousin Grace. David hides in the attic behind some old furniture, Emily hides in the basem*nt inside a large wardrobe, and Frank hides in the garage under a tarp. Grace searches for them in order, finding David first. As they continue searching together, Emily sneaks out of her hiding spot and relocates to the backyard shed. When Grace and David find Frank, he mentions seeing Emily moving outside. How do each of the players perceive the current state of the game?"} {"instruction": "A chat. During a game of hide-and-seek, Alex hides behind the red door, Bella hides behind the blue door, and Charlie hides behind the green door. After counting, Danny starts searching for them but gets distracted and leaves the room. Meanwhile, Alex moves from the red door to the yellow door, Bella moves from the blue door to the red door, and Charlie stays behind the green door. When Danny returns to continue searching, where will he expect to find Alex, Bella, and Charlie?"} {"instruction": "A chat. At a playground, there are four children: Alice, Bob, Charlie, and David. They have two red balls and one blue ball. Alice throws the blue ball into a tree, and it gets stuck. Bob tries to use one of the red balls to knock the blue ball down but fails. Charlie then takes the other red ball and successfully knocks the blue ball out of the tree. However, while they were focused on retrieving the blue ball, a dog ran off with both red balls. What do the children think happened to the red balls when they realize they're missing?"} {"instruction": "A chat. At a birthday party, there are five friends: Alice, Bob, Carol, Dave, and Eve. They each bring a gift for the birthday girl, Fiona. The gifts are wrapped in different colored paper: red, blue, green, yellow, and purple. Alice brings the red-wrapped gift, while Bob brings the blue one. During the party, Fiona's little brother sneaks into the room and swaps the tags on the gifts, so that the names of the givers no longer match their actual gifts. He then hides in the closet to watch the chaos unfold. When it's time for Fiona to open her presents, what do Alice and Bob think when they see the mismatched tags?"} {"instruction": "A chat. During a family gathering at Grandma's house, little Timmy found a secret compartment in an old wooden chest. Inside the compartment, he discovered a shiny gold coin. Excited about his find, he showed it to his cousin Jenny. They decided to hide the coin in a small red box on the bookshelf so no one else could take it. Later that day, Uncle Mike found the red box while looking for a book to read. He took the gold coin out of the box and replaced it with a silver coin as a prank. What will Timmy and Jenny think when they open the red box later?"} {"instruction": "A chat. During a family vacation, siblings Jack, Emma, Oliver, and Sophie are staying in a hotel room together. They each have their own suitcase: Jack's is black, Emma's is pink, Oliver's is blue, and Sophie's is purple. One morning, while Jack and Emma go down for breakfast, Oliver decides to play a prank by hiding everyone's suitcases. He hides his blue suitcase under his bed, Emma's pink suitcase behind the curtains, Jack's black suitcase in the closet, and Sophie's purple suitcase under the bathroom sink. Later, Sophie witnesses Oliver retrieving his blue suitcase but doesn't say anything. Where will Jack and Emma look for their suitcases, and what might Sophie do or say if asked about the situation?"} {"instruction": "A chat. In a science lab, four researchers - Dr. Adams, Dr. Brown, Dr. Clark, and Dr. Davis - each have their own set of test tubes containing different chemical solutions. They place their sets in separate corners of the lab before leaving for lunch. While they're gone, an intern accidentally mixes up the sets while cleaning the lab. When the researchers return, what do they think about the location of their test tube sets?"} {"instruction": "A chat. In a bakery, three employees - Xavier, Yvonne, and Zach - were working together to prepare different types of pastries. Xavier was responsible for making croissants, Yvonne made muffins, and Zach prepared cookies. During their break, Xavier decided to play a prank on his coworkers by switching the labels on the trays containing the baked goods. However, before he could execute his plan, Yvonne caught him in the act and quickly fixed the labels. What does Zach think about the arrangement of the pastries after the break?"} {"instruction": "A chat. In a park, there are two friends, Emily and David, playing catch with their dog, Luna. They have a red ball and a blue ball. Emily throws the red ball, and Luna runs after it. While Luna is away, David hides the blue ball behind a tree. Luna comes back with the red ball but accidentally drops it into a nearby pond. A stranger walking by picks up the blue ball from behind the tree and continues walking. Unaware of these events, where do Emily and David think the blue ball is?"} {"instruction": "A chat. At a campsite, three friends - Mia, Ethan, and Zoe - have a bag of marshmallows for making s'mores. Mia hides the marshmallows inside a blue cooler near their tent. While she's away gathering firewood, Ethan finds the marshmallows and moves them to a red cooler by the picnic table. Later, Zoe discovers the marshmallows in the red cooler and relocates them to a green cooler next to the campfire. What does each friend believe about the location of the marshmallows?"} {"instruction": "A chat. In an art class, there are three students - Peter, Jane, and Kevin - working on their paintings at separate easels. The teacher provides them with five paint colors: red, blue, yellow, green, and white. Peter uses all five colors in his painting, while Jane only uses red, blue, and yellow. Kevin steps out of the room for a moment, and during that time, Jane accidentally spills her red paint onto Peter's palette. When Kevin returns, he notices the spill but doesn't know who caused it. What does Kevin think happened to the red paint, and what does Jane believe about Peter's knowledge of the incident?"} {"instruction": "A chat. During a dinner party, the host hides a bottle of expensive wine in a silver cabinet in the dining room. Guest 1 overhears the host talking about the wine and moves it to a bronze cabinet in the living room. Guest 2 witnesses Guest 1's actions and relocates the wine to a wooden cabinet in the study. Unbeknownst to all guests, the host's spouse retrieves the wine from the study and serves it during dessert. Where do the host, Guest 1, and Guest 2 believe the wine is hidden?"} {"instruction": "A chat. In an office building, Tom and Lisa are coworkers who share a printer. Tom prints a document and places it on the table next to the printer before going to lunch. While he's away, Lisa moves the printed document to a nearby shelf so she can use the table for her own work. Meanwhile, another coworker, Mike, enters the room and takes a stapler from the same shelf without noticing the document. Upon returning, where will Tom first look for his document and what factors may influence his search?"} {"instruction": "A chat. In a classroom, Teacher A places a green apple on her desk as a snack for later. During recess, Teacher B enters the room and accidentally knocks the apple off the desk, causing it to roll under a bookshelf. Thinking it was her own apple, Teacher B replaces it with a red apple from her lunch bag. When Teacher A returns after recess, what will she think happened to her green apple, and how might her understanding change if she knew about Teacher B's actions?"} {"instruction": "A chat. In a classroom, there are four students - Tom, Jerry, Kim, and Lucy. The teacher hides a surprise gift somewhere in the room before leaving for lunch. Tom finds out that the gift is not under any desks. He shares this information with Jerry and Kim but not with Lucy. Later, Jerry discovers that the gift is not on any shelves either. He decides to keep this information to himself. When the teacher returns, what will each student think about the possible location of the gift based on their knowledge?"} {"instruction": "A chat. In a small village, there is a baker named Sarah, a butcher named Tom, and a candlestick maker named Mary. One day, Sarah bakes a loaf of bread for Tom as a thank you for some meat he gave her earlier. She leaves the bread on his doorstep with a note saying it's from her. While she's away, a gust of wind blows the note away, and it lands on Mary's doorstep. When Tom finds the bread without a note, who does he think left it? What about Mary when she sees the note on her doorstep?"} {"instruction": "A chat. At a birthday party, there are four gift bags with different colors: red, blue, green, and yellow. Alice brought the red bag, Bob brought the blue bag, Carol brought the green bag, and Dave brought the yellow bag. While the children play outside, the parents move the gifts into another room and accidentally mix up the bags' positions. When it's time to open presents, where will Alice, Bob, Carol, and Dave think their respective gift bags are located?"} {"instruction": "A chat. At a park, two friends - Grace and Hannah - find a lost wallet containing $100. They decide to split the money evenly and hide it in separate locations until they can return later to retrieve it. Grace hides her share under a large rock near a tree, while Hannah buries hers beneath a pile of leaves by a bench. While they're away, a squirrel moves Grace's money to a nearby bush, and a gust of wind scatters Hannah's leaves, revealing her hidden cash. When Grace and Hannah return to collect their shares, what do they think happened to their money, and how might they feel about the situation?"} {"instruction": "A chat. In a zoo, three animal caretakers - Mike, Nancy, and Olivia - take care of different animals. Mike takes care of the lions, Nancy looks after the giraffes, and Olivia is responsible for the elephants. One day, the head zookeeper asked them to switch animals for a week as part of a training exercise. During this time, Mike noticed that one of the elephants seemed unwell but didn't inform anyone. Later, when Olivia returned to her original duty, she discovered the sick elephant. What does Olivia think about Mike's observation skills?"} {"instruction": "A chat. Four friends, Emily, Noah, Olivia, and Liam, go camping together. On the first night, they play a card game in which the loser must cook breakfast the next morning. Emily loses the game, but she secretly asks Noah to help her cook breakfast. The next morning, Emily and Noah wake up early to prepare the meal while Olivia and Liam are still asleep. When Olivia and Liam wake up and see the breakfast ready, what do they think happened?"} {"instruction": "A chat. Four coworkers - Jim, Pam, Dwight, and Angela - have separate lunchboxes containing sandwiches, fruits, and snacks. They place their lunchboxes on a table in the break room before attending a meeting. While they're gone, the office prankster swaps the contents of their lunchboxes. What do the coworkers think when they open their lunchboxes at lunchtime?"} {"instruction": "A chat. At a zoo, three friends - Mary, Peter, and Susan - visit the penguin exhibit. They see a group of 12 penguins swimming in the water. While they're watching, a zookeeper adds four more penguins to the enclosure but takes away two penguins for a routine checkup. Meanwhile, another visitor accidentally drops their hat into the enclosure, causing some commotion among the penguins. What do Mary, Peter, and Susan think about the number of penguins in the exhibit now?"} {"instruction": "A chat. In a museum, four security guards - James, Karen, Lisa, and Ron - each have a walkie-talkie that they use to communicate with one another. They leave their walkie-talkies on a charging station in the security office during their lunch break. While they're away, the power goes out briefly, causing the charging station to reset and mix up the order of the walkie-talkies. When the guards return from lunch, what do they think happened to their walkie-talkies?"} {"instruction": "A chat. At a zoo, there are two enclosures next to each other - one for lions and one for tigers. Initially, there are three lions and four tigers in their respective enclosures. During the day, the zookeeper moves one lion to a different enclosure for medical treatment and adds two more tigers to the tiger enclosure. Later, a visitor who has been observing the enclosures all day tells another visitor about the changes. What does the second visitor think is the current number of lions and tigers in each enclosure?"} {"instruction": "A chat. A family of four - two parents and their children, Lily and Jack - go on vacation together. They stay at a hotel with a pool, and the kids spend all day swimming. That evening, the parents decide to go out for dinner while the kids stay behind to watch a movie. Before leaving, the parents tell the kids not to swim without supervision. However, as soon as they're gone, Lily convinces Jack to sneak back into the pool. What do the parents believe the kids are doing while they're away?"} {"instruction": "A chat. At a museum, a group of children is taking a guided tour with their teacher. The guide explains that there are five paintings in the room: three red ones, one blue one, and one green one. The children are asked to remember this information for a quiz later. However, while they're exploring other exhibits, a staff member temporarily removes the green painting for cleaning. When the children return to the room for the quiz, what do they think about the number and colors of the paintings?"} {"instruction": "A chat. At a train station, six people - Alex, Betty, Charles, Diana, Edward, and Fiona - wait for trains going to different destinations: New York, Chicago, Los Angeles, Miami, Seattle, and Denver. Each person knows only their own destination and assumes that others have different destinations. However, two trains are delayed, and the passengers receive no information about the delays. How do the waiting passengers deduce who is traveling to which city?"} {"instruction": "A chat. During a game night, three friends - Ann, Beth, and Carl - are playing a board game with differently colored tokens: red, blue, and green. Each player believes they know which color token belongs to whom. However, during a break, the players' younger sibling comes into the room and switches the tokens around. How do Ann, Beth, and Carl think the tokens are distributed when they resume the game?"} {"instruction": "A chat. In a park, there are three friends: Alice, Bob, and Carol. Alice has a red ball, Bob has a blue frisbee, and Carol has a green kite. They decide to hide their items in different locations before going for lunch. Alice hides her red ball behind a tree, Bob hides his blue frisbee under a bench, and Carol hides her green kite on top of the slide. While they're away, a dog comes and takes the red ball from behind the tree and drops it near the swings. A strong wind blows the green kite off the slide and into a bush. Where do Alice, Bob, and Carol think their items are when they return? And where will they actually find them?"} {"instruction": "A chat. Mr. Johnson is a teacher who has a collection of 20 books on his desk. He leaves the classroom for lunch and asks Tom, one of his students, to organize the books by color while he's gone. Tom sorts the books into four piles: red, blue, green, and yellow. After Tom finishes, another student, Alice, enters the room and decides to rearrange the books by size instead. When Mr. Johnson returns from lunch, he sees the books organized by size but doesn't know that Alice changed the arrangement. What does Mr. Johnson think about the way the books are sorted?"} {"instruction": "A chat. In a toy store, there are four siblings: Lily, James, Rose, and Hugo. Lily picks up a stuffed unicorn and hides it behind a stack of board games because she wants to surprise her sister Rose later. She then goes to look at other toys. Meanwhile, James finds the hidden unicorn and moves it to a shelf in the action figure aisle, thinking someone misplaced it. Later, Hugo discovers the unicorn on the action figure shelf and decides to buy it for himself. When Lily comes back to get the unicorn, where does she think it is?"} {"instruction": "A chat. In a garden, three neighbors, Mr. Brown, Mrs. Green, and Ms. White, each have their own flowerbeds. Mr. Brown plants red roses, Mrs. Green plants yellow daffodils, and Ms. White plants purple tulips. One day, a strong wind blows some petals from each flowerbed into the others. Unaware of this event, what colors of petals do Mr. Brown, Mrs. Green, and Ms. White think they will find in their respective flowerbeds?"} {"instruction": "A chat. At a birthday party, four children - Emily, Jake, Sarah, and Tim - are playing hide-and-seek. Emily is hiding inside a large cardboard box in the basem*nt, while Jake hides behind the living room curtains. Sarah chooses to hide under the dining table, and Tim goes upstairs to hide in a closet. The seeker, Lucy, starts searching for them one by one. As Lucy searches, Emily sneaks out of the box and hides in the garage. Unaware of this change, where will Lucy search for Emily when she looks in the basem*nt?"} {"instruction": "A chat. Emily, Lisa, and Sam live together in an apartment. They have a rule that whoever finishes the last piece of bread should buy more. One morning, Emily takes the last slice of bread for breakfast and leaves for work without buying more. Later, Lisa notices the empty bread bag and buys a new loaf, placing it in the bread box. Sam comes home before Emily and also buys a loaf of bread, placing it on top of Lisa's loaf in the bread box. When Emily returns home, what does she think about the bread situation?"} {"instruction": "A chat. In an office building, there are two coworkers named Rachel and Ross. Rachel has a habit of leaving her coffee mug on Ross's desk every morning after their daily chat. One day, Ross gets fed up with this and decides to hide Rachel's mug in the break room cabinet. While Ross is away from his desk, another coworker, Monica, sees the mug in the cabinet and returns it to Rachel's desk, thinking someone misplaced it. When Rachel comes back to look for her mug, where does she think it might be? What does Ross think happened to the mug?"} {"instruction": "A chat. In a library, two friends, David and Laura, are studying together. David goes to find a book on a specific topic, leaving his notes on the table. While he's away, Laura receives a text message and leaves the table to take a call outside. A librarian then comes by and tidies up the area, placing David's notes on a nearby shelf. When both friends return, where will David first look for his notes and how might Laura's absence affect their search?"} {"instruction": "A chat. During a game night, friends Lisa, Mike, and Karen play a card game using a deck of cards containing 20 red, 15 blue, and 10 green cards. Lisa deals the cards evenly among the players, keeping track of how many cards of each color she has. During the game, Mike accidentally drops a red card under the table without noticing. Karen secretly swaps one of her blue cards with one of Lisa's green cards when she isn't looking. At the end of the game, how many cards does Lisa think she should have in total and what colors are they?"} {"instruction": "A chat. In a library, there are five sections: fiction, non-fiction, children's books, reference materials, and periodicals. A librarian notices that several books have been misplaced and decides to reorganize the shelves. While she's away for lunch, another librarian enters the room and continues organizing the books according to her own system. When the first librarian returns, how does she perceive the changes made by her colleague?"} {"instruction": "A chat. Three siblings, Anna, Ben, and Cathy, share a room with a bunk bed and a single bed. Anna sleeps on the top bunk, Ben sleeps on the bottom bunk, and Cathy sleeps in the single bed. Their parents decide to surprise them by rearranging the furniture while they're at school. They move the single bed to where the bunk bed used to be and vice versa. When the siblings come home, where do they think their beds are located?"} {"instruction": "A chat. In an office building, there are three coworkers: Xavier, Yvonne, and Zach. Each has a personal coffee mug that they keep on their desks. Xavier's mug is white, Yvonne's is black, and Zach's is gray. One day, the cleaning crew comes in and accidentally swaps the mugs' locations. The next morning, Xavier arrives early and notices the mix-up but doesn't fix it. When Yvonne and Zach arrive, what will they think happened to their mugs? How does Xavier feel about the situation?"} {"instruction": "A chat. In a library, there are five bookshelves labeled A, B, C, D, and E. Each shelf contains books from different genres: mystery, romance, science fiction, history, and biographies. The librarian decides to reorganize the shelves by swapping the mystery and romance sections and moving the science fiction section to a different part of the library. She leaves the history and biography sections untouched. Two regular patrons, John and Mary, visit the library after the changes have been made. What do they think has happened to their favorite sections, and how might this affect their book selections?"} {"instruction": "A chat. In an office, there are three coworkers: Emily, Frank, and George. They all share a common refrigerator to store their lunches. One day, Emily brought a sandwich wrapped in green foil and placed it on the top shelf of the fridge. While she was away from her desk, Frank accidentally knocked over a container of juice, spilling it all over Emily's sandwich. He quickly cleaned up the mess and replaced her ruined sandwich with one he bought from the cafeteria, wrapping it in red foil. When Emily returns to get her lunch, what will she think happened to her sandwich?"} {"instruction": "A chat. In a library, there are four friends - Hannah, George, Lily, and Sam. Each friend has borrowed a book and placed it on a table before going to find more books. While they're away, another patron accidentally spills water on the table, causing the librarian to move the books to a cart to dry. The librarian then returns the books to their respective shelves. When the friends return, where will they look for their books?"} {"instruction": "A chat. In a park, there are three friends: Alice, Bob, and Carol. Alice has a red backpack with her favorite book inside it. She leaves the backpack on a bench while she goes to buy ice cream. Meanwhile, Bob sees a bluebird flying nearby and decides to follow it. Unbeknownst to them, Carol moves Alice's backpack from the bench to under a tree for shade. Later, a dog comes by and knocks over the backpack, spilling the contents. The owner of the dog quickly picks up the items and places them in a green bag before leaving the scene. When Alice returns, where will she think her backpack is?"} {"instruction": "A chat. At a zoo, three friends - Lily, Benjamin, and Amelia - decide to visit the monkey exhibit. They each have a bag of peanuts: Lily's is red, Benjamin's is green, and Amelia's is blue. They leave their bags on a bench while they watch the monkeys play. A zookeeper sees the unattended bags and moves them to a nearby table for safety reasons. When the friends return, where will they look for their bags? How might they react upon discovering that their bags have been moved?"} {"instruction": "A chat. At a magic show, the magician hides a rabbit in one of three identical boxes: red, blue, or green. He then shuffles the boxes around while the audience watches closely. Unbeknownst to the magician, his assistant secretly switches the rabbit from its original box to another one during the shuffle. The audience is unaware of the switch as well. When the magician reveals the contents of the boxes, what does the audience think?"} {"instruction": "A chat. In a park, there are three friends: Peter, Mary, and Harry. Peter brings his new drone to the park to show it off to his friends. He flies it around for a while before landing it on a picnic table near some trees. While he's not looking, Mary moves the drone to another table closer to the playground as a joke. Later, a gust of wind blows a red frisbee onto the table where the drone is now located, partially covering it. When Peter goes to retrieve his drone, what does he think happened to it?"} {"instruction": "A chat. At a family gathering, Aunt Mary brings a homemade apple pie, Uncle Joe brings a chocolate cake, and Cousin Lisa brings a plate of cookies. They place their desserts on separate tables: Table 1 has the apple pie, Table 2 has the chocolate cake, and Table 3 has the cookies. While everyone is outside playing games, Grandma switches the desserts around so that Table 1 now has the cookies, Table 2 has the apple pie, and Table 3 has the chocolate cake. When it's time for dessert, where will Aunt Mary, Uncle Joe, and Cousin Lisa go to find their respective treats?"} {"instruction": "A chat. In a zoo, there are three animal enclosures: one for lions, one for elephants, and one for giraffes. Three friends - Paula, Quentin, and Rose - decide to visit the zoo separately and plan to meet up later. Paula visits the lion enclosure first, Quentin goes to see the elephants, and Rose heads straight to the giraffe exhibit. Afterward, they all meet up at the zoo's caf\u00e9. As they discuss their experiences, how do they share their thoughts on which animal exhibit was the most interesting? How do their individual preferences and assumptions about their friends' interests affect their conversation?"} {"instruction": "A chat. In a library, the librarian places a rare book on a designated shelf in the reference section. Patron A notices the book and moves it to a different shelf within the same section for easier access later. Patron B sees this and decides to hide the book behind other books on its original shelf. Later, the librarian retrieves the book from its hiding spot and returns it to her office for safekeeping. Where do Patron A, Patron B, and the librarian think the rare book is located?"} {"instruction": "A chat. In an office, four coworkers \u2013 Tom, Jerry, Kate, and Lisa \u2013 have separate drawers for their personal belongings. Tom's drawer is labeled A, Jerry's is B, Kate's is C, and Lisa's is D. One day, the office manager decides to rearrange the drawers without telling anyone. He swaps Tom's drawer A with Jerry's drawer B, and Kate's drawer C with Lisa's drawer D. Later, he realizes his mistake and tries to fix it by swapping Tom's new drawer (B) with Kate's new drawer (D). When the coworkers return to the office, where will they look for their belongings?"} {"instruction": "A chat. In an office, four coworkers - Jane, Mike, Laura, and David - share a communal refrigerator. Jane brings in a purple lunchbox with her name on it and places it on the top shelf. Mike, not realizing it's Jane's lunchbox, moves it to the bottom shelf to make space for his own food. Later, Laura accidentally spills coffee on the bottom shelf and moves the purple lunchbox back to the top shelf to clean up the mess. Finally, David rearranges the fridge items, placing the purple lunchbox in the middle shelf. Where does each coworker believe the purple lunchbox is located?"} {"instruction": "A chat. A teacher, Mr. Smith, assigns a group project to four students: Anna, Ben, Claire, and Daniel. Each student is responsible for a different part of the project. Anna is in charge of research, Ben is responsible for writing, Claire handles visuals, and Daniel manages the presentation. Mr. Smith tells them that he will give extra credit to whoever submits their work first. However, he forgets to tell them which method they should use to submit their work (email or hard copy). How do the students decide how to submit their work? What does Mr. Smith think when he receives their submissions?"} {"instruction": "A chat. In a museum, there are four exhibits: dinosaurs, ancient civilizations, space exploration, and modern art. Four friends - Zoey, Aubrey, Claire, and Addison - visit the museum together but decide to explore different exhibits first. Zoey goes to see the dinosaur exhibit, Aubrey heads to the ancient civilizations section, Claire visits the space exploration area, and Addison checks out the modern art display. While they're separated, a power outage occurs, causing confusion among the visitors. The museum staff quickly moves some exhibits around to accommodate the situation. When the power comes back on and the friends regroup, what do they believe about the locations of the exhibits they visited?"} {"instruction": "A chat. During a family gathering, Grandma places her secret recipe cookies in a yellow jar on the kitchen counter. Uncle Joe, Aunt Mary, and Cousin Jane all witness this. After Grandma leaves the room, Uncle Joe takes some cookies and puts them in his pocket. Aunt Mary then moves the remaining cookies into a green jar and hides it in the pantry. Cousin Jane, unaware of what happened, comes back later and finds no cookies in the yellow jar. What does each person think happened to the cookies?"} {"instruction": "A chat. Emily is baking cookies with her sister, Sarah. Emily places 10 chocolate chips on the counter and goes to the bathroom. While she's gone, Sarah adds 5 more chocolate chips to the pile. Their brother, Tom, walks by and takes 3 chocolate chips without anyone noticing. When Emily returns, how many chocolate chips does she expect to find on the counter, and how many will she actually find?"} {"instruction": "A chat. At a park, four children are playing hide-and-seek. Sophie hides behind a tree, Noah hides under a bench, Emily hides inside a bush, and Oliver hides behind a statue. The seeker, Isabella, finds everyone except for Oliver before giving up. Where does Isabella think Oliver is hiding, and where do the other children believe he is hidden based on their own hiding spots?"} {"instruction": "A chat. During a family vacation, two siblings - Jack and Lily - collect seashells at the beach. Jack collects 10 small shells, while Lily collects 5 large shells. Their mom puts all the shells in a bag and later sorts them into two jars: one for small shells and one for large shells. When the siblings want to show their grandparents their collections, which jar will each sibling look in, and how many shells will they expect to find?"} {"instruction": "A chat. Laura, Mike, and Nora work together on a project that requires collecting data from various sources. Laura is responsible for gathering information from books, Mike collects data from online articles, and Nora interviews experts. Each team member is unaware of the others' progress. Laura finds conflicting information in two different books, Mike discovers a groundbreaking study that supports their hypothesis, and Nora's interviewees provide mixed opinions. How does each team member perceive the project's status based on their individual findings?"} {"instruction": "A chat. During a birthday party, Jack receives a gift from his friend Ella: a small box containing a rare coin. He places the box on the dining table before going outside to play with his friends. While they're gone, Jack's mom moves the box to a shelf in the living room to make space for food. Later, Jack's sister Sophie finds the box and opens it, accidentally dropping the coin into a nearby potted plant. Where does Jack believe his gift is located when he returns, and what do his family members know about its whereabouts?"} {"instruction": "A chat. At a zoo, four animals - a lion, a giraffe, a zebra, and an elephant - live in separate enclosures. During the night, a storm causes a power outage, and the security cameras stop working. The next morning, the zookeepers find that the animals have been moved to different enclosures. Without knowing what happened during the night, how do the zookeepers react to the new arrangement of the animals?"} {"instruction": "A chat. Sarah, Emily, and their dog Luna are at the park. Sarah places her sunglasses on a bench before playing fetch with Luna. While they're playing, Emily moves the sunglasses to a nearby table so she can sit on the bench. Later, a gust of wind blows the sunglasses onto the grass. When Sarah returns, where will she think her sunglasses are?"} {"instruction": "A chat. In a museum, there are three exhibition halls: Hall X, Hall Y, and Hall Z. The curator hides a special artifact in one of the halls for visitors to find. He tells everyone that the artifact is not in Hall X. Later, a group of friends overhears a museum staff member saying that the artifact is also not in Hall Y. However, they decide not to share this information with other visitors. What do the friends think about the location of the artifact compared to the other visitors who only heard the first clue?"} {"instruction": "A chat. During a family vacation, Sarah, David, and their parents visit an amusem*nt park with four roller coasters: Red Rocket, Blue Bolt, Green Goliath, and Yellow Yawper. The family splits up, with Sarah and David going to ride the Red Rocket first. Their parents go to the Blue Bolt. After riding the Red Rocket, Sarah goes to get ice cream while David rides the Green Goliath alone. When Sarah finishes her ice cream, she wants to find David. Which roller coaster will Sarah check first, and where does David think Sarah might be looking for him?"} {"instruction": "A chat. Three friends - David, Emily, and Frank - are planning a surprise birthday party for their friend Grace. They decide to split the tasks among themselves. David is responsible for buying decorations, Emily for ordering the cake, and Frank for sending out invitations. However, on the day of the party, David forgets to buy balloons and streamers, Emily orders a cake with the wrong flavor, and Frank sends the invitations to the wrong email addresses. When they all arrive at the venue, how do they react to each other's mistakes, and what assumptions do they make about their friends' actions?"} {"instruction": "A chat. In a library, Peter, Susan, and Paul are studying together. Peter brings a green notebook, Susan brings a yellow notebook, and Paul brings a purple notebook. Peter leaves his green notebook on the table and goes to the restroom. While he's gone, Susan accidentally spills coffee on Peter's green notebook and quickly replaces it with a new blue one she finds in her bag. Paul sees this but doesn't say anything. When Peter returns, where does he think his green notebook is?"} {"instruction": "A chat. In a classroom, there are five students: Emily, Michael, Olivia, Ethan, and Ava. The teacher has a jar filled with 20 marbles - 10 green, 5 blue, and 5 yellow. She asks the students to guess how many marbles are in the jar. Emily guesses 15, Michael guesses 18, Olivia guesses 20, Ethan guesses 25, and Ava guesses 30. The teacher then reveals that there are actually 22 marbles in the jar because she added two red marbles without telling them. What do the students think about their guesses now?"} {"instruction": "A chat. At a birthday party, Alice hides her present for the birthday girl, Sarah, in the closet of the living room. While Alice is outside playing with other kids, Sarah's mom finds the present and moves it to the bedroom closet to keep all the presents together. Later, Sarah's dad takes some presents from the bedroom closet and puts them on the table in the dining room, but he leaves Alice's present in the bedroom closet. When it's time to open presents, where will Alice think her present is?"} {"instruction": "A chat. During a camping trip, Mike, Laura, and Steve decide to explore the forest. There are two paths leading deeper into the woods: Path A and Path B. They agree to split up, with Mike taking Path A and Laura and Steve taking Path B. After 30 minutes, they plan to return to the campsite. Along Path A, Mike discovers a hidden waterfall and decides to stay there longer than planned. Meanwhile, Laura and Steve find a small cave along Path B. When the agreed-upon 30 minutes have passed, where will Laura and Steve expect Mike to be, and what does Mike assume about Laura and Steve's location?"} {"instruction": "A chat. In a library, there are three sections: fiction, non-fiction, and reference books. Helen, Ian, and Jack visit the library together but split up to browse different sections. Helen goes to the fiction section, Ian to the non-fiction section, and Jack to the reference section. After an hour, they decide to meet back in the lobby. While waiting, Helen assumes that Ian and Jack were also browsing the fiction section, while Ian thinks both Helen and Jack were in the non-fiction section. What does Jack think about where his friends were, and how do they discuss their experiences when they finally meet up?"} {"instruction": "A chat. Emily bakes cookies and places them on a blue plate on the kitchen counter. She tells her brother Jack that she's going out and he can have some cookies after dinner. While Emily is away, their mom comes home and transfers the cookies from the blue plate to a green bowl, which she puts in the pantry. Unaware of this change, where will Jack look for the cookies when he wants one after dinner?"} {"instruction": "A chat. In a library, three students - Anna, Brian, and Claire - are studying together. They each have a different colored notebook: Anna's is purple, Brian's is black, and Claire's is pink. They take a break and leave their notebooks on the table. While they're gone, another student accidentally spills coffee on the table, soaking all three notebooks. The librarian quickly moves the wet notebooks to a nearby shelf and replaces them with identical dry ones in the same colors. When the students return, what do they think happened to their original notebooks?"} {"instruction": "A chat. In a library, there are four friends - Mike, Jane, Peter, and Olivia. Mike witnesses Jane placing her favorite book on a shelf near the entrance before leaving for lunch. During her absence, Peter finds the book and moves it to a table at the back of the library. Later, Olivia comes across the book and returns it to its original spot near the entrance. Where does Mike think Jane's book is when she returns from lunch?"} {"instruction": "A chat. At a family gathering, Grandma hides three presents for her grandchildren - one for Peter, one for Susan, and one for Paul. She tells them that she hid the presents in different rooms: Peter's is in the living room, Susan's is in the kitchen, and Paul's is in the study. While the children are playing outside, Grandpa moves Peter's present from the living room to the dining room, Susan's present from the kitchen to the bathroom, and Paul's present from the study to the bedroom. When the children go inside to search for their presents, where will each child look first?"} {"instruction": "A chat. At a grocery store, Anna and her son Michael are shopping for fruits. They put five apples, three oranges, and two bananas into their cart. While Anna goes to get some grapes, Michael takes out two apples and puts them back on the shelf because he doesn't like them. A store employee then rearranges the apple display, mixing up all the apples. When Anna returns, how many apples does she think are in the cart?"} {"instruction": "A chat. At a picnic, three couples - Zoe and Leo, Victoria and Adam, and Natalie and William - bring various dishes to share. Zoe and Leo bring a fruit salad in a white bowl, Victoria and Adam bring pasta salad in a black bowl, and Natalie and William bring potato salad in a silver bowl. After everyone has eaten, they go for a walk around the park. While they're away, a gust of wind blows napkins over the bowls, obscuring their contents. Upon returning, how will each couple determine which bowl belongs to them? How might they react if someone were to ask about the contents of the other bowls?"} {"instruction": "A chat. At a dog park, four dogs - Daisy, Luna, Charlie, and Max - each bury a bone in a different location: under a bush, near a fence, by a tree, and next to a bench. Their owners watch from a distance without knowing which dog buried which bone. Later, when it's time to leave, where will each owner think their dog's bone is buried, and how many bones do they believe are hidden in total?"} {"instruction": "A chat. At a zoo, four friends - Emma, Frank, Grace, and Harry - decide to split up and explore different areas. Emma goes to see the giraffes, Frank visits the monkeys, Grace heads to the reptile exhibit, and Harry checks out the birds. Before they leave, each friend buys a souvenir: Emma gets a stuffed giraffe, Frank purchases a monkey keychain, Grace acquires a snake bracelet, and Harry buys a bird poster. They agree to meet at the entrance after an hour but get delayed due to various reasons. What does each friend think about the others' whereabouts and souvenirs when they finally reunite?"} {"instruction": "A chat. During a family vacation, siblings Jack, Jill, and Julie are exploring a cave. Jack finds a shiny rock and shows it to Jill before hiding it under a nearby pile of rocks. As they continue exploring, Julie overhears them talking about the shiny rock and decides to find it herself. She locates the rock and hides it in her pocket without telling anyone. When they return to the spot where Jack hid the rock, where do Jack and Jill think the shiny rock is?"} {"instruction": "A chat. At a grocery store, six shoppers are looking for specific items: apples, bread, milk, eggs, cereal, and cheese. They each go to different aisles to find their desired products. During their search, a store employee restocks the shelves and moves some items to different locations. When the shoppers return to their original aisles, how do they react to the changes in product placement?"} {"instruction": "A chat. In an office building, there are five floors. A company CEO announces that he has hidden a bonus check for one lucky employee somewhere in the building. He mentions that the check is not on the first floor. During lunchtime, two employees overhear a conversation between the CEO and his assistant, revealing that the check is also not on the second or third floors. These employees decide not to share this information with their colleagues. What do the employees who only heard the initial announcement think about the location of the bonus check, and what do those who overheard the conversation think?"} {"instruction": "A chat. Tom and Jerry are brothers who share a bedroom. Tom has a secret stash of candy hidden in his sock drawer. One day, when Tom is at school, Jerry discovers the candy and eats half of it. He then hides the remaining candy in a shoebox under his bed. After dinner, their mom gives them both some new candy and tells them to put it away. Where does Tom think his original stash of candy is?"} {"instruction": "A chat. At a birthday party, six children are playing with balloons. There are two red balloons, two blue balloons, and two green balloons. The host tells the children that each color represents a different prize. After playing for a while, the children accidentally pop all the balloons. Later, when it's time to claim their prizes, how will the children know which prize corresponds to which balloon color?"} {"instruction": "A chat. In a library, four students - Isabella, Sophia, Aiden, and Ethan - are working on a group project. They have one copy of a crucial book that they need to share. Isabella reads the book first and then passes it to Sophia, who takes it to a different table. While Sophia is reading the book, Aiden sees her and assumes she's finished with it, so he takes it back to the original table. Later, Ethan finds the book on the original table and moves it to a shelf nearby while searching for another resource. What do each of the students think about the location of the crucial book?"} {"instruction": "A chat. In a school playground, there are three friends: Mia, Ava, and Sophia. Mia brings her favorite blue ball to play with during recess. She leaves it near the swings while she goes to get a drink of water. Meanwhile, Ava finds the blue ball and decides to hide it in the sandbox as a prank. Sophia sees this but doesn't tell Mia. After recess, where will Mia look for her blue ball?"} {"instruction": "A chat. Tim has two dogs: a golden retriever named Daisy and a black labrador named Luna. He usually keeps their toys in separate boxes \u2013 a yellow box for Daisy and a purple box for Luna. One day, Tim's sister Sophie rearranges the dog toys and swaps the contents of the boxes without telling Tim. When Tim goes to give Daisy a toy, which box will he open first?"} {"instruction": "A chat. On a family vacation, parents Ann and Bill take their children, Lucy and Sam, to an amusem*nt park. They agree to meet at the entrance after riding their favorite attractions. Ann goes on a roller coaster, Bill visits the haunted house, Lucy rides the Ferris wheel, and Sam plays in the arcade. While they're separated, each family member wins a prize: a stuffed animal, a keychain, a hat, or a toy car. When they reunite, how do they react to each other's prizes?"} {"instruction": "A chat. At a train station, five friends - Anna, Ben, Claire, David, and Ella - are waiting for their trains. Each friend is going to a different destination: New York, Los Angeles, Chicago, Miami, and Seattle. They have tickets with assigned seat numbers, but they accidentally mix up their tickets while chatting. As they try to figure out whose ticket belongs to whom, what city does each friend think they will be traveling to?"} {"instruction": "A chat. At a playground, children Lily, Sam, and Ella are playing with a toy car. Lily places the toy car on top of the slide and lets it roll down. While she goes to retrieve it, Sam secretly takes the toy car and hides it in his backpack. Meanwhile, Ella sees a similar-looking toy car near the swings and brings it to Lily, thinking it's the same one. When Lily returns without finding the original toy car, where does she think it is?"} {"instruction": "A chat. At a birthday party, Jack and Jill see a magician perform a trick where he makes a coin disappear from his hand. Both children are amazed by the trick. Later, the magician reveals that the coin was hidden in his sleeve. Jack overhears this, but Jill does not. When they discuss the trick later, what does Jill think happened to the coin?"} {"instruction": "A chat. At a birthday party, five children - Jack, Jill, Sam, Lucy, and Mia - decide to play musical chairs with six chairs arranged in a circle. They start the game with Jack turning off the music randomly while the others walk around the chairs. In the first round, Sam is left without a chair and is out of the game. He goes to grab a snack from the table nearby. While he's away, Lucy secretly removes one more chair, leaving only four chairs for the remaining players. When Sam returns, how many chairs does he think are left in the game, and what do the other children know about the number of chairs?"} {"instruction": "A chat. In a restaurant, three couples are having dinner at separate tables. Each couple orders a different meal: steak and potatoes, pasta with marinara sauce, or grilled salmon with vegetables. During the meal, a waiter accidentally delivers the wrong dishes to each table. The couples don't notice the mistake until they start eating. How do they perceive the situation when they realize they received the incorrect meals?"} {"instruction": "A chat. At a busy train station, Lily watches her friend Alex place his suitcase on a bench before going to buy tickets. During his absence, a security officer moves the suitcase to a designated luggage area due to safety regulations. Meanwhile, Lily is momentarily distracted by a street performer and misses seeing the suitcase being moved. Where will Lily expect Alex's suitcase to be when he returns, and how does this differ from its actual location?"} {"instruction": "A chat. At a train station, two friends, Sam and Dean, are waiting for their train. Sam buys a newspaper from a nearby stand and places it on a bench next to him. He then leaves to buy coffee for both of them. Meanwhile, an elderly lady sits down on the bench and accidentally covers the newspaper with her purse. Dean sees this but doesn't say anything. When Sam returns with the coffees, where does he think the newspaper is?"} {"instruction": "A chat. A group of friends is playing hide-and-seek at a park. Jennifer hides behind a large tree, while Kevin watches from a distance. Unbeknownst to both of them, a dog walker passes by and ties their dog's leash to the same tree, then walks away. As the seeker approaches, the dog barks loudly, drawing attention to the area. How does this affect Kevin's knowledge of Jennifer's hiding spot and how might the seeker interpret the situation?"} {"instruction": "A chat. In an art gallery, there are three paintings: one by Van Gogh, one by Monet, and one by Picasso. A group of friends visits the gallery, but they get separated. Each friend looks at a different painting without knowing which artist painted it. They meet up later to discuss their favorite artwork. How do they determine which painting was created by which artist if none of them saw all three paintings?"} {"instruction": "A chat. In a zoo, there are five different animal enclosures \u2013 elephant, giraffe, lion, penguin, and kangaroo \u2013 each marked with a unique symbol: star, circle, square, triangle, and hexagon. The zookeeper needs to feed each animal its specific food but accidentally drops all the labels on the ground. Another zookeeper finds the labels and randomly places them back on the enclosures. How can the first zookeeper determine which food goes to which enclosure based on the incorrect symbols?"} {"instruction": "A chat. At a birthday party, Sarah, Jane, and Tom are playing hide-and-seek. Sarah is the seeker, while Jane and Tom go to hide. Jane hides under the bed, and Tom hides inside the closet. Meanwhile, Sarah's mom calls her downstairs to help set up the cake. During this time, Jane sneaks out from under the bed and hides in the bathroom instead. Tom, however, stays in the closet. When Sarah returns to continue seeking, where does she think Jane is hiding?"} {"instruction": "A chat. At a museum, three friends - Mia, Noah, and Olivia - are admiring a painting. Mia steps away to use the restroom, and while she is gone, Noah tells Olivia that he read online that the painting is actually a forgery. They decide not to tell Mia when she returns. As they continue discussing the artwork, what does each friend believe about the authenticity of the painting, and how might their opinions differ based on the information they have?"} {"instruction": "A chat. In a family of five siblings - Sam, Mary, Peter, Laura, and Emily - each has their own designated drawer in the bathroom for their toiletries. One day, their mother decides to rearrange the drawers without telling them. She moves Sam's items to Mary's drawer, Mary's to Peter's, Peter's to Laura's, Laura's to Emily's, and Emily's to Sam's. What do the siblings believe when they go to use their toiletries next time?"} {"instruction": "A chat. In a shared office space, three coworkers - Sam, Tina, and Victor - each have a personal coffee mug. Sam's mug is white with black stripes, Tina's is black with white polka dots, and Victor's is plain gray. One day, they all leave for lunch, leaving their mugs on their respective desks. During their absence, the cleaning staff collects all the mugs and puts them in the kitchen cabinet. Later, when the coworkers return from lunch, where will they look for their mugs?"} {"instruction": "A chat. At a park, there are four friends: Emma, Olivia, Ava, and Isabella. They decide to play hide-and-seek. Emma is chosen as the seeker, while the other three girls go off to hide. Olivia hides behind a large oak tree, Ava hides inside a small cave, and Isabella climbs up a tall pine tree. As Emma begins counting, a park ranger comes by and tells Ava that she cannot hide in the cave because it's dangerous. Ava quickly moves to hide under a nearby picnic table instead. Unbeknownst to Emma, a squirrel also runs up the same pine tree where Isabella is hiding. When Emma finishes counting and starts searching, what does she believe about her friends' hiding spots?"} {"instruction": "A chat. In an office building, there are five floors: marketing on the first floor, finance on the second, human resources on the third, engineering on the fourth, and executive offices on the fifth. Five employees - Lucy, Stella, Hazel, Luna, and Violet - work on different floors. One day, the elevator malfunctions and takes each employee to the wrong floor: Lucy ends up on the second floor, Stella on the third, Hazel on the fourth, Luna on the fifth, and Violet on the first. When they exit the elevator, what do they think about their respective locations?"} {"instruction": "A chat. Sarah, Emily, and their dog Bella are playing in the park. Sarah hides a bone under a red bench while Emily is watching. Then, they both go to get ice cream from a nearby truck. While they're away, a gardener moves the bone from under the red bench to under a blue bench. When they return, another child tells Emily that he saw the gardener move the bone but doesn't tell Sarah. Where will Sarah look for the bone, and where will Emily suggest looking?"} {"instruction": "A chat. At school, Sarah sees Lisa put her lunchbox in locker number 5 before going to class. During recess, Lisa's friend Emma accidentally spills juice on Lisa's lunchbox and decides to move it to locker number 7 to dry off. After school, Sarah wants to surprise Lisa by decorating her lunchbox with stickers. Which locker will Sarah check first to find Lisa's lunchbox?"} {"instruction": "A chat. Four coworkers - Paul, Rachel, Steve, and Tina - share an office refrigerator. Each person has a designated shelf for their lunch. On Monday, Paul brings a turkey sandwich, Rachel brings a salad, Steve brings sushi, and Tina brings pasta. During lunchtime, someone turns off the refrigerator's power, causing all the food to spoil. The next day, each coworker brings the same lunch as before, but this time they place their food on a different shelf. When it's time for lunch, what does each person expect to find on their designated shelf, and how might they react upon discovering the spoiled food?"} {"instruction": "A chat. Jane, Peter, and Susan live together in a shared apartment. They each have their own food cupboard: Jane's is pink, Peter's is blue, and Susan's is green. One day, Jane buys a jar of peanut butter and places it in her pink cupboard before leaving for work. While she's away, Peter takes the peanut butter from Jane's cupboard and puts it in his blue one. Later, Susan moves the peanut butter from Peter's cupboard to her green one. When Jane returns home, she wants to make a sandwich with her peanut butter. Where will each roommate think the peanut butter is located?"} {"instruction": "A chat. Four coworkers - Jack, Kelly, Luke, and Monica - participate in a team-building exercise where they must solve a series of puzzles to unlock a treasure chest. The puzzles involve math problems (M), word riddles (W), pattern recognition (P), and logic questions (L). Each person can only work on one type of puzzle at a time, and they cannot communicate with each other during the activity. Jack solves M, Kelly tackles W, Luke focuses on P, and Monica works on L. At the end of the exercise, the treasure chest remains locked. How do each coworker perceive the situation and their teammates' abilities?"} {"instruction": "A chat. At a zoo, there are two animal caretakers named Jane and Mark. They both take care of different animals: Jane looks after the lions, while Mark takes care of the giraffes. One day, Jane decides to surprise Mark by cleaning the giraffe enclosure for him. While she's doing this, Mark is taking a break and doesn't notice her. Later, when Mark comes back to check on the giraffes, what does he think happened to the enclosure? What does Jane think when she sees Mark's reaction?"} {"instruction": "A chat. Yolanda hides a treasure chest filled with toys in a cave by the beach. Zachary watches from afar as she leaves and then moves the chest to a nearby forest. Afterward, Aaron discovers the chest in the forest and relocates it to an abandoned house. If Yolanda, Zachary, and Aaron all return to the beach, what do they think about the location of the treasure chest?"} {"instruction": "A chat. In a classroom, there are 20 students, a teacher, and a hamster in a cage. The teacher assigns a group project and leaves the room for a meeting. While she's gone, one student opens the hamster cage to play with it, but the hamster escapes and hides under a desk. Another student accidentally spills water on the floor near the cage. When the teacher returns and sees the open cage and wet floor, what will she think happened to the hamster?"} {"instruction": "A chat. At a family gathering, Alice, Brian, and Claire decide to play hide-and-seek. Alice is chosen as the seeker, so she closes her eyes and counts while Brian and Claire go to hide. Brian hides behind the couch, and Claire hides under the dining table. While Alice is still counting, Brian decides to change hiding spots and moves to the laundry room. Unaware of this, Claire also changes her spot and hides behind the same couch where Brian was initially hiding. When Alice finishes counting and starts searching for them, what will be her thought process when finding Brian and Claire?"} {"instruction": "A chat. In a classroom, there are three students - Jack, Olivia, and Sophia - who sit in a row. One day, their teacher gives them each a puzzle to solve. Jack receives a 50-piece puzzle, Olivia gets a 100-piece puzzle, and Sophia is given a 200-piece puzzle. During recess, another student named Ethan comes into the classroom and mixes up all the puzzle pieces. When Jack, Olivia, and Sophia return from recess, what do they think happened to their puzzles, and how might they feel about the situation?"} {"instruction": "A chat. At a bakery, there are four types of cookies: chocolate chip, oatmeal raisin, sugar, and peanut butter. The baker displays the cookies on separate plates labeled with the cookie type. During lunchtime, a customer accidentally knocks over the display, mixing up the cookies. The baker quickly rearranges the cookies onto new plates without checking the labels. When customers come in later to buy cookies, how do they determine which plate contains which type of cookie?"} {"instruction": "A chat. A group of friends - Mary, Jane, Peter, and Paul - go hiking together. They stop at a fork in the trail and decide to split up, with Mary and Jane going left and Peter and Paul going right. Before they part ways, they agree to meet back at the fork in two hours. During their hike, Mary and Jane find a beautiful waterfall and decide to stay there longer than planned. Meanwhile, Peter and Paul return to the fork after two hours but don't see Mary and Jane. What do Peter and Paul think about Mary and Jane's whereabouts?"} {"instruction": "A chat. In a zoo, there are three animal enclosures: one for lions, one for zebras, and one for giraffes. The zookeeper, Mr. Brown, feeds each animal species different types of food. He gives the lions meat, the zebras hay, and the giraffes leaves. One day, Mr. Brown's assistant mistakenly mixes up the food containers and delivers the wrong food to each enclosure. Where does Mr. Brown think he has placed each type of food, and where is it actually located?"} {"instruction": "A chat. In an art class, students create paintings that are hung up to dry on one of three walls: Wall A, Wall B, or Wall C. Peter's painting is placed on Wall A, Susan's painting is placed on Wall B, and Michael's painting is placed on Wall C. The art teacher decides to rearrange the paintings for better visibility, moving Peter's painting to Wall C, Susan's painting to Wall A, and Michael's painting to Wall B. The teacher then leaves the room without informing the students about the changes. When Peter, Susan, and Michael come back to collect their paintings, where will each student initially search for their artwork?"} {"instruction": "A chat. At a zoo, four animals - an elephant, a giraffe, a lion, and a monkey - are playing hide-and-seek. The elephant is hiding behind a large rock, while the giraffe hides inside a tall bush. The lion decides to climb a tree, and the monkey hides under a pile of leaves. A group of children come by and accidentally scare the elephant and the giraffe, causing them to switch hiding spots. The lion and the monkey don't see this happen. Where do they think the other two animals are hiding?"} {"instruction": "A chat. Four siblings - Jack, Lily, Mike, and Kate - live together in a house. One day, they receive a package containing four identical teddy bears as a gift from their aunt. Each sibling chooses a bear and hides it in their room. Jack hides his bear in the closet, Lily hides hers under the bed, Mike keeps his on the bookshelf, and Kate places hers in a drawer. During the day, their pet dog enters each room and relocates the bears: Jack's bear is moved to the windowsill, Lily's bear is now on top of the dresser, Mike's bear is found under the desk, and Kate's bear ends up on the floor beside the bed. When the siblings return to their rooms, where will they initially look for their teddy bears?"} {"instruction": "A chat. In a classroom, the teacher places a green apple on her desk before leaving for lunch. Student A notices the apple and moves it to the windowsill so she can draw it as part of an art project. While she's away getting supplies, Student B takes the apple from the windowsill and puts it in his backpack, planning to eat it later. Finally, Student C finds the apple in Student B's backpack and returns it to the teacher's desk. What does each person believe about the location of the green apple?"} {"instruction": "A chat. In a classroom, there are five students - Grace, Henry, Isabella, James, and Charlotte - working on a group project. They each have different colored markers: Grace has orange, Henry has brown, Isabella has magenta, James has teal, and Charlotte has lime green. They leave their markers on the table and go out for recess. While they're gone, another class comes in and uses their markers, leaving them scattered around the room. If each student were asked where they think their marker is, what would they answer? How might they feel upon discovering the mess?"} {"instruction": "A chat. Jack and Jill went hiking in the forest. They found a beautiful spot near a waterfall and decided to have a picnic. Jack brought a yellow blanket and spread it on the ground. He then placed a basket filled with sandwiches, fruits, and drinks on the blanket. Jill went to collect some wildflowers to decorate the picnic area. While she was away, a strong gust of wind blew the yellow blanket into the river, taking the basket along with it. A kind stranger saw what happened and replaced the lost items with his own orange blanket and food supplies. When Jill returns, what will she think happened to their picnic setup?"} {"instruction": "A chat. At a grocery store, Karen sees her friend Susan put a carton of eggs into her shopping cart. Later, while Susan is in another aisle, an employee accidentally knocks over her cart, breaking some of the eggs. The employee quickly replaces the broken eggs with a new carton before Susan returns. What will Karen think when she sees Susan checking out with unbroken eggs, and how does this differ from Susan's perspective?"} {"instruction": "A chat. At a bakery, four friends - Anna, Beth, Claire, and Derek - are waiting in line to buy pastries. The bakery has a limited stock of three chocolate croissants, two almond croissants, and one plain croissant left. Anna is first in line and buys the plain croissant. Beth is next and buys one chocolate croissant. While Claire is deciding what to buy, Derek steps out to take a phone call. Claire ends up buying both almond croissants. When Derek returns, how many chocolate croissants does he think are available, and what do the others know about the remaining pastry options?"} {"instruction": "A chat. Three siblings, Laura, Mike, and Jenny, live together in an apartment. Laura has a secret stash of candy hidden in a drawer under her bed. One day, while Laura is at work, Mike discovers the stash and takes half of the candies. Later, Jenny also finds the stash and takes half of the remaining candies. When Laura comes home and checks her stash, how much candy does she have left? Who does she suspect took her candy?"} {"instruction": "A chat. Peter, Quinn, and Rachel are working on a group project at school. They agree that Peter will research Topic A, Quinn will focus on Topic B, and Rachel will cover Topic C. However, when they go home, Peter accidentally starts researching Topic B instead of Topic A. Meanwhile, Quinn forgets which topic she was assigned and begins studying Topic A. Rachel stays true to her assignment and studies Topic C. When they meet up again in class, what do they think about each other's progress and knowledge of their respective topics?"} {"instruction": "A chat. At school, Lisa, Mike, and Kevin are working on a group project. They need to use a specific textbook, which they know is in the library. Lisa goes to the library first and finds the book on a shelf labeled \"A.\" She brings it back to the group, but then has to leave for a dentist appointment. While she's gone, Mike takes the book and returns it to the library, placing it on shelf \"B.\" Kevin sees this but doesn't say anything. Later, a librarian moves the book from shelf \"B\" to shelf \"C.\" Where does each group member think the textbook is located?"} {"instruction": "A chat. At a train station, there are three platforms: one for northbound trains, one for southbound trains, and one for eastbound trains. Each platform has a different colored sign: red for northbound, blue for southbound, and green for eastbound. During maintenance work, the signs get accidentally switched around by the workers. When passengers arrive at the station, where do they think each train is departing from based on the colors of the signs, and where are the trains actually departing from?"} {"instruction": "A chat. At a birthday party, there were six friends - Peter, Paul, Quinn, Rachel, Sam, and Tina. The host hid a surprise gift somewhere in the house and gave each person a clue to find it. Peter's clue led him to believe that the gift was hidden behind a painting in the hallway. However, while searching, he overheard Quinn telling Rachel that she had found the gift under a couch cushion in the living room. Peter didn't know whether to trust Quinn or not. What does Peter think about the location of the gift now?"} {"instruction": "A chat. In a park, there are three friends - Alice, Bob, and Carol. Alice hides her favorite book under a red bench near the playground. She then leaves to buy ice cream for everyone. While she's away, Bob moves the book from under the red bench to a blue bench near the pond because he thinks it will be safer there. Meanwhile, Carol sees Bob moving the book but decides not to say anything. Later, a dog picks up the book from the blue bench and buries it near a tree. When Alice returns with the ice cream, where does each friend think the book is located?"} {"instruction": "A chat. In a science lab, three researchers - Alex, Grace, and Harper - are working on separate experiments involving different chemicals: chemical A, chemical B, and chemical C. They each store their chemicals in identical containers. During lunch, the janitor accidentally knocks over the containers, spilling the contents. The janitor replaces the lost chemicals with new ones but mixes up the labels. When the researchers return, which chemical will each researcher think is in their container, and how might this affect their experiments?"} {"instruction": "A chat. In a laboratory, three scientists - Dr. Adams, Dr. Brown, and Dr. Clark - are working on separate experiments involving chemical solutions. Each scientist has labeled their solution with their initials and placed them in identical beakers. During lunchtime, an intern named Alex enters the lab to clean up. Unaware of the importance of the labels, he removes them while cleaning the beakers. When the scientists return, how can they determine which solution belongs to whom without conducting any tests or asking Alex?"} {"instruction": "A chat. During a camping trip, four friends - Alex, Brian, Cathy, and Diane - decide to go fishing. They leave their tents and belongings at the campsite and head to the nearby lake. While they're gone, a group of raccoons rummages through their food supplies and scatters items around the campsite. When the friends return from fishing, what do they think happened at the campsite?"} {"instruction": "A chat. In an office, coworkers Lisa, Kevin, and Maria share a refrigerator. Lisa brings a salad for lunch and places it on the top shelf. Later, Kevin moves Lisa's salad to the bottom shelf to make room for his large sandwich. Maria, not knowing whose salad it is, throws it away because it looks old. When lunchtime comes, where does Lisa think her salad is?"} {"instruction": "A chat. At a park, two friends - Lily and Zoe - find a lost wallet containing cash and an ID card. They decide to keep the wallet safe until they can locate its owner. Lily hides the wallet inside a hollow log near the playground before leaving to search for the owner. While she's gone, Zoe checks the hiding spot and discovers that ants have invaded the wallet. She removes the wallet from the log and places it under a nearby bench. Where does Lily think the wallet is when she returns, and what does Zoe know about its current location?"} {"instruction": "A chat. At a family gathering, there are three cousins: Lily, Sam, and Oliver. They each have a favorite toy: a teddy bear, a toy car, and a doll. The toys are hidden around the house by their aunt as part of a game. While searching for the toys, Lily overhears her aunt telling another adult where she hid the teddy bear. Later, Sam finds the toy car but decides to keep looking for the teddy bear because it's his favorite. Meanwhile, Oliver finds the doll and takes it with him. When all the children gather together again, what do they think about who found which toy?"} {"instruction": "A chat. In a classroom, there are three students - Sam, Tina, and Uma - who each have their own desk with a drawer. Sam has a red pencil case, Tina has a green one, and Uma has a blue one. One day, Sam leaves his pencil case on Tina's desk while he goes to the restroom. Meanwhile, Tina accidentally spills water on her desk and quickly moves her belongings to Uma's desk, including Sam's pencil case. When Sam returns, where will he look for his pencil case?"} {"instruction": "A chat. In an office, there are three coworkers: Jim, Pam, and Dwight. They each have their own desk with various items on it. On Monday morning, Jim brings in a new stapler, Pam brings in a colorful pen set, and Dwight brings in a unique paperweight. During lunch, the office prankster moves these items to different desks without telling anyone. When they return from lunch, where do Jim, Pam, and Dwight think their new items are located?"} {"instruction": "A chat. On a family vacation, Dad hides the car keys in his suitcase so they won't get lost during their stay at the hotel. While he's out exploring the town with Mom, their son Alex finds the keys and moves them to the top drawer of the dresser for safekeeping. Later, their daughter Bella discovers the keys in the dresser and decides to hide them inside a shoe in the closet as a prank. When Dad goes to retrieve the keys to drive the family to dinner, where will he look first, and what information does he have about their location?"} {"instruction": "A chat. Sarah is baking cookies with her sister, Emily. Sarah puts the freshly baked cookies on the kitchen counter to cool down while she goes to pick up her kids from school. Meanwhile, Emily moves half of the cookies into an orange container and leaves the rest on the counter. She then goes out to meet her friend. Later, Sarah's husband, David, arrives home and sees the cookies on the counter. He decides to surprise Sarah by putting all the remaining cookies in a yellow container. Where will Sarah think the cookies are when she returns home?"} {"instruction": "A chat. At a dog park, there are four dogs playing fetch with their owners. The dogs are named Daisy, Rex, Luna, and Max. Their respective owners, unaware of the other dogs' names, call out commands using colored balls: red for Daisy, blue for Rex, green for Luna, and yellow for Max. Suddenly, all four balls are thrown at once, causing confusion among the dogs. How can the owners figure out which dog responded to which ball color without knowing the other dogs' names?"} {"instruction": "A chat. During a game of hide-and-seek, Isabella hides behind a tree while Jack counts. Meanwhile, Kate watches from a distance as Isabella switches hiding spots to behind a bush. Unbeknownst to both girls, Luke sees Isabella move and decides to take her original spot behind the tree. When Jack finishes counting and starts searching, what do Isabella, Kate, and Luke think about each other's locations?"} {"instruction": "A chat. At a train station, there are three platforms: Platform A for northbound trains, Platform B for southbound trains, and Platform C for westbound trains. Three passengers - Nora, Ellie, and Leah - arrive at the station with plans to travel in different directions. Nora needs to go north, Ellie wants to head south, and Leah intends to travel west. However, due to construction work, the platform assignments have been temporarily changed: Platform A now serves southbound trains, Platform B accommodates westbound trains, and Platform C hosts northbound trains. When the passengers board their respective trains, what do they think about the platform assignments?"} {"instruction": "A chat. At a zoo, three animal caretakers - Tom, Susan, and Nancy - each take care of different animals: Tom takes care of the lions, Susan looks after the elephants, and Nancy cares for the giraffes. One day, the zookeeper asks them to switch roles for a week. During this time, the caretakers must keep track of each other's routines and feeding schedules. After the week is over, how can they ensure that they have accurately followed one another's routines without directly asking or observing each other?"} {"instruction": "A chat. At a birthday party, Jack watches as his friend Sam hides a gift behind a potted plant. Later, while Sam is distracted, another guest moves the gift under a chair to make more space. Meanwhile, Jack goes to the bathroom and misses seeing the gift being moved. Upon returning, where will Jack expect Sam's gift to be hidden and how does this differ from the actual location?"} {"instruction": "A chat. At a family gathering, Aunt Susan brings a tray of 12 cupcakes and places them on the dining table. Uncle Jack secretly eats 3 cupcakes and hides the evidence in the trash can. Cousin Emma sees this and decides to bake 3 more cupcakes to replace the eaten ones. She places the new cupcakes on the tray before anyone else notices. What does Aunt Susan think happened to the cupcakes, and what do Uncle Jack and Cousin Emma know about the changes?"} {"instruction": "A chat. Maria has two cats: a white cat named Snowball and an orange cat named Pumpkin. She usually feeds them in separate bowls \u2013 a pink bowl for Snowball and a green bowl for Pumpkin. One day, Maria's roommate Alex swaps the food in the bowls without telling Maria. When Maria goes to feed Snowball, which bowl will she choose first?"} {"instruction": "A chat. At a birthday party, Jack, Jill, and Sam are playing hide-and-seek. Jack hides a toy car in a purple gift bag before starting the game. While everyone is searching, Jill finds the toy car and moves it to a blue gift bag. Sam sees this happen but keeps quiet. Later, the birthday child opens the blue gift bag and removes the toy car, placing it on a table. Where do Jack, Jill, and Sam think the toy car is located?"} {"instruction": "A chat. At a zoo, three animal caretakers named Alice, Bob, and Charlie are responsible for feeding different animals. Alice feeds the giraffes, Bob feeds the elephants, and Charlie feeds the lions. One day, the manager decides to switch their responsibilities without informing them. He assigns Alice to feed the lions, Bob to feed the giraffes, and Charlie to feed the elephants. When they arrive at work the next day, which animals do they think they're supposed to feed?"} {"instruction": "A chat. In a bakery, Baker A prepares a batch of chocolate chip cookies and sets them on the counter to cool. While she's busy with another task, Baker B samples a cookie and finds it too sweet, so he adds extra salt to the remaining dough before baking a second batch. Meanwhile, Customer X enters the bakery and overhears Baker B discussing the salty cookies with another employee. If Customer X purchases a cookie without knowing which batch it came from, what assumptions might they make about its taste based on the information they have?"} {"instruction": "A chat. At a picnic, Mary brings a basket with 10 sandwiches and sets it on the table. She goes to play frisbee with some friends, leaving John and Steve at the table. John eats two sandwiches and hides the wrappers in his backpack. Steve sees this and decides to make two more sandwiches to replace the eaten ones. When Mary returns, how many sandwiches does she think are left in the basket, and what do John and Steve know about the changes?"} {"instruction": "A chat. At a library, Librarian A places a rare book on a high shelf in the reference section for safekeeping. Later, Librarian B notices the book and moves it to a locked cabinet behind the circulation desk, believing it should be more secure there. Unbeknownst to both librarians, Library Patron C has been watching these events unfold and decides to sneakily take the book from the locked cabinet when no one is looking. When Librarian A goes to check on the rare book later, what do they think happened to it, and how might their understanding change if they knew about the actions of Librarian B and Library Patron C?"} {"instruction": "A chat. Jack and Jill are playing hide-and-seek at their grandparents' house. Jack hides in the attic while Jill counts downstairs. Meanwhile, their grandfather moves a large box that was blocking the entrance to a secret room in the attic. Unaware of this change, where will Jill look for Jack when she starts searching? And if she finds the secret room, what might she think about its discovery?"} {"instruction": "A chat. In an art gallery, a valuable painting is displayed in Room A. The curator decides to move the painting to Room B for better lighting. Security Guard 1 witnesses the move but accidentally tells Security Guard 2 that the painting was moved to Room C. Meanwhile, Security Guard 3 overhears their conversation and assumes the painting is now in Room D due to a misunderstanding. Where does each person involved believe the valuable painting is located?"} {"instruction": "A chat. In a classroom, there are six students working on a group project about animals. Each student researches a different animal: a lion, a dolphin, a kangaroo, an elephant, a penguin, and a snake. They each write their findings on separate pieces of paper and put them in a folder. Later, the teacher shuffles the papers and redistributes them randomly among the students. What animal information will each student expect to receive, and how will they react when they get a different animal's information?"} {"instruction": "A chat. In a park, there are three friends - Alice, Bob, and Carol. Alice hides a golden key under a red bench while Bob and Carol are playing frisbee nearby. After Alice leaves for the restroom, Bob sees a squirrel digging near the red bench and finds the hidden key. He decides to move it to a blue trash can before joining Carol again. Meanwhile, Carol spots a green backpack left unattended and moves it closer to their belongings. When Alice returns, she notices the green backpack but not the key's new location. What does each friend think about the situation?"} {"instruction": "A chat. In an office building, there are five coworkers - Amy, Brian, Claire, David, and Eric. Each person has their own coffee mug with their name on it. One day, someone accidentally breaks Amy's mug while she's away from her desk. The only witnesses are Claire and David, who didn't see who broke the mug. When Amy returns and discovers her broken mug, how can she determine who is responsible without accusing any of her innocent coworkers?"} {"instruction": "A chat. At a campsite, four tents are set up in different colors: red, blue, green, and yellow. Inside each tent is a unique item: a sleeping bag, a backpack, a lantern, or a cooler. The campers - Jack, Jill, Harry, and Sally - know which items belong to them but not the color of their tents. During the night, a storm causes the tents to collapse and mix together. In the morning, how do the campers determine which tent belongs to whom based on their initial knowledge?"} {"instruction": "A chat. In a shared apartment, roommates Lily, Mia, and Zoe have separate shelves in the bathroom for their toiletries. Lily keeps her toothbrush in a purple cup, Mia in a green cup, and Zoe in an orange cup. One morning, while everyone is away, the landlord enters the apartment to fix a leaky faucet. He accidentally knocks over all the cups, causing the toothbrushes to fall out. He quickly puts them back into random cups. When the roommates return home, what do they think happened to their toothbrushes?"} {"instruction": "A chat. Tom and Jerry are roommates. Tom buys a carton of orange juice and puts it in the fridge. Jerry, who doesn't know that Tom bought the juice, sees it and assumes it's his own from last week. He drinks some and then accidentally knocks over the carton, spilling the remaining juice. He cleans up the mess but doesn't replace the juice. When Tom goes to the fridge later to get his orange juice, what will he think happened?"} {"instruction": "A chat. In a school science lab, there are five students - Adam, Beth, Carl, Debby, and Eric - working on separate chemistry experiments. Each student has a unique colored lab coat: Adam's is orange, Beth's is teal, Carl's is maroon, Debby's is magenta, and Eric's is navy blue. They hang their lab coats on individual hooks before starting their experiments. During a fire drill, all the students leave the lab and the science teacher collects the lab coats to wash them. When the students return after the drill, where will they expect to find their respective lab coats?"} {"instruction": "A chat. At a zoo, five friends - Tom, Jerry, Sue, Mary, and Joe - decide to visit different animal exhibits. Tom goes to see the lions, Jerry visits the giraffes, Sue checks out the penguins, Mary heads to the reptile house, and Joe explores the bird aviary. After an hour, they agree to meet back at the entrance. However, Tom gets lost on his way back and ends up at the elephant exhibit instead. What do the other friends assume about Tom's location, and where does Tom think they might be looking for him?"} {"instruction": "A chat. In a garden, there are five plants - roses, daisies, tulips, sunflowers, and lilies. Each plant is cared for by a different gardener: Mary, Nancy, Owen, Paul, and Rita. One day, Mary waters the roses and then goes inside to take a break. While she's gone, Nancy comes out and trims the rose bushes, leaving the clippings on the ground. Later, Owen comes by and mistakes the clippings for weeds, disposing of them in the compost bin. When Mary returns to check on her roses, what will she think happened to the clippings?"} {"instruction": "A chat. In an art studio, five artists - Mia, Harper, Benjamin, Lucas, and Henry - have individual lockers for their supplies. Mia paints a beautiful landscape and stores it in her locker before leaving for lunch. During her absence, Harper accidentally spills paint on Mia's painting while it's still in the locker. Lucas witnesses this and decides to clean the painting, but he accidentally smudges some of the colors. Henry then sees the smudged painting and assumes it's unfinished, so he attempts to fix it by adding more details. When Mia returns, what does she expect to find in her locker, and how do the other artists perceive the situation?"} {"instruction": "A chat. Sarah, Jane, and Tom live together in an apartment. One day, Sarah buys a carton of milk and writes her name on it before placing it in the fridge. Later that day, Jane accidentally spills half of the milk while making coffee and decides to replace it with a new carton without telling anyone. Meanwhile, Tom comes home from work and sees the new carton but doesn't notice the spilled milk. What does each person believe about the milk situation when they next open the fridge?"} {"instruction": "A chat. During a game night, six people \u2013 Alex, Betty, Chris, Diane, Edward, and Fiona \u2013 draw cards from a deck containing three pairs of matching colors: red, green, and blue. Each person draws one card and keeps it hidden from the others. Alex and Betty both draw red cards, Chris and Diane get green ones, and Edward and Fiona pick blue cards. Throughout the game, they can trade cards with each other but cannot reveal their colors. By the end of the night, Alex has traded his red card with Chris's green one, while Diane trades her green card with Fiona's blue one. What color card does each person think they have at the end of the game?"} {"instruction": "A chat. Jane has two dogs, Max and Bella. One day, she buys two new dog toys: a green ball and an orange bone. She gives the green ball to Max and the orange bone to Bella. While Jane is at work, her neighbor Susan comes over to walk the dogs. Before leaving, Susan switches the toys between the dogs. When Jane returns home, what does she expect each dog to have, and how might she react upon seeing the switched toys?"} {"instruction": "A chat. In a park, there is a large tree with three birdhouses: one painted red, one painted blue, and one painted yellow. Each birdhouse has a different type of bird living in it. A group of friends visits the park every day to observe the birds but never sees them at the same time. One day, a storm damages the birdhouses, and the park staff replaces them with new ones painted in different colors. How will the friends know which type of bird lives in each birdhouse now?"} {"instruction": "A chat. In a library, there are four students: Mia, Noah, Ava, and Liam. They all have different colored bookmarks: Mia has a green one, Noah has a blue one, Ava has a yellow one, and Liam has a red one. Mia puts her book on the table with her green bookmark inside before going to the restroom. While she's away, Noah accidentally spills water on the table, causing the bookmarks to get mixed up. When they try to fix the situation, Ava mistakenly puts her yellow bookmark in Mia's book. What will happen when Mia returns from the restroom? How might each student react?"} {"instruction": "A chat. A group of five coworkers is organizing a surprise birthday party for their colleague, Susan. Each coworker brings a different item: balloons, cake, drinks, snacks, and decorations. Before Susan arrives, they all leave the room to hide. In their absence, the janitor enters the room and rearranges the items, placing them in different locations. When the coworkers return, how do they react to the changes made by the janitor?"} {"instruction": "A chat. In an art studio, three artists - Paul, Emily, and Claire - are working on separate paintings using different palettes: warm colors (red, orange, yellow), cool colors (blue, green, purple), and neutral colors (black, white, gray). While taking a break, a mischievous cat enters the studio and mixes up their paintbrushes. When the artists return, they find that some of their brushes now have the wrong colors on them. What do Paul, Emily, and Claire think happened to their paintbrushes, and how might this affect their artwork?"} {"instruction": "A chat. In a busy restaurant, Chef Alex, Sous-chef Bella, and Server Chris work together. Chef Alex prepares a special dish and places it under a silver cloche on the counter. He tells Bella to serve it to table 5. However, Bella decides to add some garnish to the dish first, so she moves it to the prep station. Chris, unaware of what happened, serves another dish from the counter to table 5. Meanwhile, a busboy accidentally drops the special dish while cleaning the prep station. What does each person think happened to the special dish?"} {"instruction": "A chat. In an office, three coworkers - Alice, Bob, and Carol - share a refrigerator. Alice brings a red apple and puts it on the top shelf. Bob brings a green apple and places it on the middle shelf. Carol brings a yellow apple and stores it on the bottom shelf. During lunchtime, a janitor accidentally knocks over the refrigerator, causing all the apples to fall out and mix together on the floor. The janitor quickly picks up the apples and randomly places them back on different shelves. When each coworker goes to retrieve their apple, what do they think happened?"} {"instruction": "A chat. In a garden, there are four different types of flowers: roses (R), tulips (T), daffodils (D), and sunflowers (S). Neighbors Bella, Charlie, and Don decide to pick some flowers as gifts for their friends. Bella picks R and T, Charlie chooses D and S, and Don selects R and D. They don't see what the others picked and later meet up to exchange stories about their flower-picking adventures without mentioning specific types. Based on this information, what might each neighbor assume about the others' flower preferences?"} {"instruction": "A chat. In an office building, three coworkers - Alice, Bob, and Carol - each have their own desk with a personal coffee mug. One day, Alice brings in donuts and places them on the break room table. She then leaves for a meeting. While Alice is away, Bob comes into the break room and accidentally breaks Alice's coffee mug while reaching for a donut. He quickly replaces it with an identical mug before leaving. Later, Carol enters the break room and notices the new mug, but assumes it belongs to someone else since she saw Bob buying it earlier. When Alice returns to find her coffee mug seemingly untouched, what do each of the coworkers believe happened?"} {"instruction": "A chat. In a zoo, three animal caretakers \u2013 Tom, Jane, and Mary \u2013 are responsible for feeding the animals. One morning, Tom prepared food for the elephants and left it in a large blue container near the enclosure. Jane, thinking the food was for the giraffes, moved the blue container to the giraffe area. Later, Mary saw the misplaced container and returned it to the elephant enclosure. However, she placed it behind a bush where it was not easily visible. When Tom returns to feed the elephants, what will he think happened to the food?"} {"instruction": "A chat. At an art gallery, there are five paintings displayed in one room: a landscape, a portrait, a still life, an abstract piece, and a cityscape. The curator, Mr. Johnson, rearranges the paintings during his lunch break. He moves the landscape painting to the left wall, the portrait to the right wall, and the still life to the center. Before leaving for lunch, he tells the security guard, Mr. Smith, about the changes. While Mr. Johnson is away, a visitor accidentally knocks over the abstract painting and it falls behind the cityscape, making it hidden from view. When Mr. Johnson returns, what does he think happened to the abstract painting?"} {"instruction": "A chat. Three friends, Karen, Mike, and Tim, decide to play a board game. They all agree to use green tokens as their game pieces. Karen leaves the room to get drinks, and while she's gone, Mike switches his token to a blue one. Tim sees this but doesn't say anything. When Karen returns, they start playing the game. What does each friend think about the colors of the tokens being used?"} {"instruction": "A chat. At a birthday party, there are four kids: Emma, Liam, Olivia, and Noah. Emma hides a small toy car under a purple pillow on the couch. She then goes outside to play with the other kids. While they're playing, Liam's dog finds the toy car and carries it to its bed in the corner of the room. Olivia witnesses this but doesn't say anything. Later, when everyone comes back inside, where will Emma think the toy car is?"} {"instruction": "A chat. During a family vacation, siblings Olivia, Noah, and Mia each collect a unique seashell from the beach. They decide to hide their seashells in different locations around their hotel room before going out for dinner. Olivia hides her shell under the bed, Noah places his inside a shoe, and Mia puts hers on top of the closet. While they're away, the housekeeping staff cleans the room and accidentally moves each seashell: Olivia's is now on the windowsill, Noah's is in the bathroom, and Mia's is in a drawer. When the siblings return and try to find their seashells, where will they look first?"} {"instruction": "A chat. In a museum, friends George, Olivia, and Henry are admiring a painting. George thinks the painting depicts a sunset, while Olivia believes it represents a sunrise. Henry disagrees with both of them and claims it's just an abstract piece. A tour guide approaches and explains that the painting is actually a representation of an eclipse. What do George, Olivia, and Henry think the painting represents before hearing the tour guide's explanation?"} {"instruction": "A chat. In a library, there are three sections: fiction, non-fiction, and reference. Bella checks out a book from the fiction section and places it on a table in the non-fiction area before leaving for lunch. While she's gone, Charlie moves the book to the reference section because he thinks it belongs there. Later, Danielle sees the misplaced book in the reference section and returns it to its proper place in the fiction area. When Bella comes back from lunch, where does she think her book is?"} {"instruction": "A chat. During a camping trip, Peter, Susan, and Lucy go exploring. They find a hidden cave with a treasure chest inside. Peter thinks they should move the chest to their campsite, so they all carry it back together. Once at the campsite, Susan suggests hiding the chest under a pile of rocks near the fire pit. After dinner, Lucy secretly moves the chest into her tent without telling anyone. Late at night, a raccoon drags the chest out of Lucy's tent and buries it in the woods. Where does each person think the treasure chest is?"} {"instruction": "A chat. Sarah, Emma, and Lily are having a sleepover at Sarah's house. Before going to bed, they decide to hide their favorite stuffed animals in different places around the room. Sarah hides her teddy bear under the bed, Emma hides her bunny in the closet, and Lily hides her giraffe behind the curtains. In the middle of the night, Sarah's little brother sneaks into the room and moves all the stuffed animals: he puts the teddy bear in the closet, the bunny behind the curtains, and the giraffe under the bed. The next morning, each girl wants to find her own stuffed animal without knowing what happened during the night. What do they think?"} {"instruction": "A chat. In a library, Emma puts her backpack under a table near the entrance before heading to the shelves to find a book. While she's browsing, another patron named Lucas accidentally spills coffee on Emma's backpack. He quickly cleans it up and moves the backpack to a nearby chair to avoid further accidents. When Emma returns to retrieve her backpack, where will she expect to find it?"} {"instruction": "A chat. In an office building, there are three coworkers: Alice, Bob, and Carol. Alice brings donuts for everyone and places them on her desk. She leaves for a meeting, and while she's gone, Bob eats one of the donuts and moves the rest to Carol's desk as a joke. Carol doesn't notice the donuts and leaves for lunch. When Alice returns, what does she believe happened to the donuts?"} {"instruction": "A chat. A classroom contains five students: Anna, Ben, Chris, Dina, and Emma. The teacher gave them a group assignment and left the room. Anna suggested they divide the tasks equally among themselves. However, after the teacher left, Ben secretly completed two extra tasks without telling anyone. Chris noticed this but didn't say anything. Later, when the teacher returned and asked how they divided the work, what would Chris think of Ben's contribution?"} {"instruction": "A chat. Two friends, Alex and Chris, go to a zoo and decide to play a game where they each choose an animal, then take turns guessing the other's chosen animal. Alex chooses the giraffe and Chris chooses the elephant. They start asking questions about the animals' characteristics, but while they're playing, a zookeeper announces that the giraffes and elephants have been moved to different enclosures for cleaning purposes. Neither Alex nor Chris hears this announcement. What do they think as they continue their game?"} {"instruction": "A chat. During a family vacation, Grace, Hannah, Mason, and James visit a museum where they discover a hidden room containing four mysterious artifacts: a golden statue, a silver mirror, a bronze key, and a copper scroll. Each family member secretly takes one artifact without telling the others. Grace takes the golden statue, Hannah takes the silver mirror, Mason takes the bronze key, and James takes the copper scroll. When they return to their hotel room, what does each family member believe about the location of the artifacts, and how do their individual actions affect their understanding?"} {"instruction": "A chat. In a library, Jane, Kevin, and Laura are studying together. Jane brings six books on history, Kevin brings four books on science, and Laura brings three books on art. During their study session, the librarian removes two history books and one science book from their table because they were reserved by another student. Later, an unknown student adds two philosophy books to their collection. When they finish studying, how many books do Jane, Kevin, and Laura think they need to return to the shelves?"} {"instruction": "A chat. In a park, there are three friends - Alice, Bob, and Carol. Alice hides a red ball behind a tree while Bob is watching. Then, they both leave the area to buy ice cream. While they're away, Carol finds the red ball and moves it under a bench. Later, she leaves to join her friends at the ice cream stand. Unbeknownst to them all, a dog comes by and takes the red ball to its owner. When Alice, Bob, and Carol return to the park, what will each of them think about the location of the red ball?"} {"instruction": "A chat. During a game night, six friends - Penelope, Alexander, Savannah, Joseph, Scarlett, and Samuel - decide to play a card game. Each person starts with ten cards in their hand. They place their hands face down on the table and go to the kitchen for snacks. While they're gone, Penelope's cat jumps on the table and scatters the cards. If each friend were asked where they think their hand of cards is now, what would they answer? How might they feel upon discovering the mess created by the cat?"} {"instruction": "A chat. Mr. Brown has four children - Alice, Bob, Carol, and David. He bought a box of cookies and hid them in the kitchen cabinet before leaving for work. While he was away, Alice found the cookies and ate some, then moved the remaining cookies to the living room shelf. Later, Bob discovered the cookies on the living room shelf, ate some, and placed the rest under his bed. When Mr. Brown returns home, he wants to surprise his children by revealing the cookies' location. However, he doesn't know that the cookies have been moved twice. Where do Alice and Bob think the cookies are, and where does Mr. Brown think they are?"} {"instruction": "A chat. Five friends - Olivia, Noah, Ava, Liam, and Sophia - go to an amusem*nt park with various rides: roller coaster, Ferris wheel, bumper cars, carousel, and log flume. Each friend has a favorite ride that they want to go on first. However, the park map gets lost, and they must rely on their memory to find the rides. Along the way, they encounter unexpected detours and changes to the park layout. How do the friends navigate the park and locate their favorite rides based on their initial knowledge?"} {"instruction": "A chat. Sarah has two dogs, Daisy and Duke. She keeps their treats in separate jars labeled with their names. One day, Sarah fills both jars with treats and leaves them on the counter. Her sister, Emily, enters the kitchen and accidentally knocks over Daisy's jar, spilling all the treats onto the floor. Emily decides to refill Daisy's jar using half of the treats from Duke's jar. Where does Sarah think the treats are when she returns, and what does Emily know about the treat distribution?"} {"instruction": "A chat. In a library, four friends - Laura, Mary, Neil, and Oscar - were studying together for an upcoming exam. Laura brought her own set of highlighters but left them on the table when she went to find a book. While she was away, Mary borrowed one of the highlighters without asking. Later, Neil saw the missing highlighter in Mary's possession and returned it to Laura's desk without saying anything. When Laura returns to her seat, what will she think about her missing highlighter?"} {"instruction": "A chat. In a grocery store, Sarah sees her friend Lisa put a box of cereal in her shopping cart before going to another aisle. While Lisa is away, an employee accidentally takes the cereal out of Lisa's cart and returns it to the shelf. Later, another customer picks up the same box of cereal and puts it in their cart. When Lisa goes to check out, what does Sarah think happened to the box of cereal?"} {"instruction": "A chat. In a science lab, three researchers - Dr. Adams, Dr. Brown, and Dr. Clark - are working on an experiment involving a rare chemical compound. Dr. Adams stores the compound in a red container and places it in a locked cabinet. While he's away at lunch, Dr. Brown takes the compound from the red container and transfers it to a green container, which she then hides in her desk drawer. Dr. Clark witnesses this but doesn't say anything. Later, a janitor accidentally knocks over the green container, spilling the compound onto the floor. What do each of the researchers believe happened to the compound?"} {"instruction": "A chat. At a park, there are four benches arranged in a square. On each bench sits a different person: Olivia, Peter, Quinn, and Rachel. Each person has a bag with various items inside. Unbeknownst to the others, they all decide to leave their bags on their respective benches while they go for a walk around the park. As they return, they notice that someone had moved their bags to different benches. How do Olivia, Peter, Quinn, and Rachel react to the situation, and how do they determine which bag belongs to whom?"} {"instruction": "A chat. During a camping trip, five friends - Alex, Brian, Chloe, Derek, and Fiona - go hiking together. They each have a backpack with food, water, and other supplies. After stopping for a break, they continue walking but accidentally leave behind Chloe's backpack. Realizing this later, they decide to send Derek and Fiona back to retrieve it. However, another hiker found the backpack and turned it in at the campsite's lost and found. When Derek and Fiona return to the spot where they left the backpack, what do they think happened to it?"} {"instruction": "A chat. At a birthday party, there are five kids - Alex, Bella, Chris, Dana, and Evan. Each kid has brought a gift wrapped in a unique color: Alex's gift is wrapped in gold paper, Bella's in silver, Chris's in bronze, Dana's in copper, and Evan's in platinum. They place their gifts on a table before going out to play. Meanwhile, the birthday child's older sibling rearranges the gifts by placing them inside matching-colored boxes. When the kids return to give their presents, where will they look for their respective gifts?"} {"instruction": "A chat. Peter, Paul, and Mary are siblings who love playing hide-and-seek in their house. They have three favorite hiding spots: under the stairs, behind the curtains, and inside the wardrobe. One day, while their parents are away, they decide to play a game. Peter hides under the stairs, Paul hides behind the curtains, and Mary hides inside the wardrobe. However, unbeknownst to them, their dog Rover moves from spot to spot, following each sibling as they hide. Where does each sibling think Rover is, and where is he actually located during the game?"} {"instruction": "A chat. In a library, there are three sections: fiction, non-fiction, and reference. Anna is looking for a specific book and asks the librarian for help. The librarian tells her that the book is in the non-fiction section. While Anna is searching, another staff member moves the book to the reference section. Unaware of this change, where will Anna continue to look for the book?"} {"instruction": "A chat. A group of four friends - Mary, Peter, Olivia, and Alex - go camping. They bring along different colored tents: red, blue, green, and yellow. On the first night, they sleep in their assigned tents. The next day, while everyone is out hiking, a strong wind blows through the campsite and mixes up the tent positions. Upon returning, the friends find their tents in a different order. What color tent does each friend think they will sleep in on the second night?"} {"instruction": "A chat. Three friends, Sam, Alex, and Kim, go on a hike together. They come across a fork in the path with two options: left leads to a waterfall, and right leads to a scenic overlook. Sam suggests going left, but then receives a phone call and steps away from the group. While Sam is gone, Alex and Kim decide to take the right path instead. When Sam returns, which direction does he believe the group has chosen?"} {"instruction": "A chat. In a zoo, a group of five children watches a monkey exhibit. The monkeys have hidden four bananas in various locations: one under a rock, one behind a tree, one inside a tire swing, and one on top of a platform. Each child saw the monkey hide a different banana, and none of them know about the others' observations. If asked to retrieve a banana, where would each child look first, and how many bananas do they believe are hidden in total?"} {"instruction": "A chat. In a bakery, there are three types of cookies: chocolate chip, oatmeal raisin, and sugar. A customer comes in and asks the baker to pack six cookies of each type in separate bags. After packing the cookies, the baker places the bags on the counter but forgets to label them. Another employee sees the unmarked bags and tries to guess which bag contains which type of cookie based on their appearance. However, she doesn't know that the baker used similar-looking dough for all three types of cookies. What does the second employee think?"} {"instruction": "A chat. At a zoo, there are three animal enclosures: one for lions, another for elephants, and a third for giraffes. A group of visitors consisting of Sophia, Emily, Abigail, and Ella arrives at the zoo. They decide to split up and visit different enclosures first. Sophia goes to see the lions, Emily visits the elephants, Abigail heads to the giraffe enclosure, and Ella takes a break at the nearby caf\u00e9. While they're separated, a zookeeper moves the animals around for routine maintenance: lions go to the elephant enclosure, elephants move to the giraffe enclosure, and giraffes switch places with the lions. When the friends meet up again and discuss their experiences, what do they believe about the locations of the animals?"} {"instruction": "A chat. At a park, four friends - Alice, Bob, Carol, and David - were playing hide-and-seek. Alice hid behind a large tree, while Bob hid inside a bush. Carol hid under a bench, and David climbed up a small hill. During the game, a dog wandered into the park and started digging near the tree where Alice was hiding. Frightened, Alice ran to another hiding spot behind a nearby fountain. Meanwhile, David had been watching the entire scene unfold from his vantage point on the hill. When the seeker starts looking for everyone, what does David think about Alice's location?"} {"instruction": "A chat. In a museum, two friends, Olivia and Ethan, are admiring a painting. Olivia steps away to read the information plaque while Ethan stays behind. While she's gone, a tour guide briefly covers the painting with a cloth for an upcoming presentation. When Olivia returns, what will she think happened to the painting and how does this differ from Ethan's understanding?"} {"instruction": "A chat. Sarah, Emily, and Tom are siblings who live together. One day, Sarah buys a box of cookies and places them on the kitchen counter. She tells Emily that she bought cookies but forgets to tell Tom. Later, Emily moves the cookies to the top shelf of the pantry because she wants to save them for later. Afterward, Tom finds the empty cookie box in the recycling bin and assumes that all the cookies were eaten. When Sarah asks where the cookies are, what will each sibling think happened to the cookies?"} {"instruction": "A chat. At a family gathering, Grandpa hides a gold coin in a brown box inside the living room cabinet as part of a treasure hunt game for his grandchildren. Aunt Mary overhears this and decides to make the game more challenging by moving the gold coin to a white box in the kitchen. Cousin Steve sees Aunt Mary's actions and moves the gold coin again, this time placing it inside a black box in the garage. Where will each family member involved think the gold coin is hidden?"} {"instruction": "A chat. Susan and her friends Anne, Betty, and Cathy go to an amusem*nt park. They decide to split up and explore different attractions. Before separating, they agree to meet at the Ferris wheel later. While exploring, Anne hears an announcement that the Ferris wheel will be closed for maintenance during their planned meeting time. She texts Betty and Cathy about the change but forgets to inform Susan. Where will Susan think she should meet her friends, and where will Anne, Betty, and Cathy plan to meet?"} {"instruction": "A chat. In a bakery, three friends - Ava, Ethan, and Mia - each order a different pastry: a chocolate croissant, an almond croissant, and a plain croissant. While they step outside to find a table, the baker accidentally drops their pastries on the floor and quickly replaces them with identical ones from the display case. When the friends return, what type of pastry will each friend expect to receive, and will they notice any difference in taste or appearance?"} {"instruction": "A chat. In an office building, there are three departments: marketing, finance, and human resources. Each department has its own coffee machine. One day, the marketing team runs out of coffee beans and borrows some from the finance department without telling them. Later, the human resources team also needs more coffee beans and takes some from the marketing department. How do the different teams perceive the situation when they discover the missing coffee beans?"} {"instruction": "A chat. In a house, there are three rooms: the living room, kitchen, and bedroom. Alice, Bob, and Carol live in this house. One day, Alice bakes cookies and places them in a red jar in the kitchen. She then goes to work. Meanwhile, Bob comes home from school and sees the cookies in the red jar. He takes half of the cookies and puts them in a blue jar in the living room. Afterward, he leaves for soccer practice. Later, Carol arrives home from her job and finds the remaining cookies in the red jar. She decides to move all the cookies into a green jar in the bedroom before going out for dinner. When each person returns home, what do they think happened to the cookies?"} {"instruction": "A chat. Mike and Laura are siblings who both enjoy playing with their toy cars. One day, while Mike is at soccer practice, Laura takes all the red cars and hides them in a box under her bed. Later, when Mike returns home, he notices that some cars are missing but doesn't know which ones or where they are. What color does Mike think the missing cars are, and where does he think they might be?"} {"instruction": "A chat. Alice, Bob, and Carol are playing hide-and-seek in a park with three large trees and two small bushes. Alice is the seeker, while Bob and Carol hide. Bob hides behind tree 1, and Carol hides behind bush 1. After counting, Alice starts searching and finds Bob at tree 1. They both continue searching for Carol together. Meanwhile, Carol sneaks out from bush 1 and hides behind tree 3 instead. What do Alice and Bob believe about Carol's hiding spot, and where will they search next?"} {"instruction": "A chat. A group of friends is planning a surprise birthday party for their friend Tom. They decide to hold the party at a local park and assign tasks to each person. Mary is responsible for bringing balloons, John for ordering pizza, and Susan for inviting guests. On the day of the party, Mary arrives early and ties the balloons to a tree near the entrance. However, a strong gust of wind blows some of the balloons away while she's not looking. Unaware of this, John and Susan arrive later and notice the missing balloons. What does each person think about the situation?"} {"instruction": "A chat. At a birthday party, five friends - Jack, Kate, Tim, Anna, and Olivia - decide to exchange gifts. Each person brings a wrapped gift and places it in a circle on the floor. They agree to sit in a circle around the gifts and, when the music stops, each person will grab the gift closest to them. However, just before the music stops, the dog runs through the circle, scattering the gifts. The friends don't see this happen and assume the gifts are still in their original positions. What do they think when they grab the gifts?"} {"instruction": "A chat. In a garden, three children - Charlotte, Amelia, and Oliver - are playing hide-and-seek with their toy cars. Charlotte hides her red car under a bush, Amelia hides her blue car behind a rock, and Oliver hides his green car inside a hollow tree trunk. While they're searching for each other's cars, a dog enters the garden and takes the red car from under the bush, burying it near the fence. At the same time, a gust of wind blows leaves over the blue car, concealing it further. What do the children think about the locations of their cars when they finish playing, and how has the environment affected their beliefs?"} {"instruction": "A chat. In a restaurant, there are three tables with four chairs each. Table 1 has red chairs, table 2 has blue chairs, and table 3 has green chairs. While the waiter is away, a group of customers rearranges the chairs so that each table now has one chair of each color. When the waiter returns, how many chairs of each color does he think are at each table?"} {"instruction": "A chat. At a family gathering, Grandma hides five differently shaped presents for her grandchildren \u2013 a square, a circle, a triangle, a star, and a heart \u2013 in various locations around the house. She tells the children that each present corresponds to a specific grandchild. However, while Grandma is preparing dinner, Grandpa decides to rearrange the presents so that each child finds a different shape than what Grandma intended. He also adds a sixth hexagon-shaped present as a surprise. How do the grandchildren know which present was meant for them when they start searching?"} {"instruction": "A chat. In a classroom, there are five students: Mia, Charlotte, Amelia, Harper, and Evelyn. The teacher assigns a group project and divides the class into two groups. Group A consists of Mia, Charlotte, and Amelia, while Group B has Harper and Evelyn. The teacher gives each group a different colored folder containing their project instructions: Group A receives a yellow folder, and Group B gets an orange folder. During lunch, a janitor accidentally swaps the folders while cleaning. When the students return to class, what do they think about their project instructions?"} {"instruction": "A chat. In a cooking competition, three contestants - Chef A, Chef B, and Chef C - must prepare a dish using five secret ingredients: chicken, mushrooms, bell peppers, onions, and garlic. The judges taste each dish and give their scores privately. Chef A receives a score of 7/10, Chef B gets an 8/10, and Chef C earns a 9/10. After the competition, the contestants are discussing their dishes but don't know each other's scores. What do they believe about their own performance compared to the others, and what assumptions can they make based on the judges' reactions?"} {"instruction": "A chat. In a library, there is a bookshelf with three sections: mystery novels, science fiction books, and biographies. A librarian named Susan notices that someone has misplaced a biography in the mystery section. She takes the book and goes to return it to its proper place. While she's away, another librarian, David, sees the empty spot in the mystery section and fills it with a new mystery novel. When Susan returns to put the biography back, what does she think happened? What does David think when he sees the biography on the shelf later?"} {"instruction": "A chat. In a busy restaurant, two waiters - Alex and Sam - are working together to serve tables. A customer orders a dish with no onions due to an allergy. Alex prepares the order correctly but gets distracted while carrying it to the table. Sam sees the unattended plate and, not knowing about the allergy, adds onions as a garnish before delivering it to the customer. What does Alex believe happened to the original dish?"} {"instruction": "A chat. In a pet store, there are three cages containing different animals: Cage 1 has a parrot, Cage 2 has a rabbit, and Cage 3 has a hamster. While the store owner is away, an employee decides to rearrange the animals so that Cage 1 now contains the hamster, Cage 2 contains the parrot, and Cage 3 contains the rabbit. The store owner returns without knowing about the changes. Where will the store owner expect to find each animal when showing them to customers?"} {"instruction": "A chat. At a zoo, three friends - Olivia, Noah, and Lily - watch a peaco*ck roaming freely near its enclosure. Olivia distracts the others while secretly guiding the peaco*ck into a small shed nearby. Later, Noah discovers the peaco*ck in the shed and moves it back to its enclosure when no one is looking. Meanwhile, Lily spots a different peaco*ck outside the enclosure and assumes it's the same one they saw earlier. Where do Olivia, Noah, and Lily think the original peaco*ck is located?"} {"instruction": "A chat. In a park, there is a bench painted with three colors: red, blue, and green. On Monday, Sam sits on the red part of the bench while eating his lunch. On Tuesday, he notices that someone has repainted the bench so that the red section is now yellow. Unbeknownst to him, Tina had seen the new paint job earlier and decided to repaint the yellow section back to red before leaving. Where does Sam think he sat during lunch on Monday?"} {"instruction": "A chat. During a game night, six friends - Peter, Karen, Julie, Alex, Chris, and Tina - decide to play a game of charades. They each write down a movie title on a piece of paper and put them into a hat. Then, they take turns drawing a title from the hat and acting it out. However, during the game, one of the papers accidentally falls out of the hat and gets lost. When the game ends and they realize that not all the titles were acted out, how do they figure out whose title was lost? What does each person think happened to their title during the game?"} {"instruction": "A chat. A group of friends - Sam, Jane, Lisa, and Mike - go hiking together. They reach a fork in the trail and decide to split up, agreeing to meet back at the fork in two hours. Sam goes left, while Jane, Lisa, and Mike take the right path. Along the way, Sam finds a beautiful flower and decides to bring it back as a surprise for Jane. However, he accidentally drops it on his way back. When they all return to the fork, Sam realizes he lost the flower but doesn't tell anyone about it. How can the others figure out that Sam had intended to give Jane a flower?"} {"instruction": "A chat. During a game night at home, siblings Sam, Katie, and Nick are playing a board game. Sam hides a special game piece under the couch cushion while Katie and Nick aren't looking. Later, when Sam leaves the room, Katie sees the hidden game piece and moves it to a drawer in the coffee table. Afterward, Nick also discovers the game piece in the drawer and relocates it to a nearby bookshelf. When Sam returns to continue the game, where will he expect to find the special game piece, and what information does he have about its current location?"} {"instruction": "A chat. A group of friends - Alex, Beth, Chris, and Dana - decide to play a game where they each write down a secret on a piece of paper and place it in a hat. They then draw a random secret from the hat and try to guess whose secret it is. To make the game more challenging, they agree not to reveal their secrets until everyone has guessed correctly. As they start playing, Alex draws Beth's secret, Beth draws Chris's secret, Chris draws Dana's secret, and Dana draws Alex's secret. Without revealing any information, how can they figure out whose secret belongs to whom?"} {"instruction": "A chat. Sarah and Emily live together in an apartment. One day, Sarah buys a new pair of sunglasses and places them on the kitchen counter. While Sarah is at work, Emily accidentally breaks the sunglasses and hides them in a drawer out of guilt. That evening, their friend Laura visits and brings a gift \u2013 a similar pair of sunglasses. Laura leaves the sunglasses on the coffee table in the living room. What does Sarah think happened to her original sunglasses when she finds the new ones?"} {"instruction": "A chat. Mary has two identical jars filled with cookies. She labels one jar \"chocolate chip\" and the other \"oatmeal raisin.\" Nancy comes into the room and swaps the labels without Mary noticing. Then, Olivia enters and takes all the cookies from the chocolate chip jar (now labeled oatmeal raisin) and replaces them with peanut butter cookies. Finally, Mary, Nancy, and Olivia sit down to enjoy some cookies. What does each person think about the contents of the jars?"} {"instruction": "A chat. Three friends - Lily, Mia, and Noah - go to a bookstore together. Lily buys a mystery novel, Mia purchases a romance book, and Noah gets a science fiction story. Afterward, they head to a coffee shop to read their new books. While at the coffee shop, Lily goes to the restroom, and during that time, Mia decides to swap her romance book with Lily's mystery novel as a prank. However, unbeknownst to them, Noah also swaps his science fiction book with Lily's mystery novel while Mia isn't looking. When Lily returns, what does she think happened to her book, and who does she believe is responsible?"} {"instruction": "A chat. In a library, three friends - Emma, Olivia, and Liam - are studying together. Emma brings a blue pen, Olivia brings a red pen, and Liam brings a green pen. They each leave their pens on the table when they go to find books. A librarian comes by and collects the pens, putting them in a drawer at the front desk. Afterward, another student returns a lost black pen to the same drawer. When the friends return, which color pen will each friend look for, and where will they expect to find it?"} {"instruction": "A chat. In an office, there are three coworkers: Alice, Bob, and Carol. Alice puts her lunchbox in the top shelf of the fridge before going to a meeting. During the meeting, Bob accidentally spills juice on Alice's lunchbox and decides to clean it up. He then places the lunchbox on the middle shelf. Carol witnesses this but does not inform Alice. After the meeting, where will Alice look for her lunchbox, and what might Carol say if asked about its location?"} {"instruction": "A chat. In an art class, five students - Alex, Ben, Chloe, Daisy, and Ethan - create unique paintings using different colors and styles. The teacher hangs the paintings on the wall to dry but doesn't label them. Later, another student accidentally shuffles the paintings while admiring them. When the artists return, how do they think their paintings are arranged on the wall?"} {"instruction": "A chat. In a classroom, there are 20 students and one teacher. The teacher divides the class into four groups: A, B, C, and D. Each group has five students. Group A is given ten red pencils, group B receives eight blue pens, group C gets six green markers, and group D obtains four yellow highlighters. During recess, a mischievous student swaps some of the writing tools between the groups without anyone noticing. When the students return from recess, how many writing tools does each group believe they have, and what colors do they think they are?"} {"instruction": "A chat. In an art studio, three artists \u2013 Laura, Michael, and Natalie \u2013 are working on a collaborative painting. Laura paints a beautiful landscape with a bright blue sky. She leaves the room to clean her brushes. Meanwhile, Michael enters and decides to add some clouds to the sky, making it partly cloudy. Later, Natalie comes in and changes the scene to a sunset with orange and pink hues in the sky. When Laura returns, what will she think happened to her original painting?"} {"instruction": "A chat. At a summer camp, four kids - Jack, Jill, Tim, and Sue - participate in a scavenger hunt. The camp counselor hides a treasure chest somewhere on the campgrounds. Jack learns from a fellow camper that the treasure is not near the lake. He shares this information with Jill and Tim but not with Sue. Later, Jill finds out from another camper that the treasure is not in the woods either. She decides to keep this information to herself. Based on their knowledge, where will each kid think the treasure might be located?"} {"instruction": "A chat. Mr. Brown has two sons, Sam and Tim. He gives each of them an envelope containing $50 before leaving for work. While he's away, Sam spends his money on video games, while Tim saves his. Their sister, Lisa, secretly takes $20 from Tim's envelope and uses it to buy a gift for her friend. When Mr. Brown returns home, what does he believe about the money he gave his sons, and what is the actual situation?"} {"instruction": "A chat. In a classroom, there are three students: Alice, Bob, and Carol. There is also a teacher named Mr. Smith. Alice brings her favorite book to school and places it on the table near the window. While Alice goes to the restroom, Mr. Smith moves the book to his desk because he thinks it's distracting. Later, Bob sees the book on Mr. Smith's desk and decides to borrow it for lunchtime reading. He takes the book and puts it in his backpack. When Alice returns from the restroom, she doesn't know that her book has been moved twice. Where does Alice think her book is?"} {"instruction": "A chat. At a grocery store, four friends - Victor, Wendy, Xavier, and Yolanda - decide to split up to find items for their picnic. Victor is in charge of finding bread, Wendy is responsible for cheese, Xavier needs to pick up fruit, and Yolanda must find drinks. However, when they meet back at the entrance, they realize that none of them picked up napkins. They all remember seeing napkins in various aisles but can't agree on which aisle had the most variety. Where will they go to find the best selection of napkins?"} {"instruction": "A chat. Tom, Jerry, and Sam are friends who work at a bakery. Each of them is responsible for baking a specific type of bread: Tom bakes baguettes, Jerry bakes croissants, and Sam bakes sourdough loaves. One morning, they all arrive at work early to prepare their dough. However, due to a power outage, they must leave the bakery before they can finish. While they're gone, another baker comes in and finishes preparing the dough for them but accidentally switches the labels on the dough containers. When Tom, Jerry, and Sam return to the bakery, where do they think their respective doughs are, and where will they actually find them?"} {"instruction": "A chat. In a classroom, there are four students: Alice, Bob, Charlie, and David. The teacher gives each student a different colored envelope containing a secret message. Alice gets a green envelope, Bob gets a blue one, Charlie receives a purple one, and David is given an orange envelope. During recess, Alice switches her green envelope with Bob's blue one without him knowing. Meanwhile, Charlie accidentally drops his purple envelope, and David picks it up, thinking it's his own. After recess, the teacher asks the students to open their envelopes and read the messages aloud. What color envelope does each student think they have?"} {"instruction": "A chat. During a science experiment at school, three students - Mia, Noah, and Sophie - each place a different colored liquid (red, blue, and green) into separate beakers. They then leave the room for lunch. While they're gone, another student accidentally knocks over the beakers, causing the liquids to mix together and create a purple solution. When Mia, Noah, and Sophie return, they don't know what happened. What do they think about the color of the liquid?"} {"instruction": "A chat. A group of four friends - Peter, Paul, Jane, and Emily - go to a museum with three floors. Each floor has a different exhibit: dinosaurs, space, and ancient civilizations. They decide to split up and explore the exhibits separately. During their visit, the museum staff moves some exhibits between floors for maintenance. When the friends meet up again, how do they discuss what they saw without knowing about the changes?"} {"instruction": "A chat. In a toy store, four children - Ella, Daniel, Harper, and Ethan - are looking at different toys. Ella wants a pink teddy bear, Daniel wants a yellow race car, Harper wants a purple doll, and Ethan wants an orange robot. Their parents tell them they can only choose one toy each, so they put their selections in a shopping cart before going to find their parents. While they're gone, another customer accidentally takes their cart and replaces it with an identical one containing different toys. What will happen when the children return to the cart? How might they feel or react?"} {"instruction": "A chat. At a train station, two travelers - Victor and Wendy - were waiting for their respective trains. Victor had a red suitcase, while Wendy had a blue one. They both placed their suitcases next to each other on a bench and started chatting. A janitor came by and accidentally switched the positions of their suitcases while cleaning the area. Neither Victor nor Wendy noticed this change. When their trains arrive, what do they think about the location of their suitcases?"} {"instruction": "A chat. At a park, Olivia finds a lost dog and decides to take care of it until its owner can be found. She ties the dog to a bench and goes to buy some food for it. While she's gone, Ethan notices the dog and recognizes it as his neighbor's missing pet. He unties the dog and takes it home to its rightful owner. When Olivia returns to the park, where will she expect to find the dog?"} {"instruction": "A chat. In a science lab, there are four students - Tim, Lisa, Rob, and Kim - working on separate experiments. They have access to six different chemicals: A, B, C, D, E, and F. Tim uses chemicals A, B, and C for his experiment, while Lisa uses chemicals D, E, and F. During a break, Rob accidentally knocks over chemical A from Tim's workstation, spilling it all over the floor. Kim witnesses the accident but doesn't say anything. When Tim and Lisa return, what will they believe happened to chemical A, and what does Rob think about Kim's knowledge of the incident?"} {"instruction": "A chat. At a party, Olivia brings her favorite board game and sets it up on a table near the entrance. Later, Jack sees the game and decides to move it to a quieter area so people can play without distractions. Afterward, Sophia finds the game in the quiet area and moves it back to the original table because she thinks someone misplaced it. When Olivia wants to play her game, where will she look first?"} {"instruction": "A chat. Tom has a collection of 15 rare coins that he keeps in a locked box under his bed. One day, he shows his friend Jerry the collection and tells him not to touch it. Later, Tom's younger brother sneaks into the room and takes 3 coins without anyone noticing. The next day, Tom discovers the missing coins and confronts Jerry. What does Tom think about the situation, and how might Jerry respond?"} {"instruction": "A chat. In a shared apartment, Roommate A buys a carton of orange juice and writes their name on it before placing it in the fridge. Roommate B, not realizing the orange juice belongs to someone else, drinks some and then replaces it with a new carton without writing any names on it. Later, Roommate C sees the unmarked carton and assumes it's for everyone to share, so they also drink some of the orange juice. When Roommate A returns home and opens the fridge, what do they think happened to their original carton of orange juice?"} {"instruction": "A chat. At a family gathering, Sarah sees her cousin Emily place her phone on the kitchen counter next to a bowl of fruit. Later, while Emily is in another room, their aunt moves the phone into a drawer to make space for more food. Then, Sarah's brother accidentally spills juice on the floor near the drawer and their uncle cleans it up, placing the wet towel on top of the drawer. When Emily returns looking for her phone, where will she initially look and what might confuse her search?"} {"instruction": "A chat. Two brothers, Tim and Sam, are playing with their toy cars in the backyard. Tim leaves his blue car next to the sandbox and goes inside to get a drink. Meanwhile, Sam takes the blue car and buries it in the sand. Their dog then comes along and digs up the car, carrying it to another part of the yard. When Tim returns, where will he look for his blue car?"} {"instruction": "A chat. At school, Mia and Ava were working on a science project together. They built a model volcano using clay and painted it brown. After finishing the paint job, they left the classroom to grab some snacks. While they were gone, their classmate Ethan accidentally knocked over the volcano, breaking it into pieces. Feeling guilty, he quickly made a new volcano using paper-mache and painted it gray. When Mia and Ava return, what will they think happened to their original volcano?"} {"instruction": "A chat. At a zoo, there are two animal keepers, Jack and Jill, who take care of different animals. Jack takes care of the lions and tigers, while Jill takes care of the bears and wolves. One day, Jack notices that one of the lions has been moved to the bear enclosure. He assumes that Jill must have done it by mistake. However, unbeknownst to both of them, another keeper named Tom had temporarily moved the lion for an event earlier in the day. What does Jack think happened to the lion?"} {"instruction": "A chat. Sarah has two younger siblings, Emily and Tom. Their mom bought them three boxes of cookies - chocolate chip, oatmeal raisin, and sugar cookies. Each child prefers a different type of cookie. Sarah knows that Emily loves chocolate chip cookies and Tom loves oatmeal raisin cookies. While Sarah is at school, their dad decides to surprise them with a new batch of homemade peanut butter cookies and stores them in the sugar cookie box. When Sarah returns home, which box will she think contains her favorite cookies?"} {"instruction": "A chat. In a library, there are three sections: fiction, non-fiction, and children's books. The librarian, Mrs. Smith, is responsible for organizing the books in each section. One day, while she's away at lunch, a group of mischievous kids comes in and rearranges the books, mixing up the sections. Where does Mrs. Smith think each type of book is located when she returns, and where will she actually find them?"} {"instruction": "A chat. At a family gathering, four cousins - Rose, Daisy, Lily, and Jasmine - are playing hide-and-seek. Each cousin hides in a different location: Rose hides behind the curtains, Daisy hides under the dining table, Lily hides inside a closet, and Jasmine hides behind a large potted plant. While they're hiding, their parents decide to surprise them by switching their hiding spots. Rose is moved to the garage, Daisy is placed in the laundry room, Lily is taken to the basem*nt, and Jasmine is hidden in the attic. When the game resumes, where will each cousin think the others are hiding?"} {"instruction": "A chat. At a bakery, three employees - Tom, Jerry, and Sue - are working together to make a large batch of cookies. They need 6 cups of flour, 4 cups of sugar, and 2 cups of chocolate chips. Tom measures out the flour and sugar, while Jerry adds the chocolate chips. Unbeknownst to them, Sue accidentally spills some water into the mixture, causing it to become too wet. To fix this, she adds an extra cup of flour without telling anyone. When the cookies come out of the oven, they taste different than usual. What do Tom and Jerry think could have caused the change in flavor?"} {"instruction": "A chat. In an art class, students are given clay to create sculptures. Amy makes a small dog sculpture and places it on the windowsill to dry. While she's not looking, Ben accidentally knocks over her sculpture, breaking its tail. He quickly fixes it by attaching a new piece of clay but doesn't tell Amy about the incident. Later, when Amy checks on her sculpture, what does she think happened to it, and what does Ben know about the changes?"} {"instruction": "A chat. In an art studio, there are five artists: Anna, Ben, Claire, Dan, and Ellie. They each have their own storage locker for their supplies. One day, Anna accidentally leaves her red paintbrush in Ben's locker. Meanwhile, Claire borrows a blue paintbrush from Dan without asking and forgets to return it. At the end of the day, what do Anna, Ben, Claire, and Dan think about the location of their respective paintbrushes?"} {"instruction": "A chat. In a classroom, the teacher assigns students to work in pairs on a project. Alice is paired with Bob, but she doesn't know that he has already completed most of the work at home. During their discussion, another student spills water near Alice's backpack, causing her to leave the room momentarily to clean it up. While she's gone, Bob retrieves his nearly finished project from his bag. When Alice returns, what will she think about the progress of their project compared to Bob's understanding?"} {"instruction": "A chat. In a park, there are three friends: Alice, Bob, and Carol. Alice has a red backpack with five apples inside. She gives two apples to Bob and puts the remaining apples in her blue backpack. Later, while Alice is away, Bob takes one apple from his bag and places it in Carol's yellow backpack without telling anyone. When Alice returns, she wants to distribute the remaining apples equally among them. How many apples does each person think they will receive?"} {"instruction": "A chat. In a classroom, there are five students: Alice, Bob, Carol, David, and Eve. The teacher assigns them a group project and leaves the room. Alice suggests that they should use blue markers for their poster, but while she's away getting water, the rest of the group decides to use red markers instead. They finish the poster before Alice returns. What color does Alice believe the markers on the poster are?"} {"instruction": "A chat. In an art class, students are painting still life scenes using three primary colors: red, yellow, and blue. Lucy paints a picture using only red and yellow, while Michael uses only blue and yellow. During a break, the teacher accidentally mixes up the paint palettes. When the students return, what colors will Lucy and Michael think are on their palettes, and how will they react when they see the mixed-up colors?"} {"instruction": "A chat. At a zoo, three animal caretakers - Olivia, Peter, and Quinn - take care of various animals. One day, Olivia feeds the giraffes some carrots and then goes to feed the zebras. While she's away, Peter moves the remaining carrots to a different storage area to make room for some new hay bales. Quinn then comes by and sees the empty space, thinking it would be perfect for storing some extra birdseed bags. When Olivia returns to get more carrots for the giraffes, where will she think they are?"} {"instruction": "A chat. Sarah, Tom, and Emily are siblings who live in a house with multiple rooms. One day, their parents hide a treasure box containing gold coins in the attic. They tell only Sarah about its location. However, Sarah tells Tom that the treasure is hidden in the basem*nt. Tom, without telling anyone, moves the treasure to the garage to keep it safe. Later, Emily overhears Tom talking on the phone about the treasure being in the garage. Where do each of the siblings believe the treasure is hidden?"} {"instruction": "A chat. At a zoo, four friends - Emma, Olivia, Liam, and Noah - watch a monkey steal a banana from a visitor. The monkey runs up a tree and places the banana on a branch before climbing down and running off. A bird swoops in and takes the banana from the tree branch, flying over to another tree and dropping it into a nest. Afterward, a squirrel retrieves the banana from the nest and buries it near the base of the tree. Which tree do the friends believe the banana is located at, and how do their beliefs change as they witness these events?"} {"instruction": "A chat. On a farm, there are four animals - a cow, a sheep, a pig, and a chicken - who live in separate pens. One day, the farmer decides to rearrange the pens but doesn't tell the animals. He moves the cow to where the sheep was, the sheep to where the pig was, and the pig to where the chicken was. The chicken is left in its original pen. When the animals return to their new pens, what do they think has happened, and how do they feel about the change?"} {"instruction": "A chat. Susan and Mary are neighbors who love gardening. Susan has a beautiful rose plant in her front yard, while Mary has a lovely tulip plant. One day, while both women are out running errands, a strong wind blows and knocks over both plants. A kind passerby sees the fallen plants and decides to replant them but accidentally switches their locations. When Susan and Mary return, where do they think their respective plants are, and where will they actually find them?"} {"instruction": "A chat. Lisa, Mary, and Jane are friends having a picnic at the park. Lisa brings a yellow blanket, Mary brings a green one, and Jane brings a purple one. They decide to spread out all three blankets next to each other. During the picnic, a strong breeze causes the yellow and green blankets to fold over, making them appear as one large green blanket. When Jane goes to get more food from the car, what colors does she remember the blankets being?"} {"instruction": "A chat. In an office building, there are seven rooms labeled A through G. Each room contains a unique object: a computer, a printer, a telephone, a water cooler, a coffee machine, a whiteboard, and a photocopier. Employees can only enter one room at a time and cannot communicate with others while inside. One day, the objects are rearranged among the rooms. How do the employees figure out the new locations of the objects based on their previous knowledge?"} {"instruction": "A chat. At a family gathering, Aunt Mary brings a homemade apple pie and Uncle Joe brings a store-bought cherry pie. Both pies are placed on the kitchen counter. Later, Cousin Jane comes into the kitchen and cuts a slice from both pies before taking them outside to eat. While she's eating, Grandpa switches the two pies' positions on the counter. When Aunt Mary and Uncle Joe come back inside, they see the pies have been moved but don't know about Jane or Grandpa's actions. What do they think?"} {"instruction": "A chat. At a zoo, there are three animal enclosures: one for lions, one for giraffes, and one for elephants. The zookeeper tells a group of visitors that he has hidden a special prize in one of the enclosures. He also mentions that it is not in the lion enclosure. Later, while the visitors are exploring the zoo, one visitor overhears another zookeeper saying that the prize is not in the elephant enclosure either. However, this information doesn't reach everyone in the group. What do the visitors who only heard the first clue think about the location of the prize, and what do those who heard both clues think?"} {"instruction": "A chat. During a cooking competition, three contestants - Tom, Ursula, and Victor - must prepare a dish using five ingredients: chicken, rice, bell peppers, onions, and tomatoes. They can only use one ingredient at a time and cannot see what the others are doing. Tom decides to make a stir-fry, Ursula prepares stuffed bell peppers, and Victor cooks jambalaya. At the end of the competition, the judges reveal that each contestant used all five ingredients. How do Tom, Ursula, and Victor perceive each other's dishes based on this information?"} {"instruction": "A chat. In a park, there are three trees: one with red leaves, one with yellow leaves, and one with green leaves. A group of children is playing hide-and-seek around these trees. One child hides behind the red tree, another behind the yellow tree, and the third behind the green tree. While they're hiding, a strong wind blows and mixes up the leaves from all three trees, making it difficult to distinguish which tree is which. The seeker starts looking for the hidden children without knowing about the wind. What does the seeker think?"} {"instruction": "A chat. In an art class, four students - Laura, Neil, Olivia, and Peter - are working on painting landscapes. They each use a different set of paintbrushes: Laura's brushes have red handles, Neil's have blue handles, Olivia's have green handles, and Peter's have yellow handles. They take a break and leave their paintbrushes on the table. While they're gone, the art teacher cleans all the brushes and places them in a common container to dry. When the students return, where will they expect to find their individual paintbrushes?"} {"instruction": "A chat. In a bakery, there are five loaves of bread: sourdough, rye, whole wheat, baguette, and ciabatta. The baker labels each loaf with a price tag: $3, $4, $5, $6, and $7. Later, a customer accidentally knocks over the price tags, causing them to mix up. Another customer enters the bakery and wants to buy a specific type of bread at its original price. How does the second customer figure out the correct price for the desired bread?"} {"instruction": "A chat. At a birthday party, there are six friends: Anna, Ben, Carla, Dan, Ellie, and Fred. They have a pinata filled with candy and take turns trying to break it open. Anna goes first and hits the pinata hard but doesn't break it. While they're waiting for their turn, Ben secretly opens the pinata's bottom and takes some candy out. After everyone has had a turn, Ellie finally breaks the pinata, and all the remaining candy spills out. What do the friends think about the amount of candy that comes out of the pinata?"} {"instruction": "A chat. In a family gathering, Uncle Jack brought a bag of candies and distributed them among his nieces and nephews. He gave 5 candies each to Tom, Jerry, and Lucy. Afterward, he hid the remaining candies in a red box in the kitchen cabinet. While the children were playing outside, Aunt Mary found the candies and moved them to a blue box in the living room. When Tom, Jerry, and Lucy decided to look for more candies, where would they search first?"} {"instruction": "A chat. In a garden, there are three flower pots: one with roses, one with daisies, and one with tulips. Sophie waters the rose pot every day before going to school. One day, her brother Sam decides to help by watering the daisy pot while Sophie is away. However, he accidentally uses a mixture of water and weed killer, causing the daisies to wilt. Their neighbor Lucy sees this and replaces the dead daisies with fresh ones from her own garden. When Sophie returns home, what does she think happened to the daisy pot?"} {"instruction": "A chat. During a game night, Anna secretly draws a card with the word \"elephant\" written on it. She must act out the word without speaking while her teammates try to guess what it is. However, just as she begins acting, a loud noise distracts everyone except for Jake, who correctly guesses the word. The rest of the team didn't hear Jake's answer. What do they think when they resume playing and how does Jake's knowledge differ from theirs?"} {"instruction": "A chat. In a park, there are five trees \u2013 oak, maple, pine, birch, and palm \u2013 that have been planted in a circle. Each tree has a unique birdhouse hanging on it, painted in different colors: red, yellow, green, blue, and purple. A group of children is playing nearby, and they decide to switch the birdhouses around as a prank. They move the red birdhouse from the oak tree to the maple tree, the yellow birdhouse from the maple tree to the pine tree, and so on. An elderly man who visits the park daily comes by later and notices the changes. Can he determine which birdhouse originally belonged to each tree?"} {"instruction": "A chat. During a camping trip, Tom, Jerry, and Sue decide to go fishing at a nearby lake. Before leaving, they store their food supplies in separate bags: Tom's bag is green, Jerry's is blue, and Sue's is red. A mischievous raccoon enters the campsite while they're away and rummages through the bags, mixing up the contents of each bag. Later, when the friends return from fishing, where will they expect to find their individual food supplies?"} {"instruction": "A chat. In a museum, four friends - Iris, Jack, Kelly, and Leo - are admiring different paintings. They each have a favorite painting that they want to show the others. However, while they're discussing their favorites, a staff member moves some of the paintings around as part of a new exhibit arrangement. When the friends go to find their favorite paintings to show one another, where will they look first?"} {"instruction": "A chat. Sarah and Emily are sisters who share a room with two closets, one red and one yellow. Sarah has a collection of hats that she keeps in the red closet, while Emily stores her shoes in the yellow closet. One day, their cousin Lily comes over to visit and borrows a hat from Sarah's red closet without telling anyone. Later, when Lily returns the hat, she mistakenly puts it in the yellow closet. Meanwhile, Sarah tells Emily about her new hat which she plans to wear for a party tonight but doesn't mention where she kept it. Where will Emily think Sarah will look for her hat?"} {"instruction": "A chat. A group of friends - Wendy, Xavier, Yolanda, and Zach - plan a surprise birthday party for their friend Abby. Wendy buys balloons, Xavier arranges for a cake, Yolanda organizes games, and Zach invites guests. On the day of the party, Wendy arrives early and starts decorating. Xavier comes next with the cake, followed by Yolanda who sets up the games. Zach arrives last with a group of guests, including Abby. How does each friend perceive the party's progress based on their individual contributions?"} {"instruction": "A chat. At school, four students - Tom, Jerry, Mary, and Jane - are assigned to work on a group project. Each student is responsible for bringing one item: Tom brings a laptop, Jerry brings a projector, Mary brings a poster board, and Jane brings markers. They all place their items in the classroom's storage closet before leaving for lunch. During lunchtime, the janitor cleans the room and rearranges the items in the closet, placing the laptop on a shelf, the projector in a cabinet, the poster board leaning against the wall, and the markers in a drawer. When the students return, where will each student look for their respective item?"} {"instruction": "A chat. At a birthday party, five friends - Alice, Bob, Carol, David, and Eve - decide to play hide-and-seek with a special toy car as the prize. They agree that whoever finds the car first wins. Alice is chosen to hide the car, so she places it under a red chair in the garden. While the others are counting, Carol sneaks a peek and sees Alice hiding the car. During the game, Bob accidentally kicks the red chair, causing the car to roll under a nearby blue bench. Who will find the car first, and where do they think it was hidden initially?"} {"instruction": "A chat. Lucy and her brother Tim have a pet hamster named Fluffy. One day, Lucy takes Fluffy out of his cage and places him in a small playpen while she cleans the cage. Tim comes into the room and sees Fluffy in the playpen but doesn't know that Lucy put him there. He assumes Fluffy escaped from his cage and decides to return him to the cage without telling Lucy. Later, when Lucy finishes cleaning the cage, where will she look for Fluffy?"} {"instruction": "A chat. In a library, there are five people: Karen, Lucy, Mike, Nancy, and Oliver. Karen takes a book from the shelf and starts reading at a table. She then leaves her seat to find another book. While she's gone, Lucy sits down at the same table and accidentally spills coffee on Karen's book. Unaware of this, Karen returns with a new book and sees the damaged one. What does she think happened while she was away?"} {"instruction": "A chat. At a birthday party, three children - Fiona, George, and Hannah - are playing with balloons. Each child has a balloon of their favorite color: red, blue, or green. While they're eating cake, the wind blows the balloons away from their chairs. A helpful adult retrieves the balloons and ties them back to the chairs, but accidentally mixes up the colors. When the children return to their seats, what will each child think about the color of their balloon?"} {"instruction": "A chat. In a classroom, there is a red box, a blue box, and a green box filled with toys. The teacher tells the students that each box contains specific types of toys: action figures in the red box, stuffed animals in the blue box, and puzzles in the green box. During recess, the janitor accidentally mixes up the contents of the boxes while cleaning. After recess, the teacher asks the students to pick a toy from one of the boxes. Which type of toy does each student expect to find in each box?"} {"instruction": "A chat. During a family gathering, Grandma hides a golden egg somewhere in the house as part of a treasure hunt game. Uncle John knows that the egg is not in the living room, Aunt Mary knows it's not in the kitchen, and Cousin Steve knows it's not in the basem*nt. They all share their information with each other but not with the rest of the family members participating in the game. What do Uncle John, Aunt Mary, and Cousin Steve think about the location of the golden egg compared to the rest of the family?"} {"instruction": "A chat. At a birthday party, six friends - Tom, Jerry, Mary, Sue, Mike, and Lisa - decide to play hide-and-seek. They agree that whoever finds the most people wins a prize. Each person hides in a different location: behind a curtain, under a table, inside a closet, on the balcony, in the bathroom, and in the basem*nt. During the game, some guests rearrange the furniture, causing the hiding spots to change. How do the players determine who won the game based on their initial knowledge of the hiding spots?"} {"instruction": "A chat. Four friends, Tom, Jerry, Kim, and Lucy, each have a secret box containing their favorite toys. Tom's box is green, Jerry's box is blue, Kim's box is yellow, and Lucy's box is red. They decide to hide their boxes in different locations: Tom hides his under the bed, Jerry hides his behind the couch, Kim hides hers on top of the wardrobe, and Lucy hides hers inside a drawer. Later, when they are not around, their younger siblings find the boxes and swap their hiding places. Now, Tom's box is behind the couch, Jerry's box is inside the drawer, Kim's box is under the bed, and Lucy's box is on top of the wardrobe. When the friends return to retrieve their boxes, where will each person look first?"} {"instruction": "A chat. At a family gathering, Sarah and her cousin Emma are playing in the living room with their dolls. Sarah hides her favorite doll under the couch before going to the kitchen for a snack. While she's away, Emma finds the doll under the couch and decides to hide it inside a nearby toy chest. Later, their uncle enters the room and moves the toy chest into another room. When Sarah returns, where will she look for her doll?"} {"instruction": "A chat. At a birthday party, six children - Lily, Max, Emma, Noah, Olivia, and Liam - receive differently shaped balloons: star, heart, circle, square, triangle, and diamond. The children place their balloons in separate corners of the room and go outside to play games. While they're gone, the wind blows through an open window and mixes up the balloons' positions. When the children come back, how do they think they'll find their balloons?"} {"instruction": "A chat. In a bakery, there are four employees: Anna, Elsa, Kristoff, and Hans. Anna bakes a batch of chocolate chip cookies and places them on a tray to cool. She then goes to prepare more dough. While she's busy, Elsa moves the tray of cookies to the storage room because she thinks they're ready to be packaged. Later, Kristoff comes in and takes half of the cookies from the storage room to sell at the front counter. Hans witnesses all these events but doesn't say anything. When Anna finishes preparing the dough, where does she think the tray of cookies is?"} {"instruction": "A chat. In a zoo, there are three animal caretakers - Mike, Laura, and Steve. Each of them is responsible for feeding different animals: Mike feeds the lions, Laura feeds the elephants, and Steve feeds the giraffes. One day, they all place their buckets of food in a storage room before going on break. While they're away, another worker accidentally mixes up the buckets while cleaning the storage room. When the caretakers return to feed the animals, what do they think happened to their buckets?"} {"instruction": "A chat. What kind of room has no windows or doors?"} {"instruction": "A chat. If an electric train is traveling south, which way is the smoke going?"} {"instruction": "A chat. Grows from the ground, bushes and grass, leaves of yellow, red and brow, unruly plants, get the axe, trim the hedge back down."} {"instruction": "A chat. Voiceless it cries,Voiceless it cries, Wingless flutters, Toothless bites, Mouthless mutters."} {"instruction": "A chat. A red house is made of red bricks. A blue house is made of blue bricks. An orange house is made of orange bricks. What is a greenhouse made of?"} {"instruction": "A chat. My life is often a volume of grief, your help is needed to turn a new leaf. Stiff is my spine and my body is pale. But I'm always ready to tell a tale."} {"instruction": "A chat. In the night a mountain, in the morning a meadow."} {"instruction": "A chat. A man gives one of his sons 15 apples and the other son 10 apples. Both sons are happy with their share, but they both end up with the same number of apples. How is this possible?"} {"instruction": "A chat. I am seen in the water. If seen in the sky, I am in the rainbow, a jay's feather, and lapis lazuli."} {"instruction": "A chat. White bird, featherless, flying out of paradise. Flying over sea and land. Dying in my hand."} {"instruction": "A chat. What has a neck but no head?"} {"instruction": "A chat. This thing runs but cannot walk, sometimes sings but never talks. Lacks arms, has hands; lacks a head but has a face."} {"instruction": "A chat. Which word in the dictionary is spelled incorrectly?"} {"instruction": "A chat. I'm very tempting, so its said, I have a shiny coat of red, and my flesh is white beneath. I smell so sweet, taste good to eat, and help to guard your teeth."} {"instruction": "A chat. A farmer has 17 sheep and all but 9 die. How many sheep does he have left?\n"} {"instruction": "A chat. What is so delicate that saying its name breaks it?"} {"instruction": "A chat. The more you take, the more you leave behind."} {"instruction": "A chat. What word starts with 'E', ends with 'E', but only has one letter? It is not the letter 'E'."} {"instruction": "A chat. When young, I am sweet in the sun. When middle-aged, I make you gay. When old, I am valued more than ever."} {"instruction": "A chat. There is an ancient invention. Still used in some parts of the world today. That allows people to see through walls."} {"instruction": "A chat. The strangest creature you'll ever find has two eyes in front and a hundred behind."} {"instruction": "A chat. An electric train is moving north at 100mph and a wind is blowing to the west at 10mph. Which way does the smoke blow?"} {"instruction": "A chat. A precious stone, as clear as diamond. Seek it out while the sun's near the horizon. Though you can walk on water with its power, try to keep it, and it'll vanish in an hour."} {"instruction": "A chat. What do you use to hoe a row, slay a foe, and wring with woe?"} {"instruction": "A chat. You heart it speak, for it has a hard tongue. But it cannot breathe, for it has not a lung."} {"instruction": "A chat. Four people need to cross a bridge at night. They have only one flashlight and the bridge is too dangerous to cross without it. The bridge can only hold two people at a time. The four people all walk at different speeds: one can cross in 1 minute, another in 2 minutes, another in 5 minutes, and the slowest in 10 minutes. When two people cross together, they must go at the slower person's pace. What is the fastest time that all four people can get across the bridge?"} {"instruction": "A chat. You saw me where I never was and where I could not be. And yet within that very place, my face you often see. "} {"instruction": "A chat. You see a house with two doors. One door leads to certain death and the other door leads to a lion that hasn't eaten in three years. Which door do you choose?"} {"instruction": "A chat. I walked and walked and at last I got it. I didn't want it. So I stopped and looked for it. When I found it, I threw it away."} {"instruction": "A chat. I\u2019m light as a feather, yet the strongest man can\u2019t hold me for more than five minutes. What am I?"} {"instruction": "A chat. What is seen in the middle of March and April that can\u2019t be seen at the beginning or end of either month?"} {"instruction": "A chat. I am heavy forward but backward I am not. What am I?"} {"instruction": "A chat. How can a man go eight days without sleep?"} {"instruction": "A chat. What kind of coat can only be put on when wet?"} {"instruction": "A chat. Look into my face and I'm everybody. Scratch my back and I'm nobody."} {"instruction": "A chat. Something wholly unreal, yet seems real to I. Think my friend, tell me where does it lie?"} {"instruction": "A chat. A woman shoots her husband, then holds him under water for five minutes. Finally, she hangs him. Five minutes later they enjoy a wonderful dinner together. How can this be?"} {"instruction": "A chat. What must be in the oven yet can not be baked? Grows in the heat yet shuns the light of day? What sinks in water but rises with air? Looks like skin but is fine as hair?"} {"instruction": "A chat. A farmer needs to take a fox, a chicken, and a bag of grain across a river. His boat can only carry one item at a time. If left alone, the fox would eat the chicken, and the chicken would eat the grain. How does the farmer get everything across safely?"} {"instruction": "A chat. A man lives on the tenth floor of a building. Every day he takes the elevator to go down to the ground and then goes to work. When he returns, he always stops at the seventh floor and walks up three flights of stairs to his apartment on the tenth floor. Why does he do this?"} {"instruction": "A chat. As beautiful as the setting sun, as delicate as the morning dew. An angel's dusting from the stars. That can turn the Earth into a frosted moon."} {"instruction": "A chat. An open ended barrel, it is shaped like a hive. It is filled with the flesh, and the flesh is alive."} {"instruction": "A chat. You see a cabin with two doors. One door leads to certain death and the other door leads to life. There are two guards, one in front of each door. One guard always tells the truth and the other always lies. You do not know which guard is which, nor which door leads to life. You can ask only one question to one of the guards. What should you ask to find the door that leads to life?"} {"instruction": "A chat. Different lights do make me strange, thus into different sizes I will change."} {"instruction": "A chat. What has a single eye but cannot see?"} {"instruction": "A chat. As soft as silk, as white as milk, as bitter as gall, a thick green wall, and a green coat covers me all."} {"instruction": "A chat. Two fathers and two sons went fishing. They caught 3 fish and divided them equally without cutting any fish. How could this be possible?"} {"instruction": "A chat. What has lots of eyes, but can\u2019t see?"} {"instruction": "A chat. Long and slinky like a trout, never sings till it's guts come out."} {"instruction": "A chat. If you have it, you want to share it. If you share it, you don't have it. What is it?"} {"instruction": "A chat. What has six faces and twenty-one eyes?"} {"instruction": "A chat. Who is it that rows quickly with four oars, but never comes out from under his own roof?"} {"instruction": "A chat. What can be seen once in a minute, twice in a moment, and never in a thousand years?"} {"instruction": "A chat. Always old, sometimes new. Never sad, sometimes blue. Never empty, sometimes full. Never pushes, always pulls."} {"instruction": "A chat. When they are caught, they are thrown away. When they escape, you itch all day."} {"instruction": "A chat. You see a cabin on a mountain side. All sides face south. How is this possible?"} {"instruction": "A chat. I bubble and laugh and spit water in your face. I am no lady, and I don't wear lace."} {"instruction": "A chat. I'm sometimes white and always wrong. I can break a heart and hurt the strong. I can build love or tear it down. I can make a smile or bring a frown."} {"instruction": "A chat. They're up near the sky, on something very tall. Sometimes they die, only then do they fall."} {"instruction": "A chat. Sleeping during the day, I hide away. Watchful through the night, I open at dawn's light. But only for the briefest time, do I shine. And then I hide away. And sleep through the day."} {"instruction": "A chat. What occurs once in a minute, twice in a moment, and never in a thousand years?"} {"instruction": "A chat. What's black when you get it, red when you use it, and white when you're all through with it?"} {"instruction": "A chat. If a red house is made from red bricks and a blue house is made from blue bricks, what is a green house made from?"} {"instruction": "A chat. Thirty white horses on a red hill, First they champ, Then they stamp, Then they stand still."} {"instruction": "A chat. What gets wet while drying?"} {"instruction": "A chat. It is a part of us, and then replaced. It escapes out bodies, to a better place. The world becomes its sizeable home. Its passions unrestraint, the planet it roams."} {"instruction": "A chat. What goes up when the rain comes down?"} {"instruction": "A chat. I am always hungry, I must always be fed. The finger I lick will soon turn red."} {"instruction": "A chat. You have two hourglasses - one measures 7 minutes and the other measures 11 minutes. How can you use these hourglasses to time exactly 15 minutes?"} {"instruction": "A chat. What gets wetter as it dries?"} {"instruction": "A chat. At the sound of me, one may dream or stamp their feet, At the sound of me, one may laugh or sometimes weep."} {"instruction": "A chat. I drift forever with the current down these long canals they\u2019ve made, Tame, yet wild, I run elusive Multitasking to your aid. Before I came, the world was darker, colder, sometimes, rougher, true. But though I might make living easy, I\u2019m good at killing people too."} {"instruction": "A chat. A man is found dead in a field. Next to him, there is an unopened package. There isn't another living creature around for miles. How did he die?"} {"instruction": "A chat. I can be moved. I can be rolled. But nothing will I hold. I'm red and I'm blue, and I can be other colors too. Having no head, though similar in shape. I have no eyes - yet move all over the place."} {"instruction": "A chat. If there are 6 apples and you take away 4, how many do you have?"} {"instruction": "A chat. I am the heart that does not beat. If cut, I bleed without blood. I can fly, but have no wings. I can float, but have no fins. I can sing, but have no mouth."} {"instruction": "A chat. What 5-letter word becomes shorter when you add two letters to it?"} {"instruction": "A chat. What has many keys but can't open a single lock?"} {"instruction": "A chat. You get many of me, but never enough. After the last one, your life soon will snuff. You may have one of me but one day a year, When the last one is gone, your life disappears."} {"instruction": "A chat. I have a neck but no head. I have a body but no arm. I have a bottom but no leg."} {"instruction": "A chat. I am full of holes, but still holds water. What am I?"} {"instruction": "A chat. I turn around once. What is out will not get in. I turn around again. What is in will not get out."} {"instruction": "A chat. I can be cracked, made, told, and played. What am I?"} {"instruction": "A chat. If you drop me I'm sure to crack, but give me a smile and I'll always smile back. What am I?"} {"instruction": "A chat. Hard to catch, easy to hold. Can't be seen, unless it's cold."} {"instruction": "A chat. My first is in window but not in pane. My second's in road but not in lane. My third is in oval but not in round. My fourth is in hearing but not in sound. My whole is known as a sign of peace. And from noah's ark won quick release."} {"instruction": "A chat. Turns us on our backs, and open up our stomachs. You will be the wisest of men though at start a lummox."} {"instruction": "A chat. You see a house with two doors. One door leads to certain death and the other door leads to a life full of riches. There are two people, one in front of each door. One person always tells the truth and the other always lies. You do not know which person is which, nor which door leads to the riches. You can ask only one question to one of the people. What should you ask to find the way to the riches?"} {"instruction": "A chat. What word in the English language does the following: the first two letters signify a male, the first three letters signify a female, the first four letters signify a great man, while the entire word signifies a great woman. What is the word?"} {"instruction": "A chat. When liquid splashes me, none seeps through. When I am moved a lot, liquid I spew. When I am hit, color I change. And color, I come in quite a range. What I cover is very complex, and I am very easy to flex."} {"instruction": "A chat. Which is heavier, a ton of feathers or a ton of bricks?"} {"instruction": "A chat. What instrument can make any sound and be heart, but not touched or seen?"} {"instruction": "A chat. If you're running in a race and you pass the person in second place, what place are you in?"} {"instruction": "A chat. A woman gives a beggar 50 cents; the woman is the beggar's sister, but the beggar is not the woman's brother. How can this be?"} {"instruction": "A chat. Lighter than what I am made of, More of me is hidden Than is seen."} {"instruction": "A chat. You can spin, wheel and twist. But this thing can turn without moving."} {"instruction": "A chat. Imagine you are in a sinking rowboat surrounded by sharks. How would you survive?"} {"instruction": "A chat. What has one eye but cannot see?"} {"instruction": "A chat. It belongs to you, but your friends use it more. What is it?"} {"instruction": "A chat. Half-way up the hill, I see you at last, lying beneath me with your sounds and sights. A city in the twilight, dim and vast, with smoking roofs, soft bells, and gleaming lights."} {"instruction": "A chat. What has keys but can\u2019t open locks?"} {"instruction": "A chat. High born, my touch is gentle. Purest white is my lace. Silence is my kingdom. Green is the color of my death."} {"instruction": "A chat. A truck driver is going down a one-way street the wrong way, and passes at least ten cops. Why is he not caught?"} {"instruction": "A chat. An electric train is traveling eastward at 60 miles per hour. The wind is blowing westward at 10 miles per hour. In which direction does the smoke from the train blow?\n"} {"instruction": "A chat. A cowboy rides into town on Friday, stays for three nights, and leaves on Friday. How does he do it?"} {"instruction": "A chat. My voice is tender, my waist is slender and I'm often invited to play. Yet wherever I go, I must take my bow or else I have nothing to say."} {"instruction": "A chat. Only two backbones and thousands of ribs."} {"instruction": "A chat. Iron on a mammal. Mammal on your feet."} {"instruction": "A chat. Of these things - I have two. One for me - and one for you. And when you ask about the price, I simply smile and nod twice."} {"instruction": "A chat. You enter a room with two doors. One door leads to certain death, while the other leads to freedom. There are two guards, one in front of each door. One guard always tells the truth, while the other always lies. You can ask only one question to find out which door leads to freedom. What do you ask?"} {"instruction": "A chat. Feed me and I live, give me drink and I die. "} {"instruction": "A chat. What gets bigger the more you take away from it?"} {"instruction": "A chat. To unravel me you need a simple key, no key that was made by locksmith's hand. But a key that only I will understand."} {"instruction": "A chat. If five cats catch five mice in five minutes, how long will it take one cat to catch a mouse?"} {"instruction": "A chat. You are driving a bus. At the first stop, 4 people get on. At the second stop, 8 people get on. At the third stop, 2 people get off, and at the fourth stop, everyone gets off. What color are the bus driver's eyes?"} {"instruction": "A chat. One by one we fall from heaven down into the depths of past, And our world is ever upturned so that yet some time we\u2019ll last."} {"instruction": "A chat. A man pushes his car to a hotel and lost his fortune. What happened?"} {"instruction": "A chat. I wear a red robe, with staff in hand, and a stone in my throat."} {"instruction": "A chat. I am the yellow hem of the sea's blue skirt."} {"instruction": "A chat. I am always hungry and will die if not fed, but whatever I touch will soon turn red. What am I?"} {"instruction": "A chat. What is pronounced like one letter, written with three letters. And belongs to all animals?"} {"instruction": "A chat. It comes only before, it comes only after. Rises only in darkness, but rises only in light. It is always the same, but is yet always different."} {"instruction": "A chat. I have one eye. See near and far. I hold the moments you treasure and the things that make you weep."} {"instruction": "A chat. It's shorter than the rest, but when you're happy, you raise it up like it's the best. What is it?"} {"instruction": "A chat. What occurs once in a year, twice in a week, but never in a day?"} {"instruction": "A chat. What asks but never answers?"} {"instruction": "A chat. A plane crashes on the border of the U.S. and Canada. Where do they bury the survivors?"} {"instruction": "A chat. A box without hinges, lock or key, yet golden treasure lies within. "} {"instruction": "A chat. My first is in some but not in all. My second is into but not in tall. My third in little but no in big. My fourth in port but not in pig. My whole is made in nature's way. For clothing, rugs used every day."} {"instruction": "A chat. Of no use to one, Bliss to two. Men lie for it. The baby\u2019s right,"} {"instruction": "A chat. Some people have me; some people don\u2019t. In the middle of water, I am left behind. What am I?"} {"instruction": "A chat. Some months have 31 days, others have 30 days. How many have 28 days?"} {"instruction": "A chat. A man lives on the 10th floor of a building. Every day he takes the elevator down to the ground floor to leave the building. When he returns, he always takes the elevator to the 7th floor and then walks up the stairs to his apartment on the 10th floor. Why does he do this?"} {"instruction": "A chat. If three cats catch three mice in three minutes, how long will it take hundred cats to catch hundred mice?"} {"instruction": "A chat. Die without me, never thank me. Walk right through me, never feel me. Always watching, never speaking. Always lurking, never seen."} {"instruction": "A chat. What wears a coat in the winter and pants in the summer?"} {"instruction": "A chat. A man is pushing his car along the road when he comes to a hotel. He shouts, \"I'm bankrupt!\" Why?"} {"instruction": "A chat. What can be broken, but is never held?"} {"instruction": "A chat. We are all around, yet to us you are half blind. Sunlight makes us invisible, and difficult to find."} {"instruction": "A chat. I am whole but incomplete. I have no eyes, yet I see. You can see, and see right through me. My largest part is one fourth of what I once was."} {"instruction": "A chat. Who works when he plays and plays when he works?"} {"instruction": "A chat. What goes in the water red, and comes out black?"} {"instruction": "A chat. Three people check into a hotel room that costs $30. They each contribute $10 and head up to their room. Later, the hotel manager realizes the room actually costs $25 and gives the bellboy $5 to return to the guests. On the way to the room, the bellboy decides to keep $2 for himself and give each guest back $1. So now, each guest paid $9 (totaling $27) and the bellboy kept $2. That totals $29. Where did the extra dollar go?"} {"instruction": "A chat. What has 13 hearts, but no other organs?"} {"instruction": "A chat. In a race, you passed the person in second place. What position are you now in?"} {"instruction": "A chat. Three lives have I. Gentle enough to soothe the skin. Light enough to caress the sky. Hard enough to crack rocks."} {"instruction": "A chat. What gets wetter and wetter the more it dries?"} {"instruction": "A chat. When the day after tomorrow is yesterday. Today will be as far from Wednesday. As today was from Wednesday. When the day before yesterday was tomorrow. What is the day after this day?"} {"instruction": "A chat. You walk into a room with a match. In this room there is a stove, a heater, and a candle. What do you light first?"} {"instruction": "A chat. If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?"} {"instruction": "A chat. Four of us are in your field, But our differences keep us at yield, First, a one that is no fool, Though he resembles a gardener\u2019s tool, Next, one difficult to split in two, And a girl once had one as big as her shoe, Then, to the mind, one\u2019s a lovely bonder, And truancy makes it grow fonder, Last, a stem connecting dots of three"} {"instruction": "A chat. The eight of us move forth and back. To protect our king from the foes attack."} {"instruction": "A chat. It's as light as a feather, but even the strongest man can't hold it for long. What is it?"} {"instruction": "A chat. How far can a dog run into the woods?"} {"instruction": "A chat. Which weighs more, a pound of feathers or a pound of bricks?"} {"instruction": "A chat. What do you fill with empty hands?"} {"instruction": "A chat. My thunder comes before the lightning. My lightning comes before the clouds. My rain dries all the land it touches."} {"instruction": "A chat. All about, but cannot be seen, Can be captured, cannot be held, No throat, but can be heard."} {"instruction": "A chat. When I\u2019m metal or wood, I help you get home. When I\u2019m flesh and I\u2019m blood, In the darkness I roam."} {"instruction": "A chat. He has one and a person has two. A citizen has three. And a human being has four. A personality has five. And an inhabitant of earth has six."} {"instruction": "A chat. Give it food and it will live, give it water and it will die."} {"instruction": "A chat. When you stop and look, you can always see me. If you try to touch, you cannot feel me. I cannot move, but as you near me, I will move away from you."} {"instruction": "A chat. A girl fell off a 20-foot ladder. She wasn't hurt. Why?"} {"instruction": "A chat. I saw a man in white, he looked quite a sight. He was not old, but he stood in the cold. And when he felt the sun, he started to run. Who could he be? Please answer me."} {"instruction": "A chat. There are six eggs in a basket. Six people each take one egg. How can it be that there is still one egg left in the basket?"} {"instruction": "A chat. If you were running a race and you passed the person in 2nd place, what place would you be in now?"} {"instruction": "A chat. Some live in me, some live on. And some shave me to stride upon. I rarely leave my native land. Until my death I always stand. High and low I may be found. Both above and below ground."} {"instruction": "A chat. What always runs but never walks, often murmurs, never talks, has a bed but never sleeps, has a mouth but never eats?"} {"instruction": "A chat. I am the fountain from which no one can drink. For many I am considered a necessary link. Like gold to all I am sought for, but my continued death brings wealth for all to want more."} {"instruction": "A chat. I have branches, but no fruit, trunk or leaves. What am I?"} {"instruction": "A chat. Sometimes I am loud. And viewed with distaste. Poke out my 'eye', then I'm on the front of your face."} {"instruction": "A chat. A hill full, a hole full, yet you cannot catch a bowl full."} {"instruction": "A chat. Soft and fragile is my skin, I get my growth in mud. I\u2019m dangerous as much as pretty, for if not careful, I draw blood."} {"instruction": "A chat. A man is driving his truck. His headlights are not on, and the moon is not out. Up ahead, a woman is crossing the street. How does he see her?"} {"instruction": "A chat. I do not breathe, but I run and jump. I do not eat, but I swim and stretch. I do not drink, but I sleep and stand. I do not think, but I grow and play. I do not see, but you see me everyday."} {"instruction": "A chat. What makes a loud noise when changing its jacket, becomes larger but weighs less?"} {"instruction": "A chat. Weight in my belly, Trees on my back, I travel fast in my place, but feet is a feature I lack"} {"instruction": "A chat. Divide 30 by half and add ten. What is the answer?"} {"instruction": "A chat. A man leaves home and turns left three times, only to return home facing two men wearing masks. Who are those two men?"} {"instruction": "A chat. In a year, some months have 30 days, while some have 31. Guess which month has 28 days?"} {"instruction": "A chat. A woman shoots her husband. Then she holds him under water for over 5 minutes. Finally, she hangs him. But 5 minutes later they both go out together and enjoy a wonderful dinner together. How can this be?"} {"instruction": "A chat. I have a face, yet no senses. But I don't really care, because time is of the essence."} {"instruction": "A chat. What runs around the whole yard without moving?"} {"instruction": "A chat. A cowboy rides into town on Friday, stays for three days, then leaves on Friday. How did he do it?"} {"instruction": "A chat. Three people check into a hotel room that costs $30. They each contribute $10. Later, the manager realizes the room rate is only $25 and gives $5 to the bellboy to return to the guests. On the way to the room, the bellboy decides to keep $2 for himself and give each guest $1 back. So, each guest got $1 back: thus they each paid $9; bringing the total paid to $27. The bellboy has $2, totaling $29. Where is the missing dollar?"} {"instruction": "A chat. The more of it there is, the less you see."} {"instruction": "A chat. A man builds a rectangular house with four walls. Each wall has a southern exposure. What color is the bear that walks by?\n"} {"instruction": "A chat. With pointed fangs it sits in wait. With piercing force it doles out fate, over bloodless victims proclaiming its might. Eternally joining in a single bite."} {"instruction": "A chat. What lies in a tunnel of darkness. That can only attack when pulled back?"} {"instruction": "A chat. What can you catch but not throw?"} {"instruction": "A chat. A girl who was just learning to drive went down a one-way street in the wrong direction, but didn't break the law. How is that possible?"} {"instruction": "A chat. You are walking down a path when you come across two doors guarded by two guards. One door leads to safety, while the other leads to certain death. One guard always tells the truth, and the other always lies. You don't know which guard is which, and you can only ask one question to find out which door leads to safety. What do you ask?\n"} {"instruction": "A chat. You are in a cabin and it is pitch black. You have one match on you. Which do you light first, the newspaper, the lamp, the candle, or the fire?"} {"instruction": "A chat. If there are three apples and you take away two, how many do you have?"} {"instruction": "A chat. Two fathers and two sons went fishing. Each of them caught one fish. So why did they bring home only three fishes?"} {"instruction": "A chat. What breaks yet never falls, and what falls yet never breaks?"} {"instruction": "A chat. I heard of a wonder, of words moth-eaten. That is a strange thing, I thought, weird. That a man's song be swallowed by a worm. His blinded sentences, his bedside stand-by rustled in the night - and the robber-guest. Not one wit the wiser. For the words he had mumbled."} {"instruction": "A chat. You use it between your head and your toes, the more it works the thinner it grows."} {"instruction": "A chat. I'm light as a feather, yet the strongest man can't hold me for much longer than a minute. I'm intangible, but you can see me. What am I?"} {"instruction": "A chat. You're driving a bus with 7 passengers on board. At the first stop, 4 people get off and 3 new passengers get on. At the next stop, 2 people get off and 5 new passengers get on. At the third stop, 6 people get off and 1 new passenger gets on. What color are the bus driver's eyes?"} {"instruction": "A chat. By Moon or by Sun, I shall be found. Yet I am undone, if there's no light around."} {"instruction": "A chat. My teeth are sharp, my back is straight, to cut things up it is my fate."} {"instruction": "A chat. Snake coiled round and round. Snake deep below the ground. Snake that's never had a head. Snake that binds but not with dread."} {"instruction": "A chat. There\u2019s a one-story house where everything is yellow. The walls are yellow. The doors are yellow. Even all the furniture is yellow. The house has yellow beds and yellow couches. What color are the stairs?"} {"instruction": "A chat. My first is in fish but no in snail. My second is in rabbit but no in tail. My third is in up but not in down. My fourth is in tiara but not in crown. My fifth is in tree you plainly see. My whole a food for you and me."} {"instruction": "A chat. If you throw me out the window, I'll leave a grieving wife. Bring me back, but through the door, and you'll see someone giving life. What am I?"} {"instruction": "A chat. The moon is my father. The sea is my mother. I have a million brothers. I die when I reach land."} {"instruction": "A chat. There is one word that stands the test of time and holds fast to the center of everything. Though everyone will try at least once in their life to move around this word, but in fact, unknowingly, they use it every moment of the day. Young or old, awake or in sleep, human or animal, this word stands fast. It belongs to everyone, to all living things, but no one can master it. The word is?"} {"instruction": "A chat. What can be heard and caught but never seen?"} {"instruction": "A chat. What goes up and down, but still remains in the same place?"} {"instruction": "A chat. You will find me with four legs, but no hair. People ride me for hours, but I don't go anywhere without needing to be tugged. Jerked or turned on, I always manage to be ready for work."} {"instruction": "A chat. I have four wings but cannot fly. I never laugh and never cry. On the same spot always found, toiling away with little sound."} {"instruction": "A chat. Two brothers we are, great burdens we bear. All day we are bitterly pressed. Yet this I will say, we are full all the day, and empty when go to rest."} {"instruction": "A chat. A warrior amongst the flowers, he bears a thrusting sword. He uses it whenever he must, to defend his golden hoard."} {"instruction": "A chat. When set loose I fly away. Never so cursed as when I go astray."} {"instruction": "A chat. In a year, there are 12 months. Seven months have 31 days. How many months have 28 days?"} {"instruction": "A chat. If a red house is made from red bricks and a blue house is made from blue bricks and a pink house is made from pink bricks and a black house is made from black bricks, what is a green house made from?"} {"instruction": "A chat. What can't you see, hear or feel, until its too late. What shadows love, and shopkeepers hate?"} {"instruction": "A chat. A man pushes his car to a hotel and loses all his money. What happened?"} {"instruction": "A chat. Up on high I wave away but not a word can I say."} {"instruction": "A chat. Metal or bone I may be, many teeth I have and always bared. Yet my bite harms no one. And ladies delight in my touch."} {"instruction": "A chat. What has many keys, but can't even open a single door?"} {"instruction": "A chat. I am the red tongue of the earth, that buries cities."} {"instruction": "A chat. Dies half its life. Lives the rest. Dances without music. Breathes without breath."} {"instruction": "A chat. I run around the city, but I never move."} {"instruction": "A chat. A doctor gives you three pills telling you to take one every half hour. How long would the pills last?"} {"instruction": "A chat. Three people check into a hotel room that costs $30. They each contribute $10, handing $30 to the hotel clerk. Later, the hotel clerk realizes there was a mistake and the room only cost $25. The hotel clerk gives $5 to the bellboy and asks him to return it to the guests. The bellboy, however, decides to keep $2 for himself and gives $1 back to each guest. Now, each guest has paid $9 (totaling $27) and the bellboy kept $2, which adds up to $29. What happened to the missing dollar?"} {"instruction": "A chat. Alive without breath, As cold as death, Clad in mail never clinking, Never thirsty, ever drinking"} {"instruction": "A chat. A little house full of meat, no door to go in and eat."} {"instruction": "A chat. Until I am measured I am not known, Yet how you miss me when I have flown."} {"instruction": "A chat. If you drop me I'm sure to crack. But give me a smile and I'll always smile back."} {"instruction": "A chat. A horrid monster hides from the day, with many legs and many eyes. With silver chains it catches prey. And eats it all before it dies. Yet in every cottage does it stay. And every castle beneath the sky."} {"instruction": "A chat. There was an evergreen tree in the dark, ugly forest where bright colored birds lived. The birds made the tree beautiful. One day a gust of wind blew away all leaves from the tree. Then suddenly another gust of wind came but no single leaf was left on the tree. How come?"} {"instruction": "A chat. What is black when you buy it, red when you use it, and gray when you throw it away?"} {"instruction": "A chat. What begins with T, finishes with T, and has T in it?"} {"instruction": "A chat. What an fill a room but takes up no space?"} {"instruction": "A chat. What has a head, a tail, is brown, and has no legs?"} {"instruction": "A chat. If you were running a race and passed the person in second place, what place would you be in now?\n"} {"instruction": "A chat. A plane crashes exactly on the border between the United States and Canada. Where should the survivors be buried?"} {"instruction": "A chat. You see a cabin with two doors. One door leads to certain death and the other door leads to life. There are two robots, one in front of each door. One robot always tells the truth and the other always lies. You do not know which robot is which, nor which door leads to life. You can ask only one question to one of the robots. What should you ask to find the door that leads to life?"} {"instruction": "A chat. What does no man want, yet no man want to lose?"} {"instruction": "A chat. The more you take, the more you leave behind. What am I?"} {"instruction": "A chat. Hold the tail, while I fish for you."} {"instruction": "A chat. You have a match and you enter a wagon with a candle, a lamp, and a fireplace. Which one do you light first?"} {"instruction": "A chat. It is greater than God and more evil than the devil. The poor have it, the rich need it, and if you eat it you'll die."} {"instruction": "A chat. I drive men mad for love of me. Easily beaten, never free."} {"instruction": "A chat. My life can be measured in hours. I serve by being devoured. Thin, I am quick. Fat, I am slow. Wind is my foe."} {"instruction": "A chat. A house with two occupants, sometimes one, rarely three. Break the walls, eat the boarders, then throw away me."} {"instruction": "A chat. What\u2019s black in the morning, red in the afternoon, and white at night?"} {"instruction": "A chat. I am not alive, but I can grow; I don't have lungs, but I need air; I don't have a mouth, but water kills me. What am I?"} {"instruction": "A chat. What word becomes shorter when you add two letters to it?"} {"instruction": "A chat. In buckles or lace, they help set the pace. The farther you go, the thinner they grow."} {"instruction": "A chat. As a whole, I am both safe and secure. Behead me, I become a place of meeting. Behead me again, I am the partner of ready. Restore me, I become the domain of beasts."} {"instruction": "A chat. People are hired to get rid of me. I'm often hiding under your bed. In time I'll always return you see. Bite me and you're surely dead."} {"instruction": "A chat. A farmer had 752 sheep and took one shot that got them all. How did he do it?"} {"instruction": "A chat. A man walks into a bar and asks for a glass of water. The bartender pulls out a gun and points it at him. The man says \"Thank you\" and leaves. Why did he thank the bartender?"} {"instruction": "A chat. What gets bigger the more you take away?"} {"instruction": "A chat. I am so simple that I can only point. Yet I guide men all over the world."} {"instruction": "A chat. I cut through evil like a double edged sword, and chaos flees at my approach. Balance I single-handedly upraise, through battles fought with heart and mind, instead of with my gaze."} {"instruction": "A chat. Stealthy as a shadow in the dead of night, cunning but affectionate if given a bite. Never owned but often loved. At my sport considered cruel, but that's because you never know me at all."} {"instruction": "A chat. An iron horse with a flaxen tail. The faster the horse runs, the shorter his tail becomes."} {"instruction": "A chat. What occurs once in every minute, twice in every moment, but never in a thousand years?\n"} {"instruction": "A chat. I saw a strange creature. Long, hard, and straight, thrusting into a round, dark opening. Preparing to discharge its load of lives. Puffing and squealing noises accompanied it, then a final screech as it slowed and stopped."} {"instruction": "A chat. A man dies of old age on his 25 birthday. How is this possible?"} {"instruction": "A chat. He has married many women but has never married."} {"instruction": "A chat. You are driving a bus with 10 passengers on board. At the first stop, 3 people get off and 2 people get on. At the second stop, 4 people get off and 1 person gets on. At the third stop, no one gets off and 5 people get on. How many passengers are on the bus now?"} {"instruction": "A chat. A woman has two coins that add up to 30 cents, but one of them is not a nickel. What are the two coins?\n"} {"instruction": "A chat. A little pool with two layers of wall around it. One white and soft and the other dark and hard. Amidst a light brown grassy lawn with an outline of a green grass."} {"instruction": "A chat. What is that over the head and under the hat?"} {"instruction": "A chat. It cannot be seen, it weighs nothing, but when put into a barrel, it makes it lighter. "} {"instruction": "A chat. A tiny bead, like fragile glass, strung along a cord of grass."} {"instruction": "A chat. I am full of keys but can't open any door. What am I?"} {"instruction": "A chat. In a year, there are 12 months. Seven months have 31 days, four months have 30 days, and one month has 28 days (ignoring leap years). How many months have 28 days?"} {"instruction": "A chat. Only one color, but not one size. Stuck at the bottom, yet easily flies. Present in sun, but not in rain. Doing no harm, and feeling no pain."} {"instruction": "A chat. Three doctors said that Bill was their brother. Bill says he has no brothers. How many brothers does Bill actually have?"} {"instruction": "A chat. I make you weak at the worst of all times. I keep you safe, I keep you fine. I make your hands sweat. And your heart grow cold. I visit the weak, but seldom the bold."} {"instruction": "A chat. I am mother and father, but never birth or nurse. I'm rarely still, but I never wander."} {"instruction": "A chat. Runs smoother than any rhyme, loves to fall but cannot climb!"} {"instruction": "A chat. In your fire you hear me scream, creaking and whining, yet I am dead before you lay me in your hearth."} {"instruction": "A chat. Which room has no walls?"} {"instruction": "A chat. Two fathers and two sons go fishing together. They each catch one fish to take home with them. They do not lose any fish, and they bring home three fish. How can this be possible?"} {"instruction": "A chat. Pregnant every time you see her, yet she never will give birth."} {"instruction": "A chat. Upon me you can tread, though softly under cover. And I will take you places, that you have yet to discover. I'm high, and I'm low, though flat in the middle. And though a joy to the children, adults think of me little."} {"instruction": "A chat. You're running a race and pass the person in 2nd place. What place are you in now?"} {"instruction": "A chat. My first is in blood and also in battle. My second is in acorn, oak, and apple. My third and fourth are both the same. In the center of sorrow and twice in refrain. My fifth starts eternity ending here. My last is the first of last, Oh Dear."} {"instruction": "A chat. What has to be broken before you can use it?"} {"instruction": "A chat. If you're running a race and you pass the person in second place, what place are you in now?"} {"instruction": "A chat. In a year, some months have 30 days, while some have 31. How many have 29?"} {"instruction": "A chat. Two fathers and two sons go fishing. They catch exactly three fish. Each person gets exactly one fish. How is this possible?"} {"instruction": "A chat. I have four legs but no tail. Usually I am heard only at night."} {"instruction": "A chat. There are six oranges in a basket and six people in the room. Each person takes one orange, but there is still one orange left in the basket. How is this possible?"} {"instruction": "A chat. How much dirt is there in a hole that measures two feet by three feet by four feet?"} {"instruction": "A chat. Glittering points that downward thrust. Sparkling spears that never rust."} {"instruction": "A chat. What force and strength cannot get through. I, with a gentle touch, can do. Many in the street would stand. Were I not a friend at hand."} {"instruction": "A chat. There are 10 birds on a tree. A hunter shoots one. How many remain?"} {"instruction": "A chat. Round as a button, deep as a well. If you want me to talk, you must first pull my tail."} {"instruction": "A chat. A man leaves home, turns left three times, and returns home to find two masked men waiting for him. Who are the masked men?\n"} {"instruction": "A chat. I move without wings, Between silken string, I leave as you find, My substance behind."} {"instruction": "A chat. A girl throws a ball as hard as she can. It comes back to her, even though nothing and nobody touches it. How?"} {"instruction": "A chat. What kind of room has no doors or windows?"} {"instruction": "A chat. What starts with the letter \u201ct\u201d, is filled with \u201ct\u201d and ends in \u201ct\u201d?"} {"instruction": "A chat. Ten men's strength, ten men's length. Ten men can't break it, yet a young boy walks off with it."} {"instruction": "A chat. There are 3 switches outside of a room. One corresponds to a light bulb inside the room, the other two do nothing. You can flip the switches however you want but you may only enter the room once. How do you know which switch controls the light bulb?"} {"instruction": "A chat. A man describes his daughters, saying, \u201cThey are all blonde, but two; all brunette but two; and all redheaded but two.\u201d How many daughters does he have?"} {"instruction": "A chat. You throw me out when you want to use me, but take me in when you don\u2019t want to use me. What am I?"} {"instruction": "A chat. What can you put in a barrel to make it lighter?"} {"instruction": "A chat. A man gave one of his sons a gift on Friday. The son, however, did not open the gift until Sunday. Why?\n"} {"instruction": "A chat. When there is fire in me then I am still cold. When I own your true love\u2019s face then you will not see me. To all things I give no more than I am given. In time I may have all things, and yet I can keep nothing. "} {"instruction": "A chat. What five-letter word becomes shorter when you add two more letters?"} {"instruction": "A chat. There are three important rooms in a house. The first one is filled with money. The second one is filled with important papers. The third one is filled with jewelry. One day all these rooms burst into fire. Which room did the policemen put out the fire in first?"} {"instruction": "A chat. I cannot be other than what I am, until the man who made me dies. Power and glory will fall to me finally. Only when he last closes his eyes."} {"instruction": "A chat. What is it which builds things up? Lays mountains low? Dries up lakes, and makes things grow? Cares not a whim about your passing? And is like few other things, because it is everlasting?"} {"instruction": "A chat. You walk into a room with a matchstick. In the room, there is a stove, a heater, and a candle. What do you light first?"} {"instruction": "A chat. A man is pushing his car along a road when he comes to a hotel. He shouts, \"I'm bankrupt!\" Why?\n"} {"instruction": "A chat. If you have a bowl with six apples and you take away four, how many do you have?"} {"instruction": "A chat. Gets rid of bad ones, short and tall. Tightens when used, one size fits all."} {"instruction": "A chat. A leathery snake, with a stinging bite. I'll stay coiled up, unless I must fight."} {"instruction": "A chat. What can run but never walks, has a mouth but never talks, has a head but never weeps, has a bed but never sleeps?"} {"instruction": "A chat. Three men were in a boat. It capsized, but only two got their hair wet. Why didn't the third man's hair get wet?"} {"instruction": "A chat. I have cities, but no houses. I have mountains, but no trees. I have rivers, but no water. What am I?"} {"instruction": "A chat. Walk on the living, they don\u2019t even mumble. Walk on the dead, they mutter and grumble"} {"instruction": "A chat. In British Columbia, you cannot take a picture of a man with a wooden leg. Why not?"} {"instruction": "A chat. A woman gave birth to two sons who were born on the same hour of the same day of the same year but they are not twins. How could this be so?"} {"instruction": "A chat. Tall in the morning, short at noon, gone at night. But I'll be back soon."} {"instruction": "A chat. I know a word of letters three. Add two, and fewer there will be!"} {"instruction": "A chat. Often held but never touched. Always wet but never rusts. Often bits but seldom bit. To use it well you must have wit."} {"instruction": "A chat. There are 12 fish in an aquarium, and half of them drown. How many fish are left?"} {"instruction": "A chat. What flies forever, Rests never?"} {"instruction": "A chat. How many months have 28 days?"} {"instruction": "A chat. A hole in a pole, though I fill a hole in white. I'm used more by the day, and less by the night."} {"instruction": "A chat. You draw a line. Without touching it, how do you make the line longer?"} {"instruction": "A chat. Goes over all the hills and hollows. Bites hard, but never swallows."} {"instruction": "A chat. A man dressed in all black is walking down a country lane. Suddenly, a large black car without any lights on comes round the corner and screeches to a halt. How did the car know he was there?"} {"instruction": "A chat. As destructive as life, As healing as death; An institutioner of strife, Just as prone to bless. It is all that is good, Yet with an evil trend; As it was the beginning of things, It can also be the end."} {"instruction": "A chat. What kind of tree can you carry in your hand?"} {"instruction": "A chat. What loses its head in the morning and gets it back at night?"} {"instruction": "A chat. Almost everyone needs it, asks for it, gives it. But almost nobody takes it."} {"instruction": "A chat. I never was, am always to be. No one ever saw me, nor ever will. And yet I am the confidence of all, To live and breath on this terrestrial ball. "} {"instruction": "A chat. What is it that was given to you, belongs only to you. And yet your friends use it more than you do?"} {"instruction": "A chat. I\u2019m light as a feather, yet the strongest man can\u2019t hold me for long. What am I?"} {"instruction": "A chat. Take one out and scratch my head, I am now black but once was red."} {"instruction": "A chat. I am the outstretched fingers that seize and hold the wind. Wisdom flows from me in other hands. Upon me are sweet dreams dreamt, my merest touch brings laughter."} {"instruction": "A chat. Face with a tree, skin like the sea. A great beast I am. Yet vermin frightens me."} {"instruction": "A chat. What can be swallowed, But can also swallow you?"} {"instruction": "A chat. A girl fell off a 50-foot ladder but didn\u2019t get hurt. How come?"} {"instruction": "A chat. A man pushes his car to a hotel and loses his fortune. What happened?"} {"instruction": "A chat. If there are three apples and you take away two, how many apples do you have?"} {"instruction": "A chat. What word is spelled incorrectly in every dictionary?"} {"instruction": "A chat. I can be written, I can be spoken, I can be exposed, I can be broken."} {"instruction": "A chat. What can touch someone once and last them a life time?"} {"instruction": "A chat. What goes up and down without moving?"} {"instruction": "A chat. A nut cracker up in a tree."} {"instruction": "A chat. I am taken from a mine, and shut up in a wooden case, from which I am never released, and yet I am used by almost every person. What am I?"} {"instruction": "A chat. What is often returned, but never borrowed/"} {"instruction": "A chat. A word I know, six letters it contains. Subtract just one and twelve remains."} {"instruction": "A chat. They can be harbored, but few hold water. You can nurse them, but only by holding them against someone else. You can carry them, but not with your arms. You can bury them, but not in the earth."} {"instruction": "A chat. Can a man living in New York be buried in Chicago?"} {"instruction": "A chat. If there are six apples and you take away four, how many do you have?"} {"instruction": "A chat. What has a head and a tail but no body?"} {"instruction": "A chat. I shave every day, but my beard stays the same. What am I?"} {"instruction": "A chat. A man leaves home jogging a little ways before making a left, jogging a little way more before making another left, after jogging a bit further he makes a final left and jogs back home where he sees two masked men waiting for him. Who are these men?"} {"instruction": "A chat. A beggar's brother went out to sea and drowned. But the man who drowned had no brother. Who was the beggar to the man who drowned?"} {"instruction": "A chat. If you drop a yellow hat in the Red Sea, what does it become?"} {"instruction": "A chat. I run through hills. I veer around mountains. I leap over rivers. And crawl through the forests. Step out your door to find me."} {"instruction": "A chat. What occurs once in every minute, twice in every moment, yet never in a thousand years?"} {"instruction": "A chat. A seed am I, three letters make my name. Take away two and I still sound the same."} {"instruction": "A chat. Used left or right, I get to travel over cobblestone or gravel. Used up, I vie for sweet success, used down, I cause men great duress."} {"instruction": "A chat. What is it that given one, you\u2019ll have either two or none?"} {"instruction": "A chat. Imagine you are in a dark room. How do you get out?"} {"instruction": "A chat. What does man love more than life, fear more than death or mortal strife. What the poor have, the rich require, and what contented men desire. What the miser spends, and the spendthrift saves. And all men carry to their graves."} {"instruction": "A chat. I start out tall, but the longer I stand, the shorter I grow. What am I?"} {"instruction": "A chat. I am two-faced but bear only one. I have no legs but travel widely. Men spill much blood over me. Kings leave their imprint on me. I have greatest power when given away, yet lust for me keeps me locked away."} {"instruction": "A chat. What do you throw out to use and take in when you're done?"} {"instruction": "A chat. You walk into a room with a match. There's a stove, a fireplace, and a torch. Which do you light first?"} {"instruction": "A chat. A man is replacing a wheel on his car, when he accidentally drops the four nuts used to hold the wheel onto the car. They fall into a deep drain, irretrievably lost. A passing girl offers him a solution that enables him to drive home. What is her solution?"} {"instruction": "A chat. I open wide and tight I shut, Sharp am I and paper-cut fingers too, so do take care, I'm good and bad, so best beware."} {"instruction": "A chat. I can sizzle like bacon, I am made with an egg. I have plenty of backbone, but lack a good leg. I peel layers like onions, but still remain whole. I can be long, like a flagpole, yet fit in a hole."} {"instruction": "A chat. Two horses, swiftest traveling, harnessed in a pair, and grazing ever in places. Distant from them."} {"instruction": "A chat. A muttered rumble was heard from the pen, and I, in my walking stopped to look in. What was this I saw? A massive beast, hoofed, and jawed. With spikes upon its mighty brow, I watched as he struck the turf and prowled. And yet for all of his magnificence, he couldn't get out of that wooden fence."} {"instruction": "A chat. It has no top or bottom, but it can hold flesh, bones, and blood all at the same time."} {"instruction": "A chat. I'm tall when I'm young, and I'm short when I'm old. What am I?"} {"instruction": "A chat. My first is twice in apple but not once in tart. My second is in liver but not in heart. My third is in giant and also in ghost. Whole I\u2019m best when I am roast."} {"instruction": "A chat. Soldiers line up spaced with pride. Two long rows lined side by side. One sole unit can decide, if the rows will unite or divide."} {"instruction": "A chat. We are five little objects of an everyday sort. You will find us all in a tennis court."} {"instruction": "A chat. What starts with a \u2018P\u2019, ends with an \u2018E\u2019 and has thousands of letters?"} {"instruction": "A chat. I look at you, you look at me, I raise my right, you raise your left."} {"instruction": "A chat. I sleep by day, I fly by night. I have no feathers to aid my flight."} {"instruction": "A chat. A man went to the hardware store to buy items for his house. 1 would cost $.25. 12 would cost $.50. 122 would cost $.75. When he left the store he had spent $.75, what did he buy?"} {"instruction": "A chat. You throw away the outside and cook the inside. Then you eat the outside and throw away the inside. What did you eat?"} {"instruction": "A chat. I go around in circles, but always straight ahead. Never complain, no matter where I am led."} {"instruction": "A chat. I cost no money to use, or conscious effort to take part of. And as far as you can see, there is nothing to me. But without me, you are dead."} {"instruction": "A chat. A farmer has 30 cows, and 28 chickens. How many didn't?"} {"instruction": "A chat. If a man carried my burden, he would break his back. I am not rich, but leave silver in my track."} {"instruction": "A chat. What can travel around the world while staying in a corner?"} {"instruction": "A chat. With sharp edged wit and pointed poise. It can settle disputes without making a noise."} {"instruction": "A chat. If you throw a red stone into the blue sea what it will become?"} {"instruction": "A chat. You see a house with two doors again. One door leads to certain death and the other door leads to a life full of riches. There are two guards, one in front of each door. Both guards know which door leads where. One guard always tells the truth and the other always lies. You do not know which guard is which, nor which door leads to the riches. You can ask one question to one guard. What should you ask to find the door to the riches?"} {"instruction": "A chat. During what month do people sleep the least?"} {"instruction": "A chat. So cold, damp and dark this place. To stay you would refrain, yet those who occupy this place do never complain."} {"instruction": "A chat. My love, when I gaze on thy beautiful face. Careering along, yet always in place, the thought has often come into my mind. If I ever shall see thy glorious behind."} {"instruction": "A chat. I am the tool, for inspiring many. Buy me in the store, for not much more than a penny. Don't overuse me, or my usefulness will go."} {"instruction": "A chat. I appear in the morning. But am always there. You can never see me. Though I am everywhere. By night I am gone, though I sometimes never was. Nothing can defeat me. But I am easily gone."} {"instruction": "A chat. They are many and one, they wave and they drum, Used to cover a state, they go with you everywhere."} {"instruction": "A chat. Hands she has but does not hold. Teeth she has but does not bite. Feet she has but they are cold. Eyes she has but without sight."} {"instruction": "A chat. There are 10 people in a house. Everybody wants to make a handshake with only people shorter than themselves. Assume everybody is different in height. How many handshakes will happen?"} {"instruction": "A chat. What has roots as nobody sees, is taller than trees. Up, up it goes, and yet never grows?"} {"instruction": "A chat. What has hands but cannot clap?"} {"instruction": "A chat. A man was driving a black truck. His lights were not on. The moon was not out. A lady was crossing the street. How did the man see her?"} {"instruction": "A chat. Take off my skin, I won't cry, but you will."} {"instruction": "A chat. Before Mount Everest was discovered, what was the highest mountain in the world?"} {"instruction": "A chat. You're in a race and you pass the person in second place. What place are you in now?\n"} {"instruction": "A chat. Double my number, I'm less than a score. Half of my number is less than four. Add one to my double when bakers are near. Days of the week are still greater, I fear."} {"instruction": "A chat. What goes up but never comes down?"} {"instruction": "A chat. Not born, but from a Mother's body drawn. I hang until half of me is gone. I sleep in a cave until I grow old. Then valued for my hardened gold."} {"instruction": "A chat. What can you hold in your right hand, but not in your left?"} {"instruction": "A chat. If an electric train is traveling south, which way does the smoke go?"} {"instruction": "A chat. If you have it, you want to share it. If you share it, you don't have it."} {"instruction": "A chat. A man gave one of his sons a gift. He told the son that if he lied about what was in the box, he would be killed by lions; but if he told the truth, he would be killed by tigers. The son didn't know what was in the box and wanted to avoid being killed. What did he say?\n"} {"instruction": "A chat. I crawl on the earth. And rise on a pillar."} {"instruction": "A chat. A boy kicks a soccer ball. It goes 10 feet and comes back to him. How is this possible?"} {"instruction": "A chat. My first master has four legs, my second master has two. My first I serve in life, my second I serve in death. Tough I am, yet soft beside. Against ladies cheeks I often reside."} {"instruction": "A chat. What kind of pet always stays on the floor?"} {"instruction": "A chat. Gold in a leather bag, swinging on a tree, money after honey in its time. Ills of a scurvy crew cured by the sea, reason in its season but no rhyme."} {"instruction": "A chat. Though desert men once called me God, today men call me mad. For I wag my tail when I am angry. And growl when I am glad."} {"instruction": "A chat. Although my cow is dead, I still beat her\u0085 What a racket she makes."} {"instruction": "A chat. This thing all things devours: Birds, beasts, trees, flowers; Gnaws iron, bites steel; Grinds hard stones to meal; Slays king, ruins town, And beats high mountains down."} {"instruction": "A chat. Break it and it is better, immediately set and harder to break again."} {"instruction": "A chat. What has many rings but no fingers?"} {"instruction": "A chat. Reaching stiffly for the sky, I bare my fingers when its cold. In warmth I wear an emerald glove and in between I dress in gold."} {"instruction": "A chat. You must keep this thing. Its loss will affect your brothers. For once yours is lost, it will soon be lost by others."} {"instruction": "A chat. I am the third from a sparkle bright, I thrive throughout the day and night. Deep in the path of a cows white drink. I've had thousands of millions of years to think. But one of my creatures is killing me. And so the question I ask to thee, is "} {"instruction": "A chat. Five hundred begins it, five hundred ends it. Five in the middle is seen. First of all figures, the first of all letters. Take up their stations between. Join all together, and then you will bring before you the name of an eminent king."} {"instruction": "A chat. I'm light as a feather, yet the strongest man can't hold me for more than 5 minutes. "} {"instruction": "A chat. I'm light as a feather, yet the strongest person can't hold me for five minutes. What am I?"} {"instruction": "A chat. No matter how little or how much you use me, you change me every month."} {"instruction": "A chat. The more you take away from me, the bigger I become. What am I?"} {"instruction": "A chat. I bind it and it walks. I loose it and it stops."} {"instruction": "A chat. A thousand colored folds stretch toward the sky. Atop a tender strand, rising from the land, until killed by maiden's hand. Perhaps a token of love, perhaps to say goodbye."} {"instruction": "A chat. Imagine you're in a room that is filling with water. There are no windows or doors. How do you get out?"} {"instruction": "A chat. Power enough to smash ships and crush roofs. Yet it still must fear the sun."} {"instruction": "A chat. Lovely and round, I shine with pale light, grown in the darkness, a lady's delight."} {"instruction": "A chat. If you had only one match and entered a dark room containing an oil lamp, some newspaper, and some kindling wood, which would you light first?"} {"instruction": "A chat. The person who makes it sells it. The person who buys it never uses it. The person who uses it doesn't know they're using it. What is it?"} {"instruction": "A chat. What is it that you must give before you can keep it."} {"instruction": "A chat. In marble halls as white as milk, lined with a skin as soft as silk. Within a fountain crystal-clear. A golden apple doth appear. No doors there are to this stronghold, yet thieves break in and steal the gold."} {"instruction": "A chat. I am an odd number. Take away one letter and I become even. What number am I?"} {"instruction": "A chat. What has legs but doesn\u2019t walk?"} {"instruction": "A chat. What can run but can\u2019t walk?"} {"instruction": "A chat. What has 13 hearts but no other organs?"} {"instruction": "A chat. What has many needles but isn't used for sewing?"} {"instruction": "A chat. A farmer has 17 sheep, and all but 9 die. How many are left?"} {"instruction": "A chat. If two\u2019s company and three\u2019s a crowd, what are four and five?"} {"instruction": "A chat. I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?"} {"instruction": "A chat. You can tumble in it, roll in it, burn it, animal eat it. Used to cover floors, still used beyond stall doors. Freshens whatever it is placed on. Absorbs whatever is poured into it."} {"instruction": "A chat. There are 3 apples for 2 sons and 2 fathers to eat. Each of them gets an apple. How can this be possible?"} {"instruction": "A chat. Two little holes in the side of a hill. Just as you come to the cherry-red mill."} {"instruction": "A chat. Three little letters. A paradox to some. The worse that it is, the better it becomes."} {"instruction": "A chat. What is put on a table, cut, but never eaten?"} {"instruction": "A chat. Today he is there to trip you up. And he will torture you tomorrow. Yet he is also there to ease the pain, when you are lost in grief and sorrow."} {"instruction": "A chat. I dig out tiny caves and store gold and silver in them. I also build bridges of silver and make crowns of gold. They are the smallest you could imagine. Sooner or later everybody needs my help. Yet many people are afraid to let me help them."} {"instruction": "A chat. I love to dance and twist and prance. I shake my tail, as away I sail. Wingless I fly into the sky."} {"instruction": "A chat. I usually wear a yellow coat. I usually have a dark head. I make marks wherever I go."} {"instruction": "A chat. The more you take away from it, the larger it becomes. What is it?"} {"instruction": "A chat. I am free for the taking. Through all of your life, though given but once at birth. I am less than nothing in weight, but will fell the strongest of you if held."} {"instruction": "A chat. Twigs and spheres and poles and plates. Join and bind to reason make."} {"instruction": "A chat. Creatures of power, creatures of grade, creatures of beauty, creatures of strength. As for their lives, they set everything's pace. For all things must come to live. Under their emerald embrace\u0085Either in their life or in their death."} {"instruction": "A chat. What has an eye but can\u2019t see?"} {"instruction": "A chat. What has a neck and no head, two arms but no hands?"} {"instruction": "A chat. Iron roof, glass walls, burns and burns and never falls."} {"instruction": "A chat. To cross the water I'm the way, for water I'm above. I touch it not and, truth to say, I neither swim nor move."} {"instruction": "A chat. I march before armies, a thousand salute me. My fall can bring victory, but no one would shoot me. The wind is my lover, one-legged am I. Name me and see me at home in the sky."} {"instruction": "A chat. There are 10 fish in a tank. Two drown, four swim away, three die. How many are left?"} {"instruction": "A chat. A word I know, six letters it contains, remove one letter, and twelve remains. What is the word?"} {"instruction": "A chat. The one who makes it, sells it. The one who buys it, never uses it. The one that uses it never knows that he\u2019s using it. "} {"instruction": "A chat. A man looks at a painting in a museum and says, \"Brothers and sisters I have none, but that man's father is my father's son.\" Who is in the painting?"} {"instruction": "A chat. A skin have I, more eyes than one. I can be very nice when I am done."} {"instruction": "A chat. What is full of holes but still holds water?"} {"instruction": "A chat. I am the hole in the night, the ever watchful eye. I return in a cycle, to enlighten the sky."} {"instruction": "A chat. I have keys but open no locks, with space but no room and allow you to enter but not get in. What am I?"} {"instruction": "A chat. What kind of band never plays music?"} {"instruction": "A chat. I'm a god. I'm a planet. I measure heat."} {"instruction": "A chat. I build up castles. I tear down mountains. I make some men blind. I help others to see."} {"instruction": "A chat. I went to the woods and got it, when i got it didn\u2019t want it, looked for it, couldn\u2019t find it so I took it home."} {"instruction": "A chat. There are 12 apples on a tree and you took away 2. How many do you have now?"} {"instruction": "A chat. Which month has 28 days?"} {"instruction": "A chat. Long and think, red within, with a nail at the end."} {"instruction": "A chat. You see a cabin with two doors. One door leads to certain death by lions who haven't eaten in years, and the other door leads to freedom. Both doors look exactly the same. How do you choose the door to freedom without getting eaten?"} {"instruction": "A chat. If you have me, you want to share me. If you share me, you haven't got me. What am I?"} {"instruction": "A chat. Mary's father has five daughters \u2013 Nana, Nene, Nini, Nono. What is the fifth daughter\u2019s name?"} {"instruction": "A chat. A rooster lays an egg on top of a triangular roof. Which side does the egg roll down?"} {"instruction": "A chat. What is at the end of a rainbow?"} {"instruction": "A chat. You can see nothing else, When you look in my face, I will look you in the eye, And I will never lie."} {"instruction": "A chat. A plane crashes on the border of the United States and Canada. Where do they bury the survivors?\n"} {"instruction": "A chat. There was a greenhouse. Inside the greenhouse there was a white house. Inside the white house there was a red house. Inside the red house there were lots of babies. What is it?"} {"instruction": "A chat. Which letter of the alphabet has the most water?"} {"instruction": "A chat. What can fill a room but takes up no space?"} {"instruction": "A chat. At night I come without being fetched. By day I am lost without being stolen."} {"instruction": "A chat. You see a house with two doors. One door leads to certain death and the other door leads to a million dollars. There are two robots, one at each door. One robot always tells the truth and the other always lies. You do not know which robot is which, nor which door leads to the money. You can ask only one question to one of the robots. What should you ask to find the door that leads to the money?"} {"instruction": "A chat. You see a boat filled with people. It has not sunk, but when you look again, you don't see a single person on the boat. Why?"} {"instruction": "A chat. What has many rings, but no fingers?"} {"instruction": "A chat. A man is found dead in a field. Next to him, there is an unopened package. There's no other creature or human being around. How did he die?"} {"instruction": "A chat. What word is the same written forward, backward and upside down?"} {"instruction": "A chat. What has teeth but can\u2019t bite?"} {"instruction": "A chat. What kind of nut is empty at the center and has no shell."} {"instruction": "A chat. Some months have 31 days, others have 30 days. But how many have 28 days?"} {"instruction": "A chat. All about the house, with his lady he dances, yet he always works, and never romances."} {"instruction": "A chat. It's in your hand though you can not feel it. Only you and time can reveal it."} {"instruction": "A chat. How can you throw a ball such that it goes a short distance, comes to a complete stop, reverses its direction, and then returns to your hand without touching anything else?"} {"instruction": "A chat. There are three important rooms in a house. The first one is filled with valuable paintings, the second one is filled with money, and the third one is filled with gold and precious jewels. One day, the house catches fire. Which room will the firefighters put out the fire in first?"} {"instruction": "A chat. Two fathers and two sons go fishing together. They each catch one fish, but only bring home three fish total. How is this possible?"} {"instruction": "A chat. A slow, solemn square-dance of warriors feinting. One by one they fall, warriors fainting, thirty-two on sixty-four."} {"instruction": "A chat. A woman lives on the tenth floor of a building. Every day she takes the elevator from her apartment to ground level. If it's raining or if there are other people in the elevator, she goes straight back up to her tenth-floor apartment when she returns. However, if it's not raining and she's alone, she goes only to the seventh floor and walks the rest of the way up. Why?"} {"instruction": "A chat. You see a cabin with two doors. One door leads to certain death and the other door leads to freedom. There are two robots, one in front of each door. One robot always tells the truth and the other always lies. You do not know which robot is which, nor which door leads to freedom. You can ask only one question to one of the robots. What should you ask to find the way to freedom?"} {"instruction": "A chat. What runs around all day. Then lies under the bed. With its tongue hanging out?"} {"instruction": "A chat. You have a bee in your hand. What's in your eye?"} {"instruction": "A chat. Born of earth, but with none of its strength. Molded by flame, but with none of its power. Shaped"} {"instruction": "A chat. My second is performed by my first, and it is thought a thief by the marks of my whole might be caught."} {"instruction": "A chat. Thousands lay up gold within this house. But no man made it. Spears past counting guard this house, but no man wards it."} {"instruction": "A chat. What belongs to you but other people use it more than you?"} {"instruction": "A chat. A girl kicks a soccer ball. It goes 10 feet and comes back to her. How is this possible?"} {"instruction": "A chat. I'm white, I'm round, but not always around. Sometimes you see me, sometimes you don't."} {"instruction": "A chat. A man shaves several times a day, yet he still has a beard. Who is this man?"} {"instruction": "A chat. Some try to hide, some try to cheat. But time will show, we always will meet. Try as you might, to guess my name. I promise you'll know, when you I do claim."} {"instruction": "A chat. How can you throw a ball as hard as you can and have it come back to you, even if it doesn't hit anything or bounce off anything?"} {"instruction": "A chat. Two in a whole and four in a pair. And six in a trio you see. And eight's a quartet but what you must get. Is the name that fits just one of me?"} {"instruction": "A chat. In a year, some months have 30 days, while some have 31. How many months have 28 days?"} {"instruction": "A chat. This is in a realm of true and in a realm false, but you experience me as you turn and toss."} {"instruction": "A chat. Two fathers and two sons go fishing. Each of them catches one fish. So why do they bring home only three fishes?"} {"instruction": "A chat. There are two meanings to me. With one I may need to be broken, with the other I hold on. My favorite characteristic is my charming dimple."} {"instruction": "A chat. What disappears as soon as you say its name?"} {"instruction": "A chat. What has four fingers and a thumb, but is not living?"} {"instruction": "A chat. A red house is made from red bricks. A blue house is made from blue bricks. A yellow house is made from yellow bricks. What is a green house made from?"} {"instruction": "A chat. There are three light switches outside a room. Inside the room is a single light bulb. You can only enter the room once, and you cannot see inside the room from the outside. How can you determine which switch controls the light bulb?"} {"instruction": "A chat. You use a knife to slice my head. And weep beside me when I am dead."} {"instruction": "A chat. I have a hundred legs, but cannot stand. I have a long neck, but no head. I cannot see. I'm neat and tidy as can be."} {"instruction": "A chat. They made me a mouth, but didn't give me breath. Water gives me life, but the sun brings me death."} {"instruction": "A chat. My first is in wield, sever bones and marrow. My second is in blade, forged in cold steel. My third is an arbalest, and also in arrows. My fourth is in power, plunged through a shield. My fifth is in honor, and also in vows. My last will put an end to it all."} {"instruction": "A chat. In a certain country, half of the population always tells the truth while the other half always lies. You come across two people, Alice and Bob. Alice says \"At least one of us is a liar.\" Is Alice telling the truth or lying?"} {"instruction": "A chat. A man was driving his truck. His lights were not on. The moon was not out. Up ahead, a woman was crossing the street. How did he see her?"} {"instruction": "A chat. What goes around the world and stays in a corner?"} {"instruction": "A chat. Feed me and I live, give me drink and I die. What am I?"} {"instruction": "A chat. A time when they're green. A time when they're brown. But both of these times, cause me to frown. But just in between, for a very short while. They're perfect and yellow. And cause me to smile."} {"instruction": "A chat. What has 13 hearts but none beat?"} {"instruction": "A chat. What can you hold without ever touching or using your hands?"} {"instruction": "A chat. Blend a teapot shot so the pearlies won\u2019t rot!"} {"instruction": "A chat. A man was found dead in his study. He was slumped over his desk and a gun was in his hand. There was a cassette recorder on his desk. When the police entered the room and pressed the play button on the tape recorder they heard: \u201cI can\u2019t go on. I have nothing to live for.\u201d Then the sound of a gunshot. After listening to the tape, the police knew that it was not a suicide but a homicide. How did they know?"} {"instruction": "A chat. What can you catch, but not throw?"} {"instruction": "A chat. I have rivers without water. Forests without trees. Mountains without rocks. Towns without houses."} {"instruction": "A chat. What flies without wings? What passes all things? What mends all sorrow? What brings the morrow?"} {"instruction": "A chat. What starts with an \u2018E\u2019, ends with an \u2018E\u2019 and usually contains only one letter?"} {"instruction": "A chat. A house of wood in a hidden place. Built without nails or glue. High above the earthen ground. It holds pale gems of blue."} {"instruction": "A chat. What has hands but can\u2019t clap?"} {"instruction": "A chat. What begins and has no end? What is the ending of all that begins?"} {"instruction": "A chat. A man is looking at a photograph of someone. His friend asks who it is. The man replies, \"Brothers and sisters, I have none. But that man's father is my father's son.\" Who was in the photograph?"} {"instruction": "A chat. What has many needles, but doesn\u2019t sew?"} {"instruction": "A chat. I am a box that holds keys without locks, yet they can unlock your soul. "} {"instruction": "A chat. Ripped from my mother's womb. Beaten and burned, I become a blood thirsty killer."} {"instruction": "A chat. Inside a great blue castle lives a shy young maid. She blushes in the morning and comes not out at night."} {"instruction": "A chat. What has cities, but no houses; forests, but no trees; and rivers, but no water?"} {"instruction": "A chat. Screaming, soaring seeking sky. Flowers of fire flying high. Eastern art from ancient time. Name me now and solve this rhyme."} {"instruction": "A chat. How can you drop a raw egg onto a concrete floor without cracking it?"} {"instruction": "A chat. You walk into a room that contains a match, a kerosene lamp, a candle, and a fireplace. What would you light first?"} {"instruction": "A chat. I cannot be felt, seen or touched. Yet I can be found in everybody. My existence is always in debate. Yet I have my own style of music."} {"instruction": "A chat. What gets broken without being held?"} {"instruction": "A chat. In we go, out we go. All around and in a row. Always, always steady flow. When we'll stop, you'll never known. In we go, out we go."} {"instruction": "A chat. If you drop a yellow hat into the Red Sea, what does it become?"} {"instruction": "A chat. I am not alive, but I grow; I don't have lungs, but I need air; I don't have a mouth, but water kills me. What am I?"} {"instruction": "A chat. If a plane crashes on the border between the United States and Mexico, where do you bury the survivors?"} {"instruction": "A chat. Inside a burning house, this thing is best to make. And best to make it quickly, before the fire's too much to take."} {"instruction": "A chat. A man leaves home, turns left three times and returns home where he finds two men wearing masks. Who are those two men?"} {"instruction": "A chat. What word has kst in the middle, in the beginning, and at the end?"} {"instruction": "A chat. I can run but not walk. Wherever I go, thought follows close behind."} {"instruction": "A chat. You heard me before, yet you hear me again, then I die. Until you call me again."} {"instruction": "A chat. What goes further the slower it goes?"} {"instruction": "A chat. What has four fingers and a thumb but isn't alive?"} {"instruction": "A chat. What goes through a door but never goes in. And never comes out?"} {"instruction": "A chat. What goes up and down but doesn\u2019t move?"} {"instruction": "A chat. A girl has as many brothers as sisters, but each brother has only half as many brothers as sisters. How many brothers and sisters are there in the family?"} {"instruction": "A chat. What always goes to bed with his shoes on?"} {"instruction": "A chat. Which weighs more, a pound of feathers or a pound of rocks?"} {"instruction": "A chat. Late afternoons I often bathe. I'll soak in water piping hot. My essence goes through. My see through clothes. Used up am I - I've gone to pot."} {"instruction": "A chat. A woman gives a beggar 50 cents; the woman is the beggar\u2019s sister, but the beggar is not the woman\u2019s brother. How come?"} {"instruction": "A chat. He stands beside the road. In a purple cap at tattered green cloak. Those who touch him, curse him."} {"instruction": "A chat. Black we are and much admired. Many seek us if they are tired. We tire the horse, and comfort man, and turn White when we've fulfilled your plan."} {"instruction": "A chat. Forward I\u2019m heavy, but backwards I\u2019m not. "} {"instruction": "A chat. I don't think or eat or slumber. Or move around or fear thunder. Just like you I look the same but I can't harm you or be your bane."} {"instruction": "A chat. A mile from end to end, yet as close to as a friend. A precious commodity, freely given. Seen on the dead and on the living. Found on the rich, poor, short and tall, but shared among children most of all. "} {"instruction": "A chat. What has wings, but can not fly. Is enclosed, but can outside also lie. Can open itself up, or close itself away. Is the place of kings and queens and doggerel of every means. What is it upon which I stand? Which can lead us to different lands."} {"instruction": "A chat. What starts with a 'T', ends with a 'T', and has T in it?"} {"instruction": "A chat. A dagger thrust at my own heart, dictates the way I'm swayed. Left I stand, and right I yield, to the twisting of the blade."} {"instruction": "A chat. Fatherless and motherless. Born without sin, roared when it came into the world. And never spoke again."} {"instruction": "A chat. How many bricks does it take to complete a building made of brick?"} {"instruction": "A chat. Two bodies have I, though both joined in one. The more still I stand, the quicker I run."} {"instruction": "A chat. A dragons tooth in a mortals hand, I kill, I maim, I divide the land."} {"instruction": "A chat. I have keys but no locks. I have space but no room. You can enter but can't go outside. What am I?"} {"instruction": "A chat. What comes once in a lifetime, twice in a moment, but never in one hundred years?"} {"instruction": "A chat. If a red house is made from red bricks, a blue house is made from blue bricks, and a yellow house is made from yellow bricks, what is a greenhouse made from?"} {"instruction": "A chat. I have many feathers to help me fly. I have a body and head, but I'm not alive. It is your strength which determines how far I go. You can hold me in your hand, but I'm never thrown."} {"instruction": "A chat. I fly without wings, I cry without eyes. Wherever I go, darkness follows me. What am I?"} {"instruction": "A chat. Come up and let us go. Go down and here we stay."} {"instruction": "A chat. What has a heart that doesn\u2019t beat?"} {"instruction": "A chat. What has to be broken before it can be used?"} {"instruction": "A chat. Who spends the day at the window, goes to the table for meals. And hides at night?"} {"instruction": "A chat. You are driving a bus with 7 passengers on board. At the first stop, 4 people get off and 3 new passengers get on. At the next stop, 2 people get off and 5 new passengers get on. At the third stop, 6 people get off and 1 new passenger gets on. How old is the bus driver?"} {"instruction": "A chat. What can burn the eyes, sting the mouth, yet be consumed?"} {"instruction": "A chat. I pass before the sun, but make no shadow. "} {"instruction": "A chat. The sun bakes them, the hand breaks them, the foot treads on them, and the mouth tastes them."} {"instruction": "A chat. There\u2019s a one-story house where everything is yellow. Yellow walls, yellow doors, yellow furniture. What color are the stairs?"} {"instruction": "A chat. Always wax, yet always wane: I melt, succumbed to the flame. Lighting darkness, with fate unblest, I soon devolve to shapeless mess."} {"instruction": "A chat. How far will a blind dog walk into a forest?"} {"instruction": "A chat. A man has a bee in his hand. What's in his eye?"} {"instruction": "A chat. You are running in a race and pass the person in second place. What place are you now in?"} {"instruction": "A chat. There are 10 birds sitting on a power line. A hunter shoots one of them. How many birds remain on the power line?"} {"instruction": "A chat. If a plane crashes on the border between the United States and Canada, where do they bury the survivors?"} {"instruction": "A chat. Forward I am heavy, but backward I am not. What am I?"} {"instruction": "A chat. It\u2019s been around for millions of years, but it\u2019s no more than a month old. What is it?"} {"instruction": "A chat. What goes up and down but does not move?"} {"instruction": "A chat. If you throw me out the window, you'll leave a grieving wife. Bring me back, but through the door, You could be giving someone life. What am I?"} {"instruction": "A chat. I have one, you have one. If you remove the first letter, a bit remains. If you remove the second, bit still remains. If you remove the third, it still remains."} {"instruction": "A chat. A rooster lays an egg on top of a barn roof. Which way does it roll?"} {"instruction": "A chat. As round as an apple. As deep as a cup. All the king's horses can't pull it up."} {"instruction": "A chat. If you break me, I do not stop working. If you touch me, I may be snared. If you lose me, nothing will matter."} {"instruction": "A chat. You walk into a room with a match. There's a stove, a kerosene lamp, and a fireplace. Which do you light first?\n"} {"instruction": "A chat. A woman shoots her husband, then holds him underwater for five minutes. Next, she hangs him. Right after, they enjoy a lovely dinner together. How can this be?"} {"instruction": "A chat. What travels around the world but stays in one spot?"} {"instruction": "A chat. I have split the one into five. I am the circle that few will spy. I am the path that breaks and gives. I am the bow no man may bend."} {"instruction": "A chat. A man is looking at a photograph of someone. His friend asks who it is. The man replies, \"Brothers and sisters, I have none. But that man's father is my father's son.\" Who was in the picture?"} {"instruction": "A chat. If you throw a red stone into the blue sea, what will it become?"} {"instruction": "A chat. Mary\u2019s father has five daughters \u2013 Nana, Nene, Nini, Nono. What is the fifth daughter\u2019s name?"} {"instruction": "A chat. In a year, some months have 30 days, while others have 31. How many months have 28 days?"} {"instruction": "A chat. I fly, yet I have no wings. I cry, yet I have no eyes. Darkness follows me. Lower light I never see."} {"instruction": "A chat. As light as a feather, but you can\u2019t hold it for ten minutes."} {"instruction": "A chat. A red drum which sounds without being touched, and grows silent, when it is touched."} {"instruction": "A chat. I hide but my head is outside."} {"instruction": "A chat. What building has the most stories?"} {"instruction": "A chat. A man walks into a town on Friday, stays for three nights and leaves on Friday. How is this possible?"} {"instruction": "A chat. What goes through the door without pinching itself? What sits on the stove without burning itself? What sits on the table and is not ashamed?"} {"instruction": "A chat. How can a pocket be empty and still have something in it?"} {"instruction": "A chat. There is a one-story house where everything is yellow - the walls, the doors, the furniture. What color are the stairs?"} {"instruction": "A chat. If Mr Smith's peaco*ck lays an egg in Mr Jones' yard, who owns the egg?"} {"instruction": "A chat. We travel much, yet prisoners are, and close confined to boot. Yet with any horse, we will keep the pace, and will always go on foot."} {"instruction": "A chat. Without a bridle, or a saddle, across a thing I ride a-straddle. And those I ride, by help of me, though almost blind, are made to see."} {"instruction": "A chat. A man walks into a bar and asks the bartender for a glass of water. The bartender pulls out a gun, points it at the man, and the man says thank you. Why?"} {"instruction": "A chat. I fly through the air on small feathered wings, seeking out life and destroying all things."} {"instruction": "A chat. What word is spelled incorrectly in every single dictionary?"} {"instruction": "A chat. You see a house with two doors. One door leads to certain death and the other door leads to freedom. There are two guards, one in front of each door. One guard always tells the truth and the other always lies. You do not know which guard is which, nor which door leads to freedom. You can ask one question to one guard to determine the safe door. What should you ask?"} {"instruction": "A chat. A man pushes his car to a hotel and tells its owner that he is bankrupt. Why?"} {"instruction": "A chat. What has many needles, but isn\u2019t used for sewing?"} {"instruction": "A chat. What surrounds the world, yet dwells within a thimble?"} {"instruction": "A chat. What can bring back the dead. Make us cry, make us laugh, make us young. Born in an instant yet lasts a life time?"} {"instruction": "A chat. A man pushes his car to a hotel and tells the owner he's bankrupt. Why did he do this?\n"} {"instruction": "A chat. What word looks the same backwards and upside down?"} {"instruction": "A chat. A woman shoots her husband, then holds him underwater for five minutes. Next, she hangs him. Right after, they enjoy a lovely dinner. Explain."} {"instruction": "A chat. There was an old woman who lived in a shoe. She had so many children she didn\u2019t know what to do. How did she figure it out?"} {"instruction": "A chat. Halo of water, tongue of wood. Skin of stone, long I've stood. My fingers short reach to the sky. Inside my heart men live and die."} {"instruction": "A chat. A man lives on the 20th floor of a building. Every day he takes the elevator down to the ground floor to leave the building. When he comes back, he takes the elevator to the 7th floor and walks up the stairs to reach his apartment on the 20th floor. Why does he do this?"} {"instruction": "A chat. I'm not really more than holes tied to more holes. I'm strong as good steel, though not as stiff as a pole."} {"instruction": "A chat. A man has 53 socks in his drawer. They are either red, blue, or green. The lights go out and he needs to get a matching pair of socks. What is the minimum number of socks he must take out to ensure he has a matching pair?"} {"instruction": "A chat. Whoever makes it, tells it not. Whoever takes it, knows it not. Whoever knows it, wants it not"} {"instruction": "A chat. A word I know, six letters it contains, subtract just one, and twelve remains. What is the word?"} {"instruction": "A chat. What has four eyes but can\u2019t see?"} {"instruction": "A chat. Bright as diamonds, Loud as thunder, Never still, A thing of wonder."} {"instruction": "A chat. A farmer had 15 sheep, and all but 8 died. How many are left?"} {"instruction": "A chat. How many animals did Moses take on the ark?\n"} {"instruction": "A chat. Tool of thief, toy of queen. Always used to be unseen. Sign of joy, sign of sorrow. Giving all likeness borrowed."} {"instruction": "A chat. There are 3 switches outside of a room. One corresponds to a light bulb inside the room, the other two do nothing. You need to figure out which switch operates the bulb. You can turn the switches on and off and leave them in any position. How would you identify which switch operates the bulb if you are only allowed one entrance into the room?"} {"instruction": "A chat. A house full, a yard full, a chimney full, no one can get a spoonful."} {"instruction": "A chat. Two fathers and two sons went fishing one day. They were there the whole day and only caught 3 fish. One father said, that is enough for all of us, we will have one each. How can this be possible?"} {"instruction": "A chat. I'm full of holes, yet I'm full of water."} {"instruction": "A chat. Mountains will crumble and temples will fall. And no man can survive its endless call."} {"instruction": "A chat. A man is found dead in a field with an unopened package next to him. There are no other people or animals around, and there are no footprints near the body. How did he die?"} {"instruction": "A chat. Each morning I appear to lie at your feet, all day I follow no matter how fast you run. Yet I nearly perish in the midday sun."} {"instruction": "A chat. You throw away the outside and cook the inside. Then you eat the outside and throw away the inside. What did you just eat?"} {"instruction": "A chat. You have two coins that add up to 30 cents, but one of them isn't a nickel. What are the two coins?\n"} {"instruction": "A chat. How can you leave a room with two legs and return with six legs?"} {"instruction": "A chat. Three men enter a room and lock the door behind them. When they leave, two of the men have wet hair but one has dry hair. They didn't use any water inside the room. How is this possible?"} {"instruction": "A chat. A harvest sown and reaped on the same day in an unplowed field. Which increases without growing, remains whole though it is eaten within and without. Is useless and yet the staple of nations."} {"instruction": "A chat. What is it that has four legs, one head, and a foot?"} {"instruction": "A chat. A man lives on the 10th floor of a building. Every day he takes the elevator down to the ground floor to leave the building. When he returns, he always takes the elevator to the 7th floor and then walks up the stairs to the 10th floor, even if it's raining or he has heavy shopping bags. Why does he do this?"} {"instruction": "A chat. What I am filled, I can point the way. When I am empty. Nothing moves me. I have two skins. One without and one within."} {"instruction": "A chat. My children are near and far. No matter that I know where they are. The gift I give them make their day. But if I were gone they would wander away."} {"instruction": "A chat. The man who made it didn't need it. The man who bought it didn't use it. The man who used it didn't want it."} {"instruction": "A chat. Who is he that runs without a leg. And his house on his back?"} {"instruction": "A chat. Two men are playing chess. They play five games. Each man wins three games. How is this possible?"} {"instruction": "A chat. What is round as a dishpan, deep as a tub, and still the oceans couldn't fill it up?"} {"instruction": "A chat. I weaken all men for hours each day. I show you strange visions while you are away. I take you by night, by day take you back. None suffer to have me, but do from my lack."} {"instruction": "A chat. A woman lives on the tenth floor of an apartment building. Every morning she takes the elevator all the way down to the ground floor and goes to work. In the evening, when she comes back from work, she uses the elevator to get to the fourth floor, and then uses the stairs for the remaining floors. Why does she do this?"} {"instruction": "A chat. There's a one-story house where everything inside is pink: pink walls, pink doors, pink floors, pink ceilings, pink furniture. What color are the stairs?"} {"instruction": "A chat. I can be cracked, I can be made. I can be told, I can be played."} {"instruction": "A chat. Whilst I was engaged in sitting. I spied the dead carrying the living"} {"instruction": "A chat. The more you take away, the larger it becomes? What is it?"} {"instruction": "A chat. What has words, but never speaks?"} {"instruction": "A chat. What can be seen once in a minute, twice in a moment, but never in a thousand years?"} {"instruction": "A chat. What is long and slim, works in light. Has but one eye, and an awful bite?"} {"instruction": "A chat. They have not flesh, nor feathers, nor scales, nor bone. Yet they have fingers and thumbs of their own."} {"instruction": "A chat. What has many teeth, but can\u2019t bite?"} {"instruction": "A chat. What goes in the water black and comes out red?"} {"instruction": "A chat. I am never quite what I appear to be. Straight-forward I seem, but it's only skin deep. For mystery most often lies beneath my simple speech. Sharpen your wits, open your eyes, look beyond my exteriors, read me backwards, forwards, upside down. Think and answer the question..."} {"instruction": "A chat. What can you catch but never throw?"} {"instruction": "A chat. The sharp slim blade, that cuts the wind."} {"instruction": "A chat. I am a fire's best friend. When fat, my body fills with wind. When pushed to thin, through my nose I blow. Then you can watch the embers glow."} {"instruction": "A chat. It holds most knowledge that has ever been said. But is not the brain, is not the head. To feathers and their masters, it's both bane and boon\u0085One empty, and one full."} {"instruction": "A chat. I'm the source of all emotion, but I'm caged in a white prison."} {"instruction": "A chat. Scythe of darkness, Shadow\u2019s light. Guiding eye of thirteenth sight."} {"instruction": "A chat. If it takes eight men ten hours to build a wall, how long would it take four men to build the same wall?"} {"instruction": "A chat. A man gives one son 10 cents and another son was given 15 cents. What time is it?"} {"instruction": "A chat. A woman shoots her husband, then holds him underwater for five minutes. Next, she hangs him. Right after, they enjoy a lovely dinner. How can this be?"} {"instruction": "A chat. You see a house with two doors. One door leads to certain death and the other door leads to freedom. There are two guards, one in front of each door. One guard always tells the truth and the other always lies. You do not know which guard is which, nor which door leads to freedom. You can ask only one question to one of the guards. What should you ask to find the way to freedom?"} {"instruction": "A chat. Runs over fields and woods all day. Under the bed at night sits not alone, With long tongue hanging out, Resting at your feet until we go for a walk"} {"instruction": "A chat. I have legs but walk not, a strong back but work not. Two good arms but reach not. A seat but sit and tarry not."} {"instruction": "A chat. What measures out time. Until in time all is smashed to it?"} {"instruction": "A chat. Two men play five games of checkers. Each wins the same number of games. There are no ties. How could this happen?"} {"instruction": "A chat. Flat as a leaf, round as a ring. Has two eyes, can't see a thing."} {"instruction": "A chat. A woman has 7 children, half of them are boys. How is this possible?"} {"instruction": "A chat. What has words but never speaks?"} {"instruction": "A chat. There are 20 birds sitting on a fence. If you shoot one bird, how many birds will remain on the fence?"} {"instruction": "A chat. Let X be a topological space. Prove that if every open cover of X has a finite subcover, then X is compact."} {"instruction": "A chat. In a certain city, there are 120,000 registered voters. If 60% of them vote in an upcoming election, how many people will not vote?"} {"instruction": "A chat. An ice cream shop sells 6 different flavors of ice cream and offers 3 types of cones. How many different single-scoop ice cream cone options does a customer have? Include your reasoning."} {"instruction": "A chat. There are 100 students in a class. Each student has either a cat or a dog as a pet. For every 3 students with a cat, there are 2 students with a dog. How many students have cats and how many have dogs?"} {"instruction": "A chat. In a room, there are 4 people. Each person has one secret they share with only one other person in the room. How many secrets are there in total?"} {"instruction": "A chat. A factory produces 500 units of a product per day, and each unit sells for $20. If the production cost is $8 per unit, what is the daily profit?"} {"instruction": "A chat. A construction company is bidding on a large infrastructure project that requires building several bridges over a five-year period. The company needs to estimate the total cost of materials, labor, and equipment rentals for the duration of the project. They also need to account for factors such as inflation, fluctuations in material prices, and potential delays due to weather or other unforeseen circ*mstances. Develop a comprehensive cost estimation model and describe your reasoning."} {"instruction": "A chat. In a town, there are 100 houses. Every house has a dog, and every dog barks at exactly one cat. There are also 100 cats in the town, and each cat is scared of exactly one dog. How many animals are afraid of dogs?"} {"instruction": "A chat. In how many ways can you choose 3 books from a shelf containing 7 math books, 5 physics books, and 4 chemistry books if at least one book must be a math book?"} {"instruction": "A chat. An airline is evaluating the feasibility of introducing non-stop flights between two major cities that are currently connected only through connecting flights. The distance between the cities is 4,500 miles, and the airline expects to carry an average of 250 passengers per flight. Determine the type of aircraft needed for this route, taking into consideration factors such as range, fuel consumption, and passenger comfort. Also, calculate the estimated ticket price needed to cover operational costs and generate a profit margin of at least 10%.\n"} {"instruction": "A chat. If you have a rectangular garden with a length of 30 meters and a width of 20 meters, what is the area of the garden in square meters? And how much fencing do you need to enclose it completely?"} {"instruction": "A chat. A group of people are planning a road trip. They want to split the cost of gas evenly among themselves. If the car gets 25 miles per gallon and they plan to travel 600 miles round-trip, and the current price of gas is $3.00 per gallon, how much should each person contribute if there are 5 people going on the trip?"} {"instruction": "A chat. A triangle has a base of 10 meters and a height of 12 meters. What is the area of the triangle?"} {"instruction": "A chat. In a town, 60% of the population are adults. Among the adults, 40% have children. If there are 6000 people in the town, how many adults do not have children?"} {"instruction": "A chat. A train travels at an average speed of 80 kilometers per hour and takes 3 hours to reach its destination. If the train's speed was increased by 20 kilometers per hour, how long would it take to reach the same destination?"} {"instruction": "A chat. A food processing company wants to optimize its production line by reducing waste and improving efficiency. The current production process generates 10% waste, and the company aims to reduce this number to 5%. Calculate the potential savings in raw materials if the company processes 1000 tons of raw material per day at a cost of $200 per ton. Also, estimate the annual savings, considering that the plant operates 300 days a year.\n"} {"instruction": "A chat. A car rental company has a fleet of 200 vehicles, consisting of compact cars, sedans, and SUVs. Compact cars make up 40% of the fleet, sedans 35%, and SUVs 25%. The daily rental rates are $30 for compact cars, $45 for sedans, and $60 for SUVs. On average, 70% of the fleet is rented out each day. Calculate the company's average daily revenue and provide a step-by-step explanation of your calculation.\n"} {"instruction": "A chat. A farmer has a field with four corners marked by posts A, B, C, and D. Post A is 500 meters from post B, post B is 300 meters from post C, and post C is 400 meters from post D. If the farmer wants to fence his field using the shortest possible distance, how long should the fence be?"} {"instruction": "A chat. If a store offers a discount on bulk purchases where you get 20% off for every additional item purchased after the first one, how much would it cost to buy 4 items priced at $50 each?"} {"instruction": "A chat. A team of two painters can paint a room in 5 hours. How long will it take to paint four rooms?"} {"instruction": "A chat. A store sells a pack of pens for $12. If each pen costs the same amount and there are 8 pens in a pack, how much does each pen cost?"} {"instruction": "A chat. A train leaves Station A at 60 mph heading towards Station B, which is 180 miles away. At the same time, another train leaves Station B at 40 mph heading towards Station A. If a bird starts flying at 100 mph between the two trains when they start moving, how far will the bird travel before the trains collide?"} {"instruction": "A chat. If a book has 200 pages and each page has 250 words, how many words are there in the whole book? Provide step-by-step logic."} {"instruction": "A chat. A factory produces 500 units of a product per day. If each unit requires 0.75 kilograms of raw material, how many tons of raw material are needed to produce the products for 30 days?"} {"instruction": "A chat. A factory produces 200 widgets per hour. Due to a malfunction, every fifth widget produced is defective. How many non-defective widgets are produced in an 8-hour workday?"} {"instruction": "A chat. There are two clocks on a wall. One clock gains 1 minute every hour, while the other loses 2 minutes every hour. At noon, both clocks show the correct time. What will be the first time they both show the same time again?"} {"instruction": "A chat. In a class of 30 students, the ratio of boys to girls is 3:2. How many boys and girls are there in the class?"} {"instruction": "A chat. There are 5 apples on a table. You take away 2. How many do you have?"} {"instruction": "A chat. A bag contains 8 red marbles, 5 blue marbles, and 7 green marbles. If you draw three marbles at random without replacement, what is the probability that you will get one marble of each color?"} {"instruction": "A chat. A group of friends went on a hiking trip. They hiked 8 miles on the first day, 12 miles on the second day, and 16 miles on the third day. On the fourth day, they decided to hike half the distance they covered on the previous day. How many miles did they hike in total during the four days?"} {"instruction": "A chat. ((4^2 * 3) / 2) + (5 * 8) - 10 ="} {"instruction": "A chat. A factory produces 100 widgets per hour. Each widget has a 5% chance of being defective. The factory operates for 8 hours a day. On average, how many defective widgets are produced in one day?"} {"instruction": "A chat. If you drive at an average speed of 60 mph for 3 hours and then increase your speed to 75 mph for another 2 hours, how far have you traveled in total?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 6 feet and a height of 12 feet. What is its volume in cubic feet?"} {"instruction": "A chat. In a school, there are 500 students. If 60% of them play soccer and 40% of those who play soccer also play basketball, how many students play both soccer and basketball?"} {"instruction": "A chat. A rectangle has a length of 10 inches and a width of 6 inches. What is the area of the rectangle?"} {"instruction": "A chat. There are 25 people in a room. 5 of them are women. What percentage of the people in the room are men? Show your work."} {"instruction": "A chat. Mike is 11 years old. His sister Sarah is twice as old. When Mike is 50 years old, what will be the age of Sarah?"} {"instruction": "A chat. In a town, 1/3 of the population are vegetarians. Among the vegetarians, 2/5 are men. If there are 60 vegetarian men in the town, what is the total population of the town?"} {"instruction": "A chat. A film production company is shooting a movie with a budget of $50 million. The main cast includes five actors who will be paid a combined total of $30 million. The remaining budget must cover other expenses such as crew salaries, equipment rentals, location fees, and post-production costs. If the average crew salary is $100,000 per person, calculate the maximum number of crew members that can be hired while still staying within the budget constraints.\n"} {"instruction": "A chat. A factory produces 1200 units of product A per day. The production rate is increased by 25%, but due to higher demand, it still takes the same amount of time to sell all produced units. How many days will it take to produce and sell 15,000 units?"} {"instruction": "A chat. A factory produces 400 units of product A and 600 units of product B every day. Product A requires 2 hours of labor per unit, while product B requires 3 hours of labor per unit. How many total hours of labor are required for production in one week?"} {"instruction": "A chat. If a car factory produces 500 cars every week, how many cars will it produce in a non-leap year? Show your work."} {"instruction": "A chat. In a family of 6 people, there are 4 children and 2 parents. Each child has one brother and two sisters. How many boys and girls are in the family?"} {"instruction": "A chat. A large supermarket chain is analyzing its supply chain to reduce food waste and improve efficiency. It currently stocks 10,000 products across various categories, sourced from 500 suppliers. On average, 5% of perishable products are discarded due to spoilage or expiration. The company wants to reduce this waste by 50% over the next two years while maintaining product availability and variety. Outline a strategy for achieving this goal, considering factors such as inventory management, supplier relationships, and customer demand forecasting.\n"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B every day. Product A requires 2 hours of labor per unit, while product B requires 3 hours of labor per unit. If the factory operates 20 days per month, how many hours of labor are required per month?"} {"instruction": "A chat. Determine the eigenvalues and eigenvectors of the matrix A = [[4, 2], [1, 3]], showing your work.\n"} {"instruction": "A chat. A store sells books for $12 each. If they offer a discount of 25% on every third book purchased, how much would it cost to buy 9 books?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 6 meters and a height of 10 meters. What is its capacity in liters?"} {"instruction": "A chat. If 5 machines can produce 5 widgets in 5 minutes, how long will it take 100 machines to produce 100 widgets?"} {"instruction": "A chat. If a car's fuel efficiency is 30 miles per gallon and it has a 12-gallon fuel tank, how many miles can the car travel on a full tank?"} {"instruction": "A chat. In a small town, there are 3 barbers. Barber A takes 15 minutes to cut hair, Barber B takes 20 minutes, and Barber C takes 25 minutes. If all three start cutting hair at the same time, how long will it take for them to complete 60 haircuts?"} {"instruction": "A chat. There are 4 light switches in a room, each controlling one of four lights. If you enter the room and find that all the lights are off, how many different ways can you turn on exactly two lights?"} {"instruction": "A chat. A store offers a 20% discount on all items during a sale. If the original price of an item is $75, how much will it cost after the discount? Show your work.\n"} {"instruction": "A chat. If a company produces 2000 widgets per day and each widget generates $15 in revenue, how much additional revenue would the company generate if they increased production by 10%?"} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. The mayor of the village wants to paint all the house numbers with white paint. He knows that he needs one bottle of paint for every digit he paints. How many bottles of paint does he need?"} {"instruction": "A chat. A baker has a rectangular cake that measures 10 inches by 15 inches. He wants to cut the cake into square pieces, each with a side length of 5 inches. How many square pieces can he cut from the cake?"} {"instruction": "A chat. A store sells two types of items, A and B. The price of item A is $5, and the price of item B is $8. If a customer buys 3 times as many items of type A as type B and spends a total of $65, how many items of each type did they buy?"} {"instruction": "A chat. If a car rental company has 150 cars, and each car is rented out for an average of 12 days per month at a rate of $40 per day, what is the total monthly revenue generated by the company?"} {"instruction": "A chat. A committee of 5 people needs to be formed from a group of 7 men and 6 women. In how many ways can this be done if there must be at least 3 women on the committee?"} {"instruction": "A chat. If a person saves 10% of their monthly salary for the first six months and then increases their savings to 15% for the next six months, what percentage of their annual salary would they have saved by the end of the year?"} {"instruction": "A chat. A train travels from City A to City B in 3 hours at a constant speed. On its way back from City B to City A, it takes 4 hours due to a slower average speed caused by track maintenance. What is the ratio of the train's speed on its way to City B compared to its speed on its way back?"} {"instruction": "A chat. An amusem*nt park plans to build a new roller coaster with a budget of $20 million. The cost of designing the roller coaster is $2 million, and the remaining budget will be used for construction. The cost of constructing the roller coaster track is $50,000 per foot, and the park has allocated 3,000 feet for the length of the track. Determine if the park can construct the roller coaster within their budget and provide step-by-step reasoning."} {"instruction": "A chat. Determine the eigenvalues and eigenvectors of the matrix [[2, 1], [1, 2]]."} {"instruction": "A chat. There are 100 people in a room. 75% of them are wearing glasses, and 40% of those wearing glasses have blue eyes. What percentage of the total population has both glasses and blue eyes?"} {"instruction": "A chat. In a small town, there are 5 barbers. Each barber has a different number of customers per day. The busiest barber gets twice as many customers as the second busiest barber. The third busiest barber gets half as many customers as the second busiest barber. The fourth busiest barber gets one-third the number of customers as the second busiest barber. The least busy barber gets only 2 customers per day. How many customers does the busiest barber get in a day?"} {"instruction": "A chat. A company has 50 employees. If 30% of them work remotely full-time, how many employees come to the office every day?"} {"instruction": "A chat. ((8 - 4)^2 + (12 / 3) * 2) - 5 * 3 + 7 ="} {"instruction": "A chat. A city is planning to install new traffic lights at 100 intersections to improve safety and reduce congestion. Each traffic light system costs $25,000 to purchase and install, and has an expected lifespan of 15 years. The city also needs to hire additional staff to maintain and repair the traffic lights, with each technician earning an annual salary of $40,000. Estimate the total cost of implementing and maintaining this new traffic light system over its 15-year lifespan.\n"} {"instruction": "A chat. A city plans to install solar-powered streetlights to reduce energy consumption and maintenance costs. The city has 10,000 streetlights, each consuming 150 watts of power per hour and operating for an average of 12 hours per day. Calculate the total energy consumption of the current streetlights and the potential energy savings if all streetlights are replaced with solar-powered alternatives. Also, estimate the cost of replacing all streetlights, assuming that each solar-powered streetlight costs $1,200.\n"} {"instruction": "A chat. There are 5 cats and 3 dogs in a room. Each cat has 2 kittens, and each dog has 1 puppy. If one of the puppies leaves the room, how many animals remain in the room?"} {"instruction": "A chat. A rectangle has a length of 12 cm and a width of 5 cm. What is the area of the rectangle?"} {"instruction": "A chat. If you have a rectangular garden that is 30 feet long and 20 feet wide, how many square feet of area do you need to cover with mulch if you want to leave a 5-foot-wide border around the entire garden uncovered?"} {"instruction": "A chat. A snail is at the bottom of a 10-meter well. Each day, it climbs up 3 meters but slides back down 2 meters during the night. How many days will it take for the snail to reach the top of the well?"} {"instruction": "A chat. Calculate the entropy change of an ideal gas during an isothermal expansion, providing step-by-step reasoning.\n"} {"instruction": "A chat. A bag contains 5 red balls and 7 blue balls. If you draw 3 balls at random without replacement, what is the probability that exactly two of them are red?"} {"instruction": "A chat. If a baker uses 3 cups of flour to make 12 muffins, how many cups of flour will they need to make 60 muffins?"} {"instruction": "A chat. A train leaves from Station A to Station B at 60 mph. At the same time, another train leaves from Station B to Station A at 40 mph. The distance between the two stations is 200 miles. When will the trains meet?"} {"instruction": "A chat. A store sells two types of pens: Type A costs $1.50 each, and Type B costs $2.00 each. If a customer buys a total of 10 pens for $18.00, how many of each type did they buy?"} {"instruction": "A chat. A farmer has chickens and cows in his farm. He counts a total of 40 heads and 100 legs. How many chickens and how many cows does he have?"} {"instruction": "A chat. A factory produces 20,000 liters of soda per day. If each bottle contains 500 milliliters, how many bottles can be filled in a week (assuming 7 days)?"} {"instruction": "A chat. A train leaves station A at 9 am traveling east at 60 mph. Another train leaves station B at 10 am traveling west at 80 mph. Station A and B are 300 miles apart. Which train will be closer to station A when they meet?"} {"instruction": "A chat. A factory produces 250 units of a product every day. If each unit weighs 12 kilograms, how many tons are produced in one week? (Note: 1 ton = 1000 kg)"} {"instruction": "A chat. A box contains 4 red balls and 6 blue balls. If you randomly pick two balls from the box without replacement, what is the probability that both balls will be red?"} {"instruction": "A chat. Three people enter a room and each person shakes hands with every other person exactly once. How many handshakes take place in total?"} {"instruction": "A chat. There are 3 red balls and 4 blue balls in a bag. You randomly pick two balls out of the bag without replacement. What is the probability that you picked one ball of each color?"} {"instruction": "A chat. A city's public transportation system wants to upgrade its fleet of buses with electric vehicles. They currently have 200 diesel buses that consume an average of 5 miles per gallon, with fuel costing $3 per gallon. Each new electric bus costs $500,000 and has an operating cost of $0.15 per mile. Determine how many electric buses the city should purchase to replace their entire fleet, considering a budget of $60 million, and calculate the potential savings on fuel costs over a period of 5 years."} {"instruction": "A chat. A factory produces widgets in batches of 25. Every day, they produce twice as many batches as the previous day. On Monday, they produced 2 batches. How many widgets did they produce from Monday to Friday inclusive?"} {"instruction": "A chat. A square garden has a side length of 10 meters. If you walk diagonally across the garden, how much distance do you save compared to walking along two sides?"} {"instruction": "A chat. If you have a right triangle with legs measuring 7 inches and 24 inches, what is the length of the hypotenuse in centimeters?"} {"instruction": "A chat. In a small town, there are 3 barbers. Barber A has the best haircut in town, Barber B has the second-best haircut, and Barber C has the worst haircut. All three of them have different haircuts. If people always choose their barber based on the quality of the barber's own haircut, which barber should you go to for the best haircut?"} {"instruction": "A chat. In a room, there are 4 cats. Each cat can catch 3 mice in an hour. If each mouse eats 2 pieces of cheese per day, how many pieces of cheese will be saved after one hour?"} {"instruction": "A chat. A square garden has a side length of 10 meters. If you want to build a fence around the entire garden with an additional 1-meter buffer zone on each side, how long should the fence be?"} {"instruction": "A chat. There are 120 people in a room. 75% of them are wearing glasses, and 40% of them are wearing hats. What is the minimum number of people who could be wearing both glasses and hats?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the two towns is 120 miles. If the train takes 2 hours to complete the journey when traveling at its normal speed, how long would it take if the train's speed were reduced by half?"} {"instruction": "A chat. A rectangular garden has a length of 30 meters and a width of 20 meters. The owner wants to increase the area of the garden by 50% by adding a strip of equal width around the entire perimeter. What is the width of the strip?"} {"instruction": "A chat. Find the volume of a cylinder with a radius of 4 cm and a height of 10 cm, explaining each step.\n"} {"instruction": "A chat. Evaluate the expression: 4 * (7 - 3)^2 + 5 / (10 - 7)"} {"instruction": "A chat. In a class of 30 students, 16 have brown eyes, 7 have blue eyes, and the rest have green eyes. What fraction of the class has green eyes? Show your step-by-step process."} {"instruction": "A chat. A bookshelf has 5 shelves. Each shelf can hold 30 books. How many books can the entire bookshelf hold? Show your work."} {"instruction": "A chat. If a store sells 3 types of candies - A, B, and C - in bags containing 100 pieces each, how many different ways can a customer buy exactly 10 bags if they must purchase at least one bag of each type?"} {"instruction": "A chat. A national postal service wants to upgrade its fleet of delivery vehicles to electric models. The organization currently operates 10,000 gasoline-powered vehicles, each with an average fuel consumption of 15 miles per gallon. The cost of replacing each vehicle with an electric model is $35,000. The postal service has a budget of $200 million for this initiative. Determine how many vehicles they can replace with electric models and calculate the potential reduction in fuel consumption based on their investment.\n"} {"instruction": "A chat. A theme park wants to increase visitor satisfaction by reducing wait times for its most popular attractions. Currently, the average wait time for these attractions is 45 minutes. The park has identified several strategies for reducing wait times, including adding more ride vehicles, increasing ride capacity, or implementing virtual queue systems. Develop an analysis comparing the effectiveness and costs associated with each strategy in achieving the desired reduction in wait times.\n"} {"instruction": "A chat. A factory produces 5000 widgets every day. If each widget weighs 200 grams, how many kilograms of widgets does the factory produce in a week?"} {"instruction": "A chat. A factory produces 500 units of a product per day. If the factory operates 6 days a week and there are 4 weeks in a month, how many units does the factory produce in a month?"} {"instruction": "A chat. In a room full of people, 60% have brown eyes, and 40% have green eyes. If everyone with brown eyes wears glasses and no one with green eyes does, what percentage of people in the room wear glasses?"} {"instruction": "A chat. A restaurant has 12 tables that can seat 4 people each and 8 tables that can seat 6 people each. If the restaurant is at full capacity, how many people are seated?"} {"instruction": "A chat. A car travels at a constant speed of 60 miles per hour. It takes 3 hours to travel from Town A to Town B. After a 1-hour break in Town B, the car continues its journey to Town C at the same speed and takes another 2 hours. How long did it take for the car to travel from Town A to Town C?"} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. The house numbers that are divisible by 4 have blue doors, and the house numbers that are divisible by 6 have red doors. How many houses in the village have both blue and red doors?"} {"instruction": "A chat. In a class of 30 students, 18 play soccer, 20 play basketball, and 22 play volleyball. If 6 students don't play any sport, how many students play all three sports?"} {"instruction": "A chat. A rectangular garden has a length that is 5 meters longer than its width. If the area of the garden is 84 square meters, what are the dimensions of the garden?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes the train 2 hours to travel from Town A to Town B. After reaching Town B, the train waits for 1 hour before returning to Town A at the same speed. How long does it take for the train to complete its round trip?"} {"instruction": "A chat. If a company's revenue increased by 20% in the first quarter and decreased by 10% in the second quarter, what is the net percentage change in revenue over the two quarters?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. It takes the train 2 hours to travel from Town A to Town B. If it takes the same amount of time to travel back from Town B to Town A, how long would it take the train to travel between the two towns if its speed doubled?"} {"instruction": "A chat. Calculate the value of (4^2 - 5) / (3 * 2) + 7."} {"instruction": "A chat. A restaurant serves lunch to an average of 150 customers per day. Each customer spends an average of $12 on their meal. If the restaurant operates 6 days a week, what is its weekly lunch revenue?"} {"instruction": "A chat. A national park wants to improve its visitor experience by offering guided tours and educational programs. The park has an annual budget of $1 million for this initiative, which includes hiring staff, developing content, marketing, and providing transportation within the park. Determine the optimal allocation of resources to maximize visitor satisfaction while staying within budget constraints. Explain your reasoning and propose a plan for implementing the new services.\n"} {"instruction": "A chat. You are in a room with two doors. One door leads to freedom, and the other door leads to an endless maze. There are also two guards, one in front of each door. One guard always tells the truth, and the other guard always lies. You don't know which guard is which or which door leads where. You can ask only one question to determine the door that leads to freedom. What question should you ask?"} {"instruction": "A chat. There are 100 people in a room. 75% of them are wearing glasses, and 40% of them are wearing hats. What percentage of people are wearing both glasses and hats?"} {"instruction": "A chat. Solve: 4(3x - 5) = 8(x + 1)"} {"instruction": "A chat. John reads 30 pages of a book every day. The book has 450 pages. After reading the book, he starts another one with 550 pages. How many days will it take him to read both books? Provide step-by-step logic."} {"instruction": "A chat. A cyclist rides at a constant speed of 12 miles per hour for 2 hours and then increases their speed to 18 miles per hour for the next 3 hours. What is the total distance covered by the cyclist?"} {"instruction": "A chat. If you draw one card from a standard deck of 52 playing cards, what is the probability of drawing a face card or a red card?"} {"instruction": "A chat. (3^2 * 4) / (2 * 6) - 1 ="} {"instruction": "A chat. In how many ways can a committee of 3 people be chosen from a group of 8 men and 5 women if at least one woman must be on the committee?"} {"instruction": "A chat. Evaluate the limit as x approaches infinity of (1/x). Provide a detailed explanation.\n"} {"instruction": "A chat. In a bag, there are 5 red balls, 8 blue balls, and 3 green balls. If you randomly pick one ball from the bag, what is the probability of picking a red or green ball?"} {"instruction": "A chat. A group of friends wants to split the cost of renting a beach house for a week. If the rental fee is $2100 and each person contributes an equal amount, how many friends are in the group if each pays $150?"} {"instruction": "A chat. In a village, every man has exactly 5 sons and each son has 2 sisters. What is the ratio of boys to girls in the village?"} {"instruction": "A chat. If a person invests $5,000 at an annual interest rate of 6% compounded annually, how much money will they have after 8 years?"} {"instruction": "A chat. In a parking lot, there are 4 times as many red cars as blue cars and twice as many green cars as red cars. If there are 15 blue cars in the parking lot, how many cars are there in total?"} {"instruction": "A chat. A box contains 5 red balls, 7 blue balls, and 3 green balls. If you draw 3 balls at random without replacement, what is the probability that you will get exactly 2 red balls and 1 blue ball?"} {"instruction": "A chat. If a sequence is defined by the recursive formula an = 3an-1 - 2an-2 for n \u2265 3, with initial terms a1 = 1 and a2 = 2, what is the value of a5?"} {"instruction": "A chat. A factory produces 1500 units of product A every day. If each unit sells for $20, what is the factory's revenue from product A sales in a month with 30 days?"} {"instruction": "A chat. A city is planning to build a new public transportation system that includes buses, trains, and bike-sharing stations. The city has a population of 2 million people, with an average daily commute distance of 10 miles per person. The budget for the project is $500 million, and each mode of transportation has different costs: buses cost $200,000 each, trains cost $5 million per mile of track, and bike-sharing stations cost $50,000 each. Determine the optimal combination of buses, train tracks, and bike-sharing stations to maximize coverage within the budget constraints, while considering factors such as maintenance costs and accessibility.\n"} {"instruction": "A chat. A store sells apples in bags of 6 and oranges in bags of 4. If a customer wants to buy the same number of apples and oranges, what is the minimum number of each fruit they must purchase?"} {"instruction": "A chat. In a village, there are 20 houses. Each house has a dog living in it. One day, the dogs from 10 of these houses go out for a walk together. How many legs are left on the ground in the village?"} {"instruction": "A chat. A car rental company charges a flat fee of $20 per day to rent a car plus an additional 10 cents per mile driven. If John rents a car for 3 days and drives it for 200 miles, how much will he be charged?"} {"instruction": "A chat. If a car rental company has 100 cars, and on average 70% of them are rented out each day, how many more cars would need to be rented out daily to reach an 85% rental rate?"} {"instruction": "A chat. In a group of 50 people, 30% prefer tea, while the rest prefer coffee. How many more people prefer coffee than tea?"} {"instruction": "A chat. A grocery store chain is analyzing its supply chain to reduce food waste and improve inventory management. The company has 100 stores, each receiving deliveries from a central distribution center. They need to determine the optimal frequency of deliveries for various product categories based on shelf life, storage capacity, and customer demand. Develop a plan for optimizing delivery schedules and describe your approach in steps.\n"} {"instruction": "A chat. If you have a rectangular garden that measures 15 meters in length and 8 meters in width, what is the area of the garden?"} {"instruction": "A chat. If you divide 30 by half and add ten, what do you get?"} {"instruction": "A chat. A car rental company charges $50 per day for renting a car plus an additional fee of $0.20 per mile driven. If you rent a car for 3 days and drive it for a total of 200 miles, how much will the rental cost?"} {"instruction": "A chat. If a cone has a radius of 4 cm and a height of 6 cm, what is its volume in cubic centimeters?"} {"instruction": "A chat. A factory produces 500 units of a product in 8 hours. If it takes 20 workers to achieve this production rate, how many additional workers would be needed to produce 750 units in the same amount of time?"} {"instruction": "A chat. There are 6 apples and you take away 4. How many apples do you have now?"} {"instruction": "A chat. In a family of 6 siblings, each sibling has exactly one brother. How many boys and girls are in the family?"} {"instruction": "A chat. The world record for the fastest mile run is 3 minutes and 43.13 seconds. How many miles per hour was the runner traveling during this record-breaking mile?"} {"instruction": "A chat. In a class of 40 students, 25% scored above 90 on a test. How many students scored below or equal to 90?"} {"instruction": "A chat. An ant climbs 3 feet up a tree each day but slips down 2 feet each night. If the tree is 30 feet tall, how many days does it take for the ant to reach the top? Include your logic."} {"instruction": "A chat. In a group of 23 people, what is the probability that at least two people share the same birthday?"} {"instruction": "A chat. A city has a population of 500,000 people. If the population grows by 2% each year, what will be the population after 3 years? Use step-by-step logic."} {"instruction": "A chat. A large hotel chain is analyzing its room occupancy rates to determine if they should build additional hotels in certain cities. The chain currently operates five hotels in a city with a total of 1,500 rooms. On average, 75% of these rooms are occupied each night. Calculate the number of occupied rooms per night and estimate the annual revenue generated by these hotels, assuming an average nightly rate of $150 per room. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a certain city, there are 500,000 people. If 60% of these people own cars, how many cars are owned by the residents of this city?"} {"instruction": "A chat. A store sells bags of candy with an average weight of 250 grams per bag. The actual weight of each bag follows a normal distribution with a standard deviation of 25 grams. What is the approximate probability that a randomly selected bag weighs between 225 and 275 grams?"} {"instruction": "A chat. A fair six-sided die is rolled three times. What is the probability that at least one roll shows a 4?"} {"instruction": "A chat. If a triangle has sides with lengths of 5 inches, 6 inches, and 7 inches, what is its area in square inches?"} {"instruction": "A chat. Find the orthogonal projection of vector (1,2,3) onto the plane defined by x+y+z=0."} {"instruction": "A chat. A train travels at a constant speed of 60 km/h. If it takes 30 minutes to travel between station A and station B, how far apart are the stations?"} {"instruction": "A chat. In a room, there are 4 dogs and 6 cats. Each dog has 3 times as many fleas as each cat. If one cat has 12 fleas, how many fleas are in the room?"} {"instruction": "A chat. A store sells apples for $0.50 each and oranges for $0.75 each. If someone buys 8 apples and 6 oranges, what is the total cost of their purchase?"} {"instruction": "A chat. John starts reading a book at page 1 and finishes at page 250. He reads an even number of pages every day except for the last day, when he reads an odd number of pages. What is the minimum number of days it took John to read the book?"} {"instruction": "A chat. If a farmer has a rectangular field that measures 120 meters by 80 meters and wants to plant trees along the perimeter with equal spacing between each tree, what is the maximum number of trees he can plant if the minimum distance between two adjacent trees must be at least 10 meters?"} {"instruction": "A chat. A store offers a 20% discount on an item originally priced at $80. After the discount, they add a 10% sales tax on the discounted price. What is the final price of the item?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed of 60 miles per hour. Halfway through the journey, the train makes an unscheduled stop for 30 minutes due to technical issues. If the distance between City A and City B is 120 miles, how long does it take for the train to complete its journey?"} {"instruction": "A chat. A car travels at 45 mph for 2 hours and then 60 mph for another 3 hours. How many apples does the driver eat during this time?"} {"instruction": "A chat. In a city with a population of 1 million people, 60% own cars. Of those car owners, 20% have electric vehicles. How many electric vehicles are there in the city?"} {"instruction": "A chat. A company has decided to give its employees a 10% raise on their current salary. If an employee currently earns $50,000 per year, what will be their new annual salary after the raise?"} {"instruction": "A chat. In a small town, there are 20 houses on one side of the street and 30 houses on the other side. If every house has at least one cat and each cat can catch mice in its own house as well as the two neighboring houses, how many cats are needed to cover all the houses?"} {"instruction": "A chat. Every minute, 108 people die worldwide. How many people die in a day? Provide step-by-step logic."} {"instruction": "A chat. In a certain city, 60% of people own cats, 40% own dogs, and 20% own both cats and dogs. What percentage of people in the city do not own any pets?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed. The distance between the two cities is 480 kilometers. If it takes the train 6 hours to complete the journey, what is its average speed in meters per second?"} {"instruction": "A chat. A rectangular garden measures 12 meters by 18 meters. What is the total area of the garden in square meters?"} {"instruction": "A chat. A store sells two types of products, X and Y. Product X has a profit margin of 25% and product Y has a profit margin of 40%. If the store sells 100 units of product X at $10 each and 50 units of product Y at $20 each, what is the total profit?"} {"instruction": "A chat. An airline wants to optimize its flight schedule between two major cities to maximize revenue while minimizing operating costs. Currently, the airline operates five daily flights between the cities, using aircraft that can accommodate up to 200 passengers. Passenger demand varies throughout the day, with peak travel times in the morning and evening. Develop a plan to adjust the flight schedule and aircraft capacity to better match passenger demand, taking into account factors such as ticket prices, fuel costs, and crew availability. Explain your reasoning."} {"instruction": "A chat. A city is planning to build a new public park with various amenities, including playgrounds, walking trails, and picnic areas. The total area of the park is 50 acres, and the budget for construction is $2 million. Calculate the cost per acre for building the park, taking into account that 60% of the budget will be spent on landscaping, 30% on infrastructure (e.g., restrooms, parking lots), and 10% on recreational facilities (e.g., playgrounds, sports courts). Provide step-by-step reasoning.\n"} {"instruction": "A chat. You're playing a game where you have to guess the correct number between 1 and 10. Your friend tells you that the number is either even or prime. What is the probability that the number is even?"} {"instruction": "A chat. In a group of people, 40% have brown eyes, 35% have blue eyes, and the remaining 25% have green eyes. If there are 80 people in the group, how many more people have brown eyes than blue eyes?"} {"instruction": "A chat. If a water tank has a capacity of 12,000 liters and it takes 5 minutes to fill up 25% of the tank using a hose, how long will it take to fill the entire tank?"} {"instruction": "A chat. There are 4 red balls and 6 blue balls in a box. If you randomly pick two balls from the box, what is the probability that both balls will be red?"} {"instruction": "A chat. A box contains 5 red balls, 7 blue balls, and 8 green balls. What is the probability of drawing a red ball from the box without looking? Explain your reasoning."} {"instruction": "A chat. A company has an annual revenue of $1,200,000 and spends 25% on salaries, 15% on rent, and 10% on utilities. What is the remaining amount after these expenses?"} {"instruction": "A chat. In a family, the father is twice as old as the mother was when the father was the age the mother is now. The combined age of the parents is 88 years. How old is the father?"} {"instruction": "A chat. Three friends, Alice, Bob, and Carol, are playing a game where they take turns rolling a fair six-sided die. They roll the die in alphabetical order (Alice, then Bob, then Carol), and continue this sequence until someone rolls a 6. What is the probability that Alice will be the one to roll a 6 first?"} {"instruction": "A chat. A rectangular garden has a length of 30 meters and a width of 20 meters. The owner wants to increase the area of the garden by extending its length and width equally. If the new area is 200 square meters more than the original area, what are the new dimensions of the garden?"} {"instruction": "A chat. A rectangular garden has a length of 15 meters and a width of 10 meters. If the owner wants to increase the length by 5 meters and decrease the width by 2 meters, what will be the new area of the garden?"} {"instruction": "A chat. A store sells three types of fruit: apples, oranges, and bananas. The ratio of apples to oranges is 2:3, and the ratio of oranges to bananas is 5:6. If the store has 60 oranges, how many pieces of fruit does it have in total?"} {"instruction": "A chat. Calculate the mean, median, and mode of the following set of numbers: 4, 7, 9, 11, 13. Explain your reasoning.\n"} {"instruction": "A chat. In a group of 25 people, 15 have brown eyes, 7 have blue eyes, and 3 have green eyes. If you randomly select 3 people from the group, what is the probability that they all have different eye colors?"} {"instruction": "A chat. If a car factory produces 250 cars per day, and each car requires 4 tires, how many tires does the factory need to have in stock for one month of production (assuming 30 days)?"} {"instruction": "A chat. ((4^2) * (3^3)) / (6 * 2) ="} {"instruction": "A chat. A store sells two types of widgets: Type A costs $5 per unit and Type B costs $8 per unit. If a customer buys a total of 12 widgets and spends $72, how many of each type did they buy?"} {"instruction": "A chat. An ant starts to crawl along a tightrope. It travels one-third of the length of the rope, stops, then travels another quarter of the remaining distance. It stops again, then travels another fifth of the remaining distance. How far along the rope is the ant now? Show your work."} {"instruction": "A chat. If a car travels at an average speed of 60 miles per hour for 4 hours and then increases its speed to 80 miles per hour for another 2 hours, what is the total distance covered by the car?"} {"instruction": "A chat. If a farmer has 12 cows and each cow produces an average of 6 gallons of milk per day, how many half-gallon cartons can the farmer fill in one week?"} {"instruction": "A chat. Solve the following system of linear equations using substitution or elimination method: \n x + y = 5\n 2x - y = 1\n"} {"instruction": "A chat. In a village, there are 10 houses in a row. Every day, the postman delivers mail to one house and then skips two houses before delivering mail to the next house. If he starts at the first house on Day 1, which house will receive mail on Day 20?"} {"instruction": "A chat. In a group of 50 people, 20% have blue eyes and the rest have brown eyes. If 5 more people with blue eyes join the group, what percentage of the group will have blue eyes?"} {"instruction": "A chat. In a certain city, it rains on average 10 days per month. If each rainy day has an average of 0.2 inches of rainfall, how many inches of rain does the city receive in a year?"} {"instruction": "A chat. Determine the number of spanning trees in a complete graph with n vertices."} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 mph. The distance between the two towns is 180 miles. After reaching Town B, the train immediately returns to Town A but at half its original speed. What is the average speed of the entire trip?"} {"instruction": "A chat. ((7 - 2)^2 * (4 + 1)) / 5 ="} {"instruction": "A chat. There are 5 apples in a basket. You take away 3 apples. How many apples do you have?"} {"instruction": "A chat. A bakery sells donuts for $1 each and cookies for $2 each. Customers can buy any combination of donuts and cookies. If Alice spent $10 at the bakery and bought a total of 8 items, how many donuts did she buy?"} {"instruction": "A chat. A jar contains a mixture of 3 liters of water and 5 liters of juice. What percentage of the mixture is juice?"} {"instruction": "A chat. A car rental company charges $20 per day plus an additional 15 cents per mile driven. How many miles can you drive if your budget is $50?"} {"instruction": "A chat. In a group of 50 people, 35 people like chocolate ice cream, while 25 people like vanilla ice cream. If everyone likes at least one of these flavors, how many people like both chocolate and vanilla ice cream?"} {"instruction": "A chat. A sports stadium is planning to replace its natural grass field with artificial turf to reduce maintenance costs and increase durability. The current annual maintenance cost for the natural grass field is $200,000, while the artificial turf has an installation cost of $1 million and an expected lifespan of 10 years with an annual maintenance cost of $50,000. Calculate the total cost savings over a 10-year period if the stadium switches to artificial turf and provide step-by-step reasoning.\n"} {"instruction": "A chat. If a rectangle has a length of 12 meters and a width of 6 meters, what is the length of its diagonal?"} {"instruction": "A chat. A box contains 5 red balls, 7 blue balls, and 8 green balls. If you randomly pick two balls from the box without replacement, what is the probability that both balls are the same color?"} {"instruction": "A chat. Tom, Jane, and Sam are playing a game where they take turns picking cards from a deck of 52 cards. They continue taking turns until all the cards have been picked up. If Tom goes first, followed by Jane, then Sam, who picks up the last card?"} {"instruction": "A chat. A city is planning to construct a new sports complex that includes a soccer field, basketball courts, and a swimming pool. The total area of the land allocated for the project is 150,000 square feet. The soccer field requires 80,000 square feet, each basketball court needs 5,000 square feet, and the swimming pool will take up 25,000 square feet. Determine how many basketball courts can be built within the available space while accommodating the other facilities. Also, calculate the remaining open space after constructing all the facilities.\n"} {"instruction": "A chat. Four friends decide to order pizza. They agree that each person will eat at least one slice. A pizza has 8 slices. If they want to finish the pizza, what is the maximum number of slices one person can eat?"} {"instruction": "A chat. A rectangular garden has a length of 15 meters and a width of 8 meters. What is the area of the garden? And if you want to build a fence around the garden, how much fencing material would you need?"} {"instruction": "A chat. Calculate the surface area and volume of a sphere with a radius of 7 cm, providing step-by-step reasoning.\n"} {"instruction": "A chat. There are 40 people in a room. Each person knows exactly 3 others. Prove that there must be at least two people who know the same number of other people in the room. Include step-by-step logic."} {"instruction": "A chat. A team of painters takes 5 hours to paint a room with four walls. How long will it take them to paint a house with 8 rooms?"} {"instruction": "A chat. A hospital is conducting a study on the efficiency of different surgical teams. They have collected data on the average time taken for each team to complete specific surgeries. The hospital has five surgical teams, each consisting of one surgeon, two nurses, and an anesthesiologist. The goal is to determine which team is the most efficient and identify areas for improvement. Develop a method to analyze the data and rank the teams based on their performance, considering factors such as surgery duration, patient recovery time, and complication rates.\n"} {"instruction": "A chat. A company hires 7 new employees every month. How many employees will the company hire in 5 years? Show your calculations."} {"instruction": "A chat. In a game show, you are given two envelopes. One envelope contains twice as much money as the other. You can choose one envelope and keep the money inside. After choosing an envelope, you have the option to switch envelopes or stick with your initial choice. What should you do to maximize your winnings?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed of 60 miles per hour. The total distance between the two cities is 360 miles. How long does it take for the train to reach City B?"} {"instruction": "A chat. Find the maximum and minimum values of a multivariable function f(x, y) subject to a constraint g(x, y) = c."} {"instruction": "A chat. In a class of 40 students, 60% of them play soccer, 30% play basketball, and the remaining students do not participate in any sports. How many students do not participate in any sports?"} {"instruction": "A chat. If a company produces 1500 units of product A and 2000 units of product B in one month, how many more units of product B would they need to produce in order for the total production of both products to be evenly divisible by 7?"} {"instruction": "A chat. John wants to buy a shirt that costs $45. He already has $20. His mother gives him $10 more. Does he have enough money to buy the shirt? Show your work."} {"instruction": "A chat. A theme park is planning to add a new roller coaster to its attractions. The roller coaster will have a maximum capacity of 1,200 riders per hour and operate for 10 hours each day. The park management wants to ensure that at least 80% of the daily riders are general admission ticket holders, while the remaining riders can access the ride through a premium fast pass system. Calculate the number of general admission and fast pass riders per day and estimate the pricing strategy needed to generate a target revenue of $50,000 per day from this attraction alone. Explain your reasoning.\n"} {"instruction": "A chat. There are 100 people attending a conference. On the first day, 40% of them wear glasses. On the second day, 20 more people wear glasses than on the first day. What percentage of attendees wore glasses on the second day?"} {"instruction": "A chat. A marathon event has 500 participants, and the organizers need to provide water bottles for each runner. They want to purchase three different sizes of water bottles: small (12 oz), medium (16 oz), and large (20 oz). If they plan to buy twice as many small bottles as large ones and an equal number of medium and large bottles, determine how many of each size they should purchase. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a room, there are 5 people who have an average age of 25 years. A sixth person enters the room, and now the average age of all the people in the room is 27 years. How old is the sixth person?"} {"instruction": "A chat. A company produces 500 units of product A every hour. They want to increase production by 20%. How many units of product A will they produce every hour after the increase?"} {"instruction": "A chat. In a class of 25 students, 12 are boys. What percentage of the class are girls? Show your calculation steps."} {"instruction": "A chat. In a group of 50 people, 30 people can speak English, 20 people can speak French, and 10 people can speak both English and French. How many people can speak either English or French, but not both?"} {"instruction": "A chat. A train travels at a constant speed and takes 3 hours to travel from Town A to Town B. If it takes 4.5 hours for the same train to travel from Town A to Town C, what is the ratio of the distance between Town A and Town B to the distance between Town A and Town C?"} {"instruction": "A chat. Solve the system of equations:\n2x - y = 5\n3x + 2y = 1"} {"instruction": "A chat. A car travels at a constant speed of 60 miles per hour. How long will it take for the car to travel 180 miles?"} {"instruction": "A chat. There are 12 black socks and 12 white socks mixed up in a drawer. It's dark and you cannot see them. How many socks must you pull out to ensure you have at least two socks of the same color? Explain your logic."} {"instruction": "A chat. If a room measures 12 feet by 15 feet, what is its area in square meters?"} {"instruction": "A chat. A company has a monthly budget of $120,000. If they spend 40% on salaries, 25% on rent, and 10% on utilities, how much money is left for other expenses?"} {"instruction": "A chat. A car rental company charges a flat fee of $50 per day plus an additional $0.25 per mile driven. If a customer rents a car for 3 days and drives 200 miles, what is the total cost of the rental? Provide step-by-step reasoning.\n"} {"instruction": "A chat. Solve: (3^2 - 4) * (5 + 7) / 2 ="} {"instruction": "A chat. If you have a circular pizza with a diameter of 16 inches, what is the area of the pizza in square inches? (Use \u03c0 \u2248 3.14)"} {"instruction": "A chat. A theme park is designing a new roller coaster ride with a maximum capacity of 24 passengers per train. Each train completes one ride every 3 minutes, and the park operates for 12 hours per day. Calculate the maximum number of passengers the roller coaster can accommodate daily. Also, estimate the waiting time for each passenger, assuming an average of 2000 visitors per day and a uniform distribution of riders throughout the operating hours.\n"} {"instruction": "A chat. Four friends decide to race up a hill. Alex finishes before Ben but after Chris. David finishes before Ben but after Alex. Who finishes the race first, second, third, and fourth?"} {"instruction": "A chat. If a person reads 30 pages per hour for 4 hours every day, how many pages will they read in a month with 30 days?"} {"instruction": "A chat. A company sells two types of products, A and B. Product A costs $12 to produce and sells for $20, while product B costs $8 to produce and sells for $16. If the company produces and sells 100 units of each product, what is their total profit?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. It takes the train 4 hours to travel between two cities. If it had traveled at a speed of 80 miles per hour, how long would it take for the train to travel between the same two cities?"} {"instruction": "A chat. A city is experiencing a rapid increase in population due to job opportunities and economic growth. As a result, the demand for housing has skyrocketed, leading to a shortage of affordable homes. The city government plans to build 10,000 new affordable housing units over the next five years. Calculate the total cost of constructing these units, factoring in land acquisition, infrastructure development, and construction expenses. Additionally, estimate the impact on local property values and rental rates once the new units are completed. Explain your reasoning.\n"} {"instruction": "A chat. A rectangular garden has a length of 15 meters and a width of 8 meters. If a gardener wants to increase the area of the garden by 50% by adding an equal amount of width on each side, how much wider should the garden be?"} {"instruction": "A chat. A company produces 100 units of a product per day at a cost of $50 per unit. They sell each unit for $80. How much profit does the company make in a month (assuming 30 days)?"} {"instruction": "A chat. There are two boxes, one containing 10 white balls and the other containing 10 black balls. You need to redistribute the balls between the two boxes in such a way that when you randomly pick a box and then randomly pick a ball from that box, your chances of getting a white ball are maximized. How should you redistribute the balls?"} {"instruction": "A chat. A large supermarket chain wants to optimize its inventory management by implementing an automated warehouse system. The system costs $10 million to install and will require hiring additional technical staff to maintain it. The supermarket currently employs 500 warehouse workers, each earning an average annual salary of $40,000. Calculate the potential savings in labor costs if the supermarket decides to implement the automated warehouse system, taking into account both the initial investment and ongoing maintenance expenses."} {"instruction": "A chat. Solve: ((3^2 - 4) * 5 + 8) / 2 ="} {"instruction": "A chat. A city is planning to build a new public park with various recreational facilities, including basketball courts, tennis courts, and playgrounds. The total area of the park is 10 acres, and each facility requires different amounts of space: basketball courts need 0.5 acres, tennis courts need 1 acre, and playgrounds need 2 acres. Additionally, at least 30% of the park should be left as open green space. Determine how many of each type of facility can be built in the park while maintaining these requirements, and provide step-by-step reasoning.\n"} {"instruction": "A chat. A store has a sale on notebooks, offering a 25% discount off the original price of $4.00 each. If a student buys 5 notebooks, how much will they save compared to the original price? Explain your calculations.\n"} {"instruction": "A chat. A group of people decides to split the cost of a gift evenly among themselves. If the gift costs $120 and each person contributes $8, how many people are in the group?"} {"instruction": "A chat. A car rental company has a fleet of 100 cars. Each car is rented out for an average of 20 days per month at a daily rate of $50. What is the monthly revenue generated by the company?"} {"instruction": "A chat. Derive the demand function for a good with a price elasticity of -2 and an income elasticity of 1, assuming constant prices and income. Explain your derivation.\n"} {"instruction": "A chat. A factory produces 500 units of a product per day and operates for 25 days each month. If they increase their daily production by 10%, how many units will they produce in one month?"} {"instruction": "A chat. A store sells 3 types of fruit: apples, oranges, and bananas. The price per pound for each type of fruit is $2, $3, and $1.50, respectively. If a customer buys a total of 20 pounds of fruit with a total cost of $45, how many pounds of oranges did the customer buy?"} {"instruction": "A chat. A hospital is conducting a study on the effectiveness of a new surgical procedure. They plan to enroll 300 patients over a period of 3 years. Each patient will be followed up for 5 years after the surgery. The cost of the surgery is $15,000 per patient, and the annual follow-up costs are $1,000 per patient. Calculate the total cost of the study, factoring in a 5% dropout rate among patients during the follow-up period. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A bag contains red and blue marbles. If you pick two marbles at random without replacement, the probability of getting one red marble and one blue marble is 2/5. If there are a total of 15 marbles in the bag, how many red marbles are there?"} {"instruction": "A chat. If a cyclist rides at a constant speed of 15 miles per hour for 45 minutes, how far does he travel?"} {"instruction": "A chat. A box contains 12 red balls and 8 blue balls. If you randomly pick one ball from the box without looking, what is the probability that it will be a red ball?"} {"instruction": "A chat. In a village, there are 100 houses. Each house has at least one person living in it. If the total number of people living in the village is 200, what is the maximum number of houses that can have more than one person living in them?"} {"instruction": "A chat. How many gallons of water does an average American household use in a week?"} {"instruction": "A chat. A national sports league is organizing a tournament featuring teams from across the country. The league has a budget of $2 million for the event, which includes venue rentals, transportation, accommodations, and marketing. There are 32 teams participating, with each team consisting of 20 players and 5 staff members. Calculate the total cost per team for participation in the tournament, considering factors such as travel distance, accommodation type, and length of stay. Provide recommendations on how to allocate the available budget among the various expense categories.\n"} {"instruction": "A chat. A train travels at an average speed of 60 mph for the first half of its journey and then increases its speed to 80 mph for the second half. If the total journey time is 5 hours, what is the distance covered by the train?"} {"instruction": "A chat. A city is planning to build a new sports complex that includes a soccer field, basketball courts, and a swimming pool. The total budget for the project is $5 million. The construction cost breakdown is as follows: 40% for the soccer field, 30% for the basketball courts, and 20% for the swimming pool. The remaining 10% of the budget will be allocated for landscaping and other miscellaneous expenses. Calculate the individual budgets for each component of the sports complex and provide step-by-step reasoning.\n"} {"instruction": "A chat. In how many ways can you distribute 12 identical candies among 4 children if each child must receive at least 2 candies?"} {"instruction": "A chat. John can paint a room in 5 hours, while Jane can paint the same room in 7 hours. If they both start painting the room together, how long will it take for them to finish painting the room?"} {"instruction": "A chat. If you read at a speed of 250 words per minute, how long will it take you to read a book with 75,000 words?"} {"instruction": "A chat. A bakery sells three types of cookies: chocolate chip, oatmeal, and sugar. If a customer buys one cookie of each type, they get a discount on their purchase. On Monday, the bakery sold 24 chocolate chip cookies, 20 oatmeal cookies, and 28 sugar cookies. Assuming every customer bought at least one of each type to get the discount, how many customers visited the bakery on Monday?"} {"instruction": "A chat. In a room, there are 4 thieves. A man enters the room and steals from one of them. Nobody leaves the room. How many thieves are in the room now? Provide step-by-step logic."} {"instruction": "A chat. John has twice as many marbles as Mary. Together, they have 36 marbles. How many marbles does John have?"} {"instruction": "A chat. If a person drinks 8 glasses of water per day, how many gallons of water do they consume in a month?"} {"instruction": "A chat. A man has a daughter and a son. The daughter is twice as old as the son. In 10 years, the sum of their ages will be equal to the father's age. If the father is currently 40 years old, how old are the daughter and the son?"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B every day. Product A requires 2 hours of labor per unit, while product B requires 3 hours of labor per unit. If workers are paid $15 per hour, how much does the factory spend on labor costs for both products in a 30-day month?"} {"instruction": "A chat. A factory produces 150 units of a product every day. Each unit costs $12 to produce and is sold for $20. What is the profit made by the factory after 10 days?"} {"instruction": "A chat. There are 12 months in a year. Some months have 30 days, some have 31, and February has either 28 or 29 days. How many months have less than 31 days? Explain your thought process."} {"instruction": "A chat. A bookshelf contains 20 books arranged in a row. How many ways can 4 books be selected such that no two books are adjacent? Show your work."} {"instruction": "A chat. A city has a population of 500,000 people. If the population grows by 2% each year, what will be the population after 3 years? Show your steps."} {"instruction": "A chat. In how many ways can you choose 3 books from a shelf containing 8 different books?"} {"instruction": "A chat. A factory produces 500 widgets per day. Each widget has a 5% chance of being defective. On average, how many non-defective widgets does the factory produce each day?"} {"instruction": "A chat. A train leaves Town A at 60 mph heading towards Town B, which is 180 miles away. At the same time, another train leaves Town B at 80 mph heading towards Town A. If a bird starts flying from Town A to Town B at 100 mph at the same time the trains start moving and keeps flying back and forth between the two trains until they collide, how far will the bird have flown?"} {"instruction": "A chat. A store sells three types of items: Type A with a profit margin of 30%, Type B with a profit margin of 40%, and Type C with a profit margin of 50%. If the store sells 100 Type A items at $10 each, 200 Type B items at $15 each, and 300 Type C items at $20 each, what is the total profit?"} {"instruction": "A chat. There are three light switches outside a room. One of the switches controls a light bulb inside the room. You can only enter the room once, and you cannot see the light from outside the room. How can you determine which switch controls the light bulb?"} {"instruction": "A chat. If a farmer has 5 hens and each hen lays 2 eggs per day, how many eggs will the farmer have after one week?"} {"instruction": "A chat. A train leaves Station A at 4 PM and travels towards Station B at a constant speed of 60 mph. Another train leaves Station B at 5 PM and travels towards Station A at a constant speed of 90 mph. The distance between Station A and Station B is 300 miles. At what time will the two trains meet?"} {"instruction": "A chat. A rectangular garden has a length of 15 meters and a width of 8 meters. What is the perimeter of the garden?"} {"instruction": "A chat. Solve: (4x - 2) / 3 + 5 = 7"} {"instruction": "A chat. Five friends went to a restaurant and ordered three pizzas. They decided to divide the cost equally among themselves. The total bill was $60, which included a $6 tip. What was the cost of each pizza?"} {"instruction": "A chat. Compute the Riemann zeta function for s=2."} {"instruction": "A chat. A store sells two types of pens: blue and black. The ratio of blue pens to black pens is 3:2. If there are 250 pens in total, how many more blue pens than black pens are there?"} {"instruction": "A chat. A farmer has 120 meters of fencing and wants to create a rectangular enclosure for his sheep. What is the maximum area he can enclose using this amount of fencing?"} {"instruction": "A chat. Calculate the volume of a cylinder with a radius of 5 cm and a height of 12 cm, using the formula V = \u03c0r^2h. Show your work.\n"} {"instruction": "A chat. A car rental company is evaluating its fleet's fuel efficiency to reduce operating costs. They currently have 100 compact cars, 50 midsize sedans, and 25 SUVs in their fleet. On average, the compact cars get 35 miles per gallon (mpg), midsize sedans get 28 mpg, and SUVs get 22 mpg. The company aims to improve the overall fleet fuel efficiency by 10%. Determine how many vehicles of each type should be replaced with more fuel-efficient models to achieve this goal, providing step-by-step reasoning.\n"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding electric buses to its fleet. The city currently has 100 diesel buses, each with a fuel efficiency of 5 miles per gallon and an average daily mileage of 150 miles. The electric buses have a range of 200 miles on a single charge and cost $0.10 per mile to operate. Calculate the total annual operating cost for both types of buses, assuming that diesel costs $3.50 per gallon and electricity costs $0.12 per kWh. Also, estimate the reduction in greenhouse gas emissions if the city replaces half of its diesel buses with electric ones, considering that diesel emits 22.4 pounds of CO2 per gallon burned.\n"} {"instruction": "A chat. A farmer has 5 chickens. Each chicken lays 2 eggs every day. How many eggs will the farmer collect in a month (assume 30 days)? Include your logic."} {"instruction": "A chat. In a room full of people, 40% wear glasses, and 60% do not. If 10 more people wearing glasses enter the room, what percentage of people in the room now wear glasses?"} {"instruction": "A chat. In a class of 30 students, 60% are female. If 75% of the females pass an exam and 80% of the males pass the same exam, what percentage of the entire class passed the exam?"} {"instruction": "A chat. A factory produces 500 cars per day. The factory operates 6 days a week and takes 2 weeks off for holidays each year. How many cars does it produce in a year? Show your work."} {"instruction": "A chat. A triangle has a base of 12 cm and a height of 9 cm. What is the area of this triangle?"} {"instruction": "A chat. A box contains 12 red balls and 8 blue balls. If you randomly pick 2 balls from the box without replacement, what is the probability that both balls are red?"} {"instruction": "A chat. In a game, you roll two fair six-sided dice. What is the probability that the sum of the numbers rolled is equal to 7?"} {"instruction": "A chat. Three people check into a hotel room that costs $30. They each contribute $10, handing $30 to the receptionist. Later, the receptionist realizes there was a mistake and the room actually cost $25. The receptionist gives $5 to the bellboy to return to the guests. The bellboy, however, decides to keep $2 for himself and gives $1 back to each guest. Now, each guest has paid $9 (totaling $27) and the bellboy kept $2, which adds up to $29. What happened to the missing dollar?"} {"instruction": "A chat. In a city with a population of 500,000 people, if 60% of them own a smartphone, how many smartphones are there in the city?"} {"instruction": "A chat. A theme park is analyzing visitor patterns to optimize ride wait times and overall guest satisfaction. The park has 20 attractions with varying capacities and throughput rates, ranging from roller coasters to interactive exhibits. On average, the park receives 10,000 visitors per day, with peak attendance during weekends and holidays. Develop a plan to redistribute visitors among attractions, using strategies such as timed entry tickets, virtual queues, and dynamic pricing. Explain your reasoning and any additional variables that may need to be considered."} {"instruction": "A chat. Let X be a topological space. Prove that the empty set and X are both open sets in X."} {"instruction": "A chat. A father's age is currently three times his son's age. In 10 years, the father will be twice as old as his son. How old are they now?"} {"instruction": "A chat. A square has a side length of 10 units. Inside the square, there is a circle with the maximum possible diameter. What is the area of the shaded region between the square and the circle?"} {"instruction": "A chat. A company produces two types of products, A and B. Product A requires 3 hours of labor per unit, while product B requires 2 hours of labor per unit. If the company has 120 hours of labor available, what is the maximum number of units they can produce?"} {"instruction": "A chat. If a car travels at an average speed of 45 miles per hour, how long will it take to travel 540 miles?"} {"instruction": "A chat. A hospital wants to improve its emergency response time by deploying additional ambulances. Currently, the hospital has 10 ambulances, each capable of responding to an average of 5 emergencies per day. The hospital's goal is to increase the daily response capacity by 30%. Calculate the number of additional ambulances required, considering each ambulance costs $150,000 and has an annual maintenance cost of $20,000.\n"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 15 meters. What is the area of the garden, and what would be the cost to install a fence around the perimeter if fencing costs $10 per meter?"} {"instruction": "A chat. There are 12 boys and 16 girls in a classroom. If 8 students are selected at random to participate in a school event, what is the probability that exactly 4 boys and 4 girls will be chosen?"} {"instruction": "A chat. A cruise ship company wants to optimize its itineraries for maximum revenue and customer satisfaction. They currently offer 20 different cruises, each with varying durations, destinations, and pricing structures. Analyze the factors that contribute to the popularity and profitability of each cruise, such as passenger demographics, onboard activities, and port-of-call attractions. Based on this analysis, recommend changes to the existing itineraries or propose new ones to increase overall revenue and customer satisfaction.\n"} {"instruction": "A chat. If a train travels at an average speed of 60 miles per hour for 4 hours, then increases its speed to 80 miles per hour for the next 3 hours, how far does it travel in total?"} {"instruction": "A chat. Solve the expression: 4 * (6 - 2) / 2 + 8^2 - 9."} {"instruction": "A chat. A factory produces 500 units of product A in 8 hours. If each unit requires 4 minutes of labor time, how many workers are needed to meet this production target?"} {"instruction": "A chat. A factory produces widgets at a rate of 200 per hour. If it takes 2 hours to produce enough widgets for one shipment and each shipment requires an additional 30 minutes for packaging, how many shipments can the factory complete in a 10-hour workday?"} {"instruction": "A chat. A factory produces 500 units of product A every day. How many units are produced in a week if the factory operates 6 days a week?"} {"instruction": "A chat. In a bag, there are 5 red balls and 7 blue balls. You randomly pick two balls without replacement. What is the probability that both balls are of the same color?"} {"instruction": "A chat. If a farmer has 4 different types of fruit trees and wants to plant them in rows, how many unique arrangements can he create?"} {"instruction": "A chat. A train travels from Town A to Town B in 3 hours. The distance between the two towns is 180 miles. On its way back from Town B to Town A, the train takes 6 hours due to a technical issue. What is the average speed of the train for the entire round trip?"} {"instruction": "A chat. If a rectangular garden has a length of 30 feet and a width of 20 feet, how many square feet of sod are needed to cover the entire garden?"} {"instruction": "A chat. A train leaves Town A at 60 mph heading towards Town B, which is 180 miles away. At the same time, another train leaves Town B heading towards Town A at 40 mph. When will the two trains meet?"} {"instruction": "A chat. If a movie theater sells tickets at $8 each and it sold 250 tickets on Friday night, how much money did the theater make? Include your logic."} {"instruction": "A chat. If a farmer has 20 acres of land and wants to plant corn, wheat, and soybeans in equal proportions, how many acres should be allocated for each crop?"} {"instruction": "A chat. A train travels from City A to City B at an average speed of 90 km/h. The distance between the two cities is 450 km. How long does it take for the train to travel from City A to City B?"} {"instruction": "A chat. Calculate the area of a rectangle with a length of 12 meters and a width of 7 meters, showing your work.\n"} {"instruction": "A chat. A square garden has a side length of 10 meters. A gardener wants to build a circular fountain in the center of the garden such that it touches all four sides of the square. What is the diameter of the fountain?"} {"instruction": "A chat. A rectangular room has a length of 15 meters and a width of 10 meters. If you want to cover the entire floor with square tiles that have a side length of 50 centimeters, how many tiles will you need?"} {"instruction": "A chat. There are 100 people in a room. Half of them are wearing glasses, and one-third of them are wearing hats. How many people are wearing both glasses and hats?"} {"instruction": "A chat. A store offers a discount on bulk purchases such that if you buy 2 items, you get a 10% discount on each item, and if you buy 3 or more items, you get a 20% discount on each item. If an item costs $100, how much would it cost to buy 4 items with the bulk discount?"} {"instruction": "A chat. In a class of 25 students, 12 are boys. What percentage of the class is made up of girls? Show your work."} {"instruction": "A chat. A company's revenue is given by the function R(x) = 200x - x^2, where x represents the number of items sold. Determine the maximum revenue and the number of items that must be sold to achieve it. Explain your reasoning.\n"} {"instruction": "A chat. There are three friends named Alice, Bob, and Carol. Alice always tells the truth on Mondays, Tuesdays, and Wednesdays but lies on Thursdays, Fridays, and Saturdays. Bob always tells the truth on Thursdays, Fridays, and Saturdays but lies on Mondays, Tuesdays, and Wednesdays. Carol always tells the truth. One day, they all say \"Today is Thursday.\" What day is it?"} {"instruction": "A chat. In a class of 30 students, 18 play soccer, 12 play basketball, and 8 play both soccer and basketball. How many students in the class don't play either sport?"} {"instruction": "A chat. A train leaves from Station A and travels at a constant speed of 60 miles per hour towards Station B, which is 180 miles away. At the same time, another train leaves from Station B and travels at a constant speed of 90 miles per hour towards Station A. If both trains maintain their speeds, will they meet before reaching their destinations?"} {"instruction": "A chat. There are 5 cats in a room, and each cat catches 3 mice. Each mouse has eaten 2 pieces of cheese before being caught. How many total pieces of cheese have been eaten by the mice?"} {"instruction": "A chat. There are three boxes in front of you. One box contains only apples, another box contains only oranges, and the third box contains both apples and oranges. Each box is labeled with either \"Apples,\" \"Oranges,\" or \"Apples & Oranges.\" However, all three boxes are mislabeled. You can pick one fruit from any box without looking inside. After picking a fruit, how can you correctly label all three boxes?"} {"instruction": "A chat. Write a computer program to simulate the Monty Hall problem and calculate the probability of winning when switching doors."} {"instruction": "A chat. A supermarket chain plans to open a new store in a growing neighborhood. The store will have a floor area of 2,500 square meters and offer various departments, such as produce, bakery, deli, and frozen foods. Based on industry standards, the supermarket allocates 40% of the floor area to produce, 20% to bakery, 15% to deli, and 25% to frozen foods. Calculate the floor area allocated to each department and provide step-by-step reasoning.\n"} {"instruction": "A chat. A rectangular room measures 12 meters by 16 meters. The room is to be completely covered with square tiles, each measuring 2 meters by 2 meters. How many tiles are needed to cover the entire floor?"} {"instruction": "A chat. A bag contains 5 red balls, 3 green balls, and 2 blue balls. If you draw one ball from the bag without looking, what is the probability that it is not blue? Explain your thought process."} {"instruction": "A chat. A store sells packs of pencils and pens. Each pack contains 4 pencils and 6 pens. How many packs should be bought if someone needs 100 pencils and 150 pens?"} {"instruction": "A chat. A factory produces 100 units per day at a cost of $10 per unit. If they increase production to 150 units per day, their cost per unit drops to $8. What is the marginal cost of producing an additional 50 units? Show your work.\n"} {"instruction": "A chat. A class consists of 15 boys and 20 girls. In how many ways can a committee of 5 students be formed if it must include at least 2 girls?"} {"instruction": "A chat. Determine the Laplace transform of f(t) = e^(2t) * sin(3t)"} {"instruction": "A chat. In a class of 35 students, 15 are boys and the rest are girls. What is the ratio of boys to girls in the class?"} {"instruction": "A chat. A train travels from Town A to Town B at an average speed of 90 kilometers per hour. The distance between the two towns is 450 kilometers. If the train stops for a total of 30 minutes during the journey, how long does the entire trip take?"} {"instruction": "A chat. A baker uses 2 eggs to make 3 cupcakes. How many eggs does she need to make 24 cupcakes? Reason step-by-step."} {"instruction": "A chat. Given a matrix A = [[1, 2], [3, 4]], calculate its inverse and determinant, showing each step in your calculations.\n"} {"instruction": "A chat. In a small village, every person knows everyone else. If each person shakes hands with every other person exactly once, how many handshakes occur if there are 10 people in the village?"} {"instruction": "A chat. A box contains 12 balls, and each ball weighs either 10 grams or 20 grams. The total weight of all the balls is 180 grams. How many 20-gram balls are in the box?"} {"instruction": "A chat. In a village, there are 20 houses. Each house has either blue or red doors. If every house with a blue door is next to two houses with red doors, how many houses have blue doors?"} {"instruction": "A chat. It takes 8 hours to fill a swimming pool using 2 hoses. How long would it take to fill the same pool using 4 hoses? Explain your reasoning."} {"instruction": "A chat. In how many ways can a committee of 3 people be chosen from a group of 12 people?"} {"instruction": "A chat. There are two boxes, one containing 100 black marbles and the other containing 100 white marbles. You need to divide the marbles into these two boxes in such a way that when you pick a box randomly and draw a marble from it, your chances of getting a black marble are maximized. How should you arrange the marbles?"} {"instruction": "A chat. A company sells 1000 units of product X at a price of $20 per unit and 2000 units of product Y at a price of $15 per unit. If the production cost for each unit of product X is $12 and for each unit of product Y is $10, what is the total profit generated by the company?"} {"instruction": "A chat. If a store sells 3 apples for $1, how much would it cost to buy enough apples to make 5 apple pies, given that each pie requires 8 apples?"} {"instruction": "A chat. A bag contains 5 red balls, 7 blue balls, and 3 green balls. What is the probability of drawing a red ball from the bag without looking?"} {"instruction": "A chat. A book has 250 pages. If each page has 300 words, how many words are there in the book? Show your reasoning."} {"instruction": "A chat. An airline company is analyzing its flight routes to optimize fuel consumption and reduce costs. They currently operate 100 flights per day, with an average distance of 1,000 miles per flight. Each plane consumes 5 gallons of fuel per mile flown. The price of jet fuel varies between $2.00 and $3.00 per gallon depending on market conditions. Calculate the daily fuel consumption and total fuel cost range for the airline's operations. Also, propose potential strategies to reduce fuel consumption and overall operational costs.\n"} {"instruction": "A chat. If you were to stack pennies on top of each other, how tall would a stack of 1,000 pennies be?"} {"instruction": "A chat. A car travels from Town A to Town B at an average speed of 60 miles per hour and returns to Town A at an average speed of 40 miles per hour. What is the average speed of the entire trip?"} {"instruction": "A chat. In a chemistry class, there are 25 students. Each student needs 0.5 liters of solution A and 0.3 liters of solution B for an experiment. How many liters of each solution does the teacher need to prepare for the entire class?"} {"instruction": "A chat. A store offers a 20% discount on all items during a sale. If a shirt originally costs $45, what is the new price after the discount? Explain your reasoning.\n"} {"instruction": "A chat. In a class of 30 students, 18 play soccer, 20 play basketball, and 22 play volleyball. If 6 students play all three sports, how many students play only one sport?"} {"instruction": "A chat. A store sells three types of items: X, Y, and Z. Item X costs $5, item Y costs $10, and item Z costs $15. If a customer buys 4 items of type X, 3 items of type Y, and 2 items of type Z, what is the total cost of their purchase?"} {"instruction": "A chat. How many positive integer solutions are there for the equation x + y = 20, where x and y are integers greater than or equal to 1?"} {"instruction": "A chat. There are 10 people in a room, including you. You shake hands with everyone except yourself. Then each person shakes hands with every other person exactly once. How many handshakes happen in total?"} {"instruction": "A chat. In a family of 5 children, each child was born in a different year. The youngest child is 4 years old, and the oldest child is 16 years old. If the age difference between any two consecutive siblings is at least 2 years, what is the minimum possible sum of all the children's ages?"} {"instruction": "A chat. If a man buys 5 apples every day for a week, how many apples does he have at the end of the week? Explain your reasoning."} {"instruction": "A chat. A train travels from Station A to Station B at a constant speed. The distance between the two stations is 240 miles. If the train takes 4 hours to complete the journey, what is its average speed?"} {"instruction": "A chat. How many possible combinations of 4-digit PIN codes can be created using the numbers 0 through 9, if each number can only be used once in a code?"} {"instruction": "A chat. A man earns $20 for every hour he works. If he works 8 hours a day, how much will he earn in a week? Show your work."} {"instruction": "A chat. If a tree grows at a rate of 2 cm per year, how tall would the tree be after 50 years? Include your logic."} {"instruction": "A chat. A man spends 1/3 of his salary on rent, 1/4 on groceries, 1/5 on transportation, and the rest on miscellaneous expenses. If his miscellaneous expenses amount to $600, what is his monthly salary? Show your work."} {"instruction": "A chat. Can a man living in New York be buried west of the Mississippi River? Provide your reasoning."} {"instruction": "A chat. There are 50 red balls and 50 blue balls in a box. You have to draw balls without looking at them. What is the minimum number of balls you must draw to ensure that you have at least 3 balls of the same color?"} {"instruction": "A chat. A factory produces a total of 500 units per day. The defective rate for the production is 2%. How many non-defective units does the factory produce in one week (7 days)?"} {"instruction": "A chat. It takes 20 minutes to boil a pot of water for pasta. How long will it take to cook pasta for 8 people?"} {"instruction": "A chat. In a class of 30 students, 18 are girls and 12 are boys. If 5 students are randomly selected from the class, what is the probability that exactly 3 of them will be girls?"} {"instruction": "A chat. A train travels at an average speed of 80 kilometers per hour and takes 7 hours to reach its destination. If it stops at 6 stations along the way, how long does it spend at each station if the total time spent at stations is 1 hour?"} {"instruction": "A chat. A bakery wants to expand its production capacity by adding new ovens. Each oven can bake 100 loaves of bread per hour, and the bakery operates 12 hours a day. The bakery currently produces 2,000 loaves daily but aims to increase production to 3,500 loaves. Determine how many additional ovens are required to meet this goal and explain your reasoning.\n"} {"instruction": "A chat. In a class of 40 students, 60% are female. If there is an equal ratio of left-handed to right-handed females, how many left-handed females are there?"} {"instruction": "A chat. If a car is traveling at 65 mph and needs to cover a distance of 325 miles, how long will it take to reach its destination?"} {"instruction": "A chat. A box contains 4 defective items and 16 non-defective items. If you randomly select 3 items from the box, what is the probability that at least one of them is defective?"} {"instruction": "A chat. In a village, there are 10 houses. Each house has at least one pet. If no two houses have the same number of pets and each house has less than 10 pets, how many pets does the house with the most pets have?"} {"instruction": "A chat. In a room, there are 10 people including Mary. Each person knows exactly 3 other people in the room. If we know that none of these people have any common friends, how many people does Mary know?"} {"instruction": "A chat. If a rectangle has a length of 10 meters and a width of 6 meters, what is its area?"} {"instruction": "A chat. There are three switches outside a room, one of which controls a light bulb inside the room. You can only enter the room once and must determine which switch controls the light bulb. How can you do this?"} {"instruction": "A chat. A company's revenue is increasing at a rate of 5% per month. If their current monthly revenue is $50,000, what will be their revenue in 6 months?"} {"instruction": "A chat. If a rectangular room has an area of 200 square feet and a width of 10 feet, what is its length?"} {"instruction": "A chat. If a factory produces 1500 items per day and operates for 20 days in a month, how many defective items are produced if the defect rate is 2%?"} {"instruction": "A chat. A car rental company has a fleet of 30 cars. They rent out 20% of their cars on Monday and 40% of their remaining cars on Tuesday. How many cars are left unrented after Tuesday?"} {"instruction": "A chat. In a bag containing 5 red balls, 3 blue balls, and 2 green balls, what is the probability of drawing one ball of each color if you draw three balls without replacement?"} {"instruction": "A chat. If a car rental company charges $20 per day for renting a car and an additional fee of $0.15 per mile driven, how much would it cost to rent the car for 4 days and drive it for 150 miles?"} {"instruction": "A chat. A box contains 15 apples and 10 oranges. If you randomly pick a fruit from the box without looking, what is the probability that it will be an apple? Provide step-by-step logic."} {"instruction": "A chat. A store sells apples in bags of 4 and oranges in bags of 5. If you want to buy an equal number of apples and oranges, what is the minimum number of each fruit that you must buy?"} {"instruction": "A chat. If a coffee shop serves 80 cups of coffee in an hour, how many cups do they serve in a week if they are open 8 hours a day, 7 days a week? Provide step-by-step logic."} {"instruction": "A chat. There are 1000 boxes numbered from 1 to 1000. Box number 1 contains 1 gold coin, box number 2 contains 2 gold coins, and so on until box number 1000 contains 1000 gold coins. You are allowed to open only 50 boxes and take all the gold coins inside those boxes. Which boxes should you choose to maximize the number of gold coins you collect?"} {"instruction": "A chat. A factory produces 500 units of a product every day. Each unit is inspected before being shipped. The inspection process has an error rate of 2%. How many defective units can be expected to pass through the inspection in a month with 30 days?"} {"instruction": "A chat. John eats 2 apples on Monday and doubles the amount he eats each day thereafter. How many apples does he eat on Thursday? Provide your logic."} {"instruction": "A chat. There are 100 people in a line waiting for a bus. The first person in line is wearing a hat. For every person wearing a hat, there are 9 people without hats between them and the next person wearing a hat. How many people in total are wearing hats?"} {"instruction": "A chat. A train leaves from New York City heading towards Los Angeles at 100 mph. Three hours later, a train leaves Los Angeles heading towards New York City at 200 mph. Assuming there are no stops along the way, which train will be closer to New York City when they meet?"} {"instruction": "A chat. A group of people consists of engineers, doctors, and lawyers. There are twice as many engineers as doctors, and three times as many lawyers as engineers. How many different ways can you arrange these professionals into groups of 6, such that each group has at least one engineer, one doctor, and one lawyer? Explain your thought process."} {"instruction": "A chat. A national sports league wants to expand its fan base by increasing attendance at games and viewership on television. The league currently has 30 teams, with an average stadium capacity of 40,000 spectators. They aim to increase overall attendance by 20% within the next three years. Identify strategies for achieving this goal and provide a detailed plan for implementation, including marketing efforts, ticket pricing adjustments, and improvements to the game-day experience.\n"} {"instruction": "A chat. If you read 20 pages of a book every day, how many pages would you have read in a non-leap year? Show your work."} {"instruction": "A chat. A box contains 15 red balls and 10 blue balls. What fraction of the balls are blue? Show your work."} {"instruction": "A chat. A square has a side length of 4 inches. If you cut the square into four equal smaller squares, what is the side length of each smaller square?"} {"instruction": "A chat. You have a bag with 4 red balls and 6 blue balls. What is the probability of drawing a red ball from the bag without looking? Show your work."} {"instruction": "A chat. What is the sum of all positive integers that are divisible by either 3 or 5 and less than 1000?"} {"instruction": "A chat. A store sells books at a 25% discount off their original price. If a customer buys a book with an original price of $40, how much will they pay after adding a 10% sales tax on the discounted price?"} {"instruction": "A chat. A man gives one-fourth of his money to his wife, one-third to his son, and the rest to his daughter. If the daughter receives $1000 more than the wife, how much money did the man originally have?"} {"instruction": "A chat. A zoo is planning to expand its animal habitats by adding new enclosures for various species. The expansion will take place over three phases, with each phase focusing on a specific group of animals: mammals, birds, and reptiles/amphibians. The total budget for the project is $3 million, with 40% allocated to mammal enclosures, 30% to bird enclosures, and the remaining 30% to reptile/amphibian enclosures. Determine how much money should be spent on each type of enclosure, and provide step-by-step reasoning.\n"} {"instruction": "A chat. You have a bee in your hand. What's in your eye? Explain your thought process."} {"instruction": "A chat. In a village, there are 10 houses. Each house has a different number of people living in it, ranging from 1 to 10. If the sum of all the people living in these houses is 55, how many people live in the house with the highest number of residents?"} {"instruction": "A chat. In how many ways can you arrange the letters of the word \"ORANGE\" such that vowels always appear together?"} {"instruction": "A chat. There are 5 birds sitting on a tree branch. A hunter shoots one bird. How many birds remain on the tree branch? Explain your logic."} {"instruction": "A chat. Calculate the present value of an investment that will pay $5,000 in five years if the annual interest rate is 4%. Use the formula PV = FV/(1+r)^n. Explain your reasoning.\n"} {"instruction": "A chat. A large hotel chain wants to improve its customer satisfaction ratings by upgrading room amenities and offering personalized services. The company plans to invest $50 million in these improvements over the next three years. They need to prioritize which hotels within their portfolio should receive upgrades first, based on factors such as occupancy rates, average guest spending, and location. Develop a plan for allocating the investment across the hotel chain and describe your reasoning.\n"} {"instruction": "A chat. In a certain city, 60% of the population owns a car, and 30% of the population uses public transportation. If there are 240,000 people in the city, how many people use neither cars nor public transportation?"} {"instruction": "A chat. A national park is conducting a study on the impact of tourism on wildlife populations. They have data on the number of visitors, duration of visits, and types of activities engaged in by tourists. The park is home to 300 different species of animals, with varying levels of sensitivity to human disturbance. The park management wants to develop guidelines for sustainable tourism that minimizes negative impacts on wildlife while maintaining visitor satisfaction. Describe the steps involved in this analysis and identify the variables to be considered.\n"} {"instruction": "A chat. Alice has twice as many apples as Bob. Charlie has half as many apples as Bob. If they have a total of 21 apples together, how many apples does each person have?"} {"instruction": "A chat. A store offers a 20% discount on an item that originally costs $150. If a customer also has a coupon for an additional 10% off after the first discount is applied, what is the final price of the item?"} {"instruction": "A chat. A train leaves Station A at 6 PM traveling at 60 miles per hour. Another train leaves Station B, which is 120 miles away from Station A, at 7 PM traveling at 80 miles per hour. At what time will they meet?"} {"instruction": "A chat. A shipping company wants to optimize its cargo transportation between two ports. Each ship can carry up to 1000 tons of cargo, and the company has a fleet of 5 ships. The distance between the ports is 2000 miles, and each ship travels at an average speed of 15 knots. Calculate the maximum amount of cargo that can be transported between the ports in one month, assuming that each ship makes a round trip every week. Describe your reasoning.\n"} {"instruction": "A chat. A factory produces 500 units of product A every day. It takes 3 days to produce enough components for 2000 units of product B. How many units of product A are produced while the components for product B are being made?"} {"instruction": "A chat. An online retailer wants to expand its product offerings by adding 1,000 new items to its inventory. Each item has an average wholesale cost of $25 and will require $5 in packaging materials. The company plans to store these items in a rented warehouse space that costs $0.10 per square foot per month. If each item occupies 2 square feet of space, calculate the monthly rent for the warehouse and the initial investment required to add these new products to their inventory.\n"} {"instruction": "A chat. A store sells apples for $1.50 per pound and oranges for $2.00 per pound. If a customer buys 4 pounds of apples and 3 pounds of oranges, how much will they pay before tax if the store offers a 5% discount on the total purchase?"} {"instruction": "A chat. Find the Maclaurin series expansion of sin(x) up to the fifth degree term."} {"instruction": "A chat. You have 10 pairs of socks in a drawer. Each pair consists of one black sock and one white sock. If you reach into the drawer without looking and pull out two random socks, what are the chances that they will form a matching pair? Use logical reasoning."} {"instruction": "A chat. A bacteria population doubles every 20 minutes. If there are initially 500 bacteria, how many will there be after 2 hours?"} {"instruction": "A chat. A company has a revenue of $120,000 and expenses of $80,000. What is the profit margin as a percentage?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 10 meters and a height of 5 meters. If it takes 8 hours to fill the tank completely, what is the flow rate of the water in liters per minute?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes 3 hours for the train to travel from Town A to Town B. How long would it take for the train to travel from Town A to Town C if Town C is twice as far away from Town A as Town B?"} {"instruction": "A chat. If a person reads 20 pages of a book each day for 5 days, then increases their reading pace to 30 pages per day for the next 7 days, how many total pages will they have read after these 12 days?"} {"instruction": "A chat. If a car travels at an average speed of 45 mph for 2.5 hours, then stops for 30 minutes and continues traveling at an average speed of 55 mph for another 3 hours, what is the total distance covered by the car?"} {"instruction": "A chat. A store sells three types of fruit: apples, oranges, and bananas. The store sells 150 apples, 200 oranges, and 250 bananas in one day. If apples cost $1.50 each, oranges cost $1.00 each, and bananas cost $0.50 each, what is the total revenue from fruit sales in one day?"} {"instruction": "A chat. There are 4 red balls, 3 blue balls, and 2 green balls in a bag. If you pick two balls at random without replacement, what is the probability that both balls will be of different colors?"} {"instruction": "A chat. (3^2 * 5) / (15 - 6) ="} {"instruction": "A chat. A store sells two types of items: Type A has a profit margin of 30% and Type B has a profit margin of 50%. If the store sells 100 units of Type A at $20 each and 200 units of Type B at $10 each, what is their total profit?"} {"instruction": "A chat. If you travel at a constant speed of 50 miles per hour for 2 hours and 30 minutes, how far will you have traveled?"} {"instruction": "A chat. In a village, there are 20 houses. Every house has at least one pet. If there are 10 dogs and 15 cats in the village, what is the minimum number of houses that have both a dog and a cat?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding new bus routes and increasing the frequency of buses on existing routes. The city currently has 100 buses, each with a capacity of 50 passengers. The proposed plan will require an additional 150 buses, with a total budget of $20 million for purchasing new buses and upgrading infrastructure. Each new bus costs $200,000, and infrastructure upgrades are estimated at $5 million. Calculate the number of new bus routes that can be added, considering the available budget and the cost of each bus. Also, estimate the increase in passenger capacity per day if the average trip duration is 30 minutes and buses run from 6 AM to 10 PM.\n"} {"instruction": "A chat. The Earth has a circumference of approximately 24,901 miles. If you were to walk around the entire Earth at an average speed of 3 miles per hour without stopping, how long would it take you?"} {"instruction": "A chat. A cruise ship company is planning a new itinerary for a 14-day voyage that will visit seven different ports across three countries. The ship can accommodate up to 3,000 passengers and offers various onboard amenities, including restaurants, bars, shops, and entertainment venues. Calculate the potential revenue generated from ticket sales, assuming an average price of $2,000 per passenger, as well as additional income from onboard spending. Factor in port fees, fuel costs, crew salaries, and other expenses when determining the profitability of this itinerary.\n"} {"instruction": "A chat. A hospital wants to optimize its patient care by reducing waiting times for appointments. Currently, there are 20 doctors working at the hospital, each seeing an average of 15 patients per day. The hospital plans to hire additional doctors to increase the daily number of patients seen by 25%. Calculate how many more doctors need to be hired and determine the impact on the average waiting time for appointments, assuming that the demand for appointments remains constant.\n"} {"instruction": "A chat. If a car rental company has a fleet of 100 cars, with 60% being sedans, 30% being SUVs, and 10% being convertibles, how many more sedans are there than SUVs?"} {"instruction": "A chat. A factory produces 1000 widgets per day. Each widget is inspected before being shipped out. On average, 95% of the widgets pass inspection. How many widgets are expected to fail inspection each day?"} {"instruction": "A chat. A farmer sells apples at a local market. The farmer has 120 apple trees, and each tree produces an average of 400 apples per season. If the farmer sells each apple for $0.50, what is the total revenue generated from all the apples?"} {"instruction": "A chat. There are 5 apples in a basket. You take out 3 apples from the basket. How many apples do you have?"} {"instruction": "A chat. If an electric train is traveling east at 70 mph and the wind is blowing west at 20 mph, in which direction does the smoke blow?"} {"instruction": "A chat. If a triangle has side lengths of 9 cm, 12 cm, and 15 cm, what is the area of the triangle?"} {"instruction": "A chat. A factory produces 1000 units of a product every day. The factory operates for 6 days a week and takes one day off. If the factory continues this schedule for 4 weeks, how many units will it produce in total?"} {"instruction": "A chat. There are 7 people in a secret club. Each person knows a unique secret that no one else does. They decide to share their secrets with each other using only letters. How many letters would be needed for everyone to know every secret? Explain your reasoning."} {"instruction": "A chat. A factory produces 250 units of product A per day. If each unit of product A requires 4 hours of labor, how many total hours of labor are needed to produce the product for 5 days?"} {"instruction": "A chat. A hospital is planning to expand its emergency department to accommodate more patients. The current emergency department has 20 beds and serves an average of 100 patients per day. The hospital wants to increase its capacity by 50% over the next five years. Calculate the number of additional beds required, considering factors such as population growth, seasonal fluctuations in patient volume, and changes in healthcare demand.\n"} {"instruction": "A chat. In a family of 5, there are two sets of twins. One set is older than the other. The oldest twin has one more sibling than the youngest twin. How many siblings does the youngest twin have?"} {"instruction": "A chat. In a village, there are 10 houses. Each house has 5 rooms and each room has 2 windows. During the day, half of the windows in each house are open. How many windows are closed during the day?"} {"instruction": "A chat. In a school election, candidate X received 60% of the votes while candidate Y received the remaining votes. If there were a total of 1,200 votes cast, how many more votes did candidate X receive than candidate Y?"} {"instruction": "A chat. Solve: ((4^2 - 3) * 6 + 12) / 2 ="} {"instruction": "A chat. A car travels at a constant speed of 60 miles per hour. If it takes 2 hours to reach its destination, how far is the destination from the starting point?"} {"instruction": "A chat. A company sells two types of items: Item X and Item Y. The profit margin on each unit of Item X is $5, while the profit margin on each unit of Item Y is $8. If the company sold 120 units of Item X and 80 units of Item Y in a month, what was their total profit for that month?"} {"instruction": "A chat. In a school with 1,000 students, 60% play soccer and 30% play basketball. If 15% of the students play both sports, how many students do not play either sport?"} {"instruction": "A chat. It takes 5 builders 4 days to build a wall. How long would it take 10 builders to build the same wall? Explain your reasoning."} {"instruction": "A chat. A car wash takes 15 minutes to clean one car. How long would it take to clean 5 cars with two washing stations available?"} {"instruction": "A chat. A store sells two types of widgets, X and Y. The cost of producing one unit of widget X is $12, while the cost of producing one unit of widget Y is $8. The store wants to produce a total of 500 widgets with a combined production cost of $5,200. How many units of each widget should be produced?"} {"instruction": "A chat. A group of friends went to a restaurant for dinner. They decided to split the bill evenly among themselves. However, two friends realized they forgot their wallets and couldn't pay. To accommodate this, each of the remaining friends paid an extra $5. If there were originally 10 friends in total, how much was the total bill?"} {"instruction": "A chat. A store sells two types of widgets, Type A and Type B. The profit for each Type A widget is $3, while the profit for each Type B widget is $5. If the store sells a total of 100 widgets and makes a total profit of $420, how many of each type of widget were sold?"} {"instruction": "A chat. A water tank has a capacity of 10,000 liters. It is currently filled with 3,000 liters of water. A pipe fills the tank at a rate of 500 liters per hour, while another pipe drains the tank at a rate of 200 liters per hour. How long will it take for the tank to be completely filled?"} {"instruction": "A chat. If a plane flies at an average speed of 500 mph against a headwind of 50 mph, how long will it take to travel 2,250 miles?"} {"instruction": "A chat. A factory produces 3 types of products: A, B, and C. The production ratio is 5:3:2, respectively. If the factory produces a total of 500 items per day, how many of each product type does it produce daily?"} {"instruction": "A chat. A factory produces 1000 widgets per day. Of these, 5% are defective. An inspector checks 200 widgets each day and finds 12 defective ones. What percentage of defective widgets does the inspector miss each day?"} {"instruction": "A chat. (4^2 * 3) / (6 - 2)^2 + 7 ="} {"instruction": "A chat. A food processing plant wants to optimize its production line for maximum efficiency. The plant processes raw materials into finished products through various stages, including washing, cutting, cooking, packaging, and storage. Each stage has different equipment and labor requirements. Determine the optimal allocation of resources and personnel to minimize production costs while maintaining product quality and meeting customer demand.\n"} {"instruction": "A chat. In a game, you have a 1 in 4 chance of winning on your first turn, a 1 in 3 chance of winning on your second turn, and a 1 in 2 chance of winning on your third turn. What is the probability that you will win within your first three turns?"} {"instruction": "A chat. A shipping company wants to optimize its delivery routes to reduce fuel consumption and overall transportation costs. The company operates a fleet of 50 trucks, each with a maximum load capacity of 20 tons. Each truck travels an average of 100 miles per day, consuming 10 gallons of diesel fuel. Develop a plan to improve the efficiency of the delivery routes, taking into account factors such as distance traveled, weight carried, and fuel consumption. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In an election with 3 candidates, candidate A received 40% of the votes, candidate B received 35%, and candidate C received the remaining votes. If there were a total of 10,000 votes cast, how many more votes did candidate A receive than candidate B?"} {"instruction": "A chat. A bee visits 20 flowers in a minute. How many flowers does the bee visit in a day? Use logical steps to solve the problem."} {"instruction": "A chat. A chemist needs to create a solution that is 40% acid by mixing two solutions: one that is 25% acid and another that is 60% acid. How many liters of each solution should be mixed to create 5 liters of the desired solution? Show your work.\n"} {"instruction": "A chat. A store sells bags of candy at $12 per bag. If they offer a discount of 20% on each bag during a sale, how much will 7 bags cost during the sale?"} {"instruction": "A chat. Determine the Galois group of the polynomial x^4 - 10x^2 + 1 over the rational numbers."} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 miles per hour. It takes 5 hours to reach Town B. On its way back to Town A, the train stops at Town C for 30 minutes. How long did it take for the train to travel from Town A to Town B and back to Town A, including the stop at Town C?"} {"instruction": "A chat. In a bag, there are 7 red balls and 3 green balls. You randomly pick one ball, look at its color, and then put it back into the bag. What is the probability that you will pick a red ball twice in a row?"} {"instruction": "A chat. A jar contains 4 blue marbles, 6 green marbles, and 10 yellow marbles. If you randomly pick two marbles from the jar without replacement, what is the probability that one marble is blue and the other is green?"} {"instruction": "A chat. A large hospital is analyzing its emergency room (ER) operations to improve patient wait times. On average, the ER receives 500 patients per day, with 60% requiring immediate attention, 30% needing urgent care, and the remaining 10% having non-urgent issues. Each category has different staffing requirements: immediate attention requires 1 doctor and 2 nurses per patient, urgent care needs 1 doctor and 1 nurse per patient, and non-urgent cases require only 1 nurse per patient. Calculate the total number of doctors and nurses needed per day to meet these demands, factoring in a 12-hour shift length and an ideal maximum workload of 6 patients per healthcare professional per shift.\n"} {"instruction": "A chat. A snail climbs up a wall 20 feet high. Each day it climbs 5 feet but at night, it slips back 4 feet. How many days will it take for the snail to reach the top of the wall? Show your work."} {"instruction": "A chat. In a chess tournament, each player plays against every other player exactly once. If there were a total of 45 games played, how many players participated in the tournament?"} {"instruction": "A chat. A sequence follows the rule \"multiply by 2 and then subtract 3\" starting with the number 4. What will be the 5th term in this sequence?"} {"instruction": "A chat. If a car rental company has 100 cars and rents them out at an average rate of $50 per day, how much more money would they make if they increased their daily rental price by 10% and rented out all the cars for 30 days?"} {"instruction": "A chat. A book has 400 pages. You open the book exactly in the middle and start reading forward. After reading half of the remaining pages, you again split the remaining pages equally and read half. If you continue this pattern until you finish the book, how many times did you split the pages? Include your logic."} {"instruction": "A chat. A bee visits 50 flowers in one hour. How many flowers does it visit in a day assuming it works for 8 hours a day? Show your work."} {"instruction": "A chat. A rectangular garden measures 30 feet by 40 feet. If a gardener wants to create a walking path around the garden that is 4 feet wide, what will be the area of the walking path?"} {"instruction": "A chat. In a room, there are 5 mathematicians and 3 philosophers. Each mathematician has exactly 2 philosopher friends, and each philosopher has an equal number of mathematician friends. How many friendships exist between the mathematicians and philosophers? Explain your reasoning."} {"instruction": "A chat. A telecommunications company is upgrading its network infrastructure to support increased demand for high-speed internet services. The upgrade requires installing fiber-optic cables along 500 miles of roads, at a cost of $100,000 per mile. In addition, the company needs to install signal amplifiers every 10 miles, which cost $50,000 each. Calculate the total cost of the network upgrade project, and estimate the time required to complete it, assuming a team of technicians can install 2 miles of cable and one amplifier per day.\n"} {"instruction": "A chat. In a small town, there are two barbers. One has a neat and tidy haircut, while the other has a messy and unkempt haircut. Which barber should you go to for a good haircut?"} {"instruction": "A chat. There are 10 birds on a fence. If you shoot one bird, how many birds will be left on the fence?"} {"instruction": "A chat. In a town, every person has exactly two pets - either cats or dogs. If there are 100 people living in the town, how many total legs (human and animal) are there in the town?"} {"instruction": "A chat. A large supermarket chain plans to optimize its supply chain by building a centralized distribution center. The company operates 200 stores across the country, each receiving deliveries from multiple suppliers. The goal is to consolidate all supplier deliveries at the distribution center and then distribute products to individual stores using their own fleet of trucks. Estimate the potential cost savings by comparing the current transportation costs with the proposed system, considering factors such as fuel efficiency, delivery frequency, and truck utilization rates.\n"} {"instruction": "A chat. A city is evaluating the feasibility of implementing a bike-sharing program to reduce traffic congestion and promote healthy transportation alternatives. The initial investment includes purchasing 1,000 bicycles at a cost of $300 each, installing 100 docking stations at a cost of $10,000 per station, and setting up a mobile app for users to rent bikes. Calculate the total upfront cost of launching the bike-sharing program. Also, estimate the annual maintenance costs, assuming each bicycle requires an average of $50 in repairs per year, and the docking stations need $5,000 in upkeep annually.\n"} {"instruction": "A chat. A car rental company has 20 cars available for rent. If 60% of the cars are rented out, how many cars are still available?"} {"instruction": "A chat. If a spider spins a web with 8 lines radiating from the center, creating equal angles between each line, what is the measure of each angle? Explain step-by-step."} {"instruction": "A chat. There are 5 red balls and 3 green balls in a box. If you randomly pick one ball from the box without looking, what is the probability that it is NOT a red ball?"} {"instruction": "A chat. There are 3 boxes, each containing a mixture of black and white balls. Box A has 4 black balls and 6 white balls. Box B has 5 black balls and 7 white balls. Box C has 8 black balls and 2 white balls. If you pick one ball from each box without looking, what is the probability that you will have exactly two black balls?"} {"instruction": "A chat. A man has 7 friends. He wants to invite some of them to dinner but not all of them. In how many ways can he invite his friends?"} {"instruction": "A chat. A fair six-sided die is rolled three times. What is the probability that the sum of the numbers rolled is equal to 11?"} {"instruction": "A chat. The world record for most push-ups completed in one minute is 152. How many push-ups would be completed if someone maintained this pace for 5 minutes?"} {"instruction": "A chat. A jar contains red, blue, and green marbles. There are twice as many red marbles as blue marbles, and three times as many green marbles as red marbles. If there are 120 marbles in total, how many blue marbles are there?"} {"instruction": "A chat. If a farmer has 3 fields with the following dimensions: Field A is 120 meters long and 80 meters wide, Field B is 150 meters long and 60 meters wide, and Field C is 180 meters long and 50 meters wide. How many square meters of land does the farmer have in total?"} {"instruction": "A chat. In a class of 28 students, 16 are boys. What fraction of the class is made up of girls? Show your work."} {"instruction": "A chat. In a family of 5 people, there are two sets of twins. One twin from each set has brown eyes, while the other twin has blue eyes. The fifth person in the family has green eyes. What is the probability that a randomly chosen person from this family has brown eyes?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding new electric buses to the fleet. The city currently has 100 diesel buses, each with a fuel efficiency of 4 miles per gallon and an average daily route distance of 150 miles. The electric buses have a range of 200 miles on a single charge and cost $500,000 each. Calculate the total cost of replacing all diesel buses with electric ones, as well as the potential fuel savings in gallons over one year, assuming that diesel costs $3 per gallon.\n"} {"instruction": "A chat. A city's public transportation system consists of buses and trains. There are currently 150 buses and 50 trains in operation. Each bus can carry up to 60 passengers, while each train can accommodate up to 300 passengers. During peak hours, the occupancy rate for both modes of transport is approximately 80%. Calculate the maximum number of passengers that can be transported during peak hours, and determine if the current transportation system can handle a projected population growth of 20% over the next five years. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A group of people are standing in line waiting for a bus. There are 7 women and more than twice as many men as women. How many people are there in total? Show your work."} {"instruction": "A chat. A train travels at a speed of 80 kilometers per hour for 3 hours and then increases its speed to 100 kilometers per hour for another 2 hours. What is the total distance traveled by the train?"} {"instruction": "A chat. You have a drawer with 12 red socks and 8 blue socks. It's dark, and you cannot see the colors. How many socks do you need to take out to guarantee that you have at least one pair of matching socks?"} {"instruction": "A chat. A store offers a discount on a product that costs $150. The discount is 20% off the original price, followed by an additional 15% off the discounted price. What is the final price of the product after both discounts are applied?"} {"instruction": "A chat. Calculate the probability of drawing a red card from a standard deck of playing cards (52 cards total). Show your work.\n"} {"instruction": "A chat. Calculate the present value of a $10,000 investment that will mature in five years at an annual interest rate of 6%, compounded annually. Explain your calculations.\n"} {"instruction": "A chat. A car travels 150 miles in 3 hours. If it maintains the same speed, how long will it take to travel an additional 100 miles?"} {"instruction": "A chat. A logistics company wants to optimize its warehouse operations to minimize labor costs and improve order fulfillment times. The warehouse handles 5,000 unique products, with varying levels of demand and storage requirements. Develop a plan for organizing the warehouse layout, assigning staff responsibilities, and implementing technology solutions to streamline processes and maximize efficiency."} {"instruction": "A chat. If A is greater than B, and B is greater than C, then is it always true that A + C is greater than 2B? Explain your thought process."} {"instruction": "A chat. A train leaves Station A at 6:00 PM traveling east at 60 mph. Another train leaves Station B at 7:00 PM traveling west toward Station A at 80 mph. The distance between the stations is 420 miles. At what time will the trains pass each other?"} {"instruction": "A chat. If a book has 250 pages and you read 25 pages per day, how many days will it take to finish the book? Show your work."} {"instruction": "A chat. A factory produces 100 units of a product in 5 hours. If the factory operates for 20 hours, how many units will it produce?"} {"instruction": "A chat. If a person invests $10,000 in a savings account with an annual interest rate of 4%, compounded quarterly, how much money will be in the account after 5 years?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the two towns is 120 miles. If the train had traveled 10 mph faster, it would have arrived an hour earlier. What was the original speed of the train?"} {"instruction": "A chat. Calculate the limit as x approaches infinity for the function f(x) = (3x^2 + 2x - 1)/(x^2 + 4). Explain each step.\n"} {"instruction": "A chat. A train leaves City A towards City B at 60 mph. At the same time, another train leaves City B towards City A at 80 mph. The distance between the two cities is 420 miles. How far from City A will they meet?"} {"instruction": "A chat. In a game show, you have to choose between three doors. Behind one door is a car, while behind the other two doors are goats. After you pick a door, the host, who knows what's behind each door, opens one of the other two doors to reveal a goat. He then asks if you want to switch your choice to the remaining unopened door or stick with your original choice. Should you switch or stick with your original choice to maximize your chances of winning the car?"} {"instruction": "A chat. If a train travels at an average speed of 90 km/h and takes 4 hours to reach its destination, how far away is the destination?"} {"instruction": "A chat. It takes 20 minutes for a microwave to cook 3 servings of rice. How long would it take to cook 12 servings of rice?"} {"instruction": "A chat. A store offers a 20% discount on all items during a sale. If a customer buys an item worth $100 and pays with a gift card that has a remaining balance of $50, how much cash does the customer need to pay for the purchase?"} {"instruction": "A chat. In a town, there are 10 houses on one side of the street and 12 houses on the other side. Each house has either a red or blue door. If there are more houses with red doors than blue doors on both sides of the street, what is the minimum number of red doors? Explain your reasoning."} {"instruction": "A chat. A factory produces 400 units of product A and 600 units of product B every day. Product A requires 2 hours of labor per unit, while product B requires 3 hours of labor per unit. If the factory operates for 10 hours a day, how many workers are needed to meet the daily production target?"} {"instruction": "A chat. If you drive at a constant speed of 60 mph for 3 hours and then increase your speed to 80 mph for another 2 hours, what is your total distance traveled?"} {"instruction": "A chat. If a car uses 8 gallons of gas to travel 240 miles, what is its fuel efficiency in miles per gallon (mpg) and liters per 100 kilometers (L/100km)?"} {"instruction": "A chat. In a classroom, there are 12 boys and 8 girls. If every boy shakes hands with every other boy once, and every girl shakes hands with every other girl once, how many handshakes occur in total?"} {"instruction": "A chat. A national park is planning to reintroduce a species of endangered birds into its ecosystem. The park has allocated a budget of $500,000 for this project, which includes habitat restoration, monitoring equipment, and personnel costs. Habitat restoration costs $10,000 per acre, and the park plans to restore 20 acres of land. Monitoring equipment costs $50,000 in total, and personnel costs are $30,000 per staff member per year. Calculate how many staff members the park can hire within their budget, considering they need to maintain the program for at least three years.\n"} {"instruction": "A chat. You have a deck of 52 cards. What is the probability of drawing a heart or a queen? Show your work."} {"instruction": "A chat. A rectangular room has a length of 30 feet and a width of 20 feet. If you want to cover the entire floor with square tiles, each measuring 2 feet by 2 feet, how many tiles will you need?"} {"instruction": "A chat. A car factory produces 5 cars every hour. How many cars does it produce in a month? Provide step-by-step logic."} {"instruction": "A chat. If there are 12 red balls and 8 blue balls in a bag, what is the probability of picking two red balls without replacement?"} {"instruction": "A chat. How many miles would a person walk in a week if they took 10,000 steps per day and each step is approximately 2.5 feet long?"} {"instruction": "A chat. If a car travels at 60 miles per hour, how far will it travel in 2 hours and 30 minutes?"} {"instruction": "A chat. If it takes 3 people 9 hours to paint a house, how long would it take 6 people to paint the same house?"} {"instruction": "A chat. There are 5 boxes, each containing some balls. Box A has more balls than box B, and box C has fewer balls than box D. We also know that box E has more balls than box C but fewer balls than box B. Which box has the most balls?"} {"instruction": "A chat. If you were to drive non-stop at a constant speed of 65 mph from New York City to Los Angeles, how long would it take?"} {"instruction": "A chat. A water tank holds 200 liters of water when full. Every day, 5 liters of water evaporates from the tank. How much water will be left in the tank after two weeks? Show your steps."} {"instruction": "A chat. A train leaves Town A at 60 mph and another train leaves Town B at 80 mph. The towns are 200 miles apart. When will they meet?"} {"instruction": "A chat. There are 30 students in a class. The teacher gives each student either a red or blue sticker. If the ratio of red stickers to blue stickers is 2:3, how many students received a red sticker?"} {"instruction": "A chat. There are 12 apples in a basket. You take away 5 apples and then put back 3 apples. How many apples are left in the basket?"} {"instruction": "A chat. In a small town, there are 3 barbers. Each barber cuts the hair of every person in town except for their own. If no one else cuts the barbers' hair, who cuts each barber's hair?"} {"instruction": "A chat. A school has 800 students, and 60% of them are girls. If the school plans to increase the number of boys by 20%, how many students will there be in total after this increase?"} {"instruction": "A chat. In a room, there are 10 people. Each person knows exactly 3 other people in the room. How many handshakes occur if each person shakes hands with every person they know?"} {"instruction": "A chat. A man walks into a store and buys 6 apples for $1.50. He then sells half of his apples to another person for $0.60 per apple. How much profit did he make from selling those apples?"} {"instruction": "A chat. There are 100 students in a school. If every student knows at least one other student, what is the minimum number of friendships that can exist among these students?"} {"instruction": "A chat. If a person saves $50 every month for five years, how much will they have saved by the end of the fifth year?"} {"instruction": "A chat. If a particle moves along the curve y = x^2 with constant speed, find the rate of change of the distance between the particle and the origin with respect to time when x=3."} {"instruction": "A chat. In a village, there are 10 houses. Each house has at least one child living in it. If each house has a different number of children and the total number of children in the village is 55, how many children live in the house with the most kids?"} {"instruction": "A chat. If a car travels at an average speed of 45 miles per hour for 3 hours and then increases its speed to 60 miles per hour for another 4 hours, how far does it travel in total?"} {"instruction": "A chat. If a car emits on average 20 pounds of carbon dioxide (CO2) per gallon of gasoline burned and the car burns 15 gallons of gasoline per week, how much CO2 does the car emit in a year? Detail your steps."} {"instruction": "A chat. There are 12 black socks and 8 white socks in a drawer. If you pick two socks randomly without looking, what is the probability of getting a matching pair?"} {"instruction": "A chat. A store sells books and magazines. The price of a book is $12, and the price of a magazine is $4. If a customer buys a total of 10 items (books and magazines) and spends $80, how many books and magazines did they buy?"} {"instruction": "A chat. A store sells three types of fruit: apples, oranges, and bananas. The store sells twice as many apples as oranges, and half as many bananas as apples. If the store sells a total of 600 fruits in a day, how many of each type of fruit does it sell?"} {"instruction": "A chat. If a car rental company charges a flat fee of $20 per day plus an additional $0.15 per mile driven, how much would it cost to rent a car for 5 days and drive it for 300 miles?"} {"instruction": "A chat. In a certain city, the ratio of men to women is 3:4. If there are 28,000 more women than men in the city, how many men and women are there?"} {"instruction": "A chat. A company has 5 machines that produce widgets. Each machine produces 20% more widgets per hour than the previous one. If the first machine produces 100 widgets per hour, how many widgets do all five machines produce together in an hour?"} {"instruction": "A chat. A rectangular garden has a length of 40 feet and a width of 20 feet. What is the area of the garden in square yards?"} {"instruction": "A chat. There are 5 red balls and 3 blue balls in a box. If you randomly pick one ball, put it back, and then pick another ball, what is the probability of picking two red balls?"} {"instruction": "A chat. In a group of people, there are 10 who can speak English, 8 who can speak French, and 7 who can speak Spanish. 5 people can speak both English and French, 4 can speak both English and Spanish, and 3 can speak both French and Spanish. One person can speak all three languages. How many people are in the group?"} {"instruction": "A chat. A company has 10 employees who each work 40 hours per week at an hourly wage of $25. If the company decides to give each employee a 10% raise, what will be the new total weekly payroll cost?"} {"instruction": "A chat. An airline is evaluating the profitability of adding a new direct flight route between two major cities. The airline must consider factors such as passenger demand, ticket prices, fuel costs, aircraft maintenance, crew salaries, and airport fees. Develop a plan to analyze these factors and determine whether the new route would be profitable for the airline.\n"} {"instruction": "A chat. There are 20 people in a room. Each person shakes hands with every other person exactly once. How many handshakes occur in total?"} {"instruction": "A chat. A sports league wants to build a new stadium with a seating capacity of 60,000 spectators. They plan to sell three types of tickets: general admission, premium seats, and VIP boxes. General admission tickets account for 80% of the total capacity, premium seats make up 15%, and VIP boxes represent the remaining 5%. The prices for these tickets are $50, $100, and $500, respectively. Calculate the potential revenue generated from ticket sales during a sold-out event at the new stadium.\n"} {"instruction": "A chat. There are 12 people at a party. Some of them shake hands with each other. Afterward, you ask everyone how many hands they shook. Each person gives a different number from 0 to 11. Who didn't shake any hands?"} {"instruction": "A chat. A factory produces two types of products: X and Y. The profit for each product X sold is $10, while the profit for each product Y sold is $15. If the factory sells a total of 1000 products and makes a total profit of $12,500, how many of each product were sold?"} {"instruction": "A chat. A train travels at an average speed of 90 km/h for 3 hours and then slows down to an average speed of 60 km/h for another 2 hours. How far will it have traveled in total?"} {"instruction": "A chat. In a family of 6 people, there are 4 children and 2 parents. Each child has 1 brother and 3 sisters. How many boys and girls are in the family?"} {"instruction": "A chat. John has twice as many marbles as Jane. If Jane gives half of her marbles to Sam, how many marbles does John have now?"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 15 meters. If you want to increase the area of the garden by 50%, what should be the new dimensions of the garden if you only change the length?"} {"instruction": "A chat. A shipping company is looking to optimize its cargo capacity on international routes. They have a fleet of 10 cargo ships, each with a maximum capacity of 20,000 tons. The company wants to increase its total cargo capacity by 25% without purchasing new ships. Determine the necessary modifications and costs involved in upgrading the existing fleet to meet this goal, assuming that it costs $100 per ton for ship modifications.\n"} {"instruction": "A chat. A city is planning to build a new public transportation system consisting of buses and trains. The total budget for the project is $500 million, with each bus costing $300,000 and each train costing $2 million. The city wants to ensure that at least 60% of the population can access public transportation within a 10-minute walk. Calculate the optimal number of buses and trains required to achieve this goal, considering the city's population distribution, average walking speed, and distance between stops. Provide step-by-step reasoning.\n"} {"instruction": "A chat. Sarah is older than her brother Tom by 5 years. Their combined age is currently 45 years. How old was Sarah when Tom was born?"} {"instruction": "A chat. A company sells two products, X and Y. Product X has a profit margin of 30% and product Y has a profit margin of 40%. If the company sells 1000 units of product X at $50 per unit and 500 units of product Y at $80 per unit, what is the total profit?"} {"instruction": "A chat. A factory produces 500 units of Product A per day. Due to an increase in demand, the factory decides to increase its production rate by 20%. After the increase, how many units of Product A does the factory produce per day?"} {"instruction": "A chat. A company has a budget of $10,000 to purchase new computers for its employees. Each computer costs $800. If the company decides to also provide each employee with a monitor costing $200, how many complete sets (computer and monitor) can they purchase within their budget?"} {"instruction": "A chat. If a factory produces 1200 units of product A and 800 units of product B in one day, how many days will it take to produce 8400 units of product A and 5600 units of product B?"} {"instruction": "A chat. A national park wants to improve its visitor experience by upgrading its facilities and offering new attractions. The park currently receives 1 million visitors per year, with an average spending of $50 per person. The proposed upgrades include adding more hiking trails, building new campgrounds, and creating educational programs for children. The total cost of these improvements is estimated at $10 million. Calculate the increase in visitor numbers and average spending required to recover the investment within five years, and provide step-by-step reasoning.\n"} {"instruction": "A chat. A store sells three types of candies: type X costs $2 per piece, type Y costs $3 per piece, and type Z costs $5 per piece. If a customer buys 10 pieces of type X, 8 pieces of type Y, and 6 pieces of type Z, how much do they spend in total?"} {"instruction": "A chat. If a car travels at an average speed of 50 miles per hour for 6 hours, then stops for 2 hours, and continues traveling at 40 miles per hour for another 4 hours, what is the total distance covered?"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour. It takes the train 2 hours to travel between two cities. If the train had traveled at an average speed of 80 miles per hour, how long would it take to travel between the same two cities?"} {"instruction": "A chat. In a factory, there are 5 machines that produce widgets. Each machine produces 8 widgets per hour. How many widgets will be produced by all the machines in 10 hours?"} {"instruction": "A chat. A man earns $100 per day. How much money does he earn in a non-leap year? Show your work."} {"instruction": "A chat. A city's water treatment plant needs to upgrade its filtration system to handle increased demand from population growth. The current system can process 10 million gallons of water per day, but the projected demand is 15 million gallons per day within five years. Determine the percentage increase in processing capacity needed and calculate the cost of upgrading the system, considering that each additional million gallons of daily capacity will require an investment of $500,000.\n"} {"instruction": "A chat. An office building consumes 150 kWh of electricity per day. How much electricity does it consume in a non-leap year? Reason step-by-step."} {"instruction": "A chat. A farmer has 10 cows and 6 chickens. Each cow gives 5 liters of milk per day, and each chicken lays 2 eggs per day. How much milk and how many eggs does the farmer get daily?"} {"instruction": "A chat. ((3^2 * 4) / 2 - 5)^2 ="} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes the train 2 hours to travel from Town A to Town B. How far apart are Town A and Town B?"} {"instruction": "A chat. Solve: ((3^2 - 4) * 5 + 6) / 2 ="} {"instruction": "A chat. In a classroom, there are 4 times as many girls as boys. If there are 20 students in total, how many boys are in the class?"} {"instruction": "A chat. A box contains 8 defective items and 12 non-defective items. If you randomly select 3 items from the box, what is the probability that at least one of them will be defective?"} {"instruction": "A chat. A bakery wants to optimize its production process by investing in new equipment. Currently, they produce 500 loaves of bread per day using two ovens that operate for 8 hours each. The new equipment can double the output while reducing the operating time to 6 hours per oven. Calculate the number of loaves the bakery can produce daily with the new equipment and estimate the potential increase in revenue, assuming each loaf sells for $3. Provide step-by-step reasoning.\n"} {"instruction": "A chat. If you read at a speed of 250 words per minute, how long would it take you to read a book with 100,000 words?"} {"instruction": "A chat. In a class of 25 students, 12 students play soccer, 8 students play basketball, and 5 students play both soccer and basketball. How many students do not play either sport?"} {"instruction": "A chat. Calculate the Fourier series representation of a given periodic function. Explain your reasoning.\n"} {"instruction": "A chat. A store offers a discount on a product by reducing its price by 15%. If the original price was $120, what is the new discounted price?"} {"instruction": "A chat. If a standard deck of playing cards has 52 cards, how many distinct five-card hands can be dealt from it?"} {"instruction": "A chat. If there are 5 red balls, 7 blue balls, and 8 green balls in a bag, what is the probability of picking a red ball followed by a blue ball without replacement?"} {"instruction": "A chat. If a spider spins a web at a rate of 1 meter per hour and it works non-stop, how long will it take to spin a web that is 100 meters long? Include your logic."} {"instruction": "A chat. If a car factory produces 10 cars every hour, how many cars will it produce in a week? Show your reasoning."} {"instruction": "A chat. Calculate the surface area of a cylinder with height 10 cm and diameter 4 cm."} {"instruction": "A chat. A company sells 1000 units of a product every month at a price of $50 per unit. The fixed costs for running the business are $20,000 per month, and the variable costs per unit are $30. What is the monthly profit?"} {"instruction": "A chat. A box contains 12 balls, some black and some white. If you take 2 balls at random without replacement, the probability of getting 2 black balls is 1/6. How many black balls are in the box?"} {"instruction": "A chat. There are three light switches outside a closed room. One of them controls the light inside the room. You cannot see the light from outside the room, and you cannot open the door until you have figured out which switch controls the light. You can only enter the room once. How do you determine which switch controls the light?"} {"instruction": "A chat. A car travels at an average speed of 45 miles per hour for 3 hours and 30 minutes. How far does the car travel?"} {"instruction": "A chat. In a class of 50 students, 22 play football, 26 play basketball, and 14 play both games. How many students don't play either game? Include your logic."} {"instruction": "A chat. A man gave his son $100 and told him he could spend it on anything he wanted. The son decided to buy 100 animals for $100, with the condition that he must get at least one of each type of animal. He could only choose from cows, pigs, and sheep. Cows cost $10 each, pigs cost $3 each, and sheep cost $0.50 each. How many of each animal did the son buy?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 6 feet and a height of 8 feet. What is its volume in gallons? (1 cubic foot \u2248 7.48 gallons)"} {"instruction": "A chat. If a person saves $200 every month for 5 years, how much money will they have saved at the end of this period, assuming no interest is earned?"} {"instruction": "A chat. If a train travels at an average speed of 80 kilometers per hour for 3 hours and 45 minutes, how far does it travel in miles?"} {"instruction": "A chat. Every day, a tree drops 7 leaves. How many leaves would it drop in a month of February in a non-leap year? Include your logic."} {"instruction": "A chat. There are 10 apples in a basket. You take away 6 apples. How many apples do you have now?"} {"instruction": "A chat. If a die is rolled three times, what is the probability of getting a sum of 11?"} {"instruction": "A chat. A bag contains 3 red balls, 5 blue balls, and 7 green balls. What is the probability of drawing a red ball followed by a blue ball without replacement?"} {"instruction": "A chat. A farmer has a rectangular field that measures 40 meters by 60 meters. He wants to divide the field into square plots, each with an equal area and whole number side lengths. What is the largest possible size for the side length of each square plot?"} {"instruction": "A chat. A restaurant serves 20 tables per hour during its peak time. How many tables does it serve in a week (considering peak time only)? Explain your thought process."} {"instruction": "A chat. A jar contains 4 red marbles, 5 blue marbles, and 6 green marbles. If you randomly pick two marbles without replacement, what is the probability that they are both red?"} {"instruction": "A chat. A committee of 5 people is to be formed from a group of 9 men and 6 women. In how many ways can the committee be formed if it must include at least 3 women?"} {"instruction": "A chat. In a class of 30 students, 60% have brown eyes, and the rest have blue eyes. If 5 more students with blue eyes join the class, what percentage of the class will have blue eyes?"} {"instruction": "A chat. A rectangular garden has a length of 10 meters and a width of 6 meters. If you want to increase the area of the garden by 50%, what should be the new dimensions of the garden? Assume that only the length is increased."} {"instruction": "A chat. If you drove non-stop at 60 miles per hour, how long would it take to drive the distance equivalent to the Moon's average distance from Earth?"} {"instruction": "A chat. A hospital is planning to build a new wing dedicated to cancer treatment. The wing will include 200 beds, outpatient facilities, and state-of-the-art diagnostic equipment. Estimate the construction cost based on industry benchmarks, calculate the annual operating expenses, and determine the break-even point in terms of patient volume and revenue per patient. Describe your assumptions and provide step-by-step calculations.\n"} {"instruction": "A chat. In a room full of people, everyone shakes hands exactly once with every other person. If there were a total of 66 handshakes, how many people were in the room?"} {"instruction": "A chat. A bag contains 4 blue marbles, 3 green marbles, and 5 red marbles. If you draw two marbles at random without replacement, what is the probability that both marbles will be red?"} {"instruction": "A chat. A train travels at a constant speed of 80 kilometers per hour. How many meters will it cover in 45 seconds?"} {"instruction": "A chat. In a bag of marbles, there are red, blue, green, and yellow marbles. If you randomly pick one marble from the bag, the probability of getting a red marble is 1/4, a blue marble is 1/3, and a green marble is 1/6. What is the probability of picking a yellow marble?"} {"instruction": "A chat. A factory produces 1000 units of product A per day at a cost of $2 per unit. The factory wants to switch production to product B, which costs $3 per unit to produce. How much more will it cost the factory to produce 1000 units of product B compared to producing 1000 units of product A?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour for 2 hours, then increases its speed to 80 miles per hour for another 2 hours. How far has the train traveled in total?"} {"instruction": "A chat. In a room, there are 5 cats. Each cat catches 4 mice per hour. However, for every 3 mice caught by the cats, one escapes. How many mice will be caught after 2 hours?"} {"instruction": "A chat. If you invest $10,000 at an annual interest rate of 4%, compounded quarterly, how much will your investment be worth after 5 years?"} {"instruction": "A chat. In a group of 30 people, there are 20 who speak English and 15 who speak French. Among them, at least how many people can speak both languages? Provide your step-by-step logic."} {"instruction": "A chat. A box contains red balls and yellow balls. The ratio of red balls to yellow balls is 3:2. If there are 15 more red balls than yellow balls, how many yellow balls are there?"} {"instruction": "A chat. In a class of 30 students, 18 students play soccer and 12 students play basketball. How many students play both soccer and basketball if there are 5 students who don't play either sport?"} {"instruction": "A chat. There are 5 boxes, each containing a different number of balls. The first box contains 10 balls more than the second box. The third box has half as many balls as the second box. The fourth box has 15 balls fewer than the third box. Finally, the fifth box has twice as many balls as the fourth box. If the total number of balls is 200, how many balls does the third box contain?"} {"instruction": "A chat. Evaluate the double integral \u222cR xy dA, where R is the region bounded by y=x, y=2x, x=1, and x=2."} {"instruction": "A chat. In a village, there are 20 houses. Each house has at least one pet - either a cat or a dog. If there are a total of 30 pets in the village and no house has both cats and dogs, how many houses have cats?"} {"instruction": "A chat. In a class of 40 students, 12 students play basketball, 16 students play soccer, and 8 students play both basketball and soccer. How many students in the class do not play either basketball or soccer?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed. The distance between the cities is 200 miles. It takes the train 2 hours to travel halfway between the cities. How long will it take for the train to reach City B?"} {"instruction": "A chat. A jar contains red, blue, and green marbles. There are twice as many red marbles as blue marbles, and three times as many green marbles as red marbles. If there are a total of 72 marbles in the jar, how many blue marbles are there?"} {"instruction": "A chat. There are 5 red balls and 7 blue balls in a bag. You draw one ball out of the bag without looking. What color is the ball you drew?"} {"instruction": "A chat. In a city, there are 500 buildings. Each building has an average of 10 floors, and each floor has an average of 4 apartments. How many apartments are there in the city? Explain your thought process."} {"instruction": "A chat. A store sells apples in bags containing 6 apples each. If you buy 3 bags, they give you one bag for free. How many apples do you get if you buy 12 bags?"} {"instruction": "A chat. Solve: 4(2x - 3) + 7 = 15"} {"instruction": "A chat. If a car travels at an average speed of 50 miles per hour for 3.5 hours, how far will it have traveled?"} {"instruction": "A chat. If you travel at a constant speed of 65 miles per hour for 4.5 hours, how far will you have traveled?"} {"instruction": "A chat. If every person has 2 parents, how many ancestors does a person have in three generations? Include your logic."} {"instruction": "A chat. If a person walks at an average speed of 3 miles per hour for 2 hours and 30 minutes, how far do they travel?"} {"instruction": "A chat. A national park is considering implementing a reservation system to manage visitor numbers and protect the environment. The park has a carrying capacity of 5,000 visitors per day, but they want to limit visitation to 80% of this capacity to prevent overcrowding. Calculate the number of reservations available per day and develop a pricing strategy that encourages off-peak visitation while generating sufficient revenue to cover park operations. Consider factors such as seasonal demand, visitor demographics, and the impact of pricing on visitor behavior.\n"} {"instruction": "A chat. There are three friends - Alice, Bob, and Carol. Alice is taller than Bob but shorter than Carol. Bob is heavier than Carol. Who is the tallest and heaviest among them?"} {"instruction": "A chat. A group of friends goes out to dinner. They decide to split the bill evenly among them. If the total bill was $180 and they paid a 20% tip on top of that, how many friends were in the group if each person contributed $48?"} {"instruction": "A chat. There are seven books on a shelf. For each book, there are three possible colors it could be: red, blue, or green. How many different ways could the books be arranged on the shelf? Explain your thought process."} {"instruction": "A chat. If a bird flies at a speed of 20 mph and a fish swims at a speed of 5 mph, how fast does a snail crawl?"} {"instruction": "A chat. There are 120 students in a school choir. Among them, 75% are girls, and the rest are boys. During a concert, 20% of the girls and 25% of the boys were absent. How many students attended the concert?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed of 60 mph. At the same time, another train leaves City B heading towards City A at a constant speed of 90 mph. If the distance between the two cities is 450 miles, how long will it take for the trains to meet?"} {"instruction": "A chat. A group of people were asked if they prefer cats or dogs as pets. Out of those who answered, 40% said they prefer cats, while 60% said they prefer dogs. If 100 more people prefer dogs than cats, how many people were surveyed in total?"} {"instruction": "A chat. In a small village, there are 20 houses. Every house has at least one pet. If each house with a dog also has a cat and every third house has only a parrot, how many houses have dogs?"} {"instruction": "A chat. A bee lands on a flower every 10 seconds and stays for 5 seconds before flying off. How many bees land on the flower in one minute? Include your logic."} {"instruction": "A chat. There are 4 boxes in a room. Box A contains 3 red balls and 2 green balls, Box B contains 5 red balls and 1 green ball, Box C contains 6 red balls and 4 green balls, and Box D contains 2 red balls and 8 green balls. If you randomly pick one ball from each box, what is the probability of getting at least 3 red balls?"} {"instruction": "A chat. A city is planning to build a new public park that will include various amenities such as playgrounds, walking trails, and picnic areas. The total area of the park is 50 acres, with 30% dedicated to playgrounds, 40% to walking trails, and the remaining 30% for picnic areas. Calculate the total cost of constructing the park, considering the following costs: $200,000 per acre for playgrounds, $150,000 per acre for walking trails, and $100,000 per acre for picnic areas. Additionally, estimate the annual maintenance cost for each amenity type, assuming it's 10% of the initial construction cost.\n"} {"instruction": "A chat. Evaluate the integral of the function h(x) = 3x^2 - 4x + 1 from x = 0 to x = 5, explaining each step.\n"} {"instruction": "A chat. In a group of 50 people, 15 have brown eyes, 10 have blue eyes, and the rest have green eyes. What proportion of the group has green eyes? Show your work."} {"instruction": "A chat. A restaurant serves 120 customers on average per day. Each customer spends an average of $25 on their meal. The restaurant operates 26 days per month. What is the restaurant's average monthly revenue?"} {"instruction": "A chat. A train leaves from Station A at 9 AM and travels at a speed of 60 km/h towards Station B. Another train leaves from Station B at 11 AM and travels at a speed of 90 km/h towards Station A. The distance between the two stations is 450 km. At what time will the two trains meet?"} {"instruction": "A chat. A bag contains 4 red marbles, 6 blue marbles, and 10 green marbles. You draw 3 marbles at random without replacement. What is the probability that you draw exactly 2 red marbles and 1 blue marble?"} {"instruction": "A chat. You have 100 coins consisting of nickels, dimes, and quarters. If the total value of these coins is $14.75, how many of each coin do you have if you have more dimes than nickels and more quarters than dimes? Provide step-by-step logic."} {"instruction": "A chat. A factory produces 250 widgets every hour for 16 hours a day. If the factory operates 6 days a week, how many widgets does it produce in a month?"} {"instruction": "A chat. A train leaves from Town A towards Town B at a speed of 60 km/h. At the same time, another train leaves from Town B towards Town A at a speed of 90 km/h. The distance between the two towns is 300 km. When do the trains meet?"} {"instruction": "A chat. There are 50 red balls and 30 blue balls in a box. If you randomly pick one ball without looking, what is the probability of picking a green ball?"} {"instruction": "A chat. If a car rental company charges a flat fee of $25 per day plus an additional 15 cents per mile driven, how many miles can a customer drive in one day if they want to spend no more than $100?"} {"instruction": "A chat. There are 50 horses and 50 stalls. Every stall has a unique name. In one move, you can change the horse-stall assignment of any number of horses (including zero). What is the minimum number of moves required so that every horse is in a stall with a different name than initially assigned? Detail your steps."} {"instruction": "A chat. A store sells three types of fruit: apples, oranges, and bananas. The ratio of apples to oranges is 3:2, and the ratio of oranges to bananas is 5:4. If there are 60 oranges in stock, how many apples and bananas are there combined?"} {"instruction": "A chat. A group of people is divided into two teams for a game. Team A has one more person than team B. If 4 people from team A switch to team B, then team B will have twice as many members as team A. How many people are in the group?"} {"instruction": "A chat. In a certain country, the income tax rate is 15% for incomes up to $50,000, and 25% for any amount above $50,000. If someone earns $75,000 annually, how much income tax will they pay?"} {"instruction": "A chat. Show that the sum of the angles in any triangle is always 180 degrees."} {"instruction": "A chat. A zoo wants to build a new exhibit for giraffes, elephants, and zebras. The total area available for the exhibit is 20 acres. Giraffes need at least 3 acres per animal, elephants need 2 acres per animal, and zebras need 1 acre per animal. Calculate the maximum number of animals the exhibit can accommodate while maintaining these space requirements. Provide step-by-step reasoning and possible configurations of animals.\n"} {"instruction": "A chat. A snail climbs up a wall during the day and slides back down at night. If the wall is 30 feet high, the snail climbs 5 feet each day and slides down 4 feet each night, how many days will it take for the snail to reach the top of the wall? Show your steps."} {"instruction": "A chat. There are 4 red balls and 6 blue balls in a bag. If you randomly pick one ball from the bag, what is the probability that it will be a red ball?"} {"instruction": "A chat. There are 5 apples in a basket. You take away 3 apples and then add 2 more apples to the basket. How many apples do you have?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes 3 hours for the train to travel between two cities. How far apart are the cities?"} {"instruction": "A chat. On Monday, John read 35 pages of a book. Each day after that, he read 10 more pages than he did the previous day. How many pages did he read in total from Monday to Friday? Show your steps."} {"instruction": "A chat. A factory can make 10 widgets in an hour. How many factories are needed to make 1000 widgets in one day? Explain your logic."} {"instruction": "A chat. A factory produces 2000 widgets per day. The factory operates for 5 days a week and takes 2 weeks off each year for maintenance. How many widgets does the factory produce in one year?"} {"instruction": "A chat. A store sells books at $12 each and CDs at $8 each. If a customer buys a total of 15 items for a total cost of $156, how many books and CDs did they buy?"} {"instruction": "A chat. Calculate the area of a circle with a diameter of 14 cm."} {"instruction": "A chat. In a class of 30 students, 18 students play basketball, 20 students play soccer, and 8 students play both sports. How many students don't play either sport? Explain step-by-step."} {"instruction": "A chat. In a town, there are 100 houses. Each house has either a red or blue door. If every third house has a red door and the rest have blue doors, how many red doors are in the town?"} {"instruction": "A chat. A box contains red balls and blue balls. If you take out two balls at random, the probability of getting two red balls is 1/5. If you add three more red balls into the box, the probability of getting two red balls becomes 1/2. How many red balls and blue balls were originally in the box?"} {"instruction": "A chat. A company has 500 employees. The CEO decides to give everyone a bonus, but instead of giving each employee an equal amount, she decides to give each employee $100 more than the previous employee. If the first employee receives $200, what is the total amount given in bonuses?"} {"instruction": "A chat. If a rectangular room has an area of 300 square feet and a width of 15 feet, what is the length of the room?"} {"instruction": "A chat. A logistics company wants to optimize its delivery routes by using different types of vehicles based on package size and destination distance. They have three vehicle options: small vans, medium trucks, and large trucks. Small vans can carry up to 50 packages, medium trucks can carry up to 200 packages, and large trucks can carry up to 500 packages. Calculate the number of each type of vehicle needed to deliver 10,000 packages with an average weight of 20 pounds per package, considering the following constraints: small vans can only travel up to 100 miles, medium trucks up to 300 miles, and large trucks up to 600 miles. Assume that 40% of the packages need to be delivered within 100 miles, 35% between 100-300 miles, and 25% beyond 300 miles.\n"} {"instruction": "A chat. A farmer has 5 acres of land and wants to plant apple trees in rows. Each row will have 10 trees, and there will be 15 feet between each tree within a row and 20 feet between each row. How many trees can the farmer plant if each acre is 43,560 square feet?"} {"instruction": "A chat. A zoo is planning to expand its animal exhibits and needs to determine how much additional land to purchase. The current zoo occupies 50 acres and houses 300 animals from 50 different species. Each species requires an average of 1 acre for their habitat. The zoo wants to add 20 new species, with an average of 10 animals per species. Calculate the amount of additional land required, considering that some species may need more space than others due to their size or environmental needs.\n"} {"instruction": "A chat. A factory produces 250 widgets every day. How many widgets will the factory produce in a year, assuming it operates 365 days a year?"} {"instruction": "A chat. If a car burns 1 gallon of gas for every 20 miles it drives, how much gas will it burn driving 240 miles? Show your work."} {"instruction": "A chat. In a bag, there are 4 red balls, 5 blue balls, and 3 green balls. What is the probability of drawing a red ball or a blue ball? Show your work."} {"instruction": "A chat. A factory produces 500 units of product A per day. If each unit sells for $25, how much revenue will be generated in one week (7 days)? Explain your calculations.\n"} {"instruction": "A chat. A car travels 120 miles in 3 hours. If the car continues at the same speed for another 2 hours, how far will it travel in total?"} {"instruction": "A chat. In a class of 40 students, 18 are boys and the rest are girls. What percentage of the class is girls?"} {"instruction": "A chat. A group of people consists of engineers and doctors. All engineers have a red hat, while all doctors have a blue hat. There are twice as many engineers as there are doctors. If there are 24 hats in total, how many doctors are in the group?"} {"instruction": "A chat. In a sequence of numbers, each number after the first two is the sum of the previous two numbers. If the first two numbers are 1 and 3, what is the seventh number in the sequence?"} {"instruction": "A chat. In a town, there are 20 houses on one side of the street and 15 houses on the other side. Each house has 4 people living in it. If half of the people from each house on one side visit a house on the other side, how many people will be visiting the other side?"} {"instruction": "A chat. A company has 500 employees, and 60% of them have children. Of those who have children, 40% have more than 2 children. How many employees have more than 2 children? Explain your thought process."} {"instruction": "A chat. A rectangular garden has a length of 30 meters and a width of 20 meters. The owner decides to increase the length by 50% and the width by 25%. What is the new area of the garden?"} {"instruction": "A chat. A store sells 4 types of items - X, Y, Z, and W. Each item has a different selling price: $12 for Item X, $15 for Item Y, $20 for Item Z, and $25 for Item W. In a day, the store sells 30 units of Item X, 40 units of Item Y, 50 units of Item Z, and 60 units of Item W. What is the total revenue generated in that day?"} {"instruction": "A chat. There are 5 apples and 7 oranges in a basket. If you take out 3 fruits at random without looking, what is the minimum number of oranges you could have?"} {"instruction": "A chat. A shipping company wants to optimize its fleet of cargo ships to minimize transportation costs and reduce delivery times. The company operates 50 ships with varying capacities and speeds, servicing 100 ports worldwide. Each port has specific requirements regarding the types of goods that can be shipped, customs regulations, and docking fees. Develop a plan to allocate ships to different routes and schedules, taking into account factors such as demand, operating costs, and transit times. Describe your reasoning and any additional variables that may need to be considered.\n"} {"instruction": "A chat. A factory produces 500 units of product A every day. Each unit costs $15 to produce. The factory also incurs fixed costs of $2,000 per day for rent, utilities, and salaries. What is the total cost of producing 7000 units of product A?"} {"instruction": "A chat. A man has three daughters. The product of their ages is 36, and the sum of their ages is equal to the number on the house across the street. Given that all his daughters have different ages, how old are they?"} {"instruction": "A chat. In a town, there are 3 doctors. Each doctor has 4 patients who visit them every day. If each patient visits the doctor for 15 minutes and the doctors work simultaneously, how long does it take for all the patients to be seen by their respective doctors?"} {"instruction": "A chat. A company has a monthly budget of $10,000 for employee salaries. If there are 20 employees and each receives an equal salary, how much does each employee earn per month before taxes?"} {"instruction": "A chat. If a bacteria colony doubles its population every hour, how many bacteria will there be after 12 hours if it starts with 10 bacteria?"} {"instruction": "A chat. Calculate the value of the expression: 8 - 2(3 + 7)^2 \u00f7 4"} {"instruction": "A chat. If a car travels at a constant speed of 60 mph for 3 hours, how far will it travel in kilometers? (1 mile = 1.60934 km)"} {"instruction": "A chat. A factory produces 450 units of product per day. Due to an increase in demand, they decide to increase production by 20%. How many units will they produce after the increase?"} {"instruction": "A chat. A garden has 5 rows of tomato plants. Each row has 6 plants. Each plant produces 10 tomatoes. How many tomatoes does the garden produce in total? Show your work."} {"instruction": "A chat. In a village, there are 50 houses. Each house has a dog that barks only when it sees a stranger. One day, a stranger enters the village and walks past every house. How many times did the dogs bark?"} {"instruction": "A chat. If you roll two fair six-sided dice, what is the probability that their sum is equal to 8?"} {"instruction": "A chat. There are 5 cats and 4 dogs in a room. All but 8 of them are sleeping. How many animals are awake?"} {"instruction": "A chat. In a certain country, every citizen must tell the truth on Monday, Tuesday, and Wednesday. On Thursday, Friday, and Saturday, they must lie. On Sunday, they can choose whether to tell the truth or lie. If someone says \"I will lie tomorrow,\" on which day did they say it?"} {"instruction": "A chat. Determine the optimal strategy for a two-player zero-sum game with a given payoff matrix."} {"instruction": "A chat. If there are 7 billion people on Earth and each person has an average of 5 liters of blood in their body, how many Olympic-sized swimming pools could be filled with all that blood?"} {"instruction": "A chat. A company has a revenue of $150,000 per month and spends $100,000 on expenses. How much profit does the company make in a year?"} {"instruction": "A chat. There are 12 people in a room. If each person shakes hands with every other person exactly once, how many handshakes will there be in total?"} {"instruction": "A chat. In a family, there are 5 children. The youngest child has as many siblings as the oldest child. How many boys and girls are in the family?"} {"instruction": "A chat. A box contains 5 apples, 7 oranges, and 9 bananas. You randomly pick two fruits at once without looking. What is the probability that you picked an apple and an orange?"} {"instruction": "A chat. A city is planning to construct a new sports complex that includes a stadium, an indoor arena, and multiple outdoor fields. The construction budget is $150 million, with 40% allocated for the stadium, 30% for the indoor arena, and the remaining 30% for the outdoor fields. Calculate the individual budgets for each facility and estimate the total seating capacity if the average cost per seat is $500 for the stadium, $400 for the indoor arena, and $200 for the outdoor fields. Provide step-by-step reasoning.\n"} {"instruction": "A chat. Solve the system of equations: y = 2x + 3 and y = -x + 4."} {"instruction": "A chat. A restaurant offers a pizza with 3 sizes and 10 different toppings. Customers can choose up to 3 toppings for their pizza. How many different pizza combinations are possible?"} {"instruction": "A chat. A bakery sells 3 types of cookies: chocolate chip, oatmeal raisin, and sugar. For every 4 chocolate chip cookies sold, 2 oatmeal raisin cookies are sold, and for every 2 oatmeal raisin cookies sold, 1 sugar cookie is sold. If the bakery sells a total of 28 cookies in one day, how many of each type were sold?"} {"instruction": "A chat. A farmer wants to plant three types of crops on his land. He needs to allocate 60% of the land for crop A, 25% for crop B, and 15% for crop C. If he has 200 acres of land, how many acres should be allocated for each type of crop?"} {"instruction": "A chat. A car rental company charges $50 per day for renting a car plus an additional fee of $15 for insurance. If a customer rents a car for x days and pays a total of $315, how many days did they rent the car?"} {"instruction": "A chat. There are 120 people in a room. 60% of them wear glasses, and 40% of those wearing glasses also wear a hat. What percentage of people in the room wear both glasses and a hat?"} {"instruction": "A chat. If there are 12 months in a year, how many seconds are there in a century? Explain your reasoning."} {"instruction": "A chat. In a class of 30 students, 18 are girls and 12 are boys. If a teacher randomly selects one student from the class, what is the probability that the selected student is a girl?"} {"instruction": "A chat. In a small town, every person knows everyone else. If you randomly select two people from the town, they will either be friends or enemies. If two friends meet, they shake hands. If two enemies meet, they do not shake hands. At a party in the town, there were 28 handshakes. How many people attended the party?"} {"instruction": "A chat. In how many ways can you choose a committee of 4 people from a group of 12 people, if two specific individuals cannot be on the committee together?"} {"instruction": "A chat. If you invest $5,000 at an annual interest rate of 4% compounded quarterly, how much will your investment be worth after 5 years?"} {"instruction": "A chat. Alice, Bob, and Carol are standing in a line. Alice is standing behind Bob, and Carol is standing in front of Bob. Who is standing in the middle?"} {"instruction": "A chat. You have a basket containing 10 apples and 20 oranges. If you randomly pick one fruit from the basket, what is the probability that you will pick an apple, and then after putting it back, you will pick an orange?"} {"instruction": "A chat. If a train travels at an average speed of 50 km/h and needs to cover a distance of 350 km, but it makes a 20-minute stop at a station halfway through its journey, how long will the entire trip take?"} {"instruction": "A chat. Simplify the expression (2x^2y^3)^2 * (3xy^2)^-1."} {"instruction": "A chat. There are 100 people at a party. 60% of them like chocolate ice cream, while 75% like vanilla ice cream. What is the minimum percentage of people who like both chocolate and vanilla ice cream?"} {"instruction": "A chat. A group of people are planning a road trip. The car they will use has a fuel efficiency of 25 miles per gallon, and the round-trip distance is 1,200 miles. If gas costs $3.50 per gallon, how much will they spend on gas for the entire trip?"} {"instruction": "A chat. There are 4 apples and 3 oranges in a basket. If you randomly pick one fruit from the basket, what is the probability that it's an apple?"} {"instruction": "A chat. Show that the set of all continuous functions on the interval [0,1] forms a vector space."} {"instruction": "A chat. A company has 8 employees, and each employee works 7 hours a day. If they are paid $15 per hour, how much does the company spend on salaries in a 5-day workweek?"} {"instruction": "A chat. There are 5 houses in a row, each painted with a different color. The green house is immediately to the left of the white house. The owner of the blue house drinks tea. The person living in the red house has a dog. The owner of the yellow house smokes cigars. Who owns the fish?"} {"instruction": "A chat. In a family of six people, each person has a different number of books. The total number of books owned by the family is 60. If the youngest child owns the least number of books and the oldest child owns the most, who owns the second-highest number of books?"} {"instruction": "A chat. There are 12 apples on a table. You take away 4 apples, but then you put back 2 apples. How many apples do you need to add to make it twice as many apples as before you took any away?"} {"instruction": "A chat. A group of people wants to rent bicycles for a day. The rental shop charges $10 per bicycle plus a one-time fee of $25 for insurance. If the total cost for renting the bicycles is $185, how many bicycles did the group rent?"} {"instruction": "A chat. An apple costs 40 cents, a banana costs 60 cents and a grapefruit costs 80 cents. How much would a pear cost if the price is determined by the number of vowels in its name? Provide step-by-step logic."} {"instruction": "A chat. In a room, there are four people. Each person can either tell the truth or lie. Person A says that B is lying when B says C is lying. Person D says that A is telling the truth. If we know that at least one of them is telling the truth and at least one of them is lying, who is definitely lying?"} {"instruction": "A chat. A company has a net income of $200,000 and total assets worth $2,000,000. What is the return on assets (ROA) for this company?"} {"instruction": "A chat. A bookstore sells hardcover books for $25 each and paperback books for $15 each. If the store sold a total of 100 books and made $2,000 in sales, how many hardcover and paperback books were sold?"} {"instruction": "A chat. If a car travels at an average speed of 60 miles per hour for 3 hours and 45 minutes, how far does it travel?"} {"instruction": "A chat. If today is Monday, what day of the week will it be 1000 days from now?"} {"instruction": "A chat. There are 7 billion people in the world. If each person has an average of 2 eyes, how many eyes are there in total? Explain your logic."} {"instruction": "A chat. If a car factory produces 15 cars per hour, how many cars will it produce in 45 days if the factory operates for 10 hours each day?"} {"instruction": "A chat. A group of friends decides to split the cost of a $120 gift evenly among themselves. If three more people join the group, the cost per person would decrease by $4. How many people were originally in the group?"} {"instruction": "A chat. A square garden measures 15 feet on each side. Mary wants to build a circular fountain in the center of the garden that will cover 25% of the garden's area. What is the radius of the fountain?"} {"instruction": "A chat. If I flip a coin twice, what are the chances I get heads both times? Show your reasoning."} {"instruction": "A chat. If a factory produces 500 units of product A and 300 units of product B per day, how many days will it take to produce 12,000 units of product A and 7,200 units of product B?"} {"instruction": "A chat. How many ways can you arrange the letters in the word \"COMPUTER\" such that no two vowels are adjacent?"} {"instruction": "A chat. A hotel chain plans to open a new location with 150 rooms, including standard rooms, suites, and accessible rooms. The hotel wants to allocate 70% of the rooms as standard rooms, 20% as suites, and 10% as accessible rooms. Calculate the number of each type of room in the new hotel and estimate the total construction cost if it costs $100,000 to build a standard room, $150,000 for a suite, and $120,000 for an accessible room. Provide step-by-step reasoning for your calculations.\n"} {"instruction": "A chat. In a group of people, 75% have brown eyes, and 25% have blue eyes. If there are 48 people with blue eyes, how many people are in the group?"} {"instruction": "A chat. If a doctor gives you three pills and tells you to take one pill every half hour, how long will it take before all the pills have been taken?"} {"instruction": "A chat. Three friends want to share 8 pizzas equally. How much pizza does each friend get? Explain your thought process."} {"instruction": "A chat. Jane has 3 siblings, and she is older than 2 of them. Is Jane the oldest sibling? Explain your thought process."} {"instruction": "A chat. There are 7 billion people on earth. Each person has two parents. Does this mean there were 14 billion people on earth before the current generation? Explain your thought process."} {"instruction": "A chat. How many times does a car tire rotate in a mile?"} {"instruction": "A chat. A train leaves Station A heading towards Station B, which is 100 miles away. At the same time, another train leaves Station B heading towards Station A. If Train A travels at a speed of 40 mph and Train B travels at a speed of 60 mph, how far apart are the two trains after one hour?"} {"instruction": "A chat. If there are 25 students in a class and each student reads an average of 3 books per month, how many books will the entire class read in a year?"} {"instruction": "A chat. A rectangular room has a length that is 3 meters more than its width. If the area of the room is 70 square meters, what are the dimensions of the room?"} {"instruction": "A chat. A rectangular garden has a length of 30 feet and a width of 20 feet. If you want to build a fence around the garden with an additional 5 feet on each side, what will be the perimeter of the fenced area?"} {"instruction": "A chat. If a person saves 5% of their monthly income for the first six months and then increases their savings to 10% for the next six months, what percentage of their annual income have they saved?"} {"instruction": "A chat. Using Green's theorem, evaluate the line integral \u222eC (xy dx + x^2 dy), where C is the boundary of the triangle with vertices (0,0), (1,0), and (0,1)."} {"instruction": "A chat. In a town, 60% of the population are adults. Out of these adults, 30% have at least one child. If there are 12,000 people in the town, how many adults do not have any children?"} {"instruction": "A chat. A company has recently started selling a new product and found that their sales have been increasing by 10% each month. If they sold 100 units in the first month, how many units will they sell in the sixth month?"} {"instruction": "A chat. John has twice as many marbles as Jack. If Jack has 15 marbles, how many marbles do they have together? Provide step-by-step logic."} {"instruction": "A chat. Mike reads 2 books every month. How many books will he read in 5 years? Demonstrate your reasoning."} {"instruction": "A chat. A train leaves a station at 2 PM and travels east at a constant speed of 60 mph. Another train leaves the same station at 3 PM, traveling west at a constant speed of 80 mph. At what time will they be 210 miles apart?"} {"instruction": "A chat. A bus leaves from station A to station B every 15 minutes. At the same time, another bus leaves from station B to station A every 20 minutes. The distance between the stations is 40 miles. If the buses travel at the same speed, how long does it take for them to meet after they start their journey?"} {"instruction": "A chat. There are 100 seats in a movie theater. Every third seat is reserved for VIPs, every fourth seat is reserved for couples, and every fifth seat is reserved for families. How many seats are left unreserved?"} {"instruction": "A chat. If a triangle has sides with lengths of 5 cm, 6 cm, and 7 cm, what is its semi-perimeter and area using Heron's formula?"} {"instruction": "A chat. How many miles does light travel in one Earth year?"} {"instruction": "A chat. Calculate the derivative of f(x) = 4x^3 - 6x^2 + 2x - 9"} {"instruction": "A chat. A box contains 3 red balls and 2 green balls. Two balls are drawn randomly without replacement. What is the probability that both balls are of the same color?"} {"instruction": "A chat. A company produces two types of widgets, A and B. The profit from selling one unit of widget A is $15, while the profit from selling one unit of widget B is $25. In one month, the company sells a total of 300 widgets and makes a total profit of $6,500. How many units of each type of widget were sold?"} {"instruction": "A chat. A factory produces 2000 widgets per day. Due to a defect in the manufacturing process, 2% of the widgets produced are defective and cannot be sold. How many non-defective widgets does the factory produce in a month with 30 days?"} {"instruction": "A chat. There are 5 apples and 7 oranges in a basket. If you randomly pick out 3 fruits from the basket without looking, what is the probability of picking 2 apples and 1 orange?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. If it takes 2 hours to reach its destination, how far is the destination from the starting point?"} {"instruction": "A chat. In a game, you have to choose between two doors. Behind one door is a prize, and behind the other door is nothing. After you make your choice, the host, who knows what's behind each door, opens one of the remaining doors that has nothing behind it. You are then given the option to switch your choice or stick with your original choice. Should you switch, stick, or does it not matter?"} {"instruction": "A chat. In an election with three candidates, candidate A received 45% of the votes, candidate B received 35% of the votes, and candidate C received the remaining votes. If there were a total of 12,000 votes cast, how many more votes did candidate A receive than candidate B?"} {"instruction": "A chat. Find the eigenvalues and eigenvectors of the matrix B = [[5, 4], [2, 3]]."} {"instruction": "A chat. It takes 10 minutes to boil 3 eggs in a pot. How long will it take to boil 12 eggs?"} {"instruction": "A chat. You have 20 apples. You give half of them to your friend. Then you eat two of the remaining apples. How many apples do you have left? Show your work."} {"instruction": "A chat. Find the radius of convergence for the power series \u03a3 (n*x^n)/(n+1) from n=0 to infinity."} {"instruction": "A chat. If you were running a race and passed the person in second place, what place would you be in now?"} {"instruction": "A chat. What is the sum of all the divisors of the number 360?"} {"instruction": "A chat. There are 60 seconds in a minute and 60 minutes in an hour. How many seconds are there in a day? Reason step-by-step."} {"instruction": "A chat. If a car travels at an average speed of 65 miles per hour on a trip that takes 4 hours and 30 minutes, how far does the car travel?"} {"instruction": "A chat. A construction company is bidding on a large infrastructure project that requires the use of various heavy equipment, including cranes, excavators, and bulldozers. The company needs to determine the optimal combination of equipment to rent or purchase, considering factors such as project duration, equipment availability, and rental rates. Develop a method to determine the most cost-effective approach for acquiring the necessary equipment while meeting project deadlines. Describe your calculations step by step.\n"} {"instruction": "A chat. A store sells apples in bags containing 6 apples each. If the store has 720 apples in stock, how many full bags of apples can be made?"} {"instruction": "A chat. In a group of 30 people, how many ways can you form a committee of 5 members if one specific person must be included and another specific person must not be included?"} {"instruction": "A chat. A rectangle has a length of 20 cm and a width of 15 cm. If you increase both the length and the width by the same percentage, what should this percentage be so that the area of the new rectangle is exactly double the original area?"} {"instruction": "A chat. Tom can paint a room in 6 hours. Jane can paint the same room in 8 hours. If they both start painting at the same time, how long will it take them to finish painting the room together?"} {"instruction": "A chat. A car rental company has a fleet of 200 cars. They find that on average, 15% of their cars are rented out each day. What is the probability that exactly 35 cars will be rented out on a given day?"} {"instruction": "A chat. A group of people are voting on three different proposals. Each person can vote for or against each proposal independently. If there are 10 people in the group, how many possible outcomes are there for the votes on the three proposals?"} {"instruction": "A chat. A hotel chain plans to renovate its properties over the next three years. There are a total of 30 hotels in the chain, with an average of 150 rooms per hotel. Each room renovation takes approximately one week to complete, and the hotel can only renovate 10 rooms at a time without disrupting guest stays. Calculate the total number of weeks required to complete the renovations across all hotels, considering that work can be done simultaneously at multiple locations. Provide step-by-step reasoning."} {"instruction": "A chat. In a family of five siblings, the average age is 12 years. If we exclude the youngest sibling, who is 6 years old, what will be the new average age of the remaining four siblings?"} {"instruction": "A chat. A factory produces 500 units of product A per day. Each unit of product A requires 3 units of raw material B. The factory has enough raw material B to produce 4500 units of product A. For how many days can the factory continue production without running out of raw material B?"} {"instruction": "A chat. If there are 8 billion people in the world and each person has an average of 100,000 hairs on their head, how many total hairs are there on all human heads combined? Show your work."} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes the train 30 minutes to travel between two stations. After leaving the second station, the train stops for 15 minutes before continuing its journey. How long does it take for the train to travel between the two stations and complete its stop?"} {"instruction": "A chat. In a class of 30 students, 15 students play soccer, and 12 students play basketball. If 7 students play both sports, how many students don't play either sport?"} {"instruction": "A chat. A car rental company charges $25 per day plus an additional 15 cents per mile driven. If a customer rents a car for 3 days and drives it for 120 miles, how much will the total cost be?"} {"instruction": "A chat. In a town, 60% of people have dogs, 40% have cats, and 20% have both dogs and cats. What percentage of people have neither dogs nor cats?"} {"instruction": "A chat. A cruise ship company is designing a new vessel to accommodate more passengers while maintaining a high level of comfort and amenities. The current flagship vessel has a capacity of 3,000 passengers and offers 1,500 staterooms, three restaurants, two pools, and various entertainment options. The new vessel should be able to accommodate 4,000 passengers without compromising on available facilities. Determine the number of additional staterooms, restaurants, pools, and other amenities needed to maintain the same passenger-to-facility ratio as the current flagship vessel.\n"} {"instruction": "A chat. If every human on Earth blinked simultaneously, how long would the world be in darkness? Explain your thought process."} {"instruction": "A chat. There are 12 pens in a box. If you randomly pick one pen, the probability of getting a red pen is 1/3. How many red pens are there in the box?"} {"instruction": "A chat. If a car travels at an average speed of 60 mph for 3 hours and then at an average speed of 45 mph for another 2 hours, what is the total distance traveled?"} {"instruction": "A chat. An airline is analyzing its route network to optimize flight schedules and minimize operational costs. They currently operate 100 aircraft with varying capacities and ranges, serving 200 destinations worldwide. Determine the optimal route network and fleet deployment strategy to maximize revenue while minimizing costs, taking into account factors such as passenger demand, airport fees, fuel prices, and crew scheduling constraints."} {"instruction": "A chat. In a room, there are 10 people who shake hands with each other once. How many handshakes will there be altogether? Show your work."} {"instruction": "A chat. There are 5 red balls and 3 blue balls in a bag. If you pick one ball at random, what is the probability of picking a green ball?"} {"instruction": "A chat. A factory produces 400 cars each month. How many cars does it produce in a decade? Consider a decade to be 10 years. Detail your steps."} {"instruction": "A chat. A store sells two types of pens: Type A costs $1.50 per pen, and Type B costs $2.00 per pen. If a customer buys a total of 15 pens for $27.00, how many of each type did they purchase?"} {"instruction": "A chat. A group of people wants to rent bicycles for a day trip. The rental shop charges $20 per bicycle plus a one-time service fee of $15. If the group has a budget of $200, how many bicycles can they rent?"} {"instruction": "A chat. In a small town, there are 3 barbers. Barber A is always fully booked on Mondays and Wednesdays, while Barber B is fully booked on Tuesdays and Thursdays. Barber C has an open schedule but only works 3 days a week. If you want to get a haircut on Friday, which barber should you go to?"} {"instruction": "A chat. Using statistical methods, analyze the relationship between hours studied per week and final exam scores for a sample of college students.\n"} {"instruction": "A chat. A train travels from City A to City B at a constant speed. Halfway between City A and City B, it stops for 15 minutes. The total travel time from City A to City B, including the stop, is 3 hours and 45 minutes. How long does it take for the train to travel from City A to the halfway point without considering the stop?"} {"instruction": "A chat. ((4^2 * 3) - 5 + 1) / (9 - 3 * 2) ="} {"instruction": "A chat. A train travels at an average speed of 60 mph. It takes 3 hours to travel from Town A to Town B. After a 30-minute break in Town B, it continues its journey to Town C at an average speed of 80 mph. The entire trip, including the break, takes 5 hours. What is the distance between Town B and Town C?"} {"instruction": "A chat. An amusem*nt park is redesigning its ticket pricing strategy based on visitor data. On average, 60% of visitors are adults, 30% are children, and 10% are seniors. Adult tickets currently cost $50, child tickets cost $35, and senior tickets cost $40. The park wants to increase its daily revenue by 20% without changing the proportion of visitors in each category. Determine the new ticket prices for each category while maintaining the same ratio between adult, child, and senior ticket prices. Explain your calculations.\n"} {"instruction": "A chat. A box contains 5 red balls and 3 blue balls. If you randomly pick two balls from the box, what is the probability that both balls are red?"} {"instruction": "A chat. A city's public transportation system consists of buses, trams, and subway lines. The current daily ridership is 500,000 passengers, but the city expects this number to increase by 25% over the next five years due to population growth and urban development projects. Analyze the necessary expansion of the transportation network, including additional vehicles, routes, and infrastructure investments, to accommodate the projected increase in ridership.\n"} {"instruction": "A chat. In a village, there are 10 houses. Each house has 5 rooms and each room has 2 windows. However, one of the houses is under construction and only has half of its windows installed. How many windows are in the village?"} {"instruction": "A chat. A rectangular garden has a length of 50 feet and a width of 30 feet. If you want to build a fence around the entire garden, how many feet of fencing will you need?"} {"instruction": "A chat. Solve the heat equation u_t = k * u_xx on the interval [0, L] with boundary conditions u(0,t) = u(L,t) = 0 and initial condition u(x,0) = f(x)."} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. Halfway through the journey, it stops for 15 minutes. If the entire trip takes 2 hours and 15 minutes, how long does it take for the train to travel halfway between Town A and Town B without considering the stop time?"} {"instruction": "A chat. A rectangular garden measures 10 meters by 15 meters. What is the area of the garden in square meters?"} {"instruction": "A chat. In a village, there are 20 houses. Each house has at least one cat and each cat has an equal number of kittens. The total number of cats and kittens in the village is 100. How many kittens does each cat have?"} {"instruction": "A chat. Five friends went camping. On the first day, they caught 1 fish. On the second day, they caught twice as many fish as on the first day. Each subsequent day, they caught twice as many fish as the previous day. After five days, they had to leave and decided to evenly distribute all the fish among them. How many fish did each friend get?"} {"instruction": "A chat. Sarah has 20 pencils and gives away 5 erasers. How many pens does she have left?"} {"instruction": "A chat. You are given three identical-looking boxes. One box contains only apples, another box contains only oranges, and the third box contains both apples and oranges. Each box is labeled, but all the labels are incorrect. You are allowed to pick one fruit from any box without looking inside. How can you determine the contents of all three boxes?"} {"instruction": "A chat. A factory produces 500 units of a product every day. If each unit sells for $25 and the factory operates 20 days per month, what is the factory's monthly revenue?"} {"instruction": "A chat. Find the area under the curve y = x^2 from x = 0 to x = 3 using integration."} {"instruction": "A chat. There are 100 people in a room. 75% of them are wearing glasses, and 80% of those wearing glasses also wear hats. How many people are wearing both glasses and hats?"} {"instruction": "A chat. If you flip a coin three times, what is the probability of getting heads exactly twice? Show your work."} {"instruction": "A chat. In a room, there are 4 people. Each person has a hat that is either red or blue. If at least one person has a red hat and at least one person has a blue hat, what is the probability that two of them have the same color hats?"} {"instruction": "A chat. A car rental company charges a flat fee of $20 for renting a car and an additional $0.10 per mile driven. If a customer rents a car and drives it for 150 miles, what is the total cost of the rental?"} {"instruction": "A chat. If a person is twice as old as another, and the sum of their ages is 60 years, how old are they? Reason step-by-step."} {"instruction": "A chat. A group of friends is playing a game where each person has to guess the number of candies in a jar. Alice guesses 35, Bob guesses 42, and Carol guesses 50. The actual number of candies in the jar is 45. Whoever guessed closest to the actual number wins. If two or more people tie, they split the prize. Who wins the game?"} {"instruction": "A chat. A restaurant sells pizzas with a diameter of 16 inches for $20 each. If the price is directly proportional to the area of the pizza, how much would they charge for a pizza with a diameter of 10 inches?"} {"instruction": "A chat. If a car travels at an average speed of 60 miles per hour and needs to cover a distance of 240 miles, how long will it take to reach its destination?"} {"instruction": "A chat. If I start with 20 pencils and give away 5 erasers, how many pencils do I have left?"} {"instruction": "A chat. A factory produces widgets in batches of 10,000 units. The first batch has a defect rate of 1%, and with each subsequent batch, the defect rate decreases by 0.1%. After how many batches will the factory reach a defect rate of 0.5%?"} {"instruction": "A chat. In a class of 20 students, 12 are boys. What fraction of the class are girls? Show your working."} {"instruction": "A chat. An airline wants to optimize its flight schedule between two major cities. They currently operate 10 flights per day, with an average passenger load of 80%. Each flight can accommodate up to 200 passengers. To increase revenue, the airline is considering either increasing the number of daily flights or using larger aircraft with a capacity of 300 passengers. Analyze the options and determine which one would generate higher revenue, assuming ticket prices remain constant and the same 80% passenger load applies to both scenarios.\n"} {"instruction": "A chat. In a room of 50 people, there are 20 men and 30 women. If you randomly select two people from the room, what is the probability that both are women?"} {"instruction": "A chat. A company has 12 employees, and they want to form a committee of 5 members. How many different committees can be formed if one specific employee must be on the committee?"} {"instruction": "A chat. Solve: 4(2x - 3) + 6 = 10"} {"instruction": "A chat. A store sells a pack of 5 pens for $3. How much would it cost to buy 25 pens?"} {"instruction": "A chat. There are 100 light bulbs in a row, all turned off initially. You make 100 passes along the row of light bulbs. On the first pass, you flip the switch on every bulb. On the second pass, you flip the switch on every second bulb. On the third pass, you flip the switch on every third bulb, and so on until your 100th pass when you only flip the switch on the last bulb. After completing all 100 passes, how many light bulbs are left on?"} {"instruction": "A chat. Three friends decide to split the cost of a pizza evenly. However, one friend forgot their wallet and cannot pay for their share. The other two friends agree to cover the missing share, but they still want to split the cost evenly between them. If the pizza costs $12, how much does each of the two paying friends owe?"} {"instruction": "A chat. A fruit seller had 50 oranges. He sold 40% of them on the first day and the rest on the second day. How many oranges did he sell on the second day? Show your work."} {"instruction": "A chat. In a class of 60 students, 35% of the students are girls. How many boys are there in the class?"} {"instruction": "A chat. There are 8 people in a room. Half of them have blue eyes, and the other half have green eyes. If one person with blue eyes leaves the room and another person with brown eyes enters, what is the ratio of blue-eyed to green-eyed people now?"} {"instruction": "A chat. If I have 5 cats and each cat has 4 legs, how many oranges are in a dozen?"} {"instruction": "A chat. If a car has 4 tires and a bicycle has 2 tires, how many tires are there in total if I have 3 cars and 3 bicycles? Use step-by-step logic."} {"instruction": "A chat. A factory produces 500 toys every hour. How many toys does it produce in a week? Assume the factory operates 24 hours a day, 7 days a week. Include your logic."} {"instruction": "A chat. An online retailer is analyzing its shipping costs to determine if offering free shipping on orders over a certain amount would increase sales. Currently, the average order value is $60, with an average shipping cost of $8 per order. If the company offers free shipping on orders over $75, they estimate that 30% of customers will increase their order value to qualify for free shipping. Calculate the potential increase in revenue and the change in shipping costs under this new policy, providing step-by-step reasoning.\n"} {"instruction": "A chat. There are 7 billion people on Earth. Roughly how many times would you have to fold a piece of paper for it to reach the moon? Assume the thickness of the paper is 0.01 cm and the distance to the moon is about 384,400 km. Walk me through your logic."} {"instruction": "A chat. The Earth has a circumference of approximately 24,901 miles. How many times would you have to travel around the Earth to cover a distance equal to the average distance between the Earth and the Moon (238,900 miles)?"} {"instruction": "A chat. In a certain village, every person has either blue eyes or brown eyes. All people with blue eyes always tell the truth, while all people with brown eyes always lie. You meet three villagers named Alice, Bob, and Carol. Alice says \"Bob has blue eyes.\" Bob says \"Carol has brown eyes.\" Carol says \"I have blue eyes.\" What color are their eyes?"} {"instruction": "A chat. A car rental company charges $20 per day for renting a car. Additionally, they charge 15 cents per mile driven. If someone rents a car for 5 days and drives it for 300 miles, how much will their total cost be?"} {"instruction": "A chat. In a small town, there are 3 barbers. The first barber has a full head of hair, the second barber is bald, and the third barber has a terrible haircut. If you were to choose one of them for your own haircut, which one should you pick?"} {"instruction": "A chat. A water tank has a capacity of 500 liters. If it is currently filled with 300 liters of water and you add water at a rate of 20 liters per minute, how long will it take to fill the tank completely?"} {"instruction": "A chat. A farmer has chickens and cows in his farm. He counted a total of 50 heads and 140 legs. How many chickens and cows does he have?"} {"instruction": "A chat. Bob has twice as many marbles as Alice. Together, they have 18 marbles. How many marbles does each person have? Include your logic."} {"instruction": "A chat. John can solve puzzles faster than Mike. Mike can solve puzzles faster than Sarah. Can Sarah solve puzzles faster than John? Explain your thought process."} {"instruction": "A chat. If a car gets 30 miles per gallon and has a 12-gallon fuel tank, how many miles can it travel on a full tank before running out of gas?"} {"instruction": "A chat. A rectangle has a length of 10 meters and a width of 8 meters. If you increase the length by 50% and decrease the width by 25%, what will be the new area of the rectangle?"} {"instruction": "A chat. Calculate the present value of a bond that pays $500 every year for 5 years and has a face value of $5,000 if the discount rate is 6%. Explain your reasoning.\n"} {"instruction": "A chat. A city is facing a growing traffic congestion problem due to rapid urbanization and increased car ownership. To address this issue, the city plans to invest in public transportation infrastructure and promote alternative modes of transport, such as cycling and walking. Develop a comprehensive plan for reducing traffic congestion over the next 10 years, considering factors such as population growth, land use patterns, and technological advancements. Describe your approach and provide supporting evidence or examples."} {"instruction": "A chat. A factory produces 400 cars every month. Each car requires 4 tires. How many tires does the factory need monthly for its production? Include your logic."} {"instruction": "A chat. If it takes John 3 hours to paint a room and it takes Jane 4 hours to paint the same room, how long would it take them to paint the room together?"} {"instruction": "A chat. A store sells apples for $1.50 per pound and oranges for $2.00 per pound. If a customer buys 8 pounds of apples and 6 pounds of oranges, what is the total cost of their purchase?"} {"instruction": "A chat. A factory produces 500 units of a product every day. If each unit sells for $25 and the factory operates 6 days a week, how much revenue does the factory generate in one week?"} {"instruction": "A chat. In a class of 30 students, there are 10 boys who play soccer and 5 girls who play soccer. The remaining boys do not play any sport. There are also 8 girls who play basketball but not soccer. How many students in the class do not play any sport? Explain your reasoning."} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour for the first half of its journey and then increases its speed to an average of 80 miles per hour for the second half of the journey. The entire trip is 300 miles long. How long does it take for the train to complete its journey?"} {"instruction": "A chat. A city's public transportation system consists of buses, trains, and trams. The annual ridership for each mode of transport is as follows: 30 million for buses, 20 million for trains, and 10 million for trams. The city wants to increase overall ridership by 15% over the next five years. Determine the target ridership numbers for each mode of transport and suggest strategies to achieve these goals, considering factors such as route expansion, frequency improvements, and fare adjustments.\n"} {"instruction": "A chat. A travel agency is organizing a group tour to Europe for 150 people. The trip includes flights, hotel accommodations, meals, and guided tours. The cost breakdown is as follows: $800 per person for flights, $150 per night for hotels (10 nights), $50 per day for meals (11 days), and $300 per person for guided tours. Additionally, the travel agency charges a 15% service fee on the total cost. Calculate the total cost per person for this trip and provide a detailed explanation of your calculations.\n"} {"instruction": "A chat. A rectangular garden has a length of 30 meters and a width of 20 meters. If you want to increase the area of the garden by 50%, how much should you increase the length or the width?"} {"instruction": "A chat. A gardener can water three plants in 15 minutes using a single watering can. How long will it take to water 12 plants?"} {"instruction": "A chat. There are 5 red balls and 7 blue balls in a bag. If you randomly pick one ball out of the bag, what is the probability that it will be a red ball?"} {"instruction": "A chat. An artist creates paintings using three colors: red, blue, and green. Each painting must have at least one color but cannot use all three colors. How many different combinations of colors can the artist create?"} {"instruction": "A chat. Determine the probability of rolling a sum of 7 when rolling two six-sided dice, showing all calculations.\n"} {"instruction": "A chat. A company sells widgets for $25 each. The cost to produce each widget is $10. If they sell 800 widgets per month, what is their monthly profit?"} {"instruction": "A chat. A store sells apples in bags containing 6 apples each. If a customer buys 4 bags of apples and gives away 2 apples to their friend, how many apples does the customer have left?"} {"instruction": "A chat. Solve: 3x - 7 = 20."} {"instruction": "A chat. A train leaves from station A at 8 am traveling at 60 mph towards station B. Another train leaves station B at 9 am traveling at 80 mph towards station A. Station A and B are 400 miles apart. Which train will be closer to station A when they meet?"} {"instruction": "A chat. In a bag, there are 10 red balls and 20 blue balls. If you randomly pick one ball from the bag, what is the probability that it will be green?"} {"instruction": "A chat. In a class of 40 students, 75% passed an exam. Of those who passed, 60% scored above 80%. How many students scored above 80% on the exam?"} {"instruction": "A chat. A class consists of 60% boys and 40% girls. If 10% of the boys and 20% of the girls wear glasses, what percentage of the entire class wears glasses?"} {"instruction": "A chat. If a company has 10 employees and wants to form a committee of 3 people, how many different committees can be formed?"} {"instruction": "A chat. A company has 200 employees, and 40% of them are part-time workers. The company decides to hire an additional 50 full-time employees. What percentage of the workforce will be part-time workers after this change?"} {"instruction": "A chat. What is the volume of water in an Olympic-sized swimming pool?"} {"instruction": "A chat. A car travels at an average speed of 50 miles per hour for 4 hours and then increases its speed to 70 miles per hour for another 3 hours. What is the total distance traveled by the car?"} {"instruction": "A chat. If a company produces 500 units of product per day and each unit generates $25 in revenue, how much additional revenue will be generated if production is increased by 20%?"} {"instruction": "A chat. A movie theater has 15 rows with 20 seats in each row. If the theater is half full, how many seats are occupied? Show your work."} {"instruction": "A chat. A train travels at an average speed of 60 kilometers per hour. If it takes 3 hours and 45 minutes to travel between two cities, what is the distance between the cities?"} {"instruction": "A chat. If a tree has 12 branches, and each branch has 15 twigs, and each twig has 10 leaves, how many leaves are there in total on the tree? Show your work."} {"instruction": "A chat. If a person invests $5,000 at an annual interest rate of 4%, compounded quarterly, how much money will they have after 3 years?"} {"instruction": "A chat. In a group of 20 people, 8 people wear glasses, 9 people wear hats, and 5 people wear both glasses and hats. How many people don't wear glasses or hats?"} {"instruction": "A chat. What is the maximum number of elephants you can fit inside a standard refrigerator?"} {"instruction": "A chat. There are 25 students in a class. Each student has either a cat or a dog as a pet. If there are a total of 12 cats among the students' pets, how many dogs are there?"} {"instruction": "A chat. A city is planning to construct a new public park with various amenities, including walking trails, playgrounds, and picnic areas. The total area of the park is 10 acres, and the city has allocated $2 million for its construction. Calculate the cost per square foot for the park's development, taking into account that 40% of the budget will be spent on landscaping, 30% on playground equipment, 20% on walking trails, and 10% on picnic areas. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A factory produces widgets at a rate of 1000 per hour. If it takes 2 hours to package every 500 widgets, how long will it take to package all the widgets produced in an 8-hour shift?"} {"instruction": "A chat. A cruise ship company is planning a new route that will include stops at five different ports over a two-week period. The ship has a capacity of 3,000 passengers and operates at an average occupancy rate of 85%. Calculate the total number of passengers expected to travel on this route during the two weeks and estimate the revenue generated from ticket sales, assuming an average ticket price of $1,500 per passenger.\n"} {"instruction": "A chat. A factory produces widgets at a rate of 10 per hour. After 4 hours, the production rate increases to 15 widgets per hour. How many widgets will be produced after 12 hours?"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B in one day. Product A requires 2 hours of labor per unit, while product B requires 3 hours of labor per unit. If there are 10 workers available and each worker works 8 hours a day, how many days will it take to produce the required number of products?"} {"instruction": "A chat. A box contains 10 red balls and 20 blue balls. You are allowed to take out one ball at a time without looking. What is the minimum number of balls you must draw to ensure that you have at least 6 balls of the same color?"} {"instruction": "A chat. There are 20 birds on a tree. A hunter shoots and kills 25% of them. How many birds are left on the tree? Explain your logic."} {"instruction": "A chat. A box contains 12 balls, some black and some white. If I randomly pick a ball from the box, the probability of getting a black ball is 1/3. How many black balls are there in the box? Break down your approach."} {"instruction": "A chat. If a bag contains 4 red balls, 3 blue balls, and 5 green balls, what is the probability of drawing two red balls in a row without replacement?"} {"instruction": "A chat. A company has a total of 500 employees. Among them, 60% work in the sales department, 25% work in the marketing department, and the rest work in the finance department. If the company plans to give a $200 bonus to each employee in the sales department and a $300 bonus to each employee in the marketing department, what is the total cost of bonuses for the company?"} {"instruction": "A chat. A train travels at a constant speed for 200 miles. It takes 4 hours to complete the first half of the journey and 5 hours to complete the second half. What is the train's average speed for the entire journey?"} {"instruction": "A chat. Calculate the sum of the first 20 terms of an arithmetic sequence with a common difference of 3 and a first term of 5. Explain your reasoning.\n"} {"instruction": "A chat. How many miles does a person walk in a year if they take 10,000 steps per day and their stride length is 2.5 feet?"} {"instruction": "A chat. A factory produces 150 widgets every hour. How many widgets will it produce in a month if it operates 24 hours a day and there are 30 days in the month?"} {"instruction": "A chat. In a classroom, there are 20 students. Each student has 5 pencils, except for one student who has 10 pencils. How many pencils do the other 19 students have in total?"} {"instruction": "A chat. Solve: 3x - 7 = 11."} {"instruction": "A chat. A telecommunications company wants to expand its network coverage by installing additional cell towers in rural areas. The company currently covers 80% of the country's population, with 1,000 existing cell towers. To achieve 95% coverage, they need to install an additional 500 towers. Each tower costs $150,000 to build and has an annual operating cost of $10,000. Calculate the total investment required for the expansion project and the associated annual operating costs, as well as the potential return on investment based on increased subscriber numbers and monthly service fees, assuming an average fee of $50 per subscriber."} {"instruction": "A chat. In a village, there are 50 houses. Each house has a dog, and each dog has an owner who lives in the same house. If one day, all dogs go out for a walk with their owners, how many legs are walking around the village?"} {"instruction": "A chat. A committee consists of 7 members: 3 women and 4 men. To form a subcommittee, at least one woman and one man must be present. How many different subcommittees can be formed? Provide your thought process."} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. Halfway through the journey, it starts raining, which causes the train to slow down by 25%. As a result, the total travel time increases by 20 minutes. How long would the entire trip have taken if it hadn't rained?"} {"instruction": "A chat. A factory produces two types of widgets: Type A and Type B. For every 7 Type A widgets produced, there are 3 Type B widgets produced. If a total of 5000 widgets were produced last month, how many Type A widgets were produced?"} {"instruction": "A chat. John wants to distribute his collection of 90 comic books among his four friends. He decides to give 10% of his collection to his first friend, 20% to his second friend, 30% to his third friend, and the rest to his fourth friend. How many comic books does each friend receive?"} {"instruction": "A chat. A printer can print 8 pages in 2 minutes. How long will it take to print 32 pages?"} {"instruction": "A chat. A store sells apples for $1.50 each and oranges for $2.00 each. If a customer buys a total of 10 fruits and spends exactly $18, how many apples did they buy?"} {"instruction": "A chat. In a game, Alex scores double the points that Bella does. Together, they score 36 points. How many points does each player score? Provide step-by-step logic."} {"instruction": "A chat. If a company produces 5000 units of a product per day and sells them for $20 each, how much additional revenue would they generate if they increased their production by 10%?"} {"instruction": "A chat. There are 12 birds sitting on a fence. Half of them fly away, and then 4 more join the remaining birds. How many birds are now on the fence?"} {"instruction": "A chat. A rectangle has a length of 8 cm and a width of 6 cm. If you increase the length by 50% and decrease the width by 25%, what will be the new area of the rectangle?"} {"instruction": "A chat. In a family of 6 people, there are two married couples. One couple has three children, and the other couple has one child. The father in the first couple is the brother of the mother in the second couple. How many uncles or aunts do the children have in total?"} {"instruction": "A chat. In a school with 1200 students, 60% are boys and the rest are girls. If 80% of the boys and 70% of the girls participate in sports activities, how many students do not participate in sports?"} {"instruction": "A chat. A train travels at a constant speed of 60 km/h. If it takes the train 2 hours to travel from station A to station B, how long will it take for the train to travel back from station B to station A if its speed remains unchanged?"} {"instruction": "A chat. John can paint a house in 5 days, while Jane can paint the same house in 7 days. How long will it take them to paint the house together?"} {"instruction": "A chat. A bag contains 6 red balls and 4 green balls. If you randomly pick two balls at once without looking, what is the probability that both balls will be red?"} {"instruction": "A chat. There are 10 birds on a tree branch. A hunter shoots one bird, and the rest fly away. How many birds are left on the tree branch?"} {"instruction": "A chat. A group of friends went out for dinner. Each person had either pizza or pasta as their main course. Exactly half of those who ordered pizza also ordered dessert, while three-quarters of those who ordered pasta ordered dessert. If there were 16 people in total and 12 people ordered dessert, how many people ordered pizza?"} {"instruction": "A chat. In a classroom, there are 24 students. Among them, 12 students play soccer, 8 students play basketball, and 4 students play both soccer and basketball. How many students don't play either sport?"} {"instruction": "A chat. Solve the following algebraic equation: 3x + 5 = 17. Show your work.\n"} {"instruction": "A chat. A store sells two types of candy bars, one for $1.50 each and another for $2.00 each. If a customer buys a total of 20 candy bars and spends exactly $35, how many of each type did they buy?"} {"instruction": "A chat. Given a set S with n elements, find the number of subsets of S."} {"instruction": "A chat. A large supermarket chain wants to optimize its supply chain by reducing food waste. They currently discard 8% of their perishable products due to spoilage. The company plans to invest in better storage facilities and improved inventory management systems, which will cost $20 million upfront and reduce spoilage rates by half. Estimate the potential savings from reduced food waste over a 10-year period, assuming the company spends $100 million on perishable products annually. Describe your calculation process.\n"} {"instruction": "A chat. How many edges does a complete graph with 10 vertices have?"} {"instruction": "A chat. If you have $5,000 invested in a savings account earning an annual interest rate of 2%, how much money will be in the account after 3 years?"} {"instruction": "A chat. A national sports league is evaluating the financial impact of expanding by adding two new teams. Each team will require a new stadium, costing $500 million to construct. Additionally, the league needs to account for player salaries, coaching staff, and other operational expenses. Estimate the total investment required for expansion and calculate the potential return on investment through ticket sales, merchandise, and broadcasting rights. Provide a step-by-step analysis.\n"} {"instruction": "A chat. In a room, there are 5 cats. Each cat catches 3 mice per day. After catching the mice, each cat gives one mouse to its owner and keeps the rest for itself. How many mice do all the cats catch in total after 4 days?"} {"instruction": "A chat. In a building, there are 8 floors. On each floor, there are 4 apartments. Each apartment has 3 rooms and each room has 2 windows. How many windows are on the first three floors of the building?"} {"instruction": "A chat. A construction company is bidding on a project to build a new highway connecting two cities located 500 miles apart. The highway will have four lanes in each direction, with an estimated cost of $2 million per mile for land acquisition, materials, labor, and other expenses. Additionally, the company needs to construct 10 bridges along the route, each costing $50 million. Calculate the total project cost and provide detailed reasoning.\n"} {"instruction": "A chat. In a village, there are 10 houses in a row. Each house has one family living in it. The first family has one member, the second family has two members, the third family has three members, and so on until the tenth family which has ten members. One day, a person from each family comes out of their house at the same time. How many people came out of the houses?"} {"instruction": "A chat. In a town, there are 50 houses. Every house has a dog, and every dog barks at exactly two cats. For every cat that gets barked at, it scares away three birds. How many birds get scared away in total?"} {"instruction": "A chat. In a group of 25 people, what is the probability that at least two people share the same birthday?"} {"instruction": "A chat. In a town, 30% of the people have dogs, and 40% of the people have cats. If 20% of the people have both dogs and cats, what percentage of the people in the town have neither dogs nor cats?"} {"instruction": "A chat. ((3 * 4)^2 - (5 + 7) * 2) / 9 ="} {"instruction": "A chat. An office building has 20 floors. Each floor has 25 rooms. Each room has 4 windows. How many windows are there in the whole building? Show your work."} {"instruction": "A chat. Determine the structure of all finitely generated abelian groups."} {"instruction": "A chat. A factory produces two types of products: Product A and Product B. The factory can produce 100 units of Product A or 200 units of Product B in a day. If the factory operates for 300 days in a year and wants to maximize its production, how many units of each product should it produce?"} {"instruction": "A chat. Classify all finite-dimensional division algebras over the real numbers up to isomorphism."} {"instruction": "A chat. A car rental company has two types of cars: economy and luxury. The ratio of economy cars to luxury cars is 3:2. If there are 50 more economy cars than luxury cars, how many total cars does the company have?"} {"instruction": "A chat. There are 5 red balls and 7 blue balls in a box. You randomly pick two balls at once, then put them back into the box. If you repeat this process 3 times, what is the probability of picking two red balls each time?"} {"instruction": "A chat. If you fill a swimming pool with water at a rate of 20 gallons per minute, how long will it take to fill a 30,000-gallon pool?"} {"instruction": "A chat. A rectangular room measures 12 feet in length and 10 feet in width. What is the area of this room in square meters?"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour. It takes 5 hours to reach its destination. How far does the train travel?"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour. It takes 30 minutes to travel from Station A to Station B. How far apart are Station A and Station B?"} {"instruction": "A chat. If a car rental company has 200 cars and rents out 75% of them on a particular day, how much income does the company generate if each rented car brings in $50?"} {"instruction": "A chat. A shipping company wants to optimize its fleet by replacing older vessels with newer, more fuel-efficient ships. The company currently operates 50 ships, each consuming an average of 150 tons of fuel per month. Newer ships consume 20% less fuel but have a higher upfront cost. If the company replaces 30% of its fleet, calculate the potential monthly fuel savings and the time required to recoup the additional investment in new ships, assuming a fuel cost of $600 per ton. Provide step-by-step calculations.\n"} {"instruction": "A chat. A farmer has a rectangular field that measures 120 meters by 80 meters. He wants to build a fence around the entire field but must leave an opening for his tractor to enter. If the opening is 5 meters wide, how many meters of fencing will he need?"} {"instruction": "A chat. Calculate (3^2 - 4) * (6 + 2) / 2."} {"instruction": "A chat. Solve for x: 2x + 4 = 16."} {"instruction": "A chat. A bag contains 6 red balls, 4 blue balls, and 5 green balls. If you draw one ball at random, what is the probability that it will be either red or blue?"} {"instruction": "A chat. You have a 5-liter jug and a 3-liter jug with no markings other than their maximum capacity. You need to measure exactly 4 liters of water. How can you do this?"} {"instruction": "A chat. A factory produces 150 units of a product per day. Due to an increase in demand, they decide to increase production by 10% each week for 4 weeks. How many units will they produce on the last day of the fourth week?"} {"instruction": "A chat. A theme park is designing a new roller coaster ride with a height restriction of 48 inches or taller. According to recent visitor data, 60% of visitors meet this height requirement. The roller coaster has a capacity of 24 riders per run and takes 3 minutes to complete one cycle (including loading and unloading). Calculate the number of riders who can experience the roller coaster per hour and estimate the daily rider count, assuming the park operates for 10 hours a day.\n"} {"instruction": "A chat. In a room, there are 4 people. Each person has 3 apples and gives away 2 apples to other people in the room. How many apples does each person have now?"} {"instruction": "A chat. A factory produces 500 units of a product per day. Due to an increase in demand, they decide to increase production by 15%. How many units will they produce per day after the increase?"} {"instruction": "A chat. A hospital wants to improve its emergency response time by adding more ambulances to its fleet. Currently, the hospital has 15 ambulances, which can respond to an average of 100 emergencies per day. The hospital aims to increase its capacity by 25%. Calculate the number of additional ambulances needed to achieve this goal, considering each ambulance can handle the same number of emergencies per day. Provide your reasoning in steps.\n"} {"instruction": "A chat. A train travels 300 miles in 5 hours. If it increases its speed by 10 mph, how long will it take to travel the same distance?"} {"instruction": "A chat. A rectangular garden measures 30 feet by 40 feet. If a gardener wants to build a walkway of uniform width around the garden, and the area of the walkway is 600 square feet, what is the width of the walkway?"} {"instruction": "A chat. (4^2 - 5) * (6 / 2) + 3 ="} {"instruction": "A chat. A restaurant serves 100 meals in a day. Each meal includes one piece of bread. If a loaf of bread has 20 slices, how many loaves does the restaurant need in a day? Show your work."} {"instruction": "A chat. If a person invests $10,000 in a savings account with an annual interest rate of 2.5%, compounded monthly, how much money will they have after 3 years?"} {"instruction": "A chat. A square room has an area of 64 square meters. There are two doors on opposite walls, each 1 meter wide. How long does it take to walk from one door to the other if you walk at a speed of 2 meters per second?"} {"instruction": "A chat. A shipping company needs to transport goods from a warehouse to various destinations across the country. There are three types of trucks available: small (capacity of 5 tons), medium (capacity of 15 tons), and large (capacity of 30 tons). The company has a fleet of 20 small trucks, 10 medium trucks, and 5 large trucks. Fuel costs vary depending on truck size: $0.10 per mile for small trucks, $0.20 per mile for medium trucks, and $0.40 per mile for large trucks. Calculate the most cost-effective way to distribute the goods, considering distances to each destination and the weight of the cargo. Describe your approach in steps.\n"} {"instruction": "A chat. If a person burns an average of 300 calories per hour while walking, how many calories will they burn after walking for 1 hour and 45 minutes?"} {"instruction": "A chat. A group of friends is planning to watch three movies in one day. The first movie lasts for 2 hours and 15 minutes, the second movie lasts for 1 hour and 45 minutes, and the third movie lasts for 2 hours and 30 minutes. If they start watching the first movie at 3 PM, what time will they finish watching all three movies if they take a 15-minute break between each movie?"} {"instruction": "A chat. A company has a budget of $50,000 for employee bonuses. If there are 25 employees and each employee receives a bonus proportional to their salary, how much will an employee with a salary of $60,000 receive as a bonus?"} {"instruction": "A chat. A city's public transportation system consists of buses, trams, and subway lines. The city wants to optimize its resources by determining the most efficient mode of transport based on passenger volume, operating costs, and environmental impact. Develop a method for comparing these factors across the three modes of transport and suggest possible improvements to the system. Provide a step-by-step description of your approach.\n"} {"instruction": "A chat. A bag contains 4 red marbles, 5 blue marbles, and 6 yellow marbles. If you randomly draw 3 marbles from the bag without replacement, what is the probability that at least one marble will be red?"} {"instruction": "A chat. The Earth's circumference is approximately 24,901 miles. If you were to travel around the Earth at a constant speed of 500 miles per hour, how long would it take you to complete the journey?"} {"instruction": "A chat. A factory produces 1200 units of a product per day. How many units will it produce in a week?"} {"instruction": "A chat. If a store sells 12 different types of fruit, how many ways can you choose 3 fruits without repetition?"} {"instruction": "A chat. Solve the linear programming problem: maximize P = 5x + 3y subject to the constraints x \u2265 0, y \u2265 0, x + y \u2264 10, and 2x + y \u2264 12."} {"instruction": "A chat. A gardener plants 8 trees in a straight line, with equal distances between them. How many pairs of trees have the same distance between them as the first pair of trees?"} {"instruction": "A chat. There are 50 red marbles and 50 blue marbles in a bag. You need to draw marbles without looking until you have drawn 5 marbles of the same color. What is the maximum number of marbles you could draw before reaching this goal?"} {"instruction": "A chat. Sarah is twice as old as her brother Tom. Five years ago, she was three times as old as Tom. How old is Sarah now?"} {"instruction": "A chat. A car travels from City A to City B at an average speed of 60 miles per hour and then returns to City A at an average speed of 40 miles per hour. If the total travel time for the round trip is 10 hours, what is the distance between City A and City B?"} {"instruction": "A chat. A company has an annual revenue of $1,200,000 and spends $900,000 on expenses. What is the company's profit margin as a percentage?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 km/h. The distance between the two towns is 240 km. If it takes the train 2 hours to travel halfway between the two towns, how long will it take for the train to reach Town B?"} {"instruction": "A chat. You have 50 coins totaling $1.00. What are the coins? Show your step-by-step thought process."} {"instruction": "A chat. A car travels at an average speed of 50 mph for 4 hours, then increases its speed to 70 mph for another 2 hours. What was the car's average speed during the entire trip?"} {"instruction": "A chat. In a town, half of the population owns cats, one-third owns dogs, and one-fourth owns birds. Is it possible for everyone in the town to own at least one pet?"} {"instruction": "A chat. There are 5 houses in a row, each painted a different color. The green house is next to the white house. The red house is in the middle. The blue house is at one end, and the yellow house is next to the blue house. What color is the house at the other end?"} {"instruction": "A chat. A shipping company wants to optimize its cargo loading process for a fleet of container ships. Each ship has a maximum weight capacity of 50,000 tons and can hold up to 3,000 containers. The average weight of a loaded container is 15 tons, but some containers may weigh up to 25 tons. Determine the minimum and maximum number of containers that can be loaded onto a single ship without exceeding the weight limit, taking into account variations in container weights. Explain your reasoning.\n"} {"instruction": "A chat. A store offers a discount on an item with an original price of $200. The discount rate is 15%. What is the final price after applying the discount?"} {"instruction": "A chat. A factory produces 10,000 plastic bottles per day. Each bottle weighs 50 grams. If the factory operates for 300 days a year, how many metric tons of plastic does it use annually?"} {"instruction": "A chat. A baker uses 3 eggs for each cake she bakes. Yesterday, she used up all her eggs and baked as many cakes as possible. If she had started with two dozen eggs, how many cakes did she bake? Explain your steps."} {"instruction": "A chat. In a village, there are 10 houses. Each house has at least one cat. If no two houses have the same number of cats and the total number of cats in the village is 55, how many cats does the house with the most cats have?"} {"instruction": "A chat. A car travels 100 miles in 2 hours, then stops for gas for 30 minutes, and finally drives another 50 miles in 1 hour. How many birds are in the sky?"} {"instruction": "A chat. A company produces widgets at a cost of $8 per widget. They sell each widget for $12. If they have fixed costs of $2,000 per month, how many widgets do they need to sell in one month to break even?"} {"instruction": "A chat. If every person on Earth participated in a single-elimination rock-paper-scissors tournament, where each match consists of one game and the loser is eliminated, how many games would be played to determine the winner?"} {"instruction": "A chat. A rectangular garden has a length of 15 meters and a width of 10 meters. If the owner wants to increase the area by 50% by only increasing the length, what will be the new length?"} {"instruction": "A chat. A rectangular garden has a length of 12 meters and a width of 8 meters. The owner wants to increase the area of the garden by extending its length and width equally. If the new area is 50% larger than the original area, what will be the dimensions of the extended garden?"} {"instruction": "A chat. In a small town, there are 20 houses on one side of the street and 30 houses on the other side. Every house has a dog, except for two houses that have cats instead. How many dogs are in the town?"} {"instruction": "A chat. (4^2 + 9) / (3 * 5 - 12) ="} {"instruction": "A chat. An airline wants to optimize its flight schedule between two cities, offering hourly flights from 6 am to 11 pm. Each flight has a capacity of 150 passengers, and the average occupancy rate is 80%. The airline wants to increase its revenue by offering more flights during peak hours (9 am to 12 pm and 4 pm to 7 pm) without adding extra planes to its fleet. Determine the new flight schedule and calculate the potential increase in revenue, assuming each ticket costs $200.\n"} {"instruction": "A chat. Mary had 10 cookies and gave half to her friend Jane. How many ice cream cones does Mary have left?"} {"instruction": "A chat. A factory produces 500 units per hour. If it operates for 16 hours a day, how many units does it produce in one week?"} {"instruction": "A chat. A deck of cards has 52 cards, consisting of 4 suits (hearts, diamonds, clubs, spades) with 13 cards per suit. What is the probability of drawing a heart or a face card (jack, queen, king) from a standard deck?"} {"instruction": "A chat. A store sells apples for $1.50 each and oranges for $0.75 each. If someone buys 4 apples and 6 oranges, what percentage of their total spending was on apples?"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 15 meters. If you want to build a fence around it with an additional 1-meter buffer on all sides, what will be the perimeter of the fenced area?"} {"instruction": "A chat. A train leaves from New York City heading towards Los Angeles at 100 mph. Three hours later, a train leaves Los Angeles heading towards New York City at 200 mph. If the distance between the two cities is 3000 miles, when do the trains meet?"} {"instruction": "A chat. A factory produces 1000 widgets per hour. Each widget has a 2% chance of being defective. How many non-defective widgets would be produced in an 8-hour workday?"} {"instruction": "A chat. A computer takes 5 hours to process 10 gigabytes of data. How long will it take to process 40 gigabytes of data?"} {"instruction": "A chat. If a store sells 20 items per day at an average price of $15, how much more revenue would the store generate if it increased its sales by 25% and raised the average price to $18?"} {"instruction": "A chat. A box contains 6 red balls, 4 blue balls, and 5 green balls. What is the probability of drawing two red balls in a row without replacement?"} {"instruction": "A chat. In a classroom, there are 15 boys and 10 girls. Each boy has 2 brothers and each girl has 1 sister. How many children are there in total in the families of these students? Include your logic."} {"instruction": "A chat. If you drive at an average speed of 60 miles per hour for 4 hours, how far will you travel?"} {"instruction": "A chat. There are 5 people in a room, including you. You shake hands with everyone else once. Then each person shakes hands with everyone else once as well. How many handshakes occurred in total?"} {"instruction": "A chat. In a class, there are 20 students. Among them, 12 students play soccer, and 8 students play basketball. If every student plays at least one sport, how many students play both soccer and basketball?"} {"instruction": "A chat. A cylindrical water tank has a radius of 5 meters and a height of 10 meters. How many liters of water can it hold when filled to capacity?"} {"instruction": "A chat. If a car factory produces 250 cars per day, how many cars will it produce in a non-leap year?"} {"instruction": "A chat. A large corporation wants to improve employee health and productivity by offering subsidized gym memberships to all employees. There are currently 10,000 employees working at the company, with an estimated 60% participation rate in the program. Gym memberships cost $50 per month per employee, but the company plans to subsidize 75% of this cost. Calculate the annual cost of the program for the company and determine if it would be more cost-effective to build an on-site fitness center, which has an estimated construction cost of $2 million and annual operating expenses of $250,000.\n"} {"instruction": "A chat. A spherical ball has a surface area of 314 square centimeters. What is the radius of the ball in centimeters?"} {"instruction": "A chat. If a farmer has 20 pigs and chickens in total, and they have a combined total of 56 legs, how many pigs and how many chickens does the farmer have?"} {"instruction": "A chat. In a certain city, it rains every third day. What is the probability that it will rain exactly three times in a week?"} {"instruction": "A chat. In a village, there are 10 families. Each family has at least one child. If each family with only one child adopts another child, the total number of children in the village will double. How many children are there currently in the village?"} {"instruction": "A chat. Using Newton's second law of motion, calculate the force required to accelerate a 10 kg object at a rate of 5 m/s^2. Show your work.\n"} {"instruction": "A chat. A city is implementing a waste management program to reduce landfill usage. The city generates 1 million tons of waste annually, with 40% being recyclable materials, 30% compostable, and 30% non-recyclable. The city aims to increase recycling and composting rates by 15% within two years. Calculate the amount of waste diverted from landfills after achieving this goal and determine the reduction in landfill usage percentage.\n"} {"instruction": "A chat. If a train travels at an average speed of 60 miles per hour and takes 8 hours to reach its destination, how far is the destination?"} {"instruction": "A chat. A company has an annual revenue of $1,200,000. The cost of goods sold (COGS) is 60% of the revenue, and operating expenses account for another 20%. What is the company's net income?"} {"instruction": "A chat. In a game, each player scores either 3 or 5 points per turn. After several turns, the total score is 29 points. How many turns were taken?"} {"instruction": "A chat. In a bag, there are 4 red balls, 3 blue balls, and 2 green balls. If you draw two balls at random without replacement, what is the probability that both balls will be red?"} {"instruction": "A chat. If it takes 8 men 10 hours to build a wall, how long would it take 4 men to build the same wall?"} {"instruction": "A chat. A company has 100 employees. If 60% of the employees are male and 25% of the males have a college degree, how many female employees have a college degree if the overall percentage of employees with a college degree is 35%?"} {"instruction": "A chat. A sequence is defined by the recursive formula T(n) = T(n-1) + n^2, where T(1) = 1. What is the value of T(4)?"} {"instruction": "A chat. If it takes 10 minutes to boil an egg, how long does it take to boil 5 eggs? Explain like I'm five."} {"instruction": "A chat. A committee of 5 people needs to be formed from a group of 9 men and 7 women. How many different committees can be formed if at least 3 women must be on the committee?"} {"instruction": "A chat. A factory produces 500 units of product A per day at a cost of $20 per unit. The factory also incurs fixed costs of $2000 per day for rent and utilities. If the factory sells each unit of product A for $30, how many days will it take for the factory to earn a profit of $10,000?"} {"instruction": "A chat. In a bag, there are 4 red balls, 6 blue balls, and 10 green balls. What is the probability of picking a red ball or a blue ball from the bag?"} {"instruction": "A chat. (8^2 - 4) / (12 - 3 * 2) ="} {"instruction": "A chat. A car rental company has 100 cars available for rent. The daily rate for renting a compact car is $25, while the daily rate for renting a luxury car is $60. If all the cars were rented out in one day, the total revenue would be $3,800. How many compact cars and luxury cars does the company have?"} {"instruction": "A chat. A zoo is planning to build a new exhibit for its collection of exotic birds. The exhibit will consist of five large aviaries, each with a capacity of 100 birds. The construction cost for each aviary is $250,000, and there is an additional annual maintenance cost of $50,000 per aviary. Calculate the total initial investment required to build the exhibit, as well as the annual maintenance costs. Additionally, estimate the number of daily visitors needed to cover these expenses within two years, assuming an average ticket price of $20 per visitor."} {"instruction": "A chat. A store sells apples for $1.50 per pound. If a customer buys 6 pounds of apples, how much do they spend on apples?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 mph. The distance between the two towns is 180 miles. If the train leaves Town A at 2:00 PM and there is a time difference of 30 minutes between the two towns (Town B being ahead), what is the local time in Town B when the train arrives?"} {"instruction": "A chat. A factory produces 200 widgets per hour. Due to a malfunction, every 50th widget produced is defective. How many non-defective widgets are produced in an 8-hour shift?"} {"instruction": "A chat. A box contains 6 black socks and 4 white socks. In complete darkness, how many socks must you take out to be sure that you have at least one pair of the same color?"} {"instruction": "A chat. A man gives his son $100 and tells him he can spend it on 100 animals at a pet store. The store sells dogs for $15 each, cats for $1 each, and rabbits for $0.25 each. The boy must buy at least one of each animal type. How many of each animal should the boy buy to spend exactly $100?"} {"instruction": "A chat. Solve the equation 5x - 3 = 17, providing step-by-step explanations.\n"} {"instruction": "A chat. A train leaves Station A at 9:00 AM and travels towards Station B at a constant speed of 60 mph. Another train leaves Station B at 9:30 AM and travels towards Station A at a constant speed of 90 mph. The distance between the stations is 300 miles. At what time will the trains pass each other?"} {"instruction": "A chat. A telecommunications company is upgrading its network infrastructure to improve coverage and data speeds. They plan to install 500 new cell towers across the country within the next year. Each tower costs $150,000 to build and requires annual maintenance costs of $10,000. Calculate the initial investment required for the project and estimate the total maintenance costs over a 10-year period. Also, determine how many towers need to be installed each month to meet the one-year deadline. Provide step-by-step reasoning.\n"} {"instruction": "A chat. Sarah has 15 oranges. She trades 5 oranges for 10 apples. How many pineapples does she have left?"} {"instruction": "A chat. A hotel chain wants to analyze its room occupancy rates to optimize pricing strategies. The chain has a total of 10,000 rooms across all locations, with an average nightly rate of $150. During peak season, the occupancy rate is 90%, while during the off-season, it drops to 60%. Calculate the total annual revenue for the hotel chain, considering that peak season lasts for four months and the off-season lasts for eight months. Explain your reasoning.\n"} {"instruction": "A chat. Solve: (6 / (2 * (1 + 2)) - 3) * 4 ="} {"instruction": "A chat. A box contains 4 red balls and 6 blue balls. You draw two balls from the box without replacement. What is the probability that you draw one ball of each color?"} {"instruction": "A chat. A restaurant serves 100 meals in an hour during its peak time. How many meals does it serve in a week assuming it operates 10 hours a day and is open 7 days a week? Show your work."} {"instruction": "A chat. A snail starts climbing a 10-foot wall at noon. It climbs at a rate of 3 feet per hour, but every time it reaches the top, it slides back down 2 feet before starting to climb again. How many hours will it take for the snail to reach the top and stay there?"} {"instruction": "A chat. A company produces 5000 units of a product every month. The production cost for each unit is $20, and they sell each unit for $35. What is their profit margin percentage on each unit sold?"} {"instruction": "A chat. There are 120 students in a school. If 40% of the students play soccer, 30% play basketball, and 20% play both soccer and basketball, what percentage of students do not play either sport?"} {"instruction": "A chat. A city is planning to revamp its public parks by adding more green spaces and recreational facilities. There are currently ten parks in the city, covering a combined area of 500 acres. The city wants to increase the total park area by 20% and add new amenities such as playgrounds, sports courts, and picnic areas. Estimate the cost of this project, assuming that acquiring new land costs $50,000 per acre, and developing each acre with the desired amenities costs an additional $100,000.\n"} {"instruction": "A chat. How many times will the Earth rotate around its axis in 1000 years, considering leap years?"} {"instruction": "A chat. There are 4 apples and 6 oranges in a basket. If you randomly pick one fruit, eat it, and then pick another fruit without looking, what is the probability that both fruits picked were oranges?"} {"instruction": "A chat. A store sells two types of pens: blue ink pens and black ink pens. For every 3 blue ink pens sold, 5 black ink pens are sold. If a total of 40 pens were sold today, how many blue ink pens were sold?"} {"instruction": "A chat. A jar contains 5 red marbles, 8 blue marbles, and 12 green marbles. If you draw two marbles without replacement, what is the probability that both marbles are red?"} {"instruction": "A chat. A software development company is considering launching a new subscription-based product. They estimate that they can attract 10,000 subscribers within the first year, with an annual growth rate of 25% over the next five years. The subscription fee is $100 per user per year. However, the company needs to invest $2 million upfront in research and development, as well as an additional $500,000 per year in ongoing support and maintenance costs. Determine the net profit generated by this product over a 5-year period.\n"} {"instruction": "A chat. If a store has 3 different types of apples and 4 different types of oranges, how many different ways can you buy one apple and one orange?"} {"instruction": "A chat. An empty bus arrives at a station. 15 people get on. At the next stop, half of the passengers get off and 5 more get on. How many people are now on the bus? Reason step-by-step."} {"instruction": "A chat. If a car is traveling at a constant speed of 65 mph, how long will it take to cover a distance of 325 miles?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 10 feet and a height of 12 feet. What is its volume in gallons?"} {"instruction": "A chat. If you fill a swimming pool with a volume of 15,000 gallons at a rate of 20 gallons per minute, how long will it take to fill the pool completely?"} {"instruction": "A chat. If a car is traveling at a constant speed of 50 miles per hour, how long will it take to cover a distance of 250 miles?"} {"instruction": "A chat. There are 5 people in a room, including Tom and Jane. If everyone shakes hands with each other exactly once, how many handshakes occur?"} {"instruction": "A chat. A large hotel chain is analyzing its water consumption to identify potential areas for improvement and cost savings. The hotel has 500 rooms, with an average occupancy rate of 80%. Each guest uses an average of 75 gallons of water per day for showering, washing hands, flushing toilets, etc. Calculate the total daily water consumption for the hotel and estimate the potential savings if they can reduce water usage by 10% through various conservation measures. Provide step-by-step reasoning.\n"} {"instruction": "A chat. You have 40 candies. You give half of them to your friend. Then you eat 10 of what you have left. How many candies do you have now? Include your logic."} {"instruction": "A chat. If a factory produces 1500 units of product A in 25 days, how many units will it produce in one year, assuming the production rate remains constant and there are no holidays or weekends?"} {"instruction": "A chat. If you drive at a constant speed of 60 miles per hour for 2 hours and 30 minutes, how far will you have traveled?"} {"instruction": "A chat. A school has 1200 students. If 60% of these students participate in sports activities and 40% participate in arts activities, how many students are involved in both sports and arts activities if there is an overlap of 20%?"} {"instruction": "A chat. There are 12 apples on a table. You take away 4 apples and then add 3 more apples to the table. How many apples were originally on the table before you took any away?"} {"instruction": "A chat. In a small town, there are 5 houses in a row. Each house is painted a different color and has a resident with a unique profession. The teacher lives in the red house. The artist lives next to the blue house. The doctor lives in the first house. The green house is between the yellow and blue houses. Who lives in the yellow house?"} {"instruction": "A chat. In a town, there are 50 houses. Each house has a number from 1 to 50. There is a rule that no two neighboring houses can have consecutive numbers. House number 50 is at the end of the street and has only one neighbor. How many neighbors does house number 1 have? Explain your reasoning."} {"instruction": "A chat. In an election, candidate A received 55% of the total votes, while candidate B received 40%. The remaining 5% were invalid or blank votes. If there were 20,000 valid votes cast for both candidates combined, how many more votes did candidate A receive than candidate B?"} {"instruction": "A chat. A store sells 5 different types of fruit, and you want to buy at least one piece of each type. In how many ways can you choose exactly 12 pieces of fruit?"} {"instruction": "A chat. A group of friends wants to split a pizza evenly among themselves. If they order a large pizza with a diameter of 18 inches, how many square inches of pizza does each person get if there are 6 people in the group?"} {"instruction": "A chat. A water tank has a capacity of 10,000 liters and is currently empty. Two pipes can fill the tank: Pipe A fills at a rate of 25 liters per minute, while Pipe B fills at a rate of 40 liters per minute. If both pipes work simultaneously, how long will it take to fill the tank completely?"} {"instruction": "A chat. Determine the derivative of the function g(x) = 5x^3 - 7x^2 + 2x - 8 using calculus techniques. Provide step-by-step instructions.\n"} {"instruction": "A chat. If a bookshelf contains 5 books of English, 7 books of Mathematics and 3 books of Science. How many ways can you arrange the books such that all books of the same subject are always together?"} {"instruction": "A chat. A box contains 3 red balls, 4 blue balls, and 5 green balls. If you draw 3 balls from the box without replacement, what is the probability that you draw one ball of each color?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the two towns is 300 miles. If the train takes 6 hours to complete the journey, what would be its speed if it took only 4 hours?"} {"instruction": "A chat. In a village, there are 50 houses. Each house has at least one cat and no more than three cats. If the total number of cats in the village is exactly 100, how many houses have three cats?"} {"instruction": "A chat. A box contains 8 red balls, 6 blue balls, and 4 green balls. What is the minimum number of balls you must draw from the box without looking to guarantee that you have at least two balls of the same color?"} {"instruction": "A chat. If you were to drive around the Earth's equator at an average speed of 80 kilometers per hour (km/h), how long would it take to complete the journey?"} {"instruction": "A chat. If every cat has 7 kittens, and each kitten grows up to have 7 kittens of their own, how many total kittens will there be if you start with 5 cats?"} {"instruction": "A chat. A train travels from City A to City B at a speed of 60 mph and returns at a speed of 80 mph. What is the average speed for the entire trip?"} {"instruction": "A chat. A farmer has 50 acres of land on which he plants corn and wheat. He allocates 60% of the land for corn and the rest for wheat. If each acre of corn yields 120 bushels and each acre of wheat yields 80 bushels, what is the total yield in bushels from both crops?"} {"instruction": "A chat. Prove that the function f(x) = x^3 - 3x + 2 is continuous at x = 1, using the definition of continuity.\n"} {"instruction": "A chat. In a village, there are 10 houses. Each house has at least one cat. If no two cats in the village have the same number of kittens and the total number of kittens is 55, what is the minimum number of cats in the village?"} {"instruction": "A chat. In a family of 6 people, there are two sets of twins. One set is identical and the other set is fraternal. The identical twins have brown eyes, while the fraternal twins have one with blue eyes and one with green eyes. If we know that at least one person in the family has hazel eyes, how many possible combinations of eye colors can the remaining two family members have?"} {"instruction": "A chat. There are 8 apples on the table. John takes away 3 apples, and Mary takes away 2 apples. How many apples does Peter have?"} {"instruction": "A chat. A company sells two products, A and B. Product A is sold for $100 and has a production cost of $70, while product B is sold for $150 and has a production cost of $90. If the company sells 200 units of product A and 100 units of product B in one month, what is their total profit for that month?"} {"instruction": "A chat. Given a dataset with a normal distribution, explain how you would use hypothesis testing to determine whether there is a significant difference between two sample means.\n"} {"instruction": "A chat. A store offers a discount on bulk purchases such that for every 10 items bought, you get a 5% discount on your total purchase. How much would you save if you buy 50 items worth $8 each?"} {"instruction": "A chat. In a game, you have a 1/3 chance of winning $15, a 1/4 chance of winning $20, and a 1/2 chance of losing $10. What is your expected value for playing this game?"} {"instruction": "A chat. In a game, a player can earn points by collecting coins and completing levels. Each coin is worth 10 points, and each level completed is worth 100 points. If a player collects 25 coins and completes 3 levels, what is their total score?"} {"instruction": "A chat. If a person consumes 2,000 calories per day and burns 500 calories through exercise, how many days will it take for them to lose one pound of body weight, assuming they maintain this routine?"} {"instruction": "A chat. There are 25 red balls and 15 blue balls in a box. You need to draw two balls at random without replacement. What is the probability that both balls will be red?"} {"instruction": "A chat. If you roll two six-sided dice, what is the probability of getting a sum of 7?"} {"instruction": "A chat. There are 4 apples and 6 oranges in a basket. Alice takes out an apple, eats it, and then puts the core back into the basket. She does this for all the apples. How many fruits are left in the basket?"} {"instruction": "A chat. You are given a right triangle with legs measuring 8 and 15. What is the measure of the hypotenuse?"} {"instruction": "A chat. If you invest $10,000 at an annual interest rate of 4%, compounded quarterly, how much will your investment be worth after 3 years?"} {"instruction": "A chat. If you drive at a constant speed of 55 miles per hour for 3.5 hours, how far will you travel?"} {"instruction": "A chat. If a family consumes 15 gallons of water per day, how much water do they consume in a year? Show your calculations."} {"instruction": "A chat. There are 7 apples on the table and you take away 3. How many do you have now? Provide reasoning."} {"instruction": "A chat. What is the sum of all prime numbers between 10 and 50?"} {"instruction": "A chat. A rectangular garden has a length of 25 feet and a width of 10 feet. If the owner wants to expand the garden by increasing both the length and width by 2 feet, what will be the new area of the garden?"} {"instruction": "A chat. A rectangular room has a length of 12 feet and a width of 8 feet. If you want to cover the entire floor with square tiles measuring 2 feet on each side, how many tiles will you need?"} {"instruction": "A chat. Compute the limit as x approaches infinity of (x^2 + 1)/(x^2 - 1)."} {"instruction": "A chat. If a car has 4 tires and each tire needs to be replaced every 50,000 miles, how many total miles can the car drive before all of its original tires have been replaced twice? Show your reasoning."} {"instruction": "A chat. In a small town, there are 10 houses on one side of the street and 15 houses on the other side. Every house has a dog. The dogs from the houses on one side of the street only bark at night, while the dogs from the houses on the other side only bark during the day. If it's daytime and you hear barking, how many dogs are barking?"} {"instruction": "A chat. A train leaves from Town A to Town B at 60 mph. At the same time, another train leaves from Town B to Town A at 80 mph. The distance between the two towns is 420 miles. How far apart will the trains be when they pass each other?"} {"instruction": "A chat. Solve: 3x - 7 = 2x + 5"} {"instruction": "A chat. If a rectangle has a length of 15 meters and a width of 8 meters, what is its area and perimeter?"} {"instruction": "A chat. An educational institution wants to improve its student retention rate by offering additional support services, such as tutoring and academic counseling. They currently have 10,000 students enrolled, with a retention rate of 85%. Their goal is to increase the retention rate to 90% within three years. Determine the number of additional support staff needed to achieve this goal, assuming that each staff member can provide support to 100 students and that hiring one new staff member costs $50,000 annually (including salary and benefits)."} {"instruction": "A chat. In an election, candidate A received 45% of the votes, candidate B received 35%, and candidate C received the remaining 20%. If there were a total of 50,000 eligible voters, how many more votes did candidate A receive than candidate B?"} {"instruction": "A chat. In a village, there are 50 houses. Each house has a dog living in it. Every day, each dog barks at exactly two other dogs from different houses. How many times do the dogs bark in total?"} {"instruction": "A chat. An airline wants to determine the optimal number of flights between two cities to maximize profit. They have calculated that each flight generates an average revenue of $25,000, while the variable cost per flight (including fuel, crew, and maintenance) is $15,000. However, they also incur a fixed cost of $1 million per month for airport fees and other expenses. Calculate the break-even point in terms of the number of flights needed to cover their fixed costs, as well as the monthly profit generated if they operate 200 flights per month.\n"} {"instruction": "A chat. A train travels from Town A to Town B in 4 hours at an average speed of 80 km/h. It then continues its journey to Town C, which is twice as far away from Town B as Town A is from Town B. How long does it take for the train to travel from Town A to Town C?"} {"instruction": "A chat. A city is considering implementing a congestion pricing scheme to reduce traffic and improve air quality. The proposal involves charging drivers a fee to enter certain areas of the city during peak hours. Estimate the potential revenue generated from this scheme, taking into account the number of vehicles entering the designated zones, the proposed fee structure, and potential changes in driver behavior. Also, consider the costs associated with implementing and enforcing the congestion pricing system.\n"} {"instruction": "A chat. A company sells 3 types of products - X, Y, and Z. They sell 200 units of product X at a profit of $15 per unit, 150 units of product Y at a profit of $25 per unit, and 100 units of product Z at a profit of $40 per unit. What percentage of the total profit comes from product Y?"} {"instruction": "A chat. A national park is planning to improve its infrastructure by building new visitor centers, hiking trails, and campgrounds. The park has a budget of $10 million for these improvements. Each visitor center costs $1 million to build, each mile of hiking trail costs $50,000, and each campground costs $250,000. The park wants to construct at least 3 visitor centers, 100 miles of hiking trails, and 10 campgrounds. Determine the optimal allocation of funds to achieve these goals while staying within the budget. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A store sells three types of fruit: apples, oranges, and bananas. Apples cost $2 per pound, oranges cost $3 per pound, and bananas cost $1 per pound. If a customer buys 4 pounds of apples, 5 pounds of oranges, and 6 pounds of bananas, how much will they spend in total?"} {"instruction": "A chat. A farmer sells apples at a local market. He sells small apples for $1 each and large apples for $2 each. One day, he sells a total of 100 apples and makes $150. How many small apples and large apples did he sell?"} {"instruction": "A chat. Solve the following equation for x: 3x + 7 = 22. Explain each step in solving the equation.\n"} {"instruction": "A chat. A man has 53 socks in his drawer: 21 identical blue ones, 15 identical black ones, and 17 identical red ones. The room is dark, and he cannot see the colors of the socks. What is the minimum number of socks he needs to take out to ensure he has at least one matching pair?"} {"instruction": "A chat. A company has two factories producing widgets. Factory A produces 300 widgets per hour with a defect rate of 2%, while Factory B produces 200 widgets per hour with a defect rate of 4%. If both factories operate for 8 hours, how many non-defective widgets will they produce together?"} {"instruction": "A chat. A farmer has chickens and cows on his farm. He counts a total of 30 heads and 86 legs. How many chickens does he have?"} {"instruction": "A chat. A train travels at a constant speed of 45 mph for 4 hours and then stops for 30 minutes before continuing its journey at a constant speed of 60 mph for another 3 hours. What is the total distance traveled by the train?"} {"instruction": "A chat. A large supermarket chain wants to optimize its supply chain by building regional distribution centers (RDCs) across the country. Each RDC can serve up to 100 stores within a 200-mile radius. The company currently operates 500 stores nationwide and plans to open an additional 250 stores over the next five years. Determine the optimal number and location of RDCs needed to minimize transportation costs and delivery times while ensuring adequate inventory levels at all stores.\n"} {"instruction": "A chat. A rectangular garden has a length of 15 meters and a width of 8 meters. If the owner wants to increase the area of the garden by 50%, how much should they extend the length or the width?"} {"instruction": "A chat. How many different ways can a committee of 5 people be formed from a group of 10 people, if one specific person must be included in the committee?"} {"instruction": "A chat. A box contains 10 apples and 15 oranges. If you randomly pick 6 fruits from the box, what is the probability that you will have exactly 4 apples and 2 oranges?"} {"instruction": "A chat. There are 25 sheep in a field. Every time you count them, you always miss one. How many sheep do you actually count?"} {"instruction": "A chat. An airline company is planning to expand its flight routes and needs to determine the optimal number of planes to purchase based on projected demand. The company currently operates 20 planes, each with a seating capacity of 200 passengers. They expect a 15% increase in passenger demand over the next five years. Considering maintenance schedules, fuel costs, and crew availability, provide a detailed analysis of how many additional planes the company should purchase and any other factors they should consider during expansion.\n"} {"instruction": "A chat. A computer takes 2 hours to process a dataset of 1000 records. How long would it take to process 5000 records?"} {"instruction": "A chat. A train travels at a constant speed of 60 km/h. It takes 30 minutes for the train to travel between two stations. What is the distance between these two stations?"} {"instruction": "A chat. A train travels from City A to City B at an average speed of 90 km/h and then returns to City A at an average speed of 120 km/h. If the round trip takes 8 hours, what is the distance between City A and City B?"} {"instruction": "A chat. A company has a starting capital of $10,000. If it invests this amount in a project with an annual interest rate of 8%, compounded quarterly, how much will the investment be worth after 2 years?"} {"instruction": "A chat. A box contains 8 red balls, 5 blue balls, and 7 green balls. If you draw three balls at random without replacement, what is the probability that you will get exactly one ball of each color?"} {"instruction": "A chat. Solve the following quadratic equation by factoring: x^2 - 5x + 6 = 0. Show your work.\n"} {"instruction": "A chat. Two trains are traveling towards each other at constant speeds. Train A is traveling at 60 mph and Train B is traveling at 40 mph. They are currently 300 miles apart. How long will it take for them to meet?"} {"instruction": "A chat. A factory produces 500 units of product per day. If each unit sells for $30, how much revenue does the factory generate in one week (7 days)? Explain your reasoning.\n"} {"instruction": "A chat. A bakery needs to determine the optimal production levels for its various products to maximize profits. The bakery produces three types of pastries: croissants, muffins, and cookies. Each croissant requires 0.1 kg of flour, each muffin requires 0.05 kg of flour, and each cookie requires 0.02 kg of flour. The bakery has a daily supply of 100 kg of flour. The profit margins are as follows: $1 per croissant, $0.50 per muffin, and $0.25 per cookie. Determine the optimal number of each pastry type to produce daily to maximize profits, taking into account the available flour supply. Explain your reasoning.\n"} {"instruction": "A chat. A jar contains 6 red marbles and 4 blue marbles. If you draw two marbles at random without replacement, what is the probability that both marbles are red?"} {"instruction": "A chat. In a certain village, half of the villagers have blue eyes, one-third have green eyes, and the rest have brown eyes. If there are 60 villagers with green eyes, how many villagers have brown eyes?"} {"instruction": "A chat. In a small town, there are 5 barbers. Each barber claims that they only shave those who do not shave themselves. Who shaves the fifth barber?"} {"instruction": "A chat. There are 5 houses in a row, each painted a different color. The green house is next to the white house. The red house is not next to the blue house. If the yellow house is at one end of the row, which house is in the middle?"} {"instruction": "A chat. A large retail chain wants to optimize its inventory management system by implementing a just-in-time (JIT) approach. They currently have 1000 stores nationwide, each carrying an average of 10,000 unique products. On average, each store sells 500 units per product per month, with a lead time of two weeks for replenishment. Calculate the optimal order quantity for each product under the JIT system, assuming that the company aims to minimize stockouts while maintaining a safety stock level equivalent to one week's worth of sales.\n"} {"instruction": "A chat. A train travels between two cities every day. The distance between the cities is 150 miles. If the train takes 3 hours to complete the journey, what is its average speed?"} {"instruction": "A chat. A committee of 5 people needs to be formed from a group of 9 men and 6 women. What is the probability that the committee will have at least 3 women?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding electric buses to its fleet. The city currently has 100 diesel buses, each with a capacity of 50 passengers. They want to replace 30% of the diesel buses with electric ones, which have a capacity of 60 passengers. Calculate the total passenger capacity of the new mixed fleet and compare it to the current capacity. Also, estimate the cost savings in fuel consumption if an electric bus consumes $0.10 per mile while a diesel bus consumes $0.25 per mile, considering that each bus travels an average of 200 miles per day.\n"} {"instruction": "A chat. In a class of 40 students, the ratio of boys to girls is 3:5. How many boys and girls are there in the class?"} {"instruction": "A chat. In a small town, every man has a unique name. Half of the men in the town have a beard. If John is one of the bearded men, how many men in the town do not have a beard?"} {"instruction": "A chat. A rectangular garden measures 30 feet by 50 feet. What is the area of this garden in square meters?"} {"instruction": "A chat. A train leaves Town A at 60 mph heading towards Town B, which is 180 miles away. At the same time, another train leaves Town B heading towards Town A at 40 mph. How far apart are the two trains after 2 hours?"} {"instruction": "A chat. A group of people decides to split the cost of renting a boat equally among themselves. If there are 12 people in the group and the boat rental costs $600, how much does each person pay if three more people join the group before paying?"} {"instruction": "A chat. There are four friends named Alice, Bob, Carol, and Dave. They each have a different favorite fruit among apples, bananas, cherries, and dates. Alice likes cherries more than bananas. Bob dislikes apples but likes dates more than cherries. Carol likes apples more than any other fruit. What is Dave's favorite fruit?"} {"instruction": "A chat. An event management company is organizing a music festival with multiple stages and performances. They need to calculate the total cost of setting up the stages, sound systems, lighting equipment, and other infrastructure. Stage setup costs vary based on size: small stages ($10,000), medium stages ($20,000), and large stages ($40,000). Sound system costs are $5,000 per stage, and lighting equipment costs are $3,000 per stage. Calculate the total cost for setting up 5 small stages, 3 medium stages, and 2 large stages, and determine how much can be spent on marketing and artist fees if the company wants to maintain a 25% profit margin."} {"instruction": "A chat. You have a basket containing 50 apples. You give away 2 apples to each friend you meet. After meeting 7 friends, how many apples do you have left? Include your logic."} {"instruction": "A chat. How many ways can you arrange the letters in the word \"TENNESSEE\"? Include your logic."} {"instruction": "A chat. In a family of 5 children, the oldest child is twice as old as the youngest. The second oldest child is half the age of the oldest. The middle child is 3 years younger than the oldest. The fourth child is 2 years older than the youngest. How old is the sum of all their ages if the youngest is 6 years old?"} {"instruction": "A chat. In a small town, there are 20 houses on one side of the street and 30 houses on the other side. If every house has at least two residents, what is the minimum number of people living in this street?"} {"instruction": "A chat. If a car is traveling at a constant speed of 50 miles per hour, how long will it take to cover a distance of 375 miles?"} {"instruction": "A chat. Determine the eigenvalues and eigenvectors of matrix A = [[3, -1], [2, 0]]."} {"instruction": "A chat. A man has two children. When asked about his children's ages, he responds: \"The product of their ages is 72 and the sum of their ages is the same as my house number.\" The friend knows the man's house number but still can't determine the children's ages. He asks for another clue, and the man says, \"My older child likes strawberries.\" How old are the children? Explain your thought process."} {"instruction": "A chat. A train travels 300 miles in 5 hours. If it maintains the same speed, how long will it take to travel 450 miles?"} {"instruction": "A chat. A train travels from Town A to Town B in 4 hours. Another train travels from Town B to Town C in 6 hours. If both trains travel at the same speed, which distance is longer: Town A to Town B or Town B to Town C?"} {"instruction": "A chat. A man has three daughters. Each daughter has two brothers. How many sons does the man have?"} {"instruction": "A chat. A store sells pencils in packs of 4 and pens in packs of 3. If Tom buys 3 packs of pencils and 2 packs of pens, how many writing instruments does he have in total?"} {"instruction": "A chat. Use Green's theorem to evaluate a line integral around a closed curve, providing step-by-step reasoning."} {"instruction": "A chat. If a factory produces 1200 units of product A and 800 units of product B in one day, what percentage of the total production is product A?"} {"instruction": "A chat. A train leaves a station and travels east at 60 mph. At the same time, another train leaves the same station and travels west at 80 mph. How far apart are the two trains after 3 hours?"} {"instruction": "A chat. There are 12 apples in a basket. Half of the apples are green, one-third are red, and the rest are yellow. How many yellow apples are there?"} {"instruction": "A chat. A rectangular garden has a length of 20 feet and a width of 15 feet. If a gardener wants to plant flowers along the perimeter of the garden with each flower being planted every 2 feet, how many flowers will be needed?"} {"instruction": "A chat. There are 5 boxes in a room, each containing a different number of apples. Box A has 3 more apples than Box B. Box C has twice as many apples as Box D. Box E has 4 fewer apples than Box A. If there are a total of 50 apples in the room, how many apples does Box D have?"} {"instruction": "A chat. A rectangular garden has a length of 60 meters and a width of 40 meters. If a gardener wants to plant flowers along the perimeter of the garden with one flower every meter, how many flowers will be needed?"} {"instruction": "A chat. In a bag, there are 5 red balls, 7 blue balls, and 8 green balls. If you randomly pick two balls without replacement, what is the probability that both balls will be green?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 miles per hour. The distance between the two towns is 180 miles. If the train makes a stop for 15 minutes at a station halfway through the journey, how long does the entire trip take?"} {"instruction": "A chat. A factory produces 200 units of a product every day. If each unit sells for $30, how much revenue does the factory generate in one week? Explain your reasoning.\n"} {"instruction": "A chat. A box contains red balls and blue balls. If you take two balls at random without replacement, the probability of getting one red ball and one blue ball is 0.5. What could be the total number of balls in the box?"} {"instruction": "A chat. Evaluate the expression (9 / 3 * 5) - 2^3 + 6."} {"instruction": "A chat. A farmer wants to build a rectangular fence around his garden that is 100 feet long and 75 feet wide. How much fencing material does he need to purchase?"} {"instruction": "A chat. A train travels at a constant speed between two cities, City A and City B. The distance between the cities is 300 miles. If the train takes 3 hours to travel from City A to City B, and it takes an additional hour for a passenger to get from their home in City A to the train station, how long does it take for the passenger to travel from their home in City A to City B?"} {"instruction": "A chat. In a town, there are 100 people. 45 of them own cats, and 30 of them own dogs. If 20 people own both cats and dogs, how many people in the town don't own any pets?"} {"instruction": "A chat. If a car travels at a constant speed of 60 miles per hour for 2 hours and then increases its speed to 80 miles per hour for another 1.5 hours, what is the total distance traveled by the car?"} {"instruction": "A chat. If you have a rectangular garden that is 20 feet long and 10 feet wide, how many square feet of soil will you need to cover it with a 6-inch layer of soil?"} {"instruction": "A chat. A hospital is planning to upgrade its medical equipment, including MRI machines, CT scanners, and X-ray machines. The total cost of the upgrades is estimated at $12 million. The hospital receives funding from various sources, including government grants ($4 million), private donations ($3 million), and internal reserves ($2 million). To cover the remaining costs, the hospital needs to secure a loan. Calculate the amount of the loan required and provide a step-by-step explanation.\n"} {"instruction": "A chat. A factory produces 500 units of a product every day for 6 days a week. How many units are produced in 3 weeks?"} {"instruction": "A chat. A class of 25 students took an exam, and the average score was 78%. After discovering that one student's grade was incorrectly recorded as 48% instead of 84%, what is the new class average?"} {"instruction": "A chat. A recipe calls for 1/4 cup of sugar for every 2 cups of flour. How much sugar do you need if you are using 8 cups of flour?"} {"instruction": "A chat. A factory produces 1000 widgets per day. Each widget has a 5% chance of being defective. If a customer buys 50 widgets, what is the approximate probability that they receive at least one defective widget?"} {"instruction": "A chat. If a bee visits 5 flowers in one minute, how many flowers does it visit in one day? Reason step-by-step."} {"instruction": "A chat. In a bag of marbles, there are 3 red marbles for every 5 blue marbles. If there are 24 marbles in total, how many of them are red?"} {"instruction": "A chat. A large hospital wants to improve patient care by reducing wait times in the emergency department. They plan to do this by hiring additional staff and optimizing shift schedules. Currently, there are 100 doctors and nurses working in the emergency department, and the average wait time is 4 hours per patient. The hospital aims to reduce the wait time to 2 hours per patient. Estimate the number of additional staff members needed to achieve this goal, considering that each doctor or nurse works an 8-hour shift and sees an average of 10 patients per shift.\n"} {"instruction": "A chat. How many seconds are there in a leap year?"} {"instruction": "A chat. A restaurant serves 4 types of appetizers, 6 main courses, and 3 desserts. How many different three-course meals (one appetizer, one main course, and one dessert) can a customer order? Explain your thought process."} {"instruction": "A chat. A rectangular garden has a perimeter of 50 meters, and its length is twice its width. What are the dimensions of the garden?"} {"instruction": "A chat. If a committee consists of 3 men and 5 women, how many different subcommittees can be formed if each subcommittee must contain at least one man and one woman?"} {"instruction": "A chat. In a box, there are 20 red balls and 30 blue balls. You randomly pick one ball from the box and then put it back. What is the probability of picking a red ball twice in a row?"} {"instruction": "A chat. There are 10 red balls and 20 blue balls in a bag. You randomly pick one ball from the bag without looking. What is the probability that you will pick a red ball?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 km/h. The distance between the two towns is 240 km. If the train leaves Town A at 9 am, what time will it arrive in Town B?"} {"instruction": "A chat. Evaluate the integral of sin(x) from 0 to pi/2."} {"instruction": "A chat. There are two boxes labeled \"A\" and \"B.\" Box A contains only apples, box B contains only bananas, and both boxes have equal amounts of fruit. You take out one piece of fruit from each box without looking. What is the probability that you took out an apple from box A and a banana from box B?"} {"instruction": "A chat. A train travels at a constant speed from Town A to Town B, which are 300 miles apart. If it takes 3 hours for the train to travel from Town A to Town B, how long will it take for the train to travel halfway back to Town A?"} {"instruction": "A chat. You have two hourglasses: one measures 7 minutes and the other measures 11 minutes. Using only these two hourglasses, how can you measure exactly 15 minutes?"} {"instruction": "A chat. Solve: ((3^2 + 4^2) * 5 - 10) / 2 ="} {"instruction": "A chat. A square garden has a side length of 10 meters. If you walk around the entire perimeter of the garden, how far will you have walked?"} {"instruction": "A chat. If I have 8 cats and each cat has 4 legs, how many dogs do I have?"} {"instruction": "A chat. An airline wants to optimize its flight schedule by determining the ideal number of flights between two cities based on passenger demand and aircraft capacity. The airline has access to three different types of aircraft: small (50 seats), medium (100 seats), and large (200 seats). Passenger demand varies throughout the week, with peak demand on Fridays and Sundays. Determine the optimal mix of aircraft sizes and flight frequencies to maximize revenue while minimizing operational costs. Describe your reasoning.\n"} {"instruction": "A chat. A tank contains a mixture of water and alcohol in the ratio of 5:3. If there are 120 liters of alcohol in the tank, how much water does it contain, and what is the total capacity of the tank?"} {"instruction": "A chat. There are four friends named Alice, Bob, Carol, and Dave. They all live in different cities. We know that:\n- Alice lives farther north than Bob.\n- Carol lives farther east than Dave.\n- Bob lives farther west than Carol.\nWho lives farthest south?"} {"instruction": "A chat. If a rectangular room has an area of 300 square feet and one side measures 15 feet, what is the length of the other side?"} {"instruction": "A chat. A national park plans to introduce a new shuttle service to transport visitors between different attractions within the park. The park expects an average daily visitor count of 3000 people during peak season. Each shuttle can accommodate up to 50 passengers, and the park aims to maintain a maximum waiting time of 30 minutes between shuttles. Calculate the number of shuttles needed to meet these requirements, considering that each shuttle takes 1 hour to complete a round trip. Provide step-by-step reasoning.\n"} {"instruction": "A chat. Solve: (6 * 4) - (12 / 3) + 9 * 2 ="} {"instruction": "A chat. If a train travels at an average speed of 50 miles per hour for 4 hours and then at an average speed of 70 miles per hour for another 2 hours, how far has the train traveled in total?"} {"instruction": "A chat. A bag contains 4 red balls, 6 blue balls, and 5 green balls. If you randomly pick two balls without replacement, what is the probability that both balls will be green?"} {"instruction": "A chat. A sports stadium needs to upgrade its lighting system to meet new energy efficiency standards. The current system uses 500 halogen lights, each consuming 1,000 watts. The proposed LED lighting system consumes only 300 watts per light. Calculate the total energy savings per hour if the stadium switches to LED lights, and determine how much money they can save on their electricity bill annually, assuming an average usage of 10 hours per day for 200 days a year and an electricity cost of $0.12 per kWh.\n"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B each day. Product A requires 2 hours to produce, while product B requires 3 hours. How many total hours does the factory spend producing both products in one day?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. It takes 30 minutes to travel between two stations. What is the distance between these two stations?"} {"instruction": "A chat. There are 5 apples and 7 oranges in a basket. Tom takes 2 apples and 3 oranges from the basket, while Jane takes 1 apple and 2 oranges. How many fruits are left in the basket?"} {"instruction": "A chat. There are 5 cats and 7 dogs in a room. Each cat has 3 toys, and each dog has 2 toys. If you randomly select one toy from the room, what is the probability that it belongs to a cat?"} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" However, all the labels are incorrect. Without looking inside, you can take out one fruit from any box. How many fruits do you need to take out to correctly label all the boxes?"} {"instruction": "A chat. If a factory produces 500 units of product A in 8 hours, how many units will it produce if it operates for 12 hours at the same production rate?"} {"instruction": "A chat. In a town, 60% of the population are adults. Among the adults, 40% have children. If there are 1200 people in the town, how many adults do not have children?"} {"instruction": "A chat. In a class of 30 students, 16 are boys and 14 are girls. If 8 boys and 6 girls wear glasses, what is the probability that a randomly chosen student wears glasses?"} {"instruction": "A chat. There are 5 apples on the table. Tom takes 3 apples and leaves the room. How many apples are left in the room?"} {"instruction": "A chat. If you roll two six-sided dice, what is the probability that their sum will be an even number?"} {"instruction": "A chat. If you have a sequence where each term after the second term is the sum of the two terms immediately preceding it, and the first two terms are 1 and 2, what is the 10th term of the sequence?"} {"instruction": "A chat. If you invest $5,000 at an annual interest rate of 4%, compounded quarterly, how much money will you have after 5 years?"} {"instruction": "A chat. A factory produces 1200 units of a product every day. If the factory operates for 20 days in a month, how many units will it produce in a year?"} {"instruction": "A chat. If all cats are animals, and some animals are pets, does it mean that all cats are pets?"} {"instruction": "A chat. If a car rental company has 25 cars and rents them out at an average rate of $45 per day, how much revenue would they generate in a month if the average occupancy rate is 80%?"} {"instruction": "A chat. In a group of friends, Alice is taller than Bob, and Bob is taller than Carol. If Dave is shorter than Alice but taller than Carol, who is the tallest among them?"} {"instruction": "A chat. A train travels from Town A to Town B in 2 hours and then continues to Town C in another 3 hours. If the distance between Town A and Town B is 120 miles and the average speed for the entire journey is 40 miles per hour, what is the distance between Town B and Town C?"} {"instruction": "A chat. If a store sells apples for $1.50 per pound and oranges for $2.00 per pound, how much would it cost to buy 6 pounds of apples and 8 pounds of oranges?"} {"instruction": "A chat. A father is four times as old as his son. In six years, the father will be three times as old as his son. How old is the son currently?"} {"instruction": "A chat. There are two boxes, one containing 10 black balls and 30 white balls, and the other containing 20 black balls and 20 white balls. You randomly pick one ball from one of the boxes without looking. It turns out to be a black ball. What is the probability that you picked the ball from the first box?"} {"instruction": "A chat. In a group of people, 15 speak English, 12 speak French, and 9 speak both English and French. How many people speak either English or French? Explain your reasoning."} {"instruction": "A chat. A train travels from City A to City B at a speed of 60 miles per hour. At the same time, another train travels from City B to City A at a speed of 40 miles per hour. If the distance between the two cities is 200 miles, how long will it take for the trains to meet?"} {"instruction": "A chat. It takes 7 machines 7 minutes to make 7 widgets. How long would it take 100 machines to make 100 widgets? Explain your thought process."} {"instruction": "A chat. If a plane travels at an average speed of 500 miles per hour for 8 hours, how many miles does it travel?"} {"instruction": "A chat. The population of a town increases by 5% every year. If the current population is 10,000, what will be the population after 3 years?"} {"instruction": "A chat. A hotel chain is planning to renovate its properties across multiple locations. Each property has an average of 150 rooms, and the renovation project includes upgrading the furniture, fixtures, and flooring in each room. Calculate the total cost of the renovation project for 20 properties, assuming that the average cost per room is $10,000. Additionally, estimate the time required to complete the renovations if each property can be renovated simultaneously with a team of 30 workers who can complete one room per day."} {"instruction": "A chat. There are 5 apples on the table. John takes away 2 apples. How many apples are left?"} {"instruction": "A chat. If a factory produces 250 units of product A and 150 units of product B every day, how many days will it take to produce 2000 units of product A and 1200 units of product B?"} {"instruction": "A chat. A car rental company charges $25 per day for renting a car, plus an additional fee of $10 for insurance. If someone rents a car for 5 days with insurance, what is the total cost?"} {"instruction": "A chat. A school's basketball team needs new uniforms for the upcoming season. There are 15 players on the team, and each uniform set (jersey and shorts) costs $75. Additionally, the team wants to purchase warm-up jackets at $60 each. Calculate the total cost for the new gear and determine if the team can afford it with their current budget of $1,800. Explain your reasoning.\n"} {"instruction": "A chat. A snail starts at the bottom of a 30-foot well. Each day it climbs up 5 feet and then slides back down 4 feet. How many days will it take for the snail to reach the top of the well?"} {"instruction": "A chat. A large supermarket chain is analyzing its supply chain efficiency by evaluating transportation costs between distribution centers and retail stores. There are 10 distribution centers, each serving an average of 50 stores located within a 100-mile radius. Each store receives deliveries from one distribution center using trucks with a capacity of 20 tons. Calculate the total annual fuel cost for these deliveries, assuming that each truck travels at an average speed of 50 miles per hour, consumes 6 miles per gallon of diesel fuel, and makes daily round trips to each store. Diesel fuel costs $3 per gallon.\n"} {"instruction": "A chat. A group of people is waiting in line for a concert. There are twice as many women as men in the line. If there are 60 people in total, how many more women than men are there?"} {"instruction": "A chat. A city is planning to build a new public transportation system consisting of buses and trams. The initial investment for the tram network is $50 million, with an annual operating cost of $5 million. Each bus costs $300,000, with an annual operating cost of $100,000 per bus. The city has a budget of $70 million for the initial investment and $10 million annually for operating costs. Determine the optimal combination of buses and trams that can be purchased within the budget constraints while maximizing the coverage area. Explain your reasoning.\n"} {"instruction": "A chat. A rectangular garden measures 30 feet by 40 feet. What is the area of this garden in square yards?"} {"instruction": "A chat. In a game, you have a 1/4 chance of winning $100, a 1/8 chance of winning $200, and a 3/8 chance of losing $50. What is your expected value for playing this game?"} {"instruction": "A chat. If you have 8 oranges and eat 5 pineapples, how many apples do you have?"} {"instruction": "A chat. A factory produces 2000 items per day. Of these, 98% pass quality control tests, while the rest fail. How many items on average will fail the quality control test in a week?"} {"instruction": "A chat. A shipping company is planning to expand its fleet of cargo ships to increase capacity and meet growing demand. The current fleet consists of 20 ships, each with a maximum capacity of 10,000 tons. The company wants to add five new ships, each with a capacity of 15,000 tons. Calculate the total increased capacity in percentage terms and estimate the cost if each new ship costs $50 million. Also, consider that each ship requires a crew of 25 members at an average annual salary of $60,000 per crew member. Explain your reasoning.\n"} {"instruction": "A chat. Evaluate the expression (5^2 - 3 * 4) / (6 - 2 * 3)"} {"instruction": "A chat. A farmer has 5 acres of land on which he plants corn. Each acre yields an average of 150 bushels of corn. If the farmer sells the corn for $4 per bushel, what will be his total income from selling all the corn produced on his land?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 km/h. It takes 3 hours for the journey. On its return trip, it travels at a speed of 80 km/h. How long does it take for the train to travel back to Town A?"} {"instruction": "A chat. A baker uses 15 eggs to bake 60 cupcakes. How many eggs will she need to bake 150 cupcakes? Explain your reasoning."} {"instruction": "A chat. In a certain city, the average monthly rent for a one-bedroom apartment is $1,200. If a person earns an annual salary of $48,000, what percentage of their income would be spent on rent if they rented a one-bedroom apartment in this city?"} {"instruction": "A chat. In a small town, there are 10 houses on one side of the street and 15 houses on the other side. Each house has a dog, and each dog barks at every cat that passes by. If there are 5 cats in the neighborhood, how many times do the dogs bark when all the cats pass by?"} {"instruction": "A chat. A hotel chain wants to expand its presence in a popular tourist destination by constructing a new luxury resort. The resort will have 300 rooms, with an average nightly rate of $250. Calculate the potential annual revenue for the resort, assuming an average occupancy rate of 75% throughout the year. Also, estimate the break-even point for the resort's construction cost of $50 million. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A bag contains 4 red balls, 6 blue balls, and 5 green balls. If you draw two balls from the bag without replacement, what is the probability that both balls are blue?"} {"instruction": "A chat. If a store has 15 different types of fruits and you want to buy 5 different types, how many different combinations can you choose from?"} {"instruction": "A chat. A book has 500 pages. Each page has 250 words. How many words are there in total in the book? Provide step-by-step logic."} {"instruction": "A chat. A box contains 5 red balls, 7 blue balls, and 8 green balls. If you randomly pick two balls from the box without replacement, what is the probability that both balls are red?"} {"instruction": "A chat. A hospital is evaluating the efficiency of its emergency department (ED) in terms of patient waiting times. The ED receives an average of 150 patients per day, with arrival times evenly distributed throughout the day. Each patient spends an average of 90 minutes in the ED, including registration, triage, treatment, and discharge. The hospital aims to reduce the average waiting time to less than 30 minutes by increasing the number of staff or changing their shift patterns. Propose a staffing plan that achieves this goal, considering the current staff consists of 20 doctors and 30 nurses working in 12-hour shifts.\n"} {"instruction": "A chat. How much water would be needed to fill a swimming pool with dimensions of 50 feet in length, 20 feet in width, and 10 feet in depth?"} {"instruction": "A chat. Calculate the present value of an investment that will pay $10,000 in 5 years if the annual interest rate is 8%. Use the formula PV=FV/(1+r)^t and explain your calculations.\n"} {"instruction": "A chat. A train travels from City A to City B at an average speed of 80 km/h and returns at an average speed of 100 km/h. The total round trip takes 5 hours. Find the distance between City A and City B. Show your work.\n"} {"instruction": "A chat. A printer prints 20 pages in 5 minutes. How many pages can it print in an hour? Explain your thought process."} {"instruction": "A chat. In a town, there are 10 families. Each family has at least one child. If no two families have the same number of children and the total number of children in the town is 45, how many children does the family with the most children have?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 6 meters and a height of 4 meters. What is its volume in cubic meters?"} {"instruction": "A chat. A train travels at an average speed of 60 mph for 3 hours. How far does it travel?"} {"instruction": "A chat. How many times does Earth rotate on its axis during one complete orbit around the Sun?"} {"instruction": "A chat. Prove that every group of order p^2, where p is a prime number, is abelian."} {"instruction": "A chat. A car rental company charges $20 per day for renting a car and an additional 15 cents per mile driven. If you rent a car for 3 days and drive it for 200 miles, how much will the total cost be?"} {"instruction": "A chat. A factory produces two types of products, C and D. Product C requires 3 hours of labor per unit, while product D requires 2 hours of labor per unit. The factory has a maximum of 600 hours of labor available per week. If the profit from selling one unit of product C is $50, and the profit from selling one unit of product D is $30, how many units of each product should the factory produce to maximize its weekly profit?"} {"instruction": "A chat. If a sequence follows the rule an = 3n - 2, what is the sum of the first 20 terms?"} {"instruction": "A chat. There are 6 people in a room, including Alice and Bob. If each person shakes hands with every other person exactly once, how many handshakes occur?"} {"instruction": "A chat. Design a study to test the hypothesis that exercise improves cognitive function in older adults. Describe your research design, including sample selection, data collection methods, and statistical analyses.\n"} {"instruction": "A chat. A rectangular room has a length of 20 feet and a width of 15 feet. If you walk around the perimeter of the room once, how many feet have you walked?"} {"instruction": "A chat. Use Stokes' theorem to evaluate the line integral \u222e(F \u00b7 dr), where F = (y^2, -xz, z^3), around the curve C defined by r(t) = (cos(t), sin(t), t) for 0 \u2264 t \u2264 2\u03c0."} {"instruction": "A chat. In a town, there are 10 houses on one side of the street and 15 houses on the other side. Each house has a dog. One day, all dogs from one side of the street go to the other side and start barking at the dogs there. How many dogs are barking in total?"} {"instruction": "A chat. A rectangular garden has a length of 30 feet and a width of 20 feet. What is the area of the garden in square yards?"} {"instruction": "A chat. A square has a side length of 10 inches. A circle is inscribed inside the square, meaning that the circle touches all four sides of the square exactly once. What is the area of the circle?"} {"instruction": "A chat. If a car travels at a constant speed of 60 miles per hour, how long will it take to travel 450 miles?"} {"instruction": "A chat. If a rooster lays an egg on the peak of a triangular roof, which side will the egg roll down?"} {"instruction": "A chat. A factory produces 150 units of product A and 200 units of product B each day. Product A requires 2 hours of labor to produce, while product B requires 3 hours. How many total hours of labor are required daily to produce both products?"} {"instruction": "A chat. You have a box of chocolates containing 50 pieces. You eat 2 pieces a day. Your friend gives you 10 more pieces after you've eaten half of your original box. How many days will it take you to finish all the chocolates? Show your work."} {"instruction": "A chat. There are 5 siblings in a family. Each sibling has a different number of candies, and they all have at least one candy. The oldest sibling has the most candies, while the youngest sibling has the fewest candies. If you take away one candy from each sibling, who will have the second most candies?"} {"instruction": "A chat. A baker uses 3 eggs for every 2 cakes she bakes. How many eggs will she use if she bakes 10 cakes? Provide reasoning."} {"instruction": "A chat. In a room, there are 10 people who shake hands with each other once. How many handshakes occur? Explain step-by-step."} {"instruction": "A chat. If a restaurant sells 120 hamburgers and 80 hot dogs every day, with each hamburger priced at $6 and each hot dog priced at $4, how much total revenue will they generate in a week?"} {"instruction": "A chat. In a room, there are 5 people who have a total of 25 apples. Each person has an odd number of apples. How many apples does the person with the most apples have?"} {"instruction": "A chat. A company's revenue is given by R(x) = 100x - x^2, where x represents the number of units sold. Determine the maximum revenue and the number of units that must be sold to achieve it. Explain your calculations.\n"} {"instruction": "A chat. A rectangle has a length of 15 meters and a width of 10 meters. If you increase the length by 50% and decrease the width by 25%, what is the new area of the rectangle?"} {"instruction": "A chat. A factory produces 1000 widgets per day, and 5% of them are defective. If a customer buys 10 widgets at random, what is the probability that they receive at least one defective widget?"} {"instruction": "A chat. In a bag of marbles, 6 are red, 4 are blue, and 5 are green. If you randomly pick one marble, what is the probability that it is not blue? Show your reasoning."} {"instruction": "A chat. A father has three daughters. Each daughter has two brothers. How many children does the father have?"} {"instruction": "A chat. In a room, there are 10 people who always tell the truth and an unknown number of liars who always lie. You ask everyone in the room if they are a liar. How many people will say \"yes\"?"} {"instruction": "A chat. There are 12 people in a room, including Alice and Bob. If everyone shakes hands with everyone else exactly once, how many handshakes will take place? How many handshakes does Alice make?"} {"instruction": "A chat. A sports league is organizing a tournament that will take place over two weeks, with 16 teams participating from various cities. The league needs to plan for accommodations, transportation, meals, and venue rentals. Each team consists of 20 players and five staff members. Calculate the total cost of hosting the tournament, considering factors such as hotel room rates, meal costs, and distance between venues.\n"} {"instruction": "A chat. If a bee visits 5 flowers per minute and collects one drop of nectar from each flower, how many drops of nectar will the bee collect in an hour if it continues at this rate? Explain your reasoning."} {"instruction": "A chat. A box contains red balls and blue balls. The probability of picking a red ball is 1/3. If there are 36 balls in total, how many are blue? Provide step-by-step logic."} {"instruction": "A chat. In a family, there are two parents and four children. Each parent has one sibling. How many aunts and uncles do the children have?"} {"instruction": "A chat. In a town, all men are required to shave every day. A barber shaves all the men who don't shave themselves. Who shaves the barber?"} {"instruction": "A chat. A store sells apples in bags containing either 4 or 7 apples each. If a customer wants to buy exactly 23 apples, what is the minimum number of bags they need to purchase?"} {"instruction": "A chat. If a committee consists of 3 men and 5 women, how many ways can a subcommittee of 4 people be formed if it must include at least 1 man and 1 woman?"} {"instruction": "A chat. In a class of 25 students, 12 are boys and the rest are girls. If 4 boys and 3 girls are absent one day, what percentage of the class is present?"} {"instruction": "A chat. A cylindrical container has a diameter of 6 inches and a height of 8 inches. What is its volume in cubic inches?"} {"instruction": "A chat. A train travels at a constant speed of 50 mph for 2 hours and then increases its speed to 70 mph for another 3 hours. What is the average speed of the train during this journey?"} {"instruction": "A chat. A factory produces 1200 widgets every 8 hours. How many widgets will the factory produce in a week if it operates 24 hours a day?"} {"instruction": "A chat. A tree doubles its height every year. After 5 years it is 32 feet tall. How tall was the tree after the first year? Explain step-by-step."} {"instruction": "A chat. A train leaves from Station A at 9 am and arrives at Station B at 11 am. Another train leaves from Station B at 9:30 am and arrives at Station A at 11:30 am. If both trains travel at constant speeds, do they meet each other at the same time every day?"} {"instruction": "A chat. In a class of 30 students, 16 play soccer, 14 play basketball, and 8 play both soccer and basketball. How many students do not play either sport?"} {"instruction": "A chat. In a certain city, the population increases at a constant rate of 3% per year. If the current population is 200,000 people, what will be the population in 5 years?"} {"instruction": "A chat. If a car rental company has 120 cars, and they rent out 80% of their cars on weekdays and 60% of their cars on weekends, how many more cars are rented out during the weekdays compared to the weekends?"} {"instruction": "A chat. A water tank holds 250 gallons when full. If a faucet releases water from the tank at a rate of 4 gallons per minute, how long will it take to empty half of the tank?"} {"instruction": "A chat. An airport is expanding its international terminal to accommodate an increasing number of passengers. The current terminal has 15 gates and serves 5 million passengers annually. To meet future demand, the airport needs to serve 8 million passengers by the end of the expansion project. Calculate the total number of gates required after the expansion, assuming that gate capacity remains constant. Also, estimate the construction timeline if it takes 6 months to build one gate and two gates can be built simultaneously.\n"} {"instruction": "A chat. In a certain city, there are 200 taxis numbered from 1 to 200. What is the probability that a randomly chosen taxi has a number that is divisible by both 3 and 4?"} {"instruction": "A chat. A city is planning to construct a new sports complex that includes a stadium, swimming pool, and gymnasium. The estimated construction cost for the entire project is $150 million. The breakdown of costs is as follows: 60% for the stadium, 25% for the swimming pool, and 15% for the gymnasium. The city has allocated funds from different sources, including a federal grant covering 40% of the total cost, state funding covering 30%, and private investments covering the remaining 30%. Calculate the amount contributed by each source and the cost allocation for each facility in the complex. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A company sells two types of widgets: small widgets and large widgets. The profit margin on small widgets is 25%, while the profit margin on large widgets is 40%. If the company sold 100 small widgets for $10 each and 50 large widgets for $20 each, what was their total profit?"} {"instruction": "A chat. In a city with a population of 1 million people, 60% own cars, and 25% of car owners also own bicycles. How many people in the city do not own either a car or a bicycle?"} {"instruction": "A chat. A zoo is looking to expand its collection of animals to attract more visitors. The zoo currently houses 200 species of animals, with varying space requirements, dietary needs, and environmental conditions. With a budget of $5 million for expansion, determine the most cost-effective combination of new animal exhibits that will appeal to the widest range of visitors while ensuring proper care and habitat for each species. Provide a step-by-step approach to solving this problem."} {"instruction": "A chat. If a person saves 5% of their income every month, how much will they have saved after 2 years if their monthly income is $3,000?"} {"instruction": "A chat. What is the circumference of a circle with a diameter of 10 meters?"} {"instruction": "A chat. A telecommunications company is upgrading its network infrastructure to support increased data usage by customers. The project involves installing new cell towers, upgrading existing equipment, and expanding fiber-optic lines. The total budget for the project is $1 billion, with varying costs for each component. The company needs to prioritize investments to ensure maximum coverage and quality of service for its subscribers. Determine the optimal allocation of resources across the different components of the project, taking into account regional differences in population density and data usage patterns. Describe your approach in steps."} {"instruction": "A chat. A library has 12,000 books. Of these, 30% are fiction, 25% are non-fiction, and the rest are reference books. How many more fiction books are there than non-fiction books?"} {"instruction": "A chat. You read 5 pages of a book every day. The book has 250 pages. How long will it take you to finish reading the book? Explain your thought process."} {"instruction": "A chat. If you have a container filled with 5 liters of water and another container filled with 3 liters of water, how many times do you need to pour one container into the other to get exactly 4 liters of water in one container?"} {"instruction": "A chat. If a train travels at an average speed of 90 km/h and takes 4 hours to reach its destination, how far away is the destination in kilometers?"} {"instruction": "A chat. The Earth orbits the Sun once every 365.25 days. How many times does the Earth orbit the Sun in 50 years?"} {"instruction": "A chat. In a small town, there are 10 houses on one side of the street and 15 houses on the other side. If every house has at least one cat, and the total number of cats is 40, what is the average number of cats per house?"} {"instruction": "A chat. A large grocery store chain wants to improve its inventory management system by implementing a just-in-time (JIT) approach. The company currently holds an average inventory of $20 million worth of products in its warehouses at any given time. With the JIT approach, they expect to reduce their average inventory value to $10 million. Determine the potential cost savings from this reduction in inventory, considering factors such as storage costs, product spoilage, and insurance expenses. Describe your approach in steps.\n"} {"instruction": "A chat. A theme park is planning to build a new roller coaster with a budget of $15 million. The construction cost per linear foot of track is $1,500, and additional costs include land preparation ($2 million), ride vehicles ($3 million), and theming elements ($4 million). Determine the maximum length of the roller coaster track that can be built within the given budget, considering all associated costs.\n"} {"instruction": "A chat. If a bee visits 20 flowers in a minute and collects nectar from each flower, how many flowers does it visit in a day? Assume the bee works 10 hours a day. Show your work."} {"instruction": "A chat. A factory produces 150 units of a product every hour. Due to increased demand, the factory decides to increase production by 25%. How many units will be produced in 10 hours after the production increase?"} {"instruction": "A chat. A box contains 12 balls, some black and some white. If you randomly pick 2 balls at once, the probability of both being black is 1/3. How many black balls are in the box?"} {"instruction": "A chat. A factory produces two types of widgets: Type A and Type B. The factory produces twice as many Type A widgets as Type B widgets. If the factory produces a total of 450 widgets per day, how many Type B widgets does it produce?"} {"instruction": "A chat. In a game, you roll two fair six-sided dice. If you roll a sum of 7 or greater, you win. What is the probability of winning the game?"} {"instruction": "A chat. A store sells 3 types of apples: Red, Green, and Yellow. The ratio of Red to Green to Yellow apples is 4:3:2. If there are a total of 90 apples, how many of each type are there?"} {"instruction": "A chat. Two fathers and two sons went fishing. Each of them caught one fish. So why did they bring home only three fishes? Provide step-by-step logic."} {"instruction": "A chat. Find the derivative of the function f(x) = 3x^2 - 4x + 2. Explain your calculations.\n"} {"instruction": "A chat. If a car travels at a constant speed of 50 miles per hour, how far will it travel in 2.5 hours?"} {"instruction": "A chat. If you flip a coin twice, what is the probability of getting at least one head? Provide step-by-step logic."} {"instruction": "A chat. (4^2 * 3) / (8 - 5)^2 ="} {"instruction": "A chat. In a school, there are 600 students, and the ratio of boys to girls is 3:2. How many boys and girls are there in the school?"} {"instruction": "A chat. A factory produces 500 units of a product per day. If each unit is sold for $15 and the daily production cost is $3,000, what is the daily profit?"} {"instruction": "A chat. There are 10 people standing in a circle. Each person has an integer number of candies ranging from 1 to 10, with no two people having the same number of candies. If each person gives half of their candies to the person on their left, how many people will have more candies than they started with?"} {"instruction": "A chat. Three friends decide to share a pizza equally. The pizza has 8 slices. They each eat their equal shares but still have some slices left. How many slices are left?"} {"instruction": "A chat. There are 100 seats in a theater. Tickets are sold at $10 each. If all tickets are sold, the revenue will be $1000. However, for every empty seat, the price of each ticket goes up by $1. What is the maximum possible revenue for the theater?"} {"instruction": "A chat. There are 10 apples on a table. You take away 3 apples, but you put back 2 oranges. How many fruits are left on the table?"} {"instruction": "A chat. Show that any group of order p^2, where p is prime, is either cyclic or isomorphic to the direct product of two cyclic groups of order p."} {"instruction": "A chat. A factory produces two types of products: A and B. The profit per unit for product A is $5, while the profit per unit for product B is $8. If the factory produces a total of 1000 units and makes a total profit of $6500, how many units of each product were produced?"} {"instruction": "A chat. In a room, there are 4 people who have a total of 6 siblings. John has 2 siblings, Mary has 3 siblings, and Peter has 1 sibling. How many siblings does the fourth person, Sarah, have?"} {"instruction": "A chat. A train travels from station A to station B at a constant speed. The distance between the two stations is 120 miles. It takes the train 2 hours to travel halfway and another 1 hour to complete the remaining half. What is the average speed of the train?"} {"instruction": "A chat. A store sells three types of candies: type X, Y, and Z. If the ratio of candies sold is 4:7:9 for types X, Y, and Z respectively, and a total of 200 candies were sold, how many candies of each type were sold?"} {"instruction": "A chat. A box contains 5 red balls and 7 blue balls. If you randomly pick one ball, replace it, and then pick another ball, what is the probability of picking a red ball followed by a blue ball?"} {"instruction": "A chat. In a certain family, every child has at least one brother and one sister. What is the minimum number of children in the family?"} {"instruction": "A chat. How many unique prime factors does the number 1,050 have?"} {"instruction": "A chat. A train travels at an average speed of 80 mph for the first half of its journey and then increases its speed to 100 mph for the second half. If the total journey takes 4 hours, what is the distance covered by the train?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed. It takes 4 hours for the train to travel half the distance between the two cities. How long does it take for the train to travel the entire distance between City A and City B?"} {"instruction": "A chat. A store sells oranges at $4 per pound and apples at $3 per pound. If a customer buys 5 pounds of oranges and 4 pounds of apples, how much will the total cost be?"} {"instruction": "A chat. There are 4 red balls and 6 blue balls in a box. You pick two balls at random without looking. What is the probability that you picked one ball of each color?"} {"instruction": "A chat. How many times does Earth rotate on its axis during one orbit around the Sun?"} {"instruction": "A chat. A cylindrical container has a radius of 5 cm and a height of 10 cm. What is its volume in cubic centimeters?"} {"instruction": "A chat. In a village, there are 100 houses. Every house has a dog, and every dog barks at exactly two cats. Each cat is scared of three birds, and each bird can be found in four different trees. How many trees are in the village?"} {"instruction": "A chat. Use mathematical induction to prove that n! > 2^n for all integers n > 3."} {"instruction": "A chat. A train travels from City A to City B at an average speed of 100 km/h and takes 4 hours to complete the journey. How far apart are the two cities?"} {"instruction": "A chat. An ant starts climbing up a 16-foot wall. Each day it climbs 3 feet, but each night it slips back 2 feet. How many days does it take the ant to reach the top of the wall? Show your work."} {"instruction": "A chat. A man has two children and at least one of them is a boy. What is the probability that both children are boys? Explain your thought process."} {"instruction": "A chat. A car traveling at 50 miles per hour needs to cover a distance of 200 miles. If the car's fuel efficiency is 25 miles per gallon, how many gallons of fuel will it consume during this trip?"} {"instruction": "A chat. If a car travels at an average speed of 60 miles per hour for 2.5 hours, how far does it travel?"} {"instruction": "A chat. There are 20 students in a class. If 8 students play soccer and 7 students play basketball, with 3 students playing both sports, how many students don't play either sport?"} {"instruction": "A chat. In a group of 120 people, 60% are women and the rest are men. If 30% of the women and 40% of the men wear glasses, how many people in the group wear glasses?"} {"instruction": "A chat. In how many ways can you distribute 10 identical candies among 4 children if each child must receive at least one candy?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding new buses and routes. The current fleet consists of 100 buses, each with a capacity of 50 passengers. The city wants to increase the total passenger capacity by 25% while maintaining an average occupancy rate of 70%. Calculate the number of additional buses needed and the optimal route distribution for these buses. Consider factors such as peak travel times, population density, and existing transit infrastructure in your reasoning.\n"} {"instruction": "A chat. Use Laplace transforms to solve the following differential equation: y'' + 4y' + 5y = e^(-t), with initial conditions y(0) = 0 and y'(0) = 0. Show your work.\n"} {"instruction": "A chat. A jar contains 4 red marbles, 6 blue marbles, and 2 green marbles. What is the probability of drawing a red marble followed by a blue marble without replacing the first marble drawn?"} {"instruction": "A chat. A factory produces 200 cars every week. If each car requires 4 tires, how many tires does the factory need in a year? Detail your process."} {"instruction": "A chat. In a class of 30 students, 40% received an A grade, and the rest received a B grade. If each A student receives a $10 reward and each B student receives a $5 reward, what is the total amount of money given as rewards?"} {"instruction": "A chat. A train travels at a constant speed from Town A to Town B, which are 120 miles apart. It takes the train 2 hours to complete the journey. On its return trip, it stops for 30 minutes at a station halfway between Town A and Town B. How long does the entire round trip take?"} {"instruction": "A chat. It takes 10 men 5 hours to build a wall. How long would it take 20 men to build the same wall? Explain your thought process."} {"instruction": "A chat. A train travels at an average speed of 60 mph for the first half of its journey and then increases its speed to 80 mph for the second half. If the total distance of the journey is 420 miles, how long does the entire trip take?"} {"instruction": "A chat. In a family of 5 children, each child has at least one brother and one sister. What is the minimum number of boys and girls in the family?"} {"instruction": "A chat. In a certain city, there are 150,000 registered voters. If 60% of them vote in an election and 55% of those who voted chose candidate X, how many votes did candidate X receive?"} {"instruction": "A chat. A factory produces 500 units of product A per day and sells each unit for $20. The cost of producing each unit is $10. What is the daily profit from selling product A?"} {"instruction": "A chat. A sphere has a volume of 36\u03c0 cubic centimeters. What is the radius of the sphere in centimeters?"} {"instruction": "A chat. A train travels at an average speed of 80 km/h for the first half of its journey and then increases its speed to 120 km/h for the second half. If the total distance traveled is 600 km, how long did the entire journey take?"} {"instruction": "A chat. In a room, there are 10 people. Each person has the same number of friends as their age. The youngest person is 1 year old and the oldest is 10 years old. How many friends does the 5-year-old have?"} {"instruction": "A chat. In a room, there are 4 dogs and 3 cats. Each dog has 2 eyes and each cat has 1 eye. How many eyes are in the room?"} {"instruction": "A chat. If a movie theater has 15 rows with 20 seats in each row, how many people can the theater accommodate? Show your reasoning."} {"instruction": "A chat. A car rental company charges $50 per day for renting a car plus an additional $0.25 per mile driven. If you rent a car for 5 days and drive 300 miles, how much will the rental cost?"} {"instruction": "A chat. A company has 100 employees. Each employee works 8 hours a day, 5 days a week, and earns $20 per hour. How much does the company spend on salaries in one year?"} {"instruction": "A chat. A store sells 3 types of candies: type A costs $2 per pound, type B costs $4 per pound, and type C costs $6 per pound. If a customer buys 5 pounds of type A, 8 pounds of type B, and 3 pounds of type C, how much will the customer spend in total?"} {"instruction": "A chat. If a car gets 30 miles per gallon and has a 12-gallon gas tank, how many miles can it travel on a full tank? Explain your reasoning.\n"} {"instruction": "A chat. If a car rental company has 50 cars and rents them out at an average rate of $40 per day, how much revenue will they generate in one month if their cars are rented out 70% of the time?"} {"instruction": "A chat. Calculate the eigenvalues and eigenvectors of a 2x2 matrix, providing step-by-step reasoning.\n"} {"instruction": "A chat. Sam has 30 pencils and gives 10 to Alex. Tim then asks Sam for an eraser. How many pens does Sam have left?"} {"instruction": "A chat. A factory produces 200 units of a product every day. Due to an increase in demand, they decide to increase their daily production by 5% each week for the next 6 weeks. How many units will they produce on the last day of the sixth week?"} {"instruction": "A chat. If the first and third Thursdays of a month are public holidays, what is the earliest date in that month when both public holidays have passed?"} {"instruction": "A chat. A bag contains 4 red balls, 3 blue balls, and 5 green balls. What is the probability of randomly picking a blue ball from the bag?"} {"instruction": "A chat. A farmer has a rectangular field with an area of 450 square meters. The length of the field is 5 meters more than twice its width. What are the dimensions of the field?"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B each day. Product A sells for $10 per unit, while product B sells for $15 per unit. What is the combined daily revenue from both products?"} {"instruction": "A chat. A group of people consists of 10 men and 12 women. If you randomly select two people from the group, what is the probability that both selected people will be women?"} {"instruction": "A chat. A factory produces widgets at a cost of $5 per widget. If the factory sells each widget for $8 and has fixed costs of $10,000 per month, how many widgets must be sold each month to break even?"} {"instruction": "A chat. What is the volume of a sphere with a diameter of 12 centimeters?"} {"instruction": "A chat. Classify all finite simple groups."} {"instruction": "A chat. An airline is planning its flight schedule for the upcoming summer season. They have a fleet of 50 aircraft, each with different capacities and operating costs. The airline needs to allocate these aircraft to various routes, taking into consideration passenger demand, competition, and airport slot availability. Additionally, they must factor in maintenance schedules, crew availability, and regulatory requirements. Develop a plan for optimizing the allocation of aircraft to routes and describe your approach in steps.\n"} {"instruction": "A chat. In a family gathering, there are 6 adults and 8 children. Each adult has 2 siblings, and each child has 3 cousins. How many siblings does each child have?"} {"instruction": "A chat. A population of bacteria doubles every 3 hours. If there are initially 1,000 bacteria in a petri dish, how many bacteria will be present after 24 hours?"} {"instruction": "A chat. A hotel chain is planning to open a new luxury resort on a tropical island. The resort will have 100 rooms, each with an average nightly rate of $500. The hotel expects an average occupancy rate of 80% throughout the year. Calculate the projected annual revenue for this resort, factoring in additional income sources such as restaurants, spa services, and event bookings. Describe your calculations.\n"} {"instruction": "A chat. In a group of people, there are twice as many women as men. If there are 24 more women than men, how many people are in the group?"} {"instruction": "A chat. A large hotel chain wants to renovate its properties to increase energy efficiency and reduce operating costs. The renovation project will include upgrading lighting systems, installing solar panels, and improving insulation. The company has a budget of $10 million for the project and needs to prioritize which properties to renovate first based on factors such as age, size, location, and potential energy savings. Develop a methodology for ranking the properties and determining the optimal allocation of the available budget among them."} {"instruction": "A chat. There are 7 days in a week. How many weeks are there in a year? Show your work."} {"instruction": "A chat. In a family of 5 people, each person has a different number of siblings. How many children are in the family?"} {"instruction": "A chat. A train travels from Town A to Town B in 3 hours. The distance between the two towns is 180 miles. After reaching Town B, the train takes a break for an hour and then returns to Town A, taking 4 hours for the return trip. What is the average speed of the train during the entire journey, including the break time?"} {"instruction": "A chat. In a town, there are 100 houses. Each house has at least one pet, either a cat or a dog. If the total number of pets is 150 and the number of cats is twice the number of dogs, how many dogs are in the town?"} {"instruction": "A chat. It takes 10 minutes to boil an egg using a stove. How long would it take to boil 12 eggs if you have only one pot?"} {"instruction": "A chat. In a small town, there are 4 barbers. Each barber has a different number of customers. Barber A has twice as many customers as Barber B. Barber C has the same number of customers as Barber D. If there are a total of 60 customers in the town, how many customers does each barber have?"} {"instruction": "A chat. Find the slope of the line that passes through the points (3, 5) and (-1, 2). Provide step-by-step reasoning.\n"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes the train 2 hours to travel from station A to station B. If another train leaves station B and heads towards station A at a constant speed of 40 miles per hour, how long will it take for the two trains to meet?"} {"instruction": "A chat. In a family of 5 people, each person has a different age. The father is older than the mother, who is older than their three children. If the youngest child is 8 years old, what is the minimum possible age of the oldest child?"} {"instruction": "A chat. John is taller than Peter. Mary is shorter than Peter. Is it true that John is taller than Mary?"} {"instruction": "A chat. A box contains red balls and blue balls. The ratio of red balls to blue balls is 3:2. If there are 15 red balls in the box, how many blue balls are there?"} {"instruction": "A chat. Alice is taller than Bob. Bob is taller than Charlie. Is Charlie taller than Alice? Explain your thought process."} {"instruction": "A chat. There are 12 apples on a table. You take away 4 apples, and then you divide the remaining apples equally among 4 people. How many apples does each person get?"} {"instruction": "A chat. In a family, there are 2 parents and 4 children. Each child has at least one brother and one sister. What is the minimum number of boys in the family?"} {"instruction": "A chat. A zoo is designing a new exhibit for their animals, which will include different sections for mammals, birds, reptiles, and amphibians. The total area available for the exhibit is 20,000 square meters. Each mammal requires at least 100 square meters, each bird requires 25 square meters, each reptile requires 50 square meters, and each amphibian requires 40 square meters. If the zoo wants to house an equal number of species in each section, calculate the maximum number of species that can be accommodated in the exhibit. Explain your reasoning.\n"} {"instruction": "A chat. Solve the equation 5x - 7 = 18, providing step-by-step reasoning.\n"} {"instruction": "A chat. A factory produces 250 units of a product every hour. If each unit sells for $12, how much revenue will be generated in one week?"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B every day. Product A sells for $20 per unit, while product B sells for $30 per unit. What is the combined monthly revenue from selling both products, assuming there are no unsold units at the end of the month?"} {"instruction": "A chat. John has twice as many marbles as Jim. Together, they have 18 marbles. How many marbles does each boy have? Provide step-by-step logic."} {"instruction": "A chat. A train travels from Town A to Town B in 2 hours. The distance between the two towns is 100 miles. After reaching Town B, the train immediately returns to Town A at half its original speed. How long does the entire round trip take?"} {"instruction": "A chat. In a group of 30 people, 18 play football, 16 play basketball, and 10 play both football and basketball. How many people do not play either sport?"} {"instruction": "A chat. A library has 5 shelves and each shelf can hold 30 books. If the library is at full capacity, how many books are there in the library? Show your work."} {"instruction": "A chat. A box contains 4 red balls, 5 blue balls, and 6 green balls. If you draw three balls at random without replacement, what is the probability that none of them are red?"} {"instruction": "A chat. A box contains red balls and blue balls. There are twice as many red balls as blue balls. If there are 15 blue balls, how many balls are in the box altogether?"} {"instruction": "A chat. A box contains 12 red balls, 8 blue balls, and 5 green balls. If you randomly pick one ball from the box without looking, what is the probability of picking a purple ball?"} {"instruction": "A chat. In a bag, there are 5 red balls, 3 blue balls, and 2 green balls. If you pick 3 balls at random without replacement, what is the probability that you will pick exactly 2 red balls?"} {"instruction": "A chat. A farmer has chickens and rabbits in a pen. There are 20 heads and 56 legs in total. How many chickens and how many rabbits does the farmer have?"} {"instruction": "A chat. If you have a bag containing 5 red balls, 3 blue balls, and 2 green balls, what is the probability of drawing two red balls consecutively without replacement?"} {"instruction": "A chat. A company produces 500 units of a product per day at a cost of $8 per unit. They sell each unit for $12. How many days will it take for them to make a profit of $10,000?"} {"instruction": "A chat. Solve: 4(3x - 2) = 6x + 8"} {"instruction": "A chat. A factory produces 200 units of a product per day. Due to increased demand, the factory needs to increase production by 50%. How many additional days will it take for the factory to produce an extra 1,000 units?"} {"instruction": "A chat. A snail climbs up a 30ft wall. Each day the snail climbs 3ft but at night, it slips back 2ft. How many days does it take for the snail to reach the top of the wall?"} {"instruction": "A chat. A man has 9 children. Each child has 3 siblings. How many boys does he have?"} {"instruction": "A chat. Prove that every positive integer can be written as the sum of distinct powers of two."} {"instruction": "A chat. What percentage of Earth's surface is covered by water?"} {"instruction": "A chat. A large supermarket chain wants to optimize its inventory management system to minimize food waste. On average, the chain discards 10% of its perishable items due to spoilage. The company aims to reduce this percentage to 5% by improving storage conditions, adjusting order quantities, and using data analytics to predict demand more accurately. Estimate the potential savings in terms of reduced waste and describe the steps the company could take to achieve this goal.\n"} {"instruction": "A chat. A father gives his son $20 to buy four items at a store. Each item costs a whole dollar amount, and no two items have the same price. The son must spend all the money without receiving any change. What is the minimum cost of the most expensive item?"} {"instruction": "A chat. Apply the principle of least action to derive the equations of motion for a simple pendulum, providing step-by-step reasoning.\n"} {"instruction": "A chat. In a group of people, 40% are vegetarians and 60% are non-vegetarians. Among the vegetarians, 25% eat eggs, while among the non-vegetarians, 50% eat eggs. What percentage of the total group eats eggs?"} {"instruction": "A chat. Use the Pythagorean theorem to find the length of the hypotenuse in a right triangle with legs measuring 8 cm and 15 cm. Show your work.\n"} {"instruction": "A chat. In a group of people, 60% prefer tea over coffee, while 40% prefer coffee over tea. Among those who prefer tea, 30% drink it with milk, and among those who prefer coffee, 50% drink it with milk. What percentage of the entire group drinks their preferred beverage with milk?"} {"instruction": "A chat. In a town, 2/3 of the population are adults, and 1/4 of the adult population have children. If there are 600 people in the town, how many adults do not have children?"} {"instruction": "A chat. It takes 2 hours to paint one room with a roller brush. How long will it take to paint 5 rooms?"} {"instruction": "A chat. Alice is taller than Bob. Bob is shorter than Charlie. Is Alice taller than Charlie?"} {"instruction": "A chat. A square garden has an area of 64 square meters. If you increase the length of one side by 2 meters and decrease the length of the other side by 1 meter, what will be the new area of the garden?"} {"instruction": "A chat. There are 50 apples in a basket. If you take away 10% of the apples every day, how many days will it take for there to be no apples left in the basket?"} {"instruction": "A chat. Calculate the compound interest earned on a $1,000 investment over five years at an annual interest rate of 3%, compounded annually. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A box contains 4 red balls, 3 blue balls, and 5 green balls. If you randomly pick two balls from the box without replacement, what is the probability that both balls will be green?"} {"instruction": "A chat. A restaurant has 12 tables that can seat 4 people each. If the restaurant is at full capacity, what percentage of the total seats would be occupied if three large groups of 10 people come in?"} {"instruction": "A chat. In a small town, there are 3 barbers. The first barber has red hair and the second one has black hair. The third barber has brown hair. If all the people in the town go to the barber with the best haircut, which barber should they choose?"} {"instruction": "A chat. A cone-shaped paper cup has a diameter of 6 inches at its widest point and a height of 8 inches. What is the volume of the cup in cubic inches?"} {"instruction": "A chat. There are 12 socks in a drawer: 6 red, 4 blue, and 2 green. If you pick two socks at random without looking, what is the probability that both socks will be red?"} {"instruction": "A chat. There are 5 houses in a row, each painted with a different color. The green house is immediately to the left of the white house. The red house is in the middle. The blue house is the first on the left. Which color is the last house on the right?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes 1 hour to travel between two cities. If it stops for 15 minutes at each city before continuing its journey, how long will it take to travel between three cities?"} {"instruction": "A chat. A man has 3 daughters. Each daughter has twice as many brothers as sisters. How many children does the man have?"} {"instruction": "A chat. A group of friends decides to go on a road trip. They rent 3 cars, each with a different fuel efficiency. Car A gets 20 miles per gallon, Car B gets 30 miles per gallon, and Car C gets 40 miles per gallon. If they all drive the same distance and use a total of 60 gallons of gas, how many gallons did each car use?"} {"instruction": "A chat. A theme park is planning to build a new roller coaster as its main attraction. The park has a budget of $10 million for the project and wants to create a ride that can accommodate at least 1,500 riders per hour. In addition to construction costs, the park needs to consider maintenance expenses, safety regulations, and potential revenue from ticket sales. Develop a comprehensive plan for the roller coaster project, including cost estimates, timelines, and expected outcomes.\n"} {"instruction": "A chat. If a car travels 120 miles in 2 hours, what is its average speed? And if it continues at this speed, how long will it take to travel an additional 180 miles?"} {"instruction": "A chat. A company has a total of 120 employees. If 60% of the employees are male and 45% of the males have a college degree, how many male employees have a college degree?"} {"instruction": "A chat. There are 7 red balls and 3 blue balls in a box. If you randomly pick two balls without replacement, what is the probability that both balls will be red?"} {"instruction": "A chat. There are two containers filled with water. Container A holds 20 liters of water, while container B holds 40 liters of water. You have a 3-liter jug and a 5-liter jug at your disposal. How many times do you need to pour water between the jugs and/or containers to end up with exactly 10 liters of water in one of the containers?"} {"instruction": "A chat. If a car rental company has 200 cars, and each car is rented out for an average of 15 days per month at a rate of $50 per day, what is the total revenue generated by the company in one year?"} {"instruction": "A chat. A company has two types of employees, full-time and part-time. Full-time employees work 40 hours per week, while part-time employees work 20 hours per week. The company has a total of 120 employees, who together work 3,800 hours per week. How many full-time and part-time employees does the company have?"} {"instruction": "A chat. A car rental company charges a flat fee of $20 per day plus an additional $0.15 per mile driven. If John rents a car and drives it for 100 miles, how much will he be charged?"} {"instruction": "A chat. A train travels from City A to City B at a speed of 60 mph. On its way back from City B to City A, it travels at a speed of 40 mph. What is the average speed of the train during the entire round trip?"} {"instruction": "A chat. A man has a beehive that produces honey. On the first day, the hive produces 10 ounces of honey. Each subsequent day, the hive produces 2 more ounces than the previous day. After 7 days, how much honey has been produced in total?"} {"instruction": "A chat. A group of people were asked if they prefer tea or coffee. 60% said they prefer tea, while the rest prefer coffee. Among those who prefer tea, 40% drink it with milk. What percentage of the total group drinks tea with milk?"} {"instruction": "A chat. A tree grows 2 inches taller every year. How tall will the tree be after 50 years if it was initially 10 feet tall? Remember to convert units correctly."} {"instruction": "A chat. A store sells three types of items: X, Y, and Z. The profit margin for item X is 25%, for item Y it's 30%, and for item Z it's 35%. If the store sells $10,000 worth of item X, $15,000 worth of item Y, and $20,000 worth of item Z, what is the total profit made by the store?"} {"instruction": "A chat. A car travels at an average speed of 60 mph for 2 hours and then at an average speed of 45 mph for another 3 hours. What is the total distance covered by the car?"} {"instruction": "A chat. If a train travels 150 miles in 3 hours, what is its average speed in kilometers per hour?"} {"instruction": "A chat. A group of friends want to split the cost of renting a beach house for a weekend getaway. If the rental cost is $2,000 and each person contributes an equal amount, how many people are needed if each person's share should not exceed $150?"} {"instruction": "A chat. If a person invests $10,000 in a savings account with an annual interest rate of 3%, compounded quarterly, how much money will they have after 5 years?"} {"instruction": "A chat. Find the sum of the first 100 natural numbers."} {"instruction": "A chat. A company has a revenue of $150,000 in its first year. If the revenue increases by 10% each year, what will be the company's revenue in its fourth year?"} {"instruction": "A chat. A factory produces 500 cars every week. How many cars does it produce in a year? Include leap years in your calculation."} {"instruction": "A chat. In a class of 40 students, 60% are female. If 75% of the females have brown eyes, how many female students have brown eyes?"} {"instruction": "A chat. Solve for x: 3x - 7 = 2(x - 4) + 5"} {"instruction": "A chat. If a train leaves Station A at 60 mph and another train leaves Station B (100 miles away) at 40 mph, how long will it take for the two trains to meet if they travel towards each other?"} {"instruction": "A chat. There are six people in a room. Half leave every hour on the hour. How many people will be left after 3 hours?"} {"instruction": "A chat. A city is analyzing traffic patterns to optimize public transportation routes and reduce congestion. There are currently 100 intersections in the city, with an average of 20,000 vehicles passing through each intersection daily. City planners want to implement measures to reduce vehicle throughput at these intersections by 15% during peak hours. Estimate the number of vehicles that need to be diverted to alternative routes or modes of transportation to achieve this goal, and propose potential solutions such as adding bus lanes or implementing congestion pricing.\n"} {"instruction": "A chat. There are 5 boxes, each containing either apples or oranges. Box A contains twice as many apples as box B. Box C contains half as many oranges as box D. Box E contains 10 apples. How many oranges are in box C?"} {"instruction": "A chat. In a village, there are 10 houses. Each house has 4 walls and each wall has one window. A bird sits on every window. How many birds are sitting in total?"} {"instruction": "A chat. A city is planning a new public transportation system that includes buses, trams, and subways. The total budget for the project is $500 million, with 40% allocated for bus infrastructure, 30% for trams, and 30% for subways. Determine the amount of funding available for each mode of transportation and estimate the number of miles of track or road that can be built for each type, given the following cost estimates: $1 million per mile for bus routes, $3 million per mile for tram tracks, and $10 million per mile for subway tunnels.\n"} {"instruction": "A chat. A large retail company wants to optimize its supply chain by reducing transportation costs between warehouses and stores. They currently operate 50 warehouses across the country, serving 1,000 stores. Each warehouse serves a specific region, with varying distances and transportation methods (trucks, trains, etc.). Determine the most cost-effective distribution strategy that minimizes transportation expenses while maintaining adequate inventory levels at each store. Explain your reasoning step-by-step.\n"} {"instruction": "A chat. There are 8 apples and 6 oranges in a basket. If you randomly pick one fruit, eat it, and then pick another fruit, what is the probability that both fruits picked were apples?"} {"instruction": "A chat. A train travels from Town A to Town B, then back to Town A, and finally to Town C. The distance between Town A and Town B is 150 miles, and the distance between Town A and Town C is 200 miles. What is the total distance traveled by the train?"} {"instruction": "A chat. A factory produces 1,200 units of a product every day. Due to an upcoming holiday, they need to produce 15% more units for 10 days. How many additional units do they need to produce during this period?"} {"instruction": "A chat. In a small town, there are 4 barbers. Each barber cuts the hair of all other barbers in town, but they never cut their own hair. One day, a stranger comes to town and needs a haircut. He observes that Barber A has the messiest hair, Barber B has slightly better hair, Barber C has neat hair, and Barber D has the best-looking hair. Which barber should the stranger choose for his haircut?"} {"instruction": "A chat. A library has 500 books. If 60% of the books are fiction, how many non-fiction books does the library have? Reason step-by-step."} {"instruction": "A chat. A store offers a discount on bulk purchases such that if you buy 3 items, you get a 20% discount on the total price. If each item costs $50, how much would you pay for buying 9 items?"} {"instruction": "A chat. Using Fourier series, find the solution to the heat equation u_t = k*u_xx for an insulated rod of length L, where k is the thermal conductivity constant, subject to initial temperature distribution u(x,0) = f(x) and boundary conditions u(0,t) = u(L,t) = 0. Provide step-by-step reasoning."} {"instruction": "A chat. A rectangular garden has a length of 30 feet and a width of 20 feet. What is the area of the garden, and how much fencing would be needed to enclose it?"} {"instruction": "A chat. A factory produces 500 widgets per hour. Due to a malfunction, the production rate decreases by 5% every hour. How many widgets will be produced during an 8-hour shift?"} {"instruction": "A chat. A train travels from City A to City B in 4 hours at an average speed of 80 kilometers per hour. How long would it take for a car traveling at an average speed of 100 kilometers per hour to cover the same distance between the two cities?"} {"instruction": "A chat. A company has 7 managers and 14 employees. The company wants to form a task force of 5 people, with at least 2 managers. How many different ways can the task force be formed?"} {"instruction": "A chat. Solve: (4 * 3) - (2^3) + 6 / 2 ="} {"instruction": "A chat. In a city with a population of 120,000 people, 35% are children, 50% are adults, and 15% are senior citizens. How many more adults than children live in the city?"} {"instruction": "A chat. An amusem*nt park is designing a new roller coaster with a maximum capacity of 30 passengers per ride. The park expects an average of 4,000 visitors per day during peak season, with 60% of visitors wanting to ride the new roller coaster. The roller coaster takes 5 minutes to complete one cycle, including loading and unloading passengers. Calculate how many hours the roller coaster needs to operate daily to accommodate all interested visitors during peak season. Provide step-by-step reasoning.\n"} {"instruction": "A chat. If a car depreciates in value by 20% each year, what will be its value after 5 years if the initial value was $25,000?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding new electric buses to its fleet. The city currently has 150 diesel buses, each with a seating capacity of 50 passengers and an average fuel consumption of 5 miles per gallon. The electric buses have a seating capacity of 60 passengers and can travel up to 200 miles on a single charge. Calculate the number of electric buses needed to replace the entire diesel bus fleet while maintaining the same passenger capacity. Also, estimate the reduction in fuel consumption and greenhouse gas emissions after the transition.\n"} {"instruction": "A chat. In an election, candidate A received 55% of the total votes, candidate B received 35%, and candidate C received the remaining 10%. If candidate A won by a margin of 5000 votes over candidate B, how many total votes were cast in the election?"} {"instruction": "A chat. In a town, 60% of the people have dogs and 40% have cats. Among dog owners, 30% also own cats. What percentage of cat owners also own dogs?"} {"instruction": "A chat. A factory produces 100 units of a product per day. Each unit takes 30 minutes to produce and the factory operates 10 hours a day. How many machines does the factory have?"} {"instruction": "A chat. If a baker uses 4 eggs to make 12 cupcakes, how many eggs will he use to make 96 cupcakes? Explain your reasoning."} {"instruction": "A chat. If you save $5 every week, how much money will you have saved after one year? Show your calculation."} {"instruction": "A chat. In a room, there are 6 people who speak English, 4 people who speak French, and 3 people who speak both languages. How many people in the room speak only one language?"} {"instruction": "A chat. There are two boxes in front of you. One box contains only apples, one box contains only oranges, and one box contains a mix of both apples and oranges. The boxes are labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" However, all three labels are incorrect. Without looking inside, you can pick one fruit from one box. How can you determine which box contains which fruit?"} {"instruction": "A chat. A logistics company needs to transport goods from its warehouse to multiple retail stores across the country. There are 200 stores in total, with an average distance of 100 miles between the warehouse and each store. The company has a fleet of 50 trucks, each with a maximum capacity of 20 tons and a fuel efficiency of 6 miles per gallon. The cost of diesel fuel is $3.00 per gallon. Calculate the total transportation cost for one round trip to all stores, considering truck capacities, distances, and fuel costs. Also, estimate the time required for this operation, assuming each truck travels at an average speed of 55 mph and spends 2 hours loading/unloading at each location.\n"} {"instruction": "A chat. Three friends are comparing their ages. Alice is older than Bob, and Bob is younger than Carol. Who is the youngest among them?"} {"instruction": "A chat. A factory produces 500 units of a product every day. Each unit has a probability of 0.02 of being defective. What is the expected number of defective units produced per day?"} {"instruction": "A chat. There are 5 red balls and 3 blue balls in a bag. You take out one ball at random, then put it back and mix the balls again before taking out another ball. What is the probability of getting a red ball followed by a blue ball?"} {"instruction": "A chat. If an airplane flies at an average speed of 550 miles per hour and it takes 6 hours to reach its destination, how far has it traveled?"} {"instruction": "A chat. If a car travels at a constant speed of 50 miles per hour, how far will it travel in 30 minutes?"} {"instruction": "A chat. A hospital is planning to expand its emergency department by adding more beds and hiring additional staff. The current emergency department has 30 beds, with an average occupancy rate of 80%. To maintain a maximum waiting time of 1 hour for patients, the hospital needs to increase its bed capacity by 50%. Calculate the number of new beds required and estimate the number of additional nurses needed, considering that each nurse can attend to 5 patients at a time during their 8-hour shift. Also, factor in the need for overlapping shifts to cover breaks and handover periods.\n"} {"instruction": "A chat. In a room full of people, 30% are wearing glasses, and 20% are wearing hats. If 10% are wearing both glasses and hats, what percentage of people are wearing either glasses or hats?"} {"instruction": "A chat. A cruise line is planning to launch a new ship with a capacity of 3,000 passengers. They need to determine the optimal number of crew members required to provide excellent service while maintaining operational efficiency. Crew members work in various departments, including housekeeping, food and beverage, entertainment, and guest services. Calculate the total number of crew members needed based on industry standards and best practices, taking into account factors such as passenger-to-crew ratios, workload distribution, and shift schedules.\n"} {"instruction": "A chat. A rectangular garden has a length of 25 meters and a width of 10 meters. If the owner wants to increase the area by 50% by only increasing the length, what will be the new length?"} {"instruction": "A chat. Using Laplace transforms, solve the following linear ordinary differential equation with constant coefficients:\n y''(t) + 4y'(t) + 4y(t) = e^-2t\nShow your work and explain each step.\n"} {"instruction": "A chat. A train travels at a constant speed between two cities that are 240 miles apart. It takes 4 hours to complete the journey. If the train stops at a station exactly halfway between the two cities for 30 minutes, how long does the entire journey take?"} {"instruction": "A chat. A father has three sons named Tom, Dick, and Harry. Each son has an older sister. How many children does the father have?"} {"instruction": "A chat. A box contains red, blue, and green balls. The probability of picking a red ball is 1/3, and the probability of picking a blue ball is 1/4. What is the probability of picking a green ball?"} {"instruction": "A chat. There are 4 red balls and 6 blue balls in a box. You randomly pick one ball, then without replacing it, you pick another ball. What is the probability that both balls picked are of different colors?"} {"instruction": "A chat. A water tank is being filled at a rate of 25 liters per minute. If it takes 2 hours to fill the tank completely, what is the total capacity of the tank in liters?"} {"instruction": "A chat. In a group of 100 people, 65 people like chocolate ice cream, 40 people like vanilla ice cream, and 20 people like both chocolate and vanilla. How many people in the group don't like either chocolate or vanilla ice cream?"} {"instruction": "A chat. A farmer has chickens and rabbits in his farm. There are a total of 30 heads and 90 legs among them. How many chickens and rabbits does he have?"} {"instruction": "A chat. A hospital is trying to optimize its emergency room operations. They currently have 15 doctors working in shifts, with an average shift length of 12 hours. Each doctor sees an average of 4 patients per hour. The hospital wants to reduce patient wait times by increasing the number of doctors on duty during peak hours (6 PM - 12 AM). Calculate the additional number of doctors needed to handle the increased patient volume during peak hours, assuming that the patient influx doubles during this time period.\n"} {"instruction": "A chat. An airline wants to optimize its flight schedule to maximize revenue and minimize operational costs. The airline operates a fleet of 50 planes, each with a capacity of 150 passengers. They offer three types of flights: short-haul (1-3 hours), medium-haul (4-6 hours), and long-haul (7+ hours). The ticket prices for these flights are $100, $300, and $500, respectively. Determine the optimal distribution of flights among the three categories to achieve maximum revenue, considering factors like fuel consumption, crew costs, and maintenance expenses."} {"instruction": "A chat. If you have a rectangular prism with a length of 5 inches, a width of 4 inches, and a height of 6 inches, what is its surface area?"} {"instruction": "A chat. A company has a monthly budget of $50,000. If they spend 30% on salaries, 20% on rent, and 10% on utilities, how much money is left for other expenses?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding new electric buses. The city currently has 150 diesel buses, each with a seating capacity of 60 passengers. The new electric buses can accommodate 80 passengers each and have an initial cost of $500,000 per bus. The city wants to replace all the diesel buses within three years while maintaining the same overall passenger capacity. Calculate the number of electric buses needed, the total cost for purchasing these buses, and the annual budget required for this transition.\n"} {"instruction": "A chat. If you drive at an average speed of 45 miles per hour for 2 hours and 30 minutes, how far will you travel?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed of 60 mph. The distance between the cities is 180 miles. If it leaves City A at 3 PM, what time will it arrive in City B if there is a one-hour time difference between the cities (City B being one hour ahead)?"} {"instruction": "A chat. A train leaves Station A and heads towards Station B, which is 300 miles away. At the same time, another train leaves Station B and heads towards Station A. The first train travels at 70 miles per hour, while the second train travels at 80 miles per hour. When do the trains meet?"} {"instruction": "A chat. A town has a population of 8000 people. If 55% of them are adults, how many children are there in the town? Include your logic."} {"instruction": "A chat. If a train travels at an average speed of 80 kilometers per hour for 1 hour and 30 minutes, how far does it travel?"} {"instruction": "A chat. There are 50 people in a room. Half of them are wearing glasses, one-third of them are wearing hats, and one-sixth of them are wearing both glasses and hats. How many people are not wearing either glasses or hats?"} {"instruction": "A chat. If I have a bag with 3 red balls and 2 blue balls, how many dogs are in the bag?"} {"instruction": "A chat. A train leaves Town A at 10:00 AM traveling at 60 mph towards Town B. Another train leaves Town B at 11:00 AM traveling at 90 mph towards Town A. The distance between the towns is 300 miles. At what time will the trains meet?"} {"instruction": "A chat. In a village, there are 50 houses. Each house has a dog that barks at night. One day, the mayor of the village decided to build a wall around his house to block out the noise from the dogs. The wall reduced the number of dogs he could hear by half. How many dogs can the mayor still hear?"} {"instruction": "A chat. In a small town, there are 10 houses on one side of the street and 15 houses on the other side. If each house has at least one cat and the total number of cats in all the houses is 50, can we determine which side of the street has more cats?"} {"instruction": "A chat. Solve the equation: 3x - 7 = 2x + 8."} {"instruction": "A chat. If a car rental company has 100 cars, and on average 80% of them are rented out each day, how many days will it take for the company to rent out 1,000 cars?"} {"instruction": "A chat. In a class of 20 students, there are 12 boys and 8 girls. If half of the boys wear glasses and one-third of the girls wear glasses, how many students in total do not wear glasses?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 km/h. On its way back from Town B to Town A, it travels at a constant speed of 90 km/h. What is the average speed of the train for the entire round trip?"} {"instruction": "A chat. A train travels at a speed of 60 km/h for the first hour, then speeds up to 80 km/h for the next two hours. What is the average speed of the train during these three hours?"} {"instruction": "A chat. Four friends are comparing their ages. Alice is older than Bob but younger than Charlie. David is younger than Alice but older than Bob. Who is the youngest among the four friends?"} {"instruction": "A chat. A water tank can hold 200 liters of water. If a faucet fills the tank at a rate of 5 liters per minute, how long will it take to fill the tank completely?"} {"instruction": "A chat. A train travels at a constant speed between two cities, which are 200 miles apart. It takes the train 4 hours to travel from City A to City B. On its return journey, the train stops for 30 minutes at a station halfway between the two cities. How long does it take for the train to travel from City B back to City A?"} {"instruction": "A chat. If a car is traveling at 65 miles per hour, how far will it travel in 2 hours and 30 minutes?"} {"instruction": "A chat. A train travels at an average speed of 60 km/h for the first half of its journey and then increases its speed to 80 km/h for the second half of the journey. If the total distance traveled is 280 km, how long did it take for the entire journey?"} {"instruction": "A chat. In a bag, there are 5 red balls, 7 blue balls, and 8 green balls. If you randomly pick one ball from the bag, what is the probability that it will be either red or blue?"} {"instruction": "A chat. In a game of roulette, what is the probability of the ball landing on a red number three times in a row?"} {"instruction": "A chat. A company sells two types of products, X and Y. The cost to produce each unit of product X is $30, while the cost to produce each unit of product Y is $50. The company produces 100 units of product X and 150 units of product Y per day. What is the average cost per unit produced by the company?"} {"instruction": "A chat. A large grocery store chain wants to optimize its product distribution strategy by analyzing delivery times, warehouse locations, and transportation costs. The company currently has 5 warehouses, each serving 20 stores within a 50-mile radius. On average, each store receives deliveries three times per week, with a total weekly transportation cost of $1,000 per store. Develop a plan to reduce transportation costs while maintaining or improving delivery times, providing step-by-step reasoning."} {"instruction": "A chat. In a school, there are 800 students, and 60% of them play sports. Among those who play sports, 40% are girls. How many girls play sports in this school?"} {"instruction": "A chat. A multinational corporation is looking to improve its supply chain efficiency by investing in new technology and infrastructure. The company operates in 20 countries and has a network of 500 suppliers. Their goal is to reduce overall logistics costs by 15% within the next two years. Identify the key areas where improvements can be made and provide a step-by-step plan for achieving the desired cost reduction.\n"} {"instruction": "A chat. A farmer has a rectangular field with a length of 200 meters and a width of 150 meters. He wants to plant corn in 40% of the field and wheat in the remaining area. How many square meters will be planted with wheat?"} {"instruction": "A chat. In a bag, there are 10 red balls and 20 blue balls. If you randomly pick one ball out of the bag, what is the probability that it is red? Now, if you put the first ball back into the bag and then add 10 more red balls, what is the new probability of picking a red ball?"} {"instruction": "A chat. A logistics company is analyzing its warehouse operations to improve efficiency and reduce costs. They currently operate five warehouses across the country, each with varying levels of inventory turnover, labor costs, and transportation expenses. Develop a plan to consolidate or reorganize the existing warehouses based on factors such as regional demand, shipping routes, and operational efficiencies. Explain your reasoning and provide calculations to support your recommendations."} {"instruction": "A chat. A hospital wants to improve its emergency response time by analyzing the average time taken by ambulances to reach patients in different parts of the city. The city is divided into four zones (A, B, C, and D), each with varying population densities and traffic conditions. Provide a step-by-step plan on how to collect data from ambulance dispatch records, GPS tracking systems, and patient feedback forms to calculate the average response time for each zone and identify areas that need improvement.\n"} {"instruction": "A chat. If a store sells apples for $2 per pound and oranges for $3 per pound, how many pounds of each fruit should a customer buy to spend exactly $20 while buying twice as many pounds of apples as oranges?"} {"instruction": "A chat. In a bag, there are 8 red balls and 12 blue balls. You have to pick three balls without looking. What is the probability of picking exactly two red balls and one blue ball?"} {"instruction": "A chat. A train leaves Station A at 60 mph and another train leaves Station B at 80 mph. Both trains are traveling towards each other on parallel tracks. If the distance between the two stations is 210 miles, how long will it take for the two trains to meet?"} {"instruction": "A chat. Solve the expression: ((4^2 - 3) / 5) + 6 * (9 - 2)"} {"instruction": "A chat. In a group of 20 people, there are 12 men and 8 women. Half of the men wear glasses, while one-third of the women wear glasses. How many people in the group do not wear glasses?"} {"instruction": "A chat. A company sells products at a profit margin of 25%. If they sell an item for $150, what was their cost price for the item?"} {"instruction": "A chat. A company spends $15,000 on employee salaries each month. If they decide to give a 10% raise to all employees, what will be their new monthly salary expense?"} {"instruction": "A chat. A group of friends decides to go on a road trip. They plan to drive 500 miles each day for 4 days. However, on the second day, they decide to take a detour and only drive 400 miles. How many more miles do they need to drive on the fourth day to complete their original plan?"} {"instruction": "A chat. A water tank has a capacity of 500 liters and is currently filled with 300 liters of water. If a tap connected to the tank releases water at a constant rate of 5 liters per minute, how long will it take for the tank to be empty?"} {"instruction": "A chat. A store sells 3 types of apples: Fuji, Gala, and Granny Smith. The store has 20 Fuji apples, 15 Gala apples, and 25 Granny Smith apples. If you choose one apple at random, what is the probability that it will be a Gala apple?"} {"instruction": "A chat. Calculate the derivative of f(x) = 4x^3 - 2x^2 + 7x - 9."} {"instruction": "A chat. A book has 200 pages. You read 20 pages per day but skip every 10th page. How many days will it take to finish the book? Provide step-by-step logic."} {"instruction": "A chat. A cylindrical water tank has a radius of 3 meters and a height of 4 meters. How many liters of water can it hold when filled to capacity? (1 cubic meter = 1000 liters)"} {"instruction": "A chat. A cruise ship company plans to build a new luxury liner with a capacity of 3,000 passengers. They want to offer various dining options onboard, including buffet-style restaurants, fine dining establishments, and casual cafes. To maintain a high level of service, the company aims for a 1:4 staff-to-passenger ratio in all dining areas. Calculate the total number of dining staff required for the ship, considering that each staff member works an 8-hour shift and the dining areas operate 18 hours a day. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A rectangular garden has a length that is twice its width. If the perimeter of the garden is 60 feet, what are the dimensions of the garden?"} {"instruction": "A chat. A restaurant sells two types of sandwiches: turkey and ham. The turkey sandwich costs $6.50, and the ham sandwich costs $5.25. If the restaurant sells 35 turkey sandwiches and 45 ham sandwiches in one day, what is their total revenue from sandwich sales for that day?"} {"instruction": "A chat. In a group of people, one-third of them wear glasses, one-fourth of them wear contact lenses, and the rest do not use any vision correction. If there are 48 people in total, how many people don't use any vision correction?"} {"instruction": "A chat. An airline is evaluating the feasibility of introducing non-stop flights between two major cities located 8,000 miles apart. The airline's long-haul aircraft can carry up to 300 passengers and has a maximum range of 7,500 miles. To cover the distance, the airline needs to make a technical stop for refueling at an intermediate airport located 4,000 miles from each city. Calculate the additional time required for the technical stop and compare it with the total flight time if non-stop flights were possible. Also, consider factors such as passenger demand, aircraft utilization, and fuel costs in your analysis.\n"} {"instruction": "A chat. In how many ways can you choose a committee of 4 people from a group of 10 people if at least one man and one woman must be included?"} {"instruction": "A chat. A farmer has a rectangular field with an area of 300 square meters. He wants to build a fence around it using exactly 80 meters of fencing material. What are the dimensions of the field?"} {"instruction": "A chat. Determine the eigenvalues and eigenvectors of the following matrix:\n | 2 1 |\n | 1 2 |\n"} {"instruction": "A chat. If you flip a fair coin 10 times, what is the probability of getting exactly 7 heads?"} {"instruction": "A chat. A factory produces widgets at a rate of 10 per hour. Each widget takes 30 minutes to be inspected and packaged. If the factory operates for 8 hours a day, how many widgets can it produce, inspect, and package in one day?"} {"instruction": "A chat. There are 12 apples in a basket. You have three friends, and you want to give each of them an equal number of apples without dividing any apple. How many apples should you give to each friend?"} {"instruction": "A chat. In a room, there are 4 red chairs, 6 blue chairs, and 5 green chairs. If you randomly pick one chair from the room, what is the probability that it will be either red or blue?"} {"instruction": "A chat. A factory produces 1200 units of product A and 800 units of product B every day. If it takes 4 days for a shipment to reach its destination, how many total units will be delivered in a single shipment?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. Halfway through the journey, it stops for 15 minutes. If the entire trip takes 2 hours and 45 minutes, how long would the trip take without the stop?"} {"instruction": "A chat. A factory produces 100 units of product per day at a cost of $20 per unit. The factory operates 25 days per month and has fixed costs of $15,000 per month. What is the total monthly production cost?"} {"instruction": "A chat. In a group of people, there are twice as many women as men. If 10 more men join the group, there will be an equal number of men and women. How many people were in the group initially?"} {"instruction": "A chat. A father has three sons named John, Jack, and James. Each son has one sister. How many children does the father have in total?"} {"instruction": "A chat. A car dealership has 200 cars on its lot. Of these cars, 40% are sedans, 30% are SUVs, and the rest are trucks. How many more sedans than trucks are there on the lot?"} {"instruction": "A chat. A gardener can plant 10 flowers in an hour. How long will it take to plant 40 flowers in two garden beds with equal space for flowers?"} {"instruction": "A chat. A store sells apples in bags containing 6 apples each. If they sell 200 bags per day, how many individual apples do they sell in a month (assuming 30 days)?"} {"instruction": "A chat. A store sells oranges in packs of 6 and apples in packs of 4. If a customer buys 3 packs of oranges and 2 packs of apples, how many individual fruits did they purchase?"} {"instruction": "A chat. Calculate the sum of all even numbers between 10 and 20."} {"instruction": "A chat. If a factory produces 500 units of product per day and operates 5 days a week, how many units will be produced in a year, assuming there are no holidays or shutdowns?"} {"instruction": "A chat. There are three boxes. One box contains only apples, another box contains only oranges, and the last box contains both apples and oranges. All boxes are labeled incorrectly. You can pick one fruit from one box without looking inside. How many fruits do you need to pick to determine the contents of all boxes?"} {"instruction": "A chat. There are 6 people in a room, including Tom and Jerry. If everyone shakes hands with each other exactly once, how many handshakes will there be?"} {"instruction": "A chat. A train leaves Station A and travels at a speed of 80 km/h. Two hours later, another train leaves Station A traveling in the same direction at a speed of 100 km/h. How long will it take for the second train to catch up with the first train?"} {"instruction": "A chat. Solve the system of equations: y = 2x + 1 and y = -x + 5."} {"instruction": "A chat. In a small town, there are 20 houses on one side of the street and 15 houses on the other side. Each house has a dog living in it. One day, all the dogs from the houses on one side of the street got together for a playdate at the park. If there were 35 dogs at the park that day, how many dogs live on the side with 20 houses?"} {"instruction": "A chat. If it takes John 5 hours to paint a room by himself and it takes Jane 3 hours to paint the same room by herself, how long will it take them to paint the room together?"} {"instruction": "A chat. Determine the limit as x approaches infinity of (1/x)."} {"instruction": "A chat. In an election, Candidate A received 60% of the total votes, while Candidate B received the remaining 40%. If Candidate A won by 12,000 votes, what was the total number of votes cast in the election?"} {"instruction": "A chat. An office building contains 15 floors. Each floor has 4 offices. Each office has 6 rooms. How many rooms are there in the entire building? Show your work."} {"instruction": "A chat. There are 100 apples on a table. You take away 50 apples, and your friend takes away 25 apples. How many apples are left on the table?"} {"instruction": "A chat. A car rental agency has a fleet of 120 cars. They rent out 80% of their cars on weekdays and 50% of their cars on weekends. How many cars do they rent out over an entire week, assuming a week consists of 5 weekdays and 2 weekend days?"} {"instruction": "A chat. If a baker uses 2 eggs to make 3 cupcakes, how many eggs will he use to make 18 cupcakes? Show your calculation process."} {"instruction": "A chat. If a factory produces 450 items per hour, and it operates for 16 hours a day, how many days will it take to produce 144,000 items?"} {"instruction": "A chat. A mixture contains alcohol and water in the ratio of 3:5. If there are 24 liters of alcohol in the mixture, how many liters of water are present?"} {"instruction": "A chat. A group of people donated money for charity. The average donation per person was $40, and the total amount collected was $2,000. How many people were in the group?"} {"instruction": "A chat. If I have 12 pencils and you give me 5 pens, how many erasers do I have?"} {"instruction": "A chat. A father has three sons. Each son has two children - one boy and one girl. How many grandchildren does the father have?"} {"instruction": "A chat. A bag contains 4 red balls and 6 blue balls. If you draw two balls at random without replacement, what is the probability that both balls are of the same color?"} {"instruction": "A chat. If a restaurant serves 200 customers per day on average, and each customer spends $25 on their meal, what would be the restaurant's annual revenue if they operate 365 days a year?"} {"instruction": "A chat. If you roll a fair six-sided die twice, what is the probability that the sum of the numbers rolled is even?"} {"instruction": "A chat. Calculate the integral of the function f(x) = x^2 - 3x + 2 from x = 0 to x = 4. Provide step-by-step reasoning.\n"} {"instruction": "A chat. It takes 30 minutes to charge a phone up to 50%. How long will it take to charge four phones to 100%?"} {"instruction": "A chat. What is the sum of the interior angles of a hexagon?"} {"instruction": "A chat. A box contains red balls and blue balls. If you pick two balls at random without replacement, the probability of both being red is 1/2. What is the ratio of red balls to blue balls in the box?"} {"instruction": "A chat. A factory produces 2000 units of a product in 8 hours. If it takes 4 workers to produce one unit in an hour, how many workers are there in the factory?"} {"instruction": "A chat. A rectangular garden is 12 meters long and 8 meters wide. What is the area of the garden?"} {"instruction": "A chat. Determine the hom*otopy classes of maps from S^1 to S^1."} {"instruction": "A chat. A factory produces widgets in batches of 100. In each batch, 10% of the widgets are defective. If the factory produces 5 batches of widgets, how many non-defective widgets will it produce?"} {"instruction": "A chat. A group of people wants to plant 3,000 trees in a park. If each person can plant 25 trees per day and they want to finish the project in 6 days, how many people are needed?"} {"instruction": "A chat. A train leaves Town A and heads towards Town B at a speed of 60 km/h. At the same time, another train leaves Town B and heads towards Town A at a speed of 90 km/h. The distance between the two towns is 450 km. How long will it take for the two trains to meet?"} {"instruction": "A chat. If a company produces 10,000 units of product A per month and increases production by 15% each month, how many units will be produced in the fourth month?"} {"instruction": "A chat. A company has a total of 120 employees, consisting of managers and workers. If there are twice as many workers as managers, how many workers are there?"} {"instruction": "A chat. A plane crashes exactly on the border between two countries. In which country do they bury the survivors?"} {"instruction": "A chat. A committee of 5 people must be formed from a group of 7 mathematicians and 6 physicists. If at least 3 members of the committee must be mathematicians, how many different committees can be formed? Explain your thought process."} {"instruction": "A chat. If a rectangular garden measures 20 feet by 15 feet, what is its area in square meters?"} {"instruction": "A chat. A company produces 500 units of a product in its first year and then increases production by 20% each subsequent year. How many units will the company produce in its fifth year?"} {"instruction": "A chat. In a certain city, there are 20,000 registered voters. During an election, 60% of these voters turn out to vote. If a candidate needs at least 55% of the votes to win, how many votes does the candidate need?"} {"instruction": "A chat. A store sells apples for $3 per pound and oranges for $4 per pound. If a customer buys 5 pounds of apples and 7 pounds of oranges, how much will they pay?"} {"instruction": "A chat. A train travels between two cities with a total distance of 450 miles. The train takes 6 hours to complete the journey. What is its average speed?"} {"instruction": "A chat. A bakery sells cupcakes in boxes of 6, 9, and 12. If a customer wants to buy exactly 45 cupcakes, what is the minimum number of boxes they need to purchase?"} {"instruction": "A chat. A train covers a distance of 120 miles between two cities in 3 hours. What is its average speed in miles per hour?"} {"instruction": "A chat. A train leaves Station A at 2 pm and travels towards Station B at a constant speed of 60 mph. Another train leaves Station B at 3 pm and travels towards Station A at a constant speed of 90 mph. The distance between the two stations is 450 miles. At what time will the trains pass each other?"} {"instruction": "A chat. A car rental company is analyzing its fleet utilization to maximize profits. They have a fleet of 1,000 vehicles, including economy, midsize, and luxury cars. The daily rental rates vary between $30 and $150 depending on the vehicle type. The company aims to achieve an 80% utilization rate across its fleet. Calculate the potential daily revenue and propose strategies to improve vehicle utilization and overall profitability.\n"} {"instruction": "A chat. A factory produces 500 units of a product per day. The defect rate is 2%. How many defective units will be produced in a week (7 days)?"} {"instruction": "A chat. A father has three daughters named Alice, Betty, and Cathy. Alice is older than Betty, but younger than Cathy. Their ages are consecutive prime numbers. What are their ages?"} {"instruction": "A chat. A box contains 4 red balls and 6 blue balls. If you draw two balls at random without replacement, what is the probability that both balls are red?"} {"instruction": "A chat. A train leaves Station A and travels towards Station B at a speed of 60 mph. At the same time, another train leaves Station B and travels towards Station A at a speed of 90 mph. The distance between the two stations is 300 miles. How long will it take for the two trains to meet?"} {"instruction": "A chat. A large hospital wants to optimize its emergency room (ER) staffing levels based on patient arrival patterns. On average, the ER receives 500 patients per day, with arrivals peaking between 6 PM and midnight. During peak hours, there are twice as many patients arriving compared to non-peak hours. The hospital aims to maintain an average waiting time of no more than 20 minutes per patient. Assuming it takes an ER nurse 30 minutes to attend to each patient, calculate the number of nurses needed during peak and non-peak hours. Consider that each nurse works an 8-hour shift.\n"} {"instruction": "A chat. A train leaves Station A heading towards Station B, which is 100 miles away. At the same time, another train leaves Station B heading towards Station A. The first train travels at a speed of 40 mph, while the second train travels at a speed of 60 mph. When will the two trains meet?"} {"instruction": "A chat. You have a basket containing five apples. You take out three. How many do you have now?"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour. It makes three stops along its route, each lasting 15 minutes. If the total travel time from start to finish is 3 hours and 45 minutes, what is the distance between the starting point and the final destination?"} {"instruction": "A chat. In a town, 60% of the population owns a car, while 40% own a bicycle. If 20% of the population owns both a car and a bicycle, what percentage of the population doesn't own either mode of transportation?"} {"instruction": "A chat. If a car factory produces 15 cars every hour, how many cars will it produce in a week? Show your work."} {"instruction": "A chat. In a family gathering, there are 10 people who can speak English, 8 people who can speak French, and 6 people who can speak Spanish. Among them, 4 people can speak all three languages. What is the minimum number of people at the gathering?"} {"instruction": "A chat. If a restaurant serves an average of 150 customers per day and each customer spends an average of $25 on their meal, how much will the restaurant make in one year if it is open every day?"} {"instruction": "A chat. A farmer has a rectangular field with a perimeter of 380 meters. The length of the field is twice its width. What are the dimensions of the field?"} {"instruction": "A chat. A square garden has a side length of 20 feet. Along one side of the garden, a rectangular flower bed is added with a width of 3 feet and a length equal to the side length of the garden. What is the area of the remaining part of the garden after adding the flower bed?"} {"instruction": "A chat. A man buys a horse for $60. He sells it for $70. Then he buys the same horse back for $80 and sells it again for $90. What is his overall profit or loss?"} {"instruction": "A chat. A factory produces 2000 widgets per day. The production rate increases by 5% each week. How many widgets will the factory produce on the 4th week?"} {"instruction": "A chat. In a village, there are 100 houses. If every house has at least one cat and no two cats in the village have the same number of kittens, how many kittens does the cat with the most kittens have?"} {"instruction": "A chat. If you invest $10,000 at an annual interest rate of 6% compounded monthly, how much money will you have after 5 years?"} {"instruction": "A chat. In a village, there are 60 houses. Every house has a dog, and every third house has a cat. How many cats are in the village?"} {"instruction": "A chat. A sphere has a surface area of 314 square centimeters. What is its radius in centimeters?"} {"instruction": "A chat. In a class of 20 students, 12 are boys. What is the ratio of girls to boys in the class? Show your steps."} {"instruction": "A chat. A library has 5 shelves and each shelf can hold 30 books. How many books can the library hold if they add another 10 shelves of the same size?"} {"instruction": "A chat. A box contains 5 defective light bulbs and 20 non-defective light bulbs. If you randomly select 3 light bulbs from the box without replacement, what is the probability that at least one of them will be defective?"} {"instruction": "A chat. A company produces 1500 widgets per day at a cost of $5 per widget. They sell each widget for $8. What is their daily profit?"} {"instruction": "A chat. A train travels from City A to City B at a speed of 60 mph. It takes a 30-minute break at a station halfway between the two cities. If the total travel time is 3 hours and 30 minutes, what is the distance between City A and City B?"} {"instruction": "A chat. Determine the Galois group of the polynomial x^4 - 5x^2 + 6."} {"instruction": "A chat. A factory produces 1200 units of a product every day. If each unit is sold for $10, how much revenue does the factory generate in one week?"} {"instruction": "A chat. A train travels from City A to City B at an average speed of 60 miles per hour. It then continues to City C at an average speed of 80 miles per hour. The distance between City A and City B is 180 miles, while the distance between City B and City C is 240 miles. How long does it take for the train to travel from City A to City C?"} {"instruction": "A chat. A store offers a discount of 20% on an item with an original price of $250. After applying the discount, there is also a sales tax of 8%. What is the final price of the item?"} {"instruction": "A chat. A clock shows the time as 3 PM. What will be the angle between the hour and minute hands at exactly 3:30 PM?"} {"instruction": "A chat. A hospital is planning to purchase new medical equipment for its radiology department. The total budget allocated for this purpose is $10 million. The hospital has narrowed down their choices to two options: Option A costs $8 million and has an annual maintenance cost of $200,000, while Option B costs $6 million with an annual maintenance cost of $400,000. Calculate the total cost of ownership for each option over a period of 10 years, considering both initial investment and maintenance costs.\n"} {"instruction": "A chat. A store sells apples and oranges. Apples cost $1 each, while oranges cost $2 each. If a customer buys 5 fruits and spends exactly $8, how many apples did they buy?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 mph. After reaching Town B, it continues to Town C at a speed of 80 mph. The total distance between Town A and Town C is 420 miles. If the trip takes 6 hours, what is the distance between Town A and Town B?"} {"instruction": "A chat. If a company produces 1000 units of a product per day, and each unit requires 2.5 kg of raw material, how many kilograms of raw material will the company need to produce these products for 30 days?"} {"instruction": "A chat. Solve the following system of equations using substitution or elimination method:\n x + y = 5\n 2x - y = 1\nExplain your reasoning.\n"} {"instruction": "A chat. In a village, there are 10 houses in a row. Every day, one house gets a delivery of apples and the next day it's the house to its right that receives the delivery. If House 1 received a delivery on Monday, which house will receive the delivery on the following Friday?"} {"instruction": "A chat. A box contains red balls and blue balls. The probability of picking a red ball is 1/3. If there are 12 blue balls in the box, how many red balls are there?"} {"instruction": "A chat. In a class of 30 students, 16 students play football, 18 students play basketball, and 8 students play both sports. How many students don't play either sport? Explain your thought process."} {"instruction": "A chat. Solve the quadratic equation: x^2 - 6x + 8 = 0"} {"instruction": "A chat. In a group of 50 people, 20 have brown eyes and 30 have blue eyes. If we randomly select two people from the group, what is the probability that both have blue eyes?"} {"instruction": "A chat. How many chairs can fit in a room if there are 10 tables and 6 lamps?"} {"instruction": "A chat. A box contains red balls and blue balls. There are twice as many red balls as blue balls. If we remove 5 red balls and add 3 blue balls, the ratio of red balls to blue balls becomes 3:2. How many red balls were initially in the box?"} {"instruction": "A chat. A car rental company wants to optimize its fleet size based on customer demand. They have a current inventory of 200 cars, which includes compact, midsize, and luxury vehicles. Compact cars make up 60% of their inventory, midsize cars account for 30%, and luxury cars represent 10%. Determine the number of each type of car in their inventory. Additionally, calculate the percentage increase or decrease in inventory needed if the company decides to change the distribution to 50% compact, 40% midsize, and 10% luxury cars. Provide step-by-step reasoning.\n"} {"instruction": "A chat. There are 5 houses in a row, each painted with a different color. The green house is immediately to the left of the white house. The blue house is somewhere to the right of the red house. The yellow house is not next to the blue or white house. Where is the green house located?"} {"instruction": "A chat. A man gave his son $100 and told him he could spend it however he wanted, but every time he spent some money, he had to give half of what he spent back to his father. How much money could the son ultimately spend?"} {"instruction": "A chat. A box contains 20 balls - 10 red, 5 blue, and 5 green. What is the probability of picking a red ball or a blue ball? Include your steps."} {"instruction": "A chat. An airport is planning to upgrade its baggage handling system to improve efficiency and reduce lost luggage incidents. The new system has an installation cost of $10 million, with annual maintenance costs of $500,000. Calculate the potential savings in terms of reduced compensation for lost luggage, considering that the airport currently handles 20 million passengers per year, with a lost luggage rate of 0.5%, and an average compensation payout of $200 per incident.\n"} {"instruction": "A chat. If a farmer has 12 acres of land and wants to divide it into rectangular plots with whole number side lengths, what are the possible dimensions of these plots?"} {"instruction": "A chat. An international shipping company wants to optimize its container loading process. They currently use three types of containers: small (20 feet), medium (40 feet), and large (53 feet). The maximum weight capacity for each container type is 25,000 lbs., 45,000 lbs., and 65,000 lbs., respectively. The company receives orders from customers with varying weights and sizes. Develop a method to determine the most efficient way to load these orders into the available containers, minimizing the number of containers used and the total shipping cost. Explain your reasoning.\n"} {"instruction": "A chat. A group of people is planning to rent a boat that costs $500 per day. If they want to split the cost equally among themselves and each person contributes $50, how many days can they rent the boat?"} {"instruction": "A chat. Solve the expression: ((7 - 2)^2 / 5) * 4 - 8 ="} {"instruction": "A chat. If you drive 350 miles at an average speed of 60 miles per hour, how long will your trip take?"} {"instruction": "A chat. (4^2 * 3) / (6 - 2)^2 ="} {"instruction": "A chat. At a party, there are 10 vegetarians and 15 non-vegetarians. If you randomly pick three people at the party, what is the probability that all three will be non-vegetarians?"} {"instruction": "A chat. A school has 400 students. If 70% of them are boys, how many girls are there in the school? Include your logic."} {"instruction": "A chat. A store sells apples for $1.50 per pound. If John buys 4 pounds of apples and gives the cashier a $10 bill, how much change will he receive?"} {"instruction": "A chat. A store sells bags of candy with an average weight of 250 grams per bag. The standard deviation of the weights is 20 grams. Assuming a normal distribution, what percentage of bags weigh between 230 and 270 grams?"} {"instruction": "A chat. A store sells three types of fruit: apples, oranges, and bananas. The ratio of apples to oranges is 3:2, and the ratio of oranges to bananas is 5:4. If there are 120 pieces of fruit in total, how many of each type of fruit does the store have?"} {"instruction": "A chat. An international food company wants to expand its product line by launching a new snack item in multiple countries simultaneously. The company plans to produce 10 million units of the snack per month, with each unit costing $0.50 to manufacture. They also need to invest in new production facilities, which will cost $50 million in total. Calculate the break-even point for this investment, assuming the snack sells for $1.00 per unit and monthly fixed costs (including labor, utilities, and marketing) are $2 million. Also, estimate the time it will take to reach this break-even point if the company expects a 20% growth in sales per month.\n"} {"instruction": "A chat. A farmer has 20 pigs and 5 cows. Each pig eats 4 pounds of food per day, while each cow eats 8 pounds of food per day. If the farmer buys enough food for one week (7 days), how many pounds of food does he need to buy?"} {"instruction": "A chat. A company spends $5000 per month on office supplies. If they can reduce their spending by 15% through cost-saving measures, how much will they save in a year?"} {"instruction": "A chat. There are 10 people in a room, including Alex and Beth. If half of the people leave the room, how many people remain?"} {"instruction": "A chat. A city is planning to build a new public transportation system that includes buses, trams, and subways. The total budget for the project is $5 billion, with 40% allocated to buses, 30% to trams, and 30% to subways. Calculate the individual budgets for each mode of transportation, and estimate the number of vehicles needed based on an average cost per vehicle ($500,000 for buses, $2 million for trams, and $10 million for subway cars). Additionally, consider maintenance costs at 10% of the initial investment per year.\n"} {"instruction": "A chat. A tree produces 200 apples in a season. Each apple weighs about 150 grams. What is the total weight of all the apples produced by the tree in a season? Show your work."} {"instruction": "A chat. A factory produces 500 units of a product per day and operates for 20 days each month. If the factory increases its daily production by 10%, how many more units will it produce over the course of one month?"} {"instruction": "A chat. In a game, Alice scores twice as many points as Bob, and Bob scores three times as many points as Carol. If Carol scores 4 points, how many points does Alice score?"} {"instruction": "A chat. A standard deck of playing cards contains 52 cards. If you draw 5 cards from the deck without replacement, what is the probability of getting a flush (all five cards having the same suit)?"} {"instruction": "A chat. There are 10 people at a party. Everyone shakes hands with everyone else exactly once. How many handshakes occur?"} {"instruction": "A chat. If a car dealership sells 15 cars in the first week, and their sales increase by 10% each week after that, how many cars will they sell in total over a 4-week period?"} {"instruction": "A chat. How many miles would a person walk in one month if they walked 3 miles every day?"} {"instruction": "A chat. In a group of 25 people, 10 are wearing glasses and 15 are not. If we randomly select two people from the group, what is the probability that both selected individuals are wearing glasses? Provide step-by-step logic."} {"instruction": "A chat. Four friends have a combined age of 100 years. Alice is twice as old as Bob, Carol is 10 years younger than Alice, and Dave is 5 years older than Bob. How old is each friend?"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B each day. Product A requires 2 workers for production, while product B requires 3 workers. How many total workers are needed for both products' daily production?"} {"instruction": "A chat. A rectangular garden has a length that is 5 meters more than twice its width. If the perimeter of the garden is 46 meters, what are the dimensions of the garden?"} {"instruction": "A chat. There are 100 people in a room. 50% of them have blue eyes, 25% have green eyes, and the rest have brown eyes. If 20% of the people with blue eyes wear glasses, how many people with blue eyes do not wear glasses?"} {"instruction": "A chat. A store sells three types of items: A, B, and C. The store sold 500 items last month, with item A accounting for 40% of sales, item B accounting for 35%, and item C accounting for 25%. How many more of item A were sold compared to item C?"} {"instruction": "A chat. There are 6 apples and 8 oranges in a basket. If you randomly pick one fruit from the basket without looking, what is the probability that it's an apple?"} {"instruction": "A chat. In a bag, there are red, blue, and green marbles. There are twice as many red marbles as blue marbles, and three times as many green marbles as red marbles. If there are 72 marbles in total, how many blue marbles are there?"} {"instruction": "A chat. Solve: 5(2x - 4) = 10(x - 6)"} {"instruction": "A chat. A university wants to assess the effectiveness of its scholarship program in increasing student enrollment and retention rates. They have data on the number of scholarships awarded, total scholarship amounts, average tuition fees, and enrollment numbers before and after implementing the program. Calculate the impact of the scholarship program on enrollment and retention rates, taking into account the financial investment made by the university. Provide a detailed explanation of your approach."} {"instruction": "A chat. If you flip a coin twice, what is the probability of getting two heads? Show your work."} {"instruction": "A chat. If I toss a coin twice, what is the probability of getting at least one head? Walk me through your solution."} {"instruction": "A chat. In a box of chocolates, 18 are milk chocolate, 12 are dark chocolate, and the rest are white chocolate. If the box contains 40 chocolates in total, how many are white chocolate? Show your work."} {"instruction": "A chat. If a train travels at an average speed of 45 mph and takes 6 hours to reach its destination, how far away is the destination?"} {"instruction": "A chat. A man buys a horse for $60. He sells the horse for $70. He then buys the horse back for $80. And he sells the horse again for $90. How much profit did the man make? Show your work."} {"instruction": "A chat. A movie theater has 20 rows with 15 seats in each row. If the theater sells out for a show, how many people attended the show? Show your work."} {"instruction": "A chat. A box contains 10 red balls, 20 blue balls, and 30 green balls. If you randomly pick one ball from the box, what is the probability that it is either red or blue? Show your steps."} {"instruction": "A chat. A train leaves a station and travels east at 60 mph. Two hours later, another train leaves the same station and travels in the same direction at 90 mph. How many hours after the first train left will it take for the second train to catch up with the first train?"} {"instruction": "A chat. There are 7 billion people on Earth. Each person breathes an average of 16 times per minute. How many breaths do all humans take together in one hour? Break down your answer."} {"instruction": "A chat. In a town, there are 20 houses. Each house has either blue or red doors. If a house has a blue door, then the neighboring houses must have red doors. If a house has a red door, it can have neighbors with either red or blue doors. There are more houses with red doors than blue doors. What is the maximum number of houses that can have blue doors?"} {"instruction": "A chat. A store sells three types of products: Product A costs $5, Product B costs $10, and Product C costs $20. The store sold 50 units of Product A, 30 units of Product B, and 20 units of Product C. What was the total revenue generated from these sales?"} {"instruction": "A chat. If a car rental company has 50 cars, and each car is rented out for an average of 20 days per month at a rate of $40 per day, what is the total monthly revenue generated by the company?"} {"instruction": "A chat. If Tom can paint a fence in 6 hours and Jerry can paint the same fence in 8 hours, how long would it take them to paint the fence together?"} {"instruction": "A chat. A box contains 10 red pens, 15 black pens, and 5 blue pens. If you randomly pick three pens without replacement, what is the probability that you get at least one red pen?"} {"instruction": "A chat. How many miles does light travel in one Earth day?"} {"instruction": "A chat. An ant travels at a speed of 1 cm per second. How long would it take for the ant to travel 1 meter? Show your work."} {"instruction": "A chat. Calculate the volume of a cone with radius 3 cm and height 7 cm."} {"instruction": "A chat. A factory produces 10 cars every day. On Monday, the factory produced 5 red cars, 3 blue cars, and 2 green cars. What color were the majority of the cars produced on Tuesday?"} {"instruction": "A chat. If a person consumes an average of 2500 calories per day, how many calories will they consume in a month with 31 days?"} {"instruction": "A chat. Solve the expression (6 * 4) / 2 - 5 * (3 - 1)."} {"instruction": "A chat. A certain type of tree grows at a rate of 1.5 feet per year. If a sapling is planted and measures 3 feet tall initially, how tall will it be after 10 years?"} {"instruction": "A chat. A train leaves Station A at 8:00 AM traveling at 60 miles per hour. Another train leaves Station B at 9:00 AM traveling at 80 miles per hour. If both trains are heading towards each other on parallel tracks and the distance between the stations is 300 miles, when will they meet?"} {"instruction": "A chat. A shipping company wants to improve its delivery times by optimizing routes and reducing fuel consumption. The company operates a fleet of 1,000 trucks, each covering an average distance of 300 miles per day. Their goal is to reduce total daily mileage by 10% without compromising delivery times. Identify potential strategies for achieving this goal and provide a step-by-step plan for implementation, including route optimization software, driver training, and vehicle maintenance.\n"} {"instruction": "A chat. At a party, there are 10 people who can speak English, 8 people who can speak French, and 6 people who can speak both English and French. How many people at the party can speak either English or French?"} {"instruction": "A chat. Four people need to cross a bridge at night. They have only one flashlight, and the bridge is too dangerous to cross without it. The four people can cross the bridge in 1, 2, 4, and 8 minutes, respectively. Only two people can cross the bridge at a time, and they must travel at the speed of the slower person. What is the minimum amount of time needed for all four people to cross the bridge?"} {"instruction": "A chat. A city is planning to build a new sports stadium with a seating capacity of 50,000 spectators. The construction cost is estimated at $600 million, and annual operating expenses are projected to be $20 million. The stadium will host various events throughout the year, generating an average revenue of $30 per ticket sold. Estimate the number of events and total attendance required each year to cover both the construction and operating costs within a 10-year timeframe.\n"} {"instruction": "A chat. A cruise ship company is analyzing its passenger capacity and revenue generation. The ship has 500 cabins, with an average occupancy rate of 80%. Each cabin can accommodate up to 4 passengers, and the average ticket price per passenger is $1,000. Calculate the total potential revenue for a fully booked cruise and determine how much additional revenue could be generated if the occupancy rate increased by 10%.\n"} {"instruction": "A chat. In a class of 30 students, there are 12 boys who play soccer and 10 girls who play basketball. If 5 boys also play basketball and 3 girls also play soccer, how many students in the class do not play either sport? Provide step-by-step logic."} {"instruction": "A chat. In a room, there are 10 people who speak English, 7 people who speak French, and 3 people who speak both English and French. How many people are in the room?"} {"instruction": "A chat. You have 24 hours to read a book of 480 pages. If you read at a constant pace, how many pages should you read per hour? Include your logic."} {"instruction": "A chat. A group of people is planning a trip and needs to rent cars. Each car can hold 4 passengers. If there are 25 people going on the trip, how many cars do they need to rent?"} {"instruction": "A chat. A company has an annual revenue of $1,000,000 and spends 40% on salaries, 25% on office expenses, and 10% on marketing. What is the remaining percentage of the revenue that can be used for other purposes?"} {"instruction": "A chat. There are 100 people in a room. 99% of them are wearing glasses. How many people must leave the room to make the percentage of people wearing glasses exactly 98%?"} {"instruction": "A chat. A gardener takes 2 hours to water 10 plants using a single watering can. How long will it take to water 40 plants?"} {"instruction": "A chat. A committee of 7 people needs to be formed from a group of 12 men and 8 women. If at least 3 women must be on the committee, in how many ways can the committee be formed?"} {"instruction": "A chat. A factory produces widgets in batches of 100. Each widget has a 5% chance of being defective. The factory tests 10 widgets from each batch. If at least one of the tested widgets is found to be defective, the entire batch is rejected and reworked. What is the probability that a batch will be accepted after testing?"} {"instruction": "A chat. A rectangle has a length of 12 inches and a width of 8 inches. If you cut the rectangle into four equal squares along its length and width, what is the side length of each square?"} {"instruction": "A chat. If a bacteria population doubles every 20 minutes, how many times will it double in 6 hours?"} {"instruction": "A chat. If a car travels at an average speed of 60 miles per hour on a round trip that takes 6 hours, what is the total distance traveled?"} {"instruction": "A chat. A bottle fills up a glass 8 times. Each glass holds 250 milliliters of water. How many liters of water does the bottle hold? Show your steps."} {"instruction": "A chat. A baker uses 2 cups of flour to make 12 cookies. If the baker wants to make 60 cookies, how many cups of flour will they need?"} {"instruction": "A chat. You have a deck of 52 cards. You draw 5 cards one after another without replacing them back into the deck. What are the chances that all drawn cards are hearts? Show your work."} {"instruction": "A chat. If a square has an area of 64 square meters, what is the length of its diagonal?"} {"instruction": "A chat. If you drive at an average speed of 45 miles per hour for 2.5 hours, how far will you travel?"} {"instruction": "A chat. If a cyclist travels at an average speed of 15 mph for 45 minutes, how far do they travel?"} {"instruction": "A chat. A water tank has the shape of a cylinder with a diameter of 10 feet and a height of 12 feet. If it is filled to 75% of its capacity, how many gallons of water does it contain? (1 cubic foot = 7.48 gallons)"} {"instruction": "A chat. In a village, there are 5 houses in a row. Each house is painted with one of three colors: red, blue, or green. No two adjacent houses have the same color. The first house is red and the last house is green. How many houses are painted blue?"} {"instruction": "A chat. A bag contains 3 red balls, 4 blue balls, and 5 green balls. If you draw one ball at random, what is the probability that it will be either red or blue?"} {"instruction": "A chat. A train travels from City A to City B in 2 hours. On its way back from City B to City A, it takes 3 hours due to a technical issue. If the distance between the two cities remains constant, what is the average speed of the train during the entire trip?"} {"instruction": "A chat. Calculate the hom*ology groups of the Klein bottle."} {"instruction": "A chat. In a town, there are 10 houses on the left side of the street and 12 houses on the right side. Each house has 4 people living in it. However, one house on the left side is empty due to renovation. How many people live on this street?"} {"instruction": "A chat. In a class of 30 students, 18 students passed an exam with a grade of 70% or higher. What percentage of the class passed the exam?"} {"instruction": "A chat. A factory produces two types of widgets: small and large. It takes 3 hours to produce a small widget and 5 hours to produce a large widget. If the factory can only operate for 60 hours per week, what is the maximum number of widgets it can produce in one week?"} {"instruction": "A chat. A father has twice as many sons as daughters. If he has a total of 7 children, how many sons does he have?"} {"instruction": "A chat. Calculate the triple integral of f(x, y, z) = x^2 + y^2 + z^2 over the region bounded by x=0, y=0, z=0, and x+y+z=1."} {"instruction": "A chat. A group of 5 friends wants to split the cost of a $100 gift card evenly. How much does each person need to contribute?"} {"instruction": "A chat. Calculate the present value of a $1000 bond that matures in 5 years, assuming an annual interest rate of 4%. Explain your calculations.\n"} {"instruction": "A chat. A factory produces 200 widgets per hour. Each widget undergoes a quality check, and 95% pass the test. Of the remaining 5%, half are reworked and then pass the test. How many widgets are produced in an 8-hour shift that ultimately pass the quality check?"} {"instruction": "A chat. A farmer has a rectangular field that is 300 meters long and 150 meters wide. He wants to build a fence around the entire field. How many meters of fencing does he need?"} {"instruction": "A chat. A large corporation is planning its annual team-building retreat for its employees. They have a budget of $1 million for the event, which includes accommodation, meals, transportation, and activities. The company has 2,000 employees, and they plan to divide them into groups of 100 for different activities. Each activity costs $10,000 per group, and there are 20 different activities to choose from. Determine how much money can be allocated for accommodations, meals, and transportation after accounting for the cost of activities, and provide recommendations on how to distribute the remaining budget among these categories.\n"} {"instruction": "A chat. The sum of three consecutive odd integers is 63. What are the integers?"} {"instruction": "A chat. If you have 20 candies and you give away 2 candies to each friend, how many friends can you share your candies with? Provide step-by-step logic."} {"instruction": "A chat. There are 8 apples on a table. You take away 3 apples but then put back 2 apples. How many apples are left on the table?"} {"instruction": "A chat. A group of people are standing in a circle. Every second person is eliminated going clockwise until only one person remains. If there were initially 10 people in the circle, which position should you stand in to be the last person remaining?"} {"instruction": "A chat. Evaluate the expression: 3(5)^2 - 4(7) + 9 / 3"} {"instruction": "A chat. A box contains red balls and blue balls. The probability of picking a red ball is 1/3. If there are 12 more blue balls than red balls, how many balls are in the box?"} {"instruction": "A chat. If a car rental company has 200 cars, and they are rented out at an average rate of 60% per day, how many cars will be rented in total over the course of a month (30 days)?"} {"instruction": "A chat. A factory produces two types of widgets: Type A and Type B. The production rate for Type A is 100 widgets per hour, while the production rate for Type B is 75 widgets per hour. If the factory operates for 8 hours a day, how many days will it take to produce 5,000 Type A widgets and 3,750 Type B widgets?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. Halfway through the journey, the train stops for 15 minutes. If the total travel time is 2 hours and 45 minutes, how long would it take for the train to travel from Town A to Town B without stopping?"} {"instruction": "A chat. Calculate the sum of the geometric series 1 + (1/2) + (1/4) + ... to infinity."} {"instruction": "A chat. If a car rental company has 20 cars available for rent, and each car is rented out at an average of 5 times per month, how many total rentals will the company have in one year?"} {"instruction": "A chat. In a class of 30 students, there are twice as many girls as boys. If the teacher randomly picks one student to answer a question, what is the probability that the chosen student is a girl?"} {"instruction": "A chat. Sam has 30 books in his bookshelf. He reads one book per week. How many pencils does he have left after reading all the books?"} {"instruction": "A chat. In a small town, there are 5 houses in a row. The red house is to the left of the blue house. The green house is to the right of the white house. The yellow house is between the red and green houses. Which house is on the far left?"} {"instruction": "A chat. How many prime numbers are there between 40 and 60?"} {"instruction": "A chat. A farmer has 10 acres of land to plant crops. He plants corn on 40% of the land, wheat on 35%, and soybeans on the remaining area. How many acres does he use for each crop?"} {"instruction": "A chat. A large corporation is considering implementing a wellness program for its employees. There are currently 5,000 employees, and the company expects a participation rate of 60%. The wellness program includes gym memberships, healthy meal options, and stress management workshops. The annual cost per employee for these services is $1,200. Calculate the total cost of implementing the wellness program, as well as the potential savings from reduced sick days and increased productivity, assuming a 10% improvement in both areas.\n"} {"instruction": "A chat. A train travels from City A to City B in 3 hours and then continues to City C in another 2 hours. The distance between City A and City B is 180 miles, and the distance between City B and City C is 120 miles. What is the average speed of the train for the entire journey?"} {"instruction": "A chat. A recipe calls for 2 cups of sugar to make 24 cookies. If you want to make 60 cookies, how many cups of sugar do you need?"} {"instruction": "A chat. A factory produces 200 cars every week. How many cars does it produce in a year? Assume that the factory operates 52 weeks a year. Show your work."} {"instruction": "A chat. A train leaves Town A at 4 PM and arrives in Town B at 8 PM. Another train leaves Town B at 6 PM and arrives in Town A at 10 PM. At what time do the two trains pass each other?"} {"instruction": "A chat. Solve: ((8 - 3)^2 - (7 / 2) * 3) + 6 * 4 - 2 ="} {"instruction": "A chat. A rectangular garden has a length of 10 meters and a width of 6 meters. What is the perimeter of the garden?"} {"instruction": "A chat. A box contains red, blue and green balls. The ratio of red to blue balls is 3:2, and the ratio of blue to green balls is 4:5. What is the ratio of red to green balls? Show your work."} {"instruction": "A chat. In a town, there are 5 houses in a row. Each house is painted with one of the following colors: red, blue, green, yellow, or white. The owner of each house has a different pet (cat, dog, fish, bird, or rabbit). Based on the following information, which house does the cat live in?\n1. The first house is red.\n2. The second house has a dog.\n3. The third house is green.\n4. The blue house is next to the house with a bird.\n5. The yellow house is not next to the house with a rabbit."} {"instruction": "A chat. A train leaves from Station A to Station B at 50 mph. Another train leaves from Station B to Station A at 70 mph. The distance between the two stations is 300 miles. How long will it take for the trains to meet?"} {"instruction": "A chat. If a car's fuel efficiency is 25 miles per gallon and it has a 15-gallon tank, how far can it travel on a full tank if it starts with 5 gallons already in the tank?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the two towns is 120 miles. If it takes the train 2 hours to travel from Town A to Town B, how long will it take for the train to travel back from Town B to Town A if it stops for 30 minutes at Town B?"} {"instruction": "A chat. In a small town, there are 100 houses. All the blue houses have red doors, and all the green houses have yellow doors. If there are 60 blue houses, how many houses have yellow doors?"} {"instruction": "A chat. A store offers a discount on an item by reducing its price by 15% each week. If the original price was $100, what would be the price of the item after 3 weeks?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 10 feet and a height of 12 feet. What is its volume in liters?"} {"instruction": "A chat. You're reading a book with 150 pages and you're on page 30. What percentage of the book have you read? Detail your calculations."} {"instruction": "A chat. A snail starts climbing a 30-foot tree at a rate of 3 feet per day. However, each night it slides back down 2 feet. How many days will it take for the snail to reach the top of the tree?"} {"instruction": "A chat. If one book costs $12, how much would you pay for 13 books? Include your calculations."} {"instruction": "A chat. A city is planning to build a new sports complex that includes multiple facilities for various sports. The project has a budget of $50 million, and the city wants to allocate funds based on the popularity of each sport among its residents. They have collected data on the number of participants in each sport and the average cost per facility. Calculate the number of facilities for each sport that can be built within the budget while maintaining an equitable distribution of resources. Provide step-by-step reasoning.\n"} {"instruction": "A chat. Alice can paint a house in 5 hours. Bob can paint the same house in 7 hours. How long will it take for Alice and Bob to paint the house together?"} {"instruction": "A chat. A factory produces 500 units of product A in 4 hours. If the factory operates for 10 hours per day, how many units of product A will it produce in one week?"} {"instruction": "A chat. A company has a total of 100 employees. If 40% are engineers, 30% are managers, and the rest are support staff, how many more engineers are there than support staff?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour for 2 hours, then increases its speed to 80 miles per hour for another 3 hours. How far does the train travel in total?"} {"instruction": "A chat. Alice, Bob, and Carol decide to split the cost of a $120 gift equally among themselves. However, Dave decides to join them at the last minute. They now decide to split the cost equally among all four of them, but Alice insists on paying her original share of $40. How much does each person pay now?"} {"instruction": "A chat. A bakery wants to expand its production capabilities by purchasing new equipment and hiring additional staff. The bakery currently produces 5,000 pastries per day and plans to increase daily production by 50%. Calculate the total number of pastries produced per day after the expansion and estimate the potential increase in revenue based on this information, assuming each pastry sells for $3. Provide detailed calculations."} {"instruction": "A chat. If you invest $1,000 at an annual interest rate of 6% compounded annually for 5 years, how much money will you have at the end of the investment period?"} {"instruction": "A chat. Solve the inequality: 3x - 5 > 10."} {"instruction": "A chat. A factory produces two types of products: Product A and Product B. In one day, the factory can produce either 60 units of Product A or 80 units of Product B. If the factory decides to produce both products on the same day, they can only produce 50% of their maximum capacity for each product. How many units of Product A and Product B can the factory produce in a single day if they decide to produce both?"} {"instruction": "A chat. A factory produces 1200 widgets every 8 hours. How many widgets does it produce in a 30-day month if it operates 24 hours a day?"} {"instruction": "A chat. In a class of 30 students, 16 are boys. What percentage of the class is girls? Show your steps."} {"instruction": "A chat. John read 3 books last week. Each book had twice as many pages as the previous one. If the first book had 50 pages, how many pages did John read in total? Include your calculations."} {"instruction": "A chat. If a car factory produces 500 cars per day, and each car requires 4 tires, how many tires does the factory need to have in stock for 15 days of production?"} {"instruction": "A chat. A store offers a discount of 20% off the original price of an item. If the discounted price of the item is $80, what was the original price?"} {"instruction": "A chat. Five friends went out to dinner. Each friend ordered a different meal, and they all shared one dessert. The total bill came to $100. How much did each person pay if they split the bill evenly?"} {"instruction": "A chat. If a store sells 3 different types of pens and each pen is sold in packs of 5, 10, or 20, how many ways can you buy at least one pack of each type of pen?"} {"instruction": "A chat. In a room, there are 4 cats. Each cat can catch 3 mice in an hour. If it takes 2 hours for the 4 cats to catch all the mice in the room, how many mice were in the room?"} {"instruction": "A chat. A factory produces widgets at a rate of 200 per hour. After every 6 hours, the machines need to undergo maintenance for 2 hours. How many widgets can the factory produce in a 24-hour period?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the two towns is 300 miles. If the train's speed were increased by 20 mph, it would take one hour less to travel the same distance. What is the original speed of the train?"} {"instruction": "A chat. Solve for x: log(x) + log(100) = 4."} {"instruction": "A chat. A bookstore sells books at an average price of $20 per book. The store has a sale and reduces the price of all books by 15%. If a customer buys 5 books during the sale, how much money do they save compared to buying the books at the original price?"} {"instruction": "A chat. There are 20 students in a class. On Monday, 75% of the students wore blue shirts, and on Tuesday, 60% of the students wore blue shirts. If 40% of the students wore blue shirts on both days, how many students did not wear a blue shirt on either day?"} {"instruction": "A chat. A factory produces widgets at a rate of 200 per hour. After every 5 hours of production, the factory needs to shut down for 1 hour of maintenance. If the factory operates for 24 hours, how many widgets will it produce?"} {"instruction": "A chat. In an election, Candidate A received 55% of the votes, and Candidate B received the remaining 45%. If there were a total of 12,000 votes cast, how many more votes did Candidate A receive than Candidate B?"} {"instruction": "A chat. A train travels from City A to City B in 3 hours. On its way back from City B to City A, it takes 4 hours due to an increase in wind resistance. What is the average speed of the train for the entire trip?"} {"instruction": "A chat. There are 12 apples and 18 oranges in a basket. If you randomly pick one fruit from the basket, what is the probability that it will be an apple?"} {"instruction": "A chat. An automotive manufacturer wants to optimize its production line by implementing automation technologies. The current production line has 1000 workers, each earning an average salary of $50,000 per year. The company plans to replace 30% of these workers with robots, costing $250,000 each. Calculate the initial investment required for automation and estimate the annual savings in labor costs. Also, consider any additional expenses related to robot maintenance and training for remaining employees. Explain your approach."} {"instruction": "A chat. A train travels at an average speed of 90 km/h for the first half of its journey and then at an average speed of 120 km/h for the second half. If the total distance of the journey is 360 km, how long does it take to complete the trip?"} {"instruction": "A chat. If you were to stack $100 bills on top of each other, how high would the stack be if it was worth $1 million?"} {"instruction": "A chat. There are 27 balls in a box, and each ball is either red, blue, or green. If there are twice as many red balls as blue balls and three times as many green balls as red balls, how many balls of each color are there?"} {"instruction": "A chat. If a tree produces 200 apples in one season, and each apple contains around 10 seeds, how many potential new trees could be grown from the seeds of all the apples produced in one season? Explain your reasoning."} {"instruction": "A chat. John can paint a house in 5 days. Mike can do it in 3 days. How long will it take them to paint the house together?"} {"instruction": "A chat. If a restaurant serves 120 customers in an hour, how many customers do they serve in a week? Assume the restaurant operates for 8 hours each day. Explain your reasoning."} {"instruction": "A chat. There are three boxes, labeled A, B, and C. One box contains only apples, one box contains only oranges, and the third box contains a mix of apples and oranges. All the labels on the boxes are incorrect. If you can only pick one fruit from one box without looking inside, how can you determine which box contains what?"} {"instruction": "A chat. A store sells apples in bags containing 6, 9, or 14 apples each. If a customer wants to buy exactly 53 apples, what is the minimum number of bags they must purchase?"} {"instruction": "A chat. A train leaves from City A to City B at 3 pm, traveling at a speed of 60 mph. Another train leaves City B to City A at the same time, traveling at a speed of 90 mph. The distance between the two cities is 450 miles. At what time will the trains pass each other?"} {"instruction": "A chat. A large supermarket chain is analyzing its sales data to determine which products should be placed on promotional offers. They want to identify the top 10% best-selling items across all categories and offer a 15% discount on these items for one month. The chain has a total of 25,000 unique products in its inventory. Calculate the number of items that will be placed on promotion and estimate the potential revenue impact, assuming an average price of $10 per item and a 20% profit margin. Provide step-by-step reasoning.\n"} {"instruction": "A chat. If it takes 6 hours for 8 workers to paint a house, how long would it take for 12 workers to paint the same house, assuming they all work at the same pace?"} {"instruction": "A chat. A factory produces 200 widgets per day. Due to increased demand, they decide to increase production by 50%. However, after a week at this new rate, they realize that they need to decrease production by 20% to maintain quality control. How many widgets will the factory produce daily after these changes?"} {"instruction": "A chat. A hotel chain is evaluating the performance of its properties in different regions. They want to identify which hotels are underperforming and develop strategies to improve their profitability. Analyze the financial data for each property, including revenue, occupancy rates, and expenses, and rank them based on their performance. Identify potential areas for improvement and recommend specific actions to increase profitability.\n"} {"instruction": "A chat. A theme park is planning to expand its attractions by adding a new roller coaster. The cost of constructing the roller coaster is estimated at $20 million. The park expects to generate an additional $3 million in annual revenue from ticket sales for the new attraction. Calculate how many years it will take for the park to recover the initial investment in the roller coaster, assuming no additional maintenance costs or changes in ticket prices. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A large hospital is evaluating the efficiency of its emergency department (ED). The ED currently has 50 beds and serves an average of 200 patients per day. Each patient spends an average of 4 hours in the ED, with a maximum capacity of 12 hours before requiring hospital admission. The hospital wants to reduce the average waiting time for patients by 25% without increasing the number of beds or staff. Identify potential bottlenecks and suggest strategies to improve throughput and overall patient satisfaction.\n"} {"instruction": "A chat. A zoo wants to create a new exhibit featuring five different species of animals. Each animal requires a specific amount of space based on its size and habitat needs. The available space for the exhibit is 100,000 square feet. The space requirements are as follows: Species A (5,000 sq ft per animal), Species B (2,000 sq ft per animal), Species C (10,000 sq ft per animal), Species D (1,000 sq ft per animal), and Species E (500 sq ft per animal). Calculate the maximum number of animals that can be included in the exhibit while ensuring that all species are represented. Explain your reasoning.\n"} {"instruction": "A chat. A factory produces 1000 widgets per day, and each widget has a 5% chance of being defective. On average, how many defective widgets will be produced daily?"} {"instruction": "A chat. A train leaves from Station A at 8:00 AM and travels towards Station B at a constant speed of 60 km/h. Another train leaves from Station B at 9:00 AM and travels towards Station A at a constant speed of 90 km/h. The distance between Station A and Station B is 450 km. At what time will the two trains meet?"} {"instruction": "A chat. In a class of 30 students, 18 play soccer, 12 play basketball, and 5 play both sports. How many students do not play either sport? Use a Venn diagram to illustrate your answer.\n"} {"instruction": "A chat. If a company produces 1000 units of product A and 500 units of product B per day, how many days will it take to produce 12,000 units of product A and 7,500 units of product B?"} {"instruction": "A chat. A jar contains 4 red marbles, 6 blue marbles, and 10 green marbles. What is the probability of picking a red marble followed by a blue marble without replacement?"} {"instruction": "A chat. Using statistical analysis, determine the correlation between hours spent studying and test scores for a sample of students. Explain your method and findings.\n"} {"instruction": "A chat. There are two doors in a room, one leading to safety and the other to danger. Each door has a guard. One guard always tells the truth, while the other always lies. You can ask only one question to find out which door leads to safety. What should you ask?"} {"instruction": "A chat. There are 3 apples and 2 oranges in a basket. You randomly pick one fruit from the basket and eat it. Then, you randomly pick another fruit from the remaining fruits in the basket. What is the probability that you ate an apple first and then an orange?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding electric buses to the existing fleet. The city currently has 200 diesel buses, and they want to replace 50% of them with electric buses over the next 5 years. Each electric bus costs $750,000, and the city can allocate a budget of $20 million for this project. Calculate how many electric buses the city can purchase within the given budget, and determine if it's possible to achieve their goal. Also, calculate the annual budget allocation required to meet the target.\n"} {"instruction": "A chat. In a town, there are 20 houses on one side of the street and 30 houses on the other side. Each house has 4 people living in it. How many people live on the side with 20 houses?"} {"instruction": "A chat. A car travels from Town X to Town Y at a constant speed of 40 mph and returns to Town X at a constant speed of 60 mph. What is the average speed for the entire trip?"} {"instruction": "A chat. If a train travels at an average speed of 80 kilometers per hour for 3 hours, how far does it travel?"} {"instruction": "A chat. If a factory produces 1500 items per day and operates for 25 days in a month, how many defective items are produced if the defect rate is 1.5%?"} {"instruction": "A chat. In a game, a player scores 2 points for hitting a target and loses 1 point for missing. If a player takes 50 shots and ends with a score of 60, how many targets did they hit? Explain your thought process."} {"instruction": "A chat. A bakery produces various types of bread using three different ovens: Oven A can bake 50 loaves per hour, Oven B can bake 75 loaves per hour, and Oven C can bake 100 loaves per hour. The bakery needs to produce 10,000 loaves daily to meet demand. Each oven has different energy consumption rates: Oven A consumes 20 kWh per hour, Oven B consumes 30 kWh per hour, and Oven C consumes 45 kWh per hour. Determine the optimal usage of each oven type to minimize energy consumption while meeting production requirements. Provide step-by-step reasoning.\n"} {"instruction": "A chat. Solve the equation: 3x - 7 = 5x + 1."} {"instruction": "A chat. There are approximately 400 billion stars in the Milky Way galaxy. If you could count 1 star per second, how many years would it take to count all the stars?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. If it takes 2 hours to reach its destination, how long would it take for a car traveling at 40 miles per hour to reach the same destination?"} {"instruction": "A chat. A printer can print 10 pages per minute. How long will it take to print 100 pages?"} {"instruction": "A chat. A group of people donates money to a charity. The average donation amount is $50, and the total amount donated is $2,500. How many people are in the group?"} {"instruction": "A chat. A train travels at an average speed of 80 kilometers per hour for 7.5 hours. How many kilometers does it cover during this time?"} {"instruction": "A chat. In a family of 5, there are two parents and three children. The father is older than the mother. The youngest child is older than both the middle child and the oldest child. How is this possible?"} {"instruction": "A chat. There are 5 people in a room - Alice, Bob, Carol, David, and Eve. We know that:\n- Alice is taller than Bob.\n- Carol is shorter than David.\n- Eve is not the tallest or the shortest person.\nCan we determine who is the tallest person in the room?"} {"instruction": "A chat. A factory produces 1000 widgets in 8 hours. If they increase their production rate by 50%, how many widgets will they produce in 10 hours?"} {"instruction": "A chat. Solve: ((9 - 3)^2 * 4 + 12) \u00f7 6 ="} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. It takes 5 hours for the train to travel half the distance between the towns. How long will it take for the train to travel the remaining distance if it maintains its current speed?"} {"instruction": "A chat. Solve the equation 5(x - 3) = 10 + 2x."} {"instruction": "A chat. Solve for x: 3x - 7 = 14"} {"instruction": "A chat. In a room, there are 10 people. Each person has an equal number of friends among the others in the room. How many friends does each person have?"} {"instruction": "A chat. A car rental company is considering adding electric vehicles (EVs) to its fleet. They want to start by replacing 10% of their existing 200 gasoline-powered cars with EVs. Calculate the initial investment required, considering that each EV costs $40,000, and the company can sell its used gasoline cars for $15,000 each. Also, estimate the potential savings in fuel costs over one year, assuming that each gasoline car consumes an average of 2 gallons of gas per day, costing $3.00 per gallon, while each EV consumes 0.04 dollars worth of electricity per mile traveled, with an average daily distance of 100 miles.\n"} {"instruction": "A chat. A store sells books for $15 each. If they offer a discount of 20% on every book, how much would you pay for 7 books after the discount?"} {"instruction": "A chat. A store sells two types of widgets: small widgets for $5 each and large widgets for $8 each. If the store sells a total of 60 widgets and makes $420 from widget sales, how many of each type of widget were sold?"} {"instruction": "A chat. A spherical ball has a diameter of 12 centimeters. What is its volume in cubic centimeters?"} {"instruction": "A chat. A bacteria culture doubles in size every hour. If there are initially 1000 bacteria cells, how many cells will be present after 10 hours?"} {"instruction": "A chat. If you have a standard deck of 52 playing cards, what is the probability of drawing two aces in a row without replacement?"} {"instruction": "A chat. A box contains red balls and blue balls. The probability of picking a red ball is 1/3. If there are 9 red balls in the box, how many blue balls are there?"} {"instruction": "A chat. If a person reads 20 pages of a book in 30 minutes, how many pages will they read in 2 hours if they maintain the same reading speed? Reason step-by-step."} {"instruction": "A chat. In a group of people, 25% have blue eyes, 35% have green eyes, and the rest have brown eyes. If there are 60 people with blue eyes, how many people have brown eyes?"} {"instruction": "A chat. A factory produces 1500 units of product A and 2000 units of product B every week. Product A requires 3 hours of labor per unit, while product B requires 2 hours of labor per unit. If the factory operates 40 hours per week, how many workers are needed to meet this production demand?"} {"instruction": "A chat. A factory produces 1000 widgets per day, and each widget requires 15 minutes of labor to produce. How many hours of labor are required in total to produce the daily output of widgets?"} {"instruction": "A chat. You have a rectangular garden that measures 20 feet by 30 feet. You want to increase the area of your garden by 50% by adding an equal amount of width on one side and length on the other side. How much should you add to each side?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes 4 hours to travel between two cities. If the train were to increase its speed by 20 miles per hour, how long would it take to travel between the same two cities?"} {"instruction": "A chat. If you invest $10,000 at an annual interest rate of 6% compounded quarterly, how much money will you have after 3 years?"} {"instruction": "A chat. If it takes 6 minutes to boil an egg, how long does it take to boil 3 eggs if you have only one pot?"} {"instruction": "A chat. In a town, there are 100 houses. Every house has a cat that lives in it. Each cat kills 10 mice per day. How many mice do all the cats kill together in one week?"} {"instruction": "A chat. A factory produces widgets in two sizes, small and large. Each small widget weighs 2 kg, and each large widget weighs 5 kg. The factory has produced a total of 100 widgets with a combined weight of 320 kg. How many small widgets did the factory produce?"} {"instruction": "A chat. A group of people are standing in a circle. Each person knows everyone else's age except their own. They can only ask one question to any other person, \"Is my age greater than yours?\" If someone hears two different answers from two different people, they can deduce their own age. There are three people with ages 20, 25, and 30. Can anyone determine their own age?"} {"instruction": "A chat. A school has 4 classes with 30 students in each class. Half of the students in each class are girls. How many boys are there in the school? Show your work."} {"instruction": "A chat. In a building, there are 5 floors. On each floor, there are 4 apartments. Each apartment has 3 rooms and in each room, there are 2 beds. How many beds are there on the first floor?"} {"instruction": "A chat. There are 12 fish in a tank. Half of them drown. How many fish are left in the tank?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes the train 2 hours to travel between two cities. If another train traveling at 80 miles per hour starts at the same time but from the opposite city, when will the two trains meet?"} {"instruction": "A chat. A car rental company charges $20 per day for renting a car and an additional 15 cents per mile driven. How much would it cost to rent the car for 5 days and drive it for 200 miles?"} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" Each box contains either only apples, only oranges, or a mix of both. All the labels on the boxes are incorrect. You can take out one fruit from any box without looking inside. How many fruits do you need to take out to determine the contents of all three boxes?"} {"instruction": "A chat. A store sells two types of pens: blue and black. The ratio of blue pens to black pens sold is 3:7. If the store sold 1500 pens in total, how many blue pens were sold?"} {"instruction": "A chat. If you flip a coin three times, what is the probability of getting heads all three times? Explain step-by-step."} {"instruction": "A chat. A store sells two types of widgets: Type A and Type B. If 60% of the widgets sold are Type A, and the store sells a total of 1500 widgets in a month, how many more Type A widgets were sold than Type B?"} {"instruction": "A chat. A rectangular room has a length of 12 feet and a width of 8 feet. If you want to place square tiles on the entire floor without cutting any tiles, what is the largest size of each tile that can be used?"} {"instruction": "A chat. There are 25 students in a class. The teacher gives each student 3 pencils and keeps 5 extra pencils for herself. How many pencils does the teacher have initially?"} {"instruction": "A chat. An airline company is considering expanding its flight routes to include more international destinations. To do this, they need to purchase new long-range aircraft that can accommodate at least 250 passengers and have a range of 8,000 miles. The company's current budget allows for the purchase of three such aircraft, but they also need to factor in maintenance costs, crew training, and fuel expenses. Develop a detailed plan for the expansion, including calculations for the necessary investments and potential revenue from the new routes.\n"} {"instruction": "A chat. In a room, there are 4 cats. Each cat catches 3 mice per day. If each mouse eats 2 pieces of cheese before being caught, how many pieces of cheese do the cats save by catching the mice?"} {"instruction": "A chat. A car rental company has a fleet of 200 cars. They rent out 75% of their cars on weekdays and 90% of their cars on weekends. How many more cars are rented out on weekends compared to weekdays?"} {"instruction": "A chat. There are 5 apples and you take away 3. How many apples do you have now?"} {"instruction": "A chat. A large hotel chain is evaluating the potential revenue from opening a new luxury resort. The resort will have 500 rooms, and the expected average nightly rate is $400. The hotel chain anticipates an average occupancy rate of 75% throughout the year. Calculate the annual revenue and compare it to the initial investment of $200 million for construction and land acquisition. Additionally, factor in the ongoing operating expenses, such as salaries, maintenance, and marketing costs. Provide a detailed analysis.\n"} {"instruction": "A chat. In a game, you start with 100 points. Every time you lose, your score gets halved. After losing 6 times, what is your score? Show your steps."} {"instruction": "A chat. A factory produces 500 units of a product per day. If the production rate increases by 10% each week, how many units will be produced in the third week?"} {"instruction": "A chat. A company has a revenue of $10,000 per month and experiences a 5% growth rate each month. What will the company's revenue be after one year?"} {"instruction": "A chat. In a class of 25 students, there are 12 boys and 13 girls. Among the boys, 6 play soccer and 4 play basketball. Among the girls, 5 play soccer and 3 play basketball. If one student is selected at random from the class, what is the probability that the student plays both soccer and basketball? Provide step-by-step logic."} {"instruction": "A chat. In a school with 800 students, 60% of the students participate in sports activities. Among those who participate in sports, 40% play basketball. How many students play basketball?"} {"instruction": "A chat. In a room, there are 5 people who have a total of 25 apples among them. If no one has more than 10 apples and everyone has at least 1 apple, what is the maximum number of apples any one person could have?"} {"instruction": "A chat. A city is planning to construct a new sports stadium with a seating capacity of 60,000 spectators. The stadium will have three tiers of seating: lower level, middle level, and upper level. The management wants to allocate 40% of the seats to the lower level, 35% to the middle level, and 25% to the upper level. Calculate the number of seats in each tier and determine the ticket pricing strategy to generate a target revenue of $3 million per event, assuming an average occupancy rate of 90%. Provide step-by-step reasoning.\n"} {"instruction": "A chat. If you were to count from 1 to 1 million out loud, how long would it take assuming you can say one number per second?"} {"instruction": "A chat. A factory produces 250 widgets every hour. How many widgets will be produced in 7 days if the factory operates 16 hours a day?"} {"instruction": "A chat. A group of people are playing a game where they take turns saying numbers in sequence from 1 to 10. The first person says \"1,\" the second person says \"2,\" and so on until the tenth person says \"10.\" Then, the sequence starts over with the next person saying \"1\" again. If there are 27 people playing the game, what number will the 27th person say?"} {"instruction": "A chat. In a class of 30 students, 18 play soccer and 20 play basketball. If 5 students don't play either sport, how many students play both soccer and basketball?"} {"instruction": "A chat. A factory produces 120 units of a product every day. The production cost per unit is $25, and each unit is sold for $40. What is the profit generated by the factory in one week, assuming it operates seven days a week?"} {"instruction": "A chat. A factory produces widgets at a rate of 500 per hour. The factory operates for two shifts, each lasting 8 hours. If the factory needs to produce 15,000 widgets in one day, how many additional hours will they need to operate beyond their normal schedule?"} {"instruction": "A chat. A rectangular garden has a length of 25 feet and a width of 15 feet. If you want to build a fence around the entire garden, how many feet of fencing will you need?"} {"instruction": "A chat. A man builds a house with four sides. Each side faces south. A bear walks past the house. What color is the bear?"} {"instruction": "A chat. In a class of 30 students, 18 are taking English and 20 are taking Math. If 10 students are taking both English and Math, how many students are taking neither?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. The train leaves the station at 8:00 AM and arrives at its destination at 2:30 PM. How far is the destination from the station?"} {"instruction": "A chat. Solve the expression: (4^2 - 3 * 5) / (2 + 6)"} {"instruction": "A chat. John is taller than Peter. Peter is taller than Paul. Is Paul taller than John? Explain your thought process."} {"instruction": "A chat. In a certain city, there are 120,000 registered voters. If 75% of them voted in an election and 40% of those who voted chose candidate C, how many people voted for candidate C?"} {"instruction": "A chat. In a town, there are 20 houses on one side of the street and 30 houses on the other side. Each house has 4 windows facing the street. If you walk down the street and count all the windows you see, how many windows will you have counted?"} {"instruction": "A chat. In a certain city, there are 8 million people. If the population increases by 2% every year, how many people will live in the city after 5 years?"} {"instruction": "A chat. In a class of 40 students, 75% received a passing grade on their final exam. Of those who passed, 60% got an A or B. How many students received a C or lower but still passed the exam?"} {"instruction": "A chat. If a spider has 8 legs and an ant has 6 legs, how many total legs would there be in a group of 3 spiders and 5 ants? Explain your reasoning."} {"instruction": "A chat. If you have a sequence of numbers where each term after the first two terms is the sum of the previous two terms (i.e., a Fibonacci-like sequence), and the first two terms are 3 and 5, what is the 8th term in the sequence?"} {"instruction": "A chat. A plane flies from New York to Los Angeles, which are approximately 2450 miles apart. The flight takes about 5 hours and 45 minutes. What is the average speed of the plane in miles per hour?"} {"instruction": "A chat. A train travels at an average speed of 80 km/h for the first half of its journey and then increases its speed to 120 km/h for the second half. If the total distance of the journey is 400 km, how long does the entire trip take?"} {"instruction": "A chat. If a bee flies 15 miles to gather nectar and then returns back to its hive, how many total miles does the bee fly in one round trip? Show your work."} {"instruction": "A chat. A company has 200 employees. Among them, 120 are male and 80 are female. If 40% of males and 30% of females have a college degree, how many employees in total have a college degree?"} {"instruction": "A chat. If a car rental company has 150 cars and rents out 60% of them on Monday, how many more cars do they need to rent out on Tuesday to reach an 80% rental rate for the two days combined?"} {"instruction": "A chat. A box contains 5 red balls, 7 blue balls, and 8 green balls. If you randomly pick one ball from the box without looking, what is the probability of picking a red or blue ball?"} {"instruction": "A chat. A factory produces 1200 units of product A and 800 units of product B in a day. Each unit of product A requires 2 hours to produce, while each unit of product B requires 3 hours. How many total hours does the factory spend producing both products in a day?"} {"instruction": "A chat. If a factory produces 1200 units of product A in 8 hours, how many units will it produce in 15 days working 10 hours per day?"} {"instruction": "A chat. Calculate (4^2 - 3) / (5 + 2 * 3)"} {"instruction": "A chat. If a clock ticks 60 times in a minute, how many times does it tick in a day? Explain your thought process."} {"instruction": "A chat. In a small town, there are 4 barbers. Each barber only cuts the hair of those who do not cut their own hair. Assuming everyone in the town gets their hair cut by one of these barbers or themselves, can any of the barbers have their hair cut by another barber?"} {"instruction": "A chat. If you have a rectangular garden that measures 12 meters by 15 meters, what is the area of the garden in square meters?"} {"instruction": "A chat. A hospital wants to improve its emergency response time by adding more ambulances to its fleet. Currently, they have 5 ambulances, and their average response time is 15 minutes. They want to reduce this to under 10 minutes. Determine how many additional ambulances are needed, assuming that each ambulance can handle one call at a time and takes an average of 45 minutes to complete a call. Also, consider that the hospital receives an average of 60 calls per day, with peak hours between 4 pm and 8 pm when they receive 50% of their daily calls.\n"} {"instruction": "A chat. A film production company is budgeting for a major motion picture project. The film will be shot in multiple locations around the world, requiring extensive travel and accommodations for cast and crew members. Additionally, various special effects and post-production work will be needed. Estimate the total cost of the project, taking into account factors such as salaries, equipment rentals, permits, insurance, and marketing expenses. Provide a step-by-step breakdown of your calculations.\n"} {"instruction": "A chat. A farmer has 17 sheep and all but 9 die. How many sheep are left alive?"} {"instruction": "A chat. A factory produces 500 units of product per day. If each unit sells for $20, what is the factory's revenue for one week, assuming it operates seven days a week?"} {"instruction": "A chat. In a city, half of the population own a cat, a third own a dog, and a fourth own a rabbit. What is the minimum possible population of the city?"} {"instruction": "A chat. There are 100 people in a room. Each person has an even number of friends within the group. What is the minimum number of people who have exactly two friends?"} {"instruction": "A chat. In a certain game, you score 5 points for hitting a target and lose 2 points for missing. After playing the game 20 times, your final score is 70 points. How many targets did you hit?"} {"instruction": "A chat. A rectangular room has a length of 18 feet and a width of 14 feet. What is the area of the room in square feet, and what is the length of the diagonal?"} {"instruction": "A chat. A telecommunications company is upgrading its network infrastructure to improve coverage and data speeds. The upgrade involves replacing old cell towers with new ones that have a higher capacity and wider coverage range. There are currently 2,000 cell towers in the network, with an average coverage radius of 5 miles. The new cell towers have a coverage radius of 7 miles. Calculate the percentage reduction in the number of cell towers needed after the upgrade, assuming the same overall coverage area must be maintained."} {"instruction": "A chat. A hospital wants to optimize its bed capacity by calculating the average number of patients it can accommodate per day. The hospital has 300 beds, with an average occupancy rate of 85%. On any given day, approximately 10% of the patients are discharged, while another 15% are admitted. Calculate the daily patient turnover and the maximum number of patients the hospital can accommodate, providing step-by-step reasoning.\n"} {"instruction": "A chat. A store sells two types of widgets: Type A and Type B. The store has 200 Type A widgets and 300 Type B widgets in stock. Each Type A widget costs $15 and each Type B widget costs $20. What is the average cost per widget for all the widgets in the store?"} {"instruction": "A chat. In a class of 30 students, 15 are boys and the rest are girls. If half of the boys wear glasses, how many students in total do not wear glasses?"} {"instruction": "A chat. If there are 5 dogs in a park and each dog has 4 legs, how many cats are in the park?"} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" Each box contains either only apples, only oranges, or a mix of both. However, all the labels on the boxes are incorrect. Without looking inside, you can take out one fruit at a time from any box. What is the minimum number of fruits you need to take out to correctly label all the boxes?"} {"instruction": "A chat. There are 4 apples on a table. You take away 2 apples. How many apples do you have?"} {"instruction": "A chat. If an artist paints 5 paintings a month, how many paintings will she paint in 10 years? Provide step-by-step logic."} {"instruction": "A chat. A farmer has ducks and cows in his farmyard. He counts a total of 30 heads and 74 legs. How many ducks and how many cows does he have?"} {"instruction": "A chat. A hotel chain plans to open a new luxury resort on a remote island. The resort will have 100 rooms, each with a nightly rate of $500. To attract guests, the hotel must offer various amenities such as restaurants, spas, and recreational activities. Additionally, they need to ensure adequate staffing levels and transportation options for guests traveling to and from the island. Develop a comprehensive business plan for the resort, including initial investment costs, projected revenues, and operational considerations.\n"} {"instruction": "A chat. A square garden has an area of 144 square feet. If a gardener wants to build a fence around the entire garden and needs one post for every 6 feet of fencing, how many posts does he need?"} {"instruction": "A chat. If a car rental company has a fleet of 100 cars and rents out 70% of them on average every day, how many cars are rented out during a week (7 days)?"} {"instruction": "A chat. A square garden has a perimeter of 48 feet. John wants to build a fence around the garden, but he needs to leave an opening for a gate that is 4 feet wide. How many feet of fencing does John need?"} {"instruction": "A chat. There are four boxes containing 20 marbles each. You take away two boxes and then add three more boxes. How many marbles do you have now? Show your reasoning."} {"instruction": "A chat. Calculate the expected value of rolling a fair six-sided die."} {"instruction": "A chat. A bee visits 20 flowers in a minute. How many flowers does it visit in a day? Explain your thought process."} {"instruction": "A chat. If a car rental company has 100 cars and rents them out at an average rate of $40 per day, how much revenue will they generate in a month if their cars are rented out for 25 days on average?"} {"instruction": "A chat. In a game, you start with 10 points. Each turn, you lose half of your points. After how many turns will you have less than one point? Explain your thought process."} {"instruction": "A chat. A store sells apples for $1 each and oranges for $2 each. If Jane buys a total of 8 fruits and spends exactly $12, how many apples and oranges did she buy?"} {"instruction": "A chat. If a bacteria colony doubles its population every hour, how many bacteria will be present after 36 hours if the initial population was 50?"} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" Each box is filled with fruit but is mislabeled. Without looking inside, you may draw one fruit from a box. How can you correctly label all three boxes by only drawing one fruit?"} {"instruction": "A chat. In a survey of 500 people, 60% prefer coffee over tea. If 75% of those who prefer coffee also enjoy drinking tea, how many people enjoy both coffee and tea?"} {"instruction": "A chat. If a car factory produces 100 cars every day, how many cars does it produce in a non-leap year? Show your work."} {"instruction": "A chat. In a bag of marbles, there are 4 red marbles, 6 blue marbles, and 10 green marbles. What is the probability of randomly picking a red marble from the bag?"} {"instruction": "A chat. How many miles would you travel if you walk around the Earth's equator?"} {"instruction": "A chat. A rectangular garden has a length of 25 meters and a width of 15 meters. If you want to build a fence around the entire garden, how many meters of fencing will you need?"} {"instruction": "A chat. There are 8 people in a room, including Tim and Sally. If everyone shakes hands with each other exactly once, how many handshakes occur?"} {"instruction": "A chat. A water tank holds 450 liters of water. If it takes 3 minutes to fill up 1/6 of the tank, how long will it take to fill up the entire tank?"} {"instruction": "A chat. A bag contains 6 red balls, 4 blue balls, and 5 green balls. If you draw 3 balls from the bag without replacement, what is the probability that you will get exactly 2 red balls?"} {"instruction": "A chat. A telecommunications company is planning to expand its fiber-optic network to rural areas. It currently covers 1,000 square miles and serves 500,000 customers. The expansion will add another 2,000 square miles to the network, but the population density in these areas is only 100 people per square mile. Determine the total number of new customers that can be served by this expansion and calculate the cost per customer if the overall budget for the project is $50 million. Describe your approach and calculations."} {"instruction": "A chat. If a car rental company has 12 cars available for rent and wants to offer different combinations of renting 3 cars at a time, how many unique combinations can be made?"} {"instruction": "A chat. A group of people decide to split the cost of a $300 gift equally among themselves. However, two more people join the group, and now everyone's share is reduced by $5. How many people were originally in the group?"} {"instruction": "A chat. Five friends decide to go out for dinner. They agree to split the bill evenly among themselves. However, when the bill arrives, they realize that two of their friends forgot their wallets at home. If the total bill is $150, how much do the three friends who brought their wallets have to pay each?"} {"instruction": "A chat. A train travels from Town A to Town B at an average speed of 120 km/h and takes 3 hours to complete the journey. On its return trip, due to some technical issues, the train's average speed reduces to 80 km/h. How long does it take for the train to travel back from Town B to Town A?"} {"instruction": "A chat. A train travels from Town A to Town B at an average speed of 60 km/h. The same train then travels from Town B to Town C at an average speed of 80 km/h. The entire journey takes 5 hours. If the distance between Town A and Town B is 180 km, what is the distance between Town B and Town C?"} {"instruction": "A chat. A swimming pool is filled with water at a rate of 15 gallons per minute. How long will it take to fill a 4,500-gallon pool?"} {"instruction": "A chat. If a train travels at an average speed of 90 km/h for 4 hours and then slows down to 60 km/h for another 5 hours, what is its average speed for the entire trip?"} {"instruction": "A chat. A train leaves a station at 6 PM, traveling east at 60 miles per hour. Another train leaves the same station an hour later, traveling west at 80 miles per hour. At what time will they be 210 miles apart?"} {"instruction": "A chat. (4^2 - 3) * (5 + 2)^2 ="} {"instruction": "A chat. There are 10 people standing in a circle. Each person knows the names of the two people next to them but doesn't know the names of the other seven people. How many different ways can they arrange themselves in the circle if they want everyone to know each other's names?"} {"instruction": "A chat. A store sells apples in bags containing 6 apples each. If they sell 100 bags of apples per day, how many individual apples do they sell in one week?"} {"instruction": "A chat. If you have a fair six-sided die and roll it three times, what is the probability of rolling exactly one \"6\"?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding new buses and routes. The city currently has 100 buses, each with a capacity of 50 passengers. They want to increase the total passenger capacity by 25% while maintaining an average occupancy rate of 70%. Calculate the number of additional buses needed and suggest how many new routes should be created based on the assumption that each route will have an equal number of buses. Provide step-by-step reasoning.\n"} {"instruction": "A chat. You have a bag containing 100 marbles, 50 of which are black and 50 are white. If you randomly pick two marbles at once without replacement, what is the probability that both marbles will be black?"} {"instruction": "A chat. (3^2 * 4) / (6 - 2) + 10 ="} {"instruction": "A chat. A store sells apples for $1 each and oranges for $2 each. Alice buys a total of 20 fruits from the store, spending exactly $30. How many oranges did she buy?"} {"instruction": "A chat. Show that the space of continuous functions on the interval [0, 1] is complete under the supremum norm."} {"instruction": "A chat. A recipe calls for 3 cups of flour to make 24 cookies. How many cups of flour are needed to make 72 cookies? Explain your reasoning.\n"} {"instruction": "A chat. In a room, there are 5 cats. Each cat catches 4 mice per day. After catching the mice, each mouse can still be caught by another cat. How many total mice do all the cats catch in one day?"} {"instruction": "A chat. In a town, there are 100 houses. Every house has at least one cat. If every even-numbered house has two cats and every odd-numbered house has three cats, how many cats are in the town?"} {"instruction": "A chat. In a group of 25 people, there are 15 who can speak French and 10 who can speak German. Among those who can speak French, 6 also know how to speak German. How many people in the group can only speak one language?"} {"instruction": "A chat. In a group of 40 people, 25% have brown eyes, 35% have blue eyes, and the rest have green eyes. How many more people have green eyes than brown eyes?"} {"instruction": "A chat. If a farmer has 3 types of fruit trees - apple, orange, and pear - and he plants them in rows with each row containing only one type of tree, how many different ways can the farmer arrange these rows?"} {"instruction": "A chat. A store has a sale where all items are discounted by 25%. If an item originally costs $80, what is its price after the discount?"} {"instruction": "A chat. A group of people are sitting in a circle. Every second person is wearing a hat. If there are 12 people wearing hats, how many people are in the circle?"} {"instruction": "A chat. Two trains leave different stations at the same time and travel towards each other. Train A travels at 60 mph, while train B travels at 80 mph. They pass each other after 2 hours. How far apart were the stations?"} {"instruction": "A chat. ((6 * 5)^2 / (9 * 10)) - 3^3 ="} {"instruction": "A chat. In a standard deck of 52 playing cards, what is the probability of drawing four cards of the same rank (e.g., all four Kings)?"} {"instruction": "A chat. There are 4 houses in a row. The blue house is to the right of the red house and to the left of the green house. The yellow house is to the left of the red house. What is the order of the houses from left to right?"} {"instruction": "A chat. A train travels from Town A to Town B in 2 hours. The distance between the towns is 120 miles. After reaching Town B, the train immediately returns to Town A but takes 3 hours for the return journey due to a slower speed. What was the average speed of the entire round trip?"} {"instruction": "A chat. In a family gathering, there are 15 people who shake hands with each other once. How many handshakes occur in total?"} {"instruction": "A chat. A store sells candies in bags containing either 4 or 7 candies per bag. If a customer wants to buy exactly 23 candies, how many bags of each type should they purchase?"} {"instruction": "A chat. A factory produces 500 units of product A per day and 300 units of product B per day. Each unit of product A requires 2 hours of labor, while each unit of product B requires 3 hours of labor. How many hours of labor are required in total for one week of production?"} {"instruction": "A chat. A tree produces 15 oranges every year. How many oranges does it produce in a decade? Show your work."} {"instruction": "A chat. A car travels at an average speed of 40 mph on a highway for 2 hours. Then, it takes a break for 30 minutes and continues traveling at an average speed of 60 mph for another hour. What is the car's overall average speed during the entire trip?"} {"instruction": "A chat. A school has 800 students. If 45% of these students participate in sports and 30% participate in music, what percentage of students do not participate in either activity?"} {"instruction": "A chat. Solve the system of equations: y = 2x + 3 and y = -x + 5"} {"instruction": "A chat. A company has an annual revenue of $1,200,000. If their expenses are 65% of their revenue, how much profit does the company make in a year?"} {"instruction": "A chat. A sphere has a surface area of 314 square centimeters. What is the approximate radius of the sphere?"} {"instruction": "A chat. A car travels from Town A to Town B at a constant speed of 60 mph. The distance between the towns is 120 miles. If the car starts its journey at 9 AM, what time will it reach Town B if it stops for a 30-minute break?"} {"instruction": "A chat. In a class of 25 students, 12 are boys and the rest are girls. If 5 boys and 7 girls wear glasses, how many students in the class do not wear glasses?"} {"instruction": "A chat. In a bicycle race, the man who came two places in front of the last man finished one ahead of the man who came fifth. What position did he finish? Include your logic."} {"instruction": "A chat. A telecommunications company is planning to expand its network coverage in rural areas. They need to install cell towers at strategic locations to provide maximum coverage with minimal investment. Each tower has a range of 10 miles and costs $1 million to build. The company has a budget of $20 million for this project. Determine the optimal number and placement of cell towers to achieve the desired coverage within the budget constraints. Describe your calculations step by step.\n"} {"instruction": "A chat. In a group of 30 people, 12 prefer tea, and the rest prefer coffee. What is the ratio of tea drinkers to coffee drinkers?"} {"instruction": "A chat. Solve: ((4 * 3) - 2^3 + 6) / (5 - 1)"} {"instruction": "A chat. If a class of 25 students takes a test with 20 multiple-choice questions, each question having 5 options, what is the probability that a student will pass the test by guessing all answers if passing requires answering at least 12 questions correctly?"} {"instruction": "A chat. If a factory produces 10% more widgets on Monday than it does on Tuesday and 20% fewer widgets on Wednesday than it does on Tuesday, how many percent more widgets are produced on Monday compared to Wednesday if 180 widgets were produced on Tuesday?"} {"instruction": "A chat. How many Earths can fit inside the Sun?"} {"instruction": "A chat. A train leaves Station A at 9:00 AM and arrives at Station B at 12:30 PM. If the average speed of the train is 80 kilometers per hour, what is the distance between Station A and Station B?"} {"instruction": "A chat. If you invest $1,000 at an annual interest rate of 6% compounded annually, how much will your investment be worth after 4 years?"} {"instruction": "A chat. In a class of 40 students, 60% are female. If 10 more male students join the class, what percentage of the class will be female?"} {"instruction": "A chat. In a small town, there are 20 houses on one side of the street and 30 houses on the other side. If every house has at least one cat, and each cat catches 3 mice per day, how many mice are caught by cats in total?"} {"instruction": "A chat. You have a box containing 20 red balls and 30 blue balls. If you randomly pick one ball at a time without replacement, how many balls must you pick to guarantee that you have at least 10 red balls?"} {"instruction": "A chat. A company has an annual revenue of $1,200,000 and spends 40% on salaries, 30% on rent and utilities, and 10% on marketing. How much profit does the company make after these expenses?"} {"instruction": "A chat. If a restaurant serves 100 meals every day, how many meals does it serve in a leap year (366 days)? Show your work."} {"instruction": "A chat. If a car travels at a speed of 60 miles per hour, how far can it travel in 30 minutes? Show your work."} {"instruction": "A chat. A company has 8 employees who work 7 hours per day, 5 days a week. If the hourly wage for each employee is $15, what is the total weekly payroll cost for the company?"} {"instruction": "A chat. A shipping company needs to optimize its cargo distribution among different ports. There are five major ports in the region, each with varying capacities and handling fees. The company has a monthly cargo volume of 200,000 tons. Calculate the most cost-effective way to distribute the cargo among the ports, factoring in port capacities, handling fees, and transportation costs between the ports. Provide step-by-step reasoning for your decision.\n"} {"instruction": "A chat. There are four people sitting at a round table: Alice, Bob, Carol, and Dave. They each have a different favorite color: red, green, blue, or yellow. We know the following facts:\n1. The person who likes red is sitting opposite the person who likes green.\n2. Alice is sitting to the left of the person who likes blue.\n3. Bob is sitting to the right of the person who likes yellow.\n4. Carol does not like red.\nCan you determine everyone's favorite color?"} {"instruction": "A chat. Solve for x: 3x - 7 = 11."} {"instruction": "A chat. A rectangular garden has a length of 25 meters and a width of 15 meters. If you want to build a fence around the entire garden using wooden posts that are placed every 2 meters apart, how many wooden posts will be needed?"} {"instruction": "A chat. A company has two types of employees: full-time and part-time. Full-time employees work 40 hours per week, while part-time employees work 20 hours per week. If there are 25 employees in total and they collectively work 800 hours per week, how many full-time and part-time employees does the company have?"} {"instruction": "A chat. There are 50 students in a class. The average score on a test for all students is 75%. If the top 10 students scored an average of 90%, what was the average score for the remaining 40 students?"} {"instruction": "A chat. Solve: ((4 + 6)^2 - (3 * 2) / 2) * 3"} {"instruction": "A chat. I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I? Explain your thought process."} {"instruction": "A chat. There are 100 students in a class. Each student has a unique favorite number between 1 and 1000. What is the maximum number of students who could have a favorite number that is a multiple of 3 or 7?"} {"instruction": "A chat. A train travels at an average speed of 60 mph for 2 hours, then at 80 mph for another 3 hours. What is its average speed for the entire trip?"} {"instruction": "A chat. In a class of 30 students, 18 play soccer, 15 play basketball, and 12 play both soccer and basketball. How many students do not play either soccer or basketball?"} {"instruction": "A chat. If it takes 6 people 4 hours to build a wall, how long will it take for 12 people to build the same wall?"} {"instruction": "A chat. If a car travels at an average speed of 60 miles per hour, how far will it have traveled after 2 hours and 30 minutes?"} {"instruction": "A chat. How many times does the Earth rotate in a year?"} {"instruction": "A chat. A snail climbs up a wall during the day but slides down the same distance at night. If the wall is 20 feet high and the snail climbs 5 feet every day and slides down 5 feet every night, how many days will it take the snail to reach the top of the wall?"} {"instruction": "A chat. If a car gets 25 miles per gallon and has a fuel tank capacity of 15 gallons, how many miles can it travel on a full tank before needing to refuel?"} {"instruction": "A chat. A train travels from Town A to Town B and then to Town C. The distance between Town A and Town B is 150 miles, and the distance between Town B and Town C is 200 miles. If the train takes 3 hours to travel from Town A to Town B and 4 hours to travel from Town B to Town C, what is the average speed of the train for the entire journey?"} {"instruction": "A chat. Tom is taller than Alice. Alice is taller than Bob. Is Tom shorter than Bob?"} {"instruction": "A chat. An airline is planning to expand its fleet by purchasing new aircraft over the next ten years. They currently operate 100 planes with an average age of 15 years. To maintain a competitive edge, they want to ensure that their fleet remains modern and fuel-efficient. Calculate the number of new planes required and develop a phased replacement plan, considering factors such as maintenance costs, fuel efficiency improvements, and market demand. Provide step-by-step reasoning.\n"} {"instruction": "A chat. There are 4 red balls and 6 blue balls in a box. If you randomly pick one ball, put it back, and then pick another ball, what is the probability of picking two red balls?"} {"instruction": "A chat. A rectangular garden has a length that is 6 meters more than its width. If the area of the garden is 70 square meters, what are the dimensions of the garden?"} {"instruction": "A chat. A city consumes 150,000 kWh of electricity per day. How many GWh of electricity does the city consume in a year? Assume a year has 365 days. Show your work."} {"instruction": "A chat. Simplify the expression: 4(2x - 3) - 6(x + 1)"} {"instruction": "A chat. A farmer has 3 types of seeds: corn, wheat, and soybean. He plants them in a ratio of 4:7:9 respectively. If he plants a total of 4000 seeds, how many of each type does he plant?"} {"instruction": "A chat. A construction company is bidding on a project to build a new shopping mall. The mall will have three floors, each with a total area of 150,000 square feet. Construction costs are estimated at $125 per square foot, and additional expenses include architectural fees ($50,000), permits and licenses ($25,000), and landscaping ($75,000). Calculate the total cost of the project, and determine the minimum bid amount that would yield a 20% profit margin for the construction company.\n"} {"instruction": "A chat. A factory produces 1200 widgets per day. Each widget has a 2% chance of being defective. What is the expected number of defective widgets produced each day?"} {"instruction": "A chat. A clock shows the time as 3:15 PM. What is the angle between the hour hand and the minute hand at this exact time?"} {"instruction": "A chat. Mike can paint a house in 5 days. His brother Steve can do it in 4 days. If they work together, how long will it take them to paint the house? Explain your reasoning."} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. It takes 3 hours for the train to travel half the distance between the towns. How long does it take for the train to complete the entire journey from Town A to Town B?"} {"instruction": "A chat. A jar contains red, blue, and green marbles. The ratio of red to blue marbles is 3:4, and the ratio of blue to green marbles is 2:5. If there are 90 marbles in total, how many green marbles are there?"} {"instruction": "A chat. There are 120 students in a school. If 60% of the boys and 40% of the girls participated in a sports event, what percentage of the total students participated?"} {"instruction": "A chat. A group of people are trying to raise $10,000 for charity. On the first day, they raised $1,500. Each subsequent day, they raised 20% more than the previous day. How many days will it take them to reach their goal?"} {"instruction": "A chat. A bag contains 4 red balls, 5 blue balls, and 6 green balls. If you draw 3 balls at random without replacement, what is the probability that all three balls are different colors?"} {"instruction": "A chat. A rectangular room has a length of 15 feet and a width of 10 feet. If you walk around the perimeter of the room twice, how many feet will you have walked?"} {"instruction": "A chat. If a company sells 5000 products per month at a price of $20 each, and they decide to increase the price by 10%, how much more revenue will they generate in one month?"} {"instruction": "A chat. If a factory produces 250 units of product A and 150 units of product B every day, how many total products will the factory produce in a month with 30 days? Also, what percentage of the total production is product A?"} {"instruction": "A chat. A train travels from Town A to Town B, then back to Town A, and finally to Town C. The distance between Town A and Town B is 150 miles, and the distance between Town A and Town C is 200 miles. If the train traveled at an average speed of 60 mph during the entire trip, how long did the journey take?"} {"instruction": "A chat. What is the sum of all the integers between 100 and 200 that are divisible by both 3 and 5?"} {"instruction": "A chat. A factory produces widgets at a rate of 500 per hour. The production line runs for 8 hours a day, 5 days a week. If each widget sells for $10, how much revenue does the factory generate in one month (assume 4 weeks)?"} {"instruction": "A chat. You are given 5 different fruits. How many ways can you arrange them in a row on a shelf? Show your steps."} {"instruction": "A chat. There are 7 billion people on Earth. If each person takes up about 0.5 square meters of space, how much total space would everyone take up if they stood side by side? Please explain your thought process."} {"instruction": "A chat. In a village, there are 20 houses. Each house has a dog living in it. One day, the dogs from each of the first 10 houses go to visit the other 10 houses, while the dogs from the last 10 houses visit the first 10 houses. How many dogs are in each group of houses now?"} {"instruction": "A chat. There are 20 birds sitting on a fence. A farmer shoots and kills 5 of them. How many birds are left on the fence?"} {"instruction": "A chat. If a car burns 7 liters of fuel for every 100 kilometers, how much fuel will it burn after driving 350 kilometers? Provide step-by-step logic."} {"instruction": "A chat. A rectangle has a length of 12 inches and a width of 8 inches. If you increase the length by 50% and decrease the width by 25%, what will be the new area of the rectangle?"} {"instruction": "A chat. John has 4 sisters. Each sister has 3 brothers. How many brothers does John have? Include your logic."} {"instruction": "A chat. You have a bag containing 20 marbles. Ten marbles are red, and the rest are blue. If you draw three marbles without looking, what is the probability that you will get exactly two red marbles?"} {"instruction": "A chat. In a class of 40 students, 12 students play basketball and 18 students play soccer. If 5 students play both sports, how many students do not play either sport?"} {"instruction": "A chat. A multinational corporation plans to launch a new product line across multiple countries simultaneously. To do so, they need to consider factors such as production capacity, distribution channels, marketing strategies, and local regulations. Develop a plan for launching the new product line, taking into account these factors and providing detailed reasoning for each decision.\n"} {"instruction": "A chat. If a snail moves at a speed of 0.03 km/hr, how far would it travel in 10 hours? Show your work."} {"instruction": "A chat. In a bag of marbles, there are 5 red marbles, 3 blue marbles, and 7 green marbles. If you randomly pick two marbles without replacement, what is the probability that both marbles will be green?"} {"instruction": "A chat. A snail starts climbing up a 30-foot wall. Each day, the snail climbs 5 feet during daylight and slides down 3 feet at night. How many days will it take for the snail to reach the top of the wall?"} {"instruction": "A chat. A large hotel chain wants to optimize its room pricing strategy based on seasonal demand fluctuations. During peak season, the average occupancy rate is 95%, while during off-peak season it drops to 60%. The hotel has 500 rooms and charges $200 per night during peak season and $150 during off-peak season. Calculate the potential revenue increase if the hotel adjusts its pricing strategy to achieve an average occupancy rate of 80% during off-peak season, providing step-by-step reasoning.\n"} {"instruction": "A chat. A bag contains 12 red balls and 8 blue balls. If you randomly pick 2 balls without replacement, what is the probability of picking one red ball and one blue ball?"} {"instruction": "A chat. A company sells two products, X and Y. Product X has a profit margin of 20% and product Y has a profit margin of 30%. If the company sold $50,000 worth of product X and $30,000 worth of product Y, what is their total profit?"} {"instruction": "A chat. A store offers a 20% discount on all items during a sale. If an item originally costs $80, how much will you save if you buy it during the sale?"} {"instruction": "A chat. In a town, there are 50 houses. Each house has either cats or dogs as pets. The number of dogs is twice the number of cats. If there are 120 animals in total, how many cats are there?"} {"instruction": "A chat. A rectangular garden has a length of 50 feet and a width of 30 feet. What is the area of the garden?"} {"instruction": "A chat. A man leaves his house and walks 4 miles east, then turns left and walks another 3 miles north. He then turns left again and walks 4 miles west. Finally, he turns left once more and walks 2 miles south. How far is he from his starting point?"} {"instruction": "A chat. A restaurant serves 3 different meal options: option A, option B, and option C. Each day, 40% of customers choose option A, 35% choose option B, and 25% choose option C. If the restaurant serves 200 customers per day, how many customers will choose each meal option over a week (7 days)?"} {"instruction": "A chat. If a car travels at an average speed of 60 mph for 4 hours, how far has it traveled?"} {"instruction": "A chat. A construction company is bidding on a large commercial building project. The project requires pouring concrete for a foundation measuring 200 feet long, 100 feet wide, and 4 feet deep. The company can pour concrete at a rate of 10 cubic yards per hour using its available equipment. Calculate the total number of hours needed to complete the foundation, taking into account that each cubic yard of concrete contains 27 cubic feet. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A train travels from Station X to Station Y at a constant speed of 80 mph. The distance between the stations is 240 miles. If the train starts its journey at 8 AM, what time will it reach Station Y if it stops for a 45-minute break?"} {"instruction": "A chat. In a group of 200 people, 75% are vaccinated against a certain disease. If the vaccine is 90% effective, how many people in the group are susceptible to the disease?"} {"instruction": "A chat. In a class of 40 students, there are 10 more girls than boys. If the teacher picks one student at random, what is the probability that the chosen student is a girl?"} {"instruction": "A chat. An airline company wants to optimize its fleet by replacing older aircraft with newer, more fuel-efficient models. Currently, they have 150 planes, with an average age of 12 years. Newer planes are expected to reduce fuel consumption by 25%. The company plans to replace 10% of their fleet each year. Calculate the overall reduction in fuel consumption after 5 years, considering the replacement schedule and fuel efficiency improvements.\n"} {"instruction": "A chat. A group of friends wants to split the cost of a $100 gift card evenly among themselves. If each person contributes $12.50, how many friends are in the group?"} {"instruction": "A chat. An ant climbs 3 feet up a wall during the day but slips down 2 feet each night. If the wall is 10 feet high, how many days will it take for the ant to reach the top of the wall? Explain your thought process."} {"instruction": "A chat. A factory produces 1200 units of a product every day. How many units will it produce in 3 weeks?"} {"instruction": "A chat. A train leaves Town A heading towards Town B at 80 km/h. Another train leaves Town B heading towards Town A at 100 km/h. The two towns are 360 km apart. How long does it take for the trains to meet each other?"} {"instruction": "A chat. Five friends decide to share a pizza equally. They agree that whoever eats more than their fair share must pay extra. After they finish eating, it turns out that one friend ate 3 slices more than his fair share. How many slices were in the pizza?"} {"instruction": "A chat. A train leaves Station A at 9 AM and travels at a constant speed of 60 mph towards Station B. Another train leaves Station B at 10 AM and travels at a constant speed of 80 mph towards Station A. The distance between the two stations is 480 miles. At what time will the two trains meet?"} {"instruction": "A chat. ((6 - 2)^2 + (9 / 3) - 5) * 3 + 10 ="} {"instruction": "A chat. A large retail chain is considering implementing a new inventory management system to reduce stockouts and overstock situations in its stores. The company operates 500 stores, each carrying an average of 10,000 unique products. Develop a plan for implementing the new inventory management system, taking into account factors such as technology costs, employee training, and potential improvements in stock availability and sales performance. Explain your reasoning.\n"} {"instruction": "A chat. A large construction company is bidding on a government contract to build a network of highways connecting several major cities. The total length of the highway system is 5000 miles, and the company estimates that each mile will cost $1 million to construct. In addition to construction costs, the company must also account for land acquisition, environmental impact studies, and legal fees, which are estimated at an additional $500 million. Calculate the total cost of the project and determine the minimum bid amount the company should submit to ensure a profit margin of 15%. Additionally, estimate the number of workers needed to complete the project within five years, assuming each worker can complete one mile of highway per year.\n"} {"instruction": "A chat. Analyze the impact of an increase in government spending on aggregate demand and GDP, providing a step-by-step explanation.\n"} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. Every morning, the postman delivers mail to each house. However, on Mondays, he only delivers to houses with even numbers. On Tuesdays, he delivers to houses whose numbers are multiples of 3. On Wednesdays, he delivers to houses whose numbers are multiples of 4. This pattern continues until Sunday when he delivers to houses whose numbers are multiples of 8. How many houses receive mail every day?"} {"instruction": "A chat. If you were to walk non-stop at an average speed of 3 miles per hour, how long would it take you to walk the entire length of the equator?"} {"instruction": "A chat. A factory produces widgets in batches. Each batch contains a certain number of widgets. If the factory produces 5 batches, there will be 10 widgets left over. If the factory produces 6 batches, there will be 9 widgets left over. How many widgets are in each batch?"} {"instruction": "A chat. If a car travels at an average speed of 60 miles per hour for 4 hours, then slows down to an average speed of 40 miles per hour for another 3 hours, how far has it traveled in total?"} {"instruction": "A chat. A factory produces 250 units of a product every day for 6 days a week. If there are 4 weeks in a month, how many units does the factory produce in a month?"} {"instruction": "A chat. A class has 20 students. Each student has 2 parents. How many parents are there in total? Include your reasoning."} {"instruction": "A chat. Calculate (3^2 * 4) - (6 + 9) / 5"} {"instruction": "A chat. A group of people consists of 8 men and 6 women. In how many ways can a committee of 5 people be formed if it must include at least 2 women?"} {"instruction": "A chat. In a school election, candidate A received 35% of the votes, candidate B received 25%, and candidate C received the remaining votes. There were a total of 800 students who voted. How many more votes did candidate A receive than candidate B?"} {"instruction": "A chat. There are 120 students in a school. 40% of these students play soccer, while 30% play basketball. 15% of the students play both soccer and basketball. How many students don't play either sport?"} {"instruction": "A chat. Determine the derivative of the function f(x) = x^3 - 4x^2 + 2x - 1. Explain your reasoning.\n"} {"instruction": "A chat. If a car factory produces 150 cars per day and operates for 20 days in a month, how many cars will it produce in one year?"} {"instruction": "A chat. A factory produces 1000 widgets per day. Of these, 5% are defective. How many non-defective widgets does the factory produce in a week?"} {"instruction": "A chat. In a class of 30 students, 12 play soccer, 15 play basketball, and 8 play both soccer and basketball. How many students do not play either sport?"} {"instruction": "A chat. How many miles would a person travel if they walked for 3 hours at an average speed of 4 miles per hour?"} {"instruction": "A chat. A car travels at a constant speed of 40 mph on a straight road from Town A to Town B. On its way back from Town B to Town A, the car increases its speed to 60 mph. What is the average speed of the car for the entire trip?"} {"instruction": "A chat. A company sells two types of products: Product A and Product B. The profit margin on Product A is 20%, while the profit margin on Product B is 40%. If the company sold $10,000 worth of Product A and $5,000 worth of Product B, what was their total profit?"} {"instruction": "A chat. A group of people are playing a game where they take turns saying numbers in ascending order. The first person says \"1,\" the second person says \"2,\" and so on. When someone says a number that is divisible by 7 or contains the digit 7, they are eliminated from the game. If there are 100 people playing, which position should you choose to ensure you won't be eliminated?"} {"instruction": "A chat. In a class of 30 students, 60% passed the math test and 70% passed the English test. If 50% of the students passed both tests, what percentage of students failed both tests?"} {"instruction": "A chat. Determine the eigenvalues and eigenvectors of the matrix A = [[2, 1], [1, 2]], showing all calculations.\n"} {"instruction": "A chat. A cylindrical container has a radius of 4 inches and a height of 6 inches. If it is filled with water at a rate of 16 cubic inches per minute, how long will it take to fill the container completely?"} {"instruction": "A chat. A bag contains 6 red balls, 4 blue balls, and 5 green balls. If you randomly pick two balls at once without replacement, what is the probability that one ball is red and the other is blue?"} {"instruction": "A chat. A watch loses 2 minutes every hour. It was set correctly at noon on Monday. When will it show the correct time again?"} {"instruction": "A chat. Prove that the sum of the angles in any quadrilateral is always 360 degrees, using geometric principles.\n"} {"instruction": "A chat. A rectangle has a length that is twice its width. If the perimeter of the rectangle is 36 meters, what are the dimensions of the rectangle?"} {"instruction": "A chat. If you have a rectangular prism with dimensions of 5 cm by 3 cm by 2 cm, what is its volume?"} {"instruction": "A chat. A box contains 5 red balls, 3 blue balls, and 2 green balls. If 3 balls are picked at random without replacement, what is the probability that exactly 2 red balls are selected? Show your work."} {"instruction": "A chat. In a standard deck of 52 playing cards, what is the probability of drawing a face card (jack, queen, or king) followed by an ace, if the first card is not replaced?"} {"instruction": "A chat. A bakery makes 500 cookies in a day. Each cookie uses 25 grams of sugar. How many kilograms of sugar does the bakery use in a week? Show your work."} {"instruction": "A chat. In a class of 25 students, there are 12 boys and 13 girls. The teacher randomly picks 3 students to form a group for a project. What is the probability that all three students in the group are girls? Provide step-by-step logic."} {"instruction": "A chat. Billy starts with 10 pencils and trades 3 for erasers. How many watermelons does Billy have left?"} {"instruction": "A chat. A group of friends decides to split the cost of renting a vacation house for a weekend. The total cost of the rental is $1,500. If each person contributes an equal amount and there are 3 more people joining at the last minute, increasing the group size to 12, how much will each person now have to contribute?"} {"instruction": "A chat. A restaurant serves meals for lunch and dinner. They serve an average of 75 lunches and 100 dinners each day. The average price of a lunch is $12, while the average price of a dinner is $20. What is the restaurant's daily revenue?"} {"instruction": "A chat. A snail is at the bottom of a 30-foot well. Each day, it climbs up 3 feet and then slides back down 2 feet during the night. How many days will it take for the snail to reach the top of the well?"} {"instruction": "A chat. A farmer has ducks and cows on his farm. If he counts a total of 50 heads and 136 legs, how many ducks does he have?"} {"instruction": "A chat. If a car depreciates in value by 15% each year, what will be its approximate value after 6 years if its initial value was $20,000?"} {"instruction": "A chat. A car travels at an average speed of 55 miles per hour for 3 hours and 30 minutes. How far does the car travel in miles?"} {"instruction": "A chat. A train travels between two cities with a distance of 120 miles apart. The train takes 2 hours to complete the journey. What is its average speed?"} {"instruction": "A chat. A box contains red balls and blue balls. If there is a 60% chance of picking a red ball and a 40% chance of picking a blue ball, what is the ratio of red balls to blue balls in the box?"} {"instruction": "A chat. A company has 50 employees, with an average salary of $60,000 per year. If the company hires 10 new employees at an average salary of $45,000 per year, what will be the new average salary for all employees?"} {"instruction": "A chat. If an airplane travels at an average speed of 550 mph and needs to cover a distance of 4,500 miles, how long will it take for the plane to reach its destination?"} {"instruction": "A chat. A train travels from City A to City B at an average speed of 60 mph. On its return journey, it travels at an average speed of 80 mph due to favorable conditions. What is the average speed for the entire round trip?"} {"instruction": "A chat. A factory produces 100 units per day at a cost of $10 per unit. The daily fixed costs are $500. If each unit is sold for $15, how many units must be produced and sold to break even? Explain your reasoning.\n"} {"instruction": "A chat. Determine the derivative of the function f(x) = x^3 - 4x^2 + 6x - 1, providing step-by-step explanations.\n"} {"instruction": "A chat. A pizza shop sells 2 types of pizzas - Veggie and Pepperoni. On Monday, they sold 60 pizzas in total, twice as many Veggie pizzas as Pepperoni pizzas. How many of each type did they sell? Show your steps."} {"instruction": "A chat. A store offers a discount on a product such that the price decreases by 20% each week. If the original price was $100, what will be the price after 3 weeks?"} {"instruction": "A chat. A book has 200 pages. If you read 25 pages per day, how many days will it take you to finish the book? Show your work."} {"instruction": "A chat. A tree doubles its height every year. After 5 years, it reaches a height of 32 meters. What was the original height of the tree? Reason step-by-step."} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes the train 5 hours to travel from Town A to Town B. If another train travels at a constant speed of 80 miles per hour, how long will it take for the second train to travel from Town A to Town B?"} {"instruction": "A chat. A store offers a discount of 15% on all items during a sale. If an item originally costs $120, how much will the customer save after applying the discount?"} {"instruction": "A chat. If there are 1000 cars on a highway and 60% of them are red, how many non-red cars are there?"} {"instruction": "A chat. How many gallons of water are used by an average American household in one day if each person uses about 80-100 gallons per day and there are 2.53 people per household on average?"} {"instruction": "A chat. In a box, there are red balls and blue balls. If you pick two balls at random without replacement, the probability of getting one red ball and one blue ball is 50%. What can you say about the number of red and blue balls in the box?"} {"instruction": "A chat. A group of people want to split the cost of a $60 gift evenly among themselves. If each person contributes $4 more than they initially planned, they can buy two additional gifts. How many people are in the group?"} {"instruction": "A chat. A train travels at an average speed of 60 km/h. It stops at every station for exactly 5 minutes. There are 4 stations between point A and point B, which are 180 km apart. How long does it take for the train to travel from point A to point B, including stops?"} {"instruction": "A chat. A car rental company charges $20 per day for renting a car plus an additional fee of $0.10 per mile driven. If Alice rents a car from this company and drives it for 150 miles, how much will she pay in total?"} {"instruction": "A chat. Determine whether the series \u2211(1/n^2) converges or diverges."} {"instruction": "A chat. There are 15 birds on a tree branch. A hunter shoots and kills 3 of them. How many birds are left on the tree branch?"} {"instruction": "A chat. A jar contains only red and blue marbles. If you pick two marbles at random without replacement, the probability of getting one red marble and one blue marble is 2/5. If there are 10 marbles in total, how many red marbles are there?"} {"instruction": "A chat. In a school, there are 25 students in each class. If there are 12 classes, how many students are there in the school? Provide step-by-step logic."} {"instruction": "A chat. There are 4 red balls, 5 blue balls, and 6 green balls in a bag. If you randomly pick one ball at a time without replacement, what is the probability of picking a red ball first, then a blue ball, and finally a green ball?"} {"instruction": "A chat. A factory produces 1200 widgets every day. How many widgets are produced in a week if the factory operates for 6 days a week?"} {"instruction": "A chat. An airline company is considering upgrading its fleet of aircraft to improve fuel efficiency and reduce emissions. The current fleet consists of 50 planes, each with an average fuel consumption of 5 gallons per mile and an annual mileage of 1 million miles. The new planes have a fuel consumption rate of 3.5 gallons per mile. Calculate the total fuel savings in gallons if the entire fleet is replaced with the new planes, and estimate the return on investment based on the difference in fuel costs, assuming the price of jet fuel is $2 per gallon.\n"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B in one day. If each unit of product A weighs 4 pounds and each unit of product B weighs 6 pounds, what is the total weight of the products produced in a week?"} {"instruction": "A chat. If you invest $5,000 in an account that earns 3% annual interest compounded annually, how much money will be in the account after 5 years?"} {"instruction": "A chat. A bag contains 12 marbles - 4 red, 4 blue, and 4 green. If you randomly pick two marbles without replacement, what is the probability that both marbles are the same color?"} {"instruction": "A chat. In a group of people, 65% have brown eyes, and 35% have blue eyes. Among those with brown eyes, 40% wear glasses. Among those with blue eyes, 70% wear glasses. If you randomly pick someone wearing glasses, what is the probability that they have brown eyes?"} {"instruction": "A chat. A store offers a discount on bulk purchases such that for every 5 items bought, you get an additional item for free. If someone buys 27 items, how many free items do they receive?"} {"instruction": "A chat. In a class of 30 students, 60% received a passing grade on a recent exam. How many more students need to pass the exam to reach a 75% passing rate?"} {"instruction": "A chat. A farmer has 20 cows and 15 goats. Each cow gives 8 liters of milk per day, while each goat gives 3 liters of milk per day. How much more milk does the farmer get from cows than goats after one week?"} {"instruction": "A chat. A store sells books at $15 each and magazines at $5 each. The store sold a total of 60 items and made $600 in sales. How many books and magazines were sold?"} {"instruction": "A chat. In a certain country, half of the population lives in the capital city. One quarter of the remaining population live in the second largest city. The rest of the population, 18 million people, live elsewhere. What is the total population of the country? Show your work."} {"instruction": "A chat. How much water (in gallons) is there in an Olympic-sized swimming pool?"} {"instruction": "A chat. If a company spends $10,000 on advertising and gains 500 new customers as a result, what is the average cost per acquired customer?"} {"instruction": "A chat. A farmer has chickens and cows in his farm. There are a total of 32 heads and 84 legs. How many chickens does the farmer have?"} {"instruction": "A chat. A factory produces widgets in batches of 25. Each widget weighs 0.8 kg. The factory needs to ship these widgets to a client using boxes that can hold a maximum weight of 16 kg each. What is the minimum number of boxes needed to ship a batch of widgets?"} {"instruction": "A chat. A car travels 150 miles on a full tank of gas. If the car gets 25 miles per gallon, how many gallons does the car's gas tank hold?"} {"instruction": "A chat. If a bee visits 5 flowers in one minute, how many flowers will it visit in the span of an hour? Explain your reasoning."} {"instruction": "A chat. A box contains 6 black socks and 4 white socks. If you pick two socks at random without looking, what is the probability that both socks are black?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the two towns is 120 miles. If the train takes 30 minutes less time to complete the journey when its speed is increased by 20 mph, what is the original speed of the train?"} {"instruction": "A chat. An amusem*nt park wants to build a new roller coaster ride. The park has a budget of $12 million for the project, which includes design, construction, and testing. Design costs account for 15% of the total budget, while testing accounts for 10%. The actual construction of the roller coaster is divided into three phases: track installation (50%), support structure (25%), and theming (15%). Calculate the budget allocation for each phase of the project and explain your reasoning.\n"} {"instruction": "A chat. A train travels from City A to City B in 5 hours. The distance between the two cities is 300 miles. If the train makes a stop for 30 minutes at a station halfway through the journey, how fast was the train traveling during its trip (excluding the time it stopped)?"} {"instruction": "A chat. If there are approximately 7.9 billion people on Earth and each person has two hands with five fingers on each hand, how many total fingers do all the people have?"} {"instruction": "A chat. A car rental company charges $20 per day for renting a car, plus an additional $0.15 per mile driven. If a customer has a budget of $100 for a one-day rental, how many miles can they drive without exceeding their budget?"} {"instruction": "A chat. A rectangular garden is 30 meters long and 20 meters wide. If you were to walk around the perimeter of the garden, how many meters would you have walked?"} {"instruction": "A chat. If a committee consists of 12 people, how many ways can a chairperson, secretary, and treasurer be chosen?"} {"instruction": "A chat. In a group of people, 20% have brown eyes, 30% have green eyes, and the rest have blue eyes. If there are 45 people with green eyes, how many people are in the group?"} {"instruction": "A chat. Solve the equation: 5(2x - 3) - 4(x + 1) = 9."} {"instruction": "A chat. A car dealership has an inventory of 200 cars. Each month, they sell 20% of their inventory and then restock with 50 new cars. How many cars will they have in their inventory after 6 months?"} {"instruction": "A chat. Evaluate the integral of g(x) = 2x^3 - 5x^2 + 3x from x=0 to x=2."} {"instruction": "A chat. In a standard deck of 52 playing cards, what is the probability of drawing two consecutive cards of the same suit without replacement?"} {"instruction": "A chat. In a group of people, everyone either tells the truth all the time or lies all the time. If person A says \"I am a liar,\" what can you conclude about person A?"} {"instruction": "A chat. How many seconds does it take for light to travel from the Sun to Earth?"} {"instruction": "A chat. In a school, there are 400 students. Among them, 60% are boys. The school wants to maintain a ratio of 4:3 (boys to girls). How many more girls should be admitted to achieve this ratio?"} {"instruction": "A chat. In a room, there are 4 cats. Each cat is sitting in one corner of the square-shaped room and facing the center. They all start walking at the same time towards the cat they see directly across from them. How many times do the cats cross paths?"} {"instruction": "A chat. In a town, 1/3 of the people have blue eyes, 1/4 have green eyes, and the rest have brown eyes. If there are 60 more people with brown eyes than those with blue eyes, how many people live in the town?"} {"instruction": "A chat. In a group of 50 people, 20 are vegetarians, and 30 are non-vegetarians. Among the vegetarians, 12 prefer spicy food, while among the non-vegetarians, 18 prefer spicy food. If one person is chosen at random from the group, what is the probability that they are a vegetarian who prefers spicy food?"} {"instruction": "A chat. A company sells products at a 25% profit margin. If they sold an item for $100, what was their cost price for that item?"} {"instruction": "A chat. A car rental company has 200 cars available for rent. Out of these, 60% are compact cars, 25% are sedans, and the rest are SUVs. How many SUVs does the company have?"} {"instruction": "A chat. There are 50 apples on a tree. If 20% of the apples fall off the tree, how many apples remain on the tree?"} {"instruction": "A chat. A book has 500 pages. You read 20 pages every day except on Sundays when you read 30 pages. How long will it take you to finish the book? Provide your logic."} {"instruction": "A chat. If a basketball player scores an average of 25 points per game over a season of 82 games, how many more points would they have scored if their average was 30 points per game instead?"} {"instruction": "A chat. How many times does a typical car tire rotate in one mile of driving?"} {"instruction": "A chat. There are 12 apples in a basket. If you take away 4 apples and then put back 2 apples, how many apples will be left in the basket?"} {"instruction": "A chat. Tom is twice as old as Jerry. Five years ago, Tom was three times as old as Jerry. How old are Tom and Jerry now?"} {"instruction": "A chat. A telecommunications company is planning to expand its network coverage by installing new cell towers. Each tower can cover a circular area with a radius of 10 miles, but overlapping coverage should be minimized to avoid interference. Calculate the number of towers needed to provide coverage for a region measuring 100 miles by 150 miles, and suggest an efficient placement strategy that takes into account population density, terrain, and existing infrastructure.\n"} {"instruction": "A chat. If a fair six-sided die is rolled three times, what is the probability that the sum of the numbers rolled will be exactly 10?"} {"instruction": "A chat. In a class of 40 students, 60% are female. If 5 more male students join the class, what percentage of the class will be female?"} {"instruction": "A chat. If a factory produces 1500 items per day and operates for 300 days in a year, how many items will it produce in 5 years if its production rate increases by 10% each year?"} {"instruction": "A chat. There are 7 billion people in the world. On average, each person breathes out 1 kilogram of carbon dioxide per day. How many metric tons of carbon dioxide do humans exhale in a year? Assume a year has 365 days."} {"instruction": "A chat. A rectangular garden measures 25 feet by 30 feet. The owner wants to increase the length and width of the garden by 5 feet each. What will be the new area of the garden after this expansion?"} {"instruction": "A chat. You have two coins that add up to 30 cents, and one of them is not a nickel. What are the two coins?"} {"instruction": "A chat. If you have a standard deck of 52 playing cards and draw one card at random, what is the probability that it will be either a king or a heart?"} {"instruction": "A chat. A factory produces 1000 widgets per day. Each widget requires 10 minutes of labor from one worker. If the factory operates for 8 hours per day, how many workers are needed to meet the daily production quota?"} {"instruction": "A chat. A restaurant serves 150 customers per day on average, and each customer spends an average of $20. If the restaurant is open for 360 days a year, what is its annual revenue?"} {"instruction": "A chat. You have two hourglasses: one measures exactly 7 minutes and the other measures exactly 11 minutes. Using only these two hourglasses, how can you measure exactly 15 minutes?"} {"instruction": "A chat. If you invest $10,000 in a savings account with an annual interest rate of 3%, how much money will you have after one year?"} {"instruction": "A chat. There are 10 apples in a basket. You take away 5 apples but add 6 oranges. How many apples are left in the basket?"} {"instruction": "A chat. A store sells bags of candy with a mix of red, blue, and green candies. The ratio of red to blue candies is 3:2, and the ratio of blue to green candies is 5:4. What is the ratio of red to green candies?"} {"instruction": "A chat. How many liters of water are needed to fill a cylindrical tank with a diameter of 2 meters and a height of 3 meters?"} {"instruction": "A chat. The Earth has an equatorial circumference of approximately 40,075 kilometers. If you were to walk around the Earth at the equator without stopping, and you walked at a constant speed of 5 kilometers per hour, how long would it take you to complete the journey?"} {"instruction": "A chat. If a bacteria population doubles every hour, how many bacteria will there be after 8 hours if the initial population is 50?"} {"instruction": "A chat. If a restaurant serves 100 meals a day and wastes about 10% of its food, how much food is wasted over a year? Assume the restaurant is open 365 days a year. Show your reasoning."} {"instruction": "A chat. A cylindrical container has a radius of 6 inches and a height of 10 inches. What is its volume in cubic inches?"} {"instruction": "A chat. If you have a cylindrical container with a radius of 4 inches and a height of 6 inches, what is its volume in liters?"} {"instruction": "A chat. If Sarah has 15 cookies and eats 4 sandwiches, how many cookies does she have left?"} {"instruction": "A chat. If you were to stack pennies on top of each other until they reached the height of Mount Everest (29,029 feet), how many pennies would you need?"} {"instruction": "A chat. A train leaves Town A and heads towards Town B at a constant speed of 80 km/h. At the same time, another train leaves Town B and heads towards Town A at a constant speed of 100 km/h. If the distance between Town A and Town B is 360 km, how far apart will the trains be after 1 hour?"} {"instruction": "A chat. In a box, there are red balls and blue balls. If you randomly pick two balls at once without replacement, the probability of getting one red ball and one blue ball is 1/2. If there are 10 red balls in the box, how many blue balls are there?"} {"instruction": "A chat. In a room, there are 4 people. Each person has a different number of apples. Person A has twice as many apples as Person B. Person C has half the number of apples that Person B has. Person D has one more apple than Person A. If the total number of apples in the room is 21, how many apples does each person have?"} {"instruction": "A chat. A store sells three types of candies: A, B, and C. The ratio of candies sold is 2:3:5 respectively. If the store sells a total of 500 candies in one day, how many of each type of candy did they sell?"} {"instruction": "A chat. A company decides to give a bonus of $600 to its employees. The managers receive 50% more than the regular employees. If there are 3 managers and 17 regular employees, how much bonus does each manager and employee receive? Show your steps."} {"instruction": "A chat. If a person reads 20 pages per day for 5 days and then increases their reading rate to 30 pages per day for the next 10 days, how many pages will they have read in total?"} {"instruction": "A chat. If a company produces 500 units of a product every day and sells each unit for $10, what is their total revenue after 30 days?"} {"instruction": "A chat. Determine the radius of convergence for the power series \u03a3((x-2)^n)/n!."} {"instruction": "A chat. In a certain city, there are 25,000 households. If 60% of these households have at least one pet, and 30% of pet-owning households have more than one pet, how many pets are there in total?"} {"instruction": "A chat. There are 12 people in a room. Half of them are sitting, a third of them are standing, and the rest are lying down. How many people are lying down?"} {"instruction": "A chat. Three friends went out for dinner. They agreed to split the bill evenly. The total bill came to $60. However, when they were about to pay, they realized that one friend had forgotten his wallet. How much should the other two friends pay to cover the cost of the meal?"} {"instruction": "A chat. In a bag of marbles, 25% are red. If there are 80 marbles in total, how many are not red? Show your work."} {"instruction": "A chat. A store sells books for $12 each and CDs for $8 each. If a customer buys a combination of books and CDs totaling $100, how many different combinations of books and CDs can they purchase?"} {"instruction": "A chat. If a company has 250 employees and wants to reduce its workforce by 12%, how many employees will be left after the reduction?"} {"instruction": "A chat. A factory produces 500 units of product A per day and 300 units of product B per day. The factory operates 20 days per month. How many units of products A and B are produced in one year?"} {"instruction": "A chat. In a village, every man has exactly 4 sons. Each son has exactly 3 sisters. What is the ratio of boys to girls in the village?"} {"instruction": "A chat. John has twice as many apples as oranges, and he has three times as many oranges as bananas. If John has 18 bananas, how many pieces of fruit does he have in total?"} {"instruction": "A chat. Solve: (4^2 * 3) / 2 + 5 * (9 - 3)"} {"instruction": "A chat. In a village, there are 20 houses. Each house has 4 people living in it. One day, the mayor of the village announces that they will build 5 new houses and each new house will have 3 people living in it. What is the average number of people per house after the new houses are built?"} {"instruction": "A chat. A store sells 500 units of product A per month at a price of $10 each. The store wants to increase the price by 15%. How much revenue will the store generate from product A after the price increase?"} {"instruction": "A chat. A company produces two types of products, A and B. Product A requires 3 units of raw material per item, while product B requires 5 units of raw material per item. If the company has 200 units of raw material available, and they want to produce at least 30 items of product A and at least 20 items of product B, what is the maximum number of items they can produce in total?"} {"instruction": "A chat. An airline is planning to introduce a new fleet of aircraft with increased fuel efficiency and passenger capacity. The airline currently operates 50 planes that can carry an average of 200 passengers each, with a fuel consumption rate of 5 gallons per mile. The new aircraft will have a capacity of 250 passengers and consume 4 gallons per mile. Calculate the potential increase in revenue from higher passenger numbers and the savings in fuel costs over a year if the airline replaces its entire fleet with the new aircraft. Also, estimate the initial investment required to purchase the new planes and determine the payback period for this investment."} {"instruction": "A chat. A factory produces widgets at a rate of 200 units per hour. Due to increased demand, the factory decides to increase production by 25%. How many widgets will the factory produce in one 8-hour workday after the increase?"} {"instruction": "A chat. Solve the system of equations: x + y = 5, x - y = 1."} {"instruction": "A chat. A train travels 100 miles in 2 hours and then stops at a station for half an hour. After leaving the station, it takes another 3 hours to travel the remaining 150 miles to its destination. What is the average speed of the train for the entire journey?"} {"instruction": "A chat. There are 100 people in a room. Each person knows at least one other person in the room. What is the minimum number of handshakes needed for everyone to have shaken hands with someone they know?"} {"instruction": "A chat. A zoo is planning to construct a new exhibit for endangered species. The exhibit will cover an area of 10 acres and will be divided into four separate habitats for different animal groups. Each habitat must have at least 2 acres but cannot exceed 4 acres. Determine the possible combinations of acreage allocation for the four habitats, ensuring that the total area does not exceed 10 acres. Describe your reasoning.\n"} {"instruction": "A chat. Using Laplace transforms, solve the following differential equation: y'' + 3y' + 2y = e^-t, with initial conditions y(0) = 0 and y'(0) = 0. Explain your steps.\n"} {"instruction": "A chat. In a town, 70% of the men are married to 90% of the women. What is the minimum percentage of the population that is married? Show your reasoning."} {"instruction": "A chat. A store sells three types of candies: A, B, and C. The ratio of the prices is 2:3:5, respectively. If the total cost of buying 4 candies of type A, 6 candies of type B, and 10 candies of type C is $57, what is the price of each candy?"} {"instruction": "A chat. A company has two factories producing widgets. Factory A produces 60% of the total widgets and has a defect rate of 4%. Factory B produces the remaining 40% of the widgets and has a defect rate of 8%. If a widget is chosen at random from the combined output of both factories, what is the probability that it is defective?"} {"instruction": "A chat. A company sells two types of widgets: Type X and Type Y. The profit margin for Type X is 20%, while the profit margin for Type Y is 30%. If the company sold 200 units of Type X at $50 each and 150 units of Type Y at $80 each, what was their total profit?"} {"instruction": "A chat. In a game show, there are three doors. Behind one door is a car, and behind the other two doors are goats. You choose Door 1. The host, who knows what's behind each door, opens Door 3 to reveal a goat. He then asks if you want to switch your choice to Door 2 or stick with Door 1. What should you do to maximize your chances of winning the car?"} {"instruction": "A chat. A factory produces 3 types of products: X, Y, and Z. The production ratio is 4 units of product X to 6 units of product Y to 10 units of product Z. If the factory produces a total of 200 units per day, how many units of each product are produced daily?"} {"instruction": "A chat. A farmer has 20 sheep, and all but 8 die. How many sheep does the farmer have left?"} {"instruction": "A chat. In a room, there are 4 dogs and 6 cats. Each dog has 3 legs, and each cat has 4 legs. If two more cats enter the room, how many total legs will be in the room?"} {"instruction": "A chat. In a classroom, there are 24 students. The ratio of boys to girls is 3:5. How many boys and girls are there in the classroom?"} {"instruction": "A chat. There are 100 birds sitting on a fence. If half of them decide to fly away, how many birds are left?"} {"instruction": "A chat. A company has 500 employees, and 60% of them have completed a training program. How many more employees need to complete the training program for the percentage to increase to 80%?"} {"instruction": "A chat. In a bag, there are 7 red balls, 6 blue balls, and 5 green balls. If you randomly pick one ball from the bag without looking, what is the probability that it will be either a red or a blue ball?"} {"instruction": "A chat. Calculate the derivative of f(x) = e^(2x) * cos(x)."} {"instruction": "A chat. In a class of 40 students, 60% have brown eyes, 30% have blue eyes, and the remaining students have green eyes. How many students have each eye color?"} {"instruction": "A chat. A farmer has chickens and cows on his farm. He counts 40 heads and 112 legs. How many chickens and how many cows does he have? Provide step-by-step logic."} {"instruction": "A chat. A car factory produces 500 cars per day. Each car requires 4 tires. How many tires does the factory need in a week (7 days) to keep up with production? Show your work."} {"instruction": "A chat. A rectangular garden has a length of 25 feet and a width of 12 feet. What is the perimeter of the garden in feet?"} {"instruction": "A chat. A store sells books for $15 each. If they offer a discount of 20% on every third book purchased, how much would it cost to buy 9 books?"} {"instruction": "A chat. If you have a deck of 52 playing cards, what is the probability of drawing an Ace or a King in your first draw?"} {"instruction": "A chat. A film production company wants to produce a movie with a budget of $50 million. The main expenses include actor salaries (40% of the budget), crew wages (20% of the budget), equipment rentals (15% of the budget), location fees (10% of the budget), and post-production costs (15% of the budget). Calculate the total amount allocated for each expense category, and determine how much can be spent on marketing and distribution if the company wants to maintain a 30% profit margin.\n"} {"instruction": "A chat. An electronics manufacturer wants to determine the optimal production rate for a new product based on projected demand and available resources. The company estimates that they will sell 10,000 units per month and has a production capacity of 12,000 units per month. Each unit requires 2 hours of labor to produce, and the company has a workforce of 100 employees working 40-hour weeks. Calculate the number of additional employees needed to meet production goals while maintaining a reasonable workload for existing employees. Explain your reasoning.\n"} {"instruction": "A chat. A deck of standard playing cards contains 52 cards, divided into four suits (hearts, diamonds, clubs, and spades), each with thirteen cards (A, 2-10, J, Q, K). What is the probability of drawing two kings from the deck if the first card drawn is not replaced?"} {"instruction": "A chat. An airline company is planning to expand its fleet by purchasing new aircraft. Each aircraft costs $120 million and can accommodate up to 300 passengers. The company has a budget of $1 billion for this expansion. Additionally, the airline needs to hire pilots and flight attendants for these new aircraft. Each aircraft requires two pilots and six flight attendants per flight. Pilots earn an average annual salary of $100,000, while flight attendants earn $50,000. Calculate how many new aircraft the airline can purchase and the number of staff members needed to operate them, considering both the initial investment and ongoing personnel costs.\n"} {"instruction": "A chat. A factory produces 100 units of a product every day. Each unit costs $10 to produce. The factory sells each unit for $15. However, 20% of the produced units are defective and cannot be sold. What is the daily profit of the factory?"} {"instruction": "A chat. In a certain village, all men are required to wear hats. Half of the villagers are men, and half of the men wear blue hats while the other half wear red hats. If there are 200 people in the village, how many women wear hats?"} {"instruction": "A chat. A father has three children. The oldest child is twice as old as the youngest child. The middle child is half the age of the oldest child. If the total age of all three children is 36 years, how old is each child?"} {"instruction": "A chat. A shipping company wants to optimize its cargo transportation between two ports. They have three types of ships available: small (capacity of 1000 tons), medium (capacity of 5000 tons), and large (capacity of 10,000 tons). Each ship type has different operating costs per trip: $20,000 for small, $50,000 for medium, and $80,000 for large. The company needs to transport 50,000 tons of cargo per month while minimizing their operational costs. Determine the optimal number of trips for each ship type to meet the monthly demand, taking into account the capacity and operating costs. Explain your reasoning.\n"} {"instruction": "A chat. If a person reads 20 pages per hour, how many pages can they read in 45 minutes?"} {"instruction": "A chat. A bag contains 5 red balls, 4 blue balls, and 6 green balls. If you randomly pick 3 balls from the bag without replacement, what is the probability that all 3 balls will be different colors?"} {"instruction": "A chat. If an airplane travels at an average speed of 550 miles per hour and it takes 10 hours to reach its destination, how far away is the destination?"} {"instruction": "A chat. A library has 500 books. If 30% of the books are fiction and the rest are non-fiction, how many non-fiction books does the library have? Explain your thought process."} {"instruction": "A chat. A university is planning to upgrade its campus-wide Wi-Fi network to accommodate the increasing number of students and devices. The current network can support up to 10,000 simultaneous connections, but the university expects this number to grow by 15% annually over the next five years. To meet this demand, they need to determine the optimal combination of access points, switches, and routers to purchase while staying within their budget of $500,000. Consider the costs of equipment, installation, and ongoing maintenance when making your recommendations.\n"} {"instruction": "A chat. A company has 100 employees, with 60% working full-time and the rest working part-time. Full-time employees earn an average salary of $50,000 per year, while part-time employees earn an average of $30,000 per year. What is the total payroll expense for the company?"} {"instruction": "A chat. A large hotel chain wants to implement a waste reduction program across all its properties. They estimate that by reducing food waste by 25%, they can save $3 million annually on food purchases. Additionally, by reducing water usage by 15%, they expect to save another $2 million per year. However, the initial investment required for equipment upgrades and employee training is $10 million. Determine how long it will take for the hotel chain to recover their initial investment through these savings.\n"} {"instruction": "A chat. An airline is analyzing its flight routes to determine which ones generate the most revenue. They have data on the number of passengers, ticket prices, and flight distances for each route. The airline wants to calculate the revenue per mile flown on each route to identify the most profitable ones. Describe a step-by-step process for calculating this metric and provide an example calculation using hypothetical data.\n"} {"instruction": "A chat. A zoo plans to construct a new exhibit for endangered species. The exhibit area is divided into four sections, each housing a different species. The total area of the exhibit is 50,000 square feet, with the following area distribution: 40% for Species A, 30% for Species B, 20% for Species C, and 10% for Species D. Calculate the individual areas for each species' section and estimate the number of animals that can be housed in each section based on the recommended space requirements: 500 sq ft per animal for Species A, 400 sq ft per animal for Species B, 600 sq ft per animal for Species C, and 800 sq ft per animal for Species D.\n"} {"instruction": "A chat. A factory produces 500 units of product A per day. The production rate increases by 5% every week. How many units will be produced after 3 weeks?"} {"instruction": "A chat. If a car travels at an average speed of 50 miles per hour for the first half of a journey and then increases its speed to 70 miles per hour for the second half, what is the average speed for the entire journey?"} {"instruction": "A chat. A factory produces 500 units of product A every day. The production cost per unit is $15, and each unit is sold for $25. What is the daily profit from selling product A?"} {"instruction": "A chat. A large supermarket chain wants to optimize its inventory management system by implementing a just-in-time (JIT) delivery model. The company currently holds an average of $10 million worth of perishable goods in stock at any given time, with a monthly turnover rate of 90%. Calculate the potential cost savings if the JIT model reduces inventory levels by 50% without affecting sales volume. Also, estimate the reduction in food waste based on industry averages. Explain your calculations and assumptions.\n"} {"instruction": "A chat. If all dogs are mammals and all mammals are animals, does that mean all dogs are animals?"} {"instruction": "A chat. There are 6 apples in a basket. You take away 4 apples from the basket. How many apples do you have now?"} {"instruction": "A chat. A factory produces 100 units per day, and each unit takes 5 minutes to produce. If the factory operates for 10 hours a day, what is the utilization rate of the factory?"} {"instruction": "A chat. A rectangular garden is 12 meters long and 8 meters wide. If you want to build a fence around the entire garden, how many meters of fencing do you need?"} {"instruction": "A chat. A train travels at an average speed of 60 kilometers per hour for 4 hours before stopping for a 30-minute break. After the break, it continues traveling at an average speed of 75 kilometers per hour for another 3 hours. What is the total distance covered by the train?"} {"instruction": "A chat. A factory produces 50 widgets per hour. Each widget is inspected and has a 10% chance of being defective. If there are 8 working hours in a day, what is the expected number of non-defective widgets produced in one day?"} {"instruction": "A chat. A rectangular garden has a length of 30 meters and a width of 15 meters. If you want to build a fence around the entire garden using posts that are placed 5 meters apart, how many posts will you need?"} {"instruction": "A chat. In a class of 30 students, there are 10 more girls than boys. How many boys are in the class?"} {"instruction": "A chat. An online retailer is expanding its product range and needs to update its warehouse storage capacity accordingly. The company currently stores 500,000 items in its warehouse, occupying 80% of the available space. With the expansion, they expect to add another 300,000 items to their inventory. Determine the additional storage space required, as well as the percentage increase in warehouse size needed to accommodate the expanded inventory without exceeding 90% occupancy.\n"} {"instruction": "A chat. If a tree produces 1000 leaves in spring and loses 20 leaves per day until fall when it loses all its leaves, how many days does this process last? Provide step-by-step logic."} {"instruction": "A chat. An airline company wants to optimize its fleet size by analyzing the number of flights per day, average distance traveled, fuel consumption, and maintenance costs. They currently have three types of aircraft: small (capacity: 150 passengers), medium (capacity: 250 passengers), and large (capacity: 400 passengers). The company operates 500 flights per day, covering an average distance of 1,000 miles per flight. Fuel consumption rates are 5 mpg for small planes, 4 mpg for medium planes, and 3 mpg for large planes. Maintenance costs are $10,000 per month for small planes, $20,000 for medium planes, and $30,000 for large planes. Determine the most cost-effective fleet composition that meets the company's operational needs. Explain your reasoning.\n"} {"instruction": "A chat. Calculate the value of the expression: 4 * (3^2 - 1) / 2"} {"instruction": "A chat. A factory has three machines that produce the same item. Machine A produces 50 items per hour, machine B produces 70 items per hour, and machine C produces 90 items per hour. If all three machines work together for 5 hours, how many items will they produce in total?"} {"instruction": "A chat. A farmer has 20 sheep, and all but 8 die. How many sheep are left?"} {"instruction": "A chat. Calculate the moment of inertia of a solid sphere about its diameter."} {"instruction": "A chat. A box contains 8 red balls, 5 blue balls, and 7 green balls. If you randomly draw 3 balls from the box without replacement, what is the probability that you will get one ball of each color?"} {"instruction": "A chat. A city plans to improve its waste management system by increasing recycling rates. Currently, the city recycles 40% of its solid waste, generating $2 million in revenue from selling recyclable materials. The city aims to increase the recycling rate to 60% over the next five years. Estimate the potential increase in revenue from selling recyclable materials once the target recycling rate is achieved. Provide detailed calculations.\n"} {"instruction": "A chat. A factory produces widgets at a constant rate. In one hour, the factory produces enough widgets to fill 5 crates. Each crate holds 20 widgets. How long will it take for the factory to produce enough widgets to fill 200 crates?"} {"instruction": "A chat. If a company produces 1000 widgets per day and the production increases by 5% each month, how many widgets will be produced on the last day of the third month?"} {"instruction": "A chat. A hospital wants to upgrade its emergency department by adding more beds and hiring additional staff. Currently, the emergency department has 50 beds and treats an average of 200 patients per day. The hospital aims to increase its capacity by 25%, taking into account the required space for beds, equipment, and staff areas. Calculate the additional square footage needed for this expansion and estimate the number of new staff members to be hired, considering the current patient-to-staff ratio.\n"} {"instruction": "A chat. A man has three daughters. The product of their ages is 36, and the sum of their ages is equal to the house number across the street. The oldest daughter has a dog. What are the ages of his daughters?"} {"instruction": "A chat. In a game show, there are two doors labeled A and B. Behind one door is a car, and behind the other is a goat. You choose Door A, but before it's opened, the host (who knows what's behind each door) opens Door B to reveal a goat. The host then asks if you want to switch your choice to Door A or stick with your original choice. What should you do? Explain your reasoning."} {"instruction": "A chat. Use Green's theorem to evaluate the line integral \u222eC F\u00b7dr, where F(x,y) = and C is the unit circle centered at the origin."} {"instruction": "A chat. A town has a population of 50000 people. On average, each person drinks 2 liters of water per day. How many cubic meters of water does the town consume in a year? Assume a year has 365 days and note that 1 cubic meter equals 1000 liters."} {"instruction": "A chat. A train travels at a constant speed between two cities that are 240 miles apart. It takes 4 hours for the train to travel from City A to City B and 6 hours to return from City B to City A. What is the average speed of the train during the entire trip?"} {"instruction": "A chat. An airline wants to optimize its flight schedule between two major cities. Currently, they operate 10 flights per day, each with a capacity of 200 passengers. Their analysis shows that demand varies throughout the day, with peak hours requiring more flights than off-peak hours. Determine how many flights should be scheduled during peak and off-peak hours to maximize revenue while minimizing operational costs. Consider factors such as ticket prices, fuel costs, crew wages, and airport fees.\n"} {"instruction": "A chat. There are 8 birds on a fence. A hunter shoots and kills one of the birds. How many birds remain on the fence?"} {"instruction": "A chat. There are 100 students in a school choir. Of these students, 60% are girls. During a performance, 20% of the girls and 30% of the boys were absent. How many students were present during the performance?"} {"instruction": "A chat. If a book has 500 pages and you read 20 pages every day, how many days will it take to finish the book? Show your work."} {"instruction": "A chat. A rectangular garden has an area of 200 square meters and a perimeter of 60 meters. What are the dimensions of the garden?"} {"instruction": "A chat. In a bag containing 5 red balls, 3 blue balls, and 2 green balls, what is the probability of randomly selecting two balls without replacement such that one ball is red and the other is blue?"} {"instruction": "A chat. A hospital is conducting a research study on the effectiveness of a new therapy program for patients recovering from surgery. They plan to enroll 500 patients into the study over a period of one year. Each patient will undergo six weeks of therapy, attending sessions three times per week. If each session lasts one hour and there are 10 therapists available, calculate the maximum number of patients that can be enrolled in the program simultaneously, taking into account that each therapist can only work 40 hours per week.\n"} {"instruction": "A chat. A company offers three different types of subscriptions for its customers: basic, premium, and deluxe. If there are 120 customers in total, and twice as many customers have a basic subscription compared to those with a premium subscription, while half as many customers have a deluxe subscription compared to those with a premium subscription, how many customers have each type of subscription?"} {"instruction": "A chat. A company produces 1000 units of a product every day, with each unit costing $8 to produce. If they sell each unit for $12, how much profit will they make in one month (assuming 30 days)?"} {"instruction": "A chat. A city is planning to install public Wi-Fi hotspots throughout its downtown area. The city has allocated $500,000 for this project. Each hotspot costs $10,000 to install and requires an additional $1,000 per year for maintenance. If the city wants to ensure that it can cover maintenance costs for at least five years within the given budget, calculate the maximum number of hotspots they can install. Explain your reasoning.\n"} {"instruction": "A chat. In a family, there are 3 sons and each son has 2 sisters. The father is twice as old as the mother. If the sum of all their ages is 110 years, how old is the youngest child?"} {"instruction": "A chat. In a group of 30 people, there are 15 men who all have blue eyes and 10 women with green eyes. The remaining people have brown eyes. What is the probability that a person chosen randomly from this group has brown eyes?"} {"instruction": "A chat. If a store has 12 different types of candy and you want to buy 5 different types, how many possible combinations can you make?"} {"instruction": "A chat. There are 25 red balls and 75 blue balls in a box. If you randomly pick one ball from the box, what is the probability that it will be red?"} {"instruction": "A chat. There are 100 closed lockers in a hallway. A student walks down the hall and opens every locker. Then, a second student walks down the hall and closes every other locker starting from locker number 2. A third student then changes the state of every third locker (if it's open, they close it; if it's closed, they open it), starting from locker number 3. This process continues until the 100th student changes the state of only the 100th locker. After this, how many lockers are left open?"} {"instruction": "A chat. If a water tank has a capacity of 500 liters and is currently filled with 300 liters of water, how many more liters are needed to fill the tank completely?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 mph. It takes 2 hours for the train to complete the journey. If the train were to travel at a speed of 80 mph, how long would it take for the train to complete the same journey?"} {"instruction": "A chat. A train travels at a speed of 90 kilometers per hour. How many kilometers does it travel in 40 minutes?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. It takes 5 hours for the train to travel from station A to station B. If the train increases its speed by 20%, how long will it take to travel from station A to station B?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding new buses and extending routes. The current fleet has 100 buses, each with a capacity of 50 passengers. The city wants to increase the total passenger capacity by 25% while maintaining the same number of buses in operation at any given time. Each new bus costs $300,000 and has a capacity of 60 passengers. Calculate how many new buses should be purchased and how many old buses should be replaced to achieve the desired capacity increase, considering that the budget for this project is $6 million.\n"} {"instruction": "A chat. A deck of cards contains 52 cards, including 4 aces. If you draw 5 cards at random without replacement, what is the probability that you get exactly 2 aces?"} {"instruction": "A chat. A farmer has 20 sheep, and all but 9 die. How many are left?"} {"instruction": "A chat. There are 50 students in a class. Among them, 20 students play basketball, 30 students play soccer, and 10 students play both basketball and soccer. How many students do not play either basketball or soccer?"} {"instruction": "A chat. A rocket launches into space traveling at 25,000 mph. How many bananas are on board the rocket?"} {"instruction": "A chat. A professional sports team is evaluating its roster and salary cap situation for the upcoming season. The team has a total payroll budget of $100 million and needs to sign or re-sign 25 players. Based on player performance metrics, market value, and contract demands, determine the optimal allocation of the payroll budget to build a competitive roster while staying within league salary cap rules.\n"} {"instruction": "A chat. If a bacteria population doubles every hour, how many times larger is the population after 36 hours compared to its initial size?"} {"instruction": "A chat. A factory produces 500 units of a product every day. Each unit costs $20 to produce, and they sell each unit for $50. If the factory operates 25 days per month, what is their monthly profit?"} {"instruction": "A chat. A city is planning to build a new sports complex with multiple facilities, including a soccer field, basketball courts, and a swimming pool. The construction budget is $10 million, and the cost breakdown is as follows: 40% for the soccer field, 30% for the basketball courts, and 20% for the swimming pool. The remaining 10% of the budget will be allocated for landscaping and parking lots. Calculate the individual budgets for each facility and determine how many square feet can be covered by each budget if the average construction cost per square foot is $200.\n"} {"instruction": "A chat. A store sells two types of apples: red apples and green apples. The ratio of red apples to green apples sold is 3:2. If the store sells 500 apples in total, how many red apples were sold?"} {"instruction": "A chat. A father is 40 years old, and his son is 10 years old. In how many years will the father be twice as old as his son?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 mph. The distance between the two towns is 180 miles. Halfway through the journey, the train stops for 30 minutes due to technical issues. What is the average speed of the entire trip?"} {"instruction": "A chat. In a room, there are 5 people who shake hands with each other once. How many handshakes occur in total?"} {"instruction": "A chat. A store sells apples and oranges. Each apple costs $1.50, and each orange costs $1.00. You have a $10 bill and want to buy exactly 5 pieces of fruit. How many apples and oranges can you buy?"} {"instruction": "A chat. A rectangular garden is 15 meters long and 8 meters wide. If you want to build a fence around it with an additional 1-meter buffer on all sides, what will be the length and width of the fenced area?"} {"instruction": "A chat. If a tree grows 2 inches taller every year, how much taller will it be after 25 years? Show your work."} {"instruction": "A chat. In a room, there are 10 people. Half of them are wearing glasses, and the other half are not. If 3 more people enter the room wearing glasses, what fraction of the people in the room are now wearing glasses?"} {"instruction": "A chat. A box contains red balls and green balls. The probability of picking a red ball is 2/3. If there are 18 green balls, how many red balls are in the box?"} {"instruction": "A chat. Derive the Black-Scholes option pricing formula, providing detailed explanations for each step in your derivation."} {"instruction": "A chat. In a group of 30 people, there are 10 doctors and 20 engineers. Among the doctors, 6 have PhDs while among the engineers, 12 have PhDs. If we randomly select one person from this group, what is the probability that they are a doctor with a PhD? Explain your reasoning."} {"instruction": "A chat. In a classroom, there are 8 boys and 12 girls. If half of the boys leave the room and one-third of the girls leave the room, how many students remain in the classroom?"} {"instruction": "A chat. There are 50 coins in a bag, consisting of 20 pennies, 15 nickels, 10 dimes, and 5 quarters. If you reach into the bag without looking and pull out a coin, what is the probability that it is either a penny or a quarter?"} {"instruction": "A chat. If a committee of 5 people needs to be formed from a group of 12 men and 7 women, how many different committees can be made if at least 3 women must be on the committee?"} {"instruction": "A chat. A man claims he can predict the outcome of a dice roll with 90% accuracy. If he predicts correctly on his first attempt, what is the probability that he actually has the ability to predict dice rolls with 90% accuracy? Assume there's a 1% chance that someone can have this ability."} {"instruction": "A chat. A zoo plans to expand its facilities by adding new animal enclosures and exhibits. They have a budget of $20 million for this project. The zoo wants to allocate 50% of the budget for mammal exhibits, 30% for bird exhibits, and 20% for reptile exhibits. Calculate the individual budgets for each type of exhibit and estimate the number of new enclosures that can be built if the average cost per enclosure is $2 million for mammals, $1.5 million for birds, and $1 million for reptiles. Provide step-by-step reasoning.\n"} {"instruction": "A chat. There are 4 houses in a row. The blue house is to the left of the red house, and the green house is to the right of the yellow house. If no two adjacent houses have the same color, which house is furthest to the right?"} {"instruction": "A chat. A spherical ball has a diameter of 12 centimeters. What is its surface area?"} {"instruction": "A chat. How many miles would a person walk in a week if they walked 10,000 steps per day?"} {"instruction": "A chat. A store sells two types of widgets: Type A and Type B. The profit on each Type A widget is $4, while the profit on each Type B widget is $7. If the store sold a total of 100 widgets and made a total profit of $550, how many of each type of widget were sold?"} {"instruction": "A chat. Given the metric space (R, d), where d(x,y) = |x-y|^p for some p > 0, prove that this space is complete."} {"instruction": "A chat. A bag contains 5 red balls and 7 blue balls. If you randomly pick 3 balls from the bag without replacement, what is the probability that exactly 2 of them are red?"} {"instruction": "A chat. If you invest $5,000 at an annual interest rate of 4%, compounded quarterly, how much will your investment be worth after 2 years?"} {"instruction": "A chat. A telecommunications company is planning to launch a new mobile network across a country with varying terrain and population densities. They need to determine the optimal number of cell towers to install, considering signal strength, coverage area, and infrastructure costs. Describe a method for collecting data on existing networks, topographical features, and user preferences to calculate the required number of cell towers and their strategic placement.\n"} {"instruction": "A chat. Derive the Black-Scholes option pricing model, providing a detailed explanation of each step.\n"} {"instruction": "A chat. A store sells 5 types of fruit. If a customer wants to buy exactly 10 fruits but doesn't care about the type, how many different combinations of fruits can they purchase?"} {"instruction": "A chat. A company produces widgets at a cost of $10 each. They sell them for $25 each. The company has fixed costs of $5000 per month. How many widgets do they need to sell in order to break even?"} {"instruction": "A chat. There are 5 apples and 3 oranges in a basket. If you randomly pick one fruit, then put it back, and randomly pick another fruit, what is the probability that both fruits picked were apples?"} {"instruction": "A chat. A family consists of two parents, three sons, and two daughters. Each son has 2 sisters and each daughter has 3 brothers. How many children do the parents have? Use step-by-step reasoning."} {"instruction": "A chat. In a town, 30% of the people have blue eyes, and 70% have brown eyes. Among the blue-eyed people, 60% are men, while among the brown-eyed people, 40% are men. What percentage of the total population are men?"} {"instruction": "A chat. A national park wants to improve its visitor experience by adding new facilities and amenities. The park currently attracts 1 million visitors per year and aims to increase annual visitation by 15% within three years. Determine the types and quantities of new facilities needed (e.g., restrooms, picnic areas, parking spaces) based on current usage patterns and projected growth. Also, estimate the investment required for these improvements, taking into account construction costs and ongoing maintenance expenses."} {"instruction": "A chat. In a certain city, there are 2,000 households. Out of these households, 60% have at least one dog and 30% have at least one cat. If 20% of households have both a dog and a cat, how many households have neither a dog nor a cat?"} {"instruction": "A chat. In a village, every villager either always tells the truth or always lies. You meet three villagers named Alice, Bob, and Carol. Alice says \"Bob is a liar.\" Bob says \"Carol is a liar.\" Carol says \"Alice and Bob are both liars.\" Can you determine who is telling the truth and who is lying?"} {"instruction": "A chat. A bag contains 4 red balls, 3 blue balls, and 5 green balls. If you draw two balls at random without replacement, what is the probability that both balls will be green?"} {"instruction": "A chat. A shipping company needs to transport 10,000 packages from one city to another. Each truck can carry up to 500 packages, and the distance between the cities is 800 miles. The trucks have a fuel consumption rate of 7 miles per gallon, and diesel costs $4 per gallon. Calculate the number of trucks needed for this shipment, as well as the total fuel cost for the entire fleet.\n"} {"instruction": "A chat. You have a 5-gallon jug and a 3-gallon jug with no measurement markings. You need exactly 4 gallons of water. How can you measure 4 gallons using these two jugs?"} {"instruction": "A chat. A train travels from City A to City B in 6 hours. It then takes another 4 hours to travel from City B to City C. If the distance between City A and City B is 300 miles, and the train maintains a constant speed throughout its journey, what is the distance between City B and City C?"} {"instruction": "A chat. In a town, there are 3 barbers. Barber A has a clean shop and a good haircut. Barber B has a dirty shop but also gives a good haircut. Barber C has a clean shop but gives a bad haircut. If you were to choose one barber for your haircut, which one should you go to?"} {"instruction": "A chat. A group of friends decide to split the cost of a $75 meal evenly. However, two friends say they forgot their wallets and can't pay. As a result, each of the remaining friends has to pay an extra $5. How many friends are in the group? Explain your thinking."} {"instruction": "A chat. A committee of 5 people is to be formed from a group of 7 men and 6 women. In how many ways can the committee be formed if it must include at least 2 women?"} {"instruction": "A chat. In a room, there are 12 people, including John and Mary. If every person shakes hands with every other person exactly once, how many handshakes will take place?"} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" All labels are incorrect. You may pick one fruit from one box without looking inside. How can you correctly label all the boxes by picking just one fruit?"} {"instruction": "A chat. There are 5 houses in a row, each painted a different color. The green house is immediately to the left of the white house. The blue house is at one end of the row. The red house is next to the yellow house but not next to the blue house. What color is the house on the far right?"} {"instruction": "A chat. If a farmer has 15 acres of land and wants to plant corn on 60% of the land, how many acres will be used for planting corn?"} {"instruction": "A chat. A large retail chain plans to open 20 new stores across the country over the next three years. Each store will require an initial investment of $2 million and generate an estimated annual profit of $500,000. Develop a financial projection for this expansion, taking into account factors such as inflation, interest rates, and potential risks. Explain your methodology and provide detailed calculations.\n"} {"instruction": "A chat. A sphere has a volume of 288 cubic inches. What is the radius of the sphere in inches?"} {"instruction": "A chat. There are 6 red balls and 4 blue balls in a bag. You randomly pick 3 balls from the bag. What is the probability that you will get at least one red ball?"} {"instruction": "A chat. A factory produces 200 widgets per day. Due to a malfunction, every third widget produced is defective. If the factory operates for 10 days, how many non-defective widgets will be produced during this period?"} {"instruction": "A chat. A factory can produce 120 widgets per hour. If the factory operates 8 hours a day, 5 days a week, how many widgets can it produce in 4 weeks?"} {"instruction": "A chat. A cone-shaped paper cup has a diameter of 6 cm and a height of 12 cm. What is the volume of the cup?"} {"instruction": "A chat. Alice, Bob, and Carol are playing a game where they take turns saying numbers starting from 1 and going up sequentially. They continue until someone says the number 50. Alice goes first, followed by Bob, and then Carol. Who will say the number 50?"} {"instruction": "A chat. A library has 16 rows of shelves. Each row has 6 shelves and each shelf holds 10 books. Half of the books are red, one quarter are blue, and the rest are green. How many green books are there? Walk me through your solution."} {"instruction": "A chat. If a class of 30 students takes a test and their average score is 75%, what would be the new average if one more student takes the test and scores 90%?"} {"instruction": "A chat. A box contains 10 red balls, 20 blue balls, and 30 green balls. If you randomly pick three balls without replacement, what is the probability that you will get one ball of each color?"} {"instruction": "A chat. There are 4 boxes, each containing a different number of apples. Box A has more apples than Box B but fewer apples than Box C. Box D has the least number of apples. If we know that Box C contains 15 apples and Box D contains 5 apples, which box has the most apples?"} {"instruction": "A chat. A farmer has a rectangular field that is 200 meters long and 150 meters wide. He wants to plant trees around the perimeter of the field, with each tree being planted 10 meters apart from one another. How many trees will he need to plant?"} {"instruction": "A chat. Three friends decide to share a pizza equally. However, one friend arrives late, so the other two eat half of the pizza before he gets there. How much of the pizza should each person get now?"} {"instruction": "A chat. A telecommunications company is planning to launch a new satellite to provide internet coverage to remote areas. The satellite has a lifespan of 15 years and costs $500 million to build and launch. The company plans to charge customers $100 per month for the service, with an estimated customer base of 200,000 subscribers. Calculate the minimum number of subscribers needed for the company to break even within the satellite's operational life, providing step-by-step reasoning."} {"instruction": "A chat. A train travels from City A to City B at an average speed of 60 mph. The distance between the cities is 240 miles. After reaching City B, the train immediately returns to City A but increases its average speed by 20 mph for the return trip. What is the average speed of the entire round trip?"} {"instruction": "A chat. A population of bacteria doubles every hour. If there are initially 100 bacteria, how many will there be after 6 hours? Provide step-by-step reasoning.\n"} {"instruction": "A chat. A rectangular garden measures 50 feet in length and 30 feet in width. What is the area of this garden in square yards?"} {"instruction": "A chat. John has 6 red balls and 4 blue balls in a bag. He randomly picks one ball from the bag, notes its color, and puts it back in the bag. Then he repeats this process two more times. What is the probability that John picked exactly 2 red balls?"} {"instruction": "A chat. A train travels at an average speed of 80 mph and takes 6 hours to complete its journey. What is the distance traveled by the train?"} {"instruction": "A chat. A train travels at an average speed of 80 kilometers per hour for 3 hours and then slows down to an average speed of 60 kilometers per hour for the next 2 hours. How many total kilometers does it travel?"} {"instruction": "A chat. There are 5 apples on the table. You take away 2 apples. Then, you bring back 1 apple. After that, your friend takes away 3 apples. How many apples are left on the table?"} {"instruction": "A chat. A restaurant chain plans to open 15 new locations over the next 3 years. Each location requires an initial investment of $500,000 for construction and equipment. The average annual revenue per location is $1.2 million, with a net profit margin of 10%. Calculate the total initial investment required and estimate the return on investment (ROI) after 3 years, considering all locations are operational throughout this period. Explain your calculations.\n"} {"instruction": "A chat. A library contains 12000 books. If 25% of the books are fiction, how many non-fiction books are there in the library? Provide step-by-step logic."} {"instruction": "A chat. A snail is climbing up a wall that is 10 meters high. Each day it climbs 3 meters, but at night, it slides down 2 meters. How many days will it take for the snail to reach the top of the wall?"} {"instruction": "A chat. In a class of 40 students, 12 play football, 18 play basketball, and 25 play volleyball. 5 students play both football and basketball, 8 play both football and volleyball, and 10 play both basketball and volleyball. 2 students play all three sports. How many students don't play any sport?"} {"instruction": "A chat. In a village, there are 10 families. Each family has at least one child. If each family has an odd number of children and the total number of children in the village is 35, what is the minimum number of children that the family with the most children can have?"} {"instruction": "A chat. Evaluate the integral of the function f(x) = x^3 - 6x^2 + 11x - 6 from x = 0 to x = 3. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a standard deck of playing cards, what is the probability of drawing a face card or a red card?"} {"instruction": "A chat. There are 3 red marbles, 4 blue marbles, and 5 green marbles in a bag. If you randomly pick two marbles from the bag without replacement, what is the probability that both marbles will be green?"} {"instruction": "A chat. A box contains red, blue, and green balls. There are twice as many red balls as blue balls, and there are half as many green balls as red balls. If there are 10 blue balls, how many balls are in the box?"} {"instruction": "A chat. If a company has 500 employees and decides to give each employee a 10% raise, how much more will the company spend on salaries per year if the average salary is $50,000?"} {"instruction": "A chat. A factory produces 500 units of product A per day and has a fixed cost of $2000 per month. Each unit costs $5 to produce. If they sell each unit for $10, how many units do they need to sell per month to break even? Explain your reasoning.\n"} {"instruction": "A chat. A box contains red balls and blue balls. The probability of picking a red ball is 3/5. If there are 20 blue balls in the box, how many red balls are there?"} {"instruction": "A chat. A train travels at an average speed of 80 kilometers per hour and takes 3 hours to reach its destination. If the train had traveled 20% faster, how long would it have taken to reach the same destination?"} {"instruction": "A chat. If a car rental company has 150 cars, and 40% of them are currently rented out, how many more cars need to be rented for the total percentage of rented cars to reach 75%?"} {"instruction": "A chat. A supermarket chain wants to determine the optimal pricing strategy for a popular product that sells at a rate of 1,000 units per week when priced at $10 per unit. Market research indicates that for every $1 increase in price, sales decrease by 100 units per week. Conversely, for every $1 decrease in price, sales increase by 100 units per week. Calculate the profit-maximizing price point, given that the cost of producing each unit is $6. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the towns is 100 miles. If the train takes 2 hours to complete the journey, what would be its average speed during the trip?"} {"instruction": "A chat. A cylindrical container has a radius of 4 inches and a height of 8 inches. What is its volume?"} {"instruction": "A chat. In a group of 30 people, how many handshakes will occur if everyone shakes hands with everyone else exactly once?"} {"instruction": "A chat. How many minutes does it take for light from the Sun to reach Earth?"} {"instruction": "A chat. If you have a cylindrical container with a radius of 4 inches and a height of 6 inches, what is its volume in cubic inches?"} {"instruction": "A chat. A father is three times as old as his son. In 15 years, the father will be twice as old as his son. How old is the father currently?"} {"instruction": "A chat. If a train travels at an average speed of 60 km/h for 3 hours and then increases its speed to 80 km/h for another 2 hours, how far does it travel in total?"} {"instruction": "A chat. If a spider spins a web at a rate of 3 meters per hour, how long will it take to spin a web that is 15 meters long? Explain your thought process."} {"instruction": "A chat. You walk into a room with a matchstick. There is an oil lamp, a gas stove, and a fireplace with logs ready to burn. Which one should you light first?"} {"instruction": "A chat. A company produces two products, A and B. Product A requires 4 hours of labor, and product B requires 6 hours. If the company has a total of 240 hours of labor available per week, how many units of each product can be produced if they want to produce an equal number of both products?"} {"instruction": "A chat. If a day on Venus lasts 243 Earth days, how many Venusian days are there in one Earth year? Reason step-by-step."} {"instruction": "A chat. In a group of 100 people, 65 have read Book A, 45 have read Book B, and 30 have read both books. How many people have not read either book?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 6 meters and a height of 10 meters. What is its volume in cubic meters?"} {"instruction": "A chat. A jar contains 4 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of drawing two red marbles in a row without replacement?"} {"instruction": "A chat. A rectangle has a length that is twice its width. If the perimeter of the rectangle is 36 units, what are the dimensions of the rectangle?"} {"instruction": "A chat. A plane crashes exactly on the border between two countries. In which country should the survivors be buried?"} {"instruction": "A chat. In a certain city, the average monthly rent for a one-bedroom apartment is $1,200. If the average monthly rent increases by 5% each year, what will be the average monthly rent for a one-bedroom apartment in this city after 3 years?"} {"instruction": "A chat. An airline is considering adding a new route between two major cities. The distance between the cities is 1,500 miles, and the airline expects to operate three daily round-trip flights using aircraft with a seating capacity of 180 passengers. Calculate the total number of available seats per week on this route, as well as the estimated fuel consumption and operating costs, assuming an average fuel burn rate of 0.05 gallons per seat-mile and a fuel cost of $2.00 per gallon. Also, estimate the break-even ticket price required to cover these costs, given a target load factor of 80%.\n"} {"instruction": "A chat. There are 100 people in a room. 50 of them are wearing red hats, and the other 50 are wearing blue hats. If we randomly select two people from the room, what is the probability that both of them will be wearing red hats?"} {"instruction": "A chat. A factory produces 150 units of a product per day. Due to increasing demand, they decide to increase production by 20% each week. How many units will they produce on the 4th week?"} {"instruction": "A chat. A train travels between two cities, City A and City B, which are 300 miles apart. The train leaves City A at 9 AM and arrives in City B at 3 PM. It then leaves City B at 4 PM and arrives back in City A at 10 PM. What is the average speed of the train for the entire trip?"} {"instruction": "A chat. Five friends are standing in a line facing forward. Alice is standing to the left of Bob but to the right of Eve. Dave is standing to the right of Carol but to the left of Eve. Who is standing at the farthest left?"} {"instruction": "A chat. A bank offers a savings account with an annual interest rate of 3%. If a customer deposits $10,000 into the account and leaves it untouched for 5 years, how much will be in the account at the end of the 5-year period?"} {"instruction": "A chat. In a village, there are 100 houses. If the first house has 1 candy, the second house has 2 candies, the third house has 3 candies, and so on until the last house which has 100 candies, how many candies do the even-numbered houses have in total?"} {"instruction": "A chat. A factory produces 100 widgets per hour. The quality control team inspects every widget produced and finds that 5% are defective. If a worker can inspect 20 widgets per hour, how many workers are needed to inspect all the widgets produced in an 8-hour shift?"} {"instruction": "A chat. A factory produces 100 units of product A and 200 units of product B each day. Product A requires 2 hours to produce, while product B takes 3 hours. If the factory operates for 10 hours per day, how many workers are needed to meet production requirements?"} {"instruction": "A chat. There are 5 people in a room, including Alice and Bob. If Alice leaves the room and then two more people enter, how many people are now in the room?"} {"instruction": "A chat. (4^2 - 3 * 5) / (6 + 2 * 7) ="} {"instruction": "A chat. If a car travels at an average speed of 60 mph for 3 hours, how far has it traveled in kilometers? (1 mile = 1.60934 km)"} {"instruction": "A chat. An airline wants to determine the most profitable routes for its fleet of aircraft. The airline operates 100 planes with varying capacities, ranging from 150 to 300 passengers. The cost of operating each flight depends on factors such as fuel consumption, crew salaries, airport fees, and maintenance. Calculate the potential revenue and profit for each route, considering ticket prices, passenger demand, and competition from other airlines. Provide step-by-step reasoning for your analysis.\n"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour. If it takes the train 4 hours and 30 minutes to travel between two cities, what is the distance between the cities?"} {"instruction": "A chat. A hospital wants to upgrade its medical equipment in all departments. There are a total of 15 departments, each requiring different types and quantities of equipment. The average cost per piece of equipment ranges from $5,000 to $500,000, depending on the department's needs. The hospital has a budget of $20 million for this upgrade. Develop a plan to allocate funds among the departments while considering their specific requirements and provide detailed reasoning.\n"} {"instruction": "A chat. A bag contains 4 red balls, 3 blue balls, and 2 green balls. If you draw one ball at random, what is the probability of drawing a blue or green ball?"} {"instruction": "A chat. In a small town, there are 4 barbers. Each barber cuts hair for exactly 3 other barbers in the town. How many total haircuts do all the barbers give to each other?"} {"instruction": "A chat. A train travels 50% faster than a car. Both start from point A at the same time and reach point B, 75 miles away, simultaneously. On the way, however, the train lost 12.5 minutes while stopping at the stations. What is the speed of the car?"} {"instruction": "A chat. A store offers a discount on a product such that customers pay only 70% of the original price. If the discounted price is $84, what was the original price?"} {"instruction": "A chat. If a car factory produces 500 cars per day, and each car requires 4 tires, how many tires does the factory need to produce in one month (assuming 30 days)?"} {"instruction": "A chat. A pharmaceutical company is planning to expand its research and development facilities to accommodate the growing demand for new drugs. The company currently has three R&D centers, each with an annual budget of $50 million. They want to build two additional centers over the next five years, while also increasing the overall R&D budget by 25%. Calculate the total investment required for this expansion and outline a strategy for allocating resources effectively across all centers."} {"instruction": "A chat. If a car travels at an average speed of 60 miles per hour for 4 hours and then at an average speed of 45 miles per hour for another 3 hours, how far has it traveled?"} {"instruction": "A chat. A box contains 4 apples, 6 oranges, and 2 bananas. If you randomly pick one fruit from the box, eat it, and then randomly pick another fruit from the box, what is the probability that both fruits are the same type?"} {"instruction": "A chat. A store offers a discount on bulk purchases. For every 10 items bought, you get a 2% discount on the total price. If a customer buys 50 items, what will be their total discount percentage?"} {"instruction": "A chat. A company produces 500 units of product X per day at a cost of $20 per unit. The company sells each unit for $30. What is the daily profit?"} {"instruction": "A chat. You have 10 apples. You eat 2 apples and then give half of what you have left to a friend. How many apples do you have now? Explain your thought process."} {"instruction": "A chat. A train travels from City A to City B in 3 hours. The distance between the two cities is 150 miles. What is the average speed of the train?"} {"instruction": "A chat. Prove that the square root of 2 is irrational."} {"instruction": "A chat. If a cylindrical water tank has a diameter of 6 feet and a height of 10 feet, how many gallons of water can it hold? (Note: 1 cubic foot \u2248 7.48 gallons)"} {"instruction": "A chat. A factory produces 150 widgets per hour. Due to increased demand, they decide to increase production by 25%. After the increase, how many widgets does the factory produce in 8 hours?"} {"instruction": "A chat. In a room, there are 7 people who shake hands with each other once. How many handshakes occur? Use logical steps to solve."} {"instruction": "A chat. Solve the system of equations:\n 2x - y = 4\n x + 3y = 5\nProvide step-by-step reasoning.\n"} {"instruction": "A chat. At a party, there are 20 people. Each person shakes hands with every other person exactly once. How many handshakes take place at the party?"} {"instruction": "A chat. A store sells a pack of 12 pens for $4.80. If you want to buy 60 pens, how much would it cost?"} {"instruction": "A chat. A bacteria population doubles every 4 hours. If there are initially 500 bacteria, how many will there be after 20 hours?"} {"instruction": "A chat. A city is planning to build a new sports stadium with a seating capacity of 60,000 spectators. The construction budget is $1 billion, and the project timeline is three years. Calculate the required monthly spending to stay within budget and complete the project on time. Additionally, estimate the annual maintenance costs for the stadium, considering factors such as utilities, staffing, and repairs.\n"} {"instruction": "A chat. A store sells pencils in packs of 12. Jane needs to buy pencils for her class of 30 students. If she wants each student to have 3 pencils, how many packs does she need to buy?"} {"instruction": "A chat. If a triangle has sides of length 7, 24, and 25, is it a right triangle?"} {"instruction": "A chat. A large hospital needs to calculate its monthly usage of disposable gloves. On average, each healthcare worker uses six pairs of gloves per shift. There are 1,200 healthcare workers in the hospital working in three shifts, each lasting eight hours. Each worker works five days a week. Calculate the total number of gloves needed per month, considering that there are four weeks in a month.\n"} {"instruction": "A chat. A factory produces 500 units of product A every day for 6 days a week. The production cost for each unit is $20, and they sell each unit for $35. What is their weekly profit?"} {"instruction": "A chat. A factory produces 200 units of product per day, and each unit is sold for $50. The factory has fixed costs of $3000 per month and variable costs of $10 per unit produced. How much profit does the factory make in a 30-day month?"} {"instruction": "A chat. You have a jar filled with 200 jelly beans. If you eat 15 jelly beans a day, how long will it take until the jar is empty? Include your logic."} {"instruction": "A chat. Solve the equation e^(2x) - 5e^x + 6 = 0"} {"instruction": "A chat. If a car travels at an average speed of 60 miles per hour, how long will it take to travel 450 miles?"} {"instruction": "A chat. A factory produces 200 widgets per day. Each widget undergoes a quality check, and 95% pass the test. The factory then packages the widgets into boxes, with each box containing 10 widgets. How many full boxes can be made from one day's production?"} {"instruction": "A chat. A company has an annual budget of $120,000 for employee training programs. If each program costs $4,000 to run and can accommodate up to 20 employees, how many programs can be held and how many employees can participate in total?"} {"instruction": "A chat. Solve: (6 / 2) * (1 + 2)^2 - 3 ="} {"instruction": "A chat. A company sells a product with a fixed cost of $20,000 and a variable cost of $5 per unit. If they sell each unit for $15, how many units do they need to sell to break even?"} {"instruction": "A chat. There are 50 apples and 30 oranges in a basket. If you randomly pick one fruit from the basket without looking, what is the probability that it is an apple?"} {"instruction": "A chat. A national railway operator plans to upgrade its fleet by purchasing new high-speed trains. The current fleet consists of 100 trains, each with a capacity of 400 passengers. The new trains will have a capacity of 500 passengers, and the company wants to replace 30% of its existing fleet. Calculate the overall change in passenger capacity and determine how many additional passengers the upgraded fleet can accommodate on their busiest route, which typically utilizes 90% of the available capacity. Provide step-by-step reasoning."} {"instruction": "A chat. In a group of people, 40% have brown eyes, 30% have green eyes, and the rest have blue eyes. If we randomly select two people from this group, what is the probability that at least one person has blue eyes?"} {"instruction": "A chat. If you were traveling at a constant speed of 60 miles per hour, how long would it take you to reach the Moon, assuming the average distance between Earth and the Moon is 238,900 miles?"} {"instruction": "A chat. A car rental company has a fleet of 50 cars. The company rents out 80% of its cars on weekdays and 95% of its cars on weekends. How many more cars are rented out on weekends compared to weekdays?"} {"instruction": "A chat. How many gallons of water are used by an average American household in one year?"} {"instruction": "A chat. A cruise ship company is designing a new luxury liner with a capacity of 3000 passengers. The ship will have various types of cabins, including standard, deluxe, and suites. Standard cabins can accommodate 2 passengers, deluxe cabins can hold 3 passengers, and suites can house 4 passengers. The company wants to maximize revenue by optimizing the number of each type of cabin while maintaining a 1:2:1 ratio between standard, deluxe, and suite cabins. Calculate the optimal number of each cabin type and the total revenue generated per cruise, assuming that standard cabins cost $1000 per person, deluxe cabins cost $1500 per person, and suites cost $2000 per person.\n"} {"instruction": "A chat. A factory produces 200 units of Product A and 300 units of Product B every day. Each unit of Product A requires 4 hours of labor, while each unit of Product B requires 3 hours of labor. If the factory operates 8 hours a day, how many workers are needed to meet the daily production target?"} {"instruction": "A chat. Find the derivative of the function f(x) = 3x^2 - 5x + 7 using calculus. Show your work.\n"} {"instruction": "A chat. A factory produces 100 widgets per hour. If each widget weighs 5 pounds, how many hours will it take for the factory to produce 2500 pounds worth of widgets?"} {"instruction": "A chat. A factory produces 200 widgets per day. Due to an increase in demand, the factory decides to produce 50% more widgets per day. How many widgets will the factory produce per day after the increase?"} {"instruction": "A chat. A factory produces 3 types of products - A, B, and C. The profit for each product is $5, $7, and $10 respectively. If the factory produces 100 units of Product A, 150 units of Product B, and 200 units of Product C in a month, what is the total profit generated?"} {"instruction": "A chat. A hospital is evaluating its emergency room (ER) capacity and efficiency. On average, the ER receives 200 patients per day, with 80% requiring immediate attention and 20% being non-urgent cases. The hospital has 30 ER beds and operates 24 hours a day. Each urgent case takes an average of 3 hours to treat, while non-urgent cases take 1 hour. Calculate the minimum number of additional ER beds needed to ensure all patients receive timely treatment. Provide step-by-step reasoning.\n"} {"instruction": "A chat. There are 6 cats in a room and each cat has 4 legs. How many legs are there in total?"} {"instruction": "A chat. A factory produces widgets in batches of 50. In a week, the factory can produce at most 1200 widgets. If the factory operates at full capacity, how many incomplete batches will there be at the end of the week?"} {"instruction": "A chat. There are 12 apples on a table. You take away 5 apples, but then you put back 3 apples. How many apples do you have now?"} {"instruction": "A chat. In a game, players can earn points by collecting stars or completing challenges. Each star is worth 5 points, and each challenge is worth 20 points. If a player has collected a total of 60 points from 8 combined stars and challenges, how many stars and challenges did the player collect?"} {"instruction": "A chat. A construction company is building a new residential complex with 500 apartments. Each apartment has an average of 5 rooms, and each room requires 4 power outlets. The electrician charges $50 for installing each outlet. Calculate the total cost of installing all the power outlets in the complex and determine if the company can stay within its electrical installation budget of $400,000.\n"} {"instruction": "A chat. In a class of 20 students, 12 are boys and 8 are girls. If a teacher randomly selects two students from the class, what is the probability that both students will be girls?"} {"instruction": "A chat. A circular pond has a diameter of 10 meters. What is the area of the pond in square meters? (Use \u03c0 \u2248 3.14)"} {"instruction": "A chat. If a company produces 1000 units of a product per day and the production cost is $5 per unit, how much will they save in one month if they reduce their production costs by 10%?"} {"instruction": "A chat. A sphere has a surface area of 100 square centimeters. What is its volume?"} {"instruction": "A chat. If you were to stack one million US pennies on top of each other, how tall would the stack be (in meters)?"} {"instruction": "A chat. A store sells apples for $1 each and oranges for $2 each. Alice bought a total of 10 fruits, spending exactly $15. How many apples and oranges did she buy?"} {"instruction": "A chat. What is the sum of the interior angles of a dodecagon (12-sided polygon)?"} {"instruction": "A chat. A factory produces 150 units of a product per hour. If the factory operates 16 hours a day, how many units will it produce in a week?"} {"instruction": "A chat. An amusem*nt park wants to build a new roller coaster that will attract more visitors. The estimated construction cost is $15 million, and the expected increase in ticket sales is projected to be 5,000 additional tickets per week at an average price of $50 per ticket. The park also expects to earn an additional $10 per visitor from food and merchandise sales. Determine how long it will take for the amusem*nt park to recover the initial investment in the roller coaster, assuming they operate 52 weeks a year.\n"} {"instruction": "A chat. Solve the system of equations: y = 2x + 1 and y = -x + 4"} {"instruction": "A chat. If a person walks at an average speed of 3 miles per hour for 1 hour and 40 minutes, how far does he walk?"} {"instruction": "A chat. A construction company is bidding on a project to build a bridge over a river. The bridge will be 1,000 feet long and require 50 support columns evenly spaced along its length. Each column requires 100 cubic yards of concrete and costs $150 per cubic yard. Calculate the total cost of materials for the support columns, as well as the labor cost assuming that each worker can pour one column per day at a daily wage of $200. Provide step-by-step reasoning.\n"} {"instruction": "A chat. Tom is taller than Tim. Tim is shorter than Tina. Tina is shorter than Tom. If Tom stands on Tim's shoulders, who will be the tallest?"} {"instruction": "A chat. Every person in a room shakes hands with every other person exactly once. If there were a total of 66 handshakes, how many people were in the room? Include your logic."} {"instruction": "A chat. If you could drive at a constant speed of 60 miles per hour straight up into the sky, how long would it take to reach the Moon?"} {"instruction": "A chat. If a bacteria population doubles every 3 hours, how long will it take for the population to increase tenfold?"} {"instruction": "A chat. A company produces 1000 widgets per day at a cost of $10 per widget. If they sell each widget for $15, what is their profit after 30 days?"} {"instruction": "A chat. A company sells widgets for $15 each. The cost to produce each widget is $7. If the company sells 5,000 widgets per month, what is their gross profit margin percentage?"} {"instruction": "A chat. There are 12 months in a year. Each month has approximately 4 weeks. How many weeks are there in three years? Explain step-by-step."} {"instruction": "A chat. A factory produces 1000 widgets per day. On Monday, 10% of the widgets are defective. On Tuesday, 5% of the widgets are defective. What is the percentage of defective widgets produced over these two days?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 mph. After reaching Town B, it immediately returns to Town A at a constant speed of 90 mph. What is the average speed of the entire round trip?"} {"instruction": "A chat. A group of friends wants to split a restaurant bill evenly among themselves. The total bill comes to $120, and there are 6 people in the group. How much does each person need to contribute?"} {"instruction": "A chat. A construction company has been contracted to build a large residential complex consisting of 500 apartment units. Each unit requires 1,000 square feet of flooring material, with three options available: hardwood ($8 per sq ft), laminate ($4 per sq ft), and carpet ($2 per sq ft). The developer wants to offer a mix of flooring options to cater to different buyer preferences but must stay within a budget of $2 million for flooring materials. Determine the optimal combination of flooring types that maximizes the variety of options while staying within the budget constraints, and provide step-by-step reasoning.\n"} {"instruction": "A chat. There are 5 cats in a room. Each cat has 4 legs and 2 eyes. How many legs and eyes do all the cats have combined?"} {"instruction": "A chat. A farmer has a rectangular field with a length of 100 meters and a width of 60 meters. He decides to divide the field into two equal parts by building a fence along the diagonal. What is the length of the fence?"} {"instruction": "A chat. In a town, there are 100 people. Among them, 45 people have cats, 60 people have dogs, and 20 people have both cats and dogs. How many people in the town don't have either a cat or a dog?"} {"instruction": "A chat. A train travels from Town A to Town B and then back to Town A. The distance between the two towns is 120 miles. On its way to Town B, the train travels at a speed of 60 mph. On its way back to Town A, the train travels at a speed of 40 mph. What is the average speed of the train for the entire round trip?"} {"instruction": "A chat. In a game, you have a 50% chance of winning $100 and a 50% chance of losing $50. What is your expected value for playing this game?"} {"instruction": "A chat. A jar contains 8 red marbles, 6 blue marbles, and 10 green marbles. If you randomly pick one marble from the jar, what is the probability that it is either red or blue?"} {"instruction": "A chat. In a family of 5, there are two parents and three children. The father is older than the mother. The youngest child is younger than both siblings. Is the oldest child older than the mother?"} {"instruction": "A chat. Two fathers and two sons go fishing. They catch three fish in total. Each person catches one fish. How is this possible?"} {"instruction": "A chat. A car travels at a constant speed of 60 miles per hour. It takes the car 3 hours to travel from City X to City Y. If there is a rest stop exactly halfway between the two cities, how long will it take for the car to reach the rest stop?"} {"instruction": "A chat. A school has 120 students, and each student reads an average of 15 books per year. How many books do the students read in total in a year? Include your logic."} {"instruction": "A chat. If a cone-shaped paper cup has a diameter of 4 inches and a height of 6 inches, what is its volume in cubic inches?"} {"instruction": "A chat. If every cat has 9 lives and each life has 7 years, how old is a cat in its last year of its last life? Show your work."} {"instruction": "A chat. A group of friends went to a restaurant and ordered 4 pizzas. Each pizza was cut into 8 slices. If each person ate 3 slices of pizza, how many people were in the group?"} {"instruction": "A chat. Solve: ((4 + 6)^2 - (3 * 5)) / (9 - 3)"} {"instruction": "A chat. In a game, players can earn points by completing tasks. Each task takes 10 minutes to complete. For every 2 tasks completed, a player earns 15 points. If a player spends 100 minutes playing the game, how many points will they earn?"} {"instruction": "A chat. In a family of five children, the average age of the three oldest children is 10 years, while the average age of the three youngest children is 8 years. What is the age of the middle child?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding 50 new buses over the next five years. Each bus can accommodate up to 60 passengers and will operate for 12 hours a day, with an average of 30 minutes per trip. The city's population is expected to grow at a rate of 2% annually, starting from 1 million residents. Calculate the total number of trips that can be made daily after all buses are added, and estimate the percentage of the population that can be served by this upgraded transportation system in the fifth year. Provide step-by-step reasoning.\n"} {"instruction": "A chat. There are 6 houses in a row. The red house is to the left of the blue house. The green house is two houses away from the red house. The yellow house is between the green and blue houses. The orange house is next to the green house. What color is the first house?"} {"instruction": "A chat. In a group of people, half of them are wearing glasses, one-third are wearing hats, and one-sixth are wearing both glasses and hats. What fraction of the group is wearing either glasses or hats?"} {"instruction": "A chat. A luxury hotel chain plans to open a new resort on a tropical island. The resort will have 200 rooms, each with an ocean view. To maximize guest satisfaction, the hotel aims to maintain an occupancy rate of no more than 90%. Calculate the maximum number of guests that can be accommodated at any given time, considering that each room can house up to 4 guests. Also, estimate the annual revenue if the average room rate is $500 per night and the resort operates year-round. Provide step-by-step reasoning.\n"} {"instruction": "A chat. If a farmer has 5 different types of fruit trees and wants to plant them in a row, how many different arrangements can he make?"} {"instruction": "A chat. A factory produces 1000 widgets per day. Each widget is tested for quality, and 95% pass the test. How many widgets fail the test each day?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 km/h. The distance between the towns is 180 km. Halfway through the journey, the train increases its speed to 90 km/h. What is the average speed of the train for the entire trip?"} {"instruction": "A chat. A rectangular garden has a length that is twice its width. If the perimeter of the garden is 48 meters, what are the dimensions of the garden?"} {"instruction": "A chat. A store sells two types of candies: chocolate bars and lollipops. The ratio of chocolate bars to lollipops sold is 3:7. If the store sells 500 candies in total, how many chocolate bars were sold?"} {"instruction": "A chat. A car travels 100 miles in 2 hours. The first hour, it travels at a speed of 40 miles per hour. What was its speed during the second hour?"} {"instruction": "A chat. In a group of people, 40% have brown eyes, 30% have blue eyes, and the remaining 30% have green eyes. If there are 12 more people with brown eyes than with blue eyes, how many people are in the group?"} {"instruction": "A chat. A factory produces 100 widgets per hour. For every 10 widgets produced, there is a 50% chance that one will be defective. How many non-defective widgets does the factory produce in an 8-hour workday?"} {"instruction": "A chat. A box contains 12 red balls, 18 blue balls, and 20 green balls. If you randomly pick one ball from the box without looking, what is the probability of picking a red or a blue ball?"} {"instruction": "A chat. A man has 53 socks in his drawer. 30 of them are white, and the rest are black. The room is completely dark, and he cannot see anything. What is the minimum number of socks he needs to take out to ensure that he gets a pair of the same color?"} {"instruction": "A chat. How long would it take for light from the Sun to reach Mars at its closest approach to Earth?"} {"instruction": "A chat. If a baker uses 2 eggs to make 3 cupcakes, how many eggs does she need to make 60 cupcakes? Include your logic."} {"instruction": "A chat. In a certain city, there are 20,000 households. The average monthly electricity consumption per household is 350 kWh. If the cost of electricity is $0.12 per kWh, what is the total revenue generated by the electricity provider in this city every month?"} {"instruction": "A chat. Jane bought 3 packs of marbles. Each pack contains 12 marbles. She lost some marbles and now she has 23 marbles. How many marbles did she lose? Show your work."} {"instruction": "A chat. In a town, there are 5 families. Each family has 2 children. The total number of people in the town is 25. How many adults are there in the town?"} {"instruction": "A chat. A train leaves from Station A to Station B at 100 km/h. At the same time, another train leaves from Station B to Station A at 200 km/h. The distance between the two stations is 300 km. How far apart will the trains be when they meet?"} {"instruction": "A chat. In a group of 50 people, 20 like apples, 25 like oranges, and 10 like both apples and oranges. How many people don't like either fruit?"} {"instruction": "A chat. A grocery store chain is analyzing its supply chain to reduce food waste and improve inventory management. The company operates 100 stores, each carrying an average of 10,000 unique products. Based on historical data, they estimate that 5% of perishable items are discarded due to spoilage or expiration. Calculate the total number of wasted items per year and propose strategies for reducing waste through better forecasting and inventory control.\n"} {"instruction": "A chat. If a factory produces 1200 items per day and operates for 20 days each month, how many items will it produce in a year?"} {"instruction": "A chat. A restaurant serves 500 customers per day on average, and 25% of them order dessert. How many desserts are sold in a week if the restaurant is open 7 days a week?"} {"instruction": "A chat. In a family of 5 people, there are 3 fathers and 2 sons. How is this possible?"} {"instruction": "A chat. ((8 - 3)^2 + (9 / 3) * 2) - 5 * 3 + 6 ="} {"instruction": "A chat. In a town, there are 20 houses on one side of the street and 30 houses on the other side. Each house has a dog. If every third house on both sides of the street has a cat as well, how many cats are there in total?"} {"instruction": "A chat. A plane crashes on the border of the United States and Canada. Where do they bury the survivors? Provide step-by-step logic."} {"instruction": "A chat. There are 5 red balls and 7 blue balls in a bag. If you randomly pick one ball, put it back, and then pick another ball, what is the probability of picking two red balls?"} {"instruction": "A chat. It takes 15 minutes to boil a pot of water on the stove. How long will it take to boil three pots of water?"} {"instruction": "A chat. If a factory produces 5000 widgets every 8 hours, how many widgets does it produce in one week?"} {"instruction": "A chat. There are three doors in front of you, and behind one of them is a car. You choose door No.1, but before it is opened, the host who knows what's behind each door opens another door, say No.3, revealing a goat. He then asks you if you want to switch your choice to the remaining unopened door, or stick with your original choice. What should you do to maximize your chances of winning the car?"} {"instruction": "A chat. A bag contains 5 green marbles, 3 blue marbles, and 2 red marbles. What is the probability of drawing a blue marble from the bag at random? Show your work."} {"instruction": "A chat. If you were to travel at a constant speed of 60 miles per hour, how long would it take you to drive around the Earth's equator?"} {"instruction": "A chat. A factory produces 200 units of product A every hour and 300 units of product B every hour. If the factory operates for 8 hours a day, how many total units are produced in one day?"} {"instruction": "A chat. A rectangular garden measures 30 feet by 40 feet. The owner wants to build a walkway around the garden with a uniform width of 2 feet. What will be the area of the walkway?"} {"instruction": "A chat. A group of people contributed a total of $1,000 to a charity. If each person contributed at least $25 and no more than $50, what is the minimum and maximum number of people who could have participated?"} {"instruction": "A chat. A company has 150 employees, with 60% working full-time and the rest working part-time. If the full-time employees work 40 hours per week and the part-time employees work 20 hours per week, what is the total number of hours worked by all employees in one week?"} {"instruction": "A chat. A city is planning to upgrade its public parks by adding new facilities, such as playgrounds, sports courts, and picnic areas. The total budget for this project is $15 million, and the city has identified 20 parks that require upgrades. Calculate the optimal allocation of funds among the parks, considering factors such as park size, visitor numbers, and community needs. Provide step-by-step calculations and explain your reasoning."} {"instruction": "A chat. Calculate the derivative of the function f(x) = 3x^2 + 4x - 5. Explain your reasoning.\n"} {"instruction": "A chat. If you drive at an average speed of 55 miles per hour for 3.5 hours, how far will you have traveled?"} {"instruction": "A chat. A father has three daughters and each daughter has one brother. How many children does the father have in total?"} {"instruction": "A chat. In a town, 60% of the people own a car, and 40% of the people who own a car also own a bicycle. If there are 600 people in the town, how many people own both a car and a bicycle?"} {"instruction": "A chat. A bat and ball cost $1.10 in total. The bat costs $1.00 more than the ball. How much does the ball cost? Please explain your thought process."} {"instruction": "A chat. A construction company is building a new residential complex consisting of 500 apartment units. Each unit will have a combination of hardwood flooring and carpeting. On average, 60% of the floor area in each unit will be covered with hardwood, while the remaining 40% will be carpeted. If the average floor area of each unit is 1,000 square feet, calculate the total amount of hardwood and carpeting materials required for the entire project. Explain your calculations in steps."} {"instruction": "A chat. If a company employs 200 workers, and 70% of them are men, how many women work at the company? Show your work."} {"instruction": "A chat. A train leaves Town A heading towards Town B at 60 mph. At the same time, another train leaves Town B heading towards Town A at 40 mph. If the distance between the towns is 200 miles, how far from Town A do the trains meet?"} {"instruction": "A chat. A factory produces 10,000 units of a product per month. Due to increasing demand, the factory decides to increase its production by 5% each month. How many units will be produced in the third month?"} {"instruction": "A chat. In a group of people, 60% prefer tea over coffee. If there are 120 people in the group, how many more people prefer tea than coffee?"} {"instruction": "A chat. If you were to walk around the Earth's equator, how many steps would it take?"} {"instruction": "A chat. Five people participate in a race. Each person finishes the race at a different time. John finishes before Mary but after Tom. Sarah finishes before Peter but after John. Who finishes first and who finishes last?"} {"instruction": "A chat. A car travels at a constant speed of 60 mph for 4 hours. How many apples does it pass on the way?"} {"instruction": "A chat. In a class of 25 students, there are 10 boys and 15 girls. If 5 students are chosen randomly to form a group, what is the probability that the group consists of exactly 3 boys and 2 girls?"} {"instruction": "A chat. (6 / 2)^2 * (5 - 3) + 4 ="} {"instruction": "A chat. There are 25 students in a class. 10 students have blue eyes, and the rest have brown eyes. What percentage of the class has brown eyes?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes 30 minutes for the train to travel between Town A and Town B. How far apart are the towns?"} {"instruction": "A chat. A city is planning to build a new public park that will include multiple playgrounds, picnic areas, and walking trails. The total area of the park is 200 acres, with 50% dedicated to playgrounds, 30% to picnic areas, and 20% to walking trails. Calculate the total length of walking trails if each trail is 10 feet wide and the average width of the park is 1000 feet. Also, estimate the number of trees needed for shading purposes in the picnic areas, assuming one tree provides shade for every 500 square feet.\n"} {"instruction": "A chat. In a certain code language, if TOWN is coded as WQYR, how will CITY be coded in the same language?"} {"instruction": "A chat. A rectangular garden is surrounded by a walkway of uniform width. The dimensions of the garden are 20 feet by 30 feet, and the area of the walkway is 600 square feet. What is the width of the walkway?"} {"instruction": "A chat. A store sells apples for $1.20 per pound and oranges for $0.80 per pound. If a customer buys 3 pounds of apples and 4 pounds of oranges, what is the total cost?"} {"instruction": "A chat. A factory produces 1000 units of a product every day. The factory operates 5 days a week and closes on weekends. If there is a public holiday in a particular week, how many units does the factory produce that week?"} {"instruction": "A chat. If there are about 7.9 million species on Earth, and roughly 86% of them have not yet been discovered, how many species have been discovered so far?"} {"instruction": "A chat. A company has 120 employees. If 60% of them are male and the rest are female, how many more males would need to be hired for the percentage of males to increase to 75%?"} {"instruction": "A chat. A bacteria population doubles every 3 hours. If there are initially 1000 bacteria, how many bacteria will there be after 24 hours?"} {"instruction": "A chat. A store sells two types of candies: Candy X and Candy Y. In one week, they sell 350 units of Candy X at $1.50 each and 200 units of Candy Y at $2.00 each. What is their total revenue for candy sales in that week?"} {"instruction": "A chat. Four people need to cross a bridge at night which only allows two people to cross at a time. They have one torch and anyone crossing the bridge needs to carry the torch. Person A takes 1 minute to cross, B takes 2 minutes, C takes 5 minutes and D takes 10 minutes. When two people cross, they move at the slower person's pace. What is the fastest time they can all get across? Provide your step-by-step logic."} {"instruction": "A chat. Solve the equation (4x + 6) / 2 = x - 3."} {"instruction": "A chat. A factory produces 1000 widgets per day. Each widget has a 98% chance of being produced without any defects. What is the expected number of defective widgets produced each day?"} {"instruction": "A chat. If a clock strikes once at 1 o'clock, twice at 2 o'clock, thrice at 3 o'clock, and so on, how many times will it strike in 24 hours? Show your work."} {"instruction": "A chat. If you have a cube with a side length of 4 inches, what is the volume of the largest cylinder that can fit inside the cube without any part of the cylinder extending beyond the cube's boundaries?"} {"instruction": "A chat. If a store sells 5 types of fruit and each type has 3 different sizes, how many possible combinations can be made if you want to buy one fruit of each type in any size?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding new bus routes and increasing the frequency of buses on existing routes. The current daily ridership is 100,000 passengers, with an average trip length of 5 miles. The city aims to increase ridership by 20% over the next three years while maintaining a maximum wait time of 10 minutes between buses during peak hours. Calculate the number of additional buses needed, considering each bus has a capacity of 50 passengers and travels at an average speed of 15 mph. Also, factor in the maintenance costs for these additional buses, assuming a cost of $0.25 per mile.\n"} {"instruction": "A chat. A large hotel chain is evaluating its pricing strategy for peak and off-peak seasons. They operate 500 hotels worldwide, with an average of 200 rooms per hotel. The average room rate during peak season is $250 per night, while the off-peak rate is $150 per night. The occupancy rate varies between 90% during peak season and 60% during off-peak times. Calculate the total annual revenue generated by the hotel chain based on these rates and occupancy levels. Propose adjustments to the pricing strategy to maximize revenue and maintain high occupancy rates throughout the year.\n"} {"instruction": "A chat. If a factory produces 500 units per day and operates for 20 days in a month, how many units will it produce in a year?"} {"instruction": "A chat. In a class of 40 students, 25% are left-handed. If there are 8 more right-handed students than left-handed students, how many students are ambidextrous?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 10 feet and a height of 15 feet. How many gallons of water can it hold if one cubic foot contains approximately 7.48 gallons?"} {"instruction": "A chat. A hospital wants to improve its emergency response time by investing in a helicopter ambulance service. The helicopter can travel at an average speed of 150 miles per hour and cover a radius of 75 miles from the hospital. Calculate the area covered by this service and estimate the number of potential patients who could benefit from it, given that the population density within the coverage area is approximately 1,000 people per square mile. Describe your calculations and assumptions.\n"} {"instruction": "A chat. An office building uses 60 light bulbs. Each bulb lasts around 1000 hours before needing replacement. If the lights are on for 10 hours each day, how many days will pass before all the bulbs need replacing? Explain your thought process."} {"instruction": "A chat. Tom has twice as many dimes as nickels, and he has half as many quarters as dimes. If Tom has a total of $5.65, how many quarters does he have?"} {"instruction": "A chat. A bus leaves from station A to station B every 15 minutes. At the same time, another bus leaves from station B to station A every 20 minutes. If both buses travel at the same speed and take 60 minutes to reach their destinations, how long will it take for them to meet after they start traveling?"} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. Every morning, the postman delivers mail to every house that is a multiple of 3 or 5 but not both. How many houses receive mail?"} {"instruction": "A chat. Solve the expression: ((3^2 - 4) * 6 + 8) / 2"} {"instruction": "A chat. It takes a car wash service 20 minutes to clean 3 cars simultaneously. How long will it take to clean 12 cars?"} {"instruction": "A chat. A father is three times older than his son. In 12 years, he will be twice as old as his son. How old are they now?"} {"instruction": "A chat. A car travels at a constant speed from Town A to Town B, which is 120 miles away. The car takes 2 hours to reach Town B. On the way back to Town A, the car's speed is increased by 10 mph. How long does it take for the car to travel back to Town A?"} {"instruction": "A chat. In how many ways can you distribute 15 identical apples among 4 children such that each child gets at least one apple?"} {"instruction": "A chat. In a certain village, there are 100 married couples. If every husband cheats on his wife with exactly one other woman in the village who is not his wife, how many women in the village have been cheated on?"} {"instruction": "A chat. A man buys a shirt for $60 and sells it for $80. He then buys another shirt for $80 and sells it for $100. What is his overall profit or loss?"} {"instruction": "A chat. A triangle has side lengths of 8 inches, 15 inches, and 17 inches. What is its area?"} {"instruction": "A chat. If a clock gains 5 minutes every hour, how much time will it gain over a period of one day? Show your work."} {"instruction": "A chat. Calculate the limit as x approaches infinity of (e^x)/(x^2)"} {"instruction": "A chat. There are 25 students in a class. Each student has a different number of pencils, ranging from 1 pencil to 25 pencils. If the teacher takes away 1 pencil from each student, how many students will have an odd number of pencils?"} {"instruction": "A chat. A real estate developer is planning to build a residential complex consisting of 10 apartment buildings, each with 20 floors and 4 units per floor. The construction cost per unit is $100,000, and the developer expects to sell each unit for an average price of $200,000. Calculate the total profit from this project, and determine if there are any potential savings by reducing construction costs or increasing the number of units per floor. Explain your reasoning.\n"} {"instruction": "A chat. A rectangular garden measures 20 meters by 15 meters. What is the area of the garden in square feet? (1 meter = 3.28084 feet)"} {"instruction": "A chat. A rectangular garden has a length of 25 meters and a width of 15 meters. What is the area of the garden, and what would be the length of one side if it were converted to a square with the same area?"} {"instruction": "A chat. In a certain city, there are 150,000 registered vehicles. Out of these, 65% are cars, and the rest are motorcycles. If the city decides to impose a new tax on all motorcycles at a rate of $50 per motorcycle, how much revenue will be generated from this tax?"} {"instruction": "A chat. There are 50 students in a class. The teacher gave them a test with a maximum score of 100 points. If the average score of the class was 75 points, what is the sum of all the scores of the students?"} {"instruction": "A chat. A factory produces 500 units of product A per day and sells it for $10 per unit. They also produce 300 units of product B per day and sell it for $15 per unit. How much revenue does the factory generate in a 30-day month?"} {"instruction": "A chat. In a certain city, there are 100,000 people. Among these people, 60% own cars, and among car owners, 40% have electric cars. How many people in this city own electric cars?"} {"instruction": "A chat. There are 20 apples in a basket. You take away 5 apples but put back 3 apples. How many apples do you have?"} {"instruction": "A chat. A city is planning to construct a new public park with various amenities, including playgrounds, sports courts, and picnic areas. The total area of the park is 10 acres, and the city has allocated $2 million for its construction. Calculate the cost per square foot for each amenity type if the allocation for playgrounds is 30% of the budget, sports courts take up 40%, and picnic areas use the remaining 30%. Also, determine how much space should be allocated for each amenity based on their respective budgets and average construction costs per square foot.\n"} {"instruction": "A chat. A man buys a pair of shoes at $60 and sells them at a profit equal to half their cost price. What is the selling price of the shoes?"} {"instruction": "A chat. If a classroom has 25 students and each student shakes hands with every other student exactly once, how many handshakes occur? Use logical reasoning."} {"instruction": "A chat. Three friends decide to split the cost of a $60 meal evenly. However, they realize they only have two $20 bills and three $10 bills. How much more money do they need to pay for the meal?"} {"instruction": "A chat. A train travels from Town A to Town B at an average speed of 80 km/h and then returns to Town A at an average speed of 100 km/h. If the total travel time is 9 hours, how far apart are Town A and Town B?"} {"instruction": "A chat. In a bag, there are 12 marbles - 3 red, 4 green, and 5 blue. If you pick 3 marbles at random without replacement, what is the probability that you pick one marble of each color?"} {"instruction": "A chat. In a game, there are 4 players: Anna, Ben, Chris, and Dana. They each have a different number of points: 1 point, 2 points, 3 points, or 4 points. We know the following facts:\n1. Anna has more points than Ben.\n2. Chris has fewer points than Dana.\n3. The sum of Anna's and Ben's points is equal to the sum of Chris's and Dana's points.\nCan you determine how many points each player has?"} {"instruction": "A chat. In a room, there are 10 people, including John and Jane. If each person shakes hands with every other person exactly once, how many handshakes occur in total? How many handshakes does John have?"} {"instruction": "A chat. You flip a coin 3 times. What are the chances of getting heads all three times? Explain your solution."} {"instruction": "A chat. A box contains 15 chocolates. Some are white chocolate and some are dark chocolate. If the probability of picking a white chocolate at random is 2/3, how many white chocolates are there in the box? Show your work."} {"instruction": "A chat. Solve: ((4^2 - 9) / 7) + 6 * (3 - 1)^2 ="} {"instruction": "A chat. A snail climbs up a 12ft wall. Every day the snail climbs up 3 feet and slips down 2 feet. How many days will it take for the snail to get to the top of the wall? Show your work."} {"instruction": "A chat. A snail climbs up a wall during the day and slides down at night. Each day, the snail climbs 5 inches up the wall and slides back down 2 inches at night. If the wall is 20 inches tall, how many days does it take for the snail to reach the top of the wall?"} {"instruction": "A chat. A city is planning to build a new sports complex that includes a soccer field, basketball courts, and a swimming pool. The total budget for the project is $2 million. The construction cost breakdown is as follows: $800,000 for the soccer field, $600,000 for the basketball courts, and $400,000 for the swimming pool. Additionally, the city needs to allocate funds for landscaping, parking lots, and other amenities, which will account for 10% of the remaining budget. Calculate the amount allocated for these additional features and provide a step-by-step reasoning.\n"} {"instruction": "A chat. In a family of 5 siblings, each sibling has a different age. The youngest is 8 years old. The second youngest is twice as old as the youngest. The middle sibling is 3 years older than the second youngest. The second oldest is 4 years younger than the oldest sibling, who is 5 years older than the middle sibling. How old is the oldest sibling?"} {"instruction": "A chat. If a company produces 500 units of product A and 300 units of product B in one week, how many more units of product A must be produced in the next week to have twice as many units of product A as product B?"} {"instruction": "A chat. In a classroom, there are 20 students. Each student has exactly 3 pencils. If each pencil costs $0.50, how much did all the pencils in the classroom cost?"} {"instruction": "A chat. If a farmer has 25 acres of land and wants to plant apple trees, with each tree requiring an area of 100 square feet, how many trees can the farmer plant on his land?"} {"instruction": "A chat. Calculate the area of a triangle with base 12 cm and height 8 cm."} {"instruction": "A chat. A cone-shaped paper cup has a diameter of 6 inches at the top and a height of 9 inches. If the cup is filled to the brim with water, how many fluid ounces of water does it hold? (1 cubic inch \u2248 0.554 fluid ounces)"} {"instruction": "A chat. If you have 50 marbles and trade 10 for rocks, how many apples do you have?"} {"instruction": "A chat. If you had a stack of $100 bills that was 1 meter tall, how much money would be in the stack?"} {"instruction": "A chat. In a class of 40 students, 16 are boys and the rest are girls. What is the ratio of boys to girls in the class?"} {"instruction": "A chat. A father and his son both celebrate their birthdays on the same day. Today, the father's age is exactly twice the son's age. In 10 years, the father will be only 1.5 times older than the son. How old are they today?"} {"instruction": "A chat. A factory produces 500 units of a product per day. Each unit is inspected by three different inspectors. If each inspector finds defects in 5% of the units they inspect, what is the probability that a randomly chosen unit will have no defects found by any of the inspectors?"} {"instruction": "A chat. A farmer has 15 sheep, and all but 8 die. How many are left?"} {"instruction": "A chat. There are 10 people on a deserted island. They find a box with 20 pairs of shoes inside. All the shoes are different sizes, but none of the shoes fit any of the people on the island. What is the maximum number of people who could wear the shoes?"} {"instruction": "A chat. There are 4 boxes, each containing a different number of balls. Box A has more balls than box B, and box C has fewer balls than box D. If we combine the balls from box A and box C, there will be more balls than if we combine the balls from box B and box D. Which box has the most balls?"} {"instruction": "A chat. Evaluate the expression (6 * 5^2 - 10) / 2."} {"instruction": "A chat. A large corporation plans to host a three-day conference for its employees at a resort. There are 1,500 employees attending, and the resort charges $250 per person per night for accommodations and meals. Additionally, the company needs to rent conference rooms and audio-visual equipment, which costs $25,000 per day. Calculate the total cost of hosting the conference, including a 7% tax on all expenses.\n"} {"instruction": "A chat. If a family consumes 3 kg of rice in a week, how much rice would they consume in a year? Show your work."} {"instruction": "A chat. A box contains 4 red balls, 6 blue balls, and 10 green balls. If you randomly pick one ball from the box without looking, what is the probability that it will be either a red or a blue ball?"} {"instruction": "A chat. A box contains 12 apples and 8 oranges. If you randomly pick a fruit from the box without looking, what is the probability that it will be an apple? After picking one apple, what is the probability that the next fruit picked will also be an apple?"} {"instruction": "A chat. A rectangular room has a length of 10 meters and a width of 6 meters. If you start at one corner of the room and walk along the perimeter until you reach the opposite corner, how far will you have walked?"} {"instruction": "A chat. A factory produces two types of products: Product A and Product B. On Monday, the factory produced twice as many units of Product A as it did of Product B. On Tuesday, the factory produced three times as many units of Product B as it did of Product A. If the factory produced a total of 500 units on Monday and 600 units on Tuesday, how many units of Product A were produced on Tuesday?"} {"instruction": "A chat. Find the area enclosed by the polar curve r = 2sin(\u03b8)."} {"instruction": "A chat. There are 12 socks in a drawer: 4 red, 4 blue, and 4 green. If you randomly pick two socks without looking, what is the probability that they will be a matching pair?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 mph. It takes a 30-minute break in Town C, which is halfway between Town A and Town B. The total travel time, including the break, is 3 hours. What is the distance between Town A and Town B?"} {"instruction": "A chat. In a group of people, 60% have brown eyes, 40% have blue eyes, and 10% have green eyes. If there are 20 people with green eyes, how many people are in the group?"} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" All labels are incorrect. You can only take out one fruit from one box without looking inside. How do you figure out what is in each box?"} {"instruction": "A chat. If a car factory produces 120 cars per day and operates for 300 days in a year, how many cars will it produce in 5 years?"} {"instruction": "A chat. In a certain country, cars are required to have license plates with three letters followed by three numbers. The first letter must be either A or B, and no number can be repeated within the same plate. How many different license plates can be created under these rules?"} {"instruction": "A chat. A rectangular garden is 12 meters long and 8 meters wide. If you want to build a fence around it with an additional 1-meter buffer on all sides, what will be the length and width of the fenced area?"} {"instruction": "A chat. How many miles would a person walk in one month if they walked 5 miles every day?"} {"instruction": "A chat. Evaluate the integral \u222b(e^(-x^2)) dx from -\u221e to \u221e."} {"instruction": "A chat. If a bee visits 20 flowers in a minute, how many flowers will it visit in half an hour? Show your calculation."} {"instruction": "A chat. In a town, 1/3 of the people own cats, 1/4 own dogs, and 1/6 own both cats and dogs. What fraction of the town's population owns neither cats nor dogs?"} {"instruction": "A chat. A farmer has a rectangular field that is 300 meters long and 200 meters wide. He wants to plant trees around the perimeter of the field, with each tree spaced 10 meters apart. How many trees does he need?"} {"instruction": "A chat. A train leaves Station A at 6:00 PM and arrives at Station B at 10:00 PM. Another train leaves Station B at 7:00 PM and arrives at Station A at 11:00 PM. At what time do the trains cross each other?"} {"instruction": "A chat. In a town, there are 20 houses on one side of the street and 30 houses on the other side. If every house has an even number of occupants, does this mean that there is an even total number of people living in all the houses combined?"} {"instruction": "A chat. A bag contains 6 red balls, 4 blue balls, and 5 green balls. If you draw two balls at random without replacement, what is the probability of drawing one red ball and one blue ball?"} {"instruction": "A chat. ((8 - 4)^2 / 2) - 5 * 3 + 1 ="} {"instruction": "A chat. In a class of 30 students, 40% received an A grade, 30% received a B grade, and the rest received a C grade. How many more students received an A or B grade than those who received a C grade?"} {"instruction": "A chat. Determine the volume of a cylinder with a radius of 4 inches and a height of 10 inches, providing step-by-step reasoning.\n"} {"instruction": "A chat. Find the shortest distance between the point (1, 2, 3) and the plane defined by the equation x + y + z = 6."} {"instruction": "A chat. Solve the differential equation dy/dx = 2y."} {"instruction": "A chat. If there are 10,000 species of birds in the world and each species has an average of 2 million individuals, how many individual birds would there be in total? Explain your reasoning."} {"instruction": "A chat. A rectangular garden has a length of 15 meters and a width of 8 meters. What is the area of the garden, and what would be its new area if both dimensions were increased by 3 meters each?"} {"instruction": "A chat. A square has an area of 64 square units. If you cut the square into four equal smaller squares, what is the perimeter of one of the smaller squares?"} {"instruction": "A chat. If a company produces 1500 units of a product per day and sells each unit for $25, how much revenue will the company generate in one year if it operates 365 days a year?"} {"instruction": "A chat. A theme park is planning to introduce a new roller coaster ride with a capacity of 30 passengers per cycle. The ride lasts for 3 minutes, followed by a 2-minute loading/unloading period. Calculate the maximum number of passengers the ride can accommodate per hour, assuming continuous operation during park hours (10 am to 10 pm). Also, estimate the potential revenue generated by this ride, given an average ticket price of $5 per passenger.\n"} {"instruction": "A chat. If there are 60 seconds in a minute, how many seconds are there in a day? Show your reasoning."} {"instruction": "A chat. A factory produces 500 units of a product per day. Due to increasing demand, they decide to increase production by 10% each week. How many units will they produce on the last day of the third week?"} {"instruction": "A chat. A sequence is defined by the recursive formula a_n = a_(n-1) + n for n > 1 and a_1 = 3. What is the value of a_5?"} {"instruction": "A chat. There are 100 birds on a tree. A hunter shoots and kills 10 of them. How many birds are left on the tree?"} {"instruction": "A chat. A factory produces widgets at a rate of 100 widgets per hour. Due to a malfunction, every 10th widget produced is defective. How many non-defective widgets will be produced in an 8-hour workday?"} {"instruction": "A chat. A large hotel chain wants to optimize its pricing strategy during peak travel seasons. The chain operates 500 hotels worldwide, with an average of 200 rooms per hotel and an average nightly room rate of $150. During peak season, occupancy rates can reach up to 95%. Develop a dynamic pricing model that maximizes revenue while maintaining customer satisfaction, taking into account factors such as booking lead time, length of stay, and competitor pricing.\n"} {"instruction": "A chat. A sequence of numbers follows the rule that each term after the first is twice the previous term. If the first term is 3, what is the sum of the first five terms?"} {"instruction": "A chat. A factory produces 500 units of a product every day. Due to an increase in demand, they decide to increase their daily production by 10%. How many units will they produce after this increase?"} {"instruction": "A chat. A factory produces widgets at a rate of 10 per hour. If the factory operates for 8 hours a day, 5 days a week, how long will it take to produce 2000 widgets?"} {"instruction": "A chat. A bag contains 6 red balls and 4 blue balls. If you randomly pick one ball from the bag, then put it back and randomly pick another ball, what is the probability of picking a red ball both times?"} {"instruction": "A chat. A company has 200 employees, consisting of 120 full-time employees and 80 part-time employees. The average salary for a full-time employee is $45,000 per year, while the average salary for a part-time employee is $25,000 per year. What is the average salary for all employees in the company?"} {"instruction": "A chat. It takes 2 hours to watch a movie at the theater. How long will it take to watch 4 movies back-to-back?"} {"instruction": "A chat. A company sells two types of products - Product A and Product B. The profit margin on Product A is 30% while the profit margin on Product B is 50%. If the company sells 100 units of Product A at $200 each and 50 units of Product B at $300 each, what is the total profit made by the company?"} {"instruction": "A chat. A group of people consists of engineers, doctors, and teachers. The ratio of engineers to doctors is 4:3, and the ratio of doctors to teachers is 5:6. What is the ratio of engineers to teachers?"} {"instruction": "A chat. A rectangular room has a length of 20 feet and a width of 14 feet. What is the area of the room in square feet?"} {"instruction": "A chat. There are 50 coins on a table, 10 of them are heads up, and the rest are tails up. You have to divide these coins into two piles in such a way that both piles have an equal number of heads-up coins. However, you are blindfolded and cannot see or feel which side is facing up. How can you accomplish this task?"} {"instruction": "A chat. A hospital is planning to upgrade its emergency department to improve patient care. Currently, the department has 20 beds and serves an average of 100 patients per day. To reduce wait times and accommodate future growth, the hospital aims to serve 150 patients daily. Calculate the number of additional beds required to meet this goal, assuming that each bed can serve one patient at a time and the average length of stay in the emergency department remains constant.\n"} {"instruction": "A chat. A factory produces 5000 widgets per day. If there are 20 working days in a month, how many widgets does the factory produce in a year (assuming 12 months)?"} {"instruction": "A chat. A city is planning to build a network of bicycle lanes to encourage alternative transportation options. The proposed network will cover 150 miles of streets, with a construction budget of $15 million. Calculate the average cost per mile for building the bike lanes and determine how many intersections will require upgrades to accommodate the new infrastructure, assuming that there are four intersections per mile on average. Provide step-by-step reasoning."} {"instruction": "A chat. A large retail company wants to optimize its distribution network by analyzing the number of warehouses, their locations, and transportation costs. The company currently has 10 warehouses across the country, each serving a specific region. Each warehouse has an annual operating cost of $1 million, and transportation costs are calculated based on the distance between the warehouse and the stores it serves. Determine the optimal number and location of warehouses needed to minimize overall operating and transportation costs while maintaining efficient delivery times. Explain your reasoning.\n"} {"instruction": "A chat. The probability of rain on any given day is 40%. What is the probability that it will rain on exactly 2 days out of the next 3 days?"} {"instruction": "A chat. A large hotel chain plans to build a new resort with 500 rooms. Each room will have either one king-size bed or two queen-size beds. The hotel management wants to ensure that at least 60% of the rooms have two queen-size beds. Calculate the minimum number of rooms with two queen-size beds and the maximum number of rooms with one king-size bed. Also, estimate the total cost of furnishing all the rooms, given that a king-size bed costs $1,000 and a queen-size bed costs $800.\n"} {"instruction": "A chat. An amusem*nt park wants to calculate the revenue generated by its most popular roller coaster during peak season. The roller coaster has a capacity of 24 passengers per ride and operates continuously from 10 am to 8 pm daily. Each ride lasts approximately 3 minutes, including loading and unloading time. Tickets for the roller coaster cost $10 per person. Calculate the maximum daily revenue that can be generated by this attraction during peak season, providing step-by-step reasoning."} {"instruction": "A chat. A factory produces 500 units of product A in 8 hours. If the factory increases its production rate by 25%, how many units will it produce in 10 hours?"} {"instruction": "A chat. If a person drinks an average of 3 liters of water per day, how many gallons of water do they drink in a month (assuming 30 days)?"} {"instruction": "A chat. A group of people are planning a road trip and will be driving a total distance of 1200 miles. The car they will use has a fuel efficiency of 30 miles per gallon. If gas costs $3.50 per gallon, how much will they spend on gas for the entire trip?"} {"instruction": "A chat. Calculate the probability of drawing two red cards from a standard deck of playing cards without replacement."} {"instruction": "A chat. A store sells apples in bags of 5 or 7. What is the largest number of apples that cannot be bought exactly using a combination of these bag sizes?"} {"instruction": "A chat. An international shipping company is expanding its operations by opening a new warehouse facility. The warehouse will have a storage capacity of 1 million cubic feet and will handle packages of various sizes, with an average package size of 0.5 cubic feet. The company expects to process 10,000 packages per day at the new facility. Calculate the number of employees needed to manage the daily operations, given that each employee can handle 250 packages per day, and there should be a buffer of 20% extra workforce to account for absences and unexpected surges in demand.\n"} {"instruction": "A chat. Four friends decide to order pizza. Each person can choose between three different toppings: pepperoni, mushrooms, or olives. If each friend must choose a topping and they don't have to pick the same one, how many possible combinations of toppings can the friends choose?"} {"instruction": "A chat. In a village, there are 20 houses. Each house has a dog that barks only when it sees a stranger in the village. One day, all dogs start barking at once. How many strangers entered the village?"} {"instruction": "A chat. In a class of 40 students, 60% are female. How many male students are there in the class?"} {"instruction": "A chat. A person invests $10,000 in a savings account with an annual interest rate of 2%. How much money will they have in the account after 5 years if the interest is compounded annually?"} {"instruction": "A chat. In a class of 30 students, 60% are boys. If there are 10 more girls joining the class, what will be the new percentage of boys in the class?"} {"instruction": "A chat. Calculate the derivative of f(x) = 3x^3 - 6x^2 + 2x - 8"} {"instruction": "A chat. A factory produces widgets in batches of 100. The probability that a widget is defective is 0.02. What is the expected number of defective widgets in each batch?"} {"instruction": "A chat. A box contains 5 apples, 7 oranges, and 4 pears. You take out two fruits at random without replacement. What is the probability that you get one apple and one orange?"} {"instruction": "A chat. If a car travels 180 miles on a full tank of gas and has a fuel efficiency of 30 miles per gallon, how many gallons of gas are needed to fill up the tank?"} {"instruction": "A chat. If a square has an area of 144 square units, what is the length of its diagonal?"} {"instruction": "A chat. A factory produces 250 units of product A every hour. The factory operates 16 hours a day, 5 days a week. How many units of product A are produced in 4 weeks?"} {"instruction": "A chat. Three friends decide to share a pizza equally. They cut the pizza into 8 equal slices. After they finish eating, they realize that one slice was left uneaten. What fraction of the pizza did each friend eat?"} {"instruction": "A chat. Use the Pythagorean theorem to find the length of the hypotenuse of a right-angled triangle with legs measuring 5 cm and 12 cm, explaining each step.\n"} {"instruction": "A chat. How long would it take for a car traveling at 60 miles per hour to drive around the Earth's equator?"} {"instruction": "A chat. A cube has 8 vertices, 12 edges, and 6 faces. If you paint each face of the cube with a different color, how many distinct cubes can be created?"} {"instruction": "A chat. In a certain city, there are 5 million people. The local government wants to plant one tree for every 20 residents. How many trees should they plant?"} {"instruction": "A chat. In a small town, there are 3 barbershops. The first one is always full, the second one has some customers, and the third one is always empty. If you were to choose a barbershop for a haircut, which one should you pick?"} {"instruction": "A chat. A box contains red balls and blue balls. The probability of picking a red ball from the box is 2/3. If there are 18 blue balls in the box, how many red balls are there?"} {"instruction": "A chat. There are 25 horses in a race. You can race five horses at a time, but you don't have a timer. What is the minimum number of races needed to find the fastest horse?"} {"instruction": "A chat. You have a bag with 20 red balls and 30 blue balls. If you randomly draw one ball from the bag, what is the probability that it is red? Show your work."} {"instruction": "A chat. A telecommunications company plans to install additional cell towers to improve its network coverage. The company currently has 5,000 cell towers, each covering an area of 10 square miles. The goal is to increase the total coverage area by 20% within two years. Calculate the number of additional cell towers required and the estimated cost of this project, considering each cell tower costs $150,000 to install and has an annual maintenance cost of $10,000."} {"instruction": "A chat. A car rental company has a fleet of 50 cars, consisting of 30 compact cars and 20 full-size cars. If they rent out 10 cars at random, what is the probability that exactly 7 of them will be compact cars?"} {"instruction": "A chat. In a school with 800 students, 65% of them participate in at least one extracurricular activity. If 40% of those participating students are involved in sports, how many students are not involved in sports?"} {"instruction": "A chat. In a class of 40 students, there are 12 girls and the rest are boys. If half of the girls have brown hair and one-third of the boys have brown hair, how many students in total have brown hair?"} {"instruction": "A chat. A factory produces 1000 units of product A per day and 500 units of product B per day. If each unit of product A weighs 2 pounds and each unit of product B weighs 3 pounds, how many pounds of products does the factory produce in a day?"} {"instruction": "A chat. In a school with 1200 students, 60% of them play at least one sport. If 30% of the students who play sports participate in more than one sport, how many students only participate in one sport?"} {"instruction": "A chat. Five people participated in a gift exchange. Each person brought one gift and left with one gift. How many gifts were exchanged in total?"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B every hour. How many units of both products will be produced in a month with 30 days if the factory operates for 16 hours per day?"} {"instruction": "A chat. If a dog has 4 legs and I have 3 cats, how many birds do I have?"} {"instruction": "A chat. A store sells two types of candy bars - type X and type Y. The price of one candy bar of type X is $1.50, while the price of one candy bar of type Y is $2.00. If a customer buys a total of 20 candy bars for $35.00, how many of each type did they buy?"} {"instruction": "A chat. In a class of 30 students, 14 play soccer, 17 play basketball, and 6 don't play any sports. How many students play both soccer and basketball?"} {"instruction": "A chat. In a small town, there are 5 barbers. Each barber claims that they only shave those who do not shave themselves. So, who shaves the barbers?"} {"instruction": "A chat. A store offers a discount on a product such that the final price is 75% of the original price. If the discounted price of the product is $45, what was the original price?"} {"instruction": "A chat. A triangle has sides of length 5 cm, 7 cm, and 9 cm. What is the area of the triangle?"} {"instruction": "A chat. A cruise line is designing a new ship with a focus on maximizing passenger satisfaction while maintaining profitability. The ship will have a maximum capacity of 3,000 passengers and offer various amenities such as restaurants, pools, and entertainment venues. Develop a layout plan for the ship that optimizes space usage and passenger flow, considering factors such as noise levels, accessibility, and views from cabins and public areas.\n"} {"instruction": "A chat. A train leaves Station A heading towards Station B, which is 300 miles away. At the same time, another train leaves Station B heading towards Station A. Train A travels at a speed of 60 mph, while Train B travels at a speed of 40 mph. When will the two trains meet each other?"} {"instruction": "A chat. A bus has 45 seats. There are currently 30 passengers on board. At the next stop, half of the passengers get off the bus, and then 15 new passengers get on. How many empty seats are there now on the bus?"} {"instruction": "A chat. There are 100 people in a room. 60% of them are wearing glasses, and 40% of those wearing glasses also have brown hair. What percentage of the people in the room have both glasses and brown hair?"} {"instruction": "A chat. In a school election, candidate A received 60% of the votes, while candidate B received the remaining 40%. If candidate A won by 120 votes, what was the total number of votes cast in the election?"} {"instruction": "A chat. Calculate the area of a triangle with base 12 cm and height 15 cm, providing step-by-step reasoning.\n"} {"instruction": "A chat. A train leaves from Station A to Station B at 60 mph. At the same time, another train leaves from Station B to Station A at 90 mph. If the distance between the stations is 300 miles, how long will it take for the trains to meet?"} {"instruction": "A chat. A factory produces widgets in batches of 1000. In each batch, there are 10 defective widgets. If you randomly select one widget from a batch, what is the probability that it is not defective? If you then pick another widget without replacing the first one, what is the probability that this second widget is also not defective?"} {"instruction": "A chat. Jack has twice as many apples as Jill. If Jill has 10 apples, how many apples does Jack have? Provide your reasoning."} {"instruction": "A chat. If a company produces 1500 units of a product per day and sells them for $20 each, how much revenue will they generate in a month with 30 days?"} {"instruction": "A chat. If a company spends $8,000 on advertising and generates an additional revenue of $50,000 from the campaign, what is the return on investment (ROI) percentage?"} {"instruction": "A chat. A train leaves Town A at 6:00 AM and travels at an average speed of 60 mph towards Town B. Another train leaves Town B at 8:00 AM and travels at an average speed of 80 mph towards Town A. The distance between Town A and Town B is 480 miles. At what time will the two trains meet?"} {"instruction": "A chat. A car travels 100 miles on a full tank of gas. If the car has used 3/4 of its gas, how many more miles can it travel before running out of gas?"} {"instruction": "A chat. A company has 100 employees, and 70% of them are full-time while the rest are part-time. If the full-time employees work 40 hours per week and part-time employees work 20 hours per week, what is the total number of hours worked by all employees in a week?"} {"instruction": "A chat. A construction company is bidding on a project to build a large shopping mall. The project requires 500,000 square feet of retail space, 200,000 square feet of parking, and various amenities such as restrooms, food courts, and landscaping. The company needs to estimate the total cost of materials, labor, and equipment needed for the project based on current market prices and industry standards. Develop a detailed cost breakdown and timeline for completing the project.\n"} {"instruction": "A chat. A rectangular garden has a length of 15 meters and a width of 8 meters. What is the area of the garden, and what would be its new area if the length was increased by 50% and the width decreased by 25%?"} {"instruction": "A chat. If a cylindrical water tank has a diameter of 6 feet and a height of 8 feet, how many gallons of water can it hold? (Note: 1 cubic foot \u2248 7.48 gallons)"} {"instruction": "A chat. In a small town, there are 3 barbers. The first barber has a good haircut, the second barber has a bad haircut, and the third barber has an average haircut. If you want to get the best possible haircut, which barber should you go to?"} {"instruction": "A chat. A construction company has been contracted to build a bridge across a river. The bridge will be 1 mile long and consist of 100 identical segments. Each segment takes 5 days to complete and requires 10 workers. However, due to limited space, only two segments can be worked on simultaneously. Calculate the total number of days required to complete the bridge and the total number of workers needed. Provide step-by-step reasoning for your calculations.\n"} {"instruction": "A chat. In a village, there are 50 houses. Each house has at least one pet dog or cat. If the total number of dogs is 30 and the total number of cats is 40, how many houses have both a dog and a cat?"} {"instruction": "A chat. The Earth orbits the Sun at an average distance of about 93 million miles. How many times would you have to travel around the Earth's equator to cover the same distance? (The Earth's circumference is approximately 24,901 miles.)"} {"instruction": "A chat. A box contains 12 red balls and 18 blue balls. You randomly pick two balls from the box without replacement. What is the probability that both balls are red?"} {"instruction": "A chat. If y = ln(x), find dy/dx."} {"instruction": "A chat. There are two boxes, A and B. Box A contains 8 red balls and 4 green balls, while box B contains 5 red balls and 7 green balls. If you were to pick one ball at random from each box, what is the probability that both balls would be the same color? Provide your logic."} {"instruction": "A chat. A man has bee hives. Each hive houses 50 bees. Each bee can produce 1 teaspoon of honey a day. How many teaspoons of honey does the man get if he has 3 hives?"} {"instruction": "A chat. If a certain disease affects 1 in every 10,000 people in a city of 2 million, how many people are expected to be affected by the disease? Explain your reasoning."} {"instruction": "A chat. If a sequence is defined by the recursive formula an = 3an-1 - 2, and a1 = 5, what is the value of a6?"} {"instruction": "A chat. A store sells two types of candies: type X at $2 per piece and type Y at $3 per piece. If a customer buys a total of 20 candies and spends $50, how many candies of each type did they buy?"} {"instruction": "A chat. A shipping company wants to optimize its cargo transportation routes between several major ports. The company has a fleet of 20 vessels, each with a capacity of 2,000 twenty-foot equivalent units (TEUs). Analyze the most efficient route combinations to maximize cargo volume while minimizing fuel consumption and transit times. Consider factors such as distance, port fees, and seasonal weather patterns when determining the optimal routes."} {"instruction": "A chat. If a company sells 100 items at $50 each and offers a 10% discount on the total price for purchases over $2,500, how much revenue will they generate if all items are sold?"} {"instruction": "A chat. A store offers a discount on a pair of shoes that originally cost $120. After applying two successive discounts of 20% and 15%, what is the final price of the shoes?"} {"instruction": "A chat. In a box of chocolates, there are 6 dark chocolates and 8 milk chocolates. If you randomly pick two chocolates at once without looking, what is the probability that both chocolates are dark?"} {"instruction": "A chat. If a train travels at an average speed of 80 kilometers per hour and takes 3 hours to reach its destination, how long would it take for the same train to travel the same distance if its average speed was increased to 100 kilometers per hour?"} {"instruction": "A chat. A store offers a discount on bulk purchases of a certain item. If you buy 5 or more items, you get a 20% discount on your purchase. How much would it cost to buy 7 items if the regular price of each item is $25?"} {"instruction": "A chat. How many seconds are there in one day?"} {"instruction": "A chat. There are 12 apples on a table. You took away 5 and then put back 3. How many apples do you have?"} {"instruction": "A chat. A cone-shaped paper cup has a diameter of 6 centimeters and a height of 10 centimeters. What is the volume of the cup in cubic centimeters?"} {"instruction": "A chat. A group of people were asked if they preferred tea or coffee. 60% said they preferred tea, while the rest preferred coffee. If 75% of those who preferred tea also liked biscuits, what percentage of the total group likes both tea and biscuits?"} {"instruction": "A chat. In a certain city, it is estimated that 60% of households have at least one pet. If there are 50,000 households in the city, how many pets would you expect to find if the average number of pets per household with pets is 1.5?"} {"instruction": "A chat. A company has three factories that produce the same product. Factory A produces 20% more than factory B, and factory C produces 30% less than factory A. If factory B produces 1000 units per day, how many units does each factory produce daily?"} {"instruction": "A chat. A factory produces 500 units of a product per day. How many units will it produce in a year, assuming it operates for 365 days?"} {"instruction": "A chat. Given a sample of 30 observations with a mean of 65 and a standard deviation of 8, test the hypothesis that the population mean is 60 at a 5% level of significance. Explain your calculations.\n"} {"instruction": "A chat. If a car factory produces 20 cars every hour, how many cars does it produce in a week? Include all calculations."} {"instruction": "A chat. A box contains 10 white balls, 20 black balls, and 30 green balls. If you randomly pick one ball at a time without replacement, what is the minimum number of balls you must draw to guarantee getting at least one ball of each color?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 12 feet and a height of 15 feet. How many gallons of water can it hold when filled to capacity? (Note: 1 cubic foot = 7.48 gallons)"} {"instruction": "A chat. A rectangular garden measures 15 meters by 20 meters. What is the area of this garden in square meters?"} {"instruction": "A chat. An international shipping company is looking to optimize its cargo transport operations. They have two types of ships: Type A can carry 10,000 tons of cargo, while Type B can carry 15,000 tons. The company has ten Type A ships and five Type B ships. To minimize fuel consumption and operational costs, they want to use the fewest possible number of ships to transport 100,000 tons of cargo. Determine the optimal combination of ships to be used and provide your reasoning.\n"} {"instruction": "A chat. A construction company is building a residential complex consisting of 100 apartments spread across five buildings. Each apartment has an average size of 1,500 square feet, and the construction cost per square foot is $150. The company also needs to allocate 10% of the total land area for parking spaces, which cost $5,000 per space. Calculate the total construction cost for the residential complex, including parking spaces, and provide step-by-step reasoning.\n"} {"instruction": "A chat. An ice cream shop sells 150 cones in a day. Chocolate flavor makes up 40% of their sales. How many chocolate ice cream cones do they sell in a day? Explain your thought process."} {"instruction": "A chat. A store sells apples and oranges. The ratio of apples to oranges sold is 3:2. If the store sells 750 fruits in total, how many apples and oranges were sold?"} {"instruction": "A chat. Calculate the volume of a cylinder with a radius of 4 cm and a height of 10 cm, showing each step in your calculation.\n"} {"instruction": "A chat. A car rental company charges $20 per day for renting a car plus an additional $0.15 per mile driven. If John rents a car and drives it for 100 miles, what will be his total cost?"} {"instruction": "A chat. There are 100 people in a room. 60% of them are wearing glasses, and 40% of those wearing glasses also have brown hair. How many people with brown hair are not wearing glasses?"} {"instruction": "A chat. In a class of 30 students, 60% received an A grade, 30% received a B grade, and the remaining students received a C grade. How many more students received an A than a C?"} {"instruction": "A chat. A man buys a car for $20,000. Each year, the value of the car decreases by 15%. After how many years will the car be worth less than half its original price?"} {"instruction": "A chat. A store sells apples for $2 per pound and oranges for $3 per pound. If a customer buys a total of 8 pounds of fruit and spends $20, how many pounds of each type of fruit did they buy?"} {"instruction": "A chat. There are 15 people in a room. If everyone shakes hands with every other person exactly once, how many handshakes take place?"} {"instruction": "A chat. If a car rental company has 150 cars, and 60% of them are rented out on Monday, how many more cars need to be rented out for the company to reach an 80% rental rate?"} {"instruction": "A chat. If a car rental company has 120 cars and rents out 75% of them, how many cars are still available for rent?"} {"instruction": "A chat. A bat and ball cost $1.10 in total. The bat costs $1 more than the ball. How much does the ball cost?"} {"instruction": "A chat. A construction company is building a residential complex consisting of five high-rise buildings, each with 20 floors. Each floor has four apartments, and each apartment has a living area of 1,200 square feet. Calculate the total living area in the complex and estimate the number of residents it can accommodate, considering an average household size of 3 people. Also, calculate the total number of parking spaces required if each apartment is allocated 1.5 parking spaces.\n"} {"instruction": "A chat. Determine the eigenvalues and eigenvectors of the following matrix:\n | 2 1 |\n | 1 2 |\n Provide step-by-step reasoning.\n"} {"instruction": "A chat. A store sells apples for $1.50 per pound and oranges for $2.00 per pound. If a customer buys 4 pounds of apples and 6 pounds of oranges, how much will they spend?"} {"instruction": "A chat. There are approximately 1 billion bicycles in the world. If each bicycle has 2 tires, how many total bicycle tires are there in the world?"} {"instruction": "A chat. If a person saves $200 every month for 10 years, how much money will they have saved at the end of the period, assuming no interest is earned on the savings?"} {"instruction": "A chat. A store sells three types of candies - chocolate, gummy, and hard candy. If a customer can buy any number of each type, how many different combinations of candies can they purchase if they want to buy exactly 10 candies?"} {"instruction": "A chat. A company produces widgets with a 5% defect rate. If they produce 10,000 widgets in a day, what is the probability that exactly 450 are defective?"} {"instruction": "A chat. A food processing plant produces canned vegetables and needs to calculate the production capacity required to meet increased demand. The plant currently processes 20,000 cans per day, but they aim to increase their output by 50% over the next year. Each canning line can produce 1,000 cans per hour, and the plant operates 16 hours per day. Determine how many additional canning lines are needed to achieve the desired production increase. Provide step-by-step reasoning for your calculations.\n"} {"instruction": "A chat. A box contains 3 defective light bulbs and 7 non-defective light bulbs. If two light bulbs are randomly selected without replacement, what is the probability that both light bulbs are defective?"} {"instruction": "A chat. A box contains 9 red balls, 3 blue balls, and 2 green balls. What is the probability of drawing a red ball from the box without looking? Explain your reasoning."} {"instruction": "A chat. A store sells three types of candies: chocolate bars for $2 each, gummy bears for $1.50 per bag, and lollipops for $0.25 each. If someone buys 4 chocolate bars, 6 bags of gummy bears, and 10 lollipops, what is the total cost of their purchase?"} {"instruction": "A chat. A shipping company needs to transport 10,000 packages from their warehouse to various destinations across the country. They have three types of trucks available: small trucks with a capacity of 100 packages, medium trucks with a capacity of 250 packages, and large trucks with a capacity of 500 packages. Small trucks cost $200 per trip, medium trucks cost $400 per trip, and large trucks cost $600 per trip. Determine the optimal combination of truck types to minimize transportation costs while ensuring all packages are delivered. Explain your reasoning.\n"} {"instruction": "A chat. A deck of cards has 52 cards. You draw one card from the deck. What are the chances you draw a heart or a queen? Show your reasoning."} {"instruction": "A chat. If a fair coin is flipped 10 times, what is the probability of getting exactly 6 heads?"} {"instruction": "A chat. In a room, there are 4 people. Each person has a different number of candies in their pocket. Person A has 3 more candies than person B. Person C has twice as many candies as person D. If the total number of candies is 28, how many candies does each person have?"} {"instruction": "A chat. Compute the Laplace transform of the function f(t) = e^(at)cos(bt), where a and b are constants."} {"instruction": "A chat. In a certain city, there are 50,000 households. Of these, 60% own at least one car, and 40% own at least one bicycle. What is the minimum possible number of vehicles (cars and bicycles combined) owned by households in this city?"} {"instruction": "A chat. If I have 5 oranges and you give me 3 apples, how many grapes do I have?"} {"instruction": "A chat. There are 120 passengers on a train. Among them, 75% have a ticket for first class, while the rest have a ticket for second class. If the train has 8 first-class cabins and 4 second-class cabins, how many passengers are there in each cabin on average?"} {"instruction": "A chat. John has twice as many marbles as Tom. Tom has 3 more marbles than Jerry. If Jerry has 7 marbles, how many marbles does John have? Include your logic."} {"instruction": "A chat. A father has three sons. The youngest son is half the age of the middle son, and the oldest son is twice the age of the middle son. If the sum of their ages is 42 years, how old is each son?"} {"instruction": "A chat. In a room, there are 10 men and 20 women. Half of the men have glasses, and one-third of the women have glasses. How many people in the room do not have glasses?"} {"instruction": "A chat. In a class of 30 students, 18 are boys and the rest are girls. What percentage of the class is made up of girls?"} {"instruction": "A chat. A bag contains 6 red balls and 4 blue balls. If you randomly pick one ball from the bag and then put it back before picking another, what is the probability of picking a red ball followed by a blue ball?"} {"instruction": "A chat. Determine the volume of a cylinder with a radius of 5 cm and a height of 10 cm, providing step-by-step reasoning.\n"} {"instruction": "A chat. In a game show, a contestant has to choose between three doors. Behind one door is a car, while behind the other two doors are goats. After the contestant chooses a door, the host, who knows what's behind each door, opens one of the other two doors to reveal a goat. The contestant then has the option to switch their choice to the remaining unopened door or stick with their original choice. What is the best strategy for the contestant to maximize their chances of winning the car?"} {"instruction": "A chat. Write a Python program to calculate the factorial of a given positive integer."} {"instruction": "A chat. A plane flies at an average speed of 500 miles per hour. If it takes 10 hours to fly from City A to City B, how long will it take to return from City B to City A if the plane's average speed increases to 550 miles per hour?"} {"instruction": "A chat. A company sells two types of products, X and Y. The profit per unit for product X is $10, while the profit per unit for product Y is $15. The company wants to maximize its profit but has a storage capacity limit of 500 units. If they must maintain a ratio of 3:2 between products X and Y in their inventory, what is the maximum profit they can achieve?"} {"instruction": "A chat. How many miles would a person travel if they walked at an average speed of 3.5 mph for 2 hours and 45 minutes?"} {"instruction": "A chat. In a certain city, the population doubles every 20 years. If the current population is 100,000, what will be the population after 60 years?"} {"instruction": "A chat. A water tank holds 5000 liters of water. If a tap can fill the tank at a rate of 20 liters per minute, how long will it take to fill the tank completely?"} {"instruction": "A chat. A shipping company operates a fleet of cargo ships, transporting goods between various ports around the world. Each ship has a carrying capacity of 50,000 tons and takes an average of 15 days to complete a round trip. The company charges $5 per ton of cargo transported. Calculate the annual revenue generated by a single ship, assuming it operates at full capacity and completes 20 round trips per year. Also, determine the effect on revenue if the company increases its carrying capacity by 10% or reduces the average round-trip time by 2 days."} {"instruction": "A chat. In a class of 30 students, 18 are boys. What percentage of the class are girls? Show your work."} {"instruction": "A chat. A factory produces 10,000 widgets per day and has a defect rate of 2%. If the factory operates for 300 days in a year, how many non-defective widgets are produced annually?"} {"instruction": "A chat. A farmer has 12 cows and 16 sheep. He wants to build a fence around his animals with each animal occupying an equal amount of space. What is the minimum length of the fence needed if he uses all his animals?"} {"instruction": "A chat. If you have a deck of 52 playing cards, what is the probability of drawing a king or a queen?"} {"instruction": "A chat. You have a rectangular garden that is 12 meters long and 8 meters wide. You want to build a walkway around the garden with a uniform width such that the area of the walkway is equal to the area of the garden. What is the width of the walkway?"} {"instruction": "A chat. A theme park plans to build a new roller coaster with a budget of $15 million. The construction cost breakdown is as follows: 50% for the track, 30% for the trains, and 20% for theming and landscaping. Additionally, there will be an annual maintenance fee of 5% of the initial construction cost. Calculate the individual budgets for each component of the roller coaster and estimate the total maintenance cost over a period of 10 years.\n"} {"instruction": "A chat. A large hotel chain is considering investing in a new property located near a popular tourist destination. The property consists of a main building with 150 rooms and several smaller buildings with a combined total of 50 rooms. The hotel chain expects an average occupancy rate of 80% year-round. Calculate the expected annual revenue from room bookings, taking into account seasonal fluctuations in room rates and occupancy. Also, estimate the annual operating costs, including staff salaries, utilities, maintenance, and marketing expenses.\n"} {"instruction": "A chat. In a bag, there are 10 red balls and 20 blue balls. If you randomly pick two balls from the bag without replacement, what is the probability that both balls will be red?"} {"instruction": "A chat. Every second, 1% of the bacteria in a culture dies. How many percent of the original bacteria remain after one minute? Explain your thought process."} {"instruction": "A chat. A sports stadium is planning to upgrade its lighting system to improve visibility for night games. The current system consists of 100 floodlights, each with a power output of 1,000 watts. The proposed new system will use LED lights, which are more energy-efficient and have a longer lifespan. Determine the number of LED lights required to achieve the same level of illumination as the existing system, considering factors such as light output, energy consumption, and maintenance costs. Describe your reasoning.\n"} {"instruction": "A chat. A train travels 150 miles in 3 hours going from station A to station B. On its return trip from station B to station A, it takes 5 hours due to a slower speed. What is the average speed of the entire round trip?"} {"instruction": "A chat. In a classroom, there are 15 students. Each student has 3 pencils and 2 pens. How many writing instruments do all the students have in total?"} {"instruction": "A chat. If you have two coins and one of them is not a nickel, what are the chances that both coins are nickels?"} {"instruction": "A chat. Prove the Cauchy-Schwarz inequality: For any vectors u and v in R^n, |u\u00b7v| \u2264 ||u|| ||v||."} {"instruction": "A chat. In a town, there are 100 houses. All the red houses have blue doors, and all the green houses have yellow doors. If there are 50 red houses and 25 green houses, how many houses have blue doors?"} {"instruction": "A chat. If a clock strikes once at 1 o'clock, twice at 2 o'clock, thrice at 3 o'clock and so on, how many times will it strike in 24 hours?"} {"instruction": "A chat. If you have a standard deck of 52 playing cards, what is the probability of drawing four cards at random without replacement and getting exactly two red cards and two black cards?"} {"instruction": "A chat. A rectangle has a length of 10 meters and a width of 6 meters. If both the length and width are doubled, what is the ratio of the area of the new rectangle to the original rectangle?"} {"instruction": "A chat. Tom weighs twice as much as his sister Mary. Together, they weigh 210 pounds. How much does Tom weigh?"} {"instruction": "A chat. If you have two US quarters, four dimes, and four pennies, how much money do you have?"} {"instruction": "A chat. A train leaves Town A at 8 am traveling at 60 mph towards Town B. At the same time, another train leaves Town B traveling at 40 mph towards Town A. If the distance between the towns is 200 miles, at what time will the trains pass each other?"} {"instruction": "A chat. Solve: ((3^2 - 4) * 2 + 6) / 3 ="} {"instruction": "A chat. A software development company is working on a project with a tight deadline. The project consists of 100 tasks, each requiring different levels of effort and expertise. The company has 20 developers available, each with varying skill sets and experience levels. Create a plan to allocate tasks among the developers in the most efficient way possible, considering factors such as task complexity, developer expertise, and time constraints.\n"} {"instruction": "A chat. A factory produces two types of products, A and B. Product A requires 3 hours to manufacture, while product B takes 4 hours. If the factory operates for 10 hours per day and can only produce one type of product each day, how many units of each product can be produced in a week if they alternate between producing product A and product B every other day?"} {"instruction": "A chat. A large concert venue wants to optimize its seating capacity and ticket pricing strategy for an upcoming music festival. The venue can accommodate up to 20,000 attendees, with different sections offering varying levels of visibility and comfort. Calculate the optimal number of tickets to sell in each section and their respective prices, considering factors such as demand, production costs, and artist fees. Also, estimate the total revenue generated from ticket sales and ancillary income sources like food and beverage concessions, merchandise sales, and parking fees.\n"} {"instruction": "A chat. In a box, there are red, blue, and green balls. The ratio of red to blue balls is 3:4, and the ratio of blue to green balls is 2:5. If there are 30 green balls, how many balls are there in total?"} {"instruction": "A chat. A rectangular garden is 3 times longer than it is wide. If the perimeter of the garden is 48 meters, what are its dimensions?"} {"instruction": "A chat. A pizza place offers three sizes of pizzas: small (8 inches), medium (12 inches), and large (16 inches). Determine the area of each size pizza and compare their areas to determine which size provides the most value for money. Explain your reasoning.\n"} {"instruction": "A chat. A square garden has an area of 64 square meters. If you want to build a fence around the garden with one gate that is 1 meter wide, how many meters of fencing do you need?"} {"instruction": "A chat. A cylindrical tank with a radius of 2 meters and a height of 5 meters is filled with water. If the water is pumped out at a rate of 0.5 cubic meters per minute, how long will it take to empty the tank completely?"} {"instruction": "A chat. If a train travels at an average speed of 80 kilometers per hour and needs to cover a distance of 480 kilometers, how long will it take to reach its destination?"} {"instruction": "A chat. In a small town, there are 5 barbers. Each barber cuts the hair of every other barber in town except for themselves. How many haircuts does each barber give?"} {"instruction": "A chat. A company has a total of 120 employees. If 60% of them are men and the rest are women, how many more men than women work at the company?"} {"instruction": "A chat. If there are six apples and you take away four, how many apples do you have? Include your logic."} {"instruction": "A chat. A cone-shaped container has a height of 12 inches and a diameter of 8 inches. What is its volume?"} {"instruction": "A chat. A factory produces widgets at a rate of 50 per hour. However, due to quality control issues, 10% of these widgets are defective and must be discarded. How many non-defective widgets will the factory produce in a 12-hour shift?"} {"instruction": "A chat. A farmer has a rectangular field with a length of 200 meters and a width of 150 meters. He wants to plant corn on half of the field and wheat on the other half. If each corn plant requires 2 square meters and each wheat plant requires 3 square meters, how many plants of each type can he grow?"} {"instruction": "A chat. A bat and ball cost $1.10 in total. The bat costs $1.00 more than the ball. How much does the ball cost? Show your work."} {"instruction": "A chat. In a game of poker, what is the probability of being dealt a flush (5 cards of the same suit) when drawing 5 cards from a standard deck of 52 playing cards?"} {"instruction": "A chat. A publishing company wants to print a limited edition of a popular novel with special features such as high-quality paper, illustrations, and a hardcover binding. The production cost per book is $15, and they plan to sell each copy for $50. However, there are additional costs involved, including marketing expenses ($10,000) and author royalties (10% of the sale price). Calculate the minimum number of books that need to be sold to break even on this project. Explain your reasoning.\n"} {"instruction": "A chat. A cruise ship company is planning a new route that will visit five different ports over ten days. Each port has varying docking fees based on the size of the ship: small ships (up to 1000 passengers) pay $1,000 per day, medium ships (1001-2000 passengers) pay $2,000 per day, and large ships (over 2000 passengers) pay $3,000 per day. The company's budget for docking fees during this trip is $50,000. Determine the maximum size of the ship they can use while staying within budget, considering the time spent at each port and the associated docking fees. Provide step-by-step reasoning.\n"} {"instruction": "A chat. If a store offers a 15% discount on an item that originally costs $120, how much would you pay if there is also a 7% sales tax applied after the discount?"} {"instruction": "A chat. A factory produces 2500 units of a product every day. How many units will it produce in 3 weeks if it operates 6 days a week?"} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" Each box contains either only apples, only oranges, or a mix of both fruits. However, all the labels on the boxes are incorrect. How many boxes do you need to open to correctly label each box?"} {"instruction": "A chat. Solve the expression: (3^2 - 4) * (5 + 1)^2 \u00f7 6 ="} {"instruction": "A chat. In a certain country, the income tax rate is 10% for the first $10,000 earned, 20% for the next $20,000 earned, and 30% for any amount above $30,000. How much income tax would someone pay if they earn $45,000 in a year?"} {"instruction": "A chat. Four friends decide to split the cost of a $100 gift equally among themselves. However, one friend backs out at the last minute. How much does each of the remaining three friends need to contribute now?"} {"instruction": "A chat. In a group of people, there are twice as many women as men. If 3/4 of the women and 1/2 of the men wear glasses, what fraction of the entire group wears glasses?"} {"instruction": "A chat. A train travels from Town A to Town B at an average speed of 60 km/h and then returns to Town A at an average speed of 90 km/h. What is the average speed for the entire trip?"} {"instruction": "A chat. Solve the equation: 3x + 4 = 16. Show your work.\n"} {"instruction": "A chat. What is the sum of all three-digit numbers that can be formed using the digits 1, 2, and 3 without repetition?"} {"instruction": "A chat. A hotel chain wants to optimize its pricing strategy based on historical occupancy rates, seasonality, and competitor pricing. They have 200 hotels across the country, each with different room types and amenities. Develop a dynamic pricing model that maximizes revenue while maintaining high occupancy rates, taking into account factors such as booking lead time, customer segments, and special events. Describe your approach in steps.\n"} {"instruction": "A chat. You have a basket containing 100 apples. You give away half of your apples to a friend. Then, you eat one apple. After that, you again give away half of what you have left. Finally, you eat one more apple. How many apples do you have left? Show your work."} {"instruction": "A chat. A box contains 4 red balls, 6 green balls, and 5 blue balls. If you randomly pick three balls without replacement, what is the probability that all three balls will be different colors?"} {"instruction": "A chat. A train travels 100 miles in 2 hours. How long does it take to travel 50 miles at the same speed?"} {"instruction": "A chat. A hospital needs to purchase medical equipment for its newly expanded emergency department. They require 20 ventilators, 50 patient monitors, and 100 IV pumps. Ventilators cost $25,000 each, patient monitors are priced at $5,000 per unit, and IV pumps are $1,500 each. Additionally, the hospital must pay an annual maintenance fee of 5% of the total equipment cost. Calculate the initial investment required for purchasing the equipment and the annual maintenance fees, considering a possible 3% price increase in equipment after two years.\n"} {"instruction": "A chat. Given the complex number z = 3 + 4i, find its magnitude and argument."} {"instruction": "A chat. There are 50 people in a room. Half of them are wearing glasses, and 1/4 of those wearing glasses have blue eyes. How many people with blue eyes are wearing glasses?"} {"instruction": "A chat. A company has 5 managers and 20 employees. The company wants to form a committee of 3 people with at least 1 manager. How many different committees can be formed?"} {"instruction": "A chat. Determine the vertex and axis of symmetry of the quadratic function f(x) = -2(x - 3)^2 + 4. Explain your reasoning.\n"} {"instruction": "A chat. A rectangular garden has a length of 20 feet and a width of 12 feet. If a gardener wants to plant flowers along the perimeter of the garden, and each flower requires 2 feet of space, how many flowers can be planted?"} {"instruction": "A chat. In a game, you have a 1/3 chance of winning $30, a 1/6 chance of winning $60, and a 1/2 chance of losing $20. What is your expected value for playing this game?"} {"instruction": "A chat. A car rental company charges $25 per day for renting a car and an additional 10 cents per mile driven. If you rent a car for 5 days and drive it for 300 miles, how much will the total cost be?"} {"instruction": "A chat. A large hospital is evaluating the efficiency of its emergency department (ED). On average, the ED receives 500 patients per day, with a peak hour volume of 60 patients. Each patient requires an average of 30 minutes of care from medical staff. The hospital aims to reduce waiting times by increasing the number of available doctors and nurses during peak hours. Determine the minimum number of additional medical staff required to achieve this goal, assuming that each doctor or nurse works an 8-hour shift and spends 75% of their time providing direct patient care.\n"} {"instruction": "A chat. A factory produces 1000 widgets per day. It is known that 1% of the widgets produced are defective. An inspector randomly selects 10 widgets from the production line each day to check for defects. What is the probability that the inspector finds at least one defective widget in their daily sample?"} {"instruction": "A chat. A man has 8 pairs of socks in his drawer. Each pair consists of one black sock and one white sock. In complete darkness, how many socks does he need to pull out to guarantee he has at least one matching pair?"} {"instruction": "A chat. There are 12 apples on a table. Half of them are green, and the rest are red. John takes away 3 green apples and replaces them with 3 red apples. What is the ratio of green to red apples now?"} {"instruction": "A chat. If a car rental company charges $25 per day for renting a car and an additional 15 cents per mile driven, how much would it cost to rent the car for 5 days and drive it for 350 miles?"} {"instruction": "A chat. A rectangle has a length that is twice its width. If the perimeter of the rectangle is 36 inches, what is the area of the rectangle?"} {"instruction": "A chat. If the first and third terms of an arithmetic sequence are 7 and 15, respectively, what is the second term?"} {"instruction": "A chat. A train travels at a constant speed from Station A to Station B. The distance between the two stations is 120 miles. If it takes the train 1 hour and 30 minutes to complete the journey, what is its average speed?"} {"instruction": "A chat. If a company has 200 employees and decides to give everyone a 10% raise, how much will the total payroll increase if the current average salary is $50,000 per year?"} {"instruction": "A chat. Sarah bought 3 packs of pencils. Each pack contains 12 pencils. She gave 2 pencils to each of her 5 friends. How many pencils does she have left? Show your work."} {"instruction": "A chat. A group of 8 friends goes out for dinner and decides to split the bill evenly. If the total bill comes to $240, how much does each person have to pay?"} {"instruction": "A chat. In a village, there are 10 houses. Each house has 5 rooms and each room has 3 windows. If all the windows in the village were broken, how many windows would need to be fixed?"} {"instruction": "A chat. Alice can paint a house in 5 hours. Bob can do it in 3 hours. How long will it take them if they work together?"} {"instruction": "A chat. In a group of people, 40% have brown eyes and 60% have blue eyes. If 30% of those with brown eyes wear glasses and 20% of those with blue eyes wear glasses, what percentage of the entire group wears glasses?"} {"instruction": "A chat. In a factory, there are 5 machines producing widgets. Each machine produces 8 widgets per hour. How many widgets will be produced by all the machines together in 10 days if they work 16 hours a day?"} {"instruction": "A chat. In a class of 30 students, 60% are boys. If there is a 10% increase in the number of boys and a 20% decrease in the number of girls, what will be the new total number of students in the class?"} {"instruction": "A chat. A box contains 12 red balls, 18 blue balls, and 6 green balls. If you randomly pick three balls from the box without replacement, what is the probability that you will get one ball of each color?"} {"instruction": "A chat. There are 5 red balls and 3 blue balls in a bag. If you draw one ball at random, then put it back in the bag before drawing another ball, what is the probability of drawing two red balls in a row?"} {"instruction": "A chat. A group of friends wants to split the cost of renting a vacation house for one week. The total cost is $2,800, and they want each person to pay an equal share. If three more friends join the original group of five, how much would each person pay?"} {"instruction": "A chat. In how many ways can 8 people be seated in a row if two particular persons must always sit together?"} {"instruction": "A chat. A group of people are planning a road trip. They will rent a van that has 8 seats, including the driver's seat. If there are 12 people in the group, how many different ways can they choose who sits in the driver's seat and who sits in the other 7 seats?"} {"instruction": "A chat. Find the eigenvalues and eigenvectors of matrix B = [[2, -1], [1, 3]]."} {"instruction": "A chat. In a small town, there are 4 barbershops. Each barbershop has two barbers working in it. One day, half of the barbers take a day off. How many barbers are still working that day?"} {"instruction": "A chat. In a class of 40 students, 60% passed their math exam. Among those who passed, 75% also passed their science exam. What percentage of the entire class passed both exams?"} {"instruction": "A chat. There are 25 red balls and 75 blue balls in a bag. If you randomly pick one ball, replace it, and then pick another ball, what is the probability of picking two red balls in a row?"} {"instruction": "A chat. (3^2 * 4) / (6 - 2) + 5 * (7 - 3)"} {"instruction": "A chat. A company spends 30% of its revenue on salaries and 20% on rent. If the remaining revenue is $350,000, what was the initial revenue?"} {"instruction": "A chat. I have 10 cats and 20 dogs. How many legs are there in total?"} {"instruction": "A chat. A train leaves from Town A heading towards Town B at 60 mph. At the same time, another train leaves from Town B heading towards Town A at 90 mph. The distance between the two towns is 450 miles. How long will it take for the trains to meet each other?"} {"instruction": "A chat. In an election, Candidate A received 60% of the votes and won by a margin of 12,000 votes. How many total votes were cast in the election?"} {"instruction": "A chat. If a bakery sells cupcakes in boxes of 12, and they sell 50 boxes in a day, how many individual cupcakes do they sell in a month (considering a month as 30 days)? Provide step-by-step logic."} {"instruction": "A chat. If you're running a race and you pass the person in second place, what place are you in now? Provide step-by-step logic."} {"instruction": "A chat. A logistics company wants to optimize its delivery routes by using a fleet of drones in addition to traditional trucks. Each drone can carry up to 5 packages weighing no more than 20 pounds combined, while each truck can hold up to 100 packages with a maximum weight of 2,000 pounds. The company has a daily average of 500 packages to deliver, with an average package weight of 15 pounds. Determine the most efficient combination of drones and trucks to minimize delivery time and costs, assuming that drone operating costs are half those of trucks. Describe your reasoning.\n"} {"instruction": "A chat. A rectangular garden has a length of 50 feet and a width of 30 feet. If a gardener wants to plant flowers along the perimeter of the garden, how many feet of flowers will they need?"} {"instruction": "A chat. A factory produces 500 units per day. Each unit requires 0.75 kilograms of raw material. How much raw material does the factory require in a month with 30 days?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. It takes the train 2 hours to travel from Town A to Town B. If the train were to travel at a speed of 80 miles per hour instead, how long would it take to travel from Town A to Town B?"} {"instruction": "A chat. A train travels at a constant speed from City A to City B. The distance between the two cities is 300 miles. If the train takes 4 hours to travel halfway, how long will it take for the train to reach City B?"} {"instruction": "A chat. If a company has an annual profit of $500,000 and spends 25% of its profit on marketing, how much does it spend on marketing each month?"} {"instruction": "A chat. An airline is planning to introduce new long-haul routes using a fleet of 15 aircraft. Each aircraft has a maximum range of 8,000 nautical miles and can accommodate up to 300 passengers. Calculate the total number of available seat-miles per month, assuming each aircraft operates one round-trip flight per day. Also, estimate the required number of pilots and cabin crew members based on industry standards for duty time limitations and rest periods. Describe your calculations and assumptions.\n"} {"instruction": "A chat. In a bag, there are 6 red balls, 4 blue balls, and 5 green balls. You need to pick one ball without looking. What is the probability of picking a blue ball if you know that the last person picked a red ball?"} {"instruction": "A chat. There are 100 people in a room. 75 of them speak English, 45 speak French, and 25 speak both English and French. How many people in the room do not speak either language?"} {"instruction": "A chat. A baker uses 3 eggs for every 2 cakes she bakes. How many eggs will she need if she wants to bake 50 cakes? Provide reasoning."} {"instruction": "A chat. In a class of 30 students, 12 students play soccer, 8 students play basketball, and the rest play no sports. What percentage of the class plays a sport?"} {"instruction": "A chat. In an election, Candidate A received 60% of the votes, while Candidate B received the remaining 40%. If there were a total of 50,000 votes cast, how many more votes did Candidate A receive than Candidate B?"} {"instruction": "A chat. The sum of three consecutive odd integers is 75. What are the integers?"} {"instruction": "A chat. In a town, there are 20 houses. Each house has 4 people living in it. However, one day, 5 families with 3 members each move out of the town. How many people are left in the town?"} {"instruction": "A chat. Prove that if a function is continuous and differentiable on an interval [a, b], then it must have at least one point in that interval where its derivative equals the average rate of change over the interval. Use calculus concepts to support your argument.\n"} {"instruction": "A chat. In a room, there are 10 people who speak English, 7 people who speak French, and 3 people who speak both English and French. How many people speak at least one of these languages?"} {"instruction": "A chat. A group of people wants to rent bicycles for a day trip. The rental shop charges $20 per bicycle and offers a group discount of 10% if they rent at least 5 bicycles. If the group has a budget of $100, how many bicycles can they rent with the discount?"} {"instruction": "A chat. If you have two coins totaling 35 cents and one of them is not a quarter, what are the two coins?"} {"instruction": "A chat. In a village, there are 50 houses. Each house has 4 rooms. In each room, there are 2 beds. On each bed, there are 3 cats sleeping. How many legs are in the village?"} {"instruction": "A chat. A farmer has 17 sheep, and all but 9 die. How many are left? Explain your answer."} {"instruction": "A chat. A bag contains 4 red marbles, 6 blue marbles, and 5 green marbles. If you draw three marbles at random without replacement, what is the probability that you get one marble of each color?"} {"instruction": "A chat. A large bakery chain is analyzing its production efficiency across multiple locations. Each bakery produces an average of 10,000 units of baked goods daily, using 50 employees working in two shifts. The company wants to reduce production costs by implementing automation technologies that can replace manual tasks performed by employees. Estimate the potential savings in labor costs if the company invests in automation equipment that can perform the work of 30% of the current workforce, assuming an average hourly wage of $15 per employee."} {"instruction": "A chat. A factory produces 250 units of a product per day. If the factory operates for 20 days each month and the monthly production target is 5,000 units, how many more units does the factory need to produce daily to meet the target?"} {"instruction": "A chat. If you have a circle with a diameter of 10 cm, what is its area?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 mph. It takes a break for 20 minutes in Town C, which is halfway between Town A and Town B. The entire journey, including the break, takes 3 hours. What is the distance between Town A and Town B?"} {"instruction": "A chat. Find the derivative of the function f(x) = x^3 - 4x^2 + 2x - 1. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A rectangular room has an area of 180 square feet and a width of 12 feet. What is the length of the room?"} {"instruction": "A chat. A sports stadium is planning to replace its current seating with more comfortable and spacious seats. The stadium currently has a seating capacity of 60,000 spectators. After the renovation, the seating capacity will be reduced by 15%, but ticket prices will increase by 25%. Calculate the new seating capacity and the potential change in revenue generated from ticket sales, assuming the stadium operates at full capacity. Explain your reasoning.\n"} {"instruction": "A chat. A group of friends decided to play a game where they have to guess how many marbles are inside a jar. Alice guessed 45, Bob guessed 60, Charlie guessed 55, and David guessed 50. The actual number of marbles was closer to Alice's guess than anyone else's guess but not exactly her guess. What could be the actual number of marbles in the jar?"} {"instruction": "A chat. (4^2 - 3) / (2 + 1)^2 - 7 ="} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 mph. The distance between the two towns is 180 miles. If it takes 1 hour for the train to travel halfway, how long will it take for the train to reach Town B?"} {"instruction": "A chat. A national park is evaluating its visitor facilities and infrastructure. The park covers an area of 5,000 square kilometers and receives an average of 100,000 visitors per month during peak season. There are currently 20 campsites, 10 picnic areas, and 15 restrooms distributed across the park. Park management wants to improve visitor experience by ensuring that no visitor has to travel more than 10 kilometers to reach a facility. Calculate the additional number of campsites, picnic areas, and restrooms needed to achieve this goal. Provide step-by-step reasoning."} {"instruction": "A chat. A train travels from City A to City B at a speed of 60 miles per hour. It takes 3 hours for the train to reach City B. On its way back to City A, the train increases its speed by 20%. How long does it take for the train to travel back to City A?"} {"instruction": "A chat. In a room, there are 4 people. Each person has 2 hats and 3 pairs of shoes. If one person leaves the room with all their belongings, how many hats and pairs of shoes remain in the room?"} {"instruction": "A chat. In a small town, there are 3 barbers. Barber A has a very neat and tidy haircut, Barber B has an average-looking haircut, and Barber C has a messy and unkempt haircut. Which barber should you go to for the best haircut?"} {"instruction": "A chat. If a factory produces 500 units of product A and 300 units of product B per day, how many days will it take for the factory to produce a total of 10,000 units?"} {"instruction": "A chat. If a person drinks an average of 3.5 liters of water per day, how many liters will they drink in a month with 30 days?"} {"instruction": "A chat. A box contains red, blue, and green marbles. There are twice as many red marbles as there are blue marbles, and three times as many green marbles as there are red marbles. If there are a total of 66 marbles in the box, how many blue marbles are there?"} {"instruction": "A chat. A car rental company charges $50 per day for renting a car and an additional 25 cents per mile driven. How much would it cost to rent the car for 4 days and drive it for 300 miles?"} {"instruction": "A chat. A factory produces 1200 items per day. Due to a malfunction, 3% of the items produced are defective. If the factory operates for 25 days, how many non-defective items will be produced during that period?"} {"instruction": "A chat. There are 4 light switches in a room, each controlling one of four different lights. If all the lights are off and you can only enter the room once to check which switch controls which light, how can you determine which switch corresponds to each light?"} {"instruction": "A chat. A company produces 400 cars per month. Each car requires 4 tires. How many tires does the company need in a year? Include your logic."} {"instruction": "A chat. A bakery sells cookies in packs of 3, 5, and 7. If you can only buy one pack at a time, what is the smallest number of cookies you can purchase that will give you an equal number of each type of cookie?"} {"instruction": "A chat. An airline is planning to introduce new direct flights between two major cities, with three daily round-trip flights. Each flight has a capacity of 200 passengers, and the average ticket price is $300. To launch this new route, the airline needs to purchase two new planes, each costing $100 million, and invest in airport infrastructure upgrades totaling $50 million. Calculate the annual revenue generated by these flights, assuming a passenger load factor of 80% and 365 days of operation. Also, determine the payback period for the initial investment, taking into account fixed costs such as crew salaries, fuel, maintenance, and landing fees, which amount to $10 million annually.\n"} {"instruction": "A chat. A factory produces 4 different types of widgets. The production rates per day are as follows: Type A \u2013 200 units, Type B \u2013 150 units, Type C \u2013 100 units, and Type D \u2013 50 units. How many days will it take for the factory to produce a combined total of 2,500 units?"} {"instruction": "A chat. Evaluate the expression: (4^2 - 1) * (3 + 2)^2"} {"instruction": "A chat. A factory produces 500 units of a product in 8 hours. If the factory operates for 12 hours a day, how many units can it produce in 3 days?"} {"instruction": "A chat. If a farmer has 5 acres of land and wants to plant apple trees in rows, with each tree being 10 feet apart from one another within the row and 15 feet between each row, how many apple trees can he plant on his land?"} {"instruction": "A chat. In a class of 30 students, there are twice as many boys as girls. If 8 more girls join the class, how many boys will there be in the class?"} {"instruction": "A chat. A company wants to organize a team-building event for its employees at an amusem*nt park. The total number of employees is 150, and the company has allocated $5,000 for transportation. Each bus can accommodate up to 50 people and costs $300 per day. Determine how many buses the company should rent and if they will stay within their budget. Explain your reasoning.\n"} {"instruction": "A chat. There are 8 apples and 12 oranges in a basket. If you randomly pick out one fruit, what is the probability that it's an apple?"} {"instruction": "A chat. A theme park is planning to build a new roller coaster to attract more visitors. The construction cost of the roller coaster is estimated at $20 million, and it can accommodate up to 1,000 riders per hour. The park expects the new attraction to increase annual attendance by 15%, from the current 2 million visitors per year. Calculate the additional revenue generated by the increased attendance, considering an average ticket price of $60, and determine the number of years required to recoup the initial investment.\n"} {"instruction": "A chat. A farmer wants to build a rectangular fence for his sheep using 200 meters of fencing material. If he wants to maximize the enclosed area, what should be the dimensions of the fence?"} {"instruction": "A chat. A company sells two types of products, X and Y. The profit margin for product X is 25%, while the profit margin for product Y is 35%. If the company sells $10,000 worth of product X and $5,000 worth of product Y, what is their total profit?"} {"instruction": "A chat. Alice is taller than Bob. Bob is shorter than Carol. Is Alice taller than Carol?"} {"instruction": "A chat. If a factory produces 1500 units of product A and 2500 units of product B in one day, and the profit per unit for product A is $8 while the profit per unit for product B is $5, what is the total profit generated by the factory in one day?"} {"instruction": "A chat. A store sells a product for $100 and offers a 10% discount on purchases of 3 or more items. If a customer buys 4 items, how much do they save compared to buying them at full price?"} {"instruction": "A chat. A group of people decide to plant trees in a park. They plant 20 trees on the first day and increase the number of trees planted by 10% each day. How many trees will they have planted after one week (7 days)?"} {"instruction": "A chat. In a class of 30 students, 18 are boys and 12 are girls. What is the ratio of boys to girls in the class? Simplify the ratio and explain your reasoning.\n"} {"instruction": "A chat. In a group of 15 people, there are five married couples and the rest are single. Each person shakes hands with every other person exactly once. How many handshakes occur between two single people? Provide step-by-step logic."} {"instruction": "A chat. A classroom contains 5 rows of desks. Each row has 6 desks. Each desk seats 2 students. How many students can the classroom accommodate?"} {"instruction": "A chat. There are 100 people in a room. If 60% of them are wearing glasses and 40% of those wearing glasses also wear hats, how many people are wearing both glasses and hats?"} {"instruction": "A chat. A software company needs to hire additional developers to work on a major project with a tight deadline. The project requires 50,000 hours of development work and must be completed in six months. Each developer works 40 hours per week, but the company also needs to account for sick days, vacation days, and training time. Determine the number of developers needed to complete the project on time, considering these factors and any potential risks or delays. Describe your reasoning."} {"instruction": "A chat. A train travels from City A to City B in 5 hours. On its way back from City B to City A, it takes 7 hours due to bad weather conditions. What is the average speed of the train for the entire trip if the distance between City A and City B is 350 miles?"} {"instruction": "A chat. A car rental company charges a flat fee of $25 per day plus an additional 15 cents per mile driven. If a customer rents a car for 3 days and drives 150 miles, how much will they be charged?"} {"instruction": "A chat. A telecommunications company is planning to expand its network coverage in rural areas. They currently have 500 towers covering 60% of the targeted area. To achieve 95% coverage, they need to build additional towers. Calculate the number of new towers required and estimate the cost if each tower costs $200,000 to construct and maintain annually.\n"} {"instruction": "A chat. Alice, Bob, and Carol are playing a game where they take turns rolling a fair six-sided die. The first person to roll a 6 wins the game. If Alice goes first, followed by Bob and then Carol, what is the probability that Alice will win the game?"} {"instruction": "A chat. A factory produces 250 units of a product per day. Due to an increase in demand, they decide to increase their production by 15%. How many units will they produce daily after the increase?"} {"instruction": "A chat. A box contains 5 red balls and 7 blue balls. If you draw 3 balls at random without replacement, what is the probability that you will get 2 red balls and 1 blue ball?"} {"instruction": "A chat. Show that if a group G has order p^n, where p is prime, then G has an element of order p."} {"instruction": "A chat. In a family of 7 siblings, each sibling has at least one brother. What is the minimum number of brothers that any of the siblings can have?"} {"instruction": "A chat. A theme park is designing a new roller coaster with a height restriction of 48 inches or taller. According to recent census data, the percentage of children meeting this height requirement in different age groups is as follows: ages 4-6 (40%), ages 7-9 (75%), and ages 10-12 (95%). If the park expects to have an equal number of visitors from each age group, calculate the overall percentage of children who will be able to ride the new roller coaster.\n"} {"instruction": "A chat. A train leaves Station A traveling east at 60 mph. At the same time, another train leaves Station B traveling west towards Station A at 80 mph. Station A and Station B are 420 miles apart. How long does it take for the trains to meet each other?"} {"instruction": "A chat. A rectangular garden has a length of 30 feet and a width of 20 feet. If a gardener wants to plant flowers along the perimeter of the garden with one flower every 2 feet, how many flowers will they need?"} {"instruction": "A chat. A triangle has side lengths of 7 inches, 10 inches, and 13 inches. What is the area of the triangle?"} {"instruction": "A chat. In a box, there are red balls, blue balls, and green balls. The ratio of red balls to blue balls is 3:4, and the ratio of blue balls to green balls is 2:5. What is the ratio of red balls to green balls?"} {"instruction": "A chat. A group of friends went out for dinner. They decided to split the bill evenly among themselves. However, when they received the bill, they realized that they had been charged for an extra meal that none of them ordered. If the total bill was $180 and each person's share (including the extra meal) was $30, how many friends were in the group?"} {"instruction": "A chat. A book has 200 pages. If John reads 25 pages every day, how long will it take him to finish the book? Show your work."} {"instruction": "A chat. A company has two factories. Factory X produces 800 items per day, while factory Y produces 1200 items per day. If each item sells for $15, what is the combined daily revenue from both factories?"} {"instruction": "A chat. A factory produces 1000 units of a product per day, and each unit generates a profit of $10. If the factory increases its production by 20% but has to decrease the profit per unit by $2 due to increased costs, what will be the new daily profit?"} {"instruction": "A chat. A rectangle has a length of 12 cm and a width of 8 cm. What is the area of the rectangle?"} {"instruction": "A chat. If 12 workers can build a house in 16 days, how long would it take 8 workers to build the same house under similar conditions? Explain your thought process."} {"instruction": "A chat. A car rental company charges $50 per day for renting a car and an additional fee of $0.20 per mile driven. If a customer rents a car for 5 days and drives it for 300 miles, what is the total cost of renting the car?"} {"instruction": "A chat. In a town, there are 10 houses on one side of the street and 15 houses on the other side. Each house has 4 people living in it. However, every third house on both sides has only 2 people living in it. How many people live on this street?"} {"instruction": "A chat. There are 6 red balls and 4 blue balls in a bag. You take out one ball, look at its color, and put it back in the bag. Then you do this again with another ball. What is the probability that both balls were red?"} {"instruction": "A chat. If you have a cylindrical container with a radius of 4 inches and a height of 10 inches, how many gallons of water can it hold? (Note: 1 gallon is approximately equal to 231 cubic inches)"} {"instruction": "A chat. In a village, there are 10 houses. Each house has 4 doors and each door has 3 locks. If one key can open only one lock, how many keys are needed to open all the locks in the village?"} {"instruction": "A chat. If a farmer has 100 meters of fencing and wants to enclose a rectangular area for his sheep, what is the maximum area he can enclose?"} {"instruction": "A chat. In a village, there are 10 houses in a row. Each house is painted either red or blue. If no two adjacent houses can be the same color, how many different ways can the houses be painted?"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B every week. Product A is sold at a price of $40 per unit, while product B is sold at a price of $60 per unit. What is the combined weekly revenue from both products?"} {"instruction": "A chat. A factory produces two types of products, A and B. The profit per unit for product A is $8, while the profit per unit for product B is $12. If the factory wants to maximize its profit by producing a total of 500 units, how many units of each product should it produce?"} {"instruction": "A chat. In a class of 25 students, 60% are girls. Each girl has 2 brothers in the class. How many boys are in the class? Include your logic."} {"instruction": "A chat. A container is filled with a mixture of two liquids, A and B, in the ratio 3:5. If 12 liters of liquid A is added to the container, the new ratio becomes 5:5. What was the initial volume of the mixture?"} {"instruction": "A chat. A large hospital is conducting a study on the effectiveness of a new treatment method for a specific medical condition. They have gathered data from 5000 patients who received the treatment over the past year. The treatment requires daily visits to the hospital for two weeks, followed by weekly visits for six months. Calculate the total number of patient visits during the study period, taking into account holidays and weekends when the hospital was closed. Also, estimate the required staffing levels for doctors, nurses, and administrative staff, given a desired doctor-to-patient ratio of 1:15, nurse-to-patient ratio of 1:10, and administrative staff-to-patient ratio of 1:25.\n"} {"instruction": "A chat. A company plans to distribute promotional items at a trade show. They have allocated $1,000 for this purpose and want to give away pens ($0.50 each), notepads ($1.25 each), and tote bags ($3 each). They aim to distribute twice as many pens as notepads and an equal number of notepads and tote bags. Calculate how many of each item they can afford to give away while staying within their budget. Explain your reasoning.\n"} {"instruction": "A chat. In a class of 30 students, 12 are boys and the rest are girls. If the teacher randomly selects one student from the class, what is the probability that the selected student is a girl?"} {"instruction": "A chat. A company has 8 employees, and each employee works 40 hours per week. If the company decides to hire 2 more employees and reduce everyone's work hours to 35 hours per week, what is the total number of hours worked by all employees after these changes?"} {"instruction": "A chat. Compute the hom*ology groups H_n(S^1 \u00d7 S^1) for all n \u2265 0, where S^1 denotes the circle."} {"instruction": "A chat. In a bag, there are 7 red balls and 5 green balls. You randomly pick one ball, then put it back and pick another ball. What is the probability that both balls picked were red?"} {"instruction": "A chat. A factory produces 200 widgets per hour during its regular 8-hour shift. However, during overtime hours, the production rate drops to 150 widgets per hour. If the factory operates for a total of 10 hours in one day, how many widgets are produced that day?"} {"instruction": "A chat. There are 4 red balls and 6 blue balls in a bag. You draw one ball at random, then put it back and draw another ball. What is the probability that you draw two red balls in a row?"} {"instruction": "A chat. A factory produces widgets at a constant rate. In 5 hours, the factory produces enough widgets to fill 3 crates. How many crates will be filled after 12 hours of production?"} {"instruction": "A chat. A hospital is conducting a study on the effectiveness of a new surgical procedure. They plan to enroll 500 patients in the study, with half receiving the new procedure and half receiving the standard treatment. The new procedure takes 30 minutes longer than the standard treatment and requires an additional specialized surgeon who charges $500 per hour. Calculate the additional cost of performing the new procedure on 250 patients and compare it to the potential savings if the new procedure reduces postoperative complications by 10%.\n"} {"instruction": "A chat. A train travels a distance of 360 miles between two cities. The average speed for the first half of the journey is 60 mph, and the average speed for the second half is 90 mph. What is the overall average speed for the entire trip?"} {"instruction": "A chat. In a village, there are 50 houses. Each house has at least one cat. If each cat can catch exactly 3 mice per day, and the total number of mice caught by all cats in the village is 150 per day, how many cats are there in the village?"} {"instruction": "A chat. A train travels at a constant speed from Town A to Town B. The distance between the two towns is 120 miles. If it takes the train 2 hours to travel halfway, how long will it take for the train to reach Town B?"} {"instruction": "A chat. ((7 - 2)^2 * (5 + 1) / 3) - 4 ="} {"instruction": "A chat. In a game show, contestants can choose between two doors. Behind one door is a car, and behind the other door is a goat. After a contestant chooses a door, the host, who knows what is behind each door, opens one of the remaining doors to reveal a goat. The contestant then has the option to switch their choice or stick with their original choice. What is the probability of winning the car if the contestant switches their choice after the host reveals a goat?"} {"instruction": "A chat. A local theater group needs to sell tickets for their upcoming play. The venue can seat 300 people, and ticket prices are $15 for adults and $10 for students. The group aims to raise at least $4,000 from ticket sales. Determine the minimum number of adult and student tickets they must sell to reach their goal. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a city, 1 in every 5 people owns a dog. The city has a population of 100,000 people. How many dogs are there in the city? Explain your thought process."} {"instruction": "A chat. A store sells apples in bags containing 4 apples each. The store receives a shipment of 1200 apples. How many full bags can they make, and how many apples will be left over?"} {"instruction": "A chat. A man gave his son $100 and told him he could spend it however he wanted, but for every dollar he spent, he had to give half of the remaining money to charity. What is the maximum amount of money the son could spend on himself?"} {"instruction": "A chat. There are 5 houses in a row, each painted with a different color. The green house is next to the white house, but not next to the red house. The blue house is at one end of the row and has no neighbors on its left side. Which house is the green house?"} {"instruction": "A chat. In a class of 30 students, 12 play basketball, 18 play soccer, and 6 play both basketball and soccer. How many students do not play either basketball or soccer?"} {"instruction": "A chat. If a tree produces 200 apples in a year, how many apples does it produce in a decade (10 years)? Show your work."} {"instruction": "A chat. In a family of 5 people, there are 2 parents and 3 children. Each child has one brother and one sister. How many boys and girls are in the family?"} {"instruction": "A chat. A factory produces 500 units of product A every hour. It takes 3 hours to produce enough product A to fill a truck. How many trucks can be filled with product A if the factory operates for 24 hours?"} {"instruction": "A chat. If five machines can produce five widgets in five minutes, how long will it take for 100 machines to produce 100 widgets?"} {"instruction": "A chat. If there are 8 ounces in a cup and you have 5 cups of water, how many pounds of water do you have? (1 pound = 16 ounces)"} {"instruction": "A chat. In a room, there are 5 people who always tell the truth and 4 people who always lie. You ask one person if they are a truth-teller or a liar, and they say \"I am a truth-teller.\" What is the probability that this person is actually a truth-teller?"} {"instruction": "A chat. How many ways can you choose a committee of 4 people from a group of 10 men and 8 women if at least one man and one woman must be included?"} {"instruction": "A chat. A water tank has a capacity of 500 gallons and is currently filled with 300 gallons of water. If a faucet connected to the tank releases water at a rate of 4 gallons per minute, how long will it take to empty the tank completely?"} {"instruction": "A chat. If you have a 25% chance of winning a game, what is the probability that you will win at least once in four attempts?"} {"instruction": "A chat. A gardener has 12 trees to plant in a straight line. He wants to plant them so that there are more trees on the left side of the line than on the right side. How many different ways can he arrange the trees?"} {"instruction": "A chat. A car travels at a constant speed of 60 miles per hour for 2 hours, then increases its speed to 80 miles per hour for another 3 hours. What is the average speed of the car during the entire trip?"} {"instruction": "A chat. If a store sells 12 apples in an hour, how many apples does it sell in a week? Show your reasoning."} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 80 km/h and returns at a speed of 60 km/h. If the round trip takes 6 hours, what is the distance between Town A and Town B?"} {"instruction": "A chat. A hospital is planning to expand its emergency department to accommodate an increasing number of patients. Currently, the department has 20 beds and treats an average of 200 patients per day. The expansion aims to increase the bed count by 50%, but the hospital must maintain a patient-to-bed ratio of no more than 8:1 at any given time. Calculate the required number of additional staff members needed to achieve this goal, assuming each staff member works an 8-hour shift and can treat one patient per hour. Provide a step-by-step explanation.\n"} {"instruction": "A chat. You have a basket containing 100 apples. You give away 60% of these apples. How many apples do you have left? Show your work."} {"instruction": "A chat. A car travels from Point X to Point Y at an average speed of 60 miles per hour. On its way back from Point Y to Point X, it travels at an average speed of 40 miles per hour. What is the car's average speed for the entire round trip?"} {"instruction": "A chat. In a class of 25 students, 12 students play soccer, 8 students play basketball, and 5 students play both soccer and basketball. How many students in the class do not play either soccer or basketball?"} {"instruction": "A chat. A cylindrical container with a radius of 5 inches and a height of 10 inches is filled with water. How many gallons of water can it hold? (1 gallon = 231 cubic inches)"} {"instruction": "A chat. A group of people are playing a game where they sit in a circle. The person sitting to the left of John is Sarah, and the person sitting to the right of Jane is also Sarah. How many people are in the circle?"} {"instruction": "A chat. In a class of 40 students, 70% passed their math exam, and 80% passed their science exam. If 90% of the students passed at least one of the exams, how many students passed both exams?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 miles per hour. The distance between the two towns is 180 miles. If the train makes a stop at Station C halfway between the two towns, how long does it take for the train to travel from Town A to Town B, including a 15-minute stop at Station C?"} {"instruction": "A chat. The Earth orbits the Sun once every 365.25 days. How many times does the Earth orbit the Sun in 50 years? (Consider a leap year every 4 years)"} {"instruction": "A chat. A food processing company wants to optimize its production line by analyzing the efficiency of each step in the process, from raw material procurement to finished product packaging. The company produces a wide range of products with varying levels of complexity and resource requirements. Develop a plan for identifying bottlenecks, reducing waste, and improving overall productivity, considering factors such as equipment capacity, labor availability, and quality control measures. Explain your reasoning."} {"instruction": "A chat. A city is planning to implement a bike-sharing program to encourage sustainable transportation and reduce traffic congestion. The initial investment includes purchasing 1,000 bicycles at a cost of $300 each, installing 100 docking stations at a cost of $10,000 each, and setting up a mobile app and payment system for $50,000. Estimate the annual operating expenses, including bicycle maintenance at $100 per bike per year, station maintenance at $1,000 per station per year, and customer support staff salaries totaling $150,000 per year. Also, calculate the break-even point in terms of user fees, assuming a flat fee of $2 per ride.\n"} {"instruction": "A chat. A group of people consists of engineers, doctors, and teachers. There are twice as many engineers as doctors, and three times as many teachers as engineers. What is the smallest possible size of the group? Provide your thought process."} {"instruction": "A chat. Tom has more apples than Jerry. Jerry has fewer apples than Sally. Does Tom have more apples than Sally?"} {"instruction": "A chat. A film production company is working on a historical drama with a budget of $60 million. They need to allocate funds for various aspects of the movie, such as cast salaries, set design, costumes, special effects, and marketing. Some scenes require expensive location shoots, while others can be filmed on studio sets. Develop a strategy for allocating the budget across different elements of the production to create a successful film.\n"} {"instruction": "A chat. A large music festival is planning its budget for next year's event. They expect to sell 20,000 tickets at an average price of $150 each. In addition to ticket sales, they anticipate earning $500,000 in sponsorship revenue. The festival will have four stages with live performances, food vendors, and various attractions. The total cost of booking artists is estimated at $1 million, while stage setup and production costs are expected to be $200,000 per stage. Food vendor fees will contribute another $300,000 in expenses. Calculate the festival's projected profit or loss and suggest ways to optimize their budget.\n"} {"instruction": "A chat. A farmer has ducks and cows on his farm. He knows that he has a total of 40 heads and 100 legs among all his animals. How many ducks does the farmer have?"} {"instruction": "A chat. There are two sisters, Alice and Beth. Alice is older than Beth. Beth's brother Charlie is younger than Alice but older than Beth. Who is the youngest sibling?"} {"instruction": "A chat. In a room, there are 10 people, including you. Each person knows the secret of the person standing next to them but not their own secret. If someone tells you that at least one person in the room has the same secret as you, how many people have your secret?"} {"instruction": "A chat. Four friends want to cross a bridge at night. They have only one flashlight, and the bridge is too dangerous to cross without it. The bridge can hold a maximum of two people at a time. The friends take different amounts of time to cross the bridge: Alex takes 1 minute, Bob takes 2 minutes, Carol takes 5 minutes, and Dave takes 10 minutes. When two people cross the bridge together, they must go at the slower person's pace. What is the minimum amount of time it will take for all four friends to safely cross the bridge?"} {"instruction": "A chat. A large hospital wants to optimize its patient-to-nurse ratio in order to improve patient care. Currently, there are 1,000 patients admitted to the hospital, with a 1:5 nurse-to-patient ratio. Research suggests that a 1:4 ratio would significantly improve patient outcomes. Calculate the additional number of nurses needed to achieve this optimal ratio, as well as the annual salary cost increase, considering an average nurse's salary of $70,000 per year.\n"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 mph. The distance between the two towns is 180 miles. After reaching Town B, the train immediately returns to Town A but this time at a speed of 90 mph. What is the average speed of the train during the entire round trip?"} {"instruction": "A chat. A construction company is building a new residential complex consisting of 500 apartment units. Each unit requires 5 doors, including the main entrance door, bedroom doors, and bathroom doors. The company needs to decide between purchasing solid wood doors at $250 each or composite doors at $150 each. However, the solid wood doors are expected to last twice as long as the composite doors. Determine which type of door would be more cost-effective for the project, considering both the initial investment and potential replacement costs over a 20-year period.\n"} {"instruction": "A chat. A box contains 4 red balls, 3 blue balls, and 2 green balls. What is the probability of drawing two balls without replacement such that both balls are the same color?"} {"instruction": "A chat. If all squares are rectangles, but not all rectangles are squares, can we say that all rectangles are quadrilaterals?"} {"instruction": "A chat. How many possible unique 5-card hands can be dealt from a standard 52-card deck?"} {"instruction": "A chat. In a class of 25 students, 10 are enrolled in Math and 8 are enrolled in Science. If 5 students are enrolled in both Math and Science, how many students are not enrolled in either subject? Explain your thought process."} {"instruction": "A chat. If a car can travel 350 miles on a full tank of gas, how many gallons of gas does the car consume per mile if the tank holds 14 gallons?"} {"instruction": "A chat. If a committee consists of 5 men and 7 women, how many ways can a subcommittee of 6 people be formed if it must include at least 3 women?"} {"instruction": "A chat. If a plane crashes exactly on the border between two countries, where do they bury the survivors?"} {"instruction": "A chat. A factory produces 250 units of a product every day. If each unit sells for $35 and the production cost per unit is $20, what is the total profit after 30 days?"} {"instruction": "A chat. In a city with a population of 200,000 people, it is estimated that 60% own cars. If each car owner has an average of 1.5 cars, how many cars are there in the city?"} {"instruction": "A chat. A hotel chain plans to build a new resort on a beachfront property. The resort will have 150 rooms, with an average size of 400 square feet per room. Calculate the total built-up area required for the resort, considering additional facilities like a restaurant, spa, gym, and conference rooms that occupy 30% of the total area. Also, estimate the number of staff members needed to maintain a 1:10 staff-to-guest ratio during peak occupancy.\n"} {"instruction": "A chat. A store sells three types of items: Item A, Item B, and Item C. The profit margin on each item is as follows: Item A has a 30% profit margin, Item B has a 40% profit margin, and Item C has a 50% profit margin. If the store sells 100 units of Item A at $20 each, 80 units of Item B at $25 each, and 60 units of Item C at $30 each, what is the total profit earned from selling all these items?"} {"instruction": "A chat. You have a book with 1000 pages. You open the book randomly and notice that the sum of the page numbers on the two facing pages is 2020. What are those page numbers? Show your steps."} {"instruction": "A chat. A baker uses 3 eggs to make 2 cakes. How many eggs will she need to make 50 cakes? Provide step-by-step logic."} {"instruction": "A chat. There are 10 cats in a room. Each cat has 4 legs and 2 eyes. How many legs do the cats have altogether?"} {"instruction": "A chat. A box contains 20 chocolates. There are twice as many milk chocolates as dark chocolates, and the rest are white chocolates. How many white chocolates are in the box?"} {"instruction": "A chat. If it takes 6 workers 8 hours to build a wall, how long would it take 12 workers to build the same wall, assuming all workers work at the same pace?"} {"instruction": "A chat. If a plane flies at an average speed of 500 mph for 7 hours and then increases its speed to 600 mph for another 5 hours, how far will it have traveled in total?"} {"instruction": "A chat. If there are 8 ounces in a cup and you have a container that holds 5 cups of water, how many ounces of water does the container hold?"} {"instruction": "A chat. A bag contains 4 red balls, 3 blue balls, and 2 green balls. What is the probability of drawing two balls without replacement and both being red?"} {"instruction": "A chat. In a family of six siblings, there are four boys and two girls. Each boy has twice as many sisters as brothers, while each girl has three times as many brothers as sisters. How many older siblings does the youngest sibling have?"} {"instruction": "A chat. ((8 - 3)^2 * (1/4) + 5) / 3 ="} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes the train 2 hours to travel from station A to station B. If the train makes a stop for 30 minutes at station C, which is halfway between stations A and B, how long does it take for the train to travel from station A to station B, including the stop?"} {"instruction": "A chat. John wants to distribute 10 identical candies to his three kids. He wants to give at least one candy to each kid. How many ways can he do this? Show your work."} {"instruction": "A chat. A sequence follows the rule: the nth term is equal to the sum of all previous terms minus n. If the first term is 3, what is the 6th term in the sequence?"} {"instruction": "A chat. There are 25 students in a class. Each student has a different number of pencils, ranging from 1 pencil to 25 pencils. What is the total number of pencils in the class?"} {"instruction": "A chat. An amusem*nt park is considering adding a new roller coaster to attract more visitors. The park currently has five roller coasters, each with different capacities and ride durations. The new roller coaster would have a capacity of 24 passengers per ride and take 2 minutes to complete. The park expects that the addition of the new roller coaster will increase overall attendance by 10%, but it also needs to account for increased wait times and maintenance costs. Develop a plan for integrating the new roller coaster into the park's operations, taking into consideration factors such as staffing, queue management, and safety inspections.\n"} {"instruction": "A chat. A hotel chain wants to expand its presence in a popular tourist destination. The city currently has 20 hotels, with a combined capacity of 5,000 rooms. The average occupancy rate during peak season is 85%. Determine how many additional rooms the hotel chain should add to meet the expected demand over the next five years, taking into account projected growth in tourism and potential competition from other hotel chains.\n"} {"instruction": "A chat. A rectangular garden measures 30 feet by 40 feet. If you want to build a fence around the entire garden with an additional gate that is 5 feet wide, how many feet of fencing will you need?"} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. If the sum of the house numbers on the left side of the street is equal to the sum of the house numbers on the right side of the street, how many houses are on each side of the street?"} {"instruction": "A chat. If a factory produces 1500 units of product A and 2000 units of product B in one week, how many more units of product B does the factory need to produce in order to have an equal number of both products after 4 weeks?"} {"instruction": "A chat. In a group of 50 people, 30 like chocolate ice cream, 25 like vanilla ice cream, and 10 like both chocolate and vanilla. How many people don't like either flavor?"} {"instruction": "A chat. In a room full of people, there is a 99% chance that at least two people share the same birthday. How many people must be in the room for this probability to hold true?"} {"instruction": "A chat. A bag contains 4 red balls, 3 blue balls, and 5 green balls. If you randomly pick one ball from the bag without looking, what is the probability that it will be either red or blue?"} {"instruction": "A chat. ((4^2 - 3 * 2)^2 / 2) + 10 * 3 - 5 ="} {"instruction": "A chat. A car travels 120 km in 2 hours. For the first hour, it travels at a constant speed of 40 km/h. What was its speed during the second hour?"} {"instruction": "A chat. In an election, Candidate A received 12,500 votes, while Candidate B received 9,750 votes. What percentage of the total votes did each candidate receive?"} {"instruction": "A chat. If there are 60 seconds in a minute and 3,600 seconds in an hour, how many minutes are there in 4 hours?"} {"instruction": "A chat. If you stack 1 million sheets of paper, how tall will the stack be in feet?"} {"instruction": "A chat. In a population of rabbits, the number of rabbits doubles every month. If there are initially 50 rabbits, how many rabbits will there be after 6 months? Show your work.\n"} {"instruction": "A chat. In a small town, there are 20 houses on one side of the street and 30 houses on the other side. If every house has at least one dog and no more than three dogs, what is the minimum number of dogs in the town?"} {"instruction": "A chat. In a town, 60% of the population is male, and 40% is female. Among the males, 30% are left-handed, while among the females, 20% are left-handed. What percentage of the total population is left-handed?"} {"instruction": "A chat. A company produces 1000 units of a product per day. Due to increased demand, they decide to increase production by 10% each day for the next week (7 days). How many units will they produce on the seventh day?"} {"instruction": "A chat. A city is planning to construct a new sports complex that includes a soccer field, basketball courts, and a swimming pool. The total area of the land allocated for the project is 100,000 square feet. The soccer field requires at least 50,000 square feet, while each basketball court needs 5,000 square feet, and the swimming pool requires 20,000 square feet. Additionally, there should be enough space left for parking and landscaping. Determine how many basketball courts can be built in this sports complex, considering all requirements, and provide step-by-step reasoning.\n"} {"instruction": "A chat. A farmer has a rectangular field with a perimeter of 80 meters. The length is twice the width. What is the area of the field?"} {"instruction": "A chat. Determine the critical points of the function g(x) = x^4 - 8x^2 + 16 and classify them as local maxima, minima, or saddle points."} {"instruction": "A chat. If a restaurant serves 150 customers per day and each customer orders an average of 1.5 dishes, how many total dishes does the restaurant serve in a week?"} {"instruction": "A chat. In a class of 25 students, 15 students play basketball, 17 students play soccer, and 10 students play both sports. How many students don't play either sport? Show your reasoning."} {"instruction": "A chat. In a class of 40 students, 60% prefer chocolate ice cream, while the rest prefer vanilla ice cream. If the school cafeteria has only 18 servings of chocolate ice cream available, what percentage of the students who prefer chocolate will not get their preferred flavor?"} {"instruction": "A chat. Calculate the volume of a cylinder with a radius of 5 cm and a height of 10 cm. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A factory produces cars and trucks. Each car has 4 wheels, and each truck has 6 wheels. If the factory produces a total of 100 vehicles with 480 wheels, how many cars did the factory produce?"} {"instruction": "A chat. Three friends go to a restaurant and order two pizzas. One pizza has 8 slices, and the other has 10 slices. They decide to eat all the pizza slices by taking turns, starting with the first friend, then the second, and finally the third. If they continue this pattern, who will eat the last slice of pizza?"} {"instruction": "A chat. A company has a monthly expense of $12,000 for employee salaries and $8,000 for office rent and utilities. If they generate $35,000 in revenue each month, what is their profit margin as a percentage?"} {"instruction": "A chat. If you were to stack $100 bills to reach the height of Mount Everest, how much money would be in the stack?"} {"instruction": "A chat. A factory produces 200 units of product A every day. On weekends, the production is reduced by 50%. If today is Monday, how many units will be produced in the next 10 days?"} {"instruction": "A chat. If every cat has 4 legs and every dog has 4 legs, and there are 12 cats and dogs combined with a total of 44 legs, how many dogs are there?"} {"instruction": "A chat. In a small town, there are 3 barbers. The first barber has a clean shop and a nice haircut. The second barber has a messy shop but also has a nice haircut. The third barber has a clean shop but a terrible haircut. If you want to get the best haircut possible, which barber should you go to?"} {"instruction": "A chat. John has twice as many marbles as Sam. Together they have 45 marbles. How many marbles does each person have? Show your calculations."} {"instruction": "A chat. A cow gives 25 liters of milk every day. How much milk does it give in a leap year? Please explain your logic."} {"instruction": "A chat. Calculate the volume of a cylinder with a radius of 5 cm and a height of 10 cm."} {"instruction": "A chat. A train travels at a constant speed for 100 miles. For the first 50 miles, it travels at a speed of 25 miles per hour. How fast does it need to travel for the remaining 50 miles in order to have an average speed of 50 miles per hour for the entire trip?"} {"instruction": "A chat. In a group of people, there are 4 doctors and 3 lawyers. Each doctor shakes hands with every lawyer exactly once, but the lawyers do not shake hands with each other. How many handshakes occur?"} {"instruction": "A chat. A cruise ship company wants to design a new vessel capable of accommodating 5,000 passengers and 2,000 crew members. Calculate the amount of fresh water storage required for a two-week voyage, considering daily consumption for drinking, cooking, cleaning, and other onboard activities. Also, estimate the necessary fuel capacity and engine power to maintain an average cruising speed of 20 knots. Provide step-by-step reasoning.\n"} {"instruction": "A chat. If you flip a coin 100 times, how many times will it land on its edge?"} {"instruction": "A chat. In a town, 60% of the population are adults, and 40% are children. Out of the adult population, 30% have blue eyes. What percentage of the entire town's population has blue eyes?"} {"instruction": "A chat. If there are approximately 8 million people living in New York City and each person generates an average of 4.5 pounds of trash per day, how many pounds of trash does New York City generate in one week?"} {"instruction": "A chat. In a village, there are 100 houses. Every house has a dog and every dog chases exactly one cat. Each cat is chased by exactly two dogs. How many cats are in the village?"} {"instruction": "A chat. There are approximately 8 million lightning strikes on Earth every day. How many lightning strikes occur in one week?"} {"instruction": "A chat. Three friends - Alice, Bob, and Carol - are playing a game. Alice has 3 times as many points as Bob, while Carol has half the number of points that Bob has. If they have a combined total of 72 points, how many points does each person have?"} {"instruction": "A chat. Solve: (4x^2 - 9) / (2x - 3) = 0"} {"instruction": "A chat. In a certain country, the population is growing at a rate of 3% per year. If the current population is 5 million people, how many people will there be in this country after 10 years?"} {"instruction": "A chat. There are three people - Alice, Bob, and Carol. Alice always tells the truth, Bob always lies, and Carol sometimes tells the truth and sometimes lies. You ask each person who among them is Carol. Alice says \"Bob is Carol,\" Bob says \"I am Carol,\" and Carol says \"Alice is Carol.\" Who is Carol?"} {"instruction": "A chat. A store sells a product for $200. If they want to offer a discount such that the final price is $150, what percentage discount should they apply?"} {"instruction": "A chat. If you drive at an average speed of 60 mph for 3 hours, how far have you traveled in kilometers?"} {"instruction": "A chat. A farmer has 15 cows, 12 pigs, and 9 chickens. If he sells half of his cows, a third of his pigs, and a quarter of his chickens, how many animals does he have left?"} {"instruction": "A chat. A train travels at a constant speed between two cities, City A and City B. The distance between the cities is 300 miles. If it takes the train 6 hours to travel from City A to City B, how long will it take for the train to travel halfway back to City A from City B?"} {"instruction": "A chat. A construction company has been contracted to build a network of tunnels connecting major cities. Each tunnel segment is 50 miles long and takes 6 months to complete. The company has 10 tunnel boring machines (TBMs), each capable of excavating one mile per month. Calculate the time it would take to complete a 500-mile tunnel network and determine the number of additional TBMs needed to finish the project within 5 years. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a chess tournament, there are initially 64 players. After each round, half of the players are eliminated. How many rounds must be played to determine the winner?"} {"instruction": "A chat. If a company's revenue increases by 5% each year, how much will the revenue be after 6 years if it started at $100,000?"} {"instruction": "A chat. A factory produces 250 units of product A and 350 units of product B daily. Product A requires 2 hours of labor per unit, while product B requires 3 hours of labor per unit. How many total hours of labor does the factory require for production in a week?"} {"instruction": "A chat. A factory produces 200 widgets per day. Each widget is tested for quality, and on average, 5% of the widgets fail the test. How many widgets pass the test in a week (7 days)?"} {"instruction": "A chat. A class consists of 15 boys and 10 girls. A committee of 6 students is to be formed. The committee should contain at least 1 boy and 1 girl. How many different committees can be formed? Explain your reasoning."} {"instruction": "A chat. A factory produces 500 units of product X every day. Each unit of product X requires 2 hours of labor. If there are 20 workers at the factory, how many days will it take for the workers to produce 10,000 units of product X?"} {"instruction": "A chat. Analyze the stability of a complex system, such as a power grid or ecological community, using principles from chaos theory and nonlinear dynamics. Explain your approach and any conclusions drawn."} {"instruction": "A chat. There are 8 people in a room, including Mary and John. Half of them wear glasses, and half of them don't. Among those who wear glasses, two-thirds are women. Among those who don't wear glasses, three-quarters are men. How many women are in the room?"} {"instruction": "A chat. At a party, there are 10 people who like chocolate ice cream, 8 people who like vanilla ice cream, and 7 people who like strawberry ice cream. If two people are selected at random, what is the probability that both of them like the same flavor of ice cream?"} {"instruction": "A chat. In a city with a population of 500,000 people, 60% are adults, and 20% of these adults have college degrees. How many adults in the city have college degrees?"} {"instruction": "A chat. Calculate the surface area of a cylinder with height 10 and radius 3."} {"instruction": "A chat. A hotel chain is considering opening a new location in a popular tourist destination. The proposed site has enough land to build a hotel with up to 150 rooms. The company's market research indicates that they should expect an average occupancy rate of 70% throughout the year. Calculate the expected annual revenue for the hotel if room rates are set at $150 per night and determine how many years it will take to recover an initial investment of $20 million, assuming fixed operating costs of $5 million per year.\n"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 15 meters. If you want to build a fence around the entire garden, how many meters of fencing will you need?"} {"instruction": "A chat. A telecommunications company wants to upgrade its network infrastructure to improve coverage and data speeds. The company has identified three potential technologies: Technology A requires an initial investment of $20 million and annual maintenance costs of $2 million; Technology B requires an initial investment of $15 million and annual maintenance costs of $3 million; and Technology C requires an initial investment of $25 million and annual maintenance costs of $1 million. Compare the total costs of each technology over a period of 10 years and recommend the most cost-effective option.\n"} {"instruction": "A chat. A restaurant chain wants to expand its operations by opening 25 new locations over the next three years. Each location will require an initial investment of $1 million for construction, equipment, and staff training. Additionally, the annual operating costs for each location are estimated at $500,000. Calculate the total investment required for this expansion plan, as well as the expected annual operating costs once all 25 locations are open. Explain your reasoning.\n"} {"instruction": "A chat. A company has an annual revenue of $2 million and spends 60% on production costs, 20% on marketing, and 10% on salaries. What is the company's net income after accounting for these expenses?"} {"instruction": "A chat. A store has a discount sale where all items are marked down by 25%. If an item originally costs $80, what will be its final price after applying a further 10% discount at the checkout?"} {"instruction": "A chat. A library has a reading challenge where children earn points for each book they read. For each picture book, they earn 2 points. For each chapter book, they earn 5 points. At the end of the month, the library reports that the children read a total of 400 books and earned 1300 points. How many picture books and how many chapter books did they read? Show your reasoning."} {"instruction": "A chat. The Earth orbits around the Sun at an average distance of 93 million miles. How many times would you have to travel around the Earth's equator to cover this distance if the Earth's circumference is approximately 24,901 miles?"} {"instruction": "A chat. If there are 8 billion people in the world and each person has an average of 5,000 thoughts per day, how many total thoughts do humans have in a week? Show your reasoning."} {"instruction": "A chat. In a village, there are 10 houses in a row. Each house has the same number of apples as its house number (e.g., House 1 has 1 apple, House 2 has 2 apples, and so on). A thief steals some apples from each house but leaves at least one apple behind in every house. The total number of stolen apples is 35. From which houses did the thief steal more than one apple?"} {"instruction": "A chat. A telecommunications company is planning to upgrade its network infrastructure to support increased data usage by customers. The upgrade requires installing 500 new cell towers at a cost of $100,000 per tower. The company expects that the upgraded network will attract 200,000 new subscribers, generating an additional $25 per subscriber per month in revenue. Calculate the payback period for the network upgrade investment, considering only the additional revenue generated by new subscribers. Explain your calculations."} {"instruction": "A chat. A factory produces 1200 units of product A and 800 units of product B every day. Product A requires 3 hours of labor per unit, while product B requires 2 hours of labor per unit. If the factory operates for 10 hours a day with 50 workers, are they able to meet this production target?"} {"instruction": "A chat. A person invests $10,000 in a savings account with an annual interest rate of 3%. If they do not make any additional deposits or withdrawals, how much money will be in the account after five years?"} {"instruction": "A chat. If it takes 6 people to build a house in 12 days, how long will it take for 3 people to build the same house?"} {"instruction": "A chat. If there are 8 billion people in the world and each person has an average of 2.3 children, how many grandchildren does the average person have? Reason step-by-step."} {"instruction": "A chat. A man buys a car for $20,000 and sells it after two years for $15,000. He then buys another car for $25,000 and sells it after another two years for $20,000. What is his net loss or gain on both transactions?"} {"instruction": "A chat. An ant starts at the bottom left corner of a 6x6 grid. It wants to reach the top right corner. However, it can only move right or up. How many different paths can the ant take to reach its destination? Show your work."} {"instruction": "A chat. A factory produces 250 widgets per day. If each widget sells for $12, what is the total revenue generated by selling all the widgets produced in one month (assume 30 days)?"} {"instruction": "A chat. A train travels between two cities every 20 minutes. If the train starts running at 6:00 AM and stops at 10:00 PM, how many trips does it make in one day?"} {"instruction": "A chat. If a plane flies at an average speed of 500 miles per hour and takes off at 9:00 AM, what time will it arrive at its destination if it has to travel 1,750 miles?"} {"instruction": "A chat. A factory produces widgets at a rate of 150 per hour. However, due to quality control issues, 5% of the widgets produced are defective and need to be discarded. How many non-defective widgets will the factory produce in an 8-hour workday?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed of 60 miles per hour. Halfway through the journey, the train stops for 30 minutes due to a technical issue. After the stop, the train continues its journey at a constant speed of 80 miles per hour. What was the average speed of the entire trip?"} {"instruction": "A chat. In a room, there are 5 people who have an average age of 30 years. A sixth person enters the room, and now the average age is 32 years. How old is the sixth person?"} {"instruction": "A chat. A group of friends decide to split the cost of a gift equally among themselves. If the gift costs $120 and there are 8 friends in the group, how much will each friend contribute?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes the train 3 hours to travel from Town A to Town B. After a 30-minute stop in Town B, the train continues its journey to Town C, which is twice as far away from Town B as Town A was. How long does the entire trip take, including the stop in Town B?"} {"instruction": "A chat. An airline company wants to optimize its flight schedules between two major cities. Currently, they operate 15 flights per day, with an average capacity of 200 passengers per flight. They want to increase their daily passenger capacity by 25% without increasing the number of flights. Calculate the required capacity per flight to achieve this goal, and determine the type of aircraft needed based on available options: small (150 passengers), medium (250 passengers), or large (350 passengers).\n"} {"instruction": "A chat. A train travels at a constant speed of 60 km/h. It takes the train 2 hours to travel from station A to station B. After a 30-minute break at station B, it continues its journey to station C, which is twice as far as the distance between stations A and B. How long does it take for the train to travel from station A to station C, including the break?"} {"instruction": "A chat. It takes 8 men 10 hours to build a wall. How long would it take 4 men to build the same wall? Explain your thought process."} {"instruction": "A chat. A farmer has 50 hens. Each hen lays 6 eggs per week. How many eggs does the farmer collect in a month (assume a month has 4 weeks)? Show your work."} {"instruction": "A chat. In a town, there are 3 doctors. Each doctor has 4 patients who visit them every week. One day, the mayor announces that each patient must now see two different doctors per week. How many new appointments will be created?"} {"instruction": "A chat. In a small town, there are 5 barbers. Each barber has a different number of customers. The most popular barber has twice as many customers as the second most popular barber. If the total number of customers is 124, how many customers does the least popular barber have?"} {"instruction": "A chat. Evaluate the expression (6^2 / 3) * (5 - 2)^3."} {"instruction": "A chat. A car rental company charges a flat fee of $20 per day for renting a car, plus an additional 15 cents per mile driven. If a customer rents a car for 3 days and drives it for 120 miles, how much will they be charged?"} {"instruction": "A chat. A store sells pencils in packs of 12 and individual pencils. John bought 7 packs and 8 individual pencils. How many pencils did he buy in total? Show your work."} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B every day. If each unit of product A weighs 10 pounds and each unit of product B weighs 15 pounds, what is the total weight of products produced in a week?"} {"instruction": "A chat. A city is planning to construct a new sports complex that includes a soccer field, basketball courts, and a swimming pool. The total budget for the project is $5 million. The construction costs are as follows: $2 million for the soccer field, $1.5 million for the basketball courts, and $3 million for the swimming pool. However, the city can apply for a federal grant that will cover 50% of the cost of one facility. Determine which facility should receive the grant in order to maximize the use of the budget, and calculate the final cost for each facility after applying the grant.\n"} {"instruction": "A chat. In a certain city, there are 5000 households. The average annual electricity consumption per household is 12,000 kWh. If the cost of electricity is $0.15 per kWh, what is the total annual expenditure on electricity by all households in the city?"} {"instruction": "A chat. In a small town, there are 10 houses on one side of the street and 15 houses on the other side. Each house has a different number of people living in it. If you add up all the people from both sides of the street, there are 100 people in total. On average, how many more people live in each house on the side with 15 houses compared to the side with 10 houses?"} {"instruction": "A chat. If a train travels at a constant speed of 60 miles per hour and it takes 4 hours to reach its destination, how long would it take for the same train to travel twice the distance at half the speed?"} {"instruction": "A chat. In a group of people, 60% have brown eyes, and 40% have green eyes. If three people are selected at random, what is the probability that all three will have green eyes?"} {"instruction": "A chat. There are 25 students in a class, including John and Jane. If every student has a different number of pencils ranging from 1 to 25, and John has 10 pencils while Jane has 20, what is the total number of pencils in the class?"} {"instruction": "A chat. A construction company is building a new residential complex consisting of 10 apartment buildings, each with 20 floors and 4 apartments per floor. Each apartment will have an average area of 1,500 square feet. Calculate the total area of all the apartments in the complex, as well as the amount of paint needed to cover the walls, assuming one gallon of paint covers 350 square feet and each wall requires two coats. Additionally, determine the number of elevators needed for the entire complex, considering that each elevator can hold up to 8 people or 1,200 pounds and should be able to accommodate the peak traffic during morning and evening rush hours.\n"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes the train 2 hours to travel between two cities. After stopping in the second city for 1 hour, it returns to the first city at a constant speed of 80 miles per hour. What is the average speed of the train for the entire round trip?"} {"instruction": "A chat. If a cyclist covers a distance of 150 miles in 5 hours, what is their average speed in kilometers per hour?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed of 60 miles per hour. Halfway between City A and City B, the train stops for 30 minutes due to a technical issue. What is the average speed of the train for the entire journey if the distance between City A and City B is 120 miles?"} {"instruction": "A chat. Two cars start at the same point and drive in opposite directions. Car A travels at a constant speed of 40 miles per hour, while Car B travels at a constant speed of 60 miles per hour. How far apart will the cars be after 2 hours?"} {"instruction": "A chat. In a town, there are 100 houses. If the first house is blue, and every third house after that is also blue, how many blue houses are there in total?"} {"instruction": "A chat. In a game, Tom scores twice as many points as Jerry. If the total score is 90 and Jerry scored 30 points, did Tom win the game? Justify your answer."} {"instruction": "A chat. A group of people consists of 15 men and 10 women. If we randomly select 6 people from the group, what is the probability that there will be an equal number of men and women among those selected? Explain your thought process."} {"instruction": "A chat. The human body contains about 60% water. If a person weighs 70 kg, how much of their weight is due to water? Explain step-by-step."} {"instruction": "A chat. A large hotel chain is planning to renovate its properties over the next three years. They have a total of 100 hotels, each with an average of 200 rooms. The renovation costs are estimated at $10,000 per room, including materials and labor. The company has an annual budget of $50 million for renovations. Calculate how many hotels can be renovated each year within the budget constraints and determine if the company can complete the renovations within the planned timeframe.\n"} {"instruction": "A chat. A factory produces two types of products: Product A and Product B. In one hour, the factory can produce 5 units of Product A or 3 units of Product B. If the factory operates for 8 hours a day and needs to produce at least 30 units of each product daily, what is the minimum number of days required to meet this production target?"} {"instruction": "A chat. If a bacteria colony doubles in size every 20 minutes, how many times larger will it be after 5 hours?"} {"instruction": "A chat. A factory produces 500 units of product A in 8 hours. How long will it take to produce 750 units of product A?"} {"instruction": "A chat. There are 50 people in a room. Each person knows at least one other person in the room. What is the minimum number of handshakes that must occur for everyone to have shaken hands with someone they know?"} {"instruction": "A chat. How much does a gallon of water weigh in pounds?"} {"instruction": "A chat. There are 12 apples on a table. If you take away 7 apples, how many do you have?"} {"instruction": "A chat. A store sells packs of pencils, where each pack contains 12 pencils. The store receives a shipment of 500 packs of pencils. If 60% of these packs are sold in the first week, how many individual pencils remain unsold after the first week?"} {"instruction": "A chat. A city is planning to build a new public park that will include various recreational facilities such as playgrounds, sports courts, and picnic areas. The park will be built on a 50-acre plot of land, with 60% dedicated to green spaces, 30% for recreational facilities, and the remaining 10% for parking and other amenities. Calculate the total area allocated for each type of space within the park and provide step-by-step reasoning.\n"} {"instruction": "A chat. A snail starts climbing a 12-meter tree at a rate of 3 meters per day. At night, while resting, it slides down 2 meters. How many days will it take for the snail to reach the top of the tree?"} {"instruction": "A chat. A football team has 11 players. If there are 32 teams in the league, how many players are there in total in the league? Show your work."} {"instruction": "A chat. An airline company wants to optimize its flight schedules to minimize layover times for passengers connecting between two specific cities. The company operates three flights daily from City A to City B and four flights daily from City B to City C. Each flight has different departure and arrival times. Develop an optimal schedule considering the minimum layover time required for passengers to make their connections and describe your reasoning.\n"} {"instruction": "A chat. If it takes 8 workers 12 days to complete a job, how many days would it take for 16 workers to complete the same job?"} {"instruction": "A chat. A restaurant can seat 100 people at once. On a busy night, they turn over their tables 4 times. How many people did they serve that night?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 10 feet and a height of 12 feet. What is the volume of the tank in cubic feet? (Use \u03c0 \u2248 3.14)"} {"instruction": "A chat. If you flip a coin three times, what is the probability of getting heads all three times? Explain your thought process."} {"instruction": "A chat. A factory produces 500 units of product per day, with a defect rate of 2%. How many defective units can be expected to be produced in a month with 30 days?"} {"instruction": "A chat. A store sells three types of candies: A, B, and C. The price per pound of candy A is $4, candy B is $6, and candy C is $8. If a customer buys a total of 20 pounds of candy with a total cost of $120, and the amount of candy B purchased is twice the amount of candy A, how many pounds of each type of candy were bought?"} {"instruction": "A chat. A factory produces widgets at a rate of 200 per hour. Due to quality control measures, 5% of the produced widgets are rejected as defective. The factory operates for 8 hours a day, 5 days a week. How many non-defective widgets does the factory produce in a week?"} {"instruction": "A chat. If a cylindrical water tank has a diameter of 10 feet and a height of 20 feet, what is its volume in gallons? (Note: 1 cubic foot = 7.48 gallons)"} {"instruction": "A chat. If a rectangular room has an area of 300 square feet and its length is twice its width, what are the dimensions of the room?"} {"instruction": "A chat. In a town, 60% of the population are adults. Out of these adults, 25% have at least one child. If there are 12,000 people in the town, how many children are there?"} {"instruction": "A chat. What is the sum of all prime numbers between 30 and 50?"} {"instruction": "A chat. A cruise ship company wants to design a new luxury liner that can accommodate 3,000 passengers and 1,200 crew members. They need to determine the optimal number of cabins, dining facilities, entertainment venues, and other onboard services to ensure a comfortable experience for all guests. Provide a step-by-step plan for calculating space allocation, staffing requirements, and operational costs for this new vessel.\n"} {"instruction": "A chat. A company has 120 employees, and 30% of them are part-time workers. If the company wants to increase its number of full-time employees by 20%, how many new full-time employees should be hired?"} {"instruction": "A chat. A store sells two types of pens: blue and black. The ratio of blue pens to black pens is 3:7. If there are 120 pens in total, how many blue pens are there?"} {"instruction": "A chat. A company has a budget of $50,000 for employee salaries. They want to hire 5 employees with equal salaries. However, they also need to pay an employment tax of 10% on each salary. What will be the net salary of each employee?"} {"instruction": "A chat. In a family, there are two parents and four children. The father is twice as old as the mother was when the father was the age the mother is now. The sum of the ages of all six family members is 140 years. If the youngest child is 4 years old and the age difference between each child is 2 years, how old are the parents?"} {"instruction": "A chat. A factory produces two types of widgets: small and large. Each small widget weighs 5 pounds, and each large widget weighs 10 pounds. On Monday, the factory produced a total of 100 widgets with a combined weight of 750 pounds. How many small and large widgets were produced?"} {"instruction": "A chat. A box contains 10 black balls, 20 white balls, and 30 red balls. You need to draw out balls without looking until you get a pair of matching colors. What is the maximum number of balls you need to draw out to guarantee a matching pair?"} {"instruction": "A chat. If the sum of three consecutive odd integers is 99, what are the integers?"} {"instruction": "A chat. If a baker uses 2 eggs for each cake and he wants to bake 30 cakes, how many dozens of eggs does he need? Provide step-by-step logic."} {"instruction": "A chat. In a classroom, there are 4 rows of desks. Each row has 6 desks. How many desks are there in total? Explain your thought process."} {"instruction": "A chat. A factory produces 100 units of a product every day. Each unit is inspected by one of three inspectors. Inspector A inspects 40% of the units, Inspector B inspects 35%, and Inspector C inspects the remaining units. How many units does Inspector C inspect daily?"} {"instruction": "A chat. In a bag, there are 3 red balls, 4 blue balls, and 5 green balls. If you randomly pick one ball from the bag, what is the probability that it is not green?"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 12 meters. What is the area of the garden in square meters?"} {"instruction": "A chat. A company has an annual growth rate of 5%. If the company's revenue is $500,000 this year, what will be its approximate revenue in 4 years?"} {"instruction": "A chat. A certain type of bacteria doubles in population every 3 hours. If there are initially 1,000 bacteria present, how many will there be after 24 hours?"} {"instruction": "A chat. There are 4 houses in a row. The blue house is to the left of the red house, but not necessarily next to it. The green house is immediately to the right of the white house. If the first house on the left is white, which house is second from the right?"} {"instruction": "A chat. In a standard deck of playing cards, what is the probability of drawing an Ace or a King on your first draw?"} {"instruction": "A chat. Every day, a spider spins a web that uses 50 strands of silk. Each strand is 2 meters long. How many kilometers of silk does the spider use in a month (30 days)? Show your steps."} {"instruction": "A chat. If a car travels at an average speed of 60 miles per hour for 12 hours straight, how many times will its wheels rotate if each wheel has a diameter of 2 feet?"} {"instruction": "A chat. A university plans to upgrade its campus-wide Wi-Fi network to accommodate an increasing number of devices. The current network has 500 access points, each supporting up to 50 devices simultaneously. With a student population of 20,000 and an average of 3 devices per student, the university needs to ensure that at least 90% of devices can connect to the Wi-Fi network at any given time. Calculate the required number of additional access points needed to achieve this goal and provide step-by-step reasoning.\n"} {"instruction": "A chat. In a town, there are 3 doctors. Each doctor has 4 patients. Among the patients, each patient visits 2 of the 3 doctors. How many unique patients are there in total?"} {"instruction": "A chat. If you walk 5 miles north and then 12 miles east, how many birds will you see?"} {"instruction": "A chat. A rectangular room measures 12 feet by 15 feet. What is the area of the floor in square yards?"} {"instruction": "A chat. If it takes 24 hours for Earth to rotate once around its axis, how many degrees does it rotate every 15 minutes?"} {"instruction": "A chat. You are in a room with three light switches labeled A, B, and C. Each switch controls one of three light bulbs in another room. You cannot see the other room from where you are. You can only go into the other room once. How do you determine which switch controls each bulb?"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B every day. Product A requires 2 hours of labor per unit, while product B requires 3 hours of labor per unit. If the factory operates 8 hours a day with 50 workers, will they be able to produce this amount of products within a day?"} {"instruction": "A chat. In a class of 40 students, 25 students passed an exam with an average score of 80, while the remaining students failed with an average score of 50. What is the overall average score of the entire class?"} {"instruction": "A chat. If a store sells 1000 products and the price of each product is increased by 10%, how much more revenue will the store generate if all the products are sold at the new price?"} {"instruction": "A chat. A father has 5 sons, and each son has one sister. How many children does the father have in total?"} {"instruction": "A chat. In a class of 40 students, 18 students play basketball, 22 students play soccer, and 6 students play both sports. How many students do not play either sport?"} {"instruction": "A chat. If you drive at an average speed of 50 miles per hour for 2 hours and 30 minutes, how far will you travel?"} {"instruction": "A chat. A square garden is surrounded by a walkway that is 3 feet wide on all sides. If the area of the entire garden, including the walkway, is 289 square feet, what is the area of the garden without the walkway?"} {"instruction": "A chat. Billy had 20 pencils. He gave half of them to Sally, who then ate 3 bananas. How many pencils does Billy have left?"} {"instruction": "A chat. If a store has 2000 items and every day, it sells 2% of its remaining stock, how many items will be left after one week?"} {"instruction": "A chat. A car rental company charges a flat fee of $20 per day to rent a car, plus an additional 15 cents per mile driven. If Jane paid $65 for her one-day rental, how many miles did she drive?"} {"instruction": "A chat. Solve the differential equation dy/dx = xy with initial condition y(0) = 1."} {"instruction": "A chat. A zoo is planning to build a new exhibit for its collection of exotic birds. The exhibit will require an enclosed aviary with a minimum size of 10,000 square feet, as well as landscaping, walkways, and viewing areas for visitors. The construction cost for the aviary is $200 per square foot, while landscaping and other visitor amenities will cost an additional $100,000. Determine the total cost of building the new bird exhibit and explain your reasoning.\n"} {"instruction": "A chat. A restaurant serves 20 tables every hour. How many tables can it serve in a week assuming it operates 10 hours a day and 7 days a week? Show your work."} {"instruction": "A chat. Show that the set of all rational numbers is countable."} {"instruction": "A chat. There are 10 apples in a basket. You take away 5 apples. How many apples do you have?"} {"instruction": "A chat. You're running a race and pass the person in 2nd place. What place are you in now? Justify your answer."} {"instruction": "A chat. In a bag of marbles, there are 3 red marbles, 4 blue marbles, and 5 green marbles. If you randomly pick one marble from the bag and then put it back before picking another marble, what is the probability of picking a red marble followed by a blue marble?"} {"instruction": "A chat. A national park wants to implement a wildlife conservation program, focusing on protecting endangered species and preserving their habitats. The park covers 10,000 square kilometers and is home to 50 different mammal species, with varying population sizes and habitat requirements. Develop a prioritization strategy for allocating resources and efforts among the different species, considering factors such as vulnerability, ecological importance, and public awareness. Explain your approach in detail.\n"} {"instruction": "A chat. Tom and Jerry start at opposite ends of a straight road that is 100 meters long. They both start running towards each other at the same time. Tom runs at a speed of 5 meters per second, while Jerry runs at a speed of 3 meters per second. How far from Tom's starting point will they meet?"} {"instruction": "A chat. Determine the Nash equilibrium in a two-player game with payoff matrices A and B given by:\n A = | 3 1 |\n | 2 4 |\n B = | 1 2 |\n | 4 3 |\nExplain your reasoning.\n"} {"instruction": "A chat. Determine the limit as x approaches infinity of the function f(x) = (x^2 + 3x)/(2x^2 - x). Provide step-by-step reasoning.\n"} {"instruction": "A chat. A factory produces 250 widgets per hour. How many widgets will be produced in a week if the factory operates 16 hours per day and is closed on Sundays?"} {"instruction": "A chat. A box contains 4 red balls, 6 green balls, and 10 blue balls. If you randomly pick one ball from the box, what is the probability that it will be either a red or a green ball?"} {"instruction": "A chat. Solve the system of equations using substitution or elimination method: \n y = 2x - 3\n 3x + y = 7\n Provide step-by-step reasoning.\n"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 15 meters. What is the perimeter of the garden?"} {"instruction": "A chat. In a school with 800 students, 60% are enrolled in a sports program. Among those who participate in sports, 30% also take part in a music program. How many students are involved in both sports and music programs?"} {"instruction": "A chat. In a town, there are men, women, and children. The number of men is twice the number of women, and the number of children is three times the number of men. If the total population of the town is 6000, how many men, women, and children are there?"} {"instruction": "A chat. There are 12 birds sitting on a fence. A farmer shoots at the birds, and 4 of them fly away unharmed while 3 fall down dead. How many birds are left on the fence?"} {"instruction": "A chat. A group of people consists of 8 men and 12 women. In how many ways can a committee of 6 people be formed if it must have at least 2 women?"} {"instruction": "A chat. How much water is needed to fill a swimming pool with dimensions of 25 meters in length, 10 meters in width, and 2 meters in depth?"} {"instruction": "A chat. A car travels at an average speed of 60 miles per hour for 3 hours. How far does it travel? Explain your calculations.\n"} {"instruction": "A chat. There are 25 students in a class. The teacher gives them a test with 10 questions. Every student answers at least one question correctly. What is the maximum number of questions that can have been answered correctly by exactly 9 students?"} {"instruction": "A chat. A baker has 3 trays of cookies. Each tray can hold 12 cookies. If the baker fills all the trays with chocolate chip cookies and then removes 5 cookies from one tray, how many oatmeal cookies must he add to have an equal number of chocolate chip and oatmeal cookies?"} {"instruction": "A chat. A store sells apples in bags of 6 and oranges in bags of 4. If a customer buys 3 bags of apples and 2 bags of oranges, how many pieces of fruit does the customer have in total?"} {"instruction": "A chat. What is the probability of drawing two red balls from a bag containing 5 red balls, 3 blue balls, and 2 green balls without replacement?"} {"instruction": "A chat. If a rectangular box has a length of 6 cm, width of 4 cm, and height of 3 cm, what is the longest straight-line distance between any two points on the box?"} {"instruction": "A chat. In a group of 30 people, what is the probability that at least two people share the same birthday (ignoring leap years)?"} {"instruction": "A chat. A factory produces 200 units of product A and 300 units of product B in a day. Product A requires 2 hours of labor per unit, while product B requires 3 hours of labor per unit. If the factory operates for 10 hours a day with 50 workers, can they meet the daily production target?"} {"instruction": "A chat. In a certain city, the ratio of men to women is 7:5. If there are currently 36,000 people in the city, how many more men than women are there?"} {"instruction": "A chat. If f(x) = ln(x), find the Taylor series expansion of f(x) about x=1."} {"instruction": "A chat. In a village, there are 20 houses. Each house has either blue or red doors. If you count the number of houses with blue doors from left to right, you get 10. If you count the number of houses with red doors from right to left, you also get 10. How many houses have blue doors?"} {"instruction": "A chat. A restaurant sells hamburgers for $5 each and hot dogs for $3 each. If they sell a total of 100 items and make $400 in revenue, how many hamburgers and hot dogs did they sell?"} {"instruction": "A chat. In a classroom, there are 4 times as many girls as boys. If there are 25 students in total, how many boys are there in the class?"} {"instruction": "A chat. In how many ways can you arrange the letters of the word \"PROBABILITY\"?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. The train takes 5 hours to travel between two cities. How long does it take for a car traveling at 40 miles per hour to cover the same distance?"} {"instruction": "A chat. A factory produces 500 units of a product every day. Due to an increase in demand, they decide to increase their production by 25%. How many units will they produce daily after the increase?"} {"instruction": "A chat. There are 100 lockers in a hallway, all closed. A student walks down the hall and opens every locker. Then, a second student walks down the hall and closes every second locker. The third student changes the state of every third locker (if the locker is open, they close it; if it's closed, they open it). This continues with each student changing the state of lockers that are multiples of their own number. After 100 students have passed through the hallway, which lockers are left open? Please explain."} {"instruction": "A chat. Four friends went to a restaurant and ordered four different dishes. Each dish costs $12. They also ordered two bottles of water costing $2 each. If they decided to split the bill equally, how much should each friend pay?"} {"instruction": "A chat. Alice has more money than Bob. If Alice gives half of her money to Bob, Bob will have twice as much money as Alice. How much more money does Alice have compared to Bob initially?"} {"instruction": "A chat. How many miles does light travel in one day?"} {"instruction": "A chat. In a factory, Machine A can produce 30 units per hour, while Machine B can produce 20 units per hour. If both machines work together for 10 hours, how many total units will be produced?"} {"instruction": "A chat. If a factory produces 1200 units of product A in 8 hours, how many units will it produce in 30 days if it operates for 10 hours per day?"} {"instruction": "A chat. I have 23 grapes and give away 11 strawberries. How many oranges do I have left?"} {"instruction": "A chat. In a class of 30 students, there are twice as many girls as boys. If we randomly select two students from the class, what is the probability that both students selected will be girls?"} {"instruction": "A chat. A man has two children. One day, he tells you that at least one of them is a boy. What is the probability that both children are boys?"} {"instruction": "A chat. An e-commerce company wants to improve its delivery times by opening additional distribution centers in strategic locations. They currently have 5 distribution centers serving a customer base of 2 million people spread across various cities. To reduce delivery times by 25%, they need to increase the number of distribution centers by 40%. Calculate the total number of new distribution centers required and estimate the potential increase in operational costs associated with this expansion, assuming the current annual operating cost per center is $1 million. Describe your reasoning."} {"instruction": "A chat. A factory produces 500 units of product A every day. Each unit of product A requires 3 components B and 2 components C. If there are 4500 components B and 3000 components C available, how many days can the factory continue producing product A without running out of components?"} {"instruction": "A chat. There are 100 people at a party. If every person shakes hands with every other person exactly once, how many handshakes occur during the party?"} {"instruction": "A chat. A bakery sells cupcakes in boxes of 6. If they baked 120 cupcakes today, how many boxes were used? Show your work."} {"instruction": "A chat. In a small town, there are 20 houses on one side of the street and 15 houses on the other side. Every house has a red door except for three houses with blue doors. If two-thirds of the houses have dogs, how many houses with blue doors have dogs?"} {"instruction": "A chat. If a car rental company has 50 cars, and they are rented out at an average rate of 80% per day, how many cars will be available for rent after 3 days if no cars are returned during this period?"} {"instruction": "A chat. A group of friends wants to split the cost of a $300 hotel room evenly among themselves. If there are 6 people in the group, how much does each person have to pay?"} {"instruction": "A chat. A farmer has 100 meters of fencing material to enclose a rectangular field. What is the maximum area he can enclose with this amount of fencing?"} {"instruction": "A chat. If a factory produces 250 units of product A and 150 units of product B per day, how many days will it take to produce a total of 3,000 units?"} {"instruction": "A chat. If you had a stack of $100 bills totaling one million dollars, how tall would the stack be?"} {"instruction": "A chat. A school is planning a field trip that requires 4 buses. Each bus can hold 50 students. However, due to safety regulations, only 90% of the bus capacity can be used. How many students can go on the field trip?"} {"instruction": "A chat. If a factory produces 500 cars every month, how many cars does it produce in a year? Show your work."} {"instruction": "A chat. If a car rental company has 100 cars and rents them out at an average rate of $50 per day, how much revenue will they generate in one month if the average rental duration is 3 days and there are no additional fees?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 10 feet and a height of 12 feet. If it is filled with water up to 80% of its capacity, how many gallons of water does it contain? (Note: 1 cubic foot = 7.48 gallons)"} {"instruction": "A chat. A company sells its product at a price of $20 per unit. The variable cost per unit is $12 and the fixed costs are $2,000 per month. How many units must be sold in a month to break even?"} {"instruction": "A chat. In a town, every house has either a red or blue door. If there are twice as many houses with red doors as there are houses with blue doors, what percentage of the houses have blue doors?"} {"instruction": "A chat. There are five boxes and each box contains three balls. Each ball weighs 2 pounds. What is the total weight of all the balls?"} {"instruction": "A chat. A rectangle has a length of 12 meters and a width of 5 meters. What is the area of the rectangle, and what would be the new area if both dimensions were doubled?"} {"instruction": "A chat. A construction company needs to build a bridge across a river. The bridge must span 1000 feet and support a maximum load of 10,000 tons. The company has two options for materials: steel or concrete. Steel costs $150 per square foot and can support 250 pounds per square inch (psi), while concrete costs $100 per square foot and can support 200 psi. Determine which material would be more cost-effective for the project, taking into account both the cost and load-bearing capacity of each option. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A hospital wants to optimize its patient flow by reducing waiting times in the emergency department (ED). The ED currently sees an average of 250 patients per day, with an average waiting time of 90 minutes before being seen by a doctor. The hospital aims to reduce this waiting time to 60 minutes or less. They plan to hire additional doctors and nurses, who can each see 10 patients per hour. Determine how many more doctors and nurses are needed to achieve the desired waiting time reduction, and provide step-by-step reasoning.\n"} {"instruction": "A chat. A store offers a discount on a product such that the price is reduced by 20% each day. If the original price was $100, what would be the price after 5 days?"} {"instruction": "A chat. If a train travels at a constant speed of 80 kilometers per hour, how far will it travel in 2.5 hours?"} {"instruction": "A chat. A company sells 5 different products with the following probabilities of being purchased by a customer: Product A - 30%, Product B - 25%, Product C - 20%, Product D - 15%, and Product E - 10%. If a customer buys only one product, what is the probability that they purchase either Product B or Product D?"} {"instruction": "A chat. A cone-shaped paper cup has a diameter of 3 inches at the top and a height of 4 inches. What is the volume of liquid it can hold in fluid ounces, given that 1 cubic inch contains approximately 0.554 fluid ounces?"} {"instruction": "A chat. A sports league is organizing a national tournament with teams from 20 cities participating. The tournament will be held over four weekends, with each team playing one game per weekend. Each city's team needs to travel to the host city for their games, with an average distance of 500 miles between cities. Calculate the total number of miles traveled by all teams during the tournament, and estimate the cost of transportation, assuming an average price of $1 per mile for chartered buses. Additionally, calculate the total accommodation costs for the teams, considering that each team has 25 members and hotel rooms cost an average of $150 per night."} {"instruction": "A chat. In a deck of standard playing cards, there are four suits: hearts, diamonds, clubs, and spades. Each suit contains 13 cards, including one ace. If you draw two cards from the deck without replacement, what is the probability that both cards will be aces? Provide step-by-step logic."} {"instruction": "A chat. A factory produces 1500 units of product A and 2000 units of product B in one day. Product A requires 4 minutes of labor per unit, while product B requires 6 minutes of labor per unit. How many hours of labor are required for one day's production?"} {"instruction": "A chat. In a town, 1/3 of the people have dogs, and 2/5 of those with dogs also have cats. If there are 300 people in the town, how many people have both dogs and cats?"} {"instruction": "A chat. A sphere has a surface area of 100 square inches. What is the volume of this sphere? (Use the formula for surface area: A = 4\u03c0r^2 and the formula for volume: V = 4/3\u03c0r^3)"} {"instruction": "A chat. A train travels at an average speed of 80 kilometers per hour for 3 hours and then at an average speed of 60 kilometers per hour for another 4 hours. What is the total distance traveled by the train?"} {"instruction": "A chat. A rectangular garden has a length of 30 meters and a width of 20 meters. If a gardener wants to plant flowers along the perimeter of the garden with a spacing of 1 meter between each flower, how many flowers will be needed?"} {"instruction": "A chat. A hospital is evaluating the implementation of a telemedicine program to reduce patient wait times and improve overall efficiency. The program requires an initial investment of $2 million for equipment and training, and an additional $500,000 per year for ongoing maintenance and support. The hospital expects to save $1 million per year in reduced staff overtime and patient transportation costs. Calculate the net savings over a 5-year period and determine if the telemedicine program is worth implementing.\n"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 15 meters. If the owner wants to increase the area by 50%, how much should they extend the length or the width while keeping the other dimension unchanged?"} {"instruction": "A chat. An airline company wants to optimize its fleet management by determining the ideal number of aircraft to purchase for their long-haul routes. Each aircraft can carry up to 300 passengers and costs $150 million to purchase. The company operates 50 long-haul flights per day, with an average passenger load factor of 80%. The planes have a lifespan of 20 years, and maintenance costs are estimated at $1 million per year per plane. Calculate the optimal number of planes to purchase, considering the initial investment, annual maintenance costs, and expected revenue from ticket sales, assuming an average ticket price of $500.\n"} {"instruction": "A chat. A cruise ship company is designing a new luxury liner with a capacity of 5,000 passengers. The ship will have multiple dining options, including buffet-style restaurants, fine dining establishments, and casual eateries. The company wants to ensure there are enough seats in each dining area to accommodate passenger preferences at peak meal times. Using historical data on passenger dining habits, calculate the optimal seating capacity for each type of restaurant and provide a step-by-step reasoning.\n"} {"instruction": "A chat. A company sells t-shirts for $15 each. If they offer a 20% discount on all t-shirts during a sale, how much will each t-shirt cost after the discount?"} {"instruction": "A chat. If a shirt is on sale for 25% off its original price of $40, what is the final cost of the shirt after the discount? Explain your reasoning.\n"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. Halfway through the journey, it starts raining, causing the train to reduce its speed by 25%. As a result, the entire trip takes 20% longer than originally planned. What percentage of the journey was completed before it started raining?"} {"instruction": "A chat. A factory produces 1000 units of a product every day. The factory operates for 6 days a week and takes one day off. How many units does the factory produce in 4 weeks?"} {"instruction": "A chat. In a school, there are 4 classes with 25 students in each class. Each student has 5 textbooks. How many pages are there in total if each textbook has 200 pages?"} {"instruction": "A chat. A company has 500 employees. If 60% are male and 75% of the males have a college degree, what percentage of the total employees have a college degree?"} {"instruction": "A chat. A company has 10 employees, each with an annual salary of $50,000. If the company decides to give all employees a raise so that their combined salaries equal $600,000 per year, what will be the new average salary?"} {"instruction": "A chat. A factory produces 2000 widgets per hour and operates for 10 hours each day. How many widgets does the factory produce in a month with 30 days?"} {"instruction": "A chat. A group of people is playing a game where they sit in a circle. Each person starts with 3 cards. In each round, every player passes one card to the person on their left and receives one card from the person on their right. After three rounds, how many cards does each person have?"} {"instruction": "A chat. Evaluate the double integral \u222c(x^2 + y^2)dA over the region bounded by the circle x^2 + y^2 = 1."} {"instruction": "A chat. How many pieces of pizza can you eat if you start with 8 slices and give away 3 apples?"} {"instruction": "A chat. At a party, everyone shook hands exactly once with every other person. There were 66 handshakes in total. How many people were at the party? Detail your solution."} {"instruction": "A chat. If you flip a fair coin three times, what is the probability of getting heads on the first flip, tails on the second flip, and heads on the third flip?"} {"instruction": "A chat. A city is planning to build a new public park that will cover an area of 10 acres. The park will include walking paths, playgrounds, and picnic areas. The construction cost per acre is $50,000, with an additional $10,000 per acre for landscaping and amenities. Calculate the total cost of building the park, considering a 5% contingency budget for unforeseen expenses. Also, estimate the annual maintenance cost if it's expected to be 3% of the initial construction cost.\n"} {"instruction": "A chat. A national park wants to improve visitor experience by providing guided tours to popular attractions. The park covers an area of 1,000 square miles and receives 500,000 visitors annually. To offer guided tours, the park needs to hire and train tour guides. Each guide can lead a group of 15 visitors, and the average tour duration is 3 hours. Calculate the number of tour guides needed to accommodate all visitors, assuming that each guide works 8 hours per day and can conduct multiple tours during their shift. Also, estimate the annual budget required for hiring and training these tour guides.\n"} {"instruction": "A chat. If a farmer has 15 cows and each cow produces an average of 6 gallons of milk per day, how many gallons of milk will the farmer have after one week?"} {"instruction": "A chat. In an election, Candidate A received 55% of the total votes, Candidate B received 35%, and the remaining 10% were invalid. If there were a total of 20,000 votes cast, how many more votes did Candidate A receive than Candidate B?"} {"instruction": "A chat. Use the chain rule to find the derivative of the function y = (2x^3 - 5x^2 + 7x - 9)^4. Show your work.\n"} {"instruction": "A chat. A right triangle has one leg measuring 5 inches and a hypotenuse measuring 13 inches. What is the length of the other leg?"} {"instruction": "A chat. There are 100 houses on a street numbered from 1 to 100. How many houses have the number '9' appearing at least once in their house number?"} {"instruction": "A chat. A university plans to renovate its dormitories over the summer break. There are five dormitory buildings, each with four floors and 50 rooms per floor. The renovation budget is $5 million, with an allocation of 70% for room upgrades, 20% for common areas, and 10% for exterior improvements. Calculate the individual budgets for each category and determine the average amount available for upgrading each dorm room.\n"} {"instruction": "A chat. In an election with three candidates, candidate A received 45% of the votes, candidate B received 35%, and candidate C received the remaining votes. If there were a total of 20,000 votes cast, how many votes did candidate C receive?"} {"instruction": "A chat. A rectangular room has a length of 18 feet and a width of 12 feet. If you want to place square tiles on the floor without cutting any tiles, what is the largest size of each tile?"} {"instruction": "A chat. A group of people decide to split the cost of a $120 meal evenly among themselves. If each person contributes $15, how many people are in the group?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding new buses and expanding routes. The current fleet has 100 buses, each with a capacity of 50 passengers. The city aims to increase the total passenger capacity by 30% while maintaining an average occupancy rate of 80%. Calculate the number of additional buses needed and estimate the required expansion in route coverage, assuming that the expanded routes will have similar passenger demand as existing ones. Provide step-by-step reasoning.\n"} {"instruction": "A chat. If you have 50 oranges and divide them equally among 5 friends, how many grapes will each friend receive?"} {"instruction": "A chat. A factory produces 500 widgets per day. Each widget requires 2 screws and 3 bolts. If there are 2000 screws and 3000 bolts available in the inventory, how many days can the factory continue producing widgets before running out of either screws or bolts?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed. Halfway through the journey, it stops for 15 minutes due to a technical issue. After the stop, it continues at the same speed until it reaches City B. If the entire journey takes 2 hours and 15 minutes, how long would the journey have taken without the stop?"} {"instruction": "A chat. It takes 30 minutes to cook a pot of rice on the stove. How long will it take to cook three pots of rice?"} {"instruction": "A chat. There are 4 boxes, each containing a different number of apples. Box A has twice as many apples as Box B. Box C has half the number of apples in Box D. If there are a total of 48 apples, how many apples are in each box?"} {"instruction": "A chat. A sphere has a surface area of 100 square inches. What is the radius of the sphere?"} {"instruction": "A chat. A factory produces 1200 units of product A and 800 units of product B each day. Product A requires 2 hours of labor, while product B requires 3 hours of labor. How many total hours of labor are required for production each day?"} {"instruction": "A chat. A company has an annual budget of $12 million for salaries. If 60% of this budget goes towards management salaries and the remaining 40% goes towards employee salaries, how much money is allocated for each group?"} {"instruction": "A chat. In a school, there are 450 students, and the ratio of boys to girls is 3:2. How many boys and girls are there in the school?"} {"instruction": "A chat. A construction company is building a large residential complex consisting of 500 apartments. Each apartment has an area of 1000 square feet, and the cost of construction is $150 per square foot. The company also needs to build parking spaces for residents, with one space per apartment. Each parking space requires an additional 200 square feet and costs $50 per square foot. Calculate the total cost of constructing the residential complex and parking spaces. Additionally, estimate the selling price per apartment if the company wants to make a 20% profit.\n"} {"instruction": "A chat. A group of people is standing in a circle. Each person has a hat on their head, either red or blue. Every person can see the color of everyone else's hat but not their own. They must simultaneously call out \"red\" or \"blue,\" trying to guess the color of their own hat. If at least one person guesses correctly, they all win. Otherwise, they lose. What strategy should they use to maximize their chances of winning?"} {"instruction": "A chat. If a sequence follows the pattern x_n = 2x_(n-1) + 3 for n > 1, and x_1 = 1, what is the value of x_6?"} {"instruction": "A chat. How many diagonals does a regular octagon have?"} {"instruction": "A chat. A farmer has 12 cows and 8 goats. Each cow gives 15 liters of milk per day, while each goat gives 5 liters of milk per day. How much more milk does the farmer get from his cows than from his goats every day?"} {"instruction": "A chat. In a parking lot, there are 5 red cars, 3 blue cars, and 2 green cars. If you randomly pick two cars from the parking lot, what is the probability that both cars are red?"} {"instruction": "A chat. Find the limit as x approaches infinity of (x^2 + 3x) / (2x^2 - x), providing step-by-step reasoning.\n"} {"instruction": "A chat. In a class of 40 students, 18 play soccer, 20 play basketball, and 12 play both soccer and basketball. How many students don't play either sport?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. Halfway through the journey, it stops for 30 minutes due to a technical issue. After the stop, it continues at the same speed until it reaches Town B. If the entire journey takes 5 hours, how long did the train travel without stopping?"} {"instruction": "A chat. In a village, there are 100 houses. Each house has at least one pet, either a cat or a dog. There are 60 cats in the village and 40 dogs. If each cat lives with at least one dog, how many houses have both a cat and a dog?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 mph. The distance between the two towns is 180 miles. After reaching Town B, the train takes a 30-minute break before heading back to Town A at a constant speed of 90 mph. What is the average speed of the entire round trip?"} {"instruction": "A chat. If the sum of an arithmetic series with 10 terms is 235 and the first term is 7, what is the common difference?"} {"instruction": "A chat. A car rental company charges a flat fee of $25 per day plus an additional $0.15 per mile driven. If a customer has a budget of $100 for renting a car, how many miles can they drive before exceeding their budget? Explain your reasoning.\n"} {"instruction": "A chat. In a building, there are 10 floors. On each floor, there are 5 apartments. Each apartment has 4 rooms. How many rooms are on the third floor?"} {"instruction": "A chat. A construction company has been contracted to build a large shopping mall within two years. The project requires an estimated 200,000 hours of labor, with workers operating in 8-hour shifts. There are three categories of workers: skilled, semi-skilled, and unskilled, earning hourly wages of $30, $20, and $15, respectively. The company wants to maintain a ratio of 2:3:5 for skilled, semi-skilled, and unskilled workers. Determine the number of workers needed in each category and calculate the total labor cost for the project.\n"} {"instruction": "A chat. A construction company is bidding on a project to build a new bridge. The bridge will span 1,000 feet across a river and require 10,000 tons of steel and 20,000 cubic yards of concrete. Steel costs $200 per ton, and concrete costs $100 per cubic yard. Additionally, labor costs are estimated at $50,000 per month for the two-year duration of the project. Calculate the total cost of materials and labor for this project and provide a detailed breakdown of expenses.\n"} {"instruction": "A chat. You have 5 friends. You want to invite some of them over for dinner. How many different groups of friends could you potentially invite? Show your reasoning."} {"instruction": "A chat. A large supermarket chain wants to optimize its supply chain by building a centralized distribution center. The company operates 200 stores across the country, with an average distance of 150 miles between each store and the proposed distribution center location. Each store receives deliveries twice a week using trucks that can carry up to 25 tons of goods. Calculate the total weekly transportation cost, assuming fuel costs $3 per gallon, trucks have an average fuel efficiency of 6 miles per gallon, and drivers earn $20 per hour. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a group of people, 60% are wearing glasses, and 40% are not. Among those who wear glasses, 70% have brown hair, while among those who don't wear glasses, 30% have brown hair. What percentage of the entire group has brown hair?"} {"instruction": "A chat. In a group of 30 people, 18 have brown eyes, 10 have green eyes, and 2 have blue eyes. If you were to choose 4 people at random from the group, what is the probability that none of them would have blue eyes?"} {"instruction": "A chat. A dog gives birth to 6 puppies. Each puppy grows up and also gives birth to 6 puppies. How many dogs are there now, including the original mother dog? Use step-by-step logic."} {"instruction": "A chat. A restaurant wants to increase its seating capacity by adding outdoor patio seating. The patio area can accommodate up to 20 tables, each seating four people. The cost of each table is $300, and each chair costs $75. Additionally, the restaurant needs to invest in outdoor heaters at a cost of $500 each (one heater for every two tables) and umbrellas at a cost of $150 each (one umbrella for every four tables). Calculate the total investment required for the outdoor patio expansion and provide step-by-step reasoning."} {"instruction": "A chat. A bag contains 4 red balls, 6 blue balls, and 5 green balls. If you draw 3 balls at random without replacement, what is the probability that none of them are red?"} {"instruction": "A chat. Solve the equation: 3x - 7 = 20"} {"instruction": "A chat. ((8 - 4)^2 * (3 + 1)) / 2 ="} {"instruction": "A chat. In a small town, there are 4 barbers. Barber A is more skilled than Barber B. Barber C is less skilled than Barber D. If Barber B is the most popular barber in town, who is the least skilled barber?"} {"instruction": "A chat. How many gallons of water are used by an average American household each day if they use 100 gallons per person and there are 2.5 people on average in a household?"} {"instruction": "A chat. A bag contains 4 red balls, 5 blue balls, and 6 green balls. If a ball is drawn at random, what is the probability that it is not blue? Please explain step-by-step."} {"instruction": "A chat. A factory produces 500 widgets per day. Each widget weighs 2 pounds. The factory wants to ship the widgets in boxes that can hold a maximum of 50 pounds each. How many boxes are needed to ship one day's production?"} {"instruction": "A chat. A large shipping company is planning to upgrade its fleet by purchasing new cargo ships with higher fuel efficiency and greater capacity. The company currently operates 50 ships, each with a capacity of 10,000 tons and average fuel consumption of 100 gallons per hour. The new ships have a capacity of 15,000 tons and consume 80 gallons of fuel per hour. Calculate the increase in cargo capacity and reduction in fuel consumption if the company replaces all its existing ships with the new ones. Also, determine the break-even point for this investment, considering that each new ship costs $60 million and the current market price for fuel is $3 per gallon.\n"} {"instruction": "A chat. (4 * 3) / (2^3 - 5) + 6 ="} {"instruction": "A chat. How many miles would a person walk in a month if they walked 10,000 steps per day?"} {"instruction": "A chat. In a village, there are 10 houses in a row. Each house has a different color and each homeowner has a unique profession. The architect lives in the red house, which is next to the blue house. The doctor lives in the green house, which is not adjacent to the architect's house. The lawyer lives two houses away from the doctor. What color is the lawyer's house?"} {"instruction": "A chat. A company has an annual revenue of $5 million and spends 40% on salaries, 25% on rent, and 15% on marketing. How much money does the company have left after these expenses?"} {"instruction": "A chat. How many prime numbers are there between 50 and 100?"} {"instruction": "A chat. If a car factory produces 120 cars per day and each car has four wheels, how many wheels are produced in a month with 30 days?"} {"instruction": "A chat. A store sells two types of items - Type A and Type B. They sell 60% more Type A items than Type B items every day. If they sell 800 Type B items per day, how many items do they sell in total each day?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 8 feet and a height of 12 feet. What is its volume in gallons? (1 cubic foot = 7.48 gallons)"} {"instruction": "A chat. There are 8 apples and 10 oranges in a basket. If you randomly pick one fruit from the basket, what is the probability of picking an apple?"} {"instruction": "A chat. John has twice as many apples as Mary. If Mary has 15 apples, how many apples do they have together? Provide step-by-step logic."} {"instruction": "A chat. A car rental company charges $20 per day for renting a car and an additional 15 cents per mile driven. How much would it cost to rent a car for 7 days and drive it for 350 miles?"} {"instruction": "A chat. A train leaves Station A at 8 am and travels at a constant speed of 60 mph towards Station B. Another train leaves Station B at 9 am and travels at a constant speed of 90 mph towards Station A. If the distance between the two stations is 450 miles, at what time will the trains meet?"} {"instruction": "A chat. An apple tree produces 200 apples each season. Each apple contains around 10 seeds. How many seeds would the tree produce in four seasons? Walk me through your thought process."} {"instruction": "A chat. There are 5 red balls and 3 blue balls in a box. You take out one ball at random, then put it back and take out another ball at random. What is the probability that both balls you took out were red?"} {"instruction": "A chat. A rectangle has a length of 12 inches and a width of 8 inches. If both the length and width are doubled, what is the ratio of the area of the new rectangle to the area of the original rectangle?"} {"instruction": "A chat. There are 12 red balls and 8 blue balls in a bag. If you randomly pick one ball from the bag without looking, what is the probability that it will be a red ball?"} {"instruction": "A chat. An airline company plans to upgrade its fleet by purchasing 15 new long-haul aircraft over the next three years. Each aircraft costs $250 million and has a seating capacity of 350 passengers. The company expects to operate each aircraft for an average of 12 hours per day, flying at a distance of 6000 miles per trip. Determine the total cost of ownership for these aircraft over a ten-year period, factoring in fuel costs ($2 per gallon), maintenance costs ($1 million per year per aircraft), and crew salaries ($200,000 per pilot and $50,000 per flight attendant annually).\n"} {"instruction": "A chat. If a car travels at an average speed of 60 miles per hour for 3 hours and then increases its speed to 80 miles per hour for another 4 hours, how far does the car travel in total?"} {"instruction": "A chat. A box contains red, blue, and green balls. There are twice as many red balls as there are blue balls, and three times as many green balls as there are red balls. If there are a total of 66 balls in the box, how many blue balls are there?"} {"instruction": "A chat. A car factory produces 150 cars every day. How many cars will it produce in a leap year? Explain step-by-step."} {"instruction": "A chat. If a car rental company has 12 cars and each car is rented out an average of 5 times per month, how much revenue does the company generate in one year if they charge $50 per rental?"} {"instruction": "A chat. In a room, there are 10 cats. Each cat sees 8 cats. How many total cats do all the cats see? Provide step-by-step logic."} {"instruction": "A chat. In a class of 30 students, 12 are boys, and the rest are girls. If half of the boys wear glasses, what percentage of the entire class wears glasses?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed. The distance between the two cities is 300 miles. If the train takes 5 hours to complete the journey, what would be its average speed?"} {"instruction": "A chat. A water tank has a capacity of 500 gallons. If a faucet connected to the tank releases water at a rate of 2 gallons per minute, how long will it take to empty the tank completely?"} {"instruction": "A chat. Solve for x: |x - 5| + |x + 3| = 10"} {"instruction": "A chat. A train leaves Town A and travels to Town B at a constant speed. Halfway through the journey, the train increases its speed by 25%. What percentage increase in the overall average speed does this result in?"} {"instruction": "A chat. There are 5 apples in a basket. Each apple weighs 120 grams. If I eat one apple, what is the total weight of the remaining apples in the basket? Show your work."} {"instruction": "A chat. In a town, there are 10 houses on one side of the street and 5 houses on the other side. Each house has a different number of occupants, ranging from 1 to 15 people. If we know that the total number of occupants in all the houses is exactly 120, how many people live in the house with the highest number of occupants?"} {"instruction": "A chat. A shipping company is analyzing its delivery routes to optimize efficiency and reduce transportation costs. The company operates a fleet of trucks, each with a maximum payload capacity of 10 tons. On average, each truck makes 5 deliveries per day, traveling a total of 200 miles. The company is considering adding smaller delivery vehicles to its fleet for shorter routes and lighter loads. Analyze the potential cost savings and efficiency improvements that could be achieved by incorporating smaller vehicles into the delivery network.\n"} {"instruction": "A chat. There are 5 apples on the table. You take away 2 apples. How many apples do you have?"} {"instruction": "A chat. A zoo is planning to expand its area to accommodate more animals. Currently, the zoo covers 50 acres and houses 300 different species, with an average of 5 individuals per species. The expansion plan aims to increase the number of species by 50% and double the number of individuals per species. Calculate the additional acreage required for the expansion, assuming the same density of animals per acre as before.\n"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 15 meters. What is the area of the garden, and what would be the length of the diagonal?"} {"instruction": "A chat. A rectangle has a length of 10 meters and a width of 5 meters. What is the perimeter of the rectangle?"} {"instruction": "A chat. An airline company is analyzing its flight schedules to optimize aircraft utilization and minimize operating costs. They have a fleet of 50 planes, each with a seating capacity of 200 passengers. Each plane requires 1 hour of maintenance for every 10 hours of flight time. Calculate the maximum number of daily flights the airline can operate while ensuring adequate maintenance time and accounting for factors such as airport congestion, crew rest requirements, and fuel efficiency at different altitudes.\n"} {"instruction": "A chat. A train travels at an average speed of 60 mph for 3 hours. How far does it travel? Explain your calculations.\n"} {"instruction": "A chat. A software company is developing a new app that requires users to purchase a subscription for access. The company offers three subscription plans: monthly ($10/month), quarterly ($25/quarter), and annual ($80/year). Based on market research, they expect 60% of users to choose the monthly plan, 30% to choose the quarterly plan, and 10% to choose the annual plan. Calculate the average revenue per user over one year, taking into account the different subscription plans.\n"} {"instruction": "A chat. A certain type of tree grows at an average rate of 2.5 inches per month. How tall will this tree be after 6 years if it starts from a height of 10 inches?"} {"instruction": "A chat. A sports league is planning to build a new stadium with a seating capacity of 60,000 spectators. The construction cost is estimated at $1 billion, and the project timeline is 3 years. Calculate the annual revenue required to cover the construction cost within 10 years, taking into account ticket sales, concessions, sponsorships, and other sources of income. Additionally, estimate the impact of this new stadium on local businesses and infrastructure, including transportation, hotels, restaurants, and retail establishments.\n"} {"instruction": "A chat. A factory produces 500 units of a product every day. The production increases by 10% each week. How many units will the factory produce in the fourth week?"} {"instruction": "A chat. If a rectangular garden measures 20 ft by 30 ft, what is its perimeter? Provide step-by-step reasoning.\n"} {"instruction": "A chat. A train travels from City A to City B in 5 hours, covering a distance of 250 miles. What is its average speed? Provide step-by-step reasoning.\n"} {"instruction": "A chat. There are 10 apples in a basket. You take away 4 apples. How many apples do you have now?"} {"instruction": "A chat. A train travels 60 miles per hour for 2 hours, then 30 miles per hour for the next 4 hours. How far did the train travel in total?"} {"instruction": "A chat. If it takes 6 men 4 hours to dig 3 holes, how long will it take for 2 men to dig half a hole?"} {"instruction": "A chat. There are 50 apples on a table. You take away 20 apples. How many apples do you have now?"} {"instruction": "A chat. A restaurant serves 200 customers per day on average. Each customer orders either a small meal costing $10 or a large meal costing $15. If 60% of customers order small meals and the remaining 40% order large meals, what is the daily revenue generated by the restaurant?"} {"instruction": "A chat. If a train travels at an average speed of 90 km/h and takes 3 hours to reach its destination, how far is the destination from the starting point?"} {"instruction": "A chat. A factory produces 3000 widgets per day at a cost of $5 per widget. The factory sells each widget for $12. What is the profit made by the factory after 15 days?"} {"instruction": "A chat. A cruise line wants to increase its capacity by adding a new ship to its fleet. The new ship will have a capacity of 3000 passengers and operate on 7-day cruises. The company expects an occupancy rate of 90% throughout the year. Calculate the annual revenue that can be generated from this new ship, taking into account factors such as ticket prices, onboard spending, and seasonal variations in demand. Explain your reasoning.\n"} {"instruction": "A chat. There are 100 birds sitting on a fence. If you shoot one bird, how many birds remain on the fence?"} {"instruction": "A chat. A factory produces 1000 widgets per day. Of these, 5% are defective. What is the expected number of non-defective widgets produced in a week?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. It takes 5 hours to travel from Town A to Town B. If the train stops for 30 minutes at a station between Town A and Town B, how far is it from Town A to Town B?"} {"instruction": "A chat. If you were to stack $1 bills on top of each other, how tall would a stack of one million dollars be?"} {"instruction": "A chat. A jar contains 5 red marbles, 8 blue marbles, and 4 green marbles. If you draw three marbles without replacement, what is the probability that you draw exactly one marble of each color?"} {"instruction": "A chat. In a village, there are 20 houses. Every house has a cat that lives in it. Each cat catches exactly one mouse per day from any of the other houses. How many mice are caught in total each day?"} {"instruction": "A chat. A man builds a house rectangular in shape. All sides have southern exposure. A big bear walks by. What color is the bear? Why?"} {"instruction": "A chat. A baker uses 2 eggs to make a cake. If he wants to bake 50 cakes, how many dozens of eggs does he need? Remember, a dozen is 12. Guide me through your reasoning."} {"instruction": "A chat. A construction company is bidding on a project to build a large sports complex consisting of multiple stadiums, training facilities, and parking areas. The project has a budget of $500 million and must be completed within three years. The company needs to develop a detailed proposal outlining the construction timeline, staffing requirements, and cost estimates for each phase of the project. Describe the steps involved in creating this proposal, including site analysis, design development, and resource allocation.\n"} {"instruction": "A chat. A factory produces 500 units of product X every hour. The factory operates 16 hours a day, 5 days a week. How many units of product X does the factory produce in 4 weeks?"} {"instruction": "A chat. In a town, there are two barbers. Barber A has a neat and tidy haircut, while Barber B has a messy and unkempt haircut. Which barber should you go to if you want a good haircut?"} {"instruction": "A chat. Calculate the area of a rectangle with a length of 15 meters and a width of 8 meters, providing step-by-step reasoning.\n"} {"instruction": "A chat. A bakery produces various types of bread and pastries daily. They currently produce 500 loaves of bread, 300 croissants, and 200 muffins each day. The bakery wants to increase its production by 20% for each product while maintaining the same working hours and staffing levels. Calculate the additional number of loaves, croissants, and muffins that need to be produced daily to meet this goal, providing step-by-step reasoning.\n"} {"instruction": "A chat. You have a basket with 10 apples. You give half of them to your friend Bob. Then you eat two yourself. How many apples are left in the basket? Explain step-by-step."} {"instruction": "A chat. Calculate the pH of a solution with a hydrogen ion concentration of 1 x 10^-7 mol/L. Explain your calculations.\n"} {"instruction": "A chat. A rectangular room has a length of 12 meters and a width of 8 meters. What is the area of the floor in square meters? And what is the perimeter of the room in meters?"} {"instruction": "A chat. There are 4 red balls and 2 blue balls in a bag. If you draw two balls without replacement, what is the probability that both balls are red?"} {"instruction": "A chat. In a village, there are 10 families. Each family has at least one child. If the total number of children in the village is 20, what is the maximum number of families that can have only one child?"} {"instruction": "A chat. A hotel chain wants to optimize its room pricing strategy based on occupancy rates and seasonal demand fluctuations. They have 5000 rooms across their properties, with an average nightly rate of $150 per room. During peak season, they achieve a 90% occupancy rate, while during low season, it drops to 60%. Calculate the total revenue generated by the hotel chain during both peak and low seasons, assuming each season lasts for 180 days. Explain your reasoning.\n"} {"instruction": "A chat. A company has 120 employees. They decide to increase their workforce by 25%. After this increase, they plan to further increase it by an additional 10%. How many employees will the company have after both increases?"} {"instruction": "A chat. A box contains red, blue, and green balls. There are twice as many red balls as blue balls, and there are three times as many green balls as red balls. If there are a total of 72 balls in the box, how many blue balls are there?"} {"instruction": "A chat. A bakery makes 500 loaves of bread every day. Each loaf is sliced into 10 pieces. How many slices of bread does the bakery produce daily? Show your calculations."} {"instruction": "A chat. If a company's revenue is increasing at a rate of 5% per month, how much will the revenue be after one year if the initial revenue was $10,000?"} {"instruction": "A chat. A large grocery store chain wants to optimize its supply chain by reducing food waste and improving inventory management. They currently operate 200 stores nationwide, each carrying an average of 50,000 unique products. Analyze the company's current inventory practices and propose strategies for minimizing waste while maintaining product availability and customer satisfaction. Consider factors such as supplier lead times, spoilage rates, and demand forecasting when developing your recommendations."} {"instruction": "A chat. If a rectangle has an area of 150 square inches and a length of 10 inches, what is its width?"} {"instruction": "A chat. You have a bag of 90 marbles. 40% of them are red, the rest are blue. How many blue marbles do you have? Show your reasoning."} {"instruction": "A chat. A factory produces 500 units of a product every day. If each unit sells for $25, what is the total revenue generated in one week?"} {"instruction": "A chat. There are 120 students in a school. If 75% of them wear glasses, how many students do not wear glasses?"} {"instruction": "A chat. A company has an annual revenue of $1,200,000 and spends $800,000 on operating expenses. If they pay out 25% of their net income as dividends to shareholders, how much money is paid out in dividends?"} {"instruction": "A chat. In a small town, there are 3 barbers. The first barber has a sign that says \"The best barber in town.\" The second barber has a sign that says \"The best barber on the street.\" The third barber has no sign but is always busy with customers. Which barber should you go to if you want the best haircut?"} {"instruction": "A chat. A water tank is being filled at a rate of 12 gallons per minute. How long will it take to fill the tank if its capacity is 2,400 gallons?"} {"instruction": "A chat. A car rental company has 20 cars available. They rent out 80% of their cars on Monday, 60% on Tuesday, and 40% on Wednesday. How many more cars were rented on Monday compared to Wednesday?"} {"instruction": "A chat. (6 * 3^2 - 4) / (9 - 5) ="} {"instruction": "A chat. A train leaves Station A and travels at a constant speed of 60 km/h towards Station B, which is 180 km away. At the same time, another train leaves Station B and travels at a constant speed of 90 km/h towards Station A. How far from Station A do the two trains meet?"} {"instruction": "A chat. A bag contains 4 red balls, 6 blue balls, and 5 green balls. If you draw 3 balls from the bag without replacement, what is the probability that you will get exactly 2 red balls and 1 blue ball?"} {"instruction": "A chat. Alice has twice as many apples as Bob. If Alice gives 6 apples to Bob, they will both have the same number of apples. How many apples does each person have initially?"} {"instruction": "A chat. A train travels at an average speed of 80 kilometers per hour for a distance of 240 kilometers. After stopping for 30 minutes, it continues traveling at an average speed of 100 kilometers per hour for another 200 kilometers. What is the total travel time of the train?"} {"instruction": "A chat. You have a box containing 8 red balls and 7 blue balls. If you randomly pick one ball from the box without looking, what is the probability that it will be a red ball? Explain your reasoning."} {"instruction": "A chat. If you want to save $12,000 in 5 years, how much money do you need to save each month?"} {"instruction": "A chat. A hotel chain wants to optimize its housekeeping operations by implementing a new scheduling system. The chain has 10 hotels, each with 200 rooms. On average, 70% of the rooms are occupied daily, and each room requires 30 minutes of cleaning time. Calculate the total number of housekeeping hours required per day across all hotels, and estimate the number of full-time housekeepers needed if each works an 8-hour shift. Describe your calculations in steps.\n"} {"instruction": "A chat. A zoo wants to expand its facilities by adding a new exhibit featuring several species of birds. The exhibit will require a custom-built aviary covering an area of 15,000 square feet, with a height of 30 feet. The structure will be made primarily of steel beams and mesh netting. Calculate the total length of steel beams needed to create the frame, as well as the amount of mesh netting required to cover the entire structure. Additionally, estimate the total cost of materials and labor for this project, assuming steel beams cost $20 per linear foot, mesh netting costs $5 per square foot, and labor costs are $50 per hour.\n"} {"instruction": "A chat. A restaurant serves 200 customers per day on average. Each customer spends an average of $15 on their meal. The restaurant operates 6 days a week. How much revenue does the restaurant make in a year?"} {"instruction": "A chat. A company produces 500 units of a product per day at a cost of $10 per unit. If they can sell each unit for $15, what is their profit after 20 days?"} {"instruction": "A chat. If a company has 20 employees and decides to hire 5 more, what percentage increase in the number of employees does this represent?"} {"instruction": "A chat. If a company produces 500 units of product A and 300 units of product B per day, and the profit for each unit of product A is $20 while the profit for each unit of product B is $30, how much total profit does the company make in one week?"} {"instruction": "A chat. If I read 2 chapters of a book every day, how many chapters will I have read after a month of 30 days? Show your work."} {"instruction": "A chat. In a town, there are 5 houses in a row. Each house is painted with one of the three colors: red, blue, or green. No two adjacent houses have the same color. The first and last houses are not both red. How many possible combinations of house colors can be arranged?"} {"instruction": "A chat. In a box, there are 6 black socks and 8 white socks. If you randomly pick out 3 socks, what is the probability that you will get a matching pair?"} {"instruction": "A chat. If you save $200 per month for 18 months, how much interest will you earn if the savings account pays an annual interest rate of 4% compounded monthly?"} {"instruction": "A chat. If a bookshelf contains 60 books and 40% of them are fiction, how many non-fiction books are there? Reason step-by-step."} {"instruction": "A chat. A factory produces 2000 units of product A per day. The factory needs to produce a total of 50,000 units of product A within 30 days. After 20 days, how many more units does the factory need to produce to meet its target?"} {"instruction": "A chat. In a small town, there are 20 houses on one side of the street and 30 houses on the other side. Each house has a number from 1 to 50. If all odd-numbered houses have blue doors and even-numbered houses have red doors, how many houses in total have blue doors?"} {"instruction": "A chat. A bakery sells bread loaves at $4 each. If they sell 50 loaves in a day, how much revenue does the bakery make in a week? Break down your steps."} {"instruction": "A chat. In a family of four children, what is the probability that there are exactly two boys and two girls if it's known that at least one child is a boy?"} {"instruction": "A chat. In a triangle ABC, angle A measures 35 degrees, angle B measures 75 degrees, and side AB has a length of 10 units. What is the length of side AC?"} {"instruction": "A chat. A gardener has a rectangular garden that is 15 meters long and 8 meters wide. He wants to plant flowers along the perimeter of the garden but can only plant one flower every meter. How many flowers does he need?"} {"instruction": "A chat. A large hotel chain plans to expand its presence in a popular tourist destination by building three new hotels over the next seven years. Each hotel will have different room capacities and nightly rates. Estimate the total number of rooms required for each hotel, considering the expected growth in tourist arrivals and the average length of stay. Also, calculate the optimal nightly rates to maximize revenue while maintaining an average occupancy rate of 80%. Provide step-by-step reasoning.\n"} {"instruction": "A chat. If I have 20 cats and each cat has 4 legs, how many chairs do I need?"} {"instruction": "A chat. Given a matrix A = [[1, 2], [3, 4]], calculate its inverse. Provide step-by-step reasoning.\n"} {"instruction": "A chat. If a car travels at an average speed of 50 miles per hour, how far will it travel in 2.5 days?"} {"instruction": "A chat. A factory produces 1000 widgets in 10 days with 20 workers. How many days would it take for 30 workers to produce 1500 widgets, assuming they work at the same rate?"} {"instruction": "A chat. Alice can paint a room in 5 hours, while Bob can paint the same room in 7 hours. If they both start painting the room at the same time, how long will it take them to finish?"} {"instruction": "A chat. A store offers a discount on bulk purchases such that for every 5 items bought, you get a 6th item free. If a customer buys 30 items, how many additional items will they receive for free?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding new bus routes and increasing the frequency of buses on existing routes. The current daily ridership is 50,000 passengers, with an average trip length of 5 miles. The city wants to increase ridership by 20% over the next three years while maintaining an average occupancy rate of at least 75%. Calculate the number of additional buses needed, the total mileage they will cover, and the estimated fuel consumption for these buses, assuming each bus gets 4 miles per gallon. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A large retail chain wants to optimize its inventory management system by analyzing sales data, customer preferences, and seasonal trends. The company has 500 stores nationwide, each carrying a wide range of products in various categories. Develop a plan for determining the optimal product mix for each store, taking into account factors such as regional differences, demographics, and local competition. Describe your approach in steps.\n"} {"instruction": "A chat. A factory produces 200 units of a product in 8 hours. If it takes 10 workers to produce these units, how many units can 15 workers produce in 12 hours?"} {"instruction": "A chat. A company has a monthly fixed cost of $10,000 for rent and utilities. The company produces a product that costs $5 per unit to manufacture and sells it for $15 per unit. How many units must the company sell each month to break even?"} {"instruction": "A chat. If you drive at an average speed of 60 miles per hour for 2 hours and 30 minutes, how far will you travel?"} {"instruction": "A chat. If it takes 6 men to dig a hole in 4 hours, how long would it take for 12 men to dig the same hole?"} {"instruction": "A chat. There are three light switches outside a closed room. One of them controls the light inside the room. You can flip the switches as many times as you want, but once you open the door to check the light, you can't touch the switches again. How can you determine which switch controls the light?"} {"instruction": "A chat. In a class of 30 students, 18 play soccer and 12 play basketball. If 8 students play both sports, how many students do not play either sport?"} {"instruction": "A chat. In a room, there are 6 people who all shake hands with each other exactly once. How many handshakes occur in total?"} {"instruction": "A chat. A factory produces widgets in batches. Each batch contains 25% defective widgets. If a customer orders 200 widgets, how many additional widgets should the factory produce to ensure the customer receives 200 non-defective widgets?"} {"instruction": "A chat. It takes 30 minutes to cook a pot of rice that serves 6 people. How long will it take to cook enough rice for 24 people?"} {"instruction": "A chat. A hospital is planning to expand its emergency department to accommodate more patients. Currently, the department has 20 beds and serves an average of 100 patients per day, with an average stay of 8 hours per patient. The expansion plan includes adding 10 more beds and hiring additional staff. Calculate the increased capacity of the emergency department after the expansion, as well as the required number of nurses and doctors needed to maintain a 1:4 nurse-to-patient ratio and a 1:10 doctor-to-patient ratio. Consider shift lengths, breaks, and other staffing requirements in your calculations.\n"} {"instruction": "A chat. Prove that if a function f(x) is differentiable at x = c, then it must be continuous at x = c."} {"instruction": "A chat. If a farmer has 5 acres of land and wants to plant apple trees, how many trees can he plant if each tree requires 200 square feet of space?"} {"instruction": "A chat. A telecommunications company is upgrading its network infrastructure to improve coverage and data speeds for its customers. The project involves installing 1,000 new cell towers across the country, each with a range of 5 miles. Determine the total area covered by the new cell towers and compare it to the current coverage area. Also, calculate the expected improvement in network performance based on factors such as reduced congestion and faster data transmission rates."} {"instruction": "A chat. A spider has 8 legs. How many spiders would be needed to reach a total of 1000 legs? Use logical steps to answer."} {"instruction": "A chat. A bakery is planning to expand its operations by adding new products to its menu. Currently, the bakery produces 500 loaves of bread per day, with an average weight of 1 pound per loaf. They want to introduce three new types of pastries, with production targets of 200 units for pastry type A, 300 units for pastry type B, and 400 units for pastry type C. Each unit of pastry type A weighs 0.25 pounds, while types B and C weigh 0.5 pounds and 0.75 pounds, respectively. Determine the total daily output in terms of weight for all products combined and calculate the required storage space if each pound of product needs 2 cubic feet of space.\n"} {"instruction": "A chat. In a town, 2/3 of the men are married to 3/4 of the women. The total number of adults in the town is 600. How many married couples are there in the town?"} {"instruction": "A chat. A city's public transportation system is evaluating its bus routes to optimize efficiency. There are currently 50 buses in operation, running on 10 different routes. Each route requires five buses to maintain the desired frequency of service. Calculate the average number of passengers per bus if the total daily ridership across all routes is 25,000 passengers. Additionally, consider that the city plans to add two new routes, requiring an additional 10 buses. Estimate the impact on the average number of passengers per bus if the overall daily ridership increases by 20%. Provide step-by-step reasoning."} {"instruction": "A chat. If you filled a swimming pool with water at a rate of 500 gallons per hour, how long would it take to fill a 25,000-gallon pool?"} {"instruction": "A chat. In a room, there are 3 switches that control 3 different light bulbs in another room. You can only enter the other room once. How can you determine which switch controls each light bulb?"} {"instruction": "A chat. A city is planning to construct a new sports complex that includes a soccer field, basketball courts, and a swimming pool. The construction cost for the soccer field is $500,000, while each basketball court costs $150,000, and the swimming pool costs $1 million. The city has a budget of $2.5 million for this project. Calculate how many basketball courts can be built if the city decides to include both the soccer field and the swimming pool in the complex. Also, estimate the annual maintenance cost for the entire complex, assuming the soccer field requires $20,000 per year, each basketball court needs $10,000 per year, and the swimming pool demands $50,000 per year.\n"} {"instruction": "A chat. In a certain village, half of the people always tell the truth, while the other half always lie. You meet two villagers named Alice and Bob. Alice says \"At least one of us is a liar.\" Is Bob a liar?"} {"instruction": "A chat. A car rental company charges a flat fee of $20 per day plus an additional 15 cents per mile driven. Write an equation representing the total cost (C) as a function of the number of miles driven (m). \n"} {"instruction": "A chat. A snail is at the bottom of a 20-foot well. Each day, the snail climbs up 5 feet but slides back down 4 feet during the night. How many days does it take for the snail to reach the top of the well?"} {"instruction": "A chat. A box contains 3 red balls and 5 blue balls. If you randomly pick two balls from the box without replacement, what is the probability that both balls are red?"} {"instruction": "A chat. If a bacteria population doubles every 20 minutes, how many bacteria will there be after 2 hours starting with a single bacterium?"} {"instruction": "A chat. In a town, there are 100 houses. Every house has at least one pet. If each dog owner owns exactly two dogs and every cat owner owns exactly three cats, how many people own both dogs and cats?"} {"instruction": "A chat. A box contains red balls and blue balls. There are a total of 30 balls in the box. If the probability of picking a red ball is 1/3, how many blue balls are in the box?"} {"instruction": "A chat. If a car travels at an average speed of 45 miles per hour for 4 hours, how many kilometers will it have traveled?"} {"instruction": "A chat. If you travel at a constant speed of 65 miles per hour for 3 hours and 45 minutes, how far will you have traveled?"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour and takes 4 hours to reach its destination. If the train's speed were increased by 15 miles per hour, how long would it take to reach the same destination?"} {"instruction": "A chat. A family uses on average 300 gallons of water per day. How much water does the family use in one year? Explain step-by-step."} {"instruction": "A chat. A father is four times as old as his son. In 10 years, he will be twice as old as his son. How old is the father currently?"} {"instruction": "A chat. A car travels 400 miles on a full tank of gas, which holds 16 gallons. How many miles can the car travel on 3 gallons of gas?"} {"instruction": "A chat. A person invests $5000 at an annual interest rate of 4% compounded quarterly. How much will their investment be worth after 3 years?"} {"instruction": "A chat. A book has 300 pages. If John reads 15 pages every day, how long will it take him to finish the book? Explain your thought process."} {"instruction": "A chat. If I have 6 oranges and eat 2 apples, how many oranges do I have left?"} {"instruction": "A chat. A store sells bags of candy for $5 each. The store owner decides to offer a discount on bulk purchases: if a customer buys 10 or more bags, they receive a 15% discount on their entire purchase. How much would it cost to buy 12 bags with the discount applied?"} {"instruction": "A chat. A car traveling at an average speed of 65 mph takes a trip from City A to City B, which are 260 miles apart. How long does it take for the car to reach City B?"} {"instruction": "A chat. A city plans to build a new sports stadium with a seating capacity of 50,000 spectators. The stadium will host various events, including football games, concerts, and other large gatherings. Calculate the total construction cost, considering land acquisition costs of $100 million, stadium construction costs of $500 million, and infrastructure improvements (roads, parking, public transit) costing $200 million. Estimate the time required to recoup this investment through ticket sales, concessions, and other event-related revenue streams, assuming an average of 40 events per year and an average ticket price of $75."} {"instruction": "A chat. There are 25 red balls and 15 blue balls in a box. If you randomly pick one ball from the box, what is the probability that it will be red?"} {"instruction": "A chat. In a room, there are 10 people. Each person has a different number of coins in their pocket, and no two people have the same amount. The minimum number of coins someone has is 1, and the maximum is 10. If you know that exactly three people have an even number of coins, how many coins does the person with the most coins have?"} {"instruction": "A chat. In how many ways can you choose a committee of 4 people from a group of 10 people, if two specific individuals cannot both be on the committee?"} {"instruction": "A chat. In a game, each player gets three chances to throw a ball at a target. A player scores 2 points if they hit the target on their first try, 1 point if they hit it on their second try, and no points if they hit it on their third try. If a player misses all three attempts, they lose 1 point. What is the maximum number of points a player can score in this game?"} {"instruction": "A chat. There are seven people in a room. Each person shakes hands with every other person exactly once. How many handshakes occur? Show your reasoning."} {"instruction": "A chat. What is the probability of rolling two six-sided dice and getting a sum of 9?"} {"instruction": "A chat. A factory produces 500 units of product A and 700 units of product B in one day. The profit per unit for product A is $20, while the profit per unit for product B is $15. What is the total profit made by the factory in one day?"} {"instruction": "A chat. A farmer wants to fence in a rectangular field that covers 600 square meters. The width of the field is 20 meters. What is the length of the field, and how much fencing will he need to enclose the entire field? Explain your reasoning.\n"} {"instruction": "A chat. There are 8 people in a room. Among them, there are 3 doctors and 2 lawyers. The rest of the people are teachers. If one doctor leaves the room, how many professionals remain in the room?"} {"instruction": "A chat. A shipping company is planning to purchase a new fleet of delivery trucks to improve efficiency and reduce fuel costs. The company currently operates 100 trucks that travel an average of 200 miles per day, consuming 10 gallons of diesel fuel per truck. Newer trucks are available with improved fuel efficiency, offering 15% better mileage than the current fleet. Calculate the potential savings in fuel costs over a year if the company replaces its entire fleet with more efficient trucks. Also, consider the initial investment required to purchase the new trucks and determine the payback period for this investment.\n"} {"instruction": "A chat. If a car travels at an average speed of 60 mph for 3 hours, how far does it travel?"} {"instruction": "A chat. A pharmaceutical wholesaler supplies medications to pharmacies across the country. They offer various discounts based on order volume and payment terms. Calculate the total annual revenue for the wholesaler if they have 5,000 pharmacy customers, with the following distribution: 60% order at least $10,000 worth of products per month and receive a 5% discount, 30% order between $5,000 and $9,999 per month and receive a 3% discount, and 10% order less than $5,000 per month with no discount. Provide step-by-step reasoning for your calculation.\n"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B every day. Product A requires 4 hours to produce one unit, while product B takes 6 hours. How many total working hours are needed daily to produce both products?"} {"instruction": "A chat. There are 5 red balls and 3 blue balls in a bag. You draw one ball at random, note its color, and put it back into the bag. Then you draw another ball at random. What is the probability that both balls drawn were red?"} {"instruction": "A chat. In a factory, 4 machines produce 60 units per hour each. Due to increased demand, the factory decides to add 2 more machines with a production rate of 80 units per hour each. What will be the total hourly production after adding the new machines?"} {"instruction": "A chat. A computer processes information at a speed of 1000 bits per second. How many bits does it process in a day? Show your work."} {"instruction": "A chat. If a tree produces 200 apples in one season, and each apple has 8 seeds, how many potential new trees could be grown from the seeds of all the apples? Show your work."} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" All labels are incorrect. You may pick one fruit from one box without looking inside. After picking the fruit, you must correctly label all the boxes. Which box should you choose to pick a fruit from?"} {"instruction": "A chat. A store sells two types of items - Type A and Type B. Each item of Type A costs $12, while each item of Type B costs $8. If a customer buys a total of 10 items and spends exactly $100, how many items of each type did they purchase?"} {"instruction": "A chat. A store sells apples for $1.50 per pound. If a customer buys 4 pounds of apples and pays with a $20 bill, how much change will they receive?"} {"instruction": "A chat. A hotel chain is planning to expand its operations by opening new locations in various cities. The company currently operates 200 hotels with an average occupancy rate of 75%. They aim to maintain this occupancy rate while increasing the total number of rooms by 50% over the next five years. Calculate the optimal distribution of new hotels across different cities, considering factors such as population density, tourism trends, and local competition. Also, estimate the construction costs for these new hotels, assuming an average cost of $150,000 per room.\n"} {"instruction": "A chat. If a car rental company has 100 cars and rents them out at an average rate of $50 per day, how much revenue would they make in a month if the average rental duration is 3 days?"} {"instruction": "A chat. If a car travels at a constant speed of 60 mph for 2 hours and 30 minutes, how far has it traveled?"} {"instruction": "A chat. In a group of people, 65% have brown eyes, and 35% have blue eyes. Among those with brown eyes, 40% wear glasses. Among those with blue eyes, 20% wear glasses. What percentage of the entire group wears glasses?"} {"instruction": "A chat. Solve the following quadratic equation: x^2 - 5x + 6 = 0, using the quadratic formula. Show your work.\n"} {"instruction": "A chat. A box contains red balls and blue balls. There are twice as many red balls as blue balls. If there are 18 balls in total, how many blue balls are there?"} {"instruction": "A chat. A car rental company charges $25 per day plus an additional $0.15 per mile driven. How much would it cost to rent a car for 5 days and drive it for 450 miles?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 80 km/h. The distance between the two towns is 240 km. Halfway through the journey, the train stops for 30 minutes due to technical issues. What is the average speed of the train for the entire trip?"} {"instruction": "A chat. If a factory produces 250 units of product A every day and each unit sells for $15, how much revenue does the factory generate from product A in a week?"} {"instruction": "A chat. A factory produces 150 widgets per hour. Due to increased demand, they decide to increase production by 20%. How many widgets will the factory produce after the increase?"} {"instruction": "A chat. If a company manufactures 2000 products per day and each product requires 15 minutes of labor time, how many hours of labor does the company require daily?"} {"instruction": "A chat. A factory produces 1500 widgets per day. Due to an increase in demand, they need to produce 2250 widgets per day. By what percentage must they increase their production?"} {"instruction": "A chat. A train travels from City A to City B at an average speed of 60 km/h. On its return trip, the train takes the same route but increases its average speed to 90 km/h. What is the train's average speed for the entire round trip?"} {"instruction": "A chat. A factory produces 500 units of a product every day. The production cost per unit is $12, and each unit is sold for $20. If the factory has fixed costs of $3,000 per day, how many days will it take for the factory to break even?"} {"instruction": "A chat. A bus travels from City A to City B at an average speed of 60 miles per hour. The return trip from City B to City A has an average speed of 40 miles per hour. What is the average speed for the entire round trip?"} {"instruction": "A chat. In a class of 30 students, 18 students have brown eyes and the rest have blue eyes. What is the ratio of brown-eyed students to blue-eyed students?"} {"instruction": "A chat. In a box, there are 8 red balls, 6 blue balls, and 4 green balls. If you randomly pick one ball from the box without looking, what is the probability that it is not green?"} {"instruction": "A chat. John can paint a house in 5 hours. Mary can do it in 4 hours. If they work together, how long will it take them to paint the house?"} {"instruction": "A chat. A library contains 120 books, 40% of which are fiction. How many non-fiction books does the library have? Show your work."} {"instruction": "A chat. In a bag of marbles, there are 5 red marbles, 8 blue marbles, and 12 green marbles. What is the probability of picking two red marbles consecutively without replacement?"} {"instruction": "A chat. In how many ways can 5 people be seated in a row if two of them insist on sitting next to each other?"} {"instruction": "A chat. Calculate the residue of the function f(z) = (z^2 + 1)/(z^3 - z) at its poles."} {"instruction": "A chat. In an election, Candidate A received 45% of the votes, Candidate B received 35%, and Candidate C received the remaining votes. If there were a total of 80,000 votes cast, how many more votes did Candidate A receive than Candidate B?"} {"instruction": "A chat. If a farmer has 3 types of seeds, and he wants to plant each type in separate rectangular plots with equal areas, what are the dimensions of each plot if their total area is 5400 square meters?"} {"instruction": "A chat. A restaurant chain is planning to expand its menu by adding new dishes that cater to different dietary preferences and restrictions, such as vegetarian, vegan, gluten-free, and low-calorie options. They need to determine the optimal number of new dishes to add while considering factors like ingredient costs, kitchen space, staff training, and customer demand. Describe the steps needed to make this decision.\n"} {"instruction": "A chat. A company has an annual operating budget of $2,400,000. If they allocate 25% of their budget to employee salaries and 15% to marketing expenses, how much money do they have left for other expenses?"} {"instruction": "A chat. If you have a sequence of numbers where each term after the first two terms is the sum of the previous two terms (i.e., a Fibonacci sequence), and the first two terms are 3 and 5, what is the 10th term in the sequence?"} {"instruction": "A chat. There are 4 people in a room. Each person has an apple, and they all decide to exchange apples with each other. How many total exchanges of apples occurred?"} {"instruction": "A chat. A company spends $10,000 on advertising and generates an additional revenue of $60,000 as a result. What is the return on investment (ROI) for this advertising campaign?"} {"instruction": "A chat. A rectangle has a length of 3x - 4 and a width of x + 2. Find the area of the rectangle when x = 5."} {"instruction": "A chat. A train travels from Town A to Town B in 5 hours. The distance between the two towns is 300 miles. If the train increases its speed by 20 mph, how long will it take to travel the same distance?"} {"instruction": "A chat. A construction company is bidding on a project to build a new highway connecting two cities. The proposed highway will be 150 miles long and require 500,000 tons of asphalt. The company needs to determine the most cost-effective way to source the asphalt, taking into account factors like transportation costs, local production capacity, and environmental regulations. Describe the steps needed to make this decision and identify any potential challenges or risks.\n"} {"instruction": "A chat. A triangle has sides of length 7 cm, 10 cm, and 13 cm. What is its area in square centimeters?"} {"instruction": "A chat. A farmer has 30 cows and 28 chickens. How many legs do all the animals have?"} {"instruction": "A chat. Find the Maclaurin series expansion of sin(x)."} {"instruction": "A chat. Solve for x: log(x) + log(2x) = 2"} {"instruction": "A chat. A baker uses 15 eggs to make 20 cakes. How many eggs would he need to bake 45 cakes? Include your reasoning."} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 15 meters. If you want to build a fence around the entire garden with posts every 2 meters, how many fence posts will be needed?"} {"instruction": "A chat. Use Laplace transforms to solve the initial value problem y'' + 2y' + y = e^(-t), with y(0) = 1 and y'(0) = -1."} {"instruction": "A chat. There are two boxes labeled \"A\" and \"B\". Box A contains 3 red balls and 5 blue balls. Box B contains 4 red balls and 4 blue balls. You randomly pick one ball from box A and put it into box B without looking at its color. What is the probability of drawing a red ball from box B now?"} {"instruction": "A chat. In a school, there are 800 students. The ratio of boys to girls is 3:5. How many boys and girls are there in the school?"} {"instruction": "A chat. Sarah has more apples than Tom. Tom has fewer apples than Mary. Does Sarah have more apples than Mary?"} {"instruction": "A chat. In a school, there are 400 students in total. If 60% of them play soccer and 30% of them play basketball, how many students play both soccer and basketball if 20% of the students don't play either sport?"} {"instruction": "A chat. In a certain city, 60% of the population uses public transportation to commute to work. If there are 300,000 people in this city, how many people do not use public transportation for their daily commute?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 mph and then returns to Town A at a speed of 40 mph. If the total travel time is 5 hours, what is the distance between Town A and Town B?"} {"instruction": "A chat. A cyclist travels at an average speed of 15 miles per hour for a total distance of 45 miles. How long does it take them to complete their journey?"} {"instruction": "A chat. There are 100 birds sitting on a fence. If every bird flies away except for one, how many birds are left on the fence?"} {"instruction": "A chat. A hospital wants to optimize its bed allocation for different departments based on patient needs and length of stay. The hospital has 300 beds, distributed among emergency (30%), surgery (40%), and general wards (30%). The average length of stay for patients in these departments are 1 day, 5 days, and 3 days, respectively. Calculate the optimal bed distribution to minimize the waiting time for patients and maximize bed utilization. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A rectangular garden has a length of 20 feet and a width of 15 feet. If you want to build a fence around the entire garden with an additional gate that is 4 feet wide, how many feet of fencing do you need?"} {"instruction": "A chat. Solve the expression: (6 * 4) / 2 + 5^2 - 10"} {"instruction": "A chat. In a factory, Machine A produces 60 units per hour, while Machine B produces 80 units per hour. If both machines work for 8 hours a day, how many total units are produced in one day?"} {"instruction": "A chat. There are 5 cats in a room. Each cat catches 3 mice, but one of the cats is lazy and only catches 1 mouse. How many legs are there in the room?"} {"instruction": "A chat. There are 12 apples in a basket. If you remove half of them and then put back 2 apples, how many apples do you have left in the basket?"} {"instruction": "A chat. In a box, there are 4 red balls, 6 blue balls, and 8 yellow balls. If you randomly pick three balls from the box without replacement, what is the probability that at least two of them will be yellow?"} {"instruction": "A chat. A rectangular room has a length of 12 meters and a width of 8 meters. If you walk around the perimeter of the room starting from one corner and return to the same corner, how many meters have you walked?"} {"instruction": "A chat. If a coffee shop sells 150 cups of coffee every day at an average price of $4 per cup, how much additional revenue will they generate if they increase their sales by 25%?"} {"instruction": "A chat. If a person invests $5,000 in a savings account with an annual interest rate of 3%, compounded quarterly, how much money will they have after 2 years?"} {"instruction": "A chat. A factory has two machines that produce widgets. Machine A produces 20% defective widgets, while machine B produces 10% defective widgets. If a customer receives a defective widget, what is the probability that it came from machine A, given that machine A produced 60% of the total widgets and machine B produced the remaining 40%?"} {"instruction": "A chat. A company has 10 employees and plans to hire 5 more. If each employee currently earns an annual salary of $50,000, what will be the total payroll for all employees after the new hires are added?"} {"instruction": "A chat. A company has an annual budget of $1,200,000. If they allocate 35% for salaries, 25% for office expenses, and the remaining amount for marketing, how much money is allocated for marketing?"} {"instruction": "A chat. A store sells two types of cookies - chocolate chip and oatmeal raisin. In one day, they sell 120 chocolate chip cookies at $0.75 each and 80 oatmeal raisin cookies at $1.00 each. How much money did the store make from selling cookies that day?"} {"instruction": "A chat. If a group of people has an equal number of men and women, and 60% of the men wear glasses while 40% of the women wear glasses, what percentage of the entire group wears glasses?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. After traveling for 30 minutes, the train makes a stop for 15 minutes before continuing its journey. How far has the train traveled after 1 hour and 15 minutes?"} {"instruction": "A chat. If a car factory produces 250 cars per day, and each car requires 4 tires, how many tires are needed for the production of cars in one week?"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour. How long will it take to travel 300 miles? Show your calculations.\n"} {"instruction": "A chat. A theme park is planning to add a new roller coaster to its attraction lineup. The roller coaster will have a capacity of 24 passengers per ride and an estimated hourly throughput of 600 riders. Calculate the expected increase in daily attendance and revenue from this addition, taking into account factors such as ticket prices, seasonality, and competition from other nearby attractions.\n"} {"instruction": "A chat. If you invest $1,000 at an annual interest rate of 5%, how much will your investment be worth after 3 years if it is compounded annually?"} {"instruction": "A chat. There are 100 people in a room. 75% of them are women. How many men are there in the room?"} {"instruction": "A chat. If a person earns $20 per hour and works 8 hours per day, how much do they earn in a month with 22 working days?"} {"instruction": "A chat. Solve the system of linear equations: \n y = 2x - 3\n y = -x + 5\n Provide step-by-step reasoning.\n"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. If it takes 2 hours for the train to travel from Town A to Town B, how far apart are the two towns?"} {"instruction": "A chat. A company is offering a new investment opportunity with an annual interest rate of 5%. If you invest $10,000 today, how much will your investment be worth in 10 years if the interest is compounded quarterly?"} {"instruction": "A chat. Evaluate the expression: 8 / (2 * (3 - 1)) + 4^2"} {"instruction": "A chat. In a game, you need to find the heaviest ball among 8 balls with identical appearances. You have a balance scale that can compare the weight of two groups of balls. What is the minimum number of times you need to use the scale to find the heaviest ball?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes the train 5 hours to travel between two cities. If the train had traveled at a constant speed of 80 miles per hour instead, how long would it have taken for the train to travel between the same two cities?"} {"instruction": "A chat. In a classroom, there are 30 students. Among them, 20 students play soccer, 15 students play basketball, and 8 students play both soccer and basketball. How many students don't play either soccer or basketball?"} {"instruction": "A chat. There are 50 coins on a table, consisting of quarters and dimes. The total value of these coins is $9.45. How many quarters are there on the table?"} {"instruction": "A chat. In a box, there are 4 red balls, 5 green balls, and 6 blue balls. If you randomly pick two balls without replacement, what is the probability that both balls will be of different colors?"} {"instruction": "A chat. A restaurant sells hamburgers and hot dogs. In one week, they sold a total of 350 items and made $2,450 in revenue. If a hamburger costs $8 and a hot dog costs $5, how many hamburgers and hot dogs did they sell?"} {"instruction": "A chat. A group of people are playing a game where they take turns flipping a fair coin. The first person who flips heads wins the game. What is the probability that the third person to flip the coin will be the winner?"} {"instruction": "A chat. A restaurant offers a lunch special with three options for the main course, four options for the side dish, and two options for dessert. How many different lunch combinations can a customer choose from?"} {"instruction": "A chat. A hospital is evaluating the efficiency of its emergency department. On average, there are 120 patients admitted daily, with a 4-hour waiting time before receiving treatment. The hospital has 10 emergency doctors, each working an 8-hour shift per day. To reduce the average waiting time to 2 hours, the hospital is considering hiring additional doctors or extending their shifts. Calculate the number of additional doctors needed or the length of extended shifts required to achieve this goal. Provide step-by-step reasoning.\n"} {"instruction": "A chat. Calculate the compound interest earned on a $5000 investment over five years at an annual interest rate of 4%, compounded quarterly. Provide step-by-step reasoning.\n"} {"instruction": "A chat. There are 5 apples on the table. John takes 2 apples, and Mary takes 1 apple. How many apples are left on the table?"} {"instruction": "A chat. A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many bacteria will there be after 24 hours?"} {"instruction": "A chat. In a room, there are 10 people. Each person has an equal number of friends among the other people in the room. If we know that no one is friends with themselves, how many friends does each person have?"} {"instruction": "A chat. If a train travels at an average speed of 80 kilometers per hour for 3 hours and then increases its speed to 100 kilometers per hour for another 4 hours, what is the total distance traveled by the train?"} {"instruction": "A chat. There are 8 apples in a basket. You take away 5 apples. How many apples do you have?"} {"instruction": "A chat. A factory produces 2000 units of product X per day. Each unit of product X requires 3 units of raw material Y. If there are currently 18,000 units of raw material Y available, how many days can the factory continue producing product X without running out of raw material Y?"} {"instruction": "A chat. A farmer has a rectangular field that measures 300 meters long and 200 meters wide. He wants to build a fence around the entire field but must leave a gap of 10 meters for a gate. What is the total length of fencing needed?"} {"instruction": "A chat. A group of friends decides to play a game where they take turns flipping a fair coin. Each player gets one flip per turn, and the game continues until someone flips heads. What is the probability that the third player will be the one to flip heads for the first time?"} {"instruction": "A chat. A company produces widgets at a cost of $5 per widget and sells them for $12 each. How many widgets must they sell to cover their fixed costs of $3,500?"} {"instruction": "A chat. A train travels at an average speed of 80 kilometers per hour and takes 4 hours to reach its destination. How many minutes does it take for the train to travel half of the distance?"} {"instruction": "A chat. There are 5 red balls and 3 blue balls in a box. If you randomly pick one ball from the box, then put it back, and repeat this process two more times, what is the probability of picking a red ball all three times?"} {"instruction": "A chat. A train travels at a constant speed from Station A to Station B. The distance between the two stations is 120 miles. If it takes the train 2 hours to travel half the distance, how long will it take to travel the entire distance?"} {"instruction": "A chat. In a class of 40 students, 65% of them passed an exam. If each student who passed the exam scored at least 70 points and the maximum score was 100 points, what is the minimum total score for all the students in the class?"} {"instruction": "A chat. If you drive at an average speed of 60 miles per hour for 4 hours, how many kilometers have you traveled?"} {"instruction": "A chat. A printer takes 5 minutes to print 10 pages. How long will it take to print 100 pages?"} {"instruction": "A chat. What is the volume of a sphere with a radius of 5 meters?"} {"instruction": "A chat. Calculate the volume of a sphere with radius 4 cm."} {"instruction": "A chat. Five friends are standing in a row facing north. Alice is to the right of Bob, Carol is to the left of David, and Eve is in the middle. Who is standing at the far right?"} {"instruction": "A chat. In a class of 40 students, 60% passed the math exam, and 75% passed the English exam. If every student passed at least one of the exams, what is the minimum number of students who passed both exams?"} {"instruction": "A chat. If you have a jar containing 8 red marbles, 5 blue marbles, and 7 green marbles, what is the probability of drawing two red marbles consecutively without replacement?"} {"instruction": "A chat. In a town, there are 100 houses. All the red houses are next to blue houses, and all the blue houses are next to green houses. If there are 40 red houses, how many green houses are there?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding new bus routes and increasing the frequency of buses on existing routes. The current number of daily passengers is 50,000, with an average of 20 passengers per bus. The city aims to increase ridership by 30% over the next five years. Calculate the required number of additional buses needed to accommodate this growth, assuming each bus can carry up to 40 passengers at a time. Also, consider that the average operating cost per bus is $150 per day, and provide a step-by-step reasoning for your calculations.\n"} {"instruction": "A chat. A zoo is designing a new exhibit for a group of animals that requires specific temperature and humidity conditions. The exhibit will cover an area of 5,000 square feet and must maintain a constant temperature of 75\u00b0F and a relative humidity of 60%. Calculate the energy consumption and cost associated with maintaining these conditions throughout the year, taking into account seasonal variations in outdoor temperature and humidity.\n"} {"instruction": "A chat. A hospital is evaluating the efficiency of its emergency department (ED). The ED currently sees an average of 300 patients per day, with a staff of 20 doctors and 40 nurses working in shifts. The hospital aims to reduce patient waiting times by 25% without increasing staffing costs. Investigate alternative scheduling models, process improvements, and technology implementations that could help achieve this goal, providing detailed calculations and explanations.\n"} {"instruction": "A chat. (6^2 * 5) / (3 * 4) - 8 ="} {"instruction": "A chat. In a game of cards, there are four players: Alice, Bob, Charlie, and Dave. The winner is determined by the highest card value. Alice's card is higher than Bob's but lower than Charlie's. Dave's card is lower than Bob's. Who cannot be the winner?"} {"instruction": "A chat. In a village, there are 20 houses. Every house has either cats or dogs as pets. If each cat owner has 3 cats and each dog owner has 2 dogs, the total number of pets in the village is 50. How many houses have cats?"} {"instruction": "A chat. If a car factory produces 500 cars per day, and each car requires 4 tires, how many tires does the factory need to have in stock for 20 days of production?"} {"instruction": "A chat. A cruise ship company is planning a new itinerary for a 7-day trip, visiting various ports in different countries. Each port has unique attractions and fees associated with docking, which vary depending on the size of the ship and duration of the stay. Additionally, the company needs to consider fuel costs, food and beverage supplies, and entertainment options for passengers. Develop an approach to determine the most profitable route and describe your reasoning.\n"} {"instruction": "A chat. An airline company plans to expand its services by adding new routes connecting major cities across three continents. The company expects to add 10 new destinations within the first year, increasing the number of flights by 25%. Currently, the airline operates 200 daily flights using a fleet of 50 airplanes. Estimate the additional number of airplanes required to accommodate the expansion, assuming each airplane can operate four flights per day. Also, consider that the company needs to maintain a 10% reserve capacity for maintenance and unexpected events.\n"} {"instruction": "A chat. If a person consumes 2,000 calories per day, how many calories do they consume in a month with 30 days?"} {"instruction": "A chat. A square garden has a side length of 10 meters. A gardener wants to build a circular fountain in the center of the garden, such that its circumference touches all four sides of the square. What is the radius of the circular fountain?"} {"instruction": "A chat. If a pizza has 8 slices and I eat 2 hamburgers, how many slices of pizza are left?"} {"instruction": "A chat. If a car travels at an average speed of 60 miles per hour, how far will it travel in 2.5 hours?"} {"instruction": "A chat. Design an algorithm to solve the traveling salesman problem using dynamic programming techniques. Provide step-by-step reasoning and pseudocode."} {"instruction": "A chat. If a train travels at an average speed of 120 km/h and needs to cover a distance of 600 km, how many minutes will it take to complete the journey?"} {"instruction": "A chat. A factory produces 250 units of a product every day. How many units are produced in a week if the factory operates for 5 days each week?"} {"instruction": "A chat. A snail starts at the bottom of a 12-foot wall. Each day, it climbs up 3 feet and then slides back down 2 feet during the night. How many days will it take for the snail to reach the top of the wall?"} {"instruction": "A chat. A man buys a horse for $60. He sells the horse for $70. He then buys the horse back for $80 and finally sells it again for $90. How much profit did he make in total?"} {"instruction": "A chat. There are 25 red balls and 15 blue balls in a box. You randomly pick one ball, then put it back, and pick another ball. What is the probability of picking a red ball followed by a blue ball?"} {"instruction": "A chat. Design an experiment to test the effect of different light wavelengths on the growth of a specific plant species, detailing your experimental setup and controls.\n"} {"instruction": "A chat. A water tank has a capacity of 10,000 liters. If it takes 3 hours to fill the tank using a pipe with a flow rate of 2,500 liters per hour, how long will it take to empty the tank using a pipe with a flow rate of 1,800 liters per hour?"} {"instruction": "A chat. There are 25 students in a class. Each student has a different number of pencils ranging from 1 to 25. If you randomly select two students, what is the probability that both students have an even number of pencils?"} {"instruction": "A chat. A store offers a discount of 15% on an item priced at $200. If the sales tax is 8%, what is the final price of the item?"} {"instruction": "A chat. Solve for x: 5x - 3 = 2x + 4"} {"instruction": "A chat. A rectangular garden has an area of 200 square meters and a width of 10 meters. What is the length of the garden, and what would be the perimeter if you were to walk around it?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the two towns is 120 miles. If it takes the train 2 hours to travel this distance, what is its average speed during the trip?"} {"instruction": "A chat. A cruise ship is planning a round-the-world voyage lasting six months. The ship has a capacity of 2,000 passengers and requires a crew of 800 staff members. Calculate the total amount of food needed for the entire journey, assuming each person consumes an average of 3 meals per day, with each meal weighing approximately 1 pound. Provide step-by-step reasoning."} {"instruction": "A chat. A man has two children. One day, you meet one of his children, who turns out to be a boy. What is the probability that the other child is also a boy?"} {"instruction": "A chat. A family consists of two parents and their four children. Two of the children are twins. How many ways can they stand in a line for a photo if the twins insist on standing together? Include your logic."} {"instruction": "A chat. There are 50 people in a room. Each person shakes hands with every other person exactly once. How many handshakes occur? Provide step-by-step logic."} {"instruction": "A chat. A company has 12 employees and needs to form a committee of 4 members. The manager insists that she must be on the committee. In how many ways can the committee be formed? Show your reasoning."} {"instruction": "A chat. There are 7 red balls and 3 blue balls in a bag. If you randomly pick two balls without replacement, what is the probability that both balls will be red?"} {"instruction": "A chat. Determine the Fourier series representation of a periodic function, providing step-by-step reasoning.\n"} {"instruction": "A chat. A group of friends went out for dinner and decided to split the bill evenly among them. If there were 5 people in the group and each person paid $12, how much did the entire meal cost?"} {"instruction": "A chat. In a small town, there are two barbers. One barber has a neatly trimmed beard, while the other has an unkempt beard. If you were looking for a good haircut, which barber should you choose?"} {"instruction": "A chat. A rectangular garden has a length of 20 feet and a width of 15 feet. What is the area of the garden, and how many square yards are there?"} {"instruction": "A chat. There are 5 houses in a row, each painted with a different color. The green house is immediately to the left of the white house. The blue house is somewhere to the right of the red house. The yellow house is between the green and blue houses. What is the order of the houses from left to right?"} {"instruction": "A chat. A bakery is expanding its operations and needs to determine how many ovens to purchase for its new facility. Each oven can bake 50 loaves of bread per hour, and the bakery aims to produce 10,000 loaves daily. The bakery operates from 6 am to 6 pm. Calculate the number of ovens needed and the total cost if each oven costs $15,000.\n"} {"instruction": "A chat. There are 5 cats and 3 dogs in a room. Each cat has 4 legs, and each dog has either 3 or 4 legs. If there are a total of 31 legs in the room, how many dogs have 3 legs?"} {"instruction": "A chat. A store sells two types of candies: Type A costs $2 per pound and Type B costs $4 per pound. If a customer buys a total of 8 pounds of candy for $20, how many pounds of each type did they buy?"} {"instruction": "A chat. In a certain city, the probability of rain on any given day is 0.3. What is the probability that it will rain on exactly 2 out of the next 4 days?"} {"instruction": "A chat. If a train travels at a constant speed of 40 km/h and takes 2 hours to reach its destination, what is the distance between the starting point and the destination?"} {"instruction": "A chat. A farmer has a rectangular field that measures 120 meters by 80 meters. He wants to divide the field into square plots of equal size, using the largest possible square plot dimensions. What should be the side length of each square plot?"} {"instruction": "A chat. In a bag, there are 5 red balls, 7 blue balls, and 8 green balls. If you were to pick one ball at random from the bag, what is the probability that the ball is not green?"} {"instruction": "A chat. You have 8 red balls and 12 blue balls in a bag. If you randomly pick one ball at a time without replacing it, what is the probability that the third ball you pick will be red?"} {"instruction": "A chat. If a bee visits 15 flowers in one minute, how many flowers does it visit in one day? Show your reasoning."} {"instruction": "A chat. There are 12 apples on a tree. Half of them fell off. Then, a third of the remaining apples fell off. How many apples are left on the tree? Include your logic."} {"instruction": "A chat. A multinational corporation wants to implement a global employee wellness program to improve overall health and productivity. The company employs 50,000 people across 20 countries. They plan to offer gym memberships, health screenings, and wellness workshops for all employees. Calculate the estimated cost of implementing this program, considering factors such as local gym membership fees, medical service costs, and workshop expenses.\n"} {"instruction": "A chat. If a factory produces 250 units of product A every 4 hours, how many units will it produce in 3 days?"} {"instruction": "A chat. There are three siblings, Alice, Bob, and Carol. The sum of their ages is 60 years. Alice is twice as old as Bob, and Carol is 5 years younger than Alice. How old is Bob?"} {"instruction": "A chat. A car rental company charges a flat fee of $25 per day plus an additional $0.15 per mile driven. How much would it cost to rent a car for 4 days if you drive 200 miles during that time?"} {"instruction": "A chat. If it takes 4 painters 8 hours to paint a house, how long would it take for 6 painters to complete the same job?"} {"instruction": "A chat. A shipping company wants to optimize its cargo loading process by determining the maximum number of containers it can load onto a ship. The ship has a weight capacity of 50,000 tons and a volume capacity of 100,000 cubic meters. Each container weighs 25 tons and has a volume of 40 cubic meters. The company also needs to reserve 5% of the ship's weight capacity for safety reasons. Determine the maximum number of containers the ship can carry while adhering to these constraints and explain your reasoning.\n"} {"instruction": "A chat. A city is planning to build a new public park with various amenities, including playgrounds, sports fields, and walking trails. The total area of the park is 100 acres, with 30% allocated for playgrounds, 40% for sports fields, and the remaining space for walking trails and greenery. Calculate the acreage dedicated to each amenity, as well as the length of walking trails if they are designed to be 10 feet wide on average. Describe your reasoning in steps.\n"} {"instruction": "A chat. A restaurant serves 150 meals per day. Each meal includes 1 main dish, 2 side dishes, and 1 dessert. How many individual items does the restaurant serve in a week? Provide step-by-step logic."} {"instruction": "A chat. If a person consumes an average of 2000 calories per day, how many calories will they consume in a month with 30 days?"} {"instruction": "A chat. A store sells apples in bags containing 6 apples each. If there are 24 customers who want to buy apples, and each customer wants to buy 2 bags, how many apples does the store need to have in stock?"} {"instruction": "A chat. In a certain city, the probability that it will rain on any given day is 0.3. What is the probability that it will not rain for three consecutive days?"} {"instruction": "A chat. If it takes 5 machines to produce 100 widgets in 10 hours, how long would it take for 10 machines to produce 200 widgets?"} {"instruction": "A chat. A rectangle has a length of 15 cm and a width of 8 cm. If you increase the length by 50% and decrease the width by 25%, what will be the new area of the rectangle?"} {"instruction": "A chat. In a class of 40 students, 14 play basketball, 20 play soccer, and 12 play both basketball and soccer. How many students in the class do not play either sport?"} {"instruction": "A chat. A baker uses 2 eggs to make 12 cupcakes. How many eggs will he use if he wants to bake 60 cupcakes?"} {"instruction": "A chat. A theme park is evaluating the efficiency of its ride operations. Each ride has a capacity of 30 people and takes 5 minutes to complete. There are 10 rides operating simultaneously, and the park is open for 12 hours per day. Calculate the maximum number of guests who can experience all rides in a single day, considering a 10-minute wait time between rides for loading and unloading passengers. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A car traveling at an average speed of 60 miles per hour takes a 180-mile trip. How long does the trip take?"} {"instruction": "A chat. In a bag containing 10 red balls, 15 blue balls, and 20 green balls, what is the probability of drawing one ball of each color if you draw three balls without replacement?"} {"instruction": "A chat. A fruit seller sells 150 apples in a day. How many apples does he sell in a month of February in a leap year? Show your work."} {"instruction": "A chat. In a small town, there are 20 houses on one side of the street and 30 houses on the other side. If every house has at least one cat and no more than four cats, what is the minimum number of cats in the town?"} {"instruction": "A chat. In a class of 40 students, 25% are left-handed. If 3 more students become left-handed, what percentage of the class will be left-handed?"} {"instruction": "A chat. A factory produces widgets at a cost of $10 per widget and sells them for $15 each. The fixed costs (rent, utilities, etc.) are $20,000 per month. How many widgets must be sold each month to break even? Provide step-by-step reasoning.\n"} {"instruction": "A chat. Determine the probability of drawing an ace from a standard deck of playing cards. Show your work.\n"} {"instruction": "A chat. In a room, there are 10 people. Each person has an equal number of oranges and apples. The total number of oranges in the room is 50, and the total number of apples is also 50. How many fruits does each person have?"} {"instruction": "A chat. A factory produces 1000 widgets per day. Every widget is tested before being shipped out. The testing process has a 5% false positive rate (meaning it incorrectly identifies a good widget as defective) and a 10% false negative rate (meaning it incorrectly identifies a defective widget as good). If there are actually 50 defective widgets produced per day, how many good widgets will be incorrectly identified as defective?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed. Halfway through the journey, the train stops for 15 minutes due to a technical issue. If the total travel time is 2 hours and 15 minutes, how long does it take for the train to travel from City A to City B without any stops?"} {"instruction": "A chat. A factory produces widgets at a rate of 500 per hour. Due to an increase in demand, they decide to increase production by 20% every week for the next 4 weeks. How many widgets will be produced in the 4th week?"} {"instruction": "A chat. A train leaves station A at 60 mph heading towards station B. At the same time, another train leaves station B at 80 mph heading towards station A. Station A and B are 300 miles apart. Which train will be closer to station A when they meet?"} {"instruction": "A chat. Evaluate the expression (6^2 / 3) * 5 - 10 + 4."} {"instruction": "A chat. Every second, a faucet drips 3 drops of water. How many drops does it drip in a day? Show your work."} {"instruction": "A chat. A company has two factories that produce widgets. Factory X produces 300 widgets per day at a cost of $5 per widget, while Factory Y produces 200 widgets per day at a cost of $7 per widget. What is the combined daily production cost for both factories?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 12 feet and a height of 15 feet. What is its volume in gallons?"} {"instruction": "A chat. Solve: ((7 - 3)^2 * (9 / 3)) / 2 ="} {"instruction": "A chat. A group of people consists of men, women, and children. There are twice as many women as there are men, and three times as many children as there are women. If there are 24 people in the group, how many men are there?"} {"instruction": "A chat. There are 100 people in a room. 75% of them have brown eyes, and 40% of them have blonde hair. What is the maximum number of people who could have both brown eyes and blonde hair?"} {"instruction": "A chat. A factory produces 200 units of product A in 5 hours. How long will it take to produce 500 units if the production rate remains constant?"} {"instruction": "A chat. If a baker uses 8 eggs for every 12 muffins he bakes, how many eggs will he need to bake 60 muffins?"} {"instruction": "A chat. A shipping company wants to optimize its fleet of cargo ships to reduce fuel consumption and emissions. The company currently operates 50 cargo ships, each with a carrying capacity of 2,000 tons and an average fuel consumption rate of 50 gallons per nautical mile. They plan to replace 25% of their existing fleet with newer, more efficient ships that consume 40 gallons per nautical mile. Calculate the overall reduction in fuel consumption and emissions achieved through this fleet upgrade, assuming that each ship travels an average of 5,000 nautical miles per month."} {"instruction": "A chat. If a bacteria population doubles every 3 hours, how many times will it have doubled after one day? Explain your reasoning."} {"instruction": "A chat. A train leaves Town A at 9 am and arrives in Town B at 11 am. Another train leaves Town B at 10 am and arrives in Town A at noon. If both trains travel at a constant speed, which train is faster?"} {"instruction": "A chat. There are 5 red balls and 7 blue balls in a bag. If you randomly pick two balls from the bag without replacement, what is the probability that one ball is red and the other is blue?"} {"instruction": "A chat. A theme park wants to improve its visitor experience by reducing wait times for popular attractions. The park has ten major rides, each with an average wait time of 45 minutes during peak hours. The park's management aims to reduce the average wait time to 30 minutes by increasing ride capacity or efficiency. Describe the steps needed to analyze the current situation and propose potential solutions while considering factors such as ride throughput, visitor flow, and operational constraints.\n"} {"instruction": "A chat. A library has 12 shelves of books. Each shelf holds 30 books. How many books are in the library? Show your reasoning."} {"instruction": "A chat. John can paint a room in 6 hours, while Jane can paint the same room in 8 hours. If they both start painting at the same time, how long will it take them to finish painting the room together?"} {"instruction": "A chat. In a group of friends, John is taller than Mark, Mark is taller than Susan, and Susan is shorter than Lily. Is Lily taller than John?"} {"instruction": "A chat. In a room, there are 4 cats and each cat has 3 kittens. Each kitten has 2 toys. How many legs are in the room?"} {"instruction": "A chat. A factory produces 500 cars every week. How many cars does it produce in a year? Provide step-by-step logic."} {"instruction": "A chat. A large hospital is evaluating its emergency room (ER) performance metrics and aims to improve patient wait times. On average, the ER receives 300 patients per day, with a peak time of 6 hours when the number of patients doubles. The hospital has 50 ER beds and a staff of 100 doctors and nurses working in shifts. Calculate the average patient wait time during peak hours, assuming each bed is occupied for an hour on average. Propose strategies to reduce wait times and improve overall ER efficiency.\n"} {"instruction": "A chat. A train travels from Station X to Station Y at an average speed of 80 km/h and returns at an average speed of 100 km/h. The total travel time for the round trip is 10 hours. What is the distance between Station X and Station Y?"} {"instruction": "A chat. In a city with a population of 200,000 people, 55% are adults and the rest are children. If 75% of the adult population has received a vaccine, how many people have not been vaccinated?"} {"instruction": "A chat. A factory produces 500 units of a product every 8 hours. If the factory operates for 16 hours per day, how many units will it produce in one week?"} {"instruction": "A chat. A hospital is conducting a study on the effectiveness of different diets in reducing the risk of heart disease. They have recruited 500 participants who will follow one of five diet plans for a year. Each participant must attend monthly check-ups, which cost $50 per visit. At the end of the study, the hospital will provide a cash incentive of $200 to each participant as compensation. Calculate the total cost of the study, factoring in the check-up fees and incentives. Explain your reasoning.\n"} {"instruction": "A chat. In a family gathering, there are 15 people. Each person shakes hands with every other person exactly once. How many handshakes occur in total?"} {"instruction": "A chat. A company has 12 employees and wants to form a committee of 3 people. How many different committees can be formed from these employees?"} {"instruction": "A chat. A car rental company charges $25 per day plus an additional fee of $0.15 per mile driven. How much would it cost to rent a car for 3 days and drive 200 miles?"} {"instruction": "A chat. If a recipe calls for 8 cups of flour to make 16 servings, how many cups of flour are needed to make 40 servings?"} {"instruction": "A chat. In a town, there are 5 families. Each family has at least one child. The Smiths have two more children than the Johnsons. The Browns have three fewer children than the Smiths. The Garcias have twice as many children as the Johnsons. The Robinsons have half as many children as the Browns. How many children do the Johnsons have?"} {"instruction": "A chat. A car travels 120 miles in 3 hours. It then increases its speed by 20 mph and continues traveling for another 2 hours. What is the average speed of the car for the entire trip?"} {"instruction": "A chat. Determine the Jordan canonical form of the matrix C = [[2, 1], [0, 2]]."} {"instruction": "A chat. A train travels from City A to City B in 8 hours. On its return trip, it takes 12 hours due to bad weather conditions. What is the train's average speed if the distance between City A and City B is 240 miles?"} {"instruction": "A chat. A store is having a 20% off sale on all items. If a shirt originally costs $25, what will be its price after the discount? Explain your steps.\n"} {"instruction": "A chat. A city is planning to build a new public transportation system consisting of buses and trains. The total budget for the project is $50 million, with each bus costing $300,000 and each train costing $2 million. The city wants to maximize passenger capacity while staying within the budget. Each bus can accommodate 60 passengers, while each train can hold up to 500 passengers. Calculate the optimal number of buses and trains to purchase, considering maintenance costs of $10,000 per bus and $100,000 per train annually. Provide step-by-step reasoning.\n"} {"instruction": "A chat. There are three doors in a room. Behind one door is a prize, and behind the other two doors are goats. You choose Door 1. The host, who knows what's behind each door, opens Door 3 to reveal a goat. He then asks if you want to switch your choice to Door 2 or stick with Door 1. What should you do?"} {"instruction": "A chat. A car park charges $1.50 for the first hour or part thereof, and $1.00 for each subsequent hour or part thereof. How much would it cost to park for 5 hours and 10 minutes? Break down your calculation."} {"instruction": "A chat. Calculate the electric field due to a point charge q at distance r from the charge."} {"instruction": "A chat. A jar contains 4 red candies, 3 green candies, and 2 blue candies. What is the probability of picking a green candy without looking? Show your work."} {"instruction": "A chat. In a game show, contestants must choose one door out of three. Behind one door is a car, while behind the other two doors are goats. After a contestant chooses a door, the host (who knows what is behind each door) opens one of the remaining doors with a goat behind it. The contestant then has the option to switch their choice to the other unopened door or stick with their original choice. What is the probability of winning the car if the contestant decides to always switch doors?"} {"instruction": "A chat. A rectangular room has a length of 20 feet and a width of 15 feet. If you want to cover the entire floor with square tiles measuring 2 feet on each side, how many tiles will you need?"} {"instruction": "A chat. If a company invests $10,000 at an annual interest rate of 5%, compounded quarterly, how much money will they have after 3 years?"} {"instruction": "A chat. In a family gathering, there are 10 people including you. Each person shakes hands with every other person exactly once. How many handshakes take place in total?"} {"instruction": "A chat. A company has a starting capital of $100,000 and expects an annual return on investment (ROI) of 7%. If they reinvest all profits back into the business, what will their total capital be after 5 years?"} {"instruction": "A chat. A store sells packs of pencils with 4 different colors: red, blue, green, and yellow. Each pack contains 3 pencils of each color. If you buy 2 packs and randomly select 6 pencils, what is the probability that you have at least one pencil of each color?"} {"instruction": "A chat. A company has two departments, A and B. Department A has 30 employees who each work 40 hours per week, while department B has 25 employees who each work 35 hours per week. What is the combined average number of hours worked per employee in both departments?"} {"instruction": "A chat. If a person invests $10,000 at an annual interest rate of 5%, compounded monthly, how much will their investment be worth after 3 years?"} {"instruction": "A chat. There are 4 houses in a row. Each house is painted with one of the following colors: red, blue, green, or yellow. The red house is not next to the blue house. The green house is between the yellow and blue houses. What color is the first house?"} {"instruction": "A chat. A company has an annual revenue of $1,200,000 and spends 30% on salaries, 20% on rent, and 10% on marketing. How much money does the company have left after these expenses?"} {"instruction": "A chat. A rectangular garden has a length of 30 meters and a width of 20 meters. The owner wants to increase the area of the garden by 50% by extending it in only one direction (either lengthwise or widthwise). How many meters should the garden be extended in the chosen direction?"} {"instruction": "A chat. If a farmer has 12 cows and each cow produces 15 liters of milk per day, how much milk will the farmer have after one week?"} {"instruction": "A chat. A company produces two types of products, A and B. Each unit of product A requires 2 hours of labor and each unit of product B requires 3 hours of labor. The company has a maximum of 240 hours of labor available per week. If the profit per unit of product A is $10 and the profit per unit of product B is $15, how many units of each product should be produced to maximize weekly profit?"} {"instruction": "A chat. A train travels at a speed of 60 mph for the first hour, then slows down to 40 mph for the next two hours. After that, it speeds up to 80 mph for the last hour of its journey. What is the train's average speed during the entire trip?"} {"instruction": "A chat. A train travels at an average speed of 80 kilometers per hour for 5 hours. If it stops for a total of 1 hour during its journey, how long does the entire trip take?"} {"instruction": "A chat. If there are approximately 7.9 million species on Earth and about 15% of them are mammals, how many mammal species are there?"} {"instruction": "A chat. If a concert hall has 20 rows with 30 seats in each row, how many different ways can you choose 2 adjacent seats in any row?"} {"instruction": "A chat. If a die is rolled three times, what is the probability that the sum of the numbers rolled will be exactly 12?"} {"instruction": "A chat. In a group of 50 people, 30% are left-handed. If 3 more left-handed people join the group, what percentage of the group will be left-handed?"} {"instruction": "A chat. A factory produces 1000 widgets per day, with a defect rate of 2%. If defective widgets cost the company $10 each in lost revenue, how much money does the company lose due to defects over the course of a 30-day month?"} {"instruction": "A chat. A snail starts climbing a 30-foot tree at a constant speed. It takes the snail 5 days to climb up and reach the top of the tree. However, during each night, while resting, it slides down 2 feet. How many days does it take for the snail to reach the bottom of the tree after reaching the top?"} {"instruction": "A chat. A telecommunications company wants to improve its network coverage and capacity by upgrading existing cell towers and deploying new ones. The current network consists of 10,000 towers, covering a geographic area of 1 million square miles. The goal is to increase network capacity by 30% while maintaining a minimum signal strength of -85 dBm for 95% of the covered area. Determine the optimal locations for new towers and upgrades, taking into account factors such as terrain, population density, and interference from other radio sources. Describe your approach and any additional data needed for this task.\n"} {"instruction": "A chat. Alice has 100 coins and trades 20 for stamps. Bob then asks Alice for a pencil. How many erasers does Alice have left?"} {"instruction": "A chat. In a town, there are 100 houses. Every house has a cat that lives in it. Each cat can catch one mouse per day. However, every third house also has a dog that chases away the cat and prevents it from catching any mice. How many mice will be caught by cats in this town after one day?"} {"instruction": "A chat. A train leaves Station A at 60 mph heading towards Station B, which is 180 miles away. At the same time, another train leaves Station B at 40 mph heading towards Station A. When they meet, which train will be closer to Station A?"} {"instruction": "A chat. A company offers two types of memberships: basic and premium. The basic membership costs $40 per month, while the premium membership costs $70 per month. If there are 200 basic members and 100 premium members, what is the company's total monthly revenue from memberships?"} {"instruction": "A chat. A car rental agency has 15 cars available for rent. Each car can be rented for either a daily rate of $50 or a weekly rate of $250. If all cars are rented out and the total revenue collected is $3,750, how many cars were rented at the daily rate and how many were rented at the weekly rate?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes 30 minutes for the train to travel through a tunnel. If the length of the tunnel is half the distance the train covers in 30 minutes, how long is the tunnel?"} {"instruction": "A chat. A car travels at a constant speed of 60 miles per hour for 3 hours. It then stops for an hour to refuel and rest before continuing its journey at a constant speed of 80 miles per hour for another 2 hours. What is the average speed of the car during the entire trip?"} {"instruction": "A chat. In a village, there are 20 houses. Each house has a dog living in it. If each dog barks at exactly three other dogs from different houses, how many total barking incidents occur?"} {"instruction": "A chat. A car rental company has 12 cars available for rent. Of these, 4 are red, 6 are blue, and 2 are green. If a customer chooses a car at random, what is the probability that they choose a red or green car?"} {"instruction": "A chat. A farmer has 20 pigs and chickens in total. If there are 56 legs among all the animals, how many pigs does the farmer have?"} {"instruction": "A chat. A team of three painters can paint a house in 6 days. How long would it take for a team of six painters to paint the same house?"} {"instruction": "A chat. A construction company is bidding on a project to build a series of bridges connecting several islands. There are 8 islands in total, with varying distances between them. The company needs to consider factors such as materials, labor, transportation, and environmental impact when calculating the total cost of the project. Describe in steps how this calculation can be done, and which variables to consider.\n"} {"instruction": "A chat. A train leaves Town A traveling at 80 km/h toward Town B, which is 240 km away. At the same time, another train leaves Town B traveling at 100 km/h toward Town A. When will they meet?"} {"instruction": "A chat. A factory produces 500 units of product A every day and sells it for $30 per unit. The cost of producing one unit of product A is $10. How much profit does the factory make after selling its entire production for 25 days?"} {"instruction": "A chat. A car rental company charges $20 per day to rent a car, plus an additional fee of $50 for insurance. If you rent a car for 5 days, what will be the total cost?"} {"instruction": "A chat. A group of friends went to a restaurant and ordered food worth $150. They decided to give a tip of 18% on the total bill. How much was the total amount they paid, including the tip?"} {"instruction": "A chat. A dog barks at a frequency of 500 Hz. How many cats can hear this sound?"} {"instruction": "A chat. A company wants to improve its employees' productivity by offering free coffee throughout the day. They have 500 employees working in three shifts: morning (40%), afternoon (30%), and night (30%). Each employee consumes an average of two cups of coffee per shift. The cost of providing coffee includes $0.25 per cup for ingredients and $100 per month for machine maintenance. Calculate the monthly cost of providing free coffee to all employees and determine if it's feasible within a budget of $3,000 per month.\n"} {"instruction": "A chat. A factory produces 500 units of product A and 800 units of product B per day. Product A requires 2 square meters of storage space per unit, while product B requires 3 square meters of storage space per unit. How much total storage space is needed for one day's production of both products?"} {"instruction": "A chat. In a class of 40 students, 25% of them play basketball, 35% play soccer, and 15% play both basketball and soccer. How many students do not play either basketball or soccer?"} {"instruction": "A chat. Solve the differential equation dy/dx = y/x with initial condition y(1) = 1."} {"instruction": "A chat. A company produces 200 units of a product per day. The production cost for each unit is $15, and they sell each unit for $25. What is their profit after selling all the products produced in 30 days?"} {"instruction": "A chat. If you read 30 pages of a book per day, how many books of 120 pages each can you read in a month of 30 days? Show your steps."} {"instruction": "A chat. In a village, there are 20 houses. Each house has either a red or blue door. If a house with a red door is next to a house with a blue door, the owners of both houses must pay a fine. There are 12 fines in total. How many houses have red doors?"} {"instruction": "A chat. Alice has 20 apples. She gives half to Bob and eats one herself. How many oranges does she have left?"} {"instruction": "A chat. A train travels from City A to City B at an average speed of 50 mph and takes 4 hours to complete the journey. On its return trip, the train travels at an average speed of 70 mph. How long does it take for the train to travel back to City A?"} {"instruction": "A chat. If a car rental company has 200 cars and rents out 80% of them, how many more cars do they need to purchase in order to have 50 cars available for rent at all times?"} {"instruction": "A chat. A car travels at a constant speed of 60 miles per hour. If it takes 3 hours to travel from point A to point B, how far apart are points A and B?"} {"instruction": "A chat. In a town, there are 3 barbers. Barber A has the best haircut in town, Barber B has the second-best haircut, and Barber C has the worst haircut. If each barber only cuts other people's hair and not their own, who should you go to for the best haircut?"} {"instruction": "A chat. In a small town, every man has a unique beard style. No two men in the town have the same beard style. If there are 1000 men in the town, how many different beard styles are there?"} {"instruction": "A chat. A box contains 4 red balls, 3 blue balls, and 5 green balls. If you draw 3 balls at random without replacement, what is the probability that exactly one of them will be red?"} {"instruction": "A chat. A town's population increases by 5% each year. If the current population is 20,000, what will it be in 3 years? Show your steps."} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. It takes 2 hours to travel from station A to station B. How long would it take for the same train to travel back from station B to station A if its speed is increased by 50%?"} {"instruction": "A chat. There are 120 students in a school. Every student reads either English or French or both. The number of students who read English is 70 and the number of students who read French is 80. How many students read both English and French?"} {"instruction": "A chat. A factory produces 500 widgets in 8 hours. If the factory operates 16 hours a day, how many widgets does it produce in a week (7 days)? Provide step-by-step logic."} {"instruction": "A chat. A group of people wants to split a bill evenly among themselves. If the total bill is $120 and they want to leave a 20% tip, how much should each person pay if there are 5 people in the group?"} {"instruction": "A chat. A store sells two types of toys: cars and dolls. If the ratio of cars to dolls is 5:7, and there are a total of 48 toys, how many cars and dolls are there?"} {"instruction": "A chat. In a family, there are 2 parents and 4 children. Each child has exactly 3 siblings. How many total siblings do all the children have combined?"} {"instruction": "A chat. A rectangular garden has a width of 10 meters and a length of 25 meters. What is the area of the garden?"} {"instruction": "A chat. A car has 5 tires (including the spare). Each tire has a lifespan of 50,000 miles. How many miles can the car travel before all tires (including the spare) have been worn out, assuming each tire is used equally? Provide step-by-step logic."} {"instruction": "A chat. A man has 8 pairs of socks in his drawer, but all the socks are mixed up. If he randomly picks out socks without looking, how many socks does he need to pick to guarantee he gets a matching pair?"} {"instruction": "A chat. In a small town, there are 5 houses in a row. The green house is next to the white house. The red house is not at either end of the row. The blue house is between the yellow and green houses. What color is the house on the far left?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. If it takes 2 hours to reach its destination, how long would it take for the train to travel twice the distance at half the speed?"} {"instruction": "A chat. In a family of five children, each child has one brother and three sisters. What is the gender composition of the children in the family?"} {"instruction": "A chat. Determine the Fourier series representation of the function f(x) = x on the interval [-pi, pi]."} {"instruction": "A chat. A rectangular garden has a length of 30 feet and a width of 20 feet. If you want to build a fence around the entire garden with posts every 5 feet, how many fence posts will you need?"} {"instruction": "A chat. In a small town, there are 3 barbers. Barber A has a really nice haircut, Barber B has an average haircut, and Barber C has a terrible haircut. Assuming all three barbers have the same level of skill, which barber should you go to for the best haircut?"} {"instruction": "A chat. If there are approximately 7.9 billion people on Earth and each person has an average of 5,000 thoughts per day, how many total thoughts occur daily?"} {"instruction": "A chat. A factory produces 500 units of product A in 8 hours. How long will it take to produce 750 units if the production rate remains constant?"} {"instruction": "A chat. In a village, there are 100 houses. Each house has either a red or blue door. If the first house has a red door and every third house after that also has a red door, how many houses have blue doors?"} {"instruction": "A chat. A snail moves at a speed of 0.03 km/hour. How far would the snail travel in a month (considering a month as 30 days)? Show your work."} {"instruction": "A chat. A rectangular room has a length of 24 feet and a width of 18 feet. The room is to be covered with square tiles measuring 2 feet by 2 feet each. What is the minimum number of tiles needed to cover the entire floor?"} {"instruction": "A chat. If a square has an area of 64 square units, what is the length of its diagonal?"} {"instruction": "A chat. A bag contains 6 red balls, 4 blue balls, and 5 green balls. You draw 3 balls at random without replacement. What is the probability that you draw exactly 2 red balls and 1 ball of another color?"} {"instruction": "A chat. A baker uses 5 eggs for every cake he bakes. If he has 60 eggs, how many cakes can he bake? Provide reasoning."} {"instruction": "A chat. A car's fuel efficiency is rated at 30 miles per gallon. If the car has a 12-gallon fuel tank, how many kilometers can it travel on a full tank?"} {"instruction": "A chat. A group of people wants to split a restaurant bill evenly among themselves. The total bill is $150, and they want to leave a 20% tip. How much should each person pay if there are 6 people in the group?"} {"instruction": "A chat. In a group of 100 people, 80 have dogs, 60 have cats, and 40 have both dogs and cats. How many people have neither a dog nor a cat?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 mph. The distance between the two towns is 240 miles. Halfway through the journey, the train increases its speed to 80 mph for the remaining distance. What is the average speed of the train during the entire trip?"} {"instruction": "A chat. There are three switches outside a room, and each corresponds to one of the three light bulbs inside the room. You cannot see the lights from outside the room. How can you determine which switch controls which light bulb if you can enter the room only once?"} {"instruction": "A chat. A bag contains 5 red marbles, 4 green marbles, and 6 blue marbles. If you randomly pick one marble from the bag, what is the probability that it will be either red or green?"} {"instruction": "A chat. A large hospital is evaluating its emergency room (ER) wait times and staffing levels. On average, the ER sees 500 patients per day, with each patient requiring 30 minutes of care from a nurse. There are three 8-hour shifts, and each nurse can care for one patient at a time. Calculate the number of nurses needed per shift to maintain an average wait time of no more than 1 hour per patient. Also, consider that nurses require 30 minutes of break time during their shift.\n"} {"instruction": "A chat. In a class, there are 20 students. Among them, 12 play basketball, 8 play soccer, and 5 play both basketball and soccer. How many students do not play either sport?"} {"instruction": "A chat. An automotive manufacturer is planning to launch a new electric vehicle (EV) model in the market. The EV has a range of 300 miles on a single charge and can be recharged at home or at public charging stations. The company wants to establish a network of fast-charging stations along major highways to support long-distance travel for its customers. Determine the optimal number and location of charging stations needed to cover a 1,000-mile highway corridor, considering factors such as charging time, station capacity, and customer convenience."} {"instruction": "A chat. In a room, there are 4 people and a dog. Each person has a cat. How many legs are in the room?"} {"instruction": "A chat. A car traveling at 60 miles per hour takes 5 hours to reach its destination. How far did the car travel?"} {"instruction": "A chat. A farmer has a rectangular field with a length of 120 meters and a width of 80 meters. He wants to plant trees along the perimeter of the field such that each tree is planted exactly 10 meters apart from its neighbors. How many trees will he need?"} {"instruction": "A chat. A train leaves from New York City heading towards Los Angeles at 100 mph. Three hours later, a train leaves Los Angeles heading towards New York City at 200 mph. If they maintain their speeds, which train will be closer to New York City when they meet?"} {"instruction": "A chat. In a class of 40 students, 60% have brown eyes, 30% have blue eyes, and the remaining students have green eyes. How many more students have brown eyes than blue eyes?"} {"instruction": "A chat. A large bakery needs to optimize its production schedule to meet customer demand while minimizing waste. They produce three types of bread: white, wheat, and multigrain. Each type requires different amounts of flour, water, and yeast, as well as varying baking times. White bread uses 2 pounds of flour, 1 pound of water, and 0.5 ounces of yeast, with a baking time of 30 minutes. Wheat bread uses 1.5 pounds of flour, 1.2 pounds of water, and 0.6 ounces of yeast, with a baking time of 40 minutes. Multigrain bread uses 1.8 pounds of flour, 1 pound of water, and 0.7 ounces of yeast, with a baking time of 45 minutes. The bakery has a daily capacity of producing 5,000 pounds of bread and operates for 12 hours per day. Calculate the optimal production mix to maximize output while staying within their resource constraints."} {"instruction": "A chat. Determine the stability of an equilibrium point of a nonlinear dynamical system."} {"instruction": "A chat. A rectangular garden measures 12 meters by 18 meters. If you want to build a walkway around the garden with a uniform width of 2 meters, what will be the area of the walkway?"} {"instruction": "A chat. It takes 30 minutes to cook 3 cups of rice in a rice cooker. How long will it take to cook 12 cups of rice?"} {"instruction": "A chat. A city wants to improve its public transportation system by adding new bus routes. The city has a population of 1 million people, with an average daily ridership of 100,000 passengers. Each bus can accommodate up to 50 passengers at a time, and the city currently operates 500 buses on various routes. They have a budget of $2 million to purchase additional buses, each costing $250,000. Calculate how many new buses the city can acquire and estimate the potential increase in daily ridership based on their investment.\n"} {"instruction": "A chat. A company has 10 employees. Each employee sends 5 emails every day. How many emails are sent by the company in a year, assuming they work 250 days a year? Show your steps."} {"instruction": "A chat. The average person takes about 5,000 steps per day. How many steps would a person take in a year if they maintained this daily average?"} {"instruction": "A chat. There are four people in a room and one more person enters. Each person shakes hands with every other person once. How many handshakes occur? Provide step-by-step logic."} {"instruction": "A chat. The population of a city increases by 2% every year. If the current population is 50,000, what will be the population after 3 years?"} {"instruction": "A chat. A farmer has a rectangular field that is 300 meters long and 150 meters wide. He wants to plant trees along the perimeter of the field, with one tree every 10 meters. How many trees does he need to plant?"} {"instruction": "A chat. What is the probability of rolling two six-sided dice and getting a sum of 7?"} {"instruction": "A chat. Determine the probability of rolling a sum of 7 when rolling two six-sided dice, providing step-by-step reasoning.\n"} {"instruction": "A chat. How many miles would a person walk in a week if they walked 5 miles every day?"} {"instruction": "A chat. ((7 - 3)^2 + (9 / 3) - 1) * 4 - 5 ="} {"instruction": "A chat. There are 5 houses in a row, each painted a different color. The person living in the red house drinks coffee. The person living in the green house drinks tea. The person living in the blue house drinks milk. The person living in the yellow house drinks water. Who lives in the white house?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding new buses and extending routes. The current fleet has 100 buses, each with a capacity of 50 passengers. The city wants to increase the total passenger capacity by 20% while maintaining an average occupancy rate of 80%. Calculate the number of additional buses needed and estimate the cost if each bus costs $300,000. Also, consider that each extended route will require an additional driver at an annual salary of $40,000. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A sports league is planning to construct a new stadium for its championship games. The stadium must have a seating capacity of at least 60,000 spectators and include facilities such as parking lots, restrooms, and concession stands. Estimate the total construction cost and timeline for completing the project, taking into consideration factors such as land acquisition, materials, labor, and permits.\n"} {"instruction": "A chat. If a concert hall has 25 rows of seats and each row can accommodate 40 people, what is the maximum number of people that can be seated if only every other row is used?"} {"instruction": "A chat. A baker uses 2 eggs to make 3 cupcakes. How many eggs does he need to make 18 cupcakes? Show your work."} {"instruction": "A chat. In a small village, there are 50 houses. Every house has at least one dog, but no more than three dogs. The total number of dogs in the village is exactly 100. How many houses have three dogs?"} {"instruction": "A chat. How many miles would a person walk in one year if they walked 5 miles every day?"} {"instruction": "A chat. There are 8 apples and 12 oranges in a basket. John takes half of the apples and a third of the oranges. How many fruits does he have now?"} {"instruction": "A chat. In a group of 20 people, what is the probability that at least two people share the same birthday? Assume that each person's birthday is equally likely to occur on any of the 365 days in a year."} {"instruction": "A chat. A store offers a discount on bulk purchases. If you buy 5 items or more, you get a 20% discount. How much would you save if you bought 10 items worth $15 each?"} {"instruction": "A chat. There are 50 apples in a basket. You take out 10 apples and put them in another basket. How many apples are left in the first basket?"} {"instruction": "A chat. In a game show, contestants can choose between two doors. Behind one door is a prize worth $1000, while behind the other door is a prize worth $500. If a contestant chooses the $1000 door, they have the option to trade it for the $500 door and receive an additional mystery prize. The mystery prize has an equal chance of being worth $250, $750, or $1500. Should a contestant trade the $1000 door for the $500 door and the mystery prize?"} {"instruction": "A chat. A store offers a discount on bulk purchases of candy bars. If you buy 10 or more candy bars, each one costs $1.20 instead of the regular price of $1.50. How much money would you save by buying 15 candy bars with the bulk discount?"} {"instruction": "A chat. In a village, there are 20 houses. Each house has 4 windows. One day, a storm breaks one window in each house. How many unbroken windows are left?"} {"instruction": "A chat. You're driving a bus with 12 passengers on board. At the first stop, 4 passengers get off and 6 new passengers get on. At the second stop, 8 passengers get off and 2 new passengers get on. What color are the driver's eyes?"} {"instruction": "A chat. If a tree produces 200 apples in one season, and each apple has an average of 10 seeds, how many trees could potentially grow from those seeds if every seed produced a tree? Show your reasoning."} {"instruction": "A chat. A hospital wants to improve its emergency response time by increasing the number of available ambulances. Currently, there are 20 ambulances, and each ambulance takes an average of 45 minutes for a round trip. The hospital aims to reduce the average waiting time for patients by 15%. Calculate the number of additional ambulances required to achieve this goal, considering no change in the average round-trip time. Explain your reasoning.\n"} {"instruction": "A chat. If a group of people have an average age of 30 years, and one person aged 60 leaves the group, what will be the new average age of the group?"} {"instruction": "A chat. If there are approximately 7.9 million species on Earth, and about 950,000 of them are insects, what percentage of species are insects?"} {"instruction": "A chat. In a school, there are 60% boys and 40% girls. If there are 240 more boys than girls, how many students are there in total?"} {"instruction": "A chat. If you were to travel from the Earth to the Moon at an average speed of 60 miles per hour, how long would it take to reach the Moon?"} {"instruction": "A chat. If a baker bakes 12 loaves of bread every hour for 8 hours a day, how many loaves does he bake in a week? Demonstrate your reasoning."} {"instruction": "A chat. A box contains 4 red balls, 3 blue balls, and 2 green balls. If you randomly pick one ball, replace it, and then pick another ball, what is the probability that both balls are red?"} {"instruction": "A chat. In a class of 30 students, 18 are taking math, 20 are taking history, and 12 are taking both math and history. How many students are taking neither math nor history? Provide step-by-step logic."} {"instruction": "A chat. If you roll two fair six-sided dice, what is the probability that their sum will be prime?"} {"instruction": "A chat. There are 5 boxes in a room, each containing either apples or oranges. Box A contains twice as many apples as box B, and box C has half the number of oranges as box D. If box E has both apples and oranges, can you determine which box has the most fruit?"} {"instruction": "A chat. A cruise ship company wants to increase its revenue by offering customized vacation packages to passengers. The company operates five ships, each with a capacity of 2,000 passengers. They plan to offer three types of packages: Basic, Premium, and Luxury. The Basic package costs $1,500 per person, the Premium package costs $2,500 per person, and the Luxury package costs $4,000 per person. The company expects that 60% of passengers will choose the Basic package, 30% will choose the Premium package, and 10% will choose the Luxury package. Calculate the total revenue generated from each type of package and the overall revenue if all ships are fully booked.\n"} {"instruction": "A chat. In a room, there are 5 cats. Each cat catches 4 mice in an hour. After catching the mice, each mouse takes 3 minutes to be eaten by the cat that caught it. How long does it take for all the mice to be eaten?"} {"instruction": "A chat. A company has a budget of $10,000 for employee bonuses. The management decides to give each employee a bonus of $250 plus an additional $50 for every year they have worked at the company. If the average years of service among employees is 5 years, how many employees can receive bonuses within the budget?"} {"instruction": "A chat. A restaurant sells two types of meals - Meal A and Meal B. The profit for Meal A is $4 per meal, while the profit for Meal B is $6 per meal. If the restaurant wants to make at least $1000 in profit from selling 200 meals, how many of each type of meal must they sell?"} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" Each box contains either only apples, only oranges, or a mix of both fruits. All three labels are incorrect. If you randomly pick one fruit from the \"Mixed\" box and find an apple, what are the contents of the other two boxes?"} {"instruction": "A chat. A factory produces 200 widgets per hour and operates 8 hours a day. If they decide to increase production by 25%, how many widgets will be produced in one week?"} {"instruction": "A chat. If a rectangular garden measures 30 feet in length and 20 feet in width, how much fencing will be needed to enclose the entire garden?"} {"instruction": "A chat. In a family of 5 children, the youngest child is half the age of the oldest child. The middle child is twice as old as the youngest child. If the sum of all their ages is 50 years, how old is the second youngest child?"} {"instruction": "A chat. In a school, there are 120 students in total. If the ratio of boys to girls is 3:5, how many boys and girls are there in the school?"} {"instruction": "A chat. A construction company is planning to build a new residential complex consisting of 10 apartment buildings, each with 50 units. The company needs to estimate the total cost of construction, taking into account factors such as land acquisition, building materials, labor costs, and permits. Additionally, they need to calculate the projected revenue from selling or renting the units once completed. Provide a detailed breakdown of the various costs involved and describe your reasoning.\n"} {"instruction": "A chat. A factory produces 500 units of product A in one day. Each unit costs $15 to produce. How much will it cost to produce 500 units of product A for 5 days?"} {"instruction": "A chat. A car travels at a constant speed of 60 miles per hour. If it takes 2 hours to travel from Town A to Town B, how far apart are the two towns?"} {"instruction": "A chat. Three friends, Alice, Bob, and Carol, decide to share the cost of a $60 gift for their teacher. Alice contributes twice as much as Bob, and Carol contributes half as much as Alice. How much does each person contribute?"} {"instruction": "A chat. A rectangular garden has a length of 30 meters and a width of 20 meters. If you walk around the perimeter of the garden twice, how many meters will you have walked?"} {"instruction": "A chat. A factory produces widgets in batches of 50 units per batch. The factory needs to produce enough widgets to fill an order of 2,000 units. How many full batches must the factory produce to fulfill this order?"} {"instruction": "A chat. A shipping company is analyzing its container loading process to optimize the use of space in its vessels. Each container has a volume of 1,000 cubic feet and can hold up to 50,000 pounds of cargo. The company wants to maximize the utilization of each container while adhering to weight restrictions. Calculate the optimal loading strategy for different types of cargo with varying densities, considering both volume and weight constraints.\n"} {"instruction": "A chat. A cruise ship company needs to plan its itinerary for a 7-day Caribbean cruise, visiting five different ports. The total distance traveled between all ports is 1,500 nautical miles, and the ship can travel at an average speed of 20 knots. Calculate the optimal time spent at each port and sailing between ports to maximize passenger satisfaction while adhering to the schedule. Describe your reasoning.\n"} {"instruction": "A chat. If a car travels at a constant speed of 60 mph for 30 minutes, how far has it traveled?"} {"instruction": "A chat. In a small town, there are 4 barbers. Each barber has a different number of customers per day. Barber A has twice as many customers as Barber B. Barber C has the same number of customers as Barber D. If the total number of customers for all four barbers is 100 per day, how many customers does Barber B have?"} {"instruction": "A chat. A factory produces 500 units of product A every day. Each unit of product A requires 3 units of raw material B. How many units of raw material B are required for 45 days of production?"} {"instruction": "A chat. ((6 / 2)^2 * (9 - 5)) / 3 ="} {"instruction": "A chat. Jane has twice as many marbles as John. Together they have 36 marbles. How many marbles does Jane have? Show your work."} {"instruction": "A chat. There are 120 birds on a tree. Half of them are blue, one-third of them are red, and the rest are green. How many green birds are there?"} {"instruction": "A chat. In a village, there are 50 houses. Each house has a dog and each dog has a cat. For every cat, there is a bird in the village. How many legs are there in total?"} {"instruction": "A chat. If there are 5 blue marbles, 3 red marbles, and 2 green marbles in a bag, what is the probability of drawing two blue marbles consecutively without replacement?"} {"instruction": "A chat. If you roll a fair six-sided die twice, what is the probability that the sum of the numbers rolled is equal to 7?"} {"instruction": "A chat. If it takes 5 workers 3 days to complete a job, how long would it take for 10 workers to complete the same job?"} {"instruction": "A chat. In a standard deck of 52 playing cards, what is the probability of drawing four cards with each card being a different suit?"} {"instruction": "A chat. Determine the eigenvalues of the matrix [[2, 1], [1, 2]]."} {"instruction": "A chat. In a factory, 6 machines produce 180 units of a product in 2 hours. How long would it take for 10 machines to produce 600 units of the same product?"} {"instruction": "A chat. In a class of 30 students, 18 students play football, 20 students play basketball, and 10 students play both games. How many students do not play either game? Use logical steps."} {"instruction": "A chat. There are 8 red balls and 12 blue balls in a box. If you randomly pick one ball, replace it, and then pick another ball, what is the probability that both balls picked are red?"} {"instruction": "A chat. A snail is at the bottom of a 12-foot well. Each day it climbs up 3 feet and each night it slides back down 2 feet. How many days will it take for the snail to reach the top of the well?"} {"instruction": "A chat. A train travels at a constant speed of 60 mph. It takes 6 hours to travel from Town A to Town B. After a 30-minute break at Town B, it returns to Town A, taking 7 hours for the return journey. What was the average speed of the train during the entire trip, including the time spent at Town B?"} {"instruction": "A chat. An average adult breathes around 16 times per minute. How many times does an average adult breathe in a week? Explain your steps."} {"instruction": "A chat. A train leaves Town A for Town B at 60 miles per hour. At the same time, another train leaves Town B for Town A at 90 miles per hour. The distance between the two towns is 300 miles. When do the trains meet, and how far from each town are they when they meet?"} {"instruction": "A chat. In a game, you have a 1/3 chance of winning $30 and a 2/3 chance of losing $10. What is your expected value for playing this game?"} {"instruction": "A chat. A farmer has sheep and cows in his field. He counts 22 heads and 64 legs. How many sheep and how many cows does he have? Include your logic."} {"instruction": "A chat. A factory produces 500 widgets per day. Each widget must pass through three quality control stations before being shipped. Station A rejects 10% of the widgets, Station B rejects 15%, and Station C rejects 20%. How many widgets are approved and ready for shipment after passing through all three stations?"} {"instruction": "A chat. A box contains 5 red balls and 7 blue balls. If you randomly pick two balls at once without looking, what is the probability that both balls are red?"} {"instruction": "A chat. A factory produces 200 units of product A and 300 units of product B each day. Product A requires 4 hours of labor per unit, while product B requires 6 hours of labor per unit. How many total hours of labor are required for production in one week?"} {"instruction": "A chat. If a factory produces 250 units of a product per day and operates 6 days a week, how many units does it produce in 8 weeks?"} {"instruction": "A chat. A train leaves Town A and heads towards Town B at a speed of 60 mph. At the same time, another train leaves Town B and heads towards Town A at a speed of 40 mph. The distance between Town A and Town B is 200 miles. When do the trains meet?"} {"instruction": "A chat. There are 50 birds sitting on a tree branch. A hunter shoots and kills 20% of them. Of the remaining birds, 30% fly away due to the noise. How many birds are left on the tree branch? Use step-by-step logic."} {"instruction": "A chat. There are 30 people on a bus. At the first stop, half of them get off, and 10 new passengers get on. At the second stop, one-third of the remaining passengers get off, and 5 new passengers get on. How many passengers are now on the bus?"} {"instruction": "A chat. A rectangle has a length of 10 inches and a width of 6 inches. If you were to cut out a square with a side length of 2 inches from each corner of the rectangle, what would be the area of the remaining shape?"} {"instruction": "A chat. In a town, 60% of the population are adults, and 40% are children. Among the adults, 70% are married, while among the children, 20% are orphans. What percentage of the total population is married?"} {"instruction": "A chat. A rectangle has an area of 48 square units. If its length is twice its width, what are the dimensions of the rectangle?"} {"instruction": "A chat. If a car travels at an average speed of 50 miles per hour for 6 hours and then increases its speed to 60 miles per hour for another 4 hours, how many total miles does it travel?"} {"instruction": "A chat. A factory produces 500 units of product A every hour and 300 units of product B every two hours. How many units of both products are produced in one week?"} {"instruction": "A chat. A cylindrical container has a height of 12 inches and a diameter of 8 inches. How many gallons of water can it hold? (1 gallon = 231 cubic inches)"} {"instruction": "A chat. I have 17 oranges and eat 9 bananas. How many apples do I have left?"} {"instruction": "A chat. There are three doors in a room. Behind one door is a prize, while the other two doors have nothing behind them. You choose Door 1. The host, who knows what is behind each door, opens Door 2 to reveal nothing. Should you switch your choice to Door 3 or stick with Door 1?"} {"instruction": "A chat. If a car drives at an average speed of 45 mph and needs to cover a distance of 540 miles, how long will it take to reach its destination, assuming no stops or delays?"} {"instruction": "A chat. In a room, there are 4 tables with 5 chairs around each table. If half of the chairs are occupied, how many people are in the room?"} {"instruction": "A chat. In a village, there are 20 houses. Each house has at least one cat and no more than 5 cats. The total number of cats in the village is exactly 50. How many houses have 5 cats?"} {"instruction": "A chat. A city's water department needs to upgrade its aging infrastructure to meet the growing demands of its population. The project involves replacing old pipes, installing new treatment facilities, and expanding storage capacity. With a budget of $1 billion, determine the most cost-effective way to allocate funds among these priorities while ensuring adequate water supply and quality for the next 20 years. Explain your reasoning.\n"} {"instruction": "A chat. A train travels at a constant speed of 45 miles per hour. How far will it travel in 2 hours and 30 minutes?"} {"instruction": "A chat. A sports league is planning its upcoming season schedule, which includes 30 teams playing a total of 82 games each. Each team must play an equal number of home and away games, and no team can play more than four consecutive games at home or on the road. Additionally, travel distances between cities should be minimized to reduce costs and player fatigue. Develop a scheduling plan that meets these requirements while maximizing fan interest and potential television ratings.\n"} {"instruction": "A chat. A train travels between two cities that are 200 miles apart. It takes 5 hours to travel from City A to City B at an average speed of 40 mph. On its return journey from City B to City A, the train travels at an average speed of 60 mph. What is the train's average speed for the entire round trip?"} {"instruction": "A chat. A hotel chain is evaluating the performance of its properties in various locations around the world. They want to determine which hotels are underperforming and identify opportunities for improvement. Factors to consider include occupancy rates, average daily rates, guest satisfaction scores, and local market conditions. Analyze the data and provide recommendations for improving the performance of underperforming hotels.\n"} {"instruction": "A chat. A train leaves Station A heading towards Station B at 60 mph. At the same time, another train leaves Station B heading towards Station A at 90 mph. The distance between the stations is 300 miles. How far from Station A do the trains meet?"} {"instruction": "A chat. A train leaves Station A at 9 am and travels at a speed of 60 mph towards Station B. Another train leaves Station B at 11 am and travels at a speed of 80 mph towards Station A. The distance between the two stations is 400 miles. At what time will the trains meet each other?"} {"instruction": "A chat. A train travels at a constant speed and takes 3 hours to travel from Town A to Town B. The distance between Town A and Town B is 180 miles. If the train were to increase its speed by 20 mph, how long would it take to travel the same distance?"} {"instruction": "A chat. If a company produces 2000 units of a product in its first year and increases production by 10% each subsequent year, how many units will it produce in the fifth year?"} {"instruction": "A chat. How many seconds are there in a year? Assume a non-leap year. Explain your calculations."} {"instruction": "A chat. A company has a fixed cost of $1,000 per month and variable costs of $50 per unit produced. If each unit is sold for $75, how many units must be sold to break even? Explain your reasoning.\n"} {"instruction": "A chat. A group of people is planning a trip that will require them to travel 600 miles. They have two options for transportation: a bus or a van. The bus can accommodate 50 passengers and gets 6 miles per gallon of fuel, while the van can accommodate 15 passengers and gets 18 miles per gallon. If the cost of fuel is $3 per gallon, what would be the total cost of fuel for each option if the group has 45 members?"} {"instruction": "A chat. A construction company is building a large residential complex consisting of 500 apartments spread across five buildings. Each apartment requires an average of 2000 square feet of flooring material. There are three types of flooring materials available: hardwood ($10 per sq ft), laminate ($5 per sq ft), and carpet ($3 per sq ft). The company needs to allocate at least 30% of the total flooring budget for hardwood, no more than 40% for laminate, and the remaining amount for carpet. Calculate the total flooring budget and the allocation for each type of flooring material.\n"} {"instruction": "A chat. If a car travels at an average speed of 60 mph for 3 hours, then slows down to 40 mph for another 2 hours, what is the total distance traveled?"} {"instruction": "A chat. A company has 120 employees, and each employee works 40 hours per week. If the company decides to increase its workforce by 25%, how many additional hours will be worked weekly?"} {"instruction": "A chat. A factory produces 500 units of a product every day. The production rate increases by 5% each week. How many units will be produced in total after 4 weeks?"} {"instruction": "A chat. A rectangular room has a length that is twice its width. If the perimeter of the room is 60 feet, what is the area of the room?"} {"instruction": "A chat. A factory produces 120 cars every hour. How many cars does it produce in a week? Provide step-by-step calculation."} {"instruction": "A chat. If there are 7 billion people in the world and each person has an average of 5 close friends, how many total friendships exist? Reason step-by-step."} {"instruction": "A chat. A national park wants to improve its trail system by adding new hiking paths and upgrading existing ones. The park currently has 100 miles of trails, with varying levels of difficulty and accessibility. They have allocated $1 million for this project, with a goal of increasing overall trail mileage by 20%. Calculate the cost per mile for constructing new trails and upgrading existing ones, taking into account factors such as terrain, materials, and labor costs.\n"} {"instruction": "A chat. Prove that the determinant of a square matrix A is equal to the product of its eigenvalues."} {"instruction": "A chat. In a bag, there are 5 red balls, 8 blue balls, and 12 green balls. If you randomly pick one ball from the bag without looking, what is the probability of picking a red or blue ball?"} {"instruction": "A chat. There are 4 boxes, each containing a different number of apples. Box A has twice as many apples as Box B. Box C has half the number of apples in Box D. If we know that there are 60 apples in total and that Box D has more apples than any other box, how many apples are in each box?"} {"instruction": "A chat. A logistics company needs to optimize its warehouse layout to improve efficiency and reduce operating costs. The warehouse stores various products with different sizes, weights, and turnover rates. The company wants to minimize the time spent on picking and packing orders while maintaining accurate inventory levels. Develop a method to determine the optimal placement of products within the warehouse, considering factors such as product velocity, storage requirements, and material handling equipment constraints. Provide step-by-step reasoning."} {"instruction": "A chat. If you were to stack one-dollar bills equal to the height of Mount Everest, how much money would that be?"} {"instruction": "A chat. A factory produces two types of widgets: Type A and Type B. Each Type A widget weighs 3 kg, and each Type B widget weighs 5 kg. If the factory produces a total of 150 widgets with a combined weight of 600 kg, how many of each type were produced?"} {"instruction": "A chat. A zoo wants to redesign its layout to optimize visitor experience and animal welfare. They have data on the size and preferred habitat of each species, as well as visitor preferences for viewing certain animals. Develop a plan to rearrange the exhibits, considering factors such as available space, compatibility between species, and visitor flow. Explain your reasoning.\n"} {"instruction": "A chat. A cellular network provider is looking to expand its coverage area by installing new cell towers. The company has identified 20 potential locations for new towers, each with varying construction and operational costs. To determine the most cost-effective solution, the company needs to analyze the projected increase in subscribers and revenue generated from each location. Develop a method for evaluating the potential return on investment for each tower location, considering both the initial construction costs and ongoing operational expenses.\n"} {"instruction": "A chat. ((4 * 2) - (5 - 3)^2) / (1 + 3)"} {"instruction": "A chat. A company produces and sells 1500 widgets every month at a price of $20 per widget. Their production costs are $10 per widget. What is their monthly profit?"} {"instruction": "A chat. In a standard deck of 52 playing cards, what is the probability of drawing 4 cards and having them all be face cards (kings, queens, or jacks)?"} {"instruction": "A chat. If a factory produces 500 units of a product every day, how many units will it produce in a non-leap year?"} {"instruction": "A chat. Five friends went to a restaurant and ordered five different dishes. However, when the waiter brought the dishes, he mixed up the orders and gave each person a random dish. What is the probability that exactly two friends got their correct order?"} {"instruction": "A chat. If a car drives at an average speed of 80 km/h for 3 hours and then increases its speed to 100 km/h for another 2 hours, what is the total distance covered by the car?"} {"instruction": "A chat. A rectangular room has a length of 12 meters and a width of 8 meters. If you want to place square tiles on the floor without cutting any tiles, what is the largest size (in terms of side length) that each tile can be?"} {"instruction": "A chat. An e-commerce company is analyzing its shipping costs and delivery times. They ship products from three different warehouses located in New York, Los Angeles, and Chicago. The average shipping cost per package is $8 from New York, $10 from Los Angeles, and $7 from Chicago. The company ships 500 packages daily, with 60% originating from New York, 25% from Los Angeles, and 15% from Chicago. Calculate the total daily shipping cost and find out which warehouse has the highest contribution to the overall shipping expenses.\n"} {"instruction": "A chat. A factory produces 1000 widgets per day. Due to an increase in demand, they decide to increase production by 25%. How many widgets will the factory produce per day after the increase?"} {"instruction": "A chat. If it takes 6 workers 4 hours to build a fence, how long would it take for 12 workers to build the same fence?"} {"instruction": "A chat. Prove that the set of all real numbers R is uncountable."} {"instruction": "A chat. In a village, there are 10 houses. Each house has 5 people living in it. One day, 3 families decide to move out of the village. After they leave, how many people are left in the village?"} {"instruction": "A chat. A store sells apples in packs of 6, oranges in packs of 8, and bananas in packs of 4. If someone buys an equal number of apple, orange, and banana packs, what is the minimum number of fruits they can buy?"} {"instruction": "A chat. A bacteria culture doubles every hour. If there are initially 10 bacteria, how many bacteria will be present after 12 hours?"} {"instruction": "A chat. If a sequence follows the pattern x_n = 2x_(n-1) + 3, and x_1 = 5, what is the value of x_6?"} {"instruction": "A chat. A box contains red, blue, and green balls. The ratio of red to blue balls is 3:2, and the ratio of blue to green balls is 4:5. If there are 60 balls in total, how many red balls are there?"} {"instruction": "A chat. There are 4 houses in a row. The green house is immediately to the left of the white house. The red house is immediately to the right of the blue house. Which house is furthest to the left?"} {"instruction": "A chat. A rectangular garden measures 15 feet by 20 feet. If you want to build a walkway around the garden that is 3 feet wide, what will be the new dimensions of the entire area including the walkway?"} {"instruction": "A chat. Solve: ((4^2 - 3) / 7) * 14 + 8 ="} {"instruction": "A chat. A farmer has a rectangular field with a length of 120 meters and a width of 80 meters. He wants to divide the field into equal square plots. What is the largest possible size of each square plot?"} {"instruction": "A chat. Solve the heat equation u_t = \u03b1^2u_xx, where \u03b1 is a constant."} {"instruction": "A chat. If a factory produces 500 units of product A and 300 units of product B per day, how many days will it take to produce a total of 10,000 units, assuming the production rate remains constant?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. How long will it take to travel 120 miles?"} {"instruction": "A chat. Evaluate the triple integral \u222d(xyz) dV over the region bounded by z=0, z=x+y, and z=1"} {"instruction": "A chat. In a town, 30% of the people have cats, and 40% of the people have dogs. What percentage of people in the town have both cats and dogs?"} {"instruction": "A chat. A car travels from Town A to Town B at a speed of 50 mph and returns to Town A at a speed of 60 mph. If the distance between the two towns is 120 miles, what is the average speed for the entire round trip?"} {"instruction": "A chat. There are 12 apples in a basket. You remove half of them and then add 3 more apples. How many apples do you have now?"} {"instruction": "A chat. A certain type of tree grows at an annual rate of 20%. If a sapling is initially 2 meters tall, what will be its height after 5 years?"} {"instruction": "A chat. There are 12 apples in a basket. If you remove half of the apples and then put back 2 apples, how many apples do you have to remove again to be left with exactly 4 apples?"} {"instruction": "A chat. In a town, 2/3 of the population are adults. Among the adults, 1/4 are teachers. If there are 12 teachers in the town, what is the total population of the town?"} {"instruction": "A chat. A factory produces 1000 widgets per hour. Due to increased demand, they decide to increase production by 50%. However, after increasing production, they realize that 10% of the widgets produced are defective. How many non-defective widgets are produced in an hour after the production increase?"} {"instruction": "A chat. There are 12 apples on a table. Half of them are green, one-third are red, and the rest are yellow. How many yellow apples are there?"} {"instruction": "A chat. In a bag containing red, blue, and green marbles, the ratio of red to blue marbles is 3:4, and the ratio of blue to green marbles is 2:5. What is the ratio of red to green marbles?"} {"instruction": "A chat. In a class of 30 students, 20% are left-handed. If there are 10 more right-handed students than left-handed students, how many left-handed students are in the class?"} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. Every morning, the mailman delivers letters to each house. However, on Mondays, he only delivers to houses with even numbers. On Tuesdays, he delivers to houses that are multiples of 3. On Wednesdays, he delivers to houses that are multiples of 4. This pattern continues until Sunday when he delivers to houses that are multiples of 7. How many houses receive letters every day?"} {"instruction": "A chat. If a water tank holds 500 gallons and is filled at a rate of 25 gallons per minute, how long will it take to fill the tank completely?"} {"instruction": "A chat. If a company produces 150 units of product A and 250 units of product B in one day, how many days will it take to produce 3,000 units of product A and 5,000 units of product B?"} {"instruction": "A chat. A store sells three types of fruit: apples, oranges, and bananas. The store sells 20% more apples than oranges and 30% fewer bananas than apples. If the store sells 120 oranges per day, how many total fruits does it sell daily?"} {"instruction": "A chat. A car rental company charges $20 per day for renting a car, plus an additional $0.10 per mile driven. If someone rents a car for 3 days and drives it for 150 miles, how much will they pay in total?"} {"instruction": "A chat. In a game, Alice scores 3 points every minute. Bob scores 5 points every 2 minutes. Who will score more points after 1 hour and by how much?"} {"instruction": "A chat. There are 10 birds on a fence. A hunter shoots one bird, and all the remaining birds fly away. How many birds are left on the fence?"} {"instruction": "A chat. Find the equation of the line tangent to the curve y = x^2 at the point (1,1)."} {"instruction": "A chat. A train travels at a constant speed for 200 miles. It takes 4 hours to complete the journey. How long would it take to travel 500 miles at the same speed?"} {"instruction": "A chat. A restaurant serves 300 meals in 6 hours. At this rate, how many meals does the restaurant serve in a week? Walk me through your process."} {"instruction": "A chat. A national park is conducting a study on the population of a rare bird species within its boundaries. The park covers an area of 1,000 square miles, and the birds are known to inhabit specific types of vegetation. Researchers plan to use drone technology to survey the park and estimate the total number of birds present. Develop a methodology for this estimation, taking into account factors such as habitat distribution, drone flight time, and image resolution. Describe your reasoning.\n"} {"instruction": "A chat. If a rectangle has an area of 72 square inches and a length-to-width ratio of 4:3, what are the dimensions of the rectangle?"} {"instruction": "A chat. In a certain city, the ratio of the number of cars to the number of motorcycles is 4:7. If there are 27,000 vehicles in total, how many cars and motorcycles are there in the city?"} {"instruction": "A chat. There are three boxes labeled A, B, and C. One box contains only apples, another box contains only bananas, and the third box contains both apples and bananas. All three boxes are mislabeled. You can take out one fruit from any box without looking inside. Which box should you choose to pick a fruit from to correctly label all the boxes?"} {"instruction": "A chat. If a train travels at an average speed of 80 kilometers per hour (kph) for 3 hours, how many meters does it cover during this time?"} {"instruction": "A chat. A box contains 10 red balls and 15 blue balls. If you randomly draw 3 balls from the box without replacement, what is the probability that exactly 2 of them will be red?"} {"instruction": "A chat. There are 5 red balls and 7 blue balls in a bag. You take out one ball at random, note its color, and put it back in the bag. Then you do this again. What is the probability that both balls were red?"} {"instruction": "A chat. A train travels 60 miles per hour for 2 hours, then stops for 15 minutes, and finally continues traveling at 80 miles per hour for another 2 hours. What is the average speed of the train during the entire trip?"} {"instruction": "A chat. A restaurant serves 150 customers per day on average, with each customer spending about $25. What would be the total revenue for the restaurant after 3 years, assuming no changes in customer numbers or spending habits?"} {"instruction": "A chat. A logistics company is looking to expand its warehouse facilities to accommodate increasing demand. The current warehouse covers an area of 80,000 square feet and stores 15,000 pallets. The company expects the demand to grow by 25% over the next two years. Calculate the size of the new warehouse needed to store the increased number of pallets. Also, consider the space required for aisles, loading docks, and office spaces when calculating the new warehouse size.\n"} {"instruction": "A chat. In a classroom, there are 12 boys and 18 girls. If every student has at least one pencil, and the total number of pencils in the classroom is 42, how many students have more than one pencil?"} {"instruction": "A chat. A large hotel chain is planning to renovate its properties over a period of 3 years. The company has 500 hotels worldwide, with an average of 200 rooms per hotel. Each room renovation will cost $10,000, and the hotel chain can allocate $50 million per year for renovations. Determine how many hotels can be renovated each year within the budget, and calculate the total number of rooms that will be renovated during the 3-year plan. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a group of 20 people, 12 have brown eyes and 8 have blue eyes. If we randomly select two people from the group, what is the probability that both have blue eyes?"} {"instruction": "A chat. Solve: ((3^2 - 4) * 6 + 12) / 3 ="} {"instruction": "A chat. Prove that the sum of the angles in any triangle equals 180 degrees. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A city is planning to build a new public transportation system that includes buses, trams, and subways. The total budget for the project is $5 billion. The cost of constructing each bus route is $50 million, each tram line costs $100 million, and each subway line costs $500 million. The city wants to have at least 20 bus routes, 10 tram lines, and 2 subway lines. Calculate the maximum number of additional routes/lines they can add within their budget while maintaining these minimum requirements. Provide step-by-step reasoning.\n"} {"instruction": "A chat. If a person invests $5,000 in a savings account with an annual interest rate of 2%, how much money will they have after 5 years?"} {"instruction": "A chat. A box contains red balls and blue balls. You randomly pick two balls out of the box without replacement. The probability of picking two red balls is 1/3. What could be the total number of balls in the box?"} {"instruction": "A chat. In a small town, there are 3 barbers. Barber A has a clean shop and a nice haircut. Barber B has a messy shop but also has a nice haircut. Barber C has a clean shop but a terrible haircut. If you were to choose one of the barbers for your own haircut, which barber should you choose?"} {"instruction": "A chat. If all cats have tails, and Fluffy is a cat, then does Fluffy have a tail?"} {"instruction": "A chat. A store sells apples in bags containing 8 apples each. The store receives a shipment of 2,400 apples. How many full bags can be made from this shipment, and how many apples will be left over?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 mph. On its way back from Town B to Town A, it travels at a speed of 40 mph due to track maintenance. What is the average speed of the train for the entire round trip?"} {"instruction": "A chat. A company has a revenue of $500,000 and spends $300,000 on operating expenses. If they want to increase their profit by 20%, how much should their new revenue be?"} {"instruction": "A chat. In a family of five children, each child has at least one brother and one sister. How many boys and girls are there in the family?"} {"instruction": "A chat. A factory makes 400 toys in a day. If they operate 6 days a week, how many toys do they make in a year (52 weeks)? Explain your thought process."} {"instruction": "A chat. There are 8 houses on a street, numbered 1 through 8. House number 4 is painted blue, while all the other houses are painted white. If you randomly choose one house to visit, what is the probability that it is not painted blue?"} {"instruction": "A chat. If you fill a swimming pool with water at a rate of 500 gallons per hour, how long will it take to fill a 12,000-gallon pool?"} {"instruction": "A chat. A store sells two types of candy bars: small and large. The small candy bar weighs 80 grams, while the large one weighs 150 grams. If a customer buys 3 small candy bars and 2 large candy bars, what is the total weight of their purchase?"} {"instruction": "A chat. If you drive at a constant speed of 60 mph for 3 hours and 45 minutes, how far will you travel?"} {"instruction": "A chat. A national park wants to improve its wildlife monitoring system by installing cameras at strategic locations throughout the park. The park covers an area of 2,000 square miles and has diverse terrain, including forests, mountains, and lakes. Determine the number of cameras needed and their ideal placement to ensure maximum coverage of the park's wildlife habitats, taking into account factors such as camera range, battery life, and maintenance requirements. Explain your reasoning.\n"} {"instruction": "A chat. Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, \"Do you want to switch to door No. 2?\" Is it to your advantage to switch your choice?"} {"instruction": "A chat. In a town, all men shave themselves except for one barber who shaves all those who do not shave themselves. Does the barber shave himself?"} {"instruction": "A chat. Calculate the surface area of a sphere with a radius of 6 cm. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A cylindrical water tank has a diameter of 4 meters and a height of 6 meters. What is the volume of this tank?"} {"instruction": "A chat. A store sells apples for $1.50 per pound and oranges for $2.00 per pound. If a customer buys a total of 10 pounds of fruit and spends $18.00, how many pounds of apples and oranges did they buy?"} {"instruction": "A chat. In a family, there are 2 parents and 4 children. Each child has 3 siblings. If each parent has 1 sibling, how many cousins do the children have in total?"} {"instruction": "A chat. If a car travels at a constant speed of 60 mph and needs to cover a distance of 180 miles, how long will it take to reach its destination?"} {"instruction": "A chat. How long does it take for a satellite orbiting Earth at an altitude of 250 miles above the surface to complete one full orbit? Assume that Earth's radius is approximately 3,959 miles."} {"instruction": "A chat. An ice cream shop sells 12 flavors of ice cream and 4 types of cones. How many different single-scoop ice creams can you buy? Please explain."} {"instruction": "A chat. A rectangular garden has a length that is 4 meters more than twice its width. If the perimeter of the garden is 36 meters, what are the dimensions of the garden?"} {"instruction": "A chat. (5^2 / 25) * ((3 * 4) - 6) ="} {"instruction": "A chat. A farmer has 120 meters of fencing to enclose a rectangular field. What is the maximum area that can be enclosed using this amount of fencing?"} {"instruction": "A chat. In a small town, there are 100 houses. Every house has at least one pet, either a cat or a dog. There are a total of 70 cats in the town. If each house can only have one type of pet, how many houses have dogs?"} {"instruction": "A chat. If a fair six-sided die is rolled twice, what is the probability that the sum of the two rolls will be 7?"} {"instruction": "A chat. In a chess tournament, there are 10 players. Each player plays against every other player exactly once. How many games are played in total?"} {"instruction": "A chat. A company produces 500 units of a product each day. If the production cost per unit is $15 and they sell each unit for $30, how much profit do they make in one week (assuming 7 days)? Explain your calculations.\n"} {"instruction": "A chat. There are 10 people at a party, including you. Each person knows exactly 3 other people at the party. How many handshakes occur between all the attendees if each pair of acquaintances shakes hands once?"} {"instruction": "A chat. A bag contains 5 red marbles, 8 blue marbles, and 12 green marbles. If you draw three marbles at random without replacement, what is the probability that you will draw exactly one marble of each color?"} {"instruction": "A chat. There are 100 people in a room. 90 of them have blue eyes, and the rest have green eyes. If we randomly pick two people from the room, what is the probability that both of them have green eyes?"} {"instruction": "A chat. A factory produces 200 widgets per hour. However, 5% of these widgets are defective and must be discarded. If the factory operates for 8 hours a day, how many non-defective widgets does it produce daily?"} {"instruction": "A chat. A hospital is evaluating the efficiency of its emergency department (ED) by analyzing patient wait times, treatment durations, and staff workload. The ED has 50 beds and operates 24/7, with three shifts of medical professionals. Each shift consists of 10 doctors, 20 nurses, and 5 administrative staff members. Determine the optimal patient-to-staff ratio to minimize wait times while maintaining high-quality care, considering factors such as peak hours, patient severity, and staff breaks. Describe your approach in steps.\n"} {"instruction": "A chat. A company offers two types of discounts on its products - a flat discount of $50 or a percentage discount of 25%. If a customer wants to buy a product worth $300, which discount option would save them more money?"} {"instruction": "A chat. A company has two types of employees: full-time and part-time. Full-time employees work 40 hours per week, while part-time employees work 20 hours per week. If there are 30 full-time employees and 10 part-time employees, what is the total number of hours worked by all employees in one month?"} {"instruction": "A chat. You have 50 coins totaling $1.00. How many quarters, dimes, nickels, and pennies do you have? Show your reasoning."} {"instruction": "A chat. There are 12 red balls and 8 blue balls in a box. You randomly pick two balls from the box without replacement. What is the probability that both balls you picked are red?"} {"instruction": "A chat. If it takes 6 workers 4 days to build a wall, how long would it take 9 workers to build the same wall? Reason step-by-step."} {"instruction": "A chat. In a class of 40 students, 60% are boys and the rest are girls. If 75% of the boys and 80% of the girls pass an exam, what percentage of the total class passed the exam?"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B each day. Product A requires 4 hours of labor per unit, while product B requires 5 hours of labor per unit. How many total hours of labor are required for production each day?"} {"instruction": "A chat. If a ball is thrown upward with an initial velocity of 20 m/s, how long will it take to reach its maximum height?"} {"instruction": "A chat. In a class of 30 students, 18 play soccer, 20 play basketball, and 22 play volleyball. If 8 students play all three sports, how many students play exactly two sports?"} {"instruction": "A chat. ((8 - 3)^2 * 4 + 12) / 6 ="} {"instruction": "A chat. You flip a coin 3 times. What is the probability of getting exactly 2 heads? Show your work."} {"instruction": "A chat. How many different ways can you arrange the letters in the word \"EXAMPLE\"?"} {"instruction": "A chat. A pizza place sells pizzas with three different sizes: small (10 inches), medium (14 inches), and large (18 inches). How much more pizza do you get if you order a large pizza compared to a small one?"} {"instruction": "A chat. Solve: ((7 - 2)^2 * 4 + 12) / 6 ="} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" Each box is filled with either apples or oranges but is mislabeled. You can pick one fruit from any box without looking inside. What is the minimum number of fruits you need to pick to correctly label all the boxes?"} {"instruction": "A chat. In a room, there are 4 people who speak English, 3 people who speak French, and 2 people who speak both English and French. How many people in the room speak only one language?"} {"instruction": "A chat. A hotel chain plans to open a new luxury resort on a tropical island. The resort will have 150 rooms, each costing $300,000 to construct. In addition to room construction costs, the project requires $10 million in infrastructure investments (e.g., roads, utilities). Estimate the total cost of the project and calculate the occupancy rate needed to break even within five years, assuming an average daily room rate of $400 and annual operating expenses of $5 million.\n"} {"instruction": "A chat. Determine the integral of the function g(x) = 6x^3 - 4x + 1 with respect to x, providing step-by-step reasoning.\n"} {"instruction": "A chat. A hotel chain plans to open a new luxury resort on a tropical island. The resort will have 150 rooms, including beachfront villas and overwater bungalows. The hotel expects an average occupancy rate of 75% throughout the year, with peak demand during the holiday season. Calculate the number of staff required to operate the resort, considering factors such as housekeeping, food and beverage services, guest relations, and maintenance.\n"} {"instruction": "A chat. If a shirt costs $25 and is on sale for 20% off, what will be the final price after applying the discount? Show your calculations.\n"} {"instruction": "A chat. In how many ways can the letters of the word \"COMPUTATION\" be arranged such that all the vowels are together?"} {"instruction": "A chat. A train leaves Town A and travels towards Town B at a speed of 60 mph. At the same time, another train leaves Town B and travels towards Town A at a speed of 80 mph. If the distance between the two towns is 420 miles, how long will it take for the two trains to meet?"} {"instruction": "A chat. If a train travels at a speed of 60 miles per hour and takes 3 hours to reach its destination, how long will it take for two trains traveling at the same speed to reach their destinations if they start at the same time but travel in opposite directions?"} {"instruction": "A chat. A city is planning to build a new sports complex that includes multiple facilities for various sports. The construction budget is $50 million, and the project needs to be completed within 3 years. The cost breakdown for each facility is as follows: an indoor swimming pool ($10 million), a soccer field with bleachers ($7 million), a basketball court ($5 million), a tennis court ($4 million), and a running track ($3 million). Additionally, the city wants to allocate funds for landscaping, parking lots, and maintenance equipment. Calculate the remaining budget for these additional features after constructing all the sports facilities, and suggest a distribution of funds based on priority.\n"} {"instruction": "A chat. If a factory produces 500 units of product A in the first month and increases production by 10% each subsequent month, how many total units will be produced after one year?"} {"instruction": "A chat. In a school, there are 8 classrooms and each classroom has 25 students. If every student needs 5 notebooks for the new semester, how many notebooks does the school need to provide?"} {"instruction": "A chat. Solve: ((4 - 1) * 6 + 9) / 3 ="} {"instruction": "A chat. If a person consumes 2500 calories per day, how many calories does he consume in a month (considering February in a leap year)? Provide step-by-step logic."} {"instruction": "A chat. If it takes 6 people to carry a table, how many people would it take to carry 3 tables?"} {"instruction": "A chat. A farmer has 100 meters of fencing to enclose a rectangular field. What is the maximum area that can be enclosed?"} {"instruction": "A chat. There are 25 red marbles and 75 blue marbles in a bag. You randomly pick one marble from the bag and then put it back. What is the probability of picking a red marble twice in a row?"} {"instruction": "A chat. If you invest $10,000 in a savings account with an annual interest rate of 3%, compounded monthly, how much money will you have after one year?"} {"instruction": "A chat. A train travels at an average speed of 80 kilometers per hour for a distance of 240 kilometers. How long does it take for the train to complete its journey in hours and minutes?"} {"instruction": "A chat. A train travels at an average speed of 50 miles per hour and takes 10 hours to complete its journey. If it makes 5 stops along the way, each lasting 15 minutes, how long was the train actually moving during the trip?"} {"instruction": "A chat. A group of people is traveling by bus. Half of them get off at the first stop, a quarter gets off at the second stop, and the remaining 5 passengers get off at the final stop. How many people were on the bus initially?"} {"instruction": "A chat. Solve: (3^2 - 4) * (6 + 2) ="} {"instruction": "A chat. A rectangular garden is 12 meters long and 8 meters wide. If you want to build a fence around it with an additional 1-meter buffer on all sides, how much fencing will you need?"} {"instruction": "A chat. A national park is conducting a wildlife census to estimate the populations of various species living within its boundaries. The park covers 2,000 square miles and contains diverse habitats, including forests, grasslands, and wetlands. To conduct the census, researchers will use aerial surveys, camera traps, and field observations. Estimate the time required to complete the census, considering factors such as survey methods, habitat complexity, and available resources. Describe your approach in steps.\n"} {"instruction": "A chat. In a room, there are 4 mathematicians and 5 engineers. Each mathematician shakes hands with every engineer but not with any other mathematician. Similarly, each engineer shakes hands only with the mathematicians but not with any other engineer. How many handshakes took place in total?"} {"instruction": "A chat. In a room, there are 10 people. Each person knows exactly three people in the room. How many friendships exist in the room? Explain your reasoning."} {"instruction": "A chat. A train leaves Town A heading towards Town B at 60 mph. At the same time, another train leaves Town B heading towards Town A at 40 mph. The distance between the towns is 500 miles. How long will it take for the trains to meet each other?"} {"instruction": "A chat. If a company produces 150 units of product A and 200 units of product B in one day, how many days will it take to produce 3000 units of product A and 4000 units of product B?"} {"instruction": "A chat. A store offers a 20% discount on all items during a sale. If the original price of a jacket is $75, what is the final price after the discount? Explain your calculations.\n"} {"instruction": "A chat. A store sells three types of candies: A, B, and C. The ratio of the number of candies sold is 3:4:5. If the store sells a total of 120 candies, how many candies of each type are sold?"} {"instruction": "A chat. A cone-shaped paper cup has a base diameter of 4 inches and a height of 6 inches. What is the volume of the cup in cubic inches?"} {"instruction": "A chat. A store offers a 20% discount on an item originally priced at $120. After the discount, what will be the final price of the item?"} {"instruction": "A chat. You read 20 pages of a book every day. After 15 days, you've read 300 pages. How many pages does the book have if you're halfway through it at this point? Provide step-by-step logic."} {"instruction": "A chat. A car rental company charges a flat fee of $20 per day for renting a car, plus an additional 10 cents per mile driven. Jane rents a car for 3 days and drives it for 200 miles. How much does she have to pay for the rental?"} {"instruction": "A chat. A train leaves Town A traveling at 50 mph towards Town B, which is 150 miles away. At the same time, another train leaves Town B traveling at 70 mph towards Town A. When will the two trains meet?"} {"instruction": "A chat. In a class of 25 students, 60% are girls. How many boys are there in the class? Use logical steps to answer."} {"instruction": "A chat. A square garden has a side length of 10 meters. If you want to build a fence around the entire garden and leave an opening of 2 meters for the entrance, how many meters of fencing do you need?"} {"instruction": "A chat. A water tank is filled with 600 gallons of water. If a faucet connected to the tank drains water at a rate of 5 gallons per minute, how long will it take to empty the tank completely?"} {"instruction": "A chat. A group of friends went out for dinner and decided to split the bill evenly among themselves. They noticed that if two more people had joined them, each person would pay $10 less. If three fewer people had come, each person would pay $15 more. How many friends were originally in the group?"} {"instruction": "A chat. A car travels 60 miles per hour for 2 hours and then 40 miles per hour for another 3 hours. What is the average speed of the car during the entire trip?"} {"instruction": "A chat. In a standard deck of 52 playing cards, what is the probability of drawing four cards with the same rank (e.g., four Aces, four Kings, etc.)?"} {"instruction": "A chat. How many distinct ways can a committee of 5 people be chosen from a group of 12 people?"} {"instruction": "A chat. ((6^2 / 3) - (9 * 2)) * 4 ="} {"instruction": "A chat. In a class of 40 students, 70% received an A on their final exam. How many students did not receive an A?"} {"instruction": "A chat. In a small town, there are 10 houses on one side of the street and 15 houses on the other side. Each house has at least 2 children living in it. If each child from every house goes to school, how many children go to school?"} {"instruction": "A chat. There are 5 cats in a room. Each cat sees 4 other cats. How many cats see each other?"} {"instruction": "A chat. A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 8 cm. What is its surface area?"} {"instruction": "A chat. A box contains 5 red balls, 3 blue balls, and 2 green balls. If you draw 3 balls at random without replacement, what is the probability that you will get exactly 2 red balls and 1 blue ball?"} {"instruction": "A chat. How many miles would a person travel if they walked around the Earth's equator once?"} {"instruction": "A chat. In a certain country, the income tax rate is 10% on the first $10,000 earned, 20% on the next $40,000 earned, and 30% on any amount above $50,000. How much would someone with an annual income of $70,000 pay in taxes?"} {"instruction": "A chat. A company sells two types of products, X and Y. Product X has a profit margin of 40%, while product Y has a profit margin of 25%. If the company sells $8,000 worth of product X and $10,000 worth of product Y, what is the total profit generated by these sales?"} {"instruction": "A chat. A cone-shaped paper cup has a diameter of 8 cm and a height of 12 cm. What is the volume of the cup in cubic centimeters?"} {"instruction": "A chat. A store sells two types of pens: blue pens at $2 each and red pens at $3 each. If a customer buys a total of 10 pens and spends $24, how many blue and red pens did they buy?"} {"instruction": "A chat. A car rental company is evaluating the feasibility of adding electric vehicles (EVs) to its fleet. The company currently has 500 gasoline-powered cars, each with an average daily rental rate of $50 and a fuel cost of $10 per day. The EVs have a higher daily rental rate of $60 but no fuel costs. Calculate the potential increase in revenue if the company replaces half of its gasoline-powered cars with EVs, and estimate the payback period for this investment based on the difference in vehicle purchase prices, assuming an average price of $30,000 for gasoline-powered cars and $40,000 for EVs.\n"} {"instruction": "A chat. In a class of 30 students, 12 play basketball, 8 play soccer, and the rest play volleyball. If each student plays only one sport, how many more students play basketball than soccer?"} {"instruction": "A chat. A company has two types of employees: full-time and part-time. Full-time employees work 40 hours per week, while part-time employees work 20 hours per week. If the company has a total of 50 employees and they collectively work 1,600 hours per week, how many full-time and part-time employees does the company have?"} {"instruction": "A chat. Calculate the limit as x approaches infinity of (1 + 1/x)^x. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A store offers a discount on bulk purchases of apples. The price per pound is $2 for up to 10 pounds, $1.80 for 11-20 pounds, and $1.60 for 21 or more pounds. How much would it cost to buy 25 pounds of apples?"} {"instruction": "A chat. A construction company is building a new residential complex consisting of 10 apartment buildings. Each building has 8 floors and 4 apartments per floor. The average size of an apartment is 1000 square feet. The cost of construction is $150 per square foot. Calculate the total cost of constructing the entire complex. Additionally, if the company wants to make a 20% profit on the project, determine the minimum selling price per apartment. Provide step-by-step calculations.\n"} {"instruction": "A chat. Solve: (4 * 3) / 2 + 5^2 - 8 ="} {"instruction": "A chat. Peter earns $15 per hour. He works 8 hours a day, 5 days a week. How much does he earn in a month? Assume a month has 4 weeks. Show your calculations."} {"instruction": "A chat. (4^2 - 3 * 5) / (7 + 9) ="} {"instruction": "A chat. In a class of 80 students, 60% are female and 40% are male. If 70% of the females passed an exam while only 50% of the males did, what percentage of the total class passed the exam?"} {"instruction": "A chat. There are 5 people in a room. Each person shakes hands with every other person once. How many handshakes occur? Show your logic."} {"instruction": "A chat. A factory produces 500 units of product A every day. The production cost per unit is $12, and each unit is sold for $25. What is the total profit generated by selling all produced units in one month, assuming the month has 30 days?"} {"instruction": "A chat. In a village, there are 20 houses in a row. Each house has a different color and each family living in the house has a different number of children. The blue house is somewhere to the left of the house with five children. The red house is two houses away from the house with three children. If the blue house has four children, can you determine which house has the most children?"} {"instruction": "A chat. A factory produces 100 units of a product per day. Due to increased demand, they decide to increase production by 25% every week. How many units will be produced on the 4th week?"} {"instruction": "A chat. Solve: (3^2 * 4) - (6 + 8) / 2 ="} {"instruction": "A chat. Calculate the derivative of the function f(x) = 3x^4 - 5x^2 + 7, providing step-by-step reasoning.\n"} {"instruction": "A chat. In a class of 30 students, 60% are female. If 75% of the females wear glasses, what percentage of the entire class wears glasses?"} {"instruction": "A chat. A company has a revenue of $150,000 per month. Their monthly expenses are 65% of their revenue. What is their monthly profit?"} {"instruction": "A chat. An airline company is looking to optimize its flight schedules between two major cities. Currently, there are six daily flights, evenly spaced throughout the day. However, recent data shows that demand for these flights varies significantly depending on the time of day. The airline wants to adjust the schedule to better match demand while maintaining the same number of daily flights. Analyze the data and propose a new flight schedule that maximizes revenue, taking into account factors such as ticket prices, seat occupancy rates, and operational costs.\n"} {"instruction": "A chat. A rectangular garden measures 20 meters by 30 meters. You want to build a square path around the garden such that the area of the path is equal to the area of the garden. What should be the width of the path?"} {"instruction": "A chat. A factory produces 500 units of product A per day. They decide to increase production by 20% for product A and also start producing 100 units of product B per day. How many total units are produced daily after these changes?"} {"instruction": "A chat. In a town, 60% of the population are adults. Among the adults, 30% have a pet dog and 40% have a pet cat. What percentage of the total population has a pet dog?"} {"instruction": "A chat. A store sells 3 types of pens: Type A costs $1.50 each, Type B costs $2.00 each, and Type C costs $2.50 each. If a customer buys 4 Type A pens, 5 Type B pens, and 3 Type C pens, what is the total cost of their purchase?"} {"instruction": "A chat. A factory produces 500 units of a product every day. Due to an increase in demand, they decide to increase their production by 8% each day for five days. How many units will they produce on the fifth day?"} {"instruction": "A chat. A snail climbs up a wall during the day but slips back down while sleeping at night. Each day, the snail climbs 3 feet but slips back 2 feet at night. If the wall is 30 feet high, how many days will it take for the snail to reach the top? Explain your thought process."} {"instruction": "A chat. A hotel chain wants to renovate its properties to improve energy efficiency and reduce operating costs. The chain has 100 hotels, each with an average of 200 rooms. Determine the most cost-effective combination of upgrades, such as installing LED lighting, upgrading HVAC systems, and adding insulation, to achieve a target reduction in energy consumption of 20%. Consider factors like upfront investment, payback period, and potential government incentives.\n"} {"instruction": "A chat. A sphere has a radius of 4 centimeters. What is its volume?"} {"instruction": "A chat. A snail starts climbing a 15-foot wall at a rate of 3 feet per day. At night, it slides down 2 feet while resting. How many days will it take for the snail to reach the top of the wall?"} {"instruction": "A chat. A car dealership has 120 cars on their lot. They sell 15% of them in one week. How many cars do they have left?"} {"instruction": "A chat. If a farmer has 4 rectangular fields with the same area, and the lengths of the fields are in the ratio 1:2:3:4, what is the ratio of their widths?"} {"instruction": "A chat. A telecommunications company is planning to expand its fiber-optic network to cover more rural areas. The company currently has 5,000 miles of fiber-optic cables installed and wants to increase this by 50%. Each mile of new cable installation costs $20,000, which includes labor, materials, and permits. In addition, the company needs to build new relay stations every 100 miles along the expanded network, at a cost of $1 million per station. Calculate the total investment required for this expansion project.\n"} {"instruction": "A chat. A company has 120 employees, with 40% working in sales, 30% in marketing, and the remaining employees in operations. If the company plans to hire an additional 20 employees, all of whom will work in operations, what percentage of the total workforce will be in operations after the new hires join?"} {"instruction": "A chat. A group of people contributed a total of $1500 to a charity event. If each person contributed an equal amount and there were 25 contributors, how much did each person contribute?"} {"instruction": "A chat. A construction company is building a new residential complex with 500 apartments. Each apartment has an average of 1,200 square feet and requires 10 gallons of paint per 100 square feet. The company can purchase paint in bulk at a discounted price of $25 per gallon if they buy at least 5,000 gallons. Calculate the total cost of paint for the project and determine whether it's more cost-effective to buy in bulk or at the regular price of $30 per gallon. Explain your reasoning.\n"} {"instruction": "A chat. A company has a revenue function R(x) = 200x - x^2, where x is the number of items sold. What is the maximum revenue the company can achieve?"} {"instruction": "A chat. Solve the differential equation dy/dx = y/x with initial condition y(1) = 2."} {"instruction": "A chat. A company has two types of employees: full-time and part-time. Full-time employees work 40 hours per week, while part-time employees work 20 hours per week. If there are 25 full-time employees and 15 part-time employees, what is the total number of hours worked by all employees in a week?"} {"instruction": "A chat. A rectangle has an area of 60 square units. If its length is 5 units more than twice its width, what are the dimensions of the rectangle?"} {"instruction": "A chat. If a car rental company has 150 cars, and each car is rented out for an average of 20 days per month at a rate of $50 per day, what is the total revenue generated by the company in one year?"} {"instruction": "A chat. A rectangle has a length of 12 inches and a width of 8 inches. What is the length of its diagonal?"} {"instruction": "A chat. A city has a population of 1 million people. If the average annual income per person is $40,000 and the city government collects an income tax of 5%, how much revenue does the city generate from income taxes each year?"} {"instruction": "A chat. A farmer plans to plant three types of crops on his 100-acre land: corn, wheat, and soybeans. He wants to allocate 40% of the land to corn, 30% to wheat, and the remaining area to soybeans. Calculate the acreage for each crop type and explain your reasoning.\n"} {"instruction": "A chat. If you invest $10,000 in an account that earns 5% annual interest compounded monthly, how much will the account be worth after 2 years?"} {"instruction": "A chat. How many hours does it take for light from the Sun to reach Jupiter?"} {"instruction": "A chat. Calculate the moment of inertia for a solid sphere with mass m and radius r, given the formula I = (2/5)mr^2. Explain your process.\n"} {"instruction": "A chat. A store offers a discount on bulk purchases such that for every 3 items bought, the customer gets a fourth item for free. If a customer buys 12 items, how many additional items can they get for free?"} {"instruction": "A chat. If a plane crashes exactly on the border between two countries, where should the survivors be buried?"} {"instruction": "A chat. A city is implementing a bike-sharing program with an initial investment of $2 million. Each bike costs $500, and there is an additional cost of $100 per bike for maintenance and administrative expenses. Calculate the maximum number of bikes that can be purchased with the initial investment, taking into account both the purchase price and the additional expenses. Also, estimate the number of bikes that need to be rented out daily to cover the initial investment within one year, assuming a rental fee of $5 per bike per day.\n"} {"instruction": "A chat. A company has an annual budget of $1,200,000. They spend 40% on salaries, 25% on marketing, 15% on research and development, and the remaining amount on miscellaneous expenses. How much do they spend on each category, and what is the difference between the highest and lowest spending categories?"} {"instruction": "A chat. A box contains 8 red balls and 12 blue balls. If you were to randomly pick three balls from the box without replacement, what is the probability that exactly two of them are red?"} {"instruction": "A chat. If you have a stack of 20 books and each book is 3 cm thick, how tall is the stack? Provide step-by-step logic."} {"instruction": "A chat. Prove that the alternating group A_n is simple for n \u2265 5."} {"instruction": "A chat. There are two boxes labeled \"Apples\" and \"Oranges.\" However, both labels are incorrect. Without looking inside, you take one fruit from one box. It turns out to be an apple. Which box did you take the fruit from, and what is the correct label for each box?"} {"instruction": "A chat. A store sells two types of items. The first type has a profit margin of 20% and the second type has a profit margin of 35%. If the store sold $10,000 worth of the first type and $15,000 worth of the second type, what is the total profit?"} {"instruction": "A chat. A water tank has a capacity of 10,000 liters. If it takes 5 minutes to fill the tank with water using a hose with a flow rate of 50 liters per minute, how much water was already in the tank before filling it?"} {"instruction": "A chat. If a population of bacteria doubles every hour, how many times larger will the population be after one day (24 hours)?"} {"instruction": "A chat. If a car rental company has 10 cars available and wants to rent them out to 5 customers, how many different ways can they distribute the cars among the customers if each customer must receive at least one car?"} {"instruction": "A chat. Tom has twice as many apples as oranges. He gives away half of his apples and one-third of his oranges to his friends. After giving them away, he has a total of 42 fruits left. How many apples did Tom originally have?"} {"instruction": "A chat. A company has 120 employees. Of these, 30% work in marketing, 40% work in sales, and the rest work in administration. How many employees work in each department?"} {"instruction": "A chat. A triangle has a base of 12 inches and a height of 8 inches. What is its area in square inches?"} {"instruction": "A chat. Find the equation of a line passing through points (2, 5) and (-1, -3)."} {"instruction": "A chat. There are 7 billion people in the world. Each person breathes about 16 times per minute. How many breaths are taken worldwide in one hour? Include your logic."} {"instruction": "A chat. A company has a monthly budget of $10,000 for employee salaries. If they spend 35% of this budget on full-time employees and the rest on part-time employees, how much money is spent on part-time employees?"} {"instruction": "A chat. A box contains 15 balls, each ball weighing either 1 kg or 2 kg. If the total weight of the balls in the box is 22 kg, how many 1 kg balls are there in the box?"} {"instruction": "A chat. A train travels at an average speed of 90 kilometers per hour for 3 hours and then at an average speed of 120 kilometers per hour for another 2 hours. What is the total distance traveled by the train?"} {"instruction": "A chat. A factory produces 500 units of product A in 8 hours. How long will it take to produce 1,250 units at the same production rate?"} {"instruction": "A chat. A train leaves Station A traveling east at 60 mph. Another train leaves Station B traveling west at 80 mph. How many balloons can fit inside each train?"} {"instruction": "A chat. Calculate the integral of the function h(x) = 3x^2 - 6x + 2 from x = 0 to x = 4. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a class of 40 students, 75% of the students passed an exam. Of those who passed, 60% received a grade above 80%. How many students scored below 80%?"} {"instruction": "A chat. A rectangular room measures 15 feet in length and 10 feet in width. What is the area of the room in square yards?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding electric buses to the existing fleet. The city currently has 100 diesel buses, and plans to replace them with electric buses over a period of 10 years. Each electric bus costs $500,000, while each diesel bus can be sold for $200,000. Additionally, the maintenance cost per year for an electric bus is $20,000, whereas it's $30,000 for a diesel bus. Calculate the total cost of this transition plan, considering both the purchase of new electric buses and the sale of old diesel buses, as well as the difference in annual maintenance costs.\n"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes the train 30 minutes to travel between Station A and Station B. How far apart are Station A and Station B?"} {"instruction": "A chat. There are 5 boxes. Each box contains 4 smaller boxes. Each of these smaller boxes contains 3 tiny boxes. How many tiny boxes are there in total? Include your logic."} {"instruction": "A chat. A cylindrical water tank has a diameter of 6 meters and a height of 10 meters. What is its volume in liters?"} {"instruction": "A chat. If x^3 + y^3 = 9 and x+y=3, find xy."} {"instruction": "A chat. In a small town, there are 4 barbers. Barber A has the best haircut in town, Barber B has the second-best haircut, Barber C has the third-best haircut, and Barber D has the worst haircut. All four barbers only get their haircuts from other barbers in the town. Which barber should you go to for the best haircut?"} {"instruction": "A chat. There are four boxes, each containing apples. The first box has 10 more apples than the second box. The third box has 15 fewer apples than the first box. The fourth box has twice as many apples as the third box. If there are 85 apples in total, how many apples are in each box?"} {"instruction": "A chat. A bag contains 5 red balls and 3 green balls. What is the probability of picking a red ball from this bag without looking? Use reasoning."} {"instruction": "A chat. A sphere has a surface area of 314 square centimeters. What is its radius and volume?"} {"instruction": "A chat. Determine the compound interest earned on a $5,000 investment at an annual interest rate of 4% compounded quarterly for 3 years. Show your calculations.\n"} {"instruction": "A chat. A factory produces 150 units of a product every hour. If the factory operates for 16 hours a day and runs for 25 days in a month, how many units does it produce in a month?"} {"instruction": "A chat. If a farmer has 12 acres of land and wants to divide it into equal square plots, what would be the side length of each plot?"} {"instruction": "A chat. An airline is analyzing its fleet composition and fuel efficiency. They currently operate 50 planes, with an average fuel consumption of 5 gallons per mile. The airline wants to reduce its overall fuel consumption by 15% by replacing some of its older planes with newer, more fuel-efficient models. These new planes consume 4 gallons per mile. Determine how many new planes the airline should purchase to achieve its goal, assuming the total number of planes in the fleet remains constant. Provide step-by-step reasoning.\n"} {"instruction": "A chat. How many gallons of water are required to fill a cylindrical tank with a diameter of 10 feet and a height of 12 feet? Assume that 1 cubic foot contains approximately 7.48 gallons of water."} {"instruction": "A chat. If 50 workers can build 50 cars in 50 days, how long would it take 25 workers to build 25 cars?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. It takes 2 hours to reach its destination. If the train traveled twice as fast, how long would it take to reach the same destination?"} {"instruction": "A chat. If a farmer has 15 cows and each cow produces an average of 20 liters of milk per day, how many liters of milk will the farmer have after one week?"} {"instruction": "A chat. A large supermarket chain wants to optimize its supply chain by implementing a new inventory management system. The company operates 500 stores nationwide, each carrying an average of 50,000 products sourced from various suppliers. Calculate the potential savings resulting from reduced stockouts, spoilage, and overstocking, as well as the impact on customer satisfaction and loyalty. Also, consider the implementation costs and timeline for this new system, including software development, hardware upgrades, employee training, and ongoing maintenance."} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 80 km/h. Halfway through the journey, it starts raining heavily, causing the train to slow down to 40 km/h for the remaining distance. What is the average speed of the train for the entire journey?"} {"instruction": "A chat. A man gives his son $1000 and tells him he can spend it however he wants but every time he buys something, he must give half of the remaining money to charity. What is the maximum amount of money the son can spend on himself?"} {"instruction": "A chat. In a small town, there are 3 doctors. Each doctor has exactly 4 patients who visit them every day. One day, one of the doctors gets sick and cannot see any patients. The other two doctors decide to split the sick doctor's patients evenly between them. How many patients does each doctor now have?"} {"instruction": "A chat. In a bag, there are 8 red balls, 6 blue balls, and 4 green balls. If you randomly pick one ball without looking, what is the probability of picking a red or a green ball?"} {"instruction": "A chat. Estimate the number of jellybeans in a jar using only the information that there are more than 100 but less than 500."} {"instruction": "A chat. A company has 120 employees, and they want to give a bonus of $500 to each employee. However, due to budget constraints, they can only spend $50,000 on bonuses. How much should the bonus be reduced for each employee so that the total cost remains within the budget?"} {"instruction": "A chat. A rectangular garden has an area of 180 square meters and a width of 9 meters. What is the length of the garden, and what would be the perimeter if you add a fence around it?"} {"instruction": "A chat. A factory produces 500 units of product per day. If each unit sells for $25 and the production cost is $15 per unit, what is the profit after one week?"} {"instruction": "A chat. In a school election, candidate A received 60% of the votes, candidate B received 25%, and candidate C received the remaining votes. If candidate C received 450 votes, how many students voted in the election?"} {"instruction": "A chat. There are 4 red balls and 6 blue balls in a box. If you randomly pick one ball, replace it, and then pick another ball, what is the probability of picking two red balls?"} {"instruction": "A chat. A farmer has a rectangular field with a length of 100 meters and a width of 50 meters. He wants to plant trees along the perimeter of the field, with each tree being exactly 10 meters apart from its neighbors. How many trees does he need?"} {"instruction": "A chat. There are 5 red balls, 4 blue balls, and 3 green balls in a bag. You need to pick one ball at random without looking. What is the probability that you will pick a blue or green ball?"} {"instruction": "A chat. If there are 8 red balls and 12 blue balls in a box, what is the probability of picking two red balls without replacement?"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B every week. Product A requires 2 hours of labor per unit, while product B requires 3 hours of labor per unit. If workers are paid $15 per hour, how much does the factory spend on labor costs per month?"} {"instruction": "A chat. You are driving a bus with 20 passengers on board. At the first stop, 5 people get off, and 3 new passengers get on. At the second stop, 7 people get off, and 4 more passengers get on. At the third stop, 2 people get off, and 6 new passengers get on. How old is the bus driver?"} {"instruction": "A chat. A man gives half of his money to his wife, then he gives half of what's left to his son, and finally, he gives half of the remaining amount to his daughter. He is left with $25. How much money did he initially have?"} {"instruction": "A chat. There are 120 students in a school. If 25% of the students play soccer, 30% play basketball, and 15% play both soccer and basketball, what percentage of students do not play either sport?"} {"instruction": "A chat. An amusem*nt park is designing a new roller coaster ride with a height restriction of 48 inches or taller. The park's marketing team estimates that approximately 20% of visitors will not meet the height requirement. On average, the park receives 5,000 visitors per day during peak season. Calculate the number of eligible riders per day and estimate the wait time for the ride if it can accommodate 24 riders every 5 minutes.\n"} {"instruction": "A chat. A factory produces 1200 widgets per hour and operates for 16 hours each day. How many widgets does the factory produce in a week if it operates 5 days a week?"} {"instruction": "A chat. A construction company is bidding on a project to build a bridge over a river. The bridge will be 1,000 meters long and require 50 support pillars, spaced evenly along its length. Each pillar requires 5 tons of steel and 20 cubic meters of concrete. Calculate the total amount of materials needed for the project and provide an estimated cost breakdown based on current market prices for steel and concrete.\n"} {"instruction": "A chat. A store sells two types of pens - Type A and Type B. The cost of one Type A pen is $0.75, while the cost of one Type B pen is $1.25. If you buy a total of 12 pens and spend exactly $10, how many Type A and Type B pens did you purchase?"} {"instruction": "A chat. Every minute, a faucet leaks 6 drops of water. Each drop is about 0.05 milliliters. How much water, in liters, does the faucet leak in one day? Show your reasoning."} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding more buses to its fleet. The current fleet consists of 100 buses, with an average age of 7 years. Each bus has a lifespan of 15 years before it needs to be replaced. The city wants to increase the size of its fleet by 20% over the next five years. Calculate the number of new buses that need to be purchased annually, taking into account both replacement and expansion requirements. Provide step-by-step reasoning.\n"} {"instruction": "A chat. Find the area of a triangle with sides of length 5, 12, and 13."} {"instruction": "A chat. A car rental company charges $50 per day for renting a car and an additional $0.25 per mile driven. How much would it cost to rent the car for 3 days and drive it for 200 miles?"} {"instruction": "A chat. A bacteria culture doubles its population every hour. If there are initially 10 bacteria cells, how many cells will be present after 8 hours?"} {"instruction": "A chat. If a car rental company has 120 cars and rents out 75% of them on a particular day, how much revenue does the company generate if each rented car brings in an average of $80?"} {"instruction": "A chat. A rectangular room has a length of 15 meters and a width of 10 meters. What is the area of the floor in square meters?"} {"instruction": "A chat. A factory produces widgets at a rate of 500 per hour. The quality control department checks every 50th widget and finds that 98% pass inspection. How many defective widgets are produced in an 8-hour shift?"} {"instruction": "A chat. A company plans to launch a new product line and needs to determine the required production capacity. The initial market research estimates a demand of 10,000 units per month. However, the demand may increase by 15% annually. The production facility can produce 12,000 units per month at full capacity but requires a $1 million investment. Calculate the break-even point for this investment, considering a profit margin of $50 per unit. Also, estimate when the company should consider expanding its production capacity based on projected demand growth. Explain your reasoning.\n"} {"instruction": "A chat. There are 5 cats in a room, and each cat has 4 legs. A spider enters the room with its 8 legs. How many legs are there in total in the room?"} {"instruction": "A chat. How many breaths does an average adult take in 24 hours, given that the average breathing rate is 12-20 breaths per minute?"} {"instruction": "A chat. A store sells two types of items: Type A costs $10 and has a profit margin of 40%, while Type B costs $20 and has a profit margin of 25%. If the store sells 200 Type A items and 150 Type B items in a month, what is the total profit made from these sales?"} {"instruction": "A chat. A cruise line is planning to launch a new ship with a capacity of 3,000 passengers and 1,200 crew members. The ship will operate on seven-day itineraries, visiting four different ports during each trip. Calculate the total number of meals needed to be prepared on board for one week, assuming three meals per day for passengers and crew members. Also, estimate the cost of provisioning food supplies for the entire voyage, given that the average meal cost is $10 per person.\n"} {"instruction": "A chat. There are 5 cats in a room. Each cat catches 3 mice. How many legs are there in the room?"} {"instruction": "A chat. Use the Pythagorean theorem to find the hypotenuse of a right triangle with legs of length 8 and 15."} {"instruction": "A chat. In a classroom of 30 students, 12 are boys and the rest are girls. If 8 boys wear glasses and 6 girls wear glasses, what is the probability that a randomly chosen student wears glasses?"} {"instruction": "A chat. In a class of 40 students, 70% of them prefer chocolate ice cream while the rest prefer vanilla. If the teacher wants to buy ice cream for the entire class, how many more chocolate ice creams should they buy compared to vanilla?"} {"instruction": "A chat. In a chemistry lab, a student needs to create a solution with a concentration of 15% salt. The student has access to two solutions: one with a concentration of 10% salt and another with a concentration of 20% salt. If the student needs to make 100 mL of the final solution, how much of each solution should they mix together?"} {"instruction": "A chat. Solve for x in the equation 3x + 5 = 17, providing step-by-step reasoning.\n"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 80 kilometers per hour. The total distance between the two towns is 320 kilometers. How many minutes will it take for the train to reach Town B?"} {"instruction": "A chat. A train travels from Town A to Town B, then back to Town A, and finally to Town C. The distance between Town A and Town B is 100 miles, and the distance between Town A and Town C is 150 miles. If the train travels at a constant speed of 50 miles per hour, how long does it take for the train to complete its journey?"} {"instruction": "A chat. A cruise ship company wants to maximize revenue by optimizing cabin occupancy rates during peak travel seasons. The company operates three ships, each with a capacity of 2,000 passengers. During peak season, the ships sail at 90% occupancy, while off-peak occupancy drops to 60%. The company aims to achieve a consistent 80% occupancy rate throughout the year. Develop a pricing strategy that considers seasonal demand fluctuations and provides incentives for travelers to book during off-peak periods.\n"} {"instruction": "A chat. A hotel chain is considering expanding its operations into a new market with high tourism potential. They currently operate 100 hotels worldwide, with an average occupancy rate of 80%. To justify the investment in the new location, they need to achieve an annual revenue growth of at least 5% over the next five years. Develop a plan for entering the new market, taking into account factors such as property acquisition, local regulations, and marketing strategies.\n"} {"instruction": "A chat. A construction company has been contracted to build a large residential complex consisting of 10 apartment buildings, each with 50 units. Each unit requires 2,000 square feet of flooring material, which comes in rolls that cover 200 square feet. The company receives a volume discount of 5% when ordering more than 500 rolls at a time. Determine the optimal order quantity to minimize costs while ensuring enough materials are available for the entire project. Explain your reasoning.\n"} {"instruction": "A chat. Show that the group of all permutations of three elements is non-abelian."} {"instruction": "A chat. In a group of people, there are twice as many women as men. If 20% of the men and 15% of the women wear glasses, what percentage of the whole group wears glasses?"} {"instruction": "A chat. If a train travels at an average speed of 80 kilometers per hour and takes 3 hours to reach its destination, how many meters does it travel? (Use the conversion factor 1 kilometer = 1000 meters)"} {"instruction": "A chat. A company has 3 employees who earn $15, $20, and $25 per hour respectively. If each employee works for 6 hours a day, what is the total daily wage cost for the company?"} {"instruction": "A chat. A company has 7 managers and wants to form a committee of 3 members. In how many ways can they form the committee if two specific managers cannot be on the committee together?"} {"instruction": "A chat. A store sells apples for $2 per pound and oranges for $3 per pound. If a customer buys 5 pounds of apples and 4 pounds of oranges, what is the cost of their purchase before tax?"} {"instruction": "A chat. How many miles would you travel if you walk at a pace of 3.5 miles per hour for 2 hours and 45 minutes?"} {"instruction": "A chat. A theme park is planning to build a new roller coaster with a budget of $10 million. The construction cost is estimated at $8 million, leaving $2 million for marketing, staff training, and maintenance during the first year of operation. The park expects to attract an additional 500,000 visitors annually due to the new attraction, with each visitor spending an average of $50 on tickets and concessions. Calculate the expected return on investment (ROI) after one year and provide step-by-step reasoning.\n"} {"instruction": "A chat. Consider a standard deck of 52 playing cards. What is the probability of drawing a heart OR a queen from the deck? Show your reasoning."} {"instruction": "A chat. There are 5 red balls and 7 blue balls in a bag. You draw two balls from the bag without replacement. What is the probability that you draw one ball of each color?"} {"instruction": "A chat. If a farmer has 15 acres of land and wants to divide it into equal rectangular plots, what are the possible dimensions of each plot?"} {"instruction": "A chat. If A and B are two events with P(A) = 0.6, P(B) = 0.7, and P(A \u2229 B) = 0.4, find P(A \u222a B)."} {"instruction": "A chat. A bus leaves from Town A to Town B every 20 minutes, starting at 6:00 AM. The distance between the towns is 60 miles. If the bus travels at a constant speed of 40 miles per hour, how many buses will arrive in Town B by 12:00 PM?"} {"instruction": "A chat. In a small town, there are 4 barbers. Barber A has a haircut from Barber B. Barber B has a haircut from Barber C. Barber C has a haircut from Barber D. Who cuts Barber D's hair?"} {"instruction": "A chat. A train travels at a speed of 60 mph and takes 4 hours to reach its destination. If the train had traveled at a speed of 80 mph instead, how long would it take to reach the same destination?"} {"instruction": "A chat. A company has 10 employees who each work 8 hours a day, 5 days a week. If they are paid $20 per hour, what is the company's total payroll expense for one month (assuming 4 weeks)?"} {"instruction": "A chat. A jar contains red, blue, and green marbles. There are twice as many red marbles as blue marbles, and there are 5 more green marbles than red marbles. If there are a total of 23 marbles in the jar, how many marbles of each color are there?"} {"instruction": "A chat. A man is looking at a painting in an art gallery. He says, \"Brothers and sisters, I have none, but this man's father is my father's son.\" Whose portrait is the man looking at?"} {"instruction": "A chat. A pharmaceutical company is developing a vaccine distribution plan for a newly approved drug. The vaccine requires two doses administered four weeks apart, and there are 50 million people eligible for vaccination. Calculate the number of doses needed, the time required to vaccinate the entire target population, and the logistics involved in distributing the vaccines, considering factors such as production capacity, transportation, and storage requirements. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A car has 4 tires. Each tire has a lifespan of 50,000 miles. How many miles can the car travel before all tires need to be replaced? Explain your answer."} {"instruction": "A chat. A city's public transportation system is evaluating the feasibility of implementing a bike-sharing program. The initial investment would include purchasing 1,000 bicycles, installing docking stations throughout the city, and hiring maintenance staff. Estimate the startup costs and ongoing operational expenses for the program, factoring in variables such as bicycle lifespan, maintenance frequency, and usage rates.\n"} {"instruction": "A chat. A hospital wants to upgrade its emergency department by adding more beds and staff. Currently, there are 100 beds available, and they want to increase this number by 50%. The hospital has a budget of $15 million for this expansion. The cost breakdown is as follows: 60% for construction and equipment, 30% for hiring additional staff, and 10% for training and other expenses. Calculate the budget allocation for each category and determine how many new staff members can be hired, considering an average annual salary of $70,000 per employee.\n"} {"instruction": "A chat. A city is planning to construct a new sports complex that includes multiple facilities for various sports. The total area of the land allocated for the project is 500,000 square feet. The complex must include a soccer field (110,000 sq ft), a baseball field (90,000 sq ft), an indoor swimming pool (50,000 sq ft), and a basketball court (10,000 sq ft). Additionally, there should be space for parking lots, restrooms, locker rooms, and landscaping. Calculate the remaining area available for these amenities and suggest how it can be optimally utilized. Provide step-by-step reasoning.\n"} {"instruction": "A chat. If you drive at an average speed of 50 miles per hour for 2.5 hours, how far will you travel?"} {"instruction": "A chat. In a class of 40 students, 60% passed an exam. If each student who passed the exam scored an average of 80 points and the overall class average was 65 points, what was the average score of the students who failed the exam?"} {"instruction": "A chat. In a town, 30% of the population are children. Of the remaining adults, 40% are men and the rest are women. If there are 6,000 people in the town, how many women live there?"} {"instruction": "A chat. A shop sells chocolates in boxes of 12, 18, and 24 pieces. What is the smallest number of chocolates you could buy if you want to have the same number of chocolates from each type of box? Explain your thought process."} {"instruction": "A chat. A factory produces 200 widgets per hour. Each widget must pass through three quality control checkpoints before being packaged for shipment. At each checkpoint, 10% of the widgets are rejected. How many widgets are successfully packaged for shipment after passing all three checkpoints in one hour?"} {"instruction": "A chat. A triangle has sides with lengths of 5 cm, 12 cm, and 13 cm. What is the area of the triangle?"} {"instruction": "A chat. If a rectangular room measures 15 feet by 20 feet, how many square meters is its area?"} {"instruction": "A chat. Determine the compound interest earned on a principal amount of $1,000 invested at an annual interest rate of 5% compounded annually for 3 years. Use the formula A=P(1+r/n)^(nt) and explain your steps.\n"} {"instruction": "A chat. If a bacteria population doubles every 3 hours, how many bacteria will be present after 12 hours if the initial population was 500?"} {"instruction": "A chat. A man has 9 friends. Each friend gives him 3 apples. How many apples does the man have now? Provide step-by-step logic."} {"instruction": "A chat. A bee lands on a flower every 10 seconds and stays for 5 seconds before flying off to the next flower. How much time does the bee spend landing on flowers in one hour? Provide your reasoning."} {"instruction": "A chat. A person invests $5000 at an annual interest rate of 4% compounded quarterly. What will be the total amount after 3 years?"} {"instruction": "A chat. If a bottle contains 500 ml of water and you drink 150 ml every hour, how long will the water last? Provide step-by-step logic."} {"instruction": "A chat. A farmer has a rectangular field with a length of 120 meters and a width of 80 meters. He wants to divide the field into square plots of equal size without leaving any leftover space. What is the largest possible size of each square plot?"} {"instruction": "A chat. Evaluate the triple integral of xyz over the region bounded by z=x^2+y^2 and z=4-x^2-y^2."} {"instruction": "A chat. If a bank offers an annual interest rate of 5% compounded monthly on a savings account, how much will a $10,000 initial deposit grow to after 2 years?"} {"instruction": "A chat. A company has two types of employees: full-time and part-time. Full-time employees work 40 hours per week and earn $20 per hour, while part-time employees work 25 hours per week and earn $15 per hour. If the company has 30 full-time employees and 20 part-time employees, what is the company's total weekly payroll expense?"} {"instruction": "A chat. In a month with 30 days, each day either rains or doesn't rain. If it rained for 15 days, what is the probability that it will rain on the last day of the month?"} {"instruction": "A chat. A movie theater has 15 rows of seats. Each row has 12 seats. If the theater is two-thirds full, how many seats are occupied? Explain your thought process."} {"instruction": "A chat. There are 30 students in a class. The teacher gave each student either 3 or 4 pencils. If there are a total of 105 pencils distributed among the students, how many students received 4 pencils?"} {"instruction": "A chat. If a cyclist travels at an average speed of 18 miles per hour for 2 hours and 30 minutes, how far does the cyclist travel?"} {"instruction": "A chat. Use Bayes' theorem to determine the probability of having a disease given a positive test result, if the prevalence of the disease is 0.01 and the sensitivity and specificity of the test are both 95%. Show your work.\n"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the two towns is 120 miles. If the train takes 30 minutes longer to complete the journey when traveling against the wind than when traveling with the wind, and the wind affects the train's speed by 10 mph, what is the train's speed in still air?"} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" Each box is filled with either apples, oranges, or a mix of both fruits. All the labels on the boxes are incorrect. You can only take one fruit out of one box without looking inside. How can you correctly label all the boxes?"} {"instruction": "A chat. Five friends decide to split the cost of a $100 gift equally. However, one friend decides not to contribute. How much does each of the remaining four friends have to pay now?"} {"instruction": "A chat. A train travels at a constant speed from Town A to Town B, which are 300 miles apart. The train leaves Town A at 10 AM and arrives in Town B at 4 PM. If the train makes a 30-minute stop halfway between the two towns, how fast was the train traveling during its journey?"} {"instruction": "A chat. A train travels from Town A to Town B at an average speed of 100 km/h. The return trip takes 25% longer due to track maintenance. What is the average speed for the entire round trip?"} {"instruction": "A chat. A group of people is working on a project that takes 30 days to complete if all members work together. If one person leaves the group, it will take an additional 5 days for the remaining members to finish the project. How many people were initially in the group?"} {"instruction": "A chat. There are 10 birds on a tree branch. A hunter shoots one bird down. How many birds remain on the branch?"} {"instruction": "A chat. A car rental company charges $25 per day for renting a car and an additional 15 cents per mile driven. How much would it cost to rent the car for 5 days and drive it for 200 miles?"} {"instruction": "A chat. In how many ways can a committee of 5 people be formed from a group of 12 men and 8 women if at least 3 women must be on the committee?"} {"instruction": "A chat. There are 5 people in a room - Alice, Bob, Carol, Dave, and Eve. If each person shakes hands with every other person exactly once, how many handshakes will take place?"} {"instruction": "A chat. An airline company is evaluating the profitability of adding a new route between two cities. They need to consider factors such as fuel costs, aircraft maintenance, crew salaries, airport fees, and passenger demand. The flight distance is 1500 miles, and the average fuel consumption rate is 5 gallons per mile. The cost of jet fuel is $3 per gallon. Each flight requires a crew of 6, who are paid an average salary of $50,000 per year. Airport fees amount to $10,000 per month for each city. Estimate the annual operating cost of this new route and describe your reasoning.\n"} {"instruction": "A chat. A father is 45 years old, and his son is 15 years old. In how many years will the father be twice as old as the son?"} {"instruction": "A chat. A store sells two types of candy bars: small ones for $1.50 each and large ones for $2.50 each. If a customer buys 8 small candy bars and 6 large candy bars, what is the total cost?"} {"instruction": "A chat. A store sells two types of widgets: Widget X and Widget Y. The profit margin on Widget X is 25%, while the profit margin on Widget Y is 40%. If the store sold 100 units of Widget X at $20 each and 50 units of Widget Y at $30 each, what was the total profit generated by these sales?"} {"instruction": "A chat. If a train travels at an average speed of 60 mph for 4 hours, then slows down to 40 mph for the next 3 hours, how far has it traveled in total?"} {"instruction": "A chat. In a group of people, 40% have brown eyes, 30% have green eyes, and the rest have blue eyes. If someone with green eyes leaves the group, what percentage of the remaining people have green eyes?"} {"instruction": "A chat. A national park is conducting a study on the impact of visitor traffic on local wildlife populations. Over the past decade, annual visitation has increased by 15%, leading to concerns about habitat disruption and resource depletion. Park officials want to implement measures to minimize these impacts without significantly reducing visitor access. Develop a plan for monitoring and managing visitor activity in the park, considering factors such as trail usage, camping restrictions, and educational programs.\n"} {"instruction": "A chat. An airline company wants to optimize its fleet management by analyzing the fuel consumption of its aircraft. They have three types of planes: small, medium, and large. Small planes consume an average of 200 gallons of fuel per hour, medium planes use 400 gallons per hour, and large planes require 800 gallons per hour. The company operates 50 small planes, 30 medium planes, and 20 large planes. Calculate the total fuel consumption for a typical day when all planes fly for an average of 6 hours each. Additionally, consider that fuel prices fluctuate daily, and provide a strategy for the company to minimize fuel expenses.\n"} {"instruction": "A chat. A company sells two types of products, X and Y. In one month, they sold 1500 units of product X at $30 per unit and 1200 units of product Y at $40 per unit. What was their total revenue for that month?"} {"instruction": "A chat. In how many ways can you choose 3 items from a set of 5 distinct items?"} {"instruction": "A chat. A cruise ship company is planning a 7-day trip for its passengers. The ship has a capacity of 2,000 passengers and offers various types of cabins: interior (500 available, $1,200 per person), ocean view (800 available, $1,500 per person), balcony (600 available, $2,000 per person), and suite (100 available, $3,500 per person). Calculate the total revenue generated from cabin sales if the ship sails at full capacity. Additionally, estimate the daily food and beverage costs based on an average spend of $75 per passenger per day.\n"} {"instruction": "A chat. A rectangular garden measures 20 feet by 30 feet. If a gardener wants to build a fence around the entire garden with an additional gate that is 4 feet wide, what is the total length of fencing needed in feet?"} {"instruction": "A chat. A logistics company is planning to build a new distribution center to serve multiple cities within a 200-mile radius. They need to determine the optimal location for the center based on factors such as proximity to major highways, population density, and land costs. Develop a method for evaluating potential locations and provide step-by-step instructions for conducting this analysis.\n"} {"instruction": "A chat. A zoo wants to estimate the annual food consumption of its animals to plan its budget accordingly. The zoo houses 300 mammals, 200 birds, and 100 reptiles. On average, each mammal consumes 10 kg of food per day, each bird consumes 0.5 kg of food per day, and each reptile consumes 2 kg of food per day. Calculate the total amount of food consumed by all animals in the zoo annually, taking into account that the zoo is open 365 days a year. Explain your reasoning.\n"} {"instruction": "A chat. A construction company is building a new residential complex with 200 apartments. Each apartment has an average area of 1,500 square feet. The company estimates that it takes one worker 10 hours to complete the flooring for every 100 square feet. Determine how many workers are needed to finish the flooring within a 30-day deadline, assuming each worker works 8 hours a day. Provide your reasoning.\n"} {"instruction": "A chat. How many times would a clock's minute hand overlap with the hour hand in 24 hours?"} {"instruction": "A chat. A factory produces 200 units of product A and 300 units of product B every day. If each unit of product A takes 2 hours to produce and each unit of product B takes 3 hours to produce, how many hours does it take to produce all the products in a day?"} {"instruction": "A chat. If you read 30 pages of a book every day and there are 450 pages in the book, how long will it take you to finish the book?"} {"instruction": "A chat. A train travels at an average speed of 90 kilometers per hour for 2 hours and then slows down to an average speed of 60 kilometers per hour for another 1.5 hours. What is the total distance traveled by the train?"} {"instruction": "A chat. In a bag, there are 4 red balls, 3 blue balls, and 5 green balls. If you randomly pick two balls without replacement, what is the probability that both balls will be the same color?"} {"instruction": "A chat. A factory produces two types of widgets: type X and type Y. In one hour, the factory can produce 40 units of type X and 30 units of type Y. If it takes 2 hours to produce a batch of type X widgets and 3 hours to produce a batch of type Y widgets, how many total widgets are produced after 5 hours?"} {"instruction": "A chat. A factory produces 100 units of a product every day. If they increase their production by 50%, how many units will they produce daily?"} {"instruction": "A chat. In a class of 30 students, 15 are boys and the rest are girls. If 60% of the boys and 40% of the girls passed an exam, what percentage of the entire class passed?"} {"instruction": "A chat. A film production company is working on a movie with a budget of $80 million. The production team has allocated 40% of the budget for actors' salaries, 25% for location and set design, 15% for special effects, 10% for marketing, and the remaining 10% for miscellaneous expenses. Calculate the amount allocated for each category and determine if any adjustments need to be made based on industry standards or specific requirements for the movie's genre."} {"instruction": "A chat. In a school, there are 600 students. If 45% of them play sports and 30% of those who play sports also participate in music programs, how many students participate in both sports and music?"} {"instruction": "A chat. A construction company is building a skyscraper with 100 floors. Each floor has an area of 10,000 square feet, and the height between each floor is 14 feet. The company needs to install windows on all exterior walls, which cover 60% of the surface area. Calculate the total amount of glass needed for the windows, factoring in a 5% wastage allowance for cutting and breakage. Explain your reasoning.\n"} {"instruction": "A chat. A train leaves New York City heading towards Los Angeles at 60 mph. At the same time, another train leaves Los Angeles heading towards New York City at 90 mph. Which train will be closer to New York City when they meet?"} {"instruction": "A chat. If a fair six-sided die is rolled twice, what is the probability that the sum of the two rolls will be equal to 9?"} {"instruction": "A chat. A group of people were asked if they prefer tea or coffee. 40% said they prefer tea, and 70% said they prefer coffee. What percentage of the group prefers both tea and coffee?"} {"instruction": "A chat. In a school, there are 12 classes with 25 students in each class. How many students are there in the school? Show your work."} {"instruction": "A chat. Determine the derivative of f(x) = 3x^2 + 2x - 1."} {"instruction": "A chat. A farmer has 4 fields with areas of 20 acres, 30 acres, 40 acres, and 50 acres. He plants corn in all four fields. The yield per acre for each field is 120 bushels, 110 bushels, 100 bushels, and 90 bushels respectively. What is the average yield per acre across all four fields?"} {"instruction": "A chat. In how many ways can you distribute 10 identical apples among 3 children if each child must receive at least 2 apples?"} {"instruction": "A chat. A car traveling at an average speed of 45 miles per hour takes a trip that lasts 2 hours and 30 minutes. How many miles does the car travel during this trip?"} {"instruction": "A chat. In a game, you have a 1 in 6 chance of winning each time you play. What are the odds that you will win at least once if you play 6 times? Use logic and probability theory."} {"instruction": "A chat. In a group of 50 people, 20 are vegetarians and 30 are non-vegetarians. If 10 vegetarians and 15 non-vegetarians like pizza, what percentage of pizza lovers are vegetarians?"} {"instruction": "A chat. Find the slope of the line that passes through the points (2, 4) and (6, 12). Explain your reasoning.\n"} {"instruction": "A chat. Solve the expression: 2(3x - 5) + 7 = 4(x + 2)"} {"instruction": "A chat. A factory produces 250 units of a product per day. Each unit costs $12 to produce and is sold for $20. The factory operates 22 days per month. What is the factory's monthly profit?"} {"instruction": "A chat. In a village, there are more chickens than people, and more people than cows. There are more cows than dogs, and more dogs than cats. Which animal cannot be determined as either the most or least populous? Show your work."} {"instruction": "A chat. There are 50 people in a room. If 30% of the people wear glasses and 40% of the people have brown hair, how many people have both glasses and brown hair if there are no other correlations between these characteristics?"} {"instruction": "A chat. If you have a 20% off coupon for an item that originally costs $75, how much will you pay after applying the discount?"} {"instruction": "A chat. A train travels between two cities, City A and City B, at a constant speed. The distance between the cities is 300 miles. When the train is halfway between the cities, it stops for 15 minutes due to a technical issue. After fixing the problem, the train continues its journey and reaches City B 45 minutes later than planned. What was the original travel time between the two cities?"} {"instruction": "A chat. Three friends went out for dinner and decided to split the bill evenly. The total bill was $90. One friend only had a $50 bill, so he paid with that. The other two friends each gave him $10 to make up for the extra amount he paid. How much should each friend actually pay to make it even among all three?"} {"instruction": "A chat. A national park wants to build new hiking trails to accommodate an increasing number of visitors. The park currently has 200 miles of trails, and they plan to add another 50 miles over the next two years. Each mile of trail construction costs $15,000, and the park receives government funding of $500,000 per year for infrastructure improvements. Determine if the park can complete the trail expansion within their budget and timeframe, providing step-by-step calculations.\n"} {"instruction": "A chat. A factory produces two types of products: Product A and Product B. Each day, the factory can produce either 100 units of Product A or 200 units of Product B. If the factory operates for 20 days and produces a total of 3000 units, how many days were spent producing each product?"} {"instruction": "A chat. How many gallons of water would it take to fill a cylindrical tank with a diameter of 10 feet and a height of 12 feet?"} {"instruction": "A chat. Calculate the value of the expression: 5(2x - 3)^2 + 7 when x = 4."} {"instruction": "A chat. Three people check into a hotel room that costs $30. They split the cost evenly and each pay $10. Later, the hotel manager realizes the room should have only cost $25. To rectify this, he gives the bellboy $5 to return to the guests. On the way to their room, the bellboy decides to keep $2 for himself and only give back $1 to each guest. Now, each guest paid $9 (adding up to $27) and the bellboy kept $2 which adds up to $29. Where is the missing dollar? Explain your thought process."} {"instruction": "A chat. A film production company is planning a large-scale movie project with an estimated budget of $150 million. The budget includes costs for actors' salaries, set construction, equipment rental, special effects, marketing, and distribution. The company wants to allocate the budget in such a way that maximizes the potential return on investment while maintaining high production quality. Develop a budget allocation plan and describe your reasoning.\n"} {"instruction": "A chat. If a factory produces 200 widgets per hour, how long will it take to produce 15,000 widgets?"} {"instruction": "A chat. A city has a population of 1 million people. If the birth rate is 12 per 1000 people and the death rate is 8 per 1000 people, what is the net increase in population after one year?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 6 feet and a height of 10 feet. What is its volume in cubic feet?"} {"instruction": "A chat. There are 12 coins in front of you, and one of them is counterfeit. The counterfeit coin weighs slightly less than the other 11 genuine coins. You have a balance scale that can compare the weights of two groups of coins. What is the minimum number of weighings needed to identify the counterfeit coin?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding electric buses to the existing fleet. The city currently has 100 diesel buses, and plans to replace them with electric buses over a period of 10 years. Each electric bus costs $500,000, while each diesel bus can be sold for $200,000. The annual maintenance cost for an electric bus is $20,000, while it's $50,000 for a diesel bus. Calculate the total cost of this transition, taking into account the sale of diesel buses and the difference in maintenance costs. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A factory produces widgets at a rate of 200 per hour. The factory operates for 16 hours a day and is closed on Sundays. How many widgets are produced in a week?"} {"instruction": "A chat. If it takes 10 minutes to boil an egg in a pot of water, how long does it take to boil 6 eggs in the same pot at the same time?"} {"instruction": "A chat. Given a continuous function f(x) on the interval [0, 1] that satisfies the boundary conditions f(0) = f(1) = 0, use the method of separation of variables to solve the partial differential equation:\n \u2202u/\u2202t = k \u2202\u00b2u/\u2202x\u00b2\nProvide step-by-step reasoning and explain your method."} {"instruction": "A chat. In a group of 50 people, 20 are vegetarians and 30 are non-vegetarians. If you randomly select two people from this group, what is the probability that both are vegetarians?"} {"instruction": "A chat. If a bacteria population doubles every 3 hours, how many times will it have doubled after 24 hours?"} {"instruction": "A chat. If a car travels at a constant speed of 60 mph for 3 hours, how far does it travel?"} {"instruction": "A chat. There are 10 cats and 20 dogs in a park. Each cat has 4 legs, and each dog has 3 legs due to a recent epidemic that caused all dogs to lose one leg. How many legs are there in total among all the animals in the park?"} {"instruction": "A chat. There are 6 pairs of black socks and 4 pairs of white socks in a drawer. The room is completely dark, and you need to pick out a matching pair of socks. What is the minimum number of socks you need to take out of the drawer to ensure you have a matching pair?"} {"instruction": "A chat. A train leaves Town A heading towards Town B at 60 mph. At the same time, another train leaves Town B heading towards Town A at 80 mph. If the distance between the towns is 210 miles, how long does it take for the trains to meet each other?"} {"instruction": "A chat. A teacher gives 5 stickers to each student. If there are 25 students in the class, how many stickers does the teacher give out in total? Explain your steps."} {"instruction": "A chat. There are 10 boxes, each containing some number of balls. The total number of balls across all boxes is 100. You can distribute the balls among the boxes any way you like. What is the maximum number of boxes you can choose such that the sum of the balls in those chosen boxes is less than or equal to 50?"} {"instruction": "A chat. There are 20 red balls and 30 blue balls in a box. If you randomly pick one ball, replace it, and then pick another ball, what is the probability of picking a red ball followed by a blue ball?"} {"instruction": "A chat. In a group of 50 people, 30 have brown eyes and the rest have blue eyes. If you randomly select 5 people from this group, what is the probability that exactly 3 of them will have brown eyes?"} {"instruction": "A chat. A farmer has a fox, a chicken, and a bag of grain. He needs to transport them across a river using a small boat. However, he can only take one item with him on each trip. If left alone, the fox will eat the chicken, and the chicken will eat the grain. How can the farmer transport all three items across the river without any of them being eaten?"} {"instruction": "A chat. If you drive at an average speed of 65 miles per hour for 4.5 hours, how far will you travel?"} {"instruction": "A chat. How many jellybeans are in a jar if I start with 50 marbles and add 30 gummy bears?"} {"instruction": "A chat. In a certain city, all streets run either north-south or east-west, forming a grid pattern. Jane lives on the corner of 1st Street and 1st Avenue. Her school is located on the corner of 6th Street and 7th Avenue. If she must walk along the streets (not diagonally), what is the shortest distance she can travel to reach her school?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 80 km/h. Halfway through the journey, it starts raining, and the train's speed is reduced by 20%. How much longer does it take for the train to complete its journey compared to if it had maintained its original speed?"} {"instruction": "A chat. A coffee shop sells small and large cups of coffee. The ratio of small to large cups sold is 3:2. If they sell 250 cups of coffee in total, how many of each size were sold?"} {"instruction": "A chat. Five people participated in a pie-eating contest. Alice ate 5 pies, Bob ate 3 pies, Carol ate 7 pies, David ate 2 pies, and Emily ate 4 pies. The person who ate the most pies received a prize. However, if there was a tie for first place, no one would receive the prize. Who won the prize?"} {"instruction": "A chat. A farmer has 30 animals on his farm consisting of cows and chickens. If there are a total of 80 legs among these animals, how many cows does he have?"} {"instruction": "A chat. There are 50 red balls and 50 blue balls in a bag. What is the minimum number of balls you need to draw from the bag without looking to guarantee that you have at least 3 balls of the same color?"} {"instruction": "A chat. If a bee visits 5 flowers per minute and each flower produces 0.02 grams of nectar, how much nectar would the bee collect in an hour if it worked non-stop? Show your reasoning."} {"instruction": "A chat. A store sells two types of items - type X and type Y. The profit margin on each item of type X is $12, while the profit margin on each item of type Y is $8. If the store sold a total of 100 items last month and made a total profit of $980, how many items of each type were sold?"} {"instruction": "A chat. In a class of 30 students, 18 are boys and 12 are girls. If the teacher randomly selects one student to answer a question, what is the probability that the selected student is a girl?"} {"instruction": "A chat. In a family, there are 5 children. Each child was born on the same day of the week but in different years. If the oldest child was born on January 1st, 2000, which is a Saturday, what day of the week was the youngest child born?"} {"instruction": "A chat. In a village, there are 50 houses. Each house has either blue or red doors. If the number of houses with blue doors is more than twice the number of houses with red doors, how many houses have blue doors?"} {"instruction": "A chat. A city plans to upgrade its public parks to make them more accessible and enjoyable for residents. There are 100 parks in the city, with varying sizes and amenities. The city has allocated a budget of $25 million for the project. Upgrades include installing new playground equipment, improving walking paths, and adding outdoor fitness stations. The cost of each upgrade varies depending on park size and existing infrastructure. Develop a prioritization plan for upgrading the parks that maximizes the impact of the budget while considering factors such as population density, park usage, and community needs.\n"} {"instruction": "A chat. A group of friends plans to split the cost of a $1200 vacation rental evenly among themselves. If each person contributes $150, how many friends are in the group?"} {"instruction": "A chat. If a tree produces 200 apples in one season, and each apple has 8 seeds, how many seeds could potentially grow into new trees the next season? Show your reasoning."} {"instruction": "A chat. In a certain village, half of the villagers own cats, and one-third of the villagers own dogs. One-sixth of the villagers own both cats and dogs. What fraction of the villagers owns neither a cat nor a dog?"} {"instruction": "A chat. An airplane carries 300 passengers on each flight. How many passengers does it carry in a week if it makes 2 flights a day? Show your work."} {"instruction": "A chat. A company produces widgets at a cost of $5 per widget and sells them for $15 each. The fixed costs for production are $2000. How many widgets must they sell to break even? Explain your calculations.\n"} {"instruction": "A chat. In a class of 30 students, 18 students play soccer, 20 students play basketball, and 8 students play neither sport. How many students play both soccer and basketball?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding 50 new buses over the next three years. Each bus has a seating capacity of 60 passengers and costs $300,000. The city also needs to build new bus depots for maintenance and storage, with each depot costing $2 million and accommodating up to 20 buses. Calculate the total cost of this project, considering the purchase of buses, construction of depots, and annual operating expenses of $100,000 per bus. Also, estimate the number of additional passengers that can be accommodated in the upgraded system.\n"} {"instruction": "A chat. A hospital is conducting a study on the efficiency of its emergency department. They want to analyze the average waiting time for patients before being seen by a doctor. To do this, they need to consider factors such as patient arrival rate, number of doctors on duty, and the average consultation time per patient. Describe in steps how this analysis can be done, and which variables to consider.\n"} {"instruction": "A chat. A cruise ship company is designing a new luxury liner that will accommodate 2,000 passengers and 1,000 crew members. The ship will feature various amenities such as restaurants, swimming pools, theaters, and shopping areas. Determine the optimal allocation of space for each amenity type based on passenger preferences and average revenue generation per square foot. Also, calculate the total construction cost if the average cost per square foot is $500.\n"} {"instruction": "A chat. Solve: (4 * 3) / 2 + 5^2 - 10 ="} {"instruction": "A chat. If a car rental company has 50 cars and each car is rented out for an average of 20 days per month, how much revenue does the company generate in a year if they charge $30 per day for each car?"} {"instruction": "A chat. Given the function f(x) = |x-3|, find its Fourier series representation."} {"instruction": "A chat. A company employs 500 people. If 70% of them are men, how many women work at the company? Show your calculations."} {"instruction": "A chat. A bag contains 5 red balls and 7 blue balls. If you draw 4 balls from the bag without replacement, what is the probability that exactly 2 of them are red?"} {"instruction": "A chat. If a car factory produces 15 cars per hour, how many cars will it produce in a non-leap year?"} {"instruction": "A chat. There are 12 red balls and 8 blue balls in a box. If you randomly pick one ball from the box, what is the probability of picking a red ball?"} {"instruction": "A chat. In a village, there are 10 houses. Every house has 5 people living in it. Out of these 5 people, 2 are always telling the truth and 3 are always lying. If one person from each house attends a meeting, how many liars could be at the meeting?"} {"instruction": "A chat. It takes 20 minutes to cook 1 cup of rice in a rice cooker. How long will it take to cook 4 cups of rice?"} {"instruction": "A chat. A farmer has 120 meters of fencing to enclose a rectangular field. If the length of the field is twice its width, what are the dimensions of the field that will maximize its area?"} {"instruction": "A chat. A farmer has a rectangular field with a length of 120 meters and a width of 80 meters. He wants to divide the field into square plots of equal size without leaving any space unused. What is the largest possible side length for each square plot?"} {"instruction": "A chat. There are 30 socks in a drawer, consisting of 10 pairs of white socks and 5 pairs of black socks. If you randomly pick out socks one by one without looking, how many socks do you need to pick to guarantee having at least one matching pair?"} {"instruction": "A chat. If a group of people stand in a circle and everyone shakes hands with every other person exactly once, how many handshakes will take place if there are 15 people in the circle?"} {"instruction": "A chat. A factory produces 1200 widgets per day. Each widget must pass through three quality control checkpoints before being approved for sale. If 5% of widgets fail at the first checkpoint, 3% fail at the second checkpoint, and 2% fail at the third checkpoint, how many widgets are approved for sale each day?"} {"instruction": "A chat. A factory produces 1000 widgets per day. Each widget requires 3 screws and 4 bolts to assemble. How many screws and bolts does the factory need for one week if they work 6 days a week?"} {"instruction": "A chat. A rectangle has a length of 10 inches and a width of 6 inches. If you double the length and triple the width, what is the new area of the rectangle?"} {"instruction": "A chat. A company sells a product at $50 per unit. The fixed costs associated with producing the product are $10,000, and the variable cost per unit is $20. How many units must be sold to break even?"} {"instruction": "A chat. A baker uses 15 eggs for every 20 cakes she bakes. How many eggs does she use if she bakes 100 cakes? Show your work."} {"instruction": "A chat. A snail climbs up a wall during the day and slides down at night. During the day, the snail climbs 3 feet, but at night it slides down 2 feet. If the wall is 30 feet high, how many days does it take for the snail to reach the top? Include your logic."} {"instruction": "A chat. You're reading a book with 300 pages. You read 20 pages a day for the first five days, then you double the amount of pages you read daily for the next five days. How many more days will it take you to finish the book after the initial ten days? Explain your thought process."} {"instruction": "A chat. An airline company operates flights between two cities, with each flight having a capacity of 200 passengers. The company offers three classes of tickets: economy, business, and first class. Economy tickets make up 70% of the seats, business class makes up 25%, and first class accounts for the remaining 5%. Ticket prices are $300 for economy, $800 for business, and $1500 for first class. Calculate the total revenue generated from a fully booked flight and estimate the annual revenue if the company operates four flights per day between these cities, assuming a 365-day year.\n"} {"instruction": "A chat. Compute the double integral of f(x,y) = xy over the region bounded by y=x, y=0, and x=1."} {"instruction": "A chat. If a person reads 5 pages of a book every day, how many books can they read in a year if each book has 200 pages? Show your work."} {"instruction": "A chat. You walk into a room with a match. Inside the room, there is a stove, a fireplace, and a candle. Which do you light first?"} {"instruction": "A chat. There are two boxes, one with red balls and one with blue balls. In the first box, there are 5 red balls and 7 blue balls. In the second box, there are 8 red balls and 6 blue balls. If you randomly pick one ball from each box, what is the probability that both balls will be the same color?"} {"instruction": "A chat. A car travels at a constant speed of 60 miles per hour. How far will it travel in 45 minutes?"} {"instruction": "A chat. A store sells two types of candies: small and large. Small candies cost $0.50 each, while large candies cost $1.00 each. If John buys 20 candies for a total of $15.00, how many large candies did he buy?"} {"instruction": "A chat. There are three boxes in a room. One box contains only apples, another box contains only oranges, and the third box contains both apples and oranges. All boxes are labeled incorrectly. You can take out one fruit from any box without looking inside. How many fruits do you need to take out to correctly label all the boxes?"} {"instruction": "A chat. If there are approximately 50 million bacteria in a petri dish and they double in number every 20 minutes, how many bacteria will be present after 1 hour?"} {"instruction": "A chat. If you have 5 apples and you take away 3, how many do you have left?"} {"instruction": "A chat. In how many ways can you distribute 12 identical apples among 4 children if each child must receive at least 2 apples?"} {"instruction": "A chat. A store sells apples for $1.50 per pound and oranges for $2.00 per pound. If a customer buys a total of 8 pounds of fruit and spends exactly $12.50, how many pounds of each type of fruit did they buy?"} {"instruction": "A chat. In an election, candidate A received 55% of the total votes cast, while candidate B received 35%. If there were 12,000 total votes cast, how many more votes did candidate A receive than candidate B?"} {"instruction": "A chat. A factory produces 200 units of a product every hour. Due to increased demand, they decide to increase production by 15% each week. How many units will be produced in total after three weeks?"} {"instruction": "A chat. If every person in a room shakes hands with every other person exactly once, and there were a total of 45 handshakes, how many people are in the room?"} {"instruction": "A chat. A factory produces 450 units of product A and 600 units of product B every day. Product A is sold for $25 per unit, while product B is sold for $30 per unit. What is the combined daily revenue from both products?"} {"instruction": "A chat. A factory produces 200 widgets per hour. Each widget is tested for quality before being packaged. If 5% of the widgets fail the quality test and need to be discarded, how many widgets are successfully packaged in an 8-hour workday?"} {"instruction": "A chat. A rectangular room has a length of 12 meters and a width of 8 meters. If you want to cover the entire floor with square tiles that are each 0.5 meters on a side, how many tiles will you need?"} {"instruction": "A chat. If you were traveling at the speed of sound, how long would it take to travel from New York City to Los Angeles?"} {"instruction": "A chat. A gardener can water 6 plants in 15 minutes using a single watering can. How long will it take to water 24 plants?"} {"instruction": "A chat. A father has 4 children. The oldest child likes to play soccer. The second oldest likes to read books. The third oldest enjoys painting. What does the youngest child like to do?"} {"instruction": "A chat. The average human heart beats about 72 times per minute. How many times does it beat in one day?"} {"instruction": "A chat. Solve: (6 / 2) * (9 - 3) + 10 / 2 ="} {"instruction": "A chat. An airline plans to introduce a new route connecting two cities, which are 1,500 miles apart. The airline has two aircraft options: Aircraft A has a seating capacity of 180 passengers and consumes 0.06 gallons of fuel per passenger-mile, while Aircraft B has a seating capacity of 220 passengers and consumes 0.05 gallons of fuel per passenger-mile. Calculate the daily fuel consumption for both aircraft options if they operate four round trips per day, and determine which aircraft would be more fuel-efficient for this route.\n"} {"instruction": "A chat. A factory produces 1000 widgets per day. Each widget is either red or blue. On a certain day, the factory produced 600 red widgets and 400 blue widgets. What is the probability that if you randomly select two widgets, they will both be red?"} {"instruction": "A chat. If a car's wheels have a diameter of 60 cm, how many times will the wheels rotate when the car travels 1 kilometer?"} {"instruction": "A chat. A farmer has chickens and rabbits in his yard. He counted a total of 30 heads and 80 legs. How many chickens and rabbits does the farmer have?"} {"instruction": "A chat. A city's public transportation system wants to upgrade its fleet of buses to electric models in order to reduce emissions and operating costs. There are currently 300 diesel-powered buses in service, each with an average fuel consumption of 4 miles per gallon and an annual mileage of 100,000 miles. The cost of diesel fuel is $3 per gallon. Electric buses have an energy consumption of 2 kWh per mile, with electricity costs at $0.12 per kWh. Calculate the potential annual savings from switching to electric buses and determine how many years it would take to recover the initial investment if each electric bus costs $500,000 and has a lifespan of 15 years."} {"instruction": "A chat. If a sum of $10,000 is invested at an annual interest rate of 5%, compounded quarterly, how much will the investment be worth after 3 years?"} {"instruction": "A chat. There are 24 hours in a day. How many seconds are there in a day? Show your work."} {"instruction": "A chat. There are 100 people in a room. Half of them are wearing glasses, and one-third of the total number of people are wearing hats. If everyone wearing a hat is also wearing glasses, how many people are wearing only glasses?"} {"instruction": "A chat. If a snail travels at a speed of 0.03 miles per hour, how far would it travel in a month (assume 30 days) if it moved continuously? Explain your reasoning."} {"instruction": "A chat. A jar contains 5 red marbles, 7 green marbles, and 9 blue marbles. What is the probability of drawing a red marble followed by a green marble without replacing the first marble?"} {"instruction": "A chat. A farmer has 3 fields with different areas. The first field is 8 acres, the second field is 12 acres, and the third field is 15 acres. What percentage of the total area does each field represent?"} {"instruction": "A chat. In a small town, there are 3 barbers. The first barber has a clean haircut and a dirty shop. The second barber has a messy haircut and a clean shop. The third barber has a clean haircut and a clean shop. If you need a haircut, which barber should you go to?"} {"instruction": "A chat. A car depreciates in value by 15% each year. If the car's current value is $25,000, what will its value be in 5 years?"} {"instruction": "A chat. A snail climbs up a wall during the day but slips down at night. Each day it climbs 3 feet and each night it slips back 2 feet. How many days will it take for the snail to climb a 30-foot wall? Explain step-by-step."} {"instruction": "A chat. A jar contains only red, green, and blue marbles. The ratio of red to green to blue marbles is 3:4:7. If there are 56 blue marbles, how many marbles are there in total? Show your work."} {"instruction": "A chat. A man has a bag containing 10 red balls and 20 blue balls. He randomly takes out one ball at a time without looking and stops when he gets two balls of the same color. What is the probability that he stops after taking out exactly three balls?"} {"instruction": "A chat. In a small town, there are 4 barbers. Each barber only shaves those who do not shave themselves. Who shaves the barber that shaves the other three barbers?"} {"instruction": "A chat. In a group of people, there are twice as many women as men. If there are 45 people in total, how many men and women are there?"} {"instruction": "A chat. A square garden has an area of 256 square feet. If you want to build a fence around the entire garden, how many feet of fencing will you need?"} {"instruction": "A chat. If you invest $5,000 in a savings account with an annual interest rate of 3%, how much money will be in the account after 4 years? (Assume simple interest)"} {"instruction": "A chat. There are 120 passengers in a train. Among them, 50% are women, 40% are men, and the rest are children. How many more women are there than men?"} {"instruction": "A chat. In a classroom, there are 8 boys and 12 girls. What is the probability of randomly selecting a girl from the class?"} {"instruction": "A chat. If you read at a speed of 300 words per minute, how long will it take you to read a book with 90,000 words?"} {"instruction": "A chat. Determine the derivative of the function f(x) = 3x^2 - 4x + 1 with respect to x, using calculus techniques.\n"} {"instruction": "A chat. Sarah can paint a house in 5 days. Tom can do it in 10 days. How long will it take them to paint the house together?"} {"instruction": "A chat. Prove that if a function is continuous on a closed interval [a,b], it must attain both its maximum and minimum values within that interval."} {"instruction": "A chat. A bakery is planning to expand its operations by opening a new production facility. The company currently produces 10,000 loaves of bread per day at its existing facility, which operates at 80% capacity. The new facility will have twice the production capacity of the current one. Calculate the maximum number of loaves that can be produced daily once the new facility is operational. Also, estimate the time it would take for the company to recoup its $1 million investment in the new facility, given an average profit margin of $0.50 per loaf.\n"} {"instruction": "A chat. If a circle has an area of 50 square inches, what is its circumference?"} {"instruction": "A chat. A farmer has a rectangular field that is 300 meters long and 200 meters wide. He wants to plant corn in one half of the field and wheat in the other half. If he plants corn at a density of 4 plants per square meter and wheat at a density of 6 plants per square meter, how many plants will he have in total?"} {"instruction": "A chat. There are 50 students in a class. If 40% of them wear glasses, how many students do not wear glasses? Show your reasoning."} {"instruction": "A chat. A train travels between two cities that are 240 miles apart. The train takes 3 hours to travel from City A to City B and 4 hours to travel back from City B to City A. What is the average speed of the train during the entire trip?"} {"instruction": "A chat. There are two boxes with apples and oranges. Box A contains 6 apples and 4 oranges, while Box B contains 5 apples and 7 oranges. You randomly pick a fruit from Box A and put it into Box B without looking at its type. Then you randomly pick a fruit from Box B. What is the probability that the fruit picked from Box B is an apple?"} {"instruction": "A chat. A snail starts climbing a 15-meter tree at a constant speed. It climbs 3 meters during the day but slides down 2 meters each night. How many days will it take for the snail to reach the top of the tree?"} {"instruction": "A chat. A group of friends decide to share the cost of a $50 gift for their teacher. If each friend contributes $5, how many friends are in the group? Show your steps."} {"instruction": "A chat. You have a deck of 52 playing cards, which includes 13 spades. If you draw four cards at random without replacement, what is the probability that exactly two of them will be spades?"} {"instruction": "A chat. In a room, there are 4 people who have green eyes and 5 people who have blue eyes. Everyone with green eyes is taller than everyone with blue eyes. If the tallest person in the room has brown eyes, how many people are shorter than the person with brown eyes?"} {"instruction": "A chat. A box contains 12 balls, some white and some black. If you pick two balls at random, the probability of getting one white ball and one black ball is 1/2. How many white balls are in the box?"} {"instruction": "A chat. How many minutes are there in one week?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 mph. On its way back from Town B to Town A, it travels at a speed of 90 mph. What is the average speed of the train during the entire round trip?"} {"instruction": "A chat. In a room, there are 5 people. Each person shakes hands with every other person exactly once. How many handshakes take place in total?"} {"instruction": "A chat. A factory produces 250 units of a product per hour. Due to increased demand, they decide to increase production by 20%. How many units will be produced per hour after the increase?"} {"instruction": "A chat. There are 120 passengers on a train. Half of the passengers are going to City A, a third of the passengers are going to City B, and the rest are going to City C. How many passengers are going to City C?"} {"instruction": "A chat. A palindrome is a number that reads the same forward and backward (e.g., 121 or 1331). How many four-digit palindromes exist?"} {"instruction": "A chat. A farmer wants to fence off a rectangular area for his sheep. He has 300 meters of fencing material and wants to maximize the enclosed area. What should be the dimensions of the rectangle?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour for the first half of its journey and then slows down to 40 miles per hour for the second half. What is the average speed of the train for the entire journey?"} {"instruction": "A chat. In a town, every man has a unique name. If you add \"son\" at the end of each man's name, you get the name of his son. For example, if a man's name is John, his son's name will be Johnson. Every man in the town has exactly one son. One day, all men gather in a hall for a meeting. What is the total number of people present in the hall?"} {"instruction": "A chat. There are 5 red balls and 3 blue balls in a bag. You take out one ball, note its color, and put it back in the bag. Then you repeat this process two more times. What is the probability that you draw a red ball exactly twice?"} {"instruction": "A chat. Determine the slope and y-intercept of the line represented by the equation 3x - 4y = 12. Explain your reasoning.\n"} {"instruction": "A chat. A construction company is building a new residential complex with 500 apartments. The complex will have three types of apartments: one-bedroom (600 sq ft), two-bedroom (900 sq ft), and three-bedroom (1,200 sq ft). The total area allocated for the apartments is 450,000 sq ft. Determine the optimal number of each type of apartment to maximize living space while maintaining an equal distribution of apartment types. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A man has 53 socks in his drawer. They are either red, blue, or white. In complete darkness, what is the minimum number of socks he must take out to guarantee a matching pair?"} {"instruction": "A chat. In a class, there are 20 students. Each student has a different number of pencils, and no two students have the same number of pencils. The student with the most pencils has 25 pencils. What is the minimum number of pencils that the student with the least pencils can have?"} {"instruction": "A chat. There are 100 people in a room. 70% of them are wearing glasses, 80% are wearing hats, and 60% are wearing both glasses and hats. How many people are wearing neither glasses nor hats?"} {"instruction": "A chat. In a class of 40 students, 70% scored above 80 in a test. How many students scored below or equal to 80?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the two towns is 120 miles. If the train takes 3 hours to complete the journey, what is its average speed?"} {"instruction": "A chat. In a village, there are 50 houses. Each house has either a red or blue door. If you see two consecutive houses with red doors, the next house will have a blue door. There are no more than three consecutive houses with blue doors. How many red and blue doors are in the village?"} {"instruction": "A chat. In a village, there are 10 houses. Each house has 5 rooms and each room has 2 windows. One day, the villagers decided to paint all the windows blue. However, after painting half of the windows, they realized that they didn't like the color and decided to stop. How many windows were left unpainted?"} {"instruction": "A chat. There are 6 friends sitting around a circular table. Alice is sitting next to Bob, who is sitting across from Carol. Dave is sitting two seats away from Eric, who is not sitting next to Frank. How many possible seating arrangements are there for these friends?"} {"instruction": "A chat. There are 100 people in a room. 50 of them are wearing glasses, and 30 of them are wearing hats. If 20 people are wearing both glasses and hats, how many people are wearing neither glasses nor hats?"} {"instruction": "A chat. If it takes 10 workers 5 days to build a wall, how long would it take 50 workers to build the same wall?"} {"instruction": "A chat. If a factory produces 150 units per day, but has to discard 5% of them due to defects, how many non-defective units are produced in a week (7 days)?"} {"instruction": "A chat. How many miles would you travel if you walked around the Earth's equator once?"} {"instruction": "A chat. A store sells apples at a price of $1.50 per pound. If a customer buys 4 pounds of apples, how much will they pay before tax?"} {"instruction": "A chat. You have a drawer containing 12 red socks and 16 blue socks. It's dark, and you can't see the colors. What is the minimum number of socks you need to pull out to guarantee you have at least one matching pair?"} {"instruction": "A chat. A store sells apples and oranges. The price of one apple is $0.50, and the price of one orange is $0.75. If a customer buys a total of 8 fruits for $4.50, how many apples did they buy?"} {"instruction": "A chat. If a car travels at an average speed of 60 miles per hour for 4 hours, how many kilometers has it traveled?"} {"instruction": "A chat. Develop a mathematical model to predict the spread of an infectious disease in a population, taking into account factors such as transmission rate, recovery rate, and immunity. Explain your assumptions and methodology.\n"} {"instruction": "A chat. A committee of 7 people is to be formed from a group of 12 individuals. Among these individuals, there are two married couples and three siblings. If no couple or sibling set can serve together on the committee, how many different committees can be formed? Explain your thought process."} {"instruction": "A chat. A train travels from Town A to Town B and then back to Town A. The distance between Town A and Town B is 120 miles. On its way to Town B, the train averages a speed of 60 mph. On its way back to Town A, it averages a speed of 40 mph. What is the average speed for the entire trip?"} {"instruction": "A chat. A train leaves from Station A at 9 AM traveling at 60 miles per hour towards Station B. Another train leaves from Station B at 10 AM traveling at 40 miles per hour towards Station A. The distance between Station A and Station B is 300 miles. At what time will the two trains meet?"} {"instruction": "A chat. A train travels from City A to City B in 6 hours. On its way back from City B to City A, it takes 4 hours due to a tailwind. If the distance between the two cities is 240 miles, what is the speed of the train in still air?"} {"instruction": "A chat. If a city has an average annual rainfall of 40 inches and its area is 100 square miles, how much water (in gallons) falls on the city each year?"} {"instruction": "A chat. In a room, there are 5 people who can speak English and 3 people who can speak French. Two of the people can speak both languages. How many people in total are in the room?"} {"instruction": "A chat. There are 5 red balls and 3 blue balls in a bag. You draw two balls from the bag without replacement. What is the probability that you will draw one red ball and one blue ball?"} {"instruction": "A chat. A train travels at an average speed of 45 km/h for the first half of its journey and then increases its speed to 60 km/h for the remaining half. If the total journey takes 5 hours, how long is the entire trip in kilometers?"} {"instruction": "A chat. In a forest, there are 5 trees for every square meter. How many trees are there in a hectare? Explain your thought process."} {"instruction": "A chat. In a small town, there are 4 barbers. Barber A is better than Barber B. Barber C is worse than Barber D. Barber B is better than Barber C. Who is the best barber in the town?"} {"instruction": "A chat. A company produces two types of widgets, A and B. The production cost for each type A widget is $20, while the production cost for each type B widget is $25. If the company wants to produce 200 widgets with a total production cost of $4500, how many of each type of widget should they produce?"} {"instruction": "A chat. In a family gathering, there are 15 people. Among them, there are 4 pairs of siblings and 3 pairs of cousins. Each pair of siblings has the same two parents, while each pair of cousins shares only one parent in common. How many unique parents are present at the gathering?"} {"instruction": "A chat. A theme park wants to add a new roller coaster to attract more visitors. The construction cost for the roller coaster is estimated at $20 million, and it has a maximum capacity of 2,000 riders per hour. The theme park charges $10 per ride on the roller coaster. Calculate the daily revenue generated by the roller coaster if it operates for 12 hours a day with an average occupancy rate of 75%. Additionally, estimate the time required for the theme park to recover its investment in the roller coaster, considering operational expenses such as electricity, maintenance, and staffing.\n"} {"instruction": "A chat. A cruise ship company wants to design a new luxury liner that can accommodate up to 5,000 passengers and 2,000 crew members. The ship will have various amenities, including swimming pools, theaters, restaurants, shops, and recreational facilities. Calculate the total area required for these amenities, as well as the amount of fresh water and food storage needed for a typical 7-day voyage. Also, consider the environmental impact of the ship's operation, including waste management, energy consumption, and emissions.\n"} {"instruction": "A chat. In a family of 6, there are 4 children and 2 parents. The father is older than the mother. The youngest child is younger than all the other siblings. The oldest sibling is not the tallest. Who is the second oldest person in the family?"} {"instruction": "A chat. A tree grows 2 inches every year. How tall will it be after 15 years if it was initially 10 inches tall? Provide step-by-step logic."} {"instruction": "A chat. In a village, there are 20 houses. Each house has either 1 or 2 floors. If there are a total of 30 floors in the village, how many houses have 2 floors?"} {"instruction": "A chat. A committee of 4 people needs to be formed from a group of 6 men and 5 women. What is the probability that the committee will have exactly 2 men and 2 women?"} {"instruction": "A chat. A company has 10 employees, each working 40 hours per week. If the company decides to hire 5 more employees and reduce everyone's workweek to 35 hours, what is the total number of hours worked by all employees combined?"} {"instruction": "A chat. A factory produces 1000 widgets per day. Of these, 95% are high-quality widgets, while the remaining 5% are low-quality widgets. If the factory increases its production by 50%, what percentage of the new daily production will be high-quality widgets?"} {"instruction": "A chat. In a certain city, 40% of the population uses public transportation. If there are 1,200,000 people in the city, how many do not use public transportation?"} {"instruction": "A chat. A farmer has 20 sheep and 4 dogs in his field. One day, a wolf comes and eats some of the sheep. Now there are only half as many sheep left as there were before. How many animals are in the field?"} {"instruction": "A chat. If a car consumes 1 gallon of gas for every 25 miles driven, how much gas will it consume for a 300-mile trip? Please show your work."} {"instruction": "A chat. An amusem*nt park is designing a new roller coaster with a maximum height of 150 feet and a track length of 4,000 feet. The ride must have at least three loops and two corkscrews, while maintaining a minimum speed of 45 mph throughout the entire ride. Determine the optimal layout for the roller coaster, considering factors such as G-forces, rider safety, and construction costs. Provide step-by-step reasoning for your design choices.\n"} {"instruction": "A chat. There are 8 boxes of different weights. You can only compare two boxes at a time using a balance scale. What is the minimum number of weighings required to find the heaviest box?"} {"instruction": "A chat. Evaluate the expression (9 / 3 * 2)^2 - 6 * (4 - 1)"} {"instruction": "A chat. Alice, Bob, and Carol are siblings. If Alice is older than Bob, and Carol is younger than Bob, who is the oldest sibling?"} {"instruction": "A chat. A company has a revenue of $1,000,000 and fixed costs of $200,000. The variable cost per unit produced is $50, and they produce 10,000 units. What is their total profit?"} {"instruction": "A chat. A company wants to purchase new laptops for all their employees. They currently have 120 employees and expect to hire an additional 50% more employees within the next year. Each laptop costs $800. How much money should they budget for laptops if they plan to buy them all at once?"} {"instruction": "A chat. Prove or disprove the existence of a formula for the nth prime number in terms of elementary functions."} {"instruction": "A chat. If a dog has 4 legs and a cat has 9 lives, how many wheels does a bicycle have?"} {"instruction": "A chat. A rectangle has a length of 10 meters and a width of 6 meters. What is the area of the largest square that can fit inside the rectangle?"} {"instruction": "A chat. There are 5 cats in a room. Each cat catches 3 mice. If each mouse weighs 20 grams, how much do all the mice weigh together?"} {"instruction": "A chat. In a village, there are 50 houses. Each house has either a red or blue door. If the first house has a red door and every third house after that also has a red door, how many houses have blue doors?"} {"instruction": "A chat. A factory produces two types of products, A and B. For every 5 units of product A produced, 3 units of product B are produced. If the factory produces a total of 80 units per day, how many units of product A are produced daily?"} {"instruction": "A chat. Solve: ((8 - 2 * 3) / 2)^2 - 5 ="} {"instruction": "A chat. How many times does Earth orbit the Sun in 1000 years?"} {"instruction": "A chat. Five friends go out for dinner and decide to split the bill evenly. The total cost of the meal is $150. However, one friend realizes they forgot their wallet and cannot pay. How much more does each of the remaining four friends have to pay to cover the missing share?"} {"instruction": "A chat. Four people need to cross a bridge at night. They have only one flashlight, and the bridge is too dangerous to cross without it. The bridge can only hold two people at a time. The four people all walk at different speeds: one takes 1 minute to cross, another takes 2 minutes, another takes 5 minutes, and the last takes 10 minutes. When two people cross together, they must go at the slower person's pace. What is the fastest time that all four people can get across the bridge?"} {"instruction": "A chat. If a bacteria population doubles every hour, how many bacteria will be present after 6 hours if the initial population is 50?"} {"instruction": "A chat. A farmer has 15 cows and 5 chickens. All but 8 of these animals die. How many animals are still alive?"} {"instruction": "A chat. A company offers two types of memberships: Basic and Premium. The Basic membership costs $30 per month, while the Premium membership costs $50 per month with an additional one-time fee of $100. After how many months will the total cost of both memberships be equal?"} {"instruction": "A chat. Solve the equation: 4x - 7 = 21."} {"instruction": "A chat. A rectangular garden has a length of 25 feet and a width of 12 feet. What is the area of the garden in square yards?"} {"instruction": "A chat. Determine the equilibrium price and quantity in a market with the following supply and demand functions:\n Qd = 100 - 2P\n Qs = 20 + 3P\n Provide step-by-step reasoning.\n"} {"instruction": "A chat. A fruit basket contains apples, oranges, and bananas. There are twice as many oranges as apples, and half as many bananas as oranges. If there are 10 apples in the basket, how many fruits are in the basket?"} {"instruction": "A chat. A hospital wants to upgrade its medical equipment in various departments. They have a budget of $10 million for this project. The radiology department needs $3 million, cardiology requires $4 million, and orthopedics needs $2 million. The remaining budget will be allocated to other departments. Calculate the percentage distribution of the budget among these departments and provide your reasoning.\n"} {"instruction": "A chat. A large supermarket chain wants to optimize its supply chain by reducing food waste and improving inventory management. They currently operate 200 stores nationwide, with an average of 50,000 products per store. On average, 3% of perishable goods are discarded due to spoilage or expiration. Calculate the total amount of wasted products and associated financial losses across all stores. Propose strategies to minimize waste and improve overall supply chain efficiency.\n"} {"instruction": "A chat. A store sells two types of pens: blue ink pens for $1.50 each and black ink pens for $2.00 each. If a customer buys a total of 10 pens and spends exactly $18.00, how many of each type of pen did they purchase?"} {"instruction": "A chat. Develop a mathematical model to predict the spread of a contagious disease within a population, taking into account factors such as transmission rates and recovery times.\n"} {"instruction": "A chat. A rectangular garden has a length of 25 meters and a width of 15 meters. If a gardener wants to plant flowers along the perimeter of the garden, with one flower every meter, how many flowers will they need?"} {"instruction": "A chat. A factory produces widgets in two sizes: small and large. The small widgets weigh 4 pounds each, while the large widgets weigh 7 pounds each. If a shipment contains a total of 30 widgets with a combined weight of 160 pounds, how many small widgets are in the shipment?"} {"instruction": "A chat. There are 12 apples in a basket. 8 of them are green, and the rest are red. If you randomly pick an apple from the basket without looking, what is the probability that it is red?"} {"instruction": "A chat. There are 50 apples in a basket. You take out 10 apples and then put back 5 apples. How many apples do you need to add to the basket to have a total of 60 apples?"} {"instruction": "A chat. In a town, there are 100 people. Among them, 40 people have cats, 30 people have dogs, and 10 people have both cats and dogs. How many people in the town do not have either a cat or a dog?"} {"instruction": "A chat. Five friends went to a restaurant and decided to split the bill equally. If the total bill was $125, how much did each friend pay? Show your work."} {"instruction": "A chat. A pizza place offers two sizes of pizzas: a small with a diameter of 10 inches and a large with a diameter of 16 inches. Compare the areas of both pizzas and determine which is the better deal if the small costs $8 and the large costs $14.\n"} {"instruction": "A chat. Find the area under the curve y = x^2 from x = 0 to x = 3 using Riemann sums or integration techniques. Show your work.\n"} {"instruction": "A chat. Find the derivative of the function f(x) = x^3 - 2x^2 + 4x - 7. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes 2 hours to travel from Town A to Town B. After a 1-hour stop in Town B, it takes another 3 hours to travel from Town B to Town C. What is the total distance between Town A and Town C?"} {"instruction": "A chat. A town's population doubles every 5 years. In 15 years, what will be the increase in the town's population relative to its current population? Show your work."} {"instruction": "A chat. In a class of 40 students, 12 study French, 17 study Spanish, and 5 study both languages. How many students in the class do not study either language? Explain your reasoning."} {"instruction": "A chat. A rectangular garden has a length of 30 meters and a width of 20 meters. If you want to increase the area of the garden by 50% while keeping its shape as a rectangle, what should be the new dimensions of the garden?"} {"instruction": "A chat. In a bag, there are 6 red balls, 4 blue balls, and 5 green balls. If you randomly pick one ball from the bag, then put it back and pick another, what is the probability that both balls will be the same color?"} {"instruction": "A chat. In a village, there are 100 houses. The first house has 1 door, the second house has 2 doors, the third house has 3 doors, and so on until the last house which has 100 doors. How many total doors are in the village?"} {"instruction": "A chat. If a tree grows 2 rings every year, how many rings will it have after 25 years? Explain your reasoning."} {"instruction": "A chat. An electronics company is launching a new smartphone model. They need to decide on the production quantity based on market demand, manufacturing capacity, and storage limitations. The company has a maximum production capacity of 200,000 units per month, but they also have limited warehouse space that can store only 150,000 units at any given time. Market research indicates a potential monthly demand of 180,000 units. Determine the optimal production plan, taking into account lead times for raw materials and component deliveries. Explain your reasoning.\n"} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Apples and Oranges.\" Each box is labeled incorrectly. You can only take out one fruit from one box to determine the correct labels for all three boxes. Which box should you choose a fruit from?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding 50 new buses over the next five years. Each bus can accommodate up to 60 passengers and will operate for 12 hours a day, with an average of 30 minutes per trip. The city expects a daily ridership increase of 5% each year due to population growth and increased demand for public transportation. Calculate the total number of trips that can be made by these new buses in the first year, as well as the expected daily ridership increase after five years. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a room, there are 10 people who have never met before. Each person shakes hands with every other person exactly once. How many handshakes occur?"} {"instruction": "A chat. A factory produces two types of products, A and B. The profit per unit for product A is $30, while the profit per unit for product B is $50. If the factory produces a total of 200 units and makes a total profit of $8,000, how many units of each product were produced?"} {"instruction": "A chat. A store sells 5 different types of cookies and 4 different types of milk. How many possible combinations of one cookie type and one milk type can a customer choose from?"} {"instruction": "A chat. A large hospital needs to purchase medical equipment for its newly constructed wing. The hospital requires 20 ventilators, 30 defibrillators, and 40 patient monitors. Ventilators cost $15,000 each, defibrillators cost $3,500 each, and patient monitors cost $2,000 each. Additionally, the hospital receives a bulk discount of 10% on the total cost if they purchase all the equipment from one supplier. Calculate the total cost after applying the discount and provide your reasoning.\n"} {"instruction": "A chat. An international shipping company is looking to optimize its container loading process at a major port. The company currently loads 500 containers per day, with an average weight of 25 tons per container. They have five cranes available, each capable of lifting 50 tons. To increase efficiency, they plan to invest in additional cranes, each costing $2 million. Their budget for crane acquisition is $8 million. Determine how many new cranes the company should purchase and calculate the potential increase in daily container throughput based on their investment.\n"} {"instruction": "A chat. There are 5 apples on a table. You take away 2 apples. How many apples do you have now?"} {"instruction": "A chat. A box contains 6 black socks and 4 white socks. If you pick two socks at random without looking, what is the probability that you get a matching pair?"} {"instruction": "A chat. There are 100 people in a room. Half of them have blue eyes, and the other half have green eyes. If one person with blue eyes leaves the room, what is the ratio of people with blue eyes to those with green eyes?"} {"instruction": "A chat. If it takes 8 workers 10 hours to build a wall, how long would it take 12 workers to build the same wall under similar conditions?"} {"instruction": "A chat. In a village, there are 10 houses in a row. The first house has a red door, and every third house after that also has a red door. The second house has a blue door, and every fourth house after that has a blue door. What color is the door of the last house?"} {"instruction": "A chat. How many seconds are there in a non-leap year?"} {"instruction": "A chat. ((3^2 * 4) / 2) - 5 * (6 - 4)^2 ="} {"instruction": "A chat. In a village, there are 100 houses. Each house has at least one cat. If the first house has one cat, the second house has two cats, the third house has three cats, and so on, until the last house which has 100 cats. How many cats are in the village if we know that every fifth house also has a dog?"} {"instruction": "A chat. Prove that the sum of the angles in any triangle always equals 180 degrees. Explain your reasoning.\n"} {"instruction": "A chat. A farmer has 120 acres of land. He plants corn on 40% of the land and soybeans on 30% of the remaining land. How many acres are left unplanted?"} {"instruction": "A chat. There are two boxes: Box A contains 5 red balls and 7 blue balls, while Box B contains 8 red balls and 6 blue balls. You randomly pick one ball from Box A and place it in Box B. Then, you randomly pick a ball from Box B. What is the probability that the ball picked from Box B is red?"} {"instruction": "A chat. In a standard deck of 52 playing cards, what is the probability of drawing three aces in a row without replacement?"} {"instruction": "A chat. There are 50 people in a room. Some people have blue eyes, some have green eyes, and the rest have brown eyes. If there are twice as many people with green eyes as there are with blue eyes, and 20 people have brown eyes, how many people have blue eyes?"} {"instruction": "A chat. There are 5 red balls and 3 blue balls in a bag. You randomly pick one ball, note its color, and put it back into the bag. Then you pick another ball. What is the probability that both balls picked were red?"} {"instruction": "A chat. A ladder leans against a wall at an angle of 60 degrees with the ground. If the base of the ladder is 4 feet away from the wall, how long is the ladder?"} {"instruction": "A chat. If you invest $10,000 in a savings account with an annual interest rate of 3%, compounded monthly, how much money will be in the account after 5 years?"} {"instruction": "A chat. A factory produces 500 units of product A every 8 hours. How many units of product A can the factory produce in 5 days if it operates 24 hours a day?"} {"instruction": "A chat. If a farmer has 50 meters of fencing and wants to create a rectangular enclosure for his sheep, what is the maximum area he can enclose?"} {"instruction": "A chat. Solve the following integral: \u222b(3x^2 - 2x + 1) dx, explaining each step in your calculation.\n"} {"instruction": "A chat. There are 24 hours in a day, and 60 minutes in an hour. How many seconds are there in a day? Provide step-by-step logic."} {"instruction": "A chat. Use Green's theorem to evaluate the line integral of F(x, y) around a closed curve C."} {"instruction": "A chat. I have two coins, one of which is fair and comes up heads with a probability 1/2, and the other which is biased and comes up heads with probability 3/4. I randomly pick coin and flip it twice, and get heads both times. What is the probability that I picked the fair coin? Show your calculations."} {"instruction": "A chat. Solve the following system of linear equations using the substitution method: y = 2x + 3 and y = -x + 7. Provide a step-by-step explanation.\n"} {"instruction": "A chat. You have a drawer with 5 red socks, 4 blue socks, and 6 green socks. It's dark in the room, and you can't see the colors. What is the minimum number of socks you need to pull out to guarantee that you have at least one matching pair?"} {"instruction": "A chat. There are 120 students in a school. If 45% of the students are girls, how many boys are there? Show your work."} {"instruction": "A chat. A bee lands on a flower every 10 seconds and collects nectar. How many flowers would a bee land on in 8 hours? Show your work."} {"instruction": "A chat. A rectangular garden has a length of 30 feet and a width of 20 feet. The owner wants to build a fence around the garden with a gate that is 4 feet wide. What is the total length of the fence needed, excluding the gate?"} {"instruction": "A chat. If you drive at an average speed of 60 miles per hour and need to travel a distance of 450 miles, how many minutes will the trip take?"} {"instruction": "A chat. A cruise ship company offers various packages for vacationers. One package includes a 7-day trip with stops at three different ports. The ship has a maximum capacity of 4,000 passengers and operates at 90% occupancy on average. Each port charges docking fees based on the number of passengers disembarking. Port A charges $10 per passenger, Port B charges $12 per passenger, and Port C charges $8 per passenger. Calculate the total docking fees for one round-trip voyage, assuming all passengers disembark at each port.\n"} {"instruction": "A chat. If a car factory produces 15 cars every hour, how many cars will it produce in a year? Show your work."} {"instruction": "A chat. If a spider spins a web that uses 20 meters of silk, how many webs can it spin from a supply of 400 meters of silk? Show your steps."} {"instruction": "A chat. If a bacteria population doubles every hour, how many times larger will the population be after 8 hours compared to its initial size?"} {"instruction": "A chat. Solve the expression (3^2 * 4) / (2 * 6 - 4)."} {"instruction": "A chat. A box contains 12 black socks and 8 white socks. If you pick two socks at random without looking, what is the probability that both socks will be black?"} {"instruction": "A chat. A rectangular garden has a length of 40 feet and a width of 25 feet. If the owner wants to expand the garden by increasing its length by 50% and its width by 20%, what will be the new area of the garden?"} {"instruction": "A chat. A book has 450 pages. You read 25 pages per day. Every fifth day, you read twice as much. How long will it take to finish the book? Walk me through your solution."} {"instruction": "A chat. In a small village, there are 10 houses. Each house has a different color door. There are 3 red doors, 2 blue doors, and the rest are green doors. If you randomly pick a house to visit, what is the probability that it will have a green door?"} {"instruction": "A chat. A jar contains 8 red marbles, 12 blue marbles, and 20 green marbles. What is the probability of drawing a red marble followed by a blue marble without replacement?"} {"instruction": "A chat. A sequence is defined by the recursive formula a_n = 2a_(n-1) + 3 for n \u2265 2, with a_1 = 5. What is the value of a_5?"} {"instruction": "A chat. If you walk at an average speed of 3 miles per hour, how long will it take you to walk 9 miles?"} {"instruction": "A chat. A box contains 12 marbles, all either black or white. If you randomly pick two marbles at once without looking, there is a 50% chance they will both be black. How many black marbles are in the box?"} {"instruction": "A chat. If a human body has approximately 5 liters of blood and each heartbeat pumps about 70 milliliters of blood, how many heartbeats would it take to pump all the blood in the body once? Explain your reasoning."} {"instruction": "A chat. A store offers a discount on a product that originally costs $200. If the discount is 15%, how much will you save and what will be the final price of the product?"} {"instruction": "A chat. A committee of 7 people needs to be formed from a group of 12 men and 9 women. How many different committees can be formed if there must be at least 3 women on the committee?"} {"instruction": "A chat. In a village, there are 20 houses. Every house has a dog, and every dog has 4 legs. One day, a flood occurs, and all the dogs climb onto the roofs of their respective houses to avoid drowning. How many legs are touching the ground in the village?"} {"instruction": "A chat. In a class of 30 students, 15 students play football, 17 students play basketball, and 10 students play both games. How many students don't play either game? Include your logic."} {"instruction": "A chat. An online retailer is analyzing its shipping strategy to optimize delivery times and minimize costs. Currently, they have three warehouses located in different regions of the country. Each warehouse has a fixed monthly operating cost of $50,000 and variable shipping costs depending on the distance to the customer. Determine the optimal number of warehouses and their locations to minimize overall costs while maintaining an average delivery time of 2 days or less. Consider factors such as population density, regional demand, and transportation infrastructure.\n"} {"instruction": "A chat. A store sells three types of fruits: apples, oranges, and bananas. The ratio of apples to oranges is 3:2, and the ratio of oranges to bananas is 5:4. If there are 120 oranges, how many apples and bananas are there in total?"} {"instruction": "A chat. A train travels at a constant speed from Town A to Town B, which is 120 miles away. The train takes 2 hours to reach Town B. How long would it take for the same train to travel 60 miles at the same constant speed?"} {"instruction": "A chat. If a car rental company has 12 cars available for rent and each car can be rented for either one day, three days, or seven days, how many different ways can all the cars be rented out?"} {"instruction": "A chat. A group of friends went to a restaurant for dinner. They ordered 5 pizzas, 6 burgers, and 7 sandwiches. The cost of each pizza is $10, each burger costs $5, and each sandwich costs $3. If they split the bill equally among themselves, how much does each person pay if there are 8 people in the group?"} {"instruction": "A chat. If a farmer has 4 different types of crops and wants to plant them in 12 separate plots, how many different arrangements can he make?"} {"instruction": "A chat. Three boxes contain apples, oranges, and a mix of both fruits. All the boxes are labeled incorrectly. You can only pick one fruit from one box. How do you correctly label all the boxes?"} {"instruction": "A chat. A right triangle has legs of length 7 and 24. What is the length of its hypotenuse?"} {"instruction": "A chat. In a class of 40 students, there are 8 more girls than boys. How many boys are there in the class?"} {"instruction": "A chat. If a company has 120 employees and decides to increase its workforce by 15%, how many new employees will be hired, and what will the total number of employees be after the hiring?"} {"instruction": "A chat. A group of friends is playing a game where they take turns saying numbers from 1 to 10. The first person says \"1,\" the second person says \"2,\" and so on. When someone reaches \"10,\" the next person starts again at \"1.\" If there are 8 people in the group and they go through this process 3 times, what number will the last person say?"} {"instruction": "A chat. In a bag, there are 10 red balls, 15 blue balls, and 20 green balls. If you randomly pick one ball from the bag, what is the probability of picking a red or a blue ball?"} {"instruction": "A chat. A store sells apples for $1 each and oranges for $2 each. If a customer buys 10 fruits in total and spends exactly $15, how many apples did they buy?"} {"instruction": "A chat. A train travels at 60 miles per hour for 2 hours, then stops for 1 hour, and finally continues traveling at 40 miles per hour for another 3 hours. How far did the train travel?"} {"instruction": "A chat. A man has two children. At least one of them is a boy. What is the probability that both children are boys?"} {"instruction": "A chat. In a city of 500,000 residents, 75% own a car. Of those who own a car, 20% also own a bicycle. How many residents own both a car and a bicycle? Explain your thought process."} {"instruction": "A chat. Jane read 30 pages of a book on Monday and twice as many pages on Tuesday than she did on Monday. On Wednesday, she read half as many pages as she did on Tuesday. How many pages did Jane read in total? Show your working."} {"instruction": "A chat. In a family of 6 people, there are 4 children and 2 parents. The father is twice as old as the mother. If the total age of all family members is 120 years, how old is the mother?"} {"instruction": "A chat. A factory produces widgets at a cost of $5 per widget. If they sell each widget for $12, how many widgets do they need to sell to make a profit of $3,500?"} {"instruction": "A chat. A baker uses 3 cups of flour to make one loaf of bread. If the baker makes 15 loaves of bread every day, how many pounds of flour does he use in a week? (Assume 1 cup of flour weighs 0.5 pounds)"} {"instruction": "A chat. Show that the set of all continuous functions on the interval [0, 1] is uncountable."} {"instruction": "A chat. If a train travels at a speed of 60 miles per hour for 30 minutes, how far does it travel?"} {"instruction": "A chat. In a family of 5 children, each child has at least one sibling with the same birthday month as themselves. What is the minimum number of months in which these birthdays can occur?"} {"instruction": "A chat. A train travels from Town A to Town B at 60 mph. It takes the same train 3 hours to travel back from Town B to Town A at 90 mph. How far apart are the two towns?"} {"instruction": "A chat. Solve the following system of linear equations: \n x + y = 5\n 2x - y = 1\n Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a small town, there are 3 barbers. The first barber has the best haircut in town, the second barber has an average haircut, and the third barber has the worst haircut. If you were to visit this town and needed a haircut, which barber should you go to?"} {"instruction": "A chat. In a class of 30 students, 15 are studying physics, 20 are studying chemistry, and 10 are studying both physics and chemistry. How many students are not studying either subject? Provide step-by-step logic."} {"instruction": "A chat. A farmer has chickens and rabbits on his farm. There are a total of 40 heads and 112 legs. How many chickens and how many rabbits does he have?"} {"instruction": "A chat. If a factory produces 250 units per day and operates 5 days a week, how many units does it produce in a year, assuming there are no holidays or shutdowns?"} {"instruction": "A chat. A train travels at an average speed of 80 km/h for the first half of its journey and then at an average speed of 100 km/h for the second half. The entire journey takes 9 hours. What is the total distance covered by the train during this journey?"} {"instruction": "A chat. A shipping company is planning to expand its fleet of cargo ships to accommodate increased demand for international trade. They currently operate 20 ships with an average capacity of 10,000 tons each. To meet their growth targets, they need to increase total capacity by 30% within the next five years. Calculate the number of new ships required, taking into account factors such as ship size, fuel efficiency, and crew requirements. Also, estimate the additional operating costs associated with the expanded fleet, including maintenance, port fees, and insurance.\n"} {"instruction": "A chat. If it takes 8 workers 6 hours to build a wall, how long would it take for 16 workers to build the same wall?"} {"instruction": "A chat. A company has 20 employees, with an average salary of $60,000 per year. If one employee is promoted and receives a raise of $10,000, what will be the new average salary for all employees?"} {"instruction": "A chat. In a small town, there are 5 barbers. Each barber shaves all the men in town who do not shave themselves. Who shaves the barbers?"} {"instruction": "A chat. A farmer has a rectangular field with dimensions of 120 meters by 80 meters. He wants to divide the field into equal square plots using fences. What is the largest possible size for each square plot?"} {"instruction": "A chat. If a cylindrical container has a radius of 5 cm and a height of 20 cm, what is its volume?"} {"instruction": "A chat. A library has 6 shelves. Each shelf holds 30 books. Every month, the library adds 15 more books. After 4 months, how many books will the library have? Explain your thought process."} {"instruction": "A chat. Evaluate the expression ((3^2 - 4) * 6) / (12 / 4)"} {"instruction": "A chat. How long does it take for light from the Sun to reach Mars at its closest approach?"} {"instruction": "A chat. A store sells two types of toys \u2013 cars and dolls. Each car costs $15, and each doll costs $10. If a customer buys a total of 20 toys and spends exactly $250, how many cars and dolls did they buy?"} {"instruction": "A chat. If you flip a fair coin 10 times, what is the probability of getting exactly 6 heads?"} {"instruction": "A chat. In a school, there are 4 classes with 25 students each. Every student has 5 pencils. How many pencils are there in total? Explain your thought process."} {"instruction": "A chat. A sequence follows the rule that each term is twice the previous term minus 5. If the first term is 10, what is the sixth term?"} {"instruction": "A chat. How many times does Earth rotate around its axis in the time it takes to orbit the Sun once?"} {"instruction": "A chat. There are three light switches outside a room. One of them controls a light bulb inside the room. You may flip any switch as many times as you want, but once you enter the room, you cannot change the switches again. How can you determine which switch controls the light bulb?"} {"instruction": "A chat. There are 10 red balls and 20 blue balls in a box. If you randomly pick one ball from the box, then put it back and randomly pick another ball, what is the probability that both balls are blue?"} {"instruction": "A chat. Tom is taller than Peter. Peter is shorter than Lucy. Is Tom taller than Lucy?"} {"instruction": "A chat. It takes 2 hours for a team of 4 people to paint a room. How long will it take for a team of 8 people to paint an identical room?"} {"instruction": "A chat. If a plane flies at an average speed of 550 mph and needs to travel a distance of 2200 miles, how long will the flight take in hours and minutes?"} {"instruction": "A chat. A hotel chain wants to build a new resort on a tropical island. The resort will have 200 rooms, each costing $250,000 to construct. Additional facilities include a restaurant, spa, swimming pool, and conference center, with construction costs of $1 million, $500,000, $750,000, and $2 million, respectively. Calculate the total construction cost and estimate the time required to recoup this investment, given an average room rate of $300 per night, an occupancy rate of 75%, and additional revenue from other facilities amounting to 25% of total income.\n"} {"instruction": "A chat. If a car factory produces 120 cars per day and operates for 250 days in a year, how many cars will it produce in 3 years if it increases its production by 10% each year?"} {"instruction": "A chat. Solve the equation: 3x - 7 = 2(x + 4)"} {"instruction": "A chat. You have 9 balls, equally big, equally heavy - except for one, which is a little heavier. How would you identify the heavier ball if you could use a balance scale only twice? Explain your reasoning."} {"instruction": "A chat. In a group of 40 people, 25 like coffee, 15 like tea, and 5 like both coffee and tea. How many people like neither coffee nor tea?"} {"instruction": "A chat. A group of people consists of 12 men and 8 women. If a committee of 5 people is to be formed from this group, how many different committees can be created that include at least one woman?"} {"instruction": "A chat. A standard deck of playing cards contains 52 cards, divided into four suits (hearts, diamonds, clubs, and spades), with 13 cards per suit. If you draw one card at random from the deck, what is the probability that it will be a face card (jack, queen, or king)?"} {"instruction": "A chat. If a committee of 5 people is to be formed from a group of 9 men and 6 women, how many different committees can be formed if at least 2 women must be on the committee?"} {"instruction": "A chat. A city is planning to build a new sports complex that includes multiple facilities for various sports, such as soccer, basketball, and swimming. The city has a budget of $50 million for the project and wants to maximize the number of facilities while maintaining high-quality standards. Calculate the optimal combination of facilities based on construction costs, maintenance expenses, and expected usage by local residents. Explain your reasoning in steps.\n"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding electric buses to the existing fleet. The city currently has 100 diesel buses, and they want to replace 50% of them with electric buses over the next five years. Each electric bus costs $500,000, and the city has an annual budget of $5 million for this project. Calculate how many electric buses can be purchased each year within the budget constraints, considering a 3% annual inflation rate on the cost of electric buses.\n"} {"instruction": "A chat. If you invest $5,000 at an annual interest rate of 4%, compounded quarterly, how much will your investment be worth after 3 years?"} {"instruction": "A chat. A factory produces 1500 widgets every day for 6 days a week. If there are 4 weeks in a month, how many widgets does the factory produce in a year?"} {"instruction": "A chat. A spider spins a web at a rate of 3 meters per hour. How long will it take for the spider to spin a web that is 18 meters long? Explain your steps."} {"instruction": "A chat. A company has 5 managers and 15 employees. In how many ways can a committee of 6 people be formed if it must include at least 2 managers?"} {"instruction": "A chat. Solve the following differential equation: dy/dx = 3y + 2x. Explain your method and show your work.\n"} {"instruction": "A chat. A store sells apples for $2.50 per pound and oranges for $3.00 per pound. How much would it cost to buy 4 pounds of apples and 6 pounds of oranges?"} {"instruction": "A chat. In a class of 25 students, 12 are boys and 13 are girls. What is the ratio of boys to girls in the class?"} {"instruction": "A chat. Evaluate the integral of the function f(x) = x^2 from x = 0 to x = 3. Show your work.\n"} {"instruction": "A chat. In a school, there are 5 classes with 30 students each, and 3 classes with 25 students each. What is the average number of students per class?"} {"instruction": "A chat. A hospital wants to upgrade its emergency department by adding more beds and improving patient flow. Currently, there are 20 beds available, with an average occupancy rate of 80%. To reduce waiting times, the hospital plans to increase bed capacity by 50%, while maintaining an occupancy rate of no more than 70%. Calculate the required number of additional beds and the associated costs, assuming each bed costs $10,000 to install and maintain annually.\n"} {"instruction": "A chat. Evaluate the determinant of the matrix [[2, 3], [4, 5]]"} {"instruction": "A chat. A box contains 20 apples and 15 oranges. If you randomly pick a fruit from the box, eat it, and then pick another fruit, what is the probability that both fruits are apples? Show your steps."} {"instruction": "A chat. A father has four children. He gives half of his money to his oldest child, one-third to his second child, and one-ninth to his third child. He then gives the rest of his money to his youngest child. How much did the youngest child receive if the father had $54,000 initially?"} {"instruction": "A chat. A hotel chain wants to optimize its pricing strategy to maximize revenue during peak travel seasons. They currently operate 100 hotels across the country, with an average occupancy rate of 75% during peak season. Each hotel has 200 rooms, with varying rates depending on room type and location. Analyze historical booking data, competitor pricing, and market trends to develop a dynamic pricing model that adjusts room rates based on demand, availability, and customer segmentation, providing step-by-step reasoning."} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding electric buses to its fleet. The city has a budget of $5 million for this project. Each electric bus costs $250,000 and has a range of 200 miles on a single charge. The city also needs to account for charging infrastructure costs, which are estimated at $1 million. Determine the maximum number of electric buses the city can purchase within its budget and estimate the total daily mileage capacity of the new fleet. Provide a step-by-step explanation."} {"instruction": "A chat. If a factory produces 250 units of a product every day and operates for 25 days in a month, how many units does it produce in a year?"} {"instruction": "A chat. In a group of 30 people, there are 15 men and 15 women. Each man has exactly 3 female friends in the group, while each woman has exactly 2 male friends in the group. How many friendships exist between the men and women? Provide step-by-step logic."} {"instruction": "A chat. A farmer has 20 cows and 8 chickens. All animals lay eggs except for the cows. How many eggs does the farmer collect each day?"} {"instruction": "A chat. A gardener can plant 10 flowers in an hour. How long will it take to plant 100 flowers?"} {"instruction": "A chat. An airline company is analyzing its flight schedules to maximize profits. They have data on ticket sales, flight durations, and fuel consumption for each route. The company operates a fleet of 100 airplanes, with varying capacities ranging from 150 to 350 passengers. The goal is to determine the optimal allocation of airplanes to different routes, taking into account factors such as demand, operating costs, and turnaround times. Describe the steps required to perform this analysis and identify any additional variables that may need to be considered.\n"} {"instruction": "A chat. A large hotel chain is analyzing the feasibility of implementing a loyalty program for its customers. They have 500 hotels worldwide, with an average of 200 rooms per hotel. The average room rate is $150 per night, and the average occupancy rate is 75%. To incentivize repeat bookings, they plan to offer a free night stay for every ten nights booked through the loyalty program. Determine the potential revenue impact of this program, considering that 20% of customers are expected to participate.\n"} {"instruction": "A chat. If a person drinks 2 liters of water a day, how much water would they drink in a month? Show your work."} {"instruction": "A chat. If every person in a village has exactly 5 friends within the village, how many friendships exist in total among the villagers?"} {"instruction": "A chat. A pharmaceutical company is planning to build a new research facility to accommodate its growing workforce. The company currently employs 1,000 researchers and expects to hire an additional 500 over the next five years. Each researcher requires 150 square feet of lab space and 50 square feet of office space. Calculate the total square footage required for the new facility, considering common areas such as conference rooms, restrooms, and break rooms will occupy an additional 20% of the building's total area.\n"} {"instruction": "A chat. If it takes 6 workers 8 hours to complete a job, how long would it take 4 workers to complete the same job if they work at the same rate?"} {"instruction": "A chat. If a person saves 15% of their monthly income and spends the rest on living expenses, how much do they save in a year if their monthly income is $4,000?"} {"instruction": "A chat. A store sells two types of widgets, type X and type Y. The profit for each type X widget is $10, while the profit for each type Y widget is $15. If the store sells a total of 120 widgets and makes a total profit of $1600, how many of each type of widget were sold?"} {"instruction": "A chat. A hotel chain is analyzing its occupancy rates across multiple locations to determine where to invest in renovations or expansions. They have data on the average daily occupancy rate, room rates, and total number of rooms for each location. Calculate the annual revenue generated by each hotel and compare it to the potential revenue if all rooms were occupied every day. Based on this analysis, recommend which hotels should be prioritized for investment. Explain your reasoning.\n"} {"instruction": "A chat. If a car travels at an average speed of 60 miles per hour for 8 hours, how many kilometers has it traveled?"} {"instruction": "A chat. A cruise ship company is planning its itinerary for the upcoming season. The company has three ships with capacities of 1,500, 2,000, and 3,000 passengers. They want to offer cruises to five different destinations, each with varying port fees, travel distances, and expected ticket sales. Calculate the optimal combination of ships and destinations to maximize profits while minimizing operational costs. Explain your reasoning in steps.\n"} {"instruction": "A chat. A farmer has both chickens and rabbits on his farm. He counted a total of 60 heads and 174 legs. How many chickens and how many rabbits does he have?"} {"instruction": "A chat. A bee visits 20 flowers in a minute. How many flowers does it visit in a day if it works non-stop? Show your work."} {"instruction": "A chat. A group of people are planning a trip and need to rent cars. Each car can hold up to 5 passengers. If there are 37 people in the group, how many cars do they need to rent?"} {"instruction": "A chat. A train travels between two cities at an average speed of 60 mph. On its return trip, it travels at an average speed of 40 mph due to bad weather. What is the train's average speed for the entire round trip?"} {"instruction": "A chat. In a small town, there are 4 barbers. Each barber has a different number of customers per day. Barber A has twice as many customers as Barber B. Barber C has three times more customers than Barber D. If the total number of customers for all four barbers is 84 per day, how many customers does each barber have?"} {"instruction": "A chat. A company has 20 employees. The average salary of the first 10 employees is $40,000 per year, and the average salary of the remaining 10 employees is $60,000 per year. What is the total annual salary expense for the company?"} {"instruction": "A chat. A farmer has 100 meters of fencing material and wants to create a rectangular enclosure for his sheep. What are the dimensions of the rectangle that will maximize the enclosed area?"} {"instruction": "A chat. A store offers a discount on a product such that the price decreases by 10% each week. If the original price of the product is $100, what will be its price after 3 weeks?"} {"instruction": "A chat. There are 6 red balls and 4 blue balls in a box. If you randomly pick one ball from the box, then put it back and pick another ball, what is the probability of picking two red balls in a row?"} {"instruction": "A chat. A farmer has chickens and cows on his farm. He counts a total of 36 heads and 100 legs. How many chickens and how many cows does he have?"} {"instruction": "A chat. A farmer has 15 sheep and all but 8 die. How many are left?"} {"instruction": "A chat. A factory produces 1000 units of product A and 2000 units of product B per day. Each unit of product A requires 3 workers to produce, while each unit of product B requires 2 workers. How many workers does the factory need to operate at full capacity?"} {"instruction": "A chat. A store sells two types of products - Product A and Product B. The profit margin on Product A is 25%, while the profit margin on Product B is 40%. If the store sold 300 units of Product A at $20 each and 200 units of Product B at $30 each, what was the total profit made from these sales?"} {"instruction": "A chat. A group of friends wants to split the cost of a $60 gift equally among themselves. If each person contributes $12, how many friends are in the group?"} {"instruction": "A chat. A group of friends went out for dinner and decided to split the bill evenly. The total bill was $120, and each person paid $30. How many people were in the group?"} {"instruction": "A chat. A company's revenue (R) can be modeled by the equation R = 1000x - 50x^2, where x represents the number of units sold. Find the number of units that must be sold to maximize revenue, explaining your reasoning.\n"} {"instruction": "A chat. If you were to line up all the planets in our solar system end-to-end, what would be the approximate combined diameter?"} {"instruction": "A chat. In a family gathering, there are 20 people. Among them, there are 5 sets of twins. If each person shakes hands exactly once with every other person in the room, how many handshakes take place between non-twins?"} {"instruction": "A chat. If a car rental company has 250 cars and each car is rented out for an average of 15 days per month, how much revenue does the company generate in one year if they charge $50 per day per car?"} {"instruction": "A chat. If you roll a fair six-sided die twice, what is the probability that the sum of the numbers rolled will be equal to 8?"} {"instruction": "A chat. A factory produces 100 widgets per hour during an 8-hour workday. If the factory operates 6 days a week, how many widgets does it produce in a month (assume 4 weeks)?"} {"instruction": "A chat. Every second, 1024 bytes of data are transmitted from a server. How much data is transmitted in a year? Detail your solution."} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B every day. Each unit of product A requires 2 hours of labor, while each unit of product B requires 3 hours of labor. If the factory operates for 10 hours per day, how many workers does it employ?"} {"instruction": "A chat. A factory produces 2500 units of a product in 8 hours. If it operates at the same rate, how many units will it produce in 15 hours?"} {"instruction": "A chat. There are three houses in a row. The blue house is next to the red house, but not next to the green house. The green house is not at either end. Which house is at the leftmost position?"} {"instruction": "A chat. There are 5 houses in a row, each painted a different color. The green house is immediately to the left of the white house. The owner of the red house drinks coffee. The owner of the blue house has a cat. The person who lives in the yellow house smokes cigars. The owner of the green house drinks tea. The person living in the middle house drinks milk. Who owns the white house?"} {"instruction": "A chat. A factory produces 3 types of products - X, Y, and Z. The production ratio is 2:3:5 respectively. If the factory produces a total of 500 units per day, how many units of each product are produced daily?"} {"instruction": "A chat. A company produces widgets at a cost of $2 per widget and sells them for $5 each. The company has fixed costs of $1,000 per month. How many widgets must they sell each month to break even?"} {"instruction": "A chat. Tom can paint a fence in 6 hours, while Jerry can do it in 4 hours. If they work together, how long will it take them to paint the fence?"} {"instruction": "A chat. The price of a certain stock increased by 10% during the first week and then decreased by 5% during the second week. If the initial price of the stock was $50, what was its price at the end of the second week?"} {"instruction": "A chat. Calculate the area of a rectangle with a length of 12 meters and a width of 8 meters, explaining each step.\n"} {"instruction": "A chat. There is a pond with lily pads. Each day, the number of lily pads doubles. If it takes 30 days for the pond to be completely covered in lily pads, how many days would it take for the pond to be half-covered?"} {"instruction": "A chat. A pizza place sells pizzas with a diameter of 16 inches for $20 and pizzas with a diameter of 12 inches for $15. Which size has a better price per square inch?"} {"instruction": "A chat. A store sells apples for $1.50 per pound and oranges for $2.00 per pound. If a customer buys 4 pounds of apples and 3 pounds of oranges, how much change will they receive from a $20 bill?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed of 80 kilometers per hour. The distance between the two cities is 320 kilometers. How long will it take for the train to reach City B?"} {"instruction": "A chat. A large hotel chain plans to build a new resort with 300 rooms, multiple restaurants, and recreational facilities. The total cost of the project is estimated at $60 million. The breakdown of expenses includes: 40% for room construction, 30% for restaurant and kitchen facilities, 20% for recreational amenities, and 10% for landscaping and other miscellaneous costs. Calculate the individual budgets for each component of the resort and provide step-by-step reasoning.\n"} {"instruction": "A chat. A disease affects 1 in every 1000 people in a population. A test for the disease is 99% accurate. If a randomly selected person tests positive, what is the probability they actually have the disease? Explain your reasoning."} {"instruction": "A chat. There are 4 apples and 6 oranges on a table. If you randomly pick two fruits from the table, what is the probability that both fruits will be apples?"} {"instruction": "A chat. If a person saves 5% of their income every month, how much will they have saved after 2 years if their monthly income is $4,000?"} {"instruction": "A chat. A store sells shirts for $25 each and pants for $40 each. If a customer buys 3 shirts and 2 pairs of pants, how much will they pay if there's a 10% discount on the total purchase?"} {"instruction": "A chat. A train travels at an average speed of 80 kilometers per hour. How long does it take to travel 480 kilometers?"} {"instruction": "A chat. If you draw two cards from a standard deck of 52 playing cards without replacement, what is the probability that both cards are aces?"} {"instruction": "A chat. John reads 2 books a month. His sister Mary reads twice as many books as John does in a year. How many books does Mary read in a year? Show your work."} {"instruction": "A chat. A car travels 50 miles at a speed of 25 miles per hour. Then, it speeds up and travels another 50 miles at a speed of 50 miles per hour. What is the average speed of the entire trip?"} {"instruction": "A chat. There are 100 employees in a company, consisting of 60 men and 40 women. The company decides to select a team of 5 employees, containing at least 1 man and 1 woman. How many different teams can be formed? Include your logic."} {"instruction": "A chat. How many different ways can you arrange the letters in the word \"MATHEMATICS\"?"} {"instruction": "A chat. A factory produces 1000 units of product X per day. The factory operates for 5 days a week and takes a break on weekends. If each unit of product X is sold for $10, how much revenue does the factory generate in 4 weeks?"} {"instruction": "A chat. If a basketball player makes 70% of his free throws and takes 15 free throws in a game, what is the probability he will make exactly 10 of them?"} {"instruction": "A chat. A rectangular garden has a length of 30 feet and a width of 20 feet. What is the area of the garden in square feet?"} {"instruction": "A chat. A water tank has a capacity of 8000 liters. If it is filled at a rate of 20 liters per minute, how long will it take to fill the tank completely?"} {"instruction": "A chat. A baker bakes 10 loaves of bread every hour for 8 hours each day. How many loaves of bread does he bake in a week? Explain your reasoning."} {"instruction": "A chat. A train leaves Station A at 2:00 PM and arrives at Station B at 6:00 PM. Another train leaves Station B at 3:00 PM and arrives at Station A at 7:00 PM. If both trains travel at constant speeds, do they meet each other at the same time?"} {"instruction": "A chat. You walk into a room with a match, a kerosene lamp, a candle, and a fireplace. Which one should you light first?"} {"instruction": "A chat. There are 50 people in a room. 70% of them are women. Of these women, 60% are wearing glasses. How many women are wearing glasses? Include your logic."} {"instruction": "A chat. If you were to stack pennies on top of each other, how tall would a stack of 10,000 pennies be?"} {"instruction": "A chat. A publishing company is analyzing its book sales data to optimize pricing and production strategies. The company sells hardcover books at $25 each and paperback books at $15 each. The production costs are $10 for hardcovers and $5 for paperbacks. The company has a monthly sales volume of 100,000 books, with a 60-40 split between hardcovers and paperbacks. Calculate the current profit margin for each type of book and determine the optimal price change needed to increase overall profits by 10% without affecting sales volume.\n"} {"instruction": "A chat. A car travels 180 miles on 6 gallons of gas. What is its fuel efficiency in miles per gallon?"} {"instruction": "A chat. An office building has 18 floors. Each floor has 12 rooms, and each room has 4 windows. How many windows are there in the entire building? Show your steps."} {"instruction": "A chat. There are four books on a shelf. Two of them are novels and two of them are textbooks. If you pick a book at random, what is the probability that it is a novel? Show your reasoning."} {"instruction": "A chat. A company sells widgets for $20 each and has fixed costs of $10,000 per month. If their variable cost per widget is $8, how many widgets do they need to sell in order to break even?"} {"instruction": "A chat. A company has a total of 100 employees, consisting of managers and workers. Each manager earns $5000 per month, while each worker earns $3000 per month. The total monthly salary paid by the company is $380,000. How many managers and workers are there?"} {"instruction": "A chat. Prove or disprove that there are infinitely many prime numbers.\n"} {"instruction": "A chat. A basket contains 5 apples. Do you know how to divide them among 5 kids so that each one has an apple and one apple stays in the basket?"} {"instruction": "A chat. If a person drinks 8 glasses of water each day, how many liters of water do they consume in a week, given that one glass contains 250 milliliters of water?"} {"instruction": "A chat. A store sells two types of candies. The first type costs $2 per piece and the second type costs $3 per piece. If a customer buys 10 pieces of the first type and 15 pieces of the second type, how much will they spend on candies?"} {"instruction": "A chat. If the Earth orbits the Sun once every 365.25 days, how many times does it orbit in a millennium (1000 years)? Explain your thought process."} {"instruction": "A chat. If there are approximately 7.9 billion people in the world and each person breathes an average of 16 times per minute, how many total breaths are taken worldwide every hour?"} {"instruction": "A chat. A rectangular garden has a length of 30 feet and a width of 20 feet. The owner wants to build a walkway around the entire garden that is 3 feet wide. What will be the area of the walkway in square feet?"} {"instruction": "A chat. A rectangular garden has a length of 30 meters and a width of 20 meters. If a gardener wants to plant flowers along the entire perimeter of the garden with one flower every meter, how many flowers will they need?"} {"instruction": "A chat. There are 5 apples and 7 oranges in a basket. John takes 2 apples and 3 oranges from the basket. How many fruits does he need to put back into the basket so that there are an equal number of apples and oranges?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding electric buses to its fleet. The city currently has 200 diesel buses, each with a seating capacity of 50 passengers. They want to replace half of the diesel buses with electric ones over the next 5 years. Each electric bus costs $300,000 and has a range of 150 miles per charge. Calculate the total cost of this transition, as well as the number of charging stations required if each station can charge two buses simultaneously and it takes 3 hours for a full charge. Also, estimate the impact on passenger capacity during the transition period.\n"} {"instruction": "A chat. A train travels between City A and City B. It takes 5 hours to travel from City A to City B and 7 hours to return from City B to City A. If the train spends 1 hour at each city before starting its journey again, how long does it take for the train to complete 3 round trips?"} {"instruction": "A chat. There are 100 people in a room. 90% of them wear glasses, and 75% of them wear hats. What is the minimum number of people who wear both glasses and hats?"} {"instruction": "A chat. In a group of friends, some are mathematicians, some are engineers, and some are doctors. We know that every mathematician has at least two engineer friends and at least three doctor friends. Every engineer has at least one mathematician friend and at least two doctor friends. If there are no friendships between doctors, can an engineer be friends with more than four people? Explain your reasoning."} {"instruction": "A chat. A cruise ship company is analyzing its passenger data to optimize cabin allocation and pricing. The ship has a capacity of 3000 passengers, distributed among three types of cabins: economy (60%), premium (30%), and luxury (10%). The average occupancy rates for these cabins are 80%, 90%, and 95%, respectively. Determine the optimal cabin distribution to maximize revenue, assuming the ticket prices for economy, premium, and luxury cabins are $500, $1000, and $2000, respectively.\n"} {"instruction": "A chat. A factory produces 500 units of product A every day and 300 units of product B. If the factory operates for 25 days in a month, how many total units are produced in that month?"} {"instruction": "A chat. A city is planning to build a new public park that will cover an area of 10 acres. The park will include walking paths, picnic areas, playgrounds, and sports fields. Calculate the total cost of building the park, considering the following factors: land acquisition costs ($50,000 per acre), construction costs for each facility (walking paths - $10,000 per mile, picnic areas - $5,000 each, playgrounds - $20,000 each, sports fields - $100,000 each), and landscaping costs ($2,000 per acre). Also, estimate the annual maintenance cost based on a 3% increase in overall costs each year.\n"} {"instruction": "A chat. A company has an annual revenue of $500,000. Its expenses consist of salaries ($300,000), rent ($50,000), utilities ($20,000), and marketing ($80,000). What is the company's profit margin as a percentage?"} {"instruction": "A chat. In how many ways can you arrange the letters of the word \"MATHEMATICS\" such that all vowels appear together?"} {"instruction": "A chat. It takes 15 minutes to wash a car by hand. How long will it take to wash 6 cars?"} {"instruction": "A chat. A box contains red balls and blue balls. If there are 5 more red balls than blue balls, and there are a total of 23 balls in the box, how many blue balls are there?"} {"instruction": "A chat. It takes 2 hours to clean a house with two people working together. How long will it take to clean four houses?"} {"instruction": "A chat. A train leaves Station A at 8 am traveling at 60 mph towards Station B. Another train leaves Station B at 9 am traveling at 80 mph towards Station A. The distance between the stations is 480 miles. At what time do the trains meet?"} {"instruction": "A chat. If a car travels at a constant speed of 60 miles per hour and takes 2.5 hours to reach its destination, how far is the destination from the starting point?"} {"instruction": "A chat. Derive the Black-Scholes formula for option pricing, explaining each step.\n"} {"instruction": "A chat. A tree grows 2 inches taller each year. How tall will the tree be after 50 years if it was initially 10 feet tall? Provide step-by-step logic."} {"instruction": "A chat. A rectangular room measures 12 feet in length, 10 feet in width, and 8 feet in height. What is the volume of this room in cubic feet?"} {"instruction": "A chat. Determine the singular value decomposition of the matrix [[1, 2], [2, 3]]."} {"instruction": "A chat. In a standard deck of 52 playing cards, what is the probability of drawing four aces in a row if you draw one card at a time without replacement?"} {"instruction": "A chat. A cylindrical tank has a radius of 4 feet and a height of 12 feet. What is its volume in cubic feet?"} {"instruction": "A chat. If you roll a standard six-sided die, what is the probability of rolling an odd number? Show your work."} {"instruction": "A chat. If a car rental company has 120 cars, and 75% of them are rented out on a given day, how many more cars need to be rented for the company to reach an 85% occupancy rate?"} {"instruction": "A chat. If a factory produces 1500 items per day and each item requires 3 liters of water to be produced, how many liters of water will the factory consume in one year?"} {"instruction": "A chat. A publishing company wants to print a limited edition of a popular novel with gold-embossed covers. Each book requires 0.02 ounces of gold for embossing. Gold currently costs $1,800 per ounce. Calculate the total cost of gold needed to produce 5,000 copies of the limited edition. Additionally, consider that the company has a 10% discount on gold purchases over $50,000. Factor this in your calculation and provide step-by-step reasoning.\n"} {"instruction": "A chat. A farmer has a rectangular field that is 300 meters long and 200 meters wide. He wants to divide the field into square plots with equal side lengths. What is the largest size for each square plot so that no land is wasted?"} {"instruction": "A chat. How many 3-digit numbers can be formed using the digits 1, 2, 3, and 4 without repeating any digit?"} {"instruction": "A chat. In a certain country, every citizen must either be a knight or a knave. Knights always tell the truth, while knaves always lie. One day, you meet two citizens named Alice and Bob. Alice says, \"At least one of us is a knave.\" Who is the knight and who is the knave?"} {"instruction": "A chat. If a store sells 60% more apples on Saturday than it does on Friday, and it sells 500 apples on Friday, how many apples does it sell on Saturday?"} {"instruction": "A chat. A man travels from his house to work every day. He walks for 20 minutes, then takes a bus for 15 minutes, and finally rides a bike for another 10 minutes. If he leaves his house at 8:00 AM, what time does he arrive at work?"} {"instruction": "A chat. A train leaves a station at 2 PM and travels east at a speed of 60 km/h. Another train leaves the same station at 3 PM and travels west at a speed of 80 km/h. At what time will they be 420 km apart?"} {"instruction": "A chat. What is the sum of all integers from 1 to 1000 that are divisible by both 3 and 5?"} {"instruction": "A chat. John\u2019s father has five sons named Ten, Twenty, Thirty, Forty...Guess what would be the name of the fifth?"} {"instruction": "A chat. A zoo wants to expand its facilities by adding new animal habitats, visitor amenities, and educational programs. The total cost of the expansion is estimated at $75 million, with an additional $5 million for annual maintenance and operation expenses. Calculate the expected increase in visitor numbers needed to cover these costs, assuming an average ticket price of $20 per person and provide step-by-step reasoning.\n"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 15 meters. A gardener wants to increase the area of the garden by extending its length and width equally. If the new area is 420 square meters, what will be the new dimensions of the garden?"} {"instruction": "A chat. Alice has twice as many dimes as nickels, and the total value of her dimes and nickels is $3.95. How many nickels does she have?"} {"instruction": "A chat. If a store sells 20% more apples on Saturday than it does on Friday, and the total number of apples sold over these two days is 600, how many apples were sold on each day?"} {"instruction": "A chat. Calculate the result of ((7 * 8) / 2)^2 - 15."} {"instruction": "A chat. A grocery store chain wants to improve its inventory management system to reduce waste and increase profits. The company has collected data on sales, inventory levels, and spoilage rates for various products in each store. Develop a method to analyze this data and identify patterns that can help optimize inventory levels, taking into account factors such as seasonality, promotions, and customer preferences."} {"instruction": "A chat. In a town, there are 100 houses. Each house has a dog, and each dog has an owner who lives in the same house. If all dogs bark at cats, how many total legs do the cats have?"} {"instruction": "A chat. A box contains 10 black balls, 15 white balls, and 5 yellow balls. If you randomly pick two balls without replacement, what is the probability that at least one ball is black?"} {"instruction": "A chat. There are 5 people in a room, including Alice and Bob. If each person shakes hands with every other person exactly once, how many handshakes occur?"} {"instruction": "A chat. In a town, there are 100 houses. Every house has either cats or dogs as pets. If each cat owner has exactly 3 cats and each dog owner has exactly 4 dogs, and the total number of pets in the town is 280, how many houses have cats?"} {"instruction": "A chat. A city has a population of 800,000 people. If 60% of them own a car, how many cars are there in the city? Walk me through your thinking."} {"instruction": "A chat. A train leaves Town A at 8:00 AM traveling at 60 miles per hour towards Town B. Another train leaves Town B at 9:00 AM traveling at 80 miles per hour towards Town A. The distance between Town A and Town B is 420 miles. At what time will the two trains meet?"} {"instruction": "A chat. A logistics company wants to optimize its fleet of delivery trucks by replacing older, less fuel-efficient vehicles with newer models. The company currently operates 500 trucks, with an average fuel efficiency of 15 miles per gallon (mpg). Newer trucks have an average fuel efficiency of 25 mpg. Calculate the potential annual fuel savings if the company replaces all of its trucks, assuming each truck travels 100,000 miles per year and the current cost of fuel is $3 per gallon. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A car travels 300 miles on a full tank of gas. If gas costs $3.50 per gallon and the car's fuel tank holds 12 gallons, how much does it cost to travel 1,000 miles?"} {"instruction": "A chat. A factory produces 1200 widgets every day. If each widget weighs 1.5 pounds, how much do all the widgets produced in a week weigh?"} {"instruction": "A chat. In a village, there are 10 houses in a row. Every day, the postman delivers mail to each house starting from the first one and ending at the last one. On Monday, he notices that it's raining, so he skips every other house, delivering only to the odd-numbered houses. On Tuesday, it's still raining, so he decides to deliver only to the even-numbered houses. How many houses did not receive mail on both days?"} {"instruction": "A chat. A car travels at an average speed of 60 miles per hour for 3 hours and then increases its speed to 80 miles per hour for another 2 hours. What is the total distance traveled by the car?"} {"instruction": "A chat. If a company has a net income of $250,000 and its operating expenses are 60% of its revenue, what is the company's revenue?"} {"instruction": "A chat. A construction company is bidding on a project to build a 50-story office building. The building will have a total floor area of 1 million square feet, with an estimated construction cost of $200 per square foot. In addition to the base construction costs, the company needs to account for permits, insurance, and contingencies. Estimate the total project cost and the potential profit margin if the company aims for a 15% return on investment. Describe your calculations and assumptions.\n"} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. The mayor of the village wants to paint all even-numbered houses green and odd-numbered houses red. However, house number 7 is already painted blue. How many houses will be painted green?"} {"instruction": "A chat. Five friends decided to gift $200 equally among themselves. Later, two of them backed out. How much does each of the remaining friends get now? Explain your thought process."} {"instruction": "A chat. In a family of five siblings, three are girls and two are boys. The oldest sibling is a girl. What is the probability that the youngest sibling is also a girl?"} {"instruction": "A chat. A gardener can plant 10 flowers in an hour. How long will it take to plant 50 flowers?"} {"instruction": "A chat. A logistics company is planning to purchase a fleet of delivery trucks to expand its operations. The company has a budget of $1.5 million for this expansion. Each truck costs $75,000 and has a carrying capacity of 15 tons. The company also needs to account for fuel, insurance, and maintenance costs, which are estimated at $30,000 per truck per year. Calculate the total number of trucks the company can purchase within its budget and estimate the annual operating costs. Provide a step-by-step explanation.\n"} {"instruction": "A chat. A train leaves Station A heading towards Station B at 60 mph. At the same time, another train leaves Station B heading towards Station A at 40 mph. The distance between the two stations is 500 miles. How far from Station A will they meet?"} {"instruction": "A chat. In a group of 30 people, 18 have a cat, and 12 have a dog. If 6 people have both a cat and a dog, how many people have neither a cat nor a dog?"} {"instruction": "A chat. A store offers a discount on bulk purchases. For every 10 items bought, you get a 2% discount on your total purchase. How much would you save if you buy 50 items with each item costing $12?"} {"instruction": "A chat. A cone-shaped paper cup has a diameter of 4 inches at the top and a height of 6 inches. What is the volume of the cup in fluid ounces? (1 cubic inch \u2248 0.554 fluid ounces)"} {"instruction": "A chat. A food processing company is planning to expand its production capacity by building a new facility. The new plant will require 1000 tons of raw materials per month, which need to be transported from various suppliers located at different distances from the plant. The transportation cost per ton varies depending on the distance traveled. Calculate the total monthly transportation costs for the raw materials, considering the varying distances and costs per ton. Provide a detailed explanation of your approach.\n"} {"instruction": "A chat. A store sells three types of candies: A, B, and C. The ratio of candies A to B is 3:4, and the ratio of candies B to C is 2:5. If there are 120 candies in total, how many of each type are there?"} {"instruction": "A chat. Determine the value of the constant C such that the function f(x) = C * e^(-x^2) is a probability density function."} {"instruction": "A chat. In a bag, there are 7 red balls, 5 blue balls, and 3 green balls. If you randomly pick one ball out of the bag, what is the probability of picking a red or blue ball?"} {"instruction": "A chat. If Earth were the size of a basketball (9.5 inches in diameter), how big would the Moon be and how far away would it be from Earth?"} {"instruction": "A chat. How many prime numbers are there between 1 and 100?"} {"instruction": "A chat. A baker makes 12 loaves of bread every hour. How many loaves does he make in a week? Walk me through your steps."} {"instruction": "A chat. A cruise ship company is planning a new route that will visit five different ports over ten days. Each port charges docking fees based on the size of the ship and the duration of the stay. The company needs to determine the optimal schedule for visiting each port while minimizing docking fees and maximizing passenger satisfaction. They also need to consider factors such as travel time between ports, local attractions, and weather conditions. Describe the steps involved in creating this schedule and identify the variables to be considered.\n"} {"instruction": "A chat. If there are 24 hours in a day and 60 minutes in an hour, how many minutes are there in one week?"} {"instruction": "A chat. A snail climbs up a wall 20 feet high. Each day the snail climbs 5 feet, but each night it slips back 4 feet. How many days does it take for the snail to reach the top of the wall?"} {"instruction": "A chat. A factory has two machines that produce widgets. Machine A produces 200 widgets per hour, while machine B produces 150 widgets per hour. If both machines operate for 10 hours a day, how many widgets are produced by each machine in a month with 30 days?"} {"instruction": "A chat. Given the set S = {1, 2, 3}, find all possible subsets of S."} {"instruction": "A chat. If a train travels at an average speed of 90 kilometers per hour for 5 hours and then decreases its speed to 60 kilometers per hour for another 3 hours, how far does the train travel in total?"} {"instruction": "A chat. In a class of 30 students, each student shakes hands with every other student once. How many handshakes occur in total? Explain your reasoning."} {"instruction": "A chat. A factory produces 100 cars per day. Each car has 4 wheels. If the factory increases its production by 50% and starts producing trucks with 6 wheels each, how many wheels will be produced daily?"} {"instruction": "A chat. There are four cards on a table, each with a letter on one side and a number on the other. The visible sides show A, K, 4, and 7. To test the rule \"If there is an A on one side, then there is a 4 on the other side,\" which cards must you flip over?"} {"instruction": "A chat. A large supermarket chain wants to optimize its supply chain by reducing food waste. The company currently discards 10% of its perishable inventory due to spoilage. To minimize waste, they plan to invest in better storage facilities and implement a just-in-time inventory management system. The cost of upgrading storage facilities is estimated at $5 million, while implementing the new inventory system requires an investment of $2 million. Calculate the potential savings in food waste reduction and determine if the investment is worthwhile, assuming that the supermarket chain's annual revenue from perishable goods is $100 million.\n"} {"instruction": "A chat. You have a bag with 10 red balls and 20 blue balls. What is the probability of drawing a red ball from the bag without looking? Include your reasoning."} {"instruction": "A chat. You have a box of chocolates containing 15 pieces. Every day, you eat 2 pieces. However, every third day, you exercise self-control and only eat 1 piece. How many days will the chocolates last? Show your reasoning."} {"instruction": "A chat. In a basket, there are only red and blue balls. If you randomly pick two balls from the basket without replacement, the probability of getting two red balls is 1/3. What is the ratio of red balls to blue balls in the basket?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. It takes 2 hours to cover half the distance between the two towns. How long does it take for the train to travel the entire distance between Town A and Town B if it stops for 30 minutes at a station halfway through the journey?"} {"instruction": "A chat. A bag contains 6 red balls and 4 blue balls. If you draw 2 balls without replacement, what is the probability that both balls are red? Explain your thought process."} {"instruction": "A chat. Evaluate the integral of g(x) = e^(2x) from 0 to 1."} {"instruction": "A chat. A store sells packs of pencils and pens. Each pack contains 5 pencils and 3 pens. If you buy 7 packs, how many total writing instruments do you have?"} {"instruction": "A chat. There are 5 boxes, each containing a different number of balls. Box A has more balls than box B, and box C has fewer balls than box D. If we know that box E has the most balls, which box has the second highest number of balls?"} {"instruction": "A chat. A company has a budget of $10,000 for employee bonuses. If they want to give each employee an equal bonus, and there are 25 employees, how much will each employee receive? Additionally, if the company decides to hire 5 more employees, how much would each employee receive then?"} {"instruction": "A chat. ((8^2 / 4) + 6) * 3 - 5 ="} {"instruction": "A chat. Suppose you flip three coins. What is the probability that exactly two coins come up heads? Show your work."} {"instruction": "A chat. (4x^2 - 6x + 2) - (2x^2 + 4x - 1) ="} {"instruction": "A chat. In a small town, there are 3 doctors. Each doctor has exactly 4 patients. One day, one of the doctors moves away, and their patients are divided equally among the remaining two doctors. How many patients does each doctor have now?"} {"instruction": "A chat. In an election with two candidates, candidate A received 55% of the votes, while candidate B received the remaining votes. If there were a total of 8000 votes cast, by how many votes did candidate A win?"} {"instruction": "A chat. There are 15 apples in a basket. John takes 3 apples, Mary takes 4 apples, and Peter takes 5 apples. How many apples are left in the basket?"} {"instruction": "A chat. In a room, there are 4 people. Each person shakes hands with every other person exactly once. How many handshakes take place in total?"} {"instruction": "A chat. A fruit seller had 120 apples. He sold 40% of them on Monday and 25% of the remaining on Tuesday. How many apples did he have left after Tuesday? Provide step-by-step logic."} {"instruction": "A chat. In a small village, there are 10 houses. Each house has 2 doors. One day, half of the doors were painted red, and the other half were painted blue. How many red doors are there in the village?"} {"instruction": "A chat. A company has a revenue of $1,000,000 per year and spends 40% on salaries, 30% on rent and utilities, and 15% on marketing. What is the annual profit of the company?"} {"instruction": "A chat. How many prime numbers are there between 100 and 200?"} {"instruction": "A chat. There are 100 birds sitting on a fence. A hunter shoots and kills 10 of them. How many birds are left on the fence?"} {"instruction": "A chat. An airline is planning to introduce new direct flights between several major cities. They currently operate a fleet of 50 aircraft, each with a capacity of 200 passengers. The airline wants to add five new routes, with an expected demand of 1,000 passengers per day for each route. Determine how many additional aircraft the airline needs to purchase to accommodate this increased demand, taking into account factors such as flight frequency, turnaround times, and maintenance schedules. Also, estimate the cost of purchasing these new aircraft if each one costs $80 million."} {"instruction": "A chat. A committee of 5 people is to be formed from a group of 9 men and 4 women. In how many ways can this be done if at least one woman must be included in the committee?"} {"instruction": "A chat. A company has 500 employees, and 60% of them are male. The company decides to hire an additional 100 employees, 70% of whom are female. What is the new percentage of male employees in the company?"} {"instruction": "A chat. A store sells two types of candy bars. Type A weighs 80 grams and costs $1.50, while type B weighs 120 grams and costs $2.00. What is the price per gram for each type of candy bar?"} {"instruction": "A chat. In a school, there are 800 students. If 60% of these students participate in sports activities, and 40% of those participating in sports also participate in music programs, how many students participate in both sports and music?"} {"instruction": "A chat. There are 25 horses. What is the minimum number of races needed to identify the fastest 3 horses? You can race only 5 horses at a time and you don't have a timer. Explain your thought process."} {"instruction": "A chat. A farmer has chickens and rabbits in his farmyard. He counted a total of 40 heads and 112 legs. How many chickens and rabbits does he have?"} {"instruction": "A chat. In a bag of mixed candies, there are 14 red candies, 9 blue candies, and 7 green candies. What is the probability of randomly picking a red candy from the bag? Show your work."} {"instruction": "A chat. In a school, 60% of students play football, 30% play basketball, and 10% play both games. What percentage of students do not play any game? Use logical steps to solve."} {"instruction": "A chat. If I toss a coin 5 times, what is the probability of getting at least 4 heads? Show your calculations."} {"instruction": "A chat. A train travels at an average speed of 60 km/h. If it increases its speed by 50%, how long will it take to cover a distance of 180 km?"} {"instruction": "A chat. Five pieces of coal, a carrot, and a scarf are lying on the lawn. Nobody put them on the lawn but there is a perfectly logical reason why they should be there. What is it?"} {"instruction": "A chat. Alice and Bob play a game where they take turns removing stones from a pile. Alice goes first. On each turn, a player can remove either 1, 3, or 4 stones. The player who removes the last stone wins. If there are initially 17 stones, how should Alice play to ensure she wins? Show your strategy."} {"instruction": "A chat. A factory produces 1000 units of product A every day. It takes 10 days for the factory to produce enough products to fill a shipment container. The factory decides to double its production capacity. How long does it take now to fill a shipment container?"} {"instruction": "A chat. Determine the number of prime numbers between 1 and 100."} {"instruction": "A chat. A farmer has a rectangular field that measures 100 meters in length and 50 meters in width. He wants to plant trees around the perimeter of the field with equal spacing between each tree. If he plants one tree at each corner and then plants 8 more trees along each side, how many trees does he plant in total?"} {"instruction": "A chat. A store sells apples in bags of 6. If I buy 7 bags, how many apples do I have? Include your logic."} {"instruction": "A chat. In a certain country, 1/3 of the population is under 18 years old, 1/2 of the remaining population is between 18 and 65 years old, and the rest are over 65 years old. If there are 12 million people over 65 years old, what is the total population of the country?"} {"instruction": "A chat. You're playing a game where you start with 1 point and your score doubles every minute. How many points will you have after 10 minutes? Show your reasoning."} {"instruction": "A chat. A train travels 60 miles per hour for 2 hours and then 80 miles per hour for another 2 hours. What is the average speed of the train during the entire trip?"} {"instruction": "A chat. A store sells widgets at a profit margin of 30%. If they purchase each widget from their supplier for $20, what is the selling price of each widget?"} {"instruction": "A chat. In a class of 25 students, 10 students are wearing glasses and 15 students are not. Among the students wearing glasses, 4 are boys and 6 are girls. If there are more boys than girls in the class, how many boys are in the class? Explain your thought process."} {"instruction": "A chat. Let V be a vector space over a field F, and let T: V -> V be a linear transformation. Show that if T^2 = T, then V can be decomposed into a direct sum of eigenspaces corresponding to eigenvalues 0 and 1."} {"instruction": "A chat. The population of a town increases by 5% every year. If the current population is 10,000, what will be the population in 3 years? Provide step-by-step reasoning.\n"} {"instruction": "A chat. There are 100 people in a line waiting to enter a theater. The first person has a ticket for seat number 1, the second person has a ticket for seat number 2, and so on until the last person who has a ticket for seat number 100. However, the first person loses their ticket and decides to take a random seat. Every subsequent person entering the theater either takes their assigned seat if available or chooses a random unoccupied seat if their assigned seat is taken. What is the probability that the last person ends up sitting in seat number 100?"} {"instruction": "A chat. In a race, Adam finishes before Brad, who finishes before Carl. David finishes after Edward but before Frank. If Carl finishes before David, which of these statements must be true? \nA) Adam finishes before Edward\nB) Frank finishes last\nC) Brad finishes before David\nD) None of the above"} {"instruction": "A chat. If every cat has 4 legs, how many cats are there if you count 80 legs?"} {"instruction": "A chat. A city is planning to build a new public park that will include walking trails, playgrounds, and picnic areas. The total area of the park is 100 acres, with 30% dedicated to walking trails, 20% for playgrounds, and the remaining 50% for picnic areas. Calculate the acreage allocated for each section of the park and estimate the number of trees needed to provide adequate shade, assuming one tree provides shade for 500 square feet. Consider an average tree planting cost of $150 per tree and calculate the total budget required for tree planting.\n"} {"instruction": "A chat. A company has an annual revenue growth rate of 6%. If their current annual revenue is $500,000, what will be their annual revenue in 5 years?"} {"instruction": "A chat. In a room, there are 4 cats. Each cat catches 3 mice in an hour. However, for every 2 mice caught by the cats, one escapes. How many mice do not escape after 1 hour?"} {"instruction": "A chat. In an election, candidate A received 45% of the votes, candidate B received 35%, and candidate C received the remaining 20%. If candidate A won by 4,500 votes, how many total votes were cast in the election?"} {"instruction": "A chat. If Earth was scaled down to the size of a basketball, what would be the approximate diameter of the Moon at this scale?"} {"instruction": "A chat. In a room full of people, there are twice as many women as men. If there are 18 more women than men, how many people are in the room?"} {"instruction": "A chat. A company has a starting budget of $10,000 and spends $200 per day on expenses. After how many days will the company have spent half of its initial budget?"} {"instruction": "A chat. A factory produces 250 units of product A every day. How many units will be produced in a month with 31 days?"} {"instruction": "A chat. At a party, there are 10 people who all speak English, 7 people who speak French, and 6 people who speak both English and French. How many people at the party speak only English or only French?"} {"instruction": "A chat. A large hotel chain is planning to renovate all of its properties worldwide. There are 250 hotels in total, with an average of 150 rooms per hotel. Renovations include upgrading furniture, repainting walls, and installing energy-efficient lighting. The average cost per room is $8,000 for renovations. Calculate the total cost of renovations and determine how many hotels can be renovated each year if the company allocates $20 million annually for this project.\n"} {"instruction": "A chat. A rectangular garden has a length of 30 meters and a width of 20 meters. If you want to increase the area by 50%, what should be the new length if the width remains unchanged?"} {"instruction": "A chat. A company produces widgets at a cost of $5 per widget. They sell each widget for $8. The company has fixed costs of $2,000 per month. How many widgets do they need to sell in one month to break even?"} {"instruction": "A chat. Prove that every continuous function on a closed interval [a, b] is uniformly continuous."} {"instruction": "A chat. In a group of 100 people, 70% prefer coffee over tea, and 30% prefer tea over coffee. If you randomly select 5 people from this group, what is the probability that exactly 3 of them prefer coffee?"} {"instruction": "A chat. Prove or disprove the following statement: If a graph G has an Eulerian circuit, then every vertex in G has even degree. Explain your reasoning."} {"instruction": "A chat. There are 12 apples in a basket. You take away 5 apples but then put back 3 apples. How many apples do you have?"} {"instruction": "A chat. At a party, there are only chocolate and vanilla cupcakes. There are twice as many chocolate cupcakes as vanilla cupcakes. If 30% of the chocolate cupcakes and 40% of the vanilla cupcakes have been eaten, there are now 42 cupcakes left. How many chocolate cupcakes were there originally?"} {"instruction": "A chat. A box contains 5 apples and 7 oranges. If you take out two fruits at random, what is the probability that both fruits are oranges?"} {"instruction": "A chat. Solve for x: 4x - 7 = 21"} {"instruction": "A chat. In a small town, there are 20 houses on one side of the street and 30 houses on the other side. Every house has a red door except for two houses that have blue doors. How many red doors are there in total?"} {"instruction": "A chat. If a fair six-sided die is rolled three times, what is the probability that the sum of the numbers rolled will be greater than or equal to 14?"} {"instruction": "A chat. In a class of 30 students, 12 play basketball, 15 play soccer, and 7 play both sports. How many students do not play any sport?"} {"instruction": "A chat. Derive the Black-Scholes option pricing formula for a European call option on a non-dividend-paying stock. Explain your calculations.\n"} {"instruction": "A chat. A bank offers an annual interest rate of 3% on a savings account. If you deposit $10,000 into the account, how much interest will you earn after two years?"} {"instruction": "A chat. A factory produces 1000 widgets per day. Each widget is inspected by a quality control team before being packaged for sale. If the quality control team rejects 5% of the widgets produced each day, how many widgets are accepted and packaged for sale daily?"} {"instruction": "A chat. A man gave his son $100 to buy some items at the store. The son spent half of the money on apples, a quarter of the remaining amount on oranges, and the rest on candy. How much did he spend on candy?"} {"instruction": "A chat. An airline company wants to optimize its fleet utilization by adjusting the number of flights on specific routes. The company operates 100 aircraft, each with a seating capacity of 200 passengers. On average, each plane flies 4 flights per day, with an occupancy rate of 85%. To increase revenue, the company plans to add more flights on high-demand routes without purchasing additional aircraft. Estimate the maximum number of additional daily flights possible without compromising safety regulations or exceeding the planes' operational limits.\n"} {"instruction": "A chat. In a class of 30 students, 18 play football, 17 play basketball, and 10 play both games. How many students don't play either game? Show your steps."} {"instruction": "A chat. In a bag of marbles, there are 3 red marbles, 5 blue marbles, and 7 green marbles. If you randomly pick one marble, what is the probability of it being either red or blue?"} {"instruction": "A chat. If a 12-inch pizza has twice the radius of a 6-inch pizza, how many times more toppings will be needed for the 12-inch pizza compared to the 6-inch pizza?"} {"instruction": "A chat. In a small town, there are 3 barbers. The first barber has messy hair, the second barber has neat hair, and the third barber has no hair at all. If you were to choose one of them for a haircut, which one should you go to?"} {"instruction": "A chat. There are three friends named Amy, Beth, and Cathy. One of them always tells the truth, one always lies, and one alternates between telling the truth and lying. They make the following statements:\nAmy: \"I always tell the truth.\"\nBeth: \"Cathy alternates between telling the truth and lying.\"\nCathy: \"Amy always lies.\"\nWho is the person that always tells the truth?"} {"instruction": "A chat. A box contains red balls and blue balls. There are twice as many red balls as there are blue balls. If there are a total of 30 balls in the box, how many blue balls are there?"} {"instruction": "A chat. If a car rental company has 120 cars, and 75% of them are rented out at any given time, how many cars would be available for rent on average during the day?"} {"instruction": "A chat. If there are 25 students in a class and each student has an average of 5 pencils, how many total pencils do all the students have combined?"} {"instruction": "A chat. A bag contains 5 red balls and 3 green balls. If you draw one ball from the bag, replace it, and then draw another ball, what is the probability that both balls drawn are red? Explain your reasoning."} {"instruction": "A chat. Using the Pythagorean theorem, prove that the diagonal of a rectangle with sides a and b has length sqrt(a^2 + b^2). Explain your reasoning.\n"} {"instruction": "A chat. A jar contains 5 red marbles, 3 blue marbles, and 2 green marbles. If you randomly draw one marble from the jar, what is the probability that it will be either red or green?"} {"instruction": "A chat. If I flip a coin three times, what is the probability of getting heads exactly twice? Include your logic."} {"instruction": "A chat. How many miles does the Earth travel in its orbit around the Sun in one day?"} {"instruction": "A chat. If a farmer has 20 acres of land and wants to divide it into equal rectangular plots for different crops, what are the possible dimensions of these rectangular plots?"} {"instruction": "A chat. In a small town, there are 4 barbers. Barber A has more customers than Barber B. Barber C has fewer customers than Barber D. If Barber B and Barber C have the same number of customers, who is the barber with the most customers?"} {"instruction": "A chat. A group of friends decides to split the cost of a vacation rental equally. The total cost of the rental is $2,400, and each person contributes $300. How many people are in the group?"} {"instruction": "A chat. Find the area under the curve y = e^(-x^2) from x = 0 to x = 1 using numerical integration techniques. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A company sells two types of products, X and Y. Product X generates $10 profit per unit, while product Y generates $15 profit per unit. The company aims to generate at least $100,000 in profit per month. If they sell 4,000 units of product X every month, how many units of product Y must they sell to meet their profit goal?"} {"instruction": "A chat. A factory produces 1000 units of a product every day. On Monday, there were 200 defective units produced. On Tuesday, there were 150 defective units produced. What percentage of the products produced on both days were defective?"} {"instruction": "A chat. If there are approximately 7.9 billion people on Earth and the average person takes about 23,000 breaths per day, how many total breaths do all humans take in one day?"} {"instruction": "A chat. There are two boxes. One box contains only apples, another box contains only oranges. All boxes are labeled incorrectly. You can take out one fruit from any box without looking inside. What is the minimum number of fruits you need to take out to correctly label the boxes?"} {"instruction": "A chat. If you could drive straight up at a constant speed of 60 miles per hour, how long would it take to reach the Moon at its average distance from Earth?"} {"instruction": "A chat. There are 10 red balls and 20 blue balls in a box. If you randomly pick one ball from the box, what is the probability that it is red?"} {"instruction": "A chat. A city is planning to build a new public park with various recreational facilities, including playgrounds, sports courts, and picnic areas. The total area of the park is 10 acres, and the city has allocated $1 million for the project. Calculate the cost per square foot for each facility type, considering that playgrounds will take up 30% of the park's area, sports courts will occupy 40%, and picnic areas will cover the remaining 30%. Also, estimate the number of visitors the park can accommodate daily based on an average visit duration of 2 hours and a maximum capacity of 50 people per acre at any given time.\n"} {"instruction": "A chat. A company has two factories. Factory A produces 1200 units per day with a defect rate of 3%, while factory B produces 800 units per day with a defect rate of 5%. What is the overall defect rate for the company?"} {"instruction": "A chat. A car factory produces 20 cars every day. How many cars will it produce in a non-leap year? Show your work."} {"instruction": "A chat. In a town, there are 10 houses on one side of the street and 5 houses on the other side. If each house has at least 1 cat and no more than 3 cats, what is the minimum number of cats in the town?"} {"instruction": "A chat. If today is Tuesday, what day of the week will it be 100 days from now?"} {"instruction": "A chat. A zoo is planning to expand its animal exhibits, with a focus on increasing the number of species and improving visitor experience. The current zoo area is 50 acres, with plans to add an additional 20 acres for new exhibits. Calculate the percentage increase in zoo area and estimate the number of new species that can be added, assuming each species requires an average of 0.5 acres for their exhibit. Also, consider factors such as visitor pathways, rest areas, and other amenities when determining the available space for new exhibits. Describe your reasoning in steps.\n"} {"instruction": "A chat. A box contains 5 red balls and 7 blue balls. What is the probability of drawing 2 red balls followed by 1 blue ball without replacement?"} {"instruction": "A chat. A company sells a product with a profit margin of 25%. If the cost to produce one unit is $80, what should be the selling price of each unit to achieve this profit margin?"} {"instruction": "A chat. A car rental company charges $25 per day for renting a car and an additional $0.15 per mile driven. How much would it cost to rent the car for 10 days and drive 600 miles?"} {"instruction": "A chat. A national park is evaluating the impact of visitor traffic on its infrastructure and resources. On average, the park receives 1 million visitors per year, with each visitor spending approximately 2 days in the park. Visitors have access to various facilities such as campgrounds, picnic areas, and hiking trails. Estimate the daily usage of these facilities and determine the necessary maintenance and staffing requirements to ensure optimal visitor experience.\n"} {"instruction": "A chat. A national park is looking to improve its trail system to accommodate more visitors. The park currently has 100 miles of trails, with varying levels of difficulty and accessibility. Park officials want to add 50 more miles of trails while maintaining a balance between easy, moderate, and difficult trails. Determine the optimal distribution of new trails based on visitor preferences, environmental impact, and maintenance requirements. Provide a step-by-step plan for achieving this goal.\n"} {"instruction": "A chat. A group of friends decided to split the bill evenly after dinner. The total bill came to $150 and there were 5 people in the group. How much does each person owe? Explain your reasoning."} {"instruction": "A chat. A train travels from Town A to Town B and then to Town C. The distance between Town A and Town B is 120 miles, and the distance between Town B and Town C is 150 miles. If the train travels at an average speed of 60 miles per hour, how long does it take for the train to travel from Town A to Town C?"} {"instruction": "A chat. A rectangle has an area of 120 square units, and its length is 5 units more than twice its width. What are the dimensions of the rectangle?"} {"instruction": "A chat. Prove that the sum of the first n odd integers is equal to n^2, using mathematical induction.\n"} {"instruction": "A chat. A frog jumps onto a lily pad. What is the probability that it will rain tomorrow?"} {"instruction": "A chat. In a small town, there are 5 houses in a row. The blue house is next to the red house. The green house is two houses away from the yellow house. The white house is between the blue and green houses. What is the order of the houses?"} {"instruction": "A chat. A small business owner invests $10,000 in a savings account with an annual interest rate of 5%. How much will be in the account after three years if the interest is compounded annually?"} {"instruction": "A chat. In a town, there are 20 houses on one side of the street and 15 houses on the other side. Each house has an even number of people living in it. The total number of people living in all the houses is 120. How many people live in each house on average?"} {"instruction": "A chat. Determine the limit as x approaches infinity of (3x^2 - 2x)/(x^2 + 1)."} {"instruction": "A chat. There are 100 people in a room. If 70% of them wear glasses and 40% of them have blue eyes, what is the maximum number of people who could be wearing glasses and have blue eyes?"} {"instruction": "A chat. In a group of people, 60% prefer coffee over tea, while the remaining 40% prefer tea. If there are 36 more people who prefer coffee than those who prefer tea, how many people are in the group?"} {"instruction": "A chat. In a basket, there are 6 apples, 8 oranges, and 10 bananas. If you randomly pick one fruit from the basket, what is the probability that it will be an apple or a banana?"} {"instruction": "A chat. A farmer sells apples at a local market. He has 1000 kg of apples and sells them in 2 kg bags. The price per bag is $5. How much revenue will he generate from selling all his apples, and how many bags does he need?"} {"instruction": "A chat. A factory produces widgets at a rate of 500 per hour. Due to increased demand, they decide to increase production by 20% every week. How many widgets will they produce in the third week?"} {"instruction": "A chat. In a village, there are 100 houses. Every house has a dog, and every dog has 4 legs. One day, a tornado comes through the village and destroys half of the houses. How many dog legs are left in the village?"} {"instruction": "A chat. If a car gets 25 miles per gallon and has a fuel tank capacity of 12 gallons, how far can it travel on a full tank?"} {"instruction": "A chat. Calculate the Fourier transform of the Gaussian function e^(-x^2)."} {"instruction": "A chat. A factory produces 1,200 units of product A and 800 units of product B every day. The profit per unit for product A is $5, while the profit per unit for product B is $8. How much total profit does the factory make in one week (7 days)?"} {"instruction": "A chat. A group of people is standing in a circle. Every second person starting from the first person is asked to leave the circle until only one person remains. If there were initially 12 people in the circle, which position was the last person who remained in?"} {"instruction": "A chat. There are 50 people in a room. If 20% of them are wearing glasses and 30% of them are wearing hats, what is the minimum number of people who could be wearing both glasses and hats?"} {"instruction": "A chat. A box contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of picking a red ball from the box without looking? Show your work."} {"instruction": "A chat. The world record for most people doing jumping jacks simultaneously is 20,425. If each person does 100 jumping jacks in 2 minutes, how many total jumping jacks will be done?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 mph. The distance between the towns is 180 miles. Halfway through the journey, the train stops for 20 minutes before continuing on its way. What is the average speed of the train for the entire trip?"} {"instruction": "A chat. In a class of 30 students, 12 are boys and the rest are girls. If each boy has 3 pencils and each girl has 5 pencils, how many pencils do all the students have in total?"} {"instruction": "A chat. Emily has 4 cousins. Each cousin has 3 siblings. How many siblings does Emily have? Include your logic."} {"instruction": "A chat. Determine the electric field strength at a distance of 0.5 meters from a point charge of 2 x 10^-6 C. Provide a detailed explanation.\n"} {"instruction": "A chat. A car travels 60 miles per hour for the first half of a trip and 40 miles per hour for the second half. If the total distance of the trip is 200 miles, how long does it take to complete the entire trip?"} {"instruction": "A chat. A city is considering implementing a congestion pricing system to reduce traffic in its downtown area during peak hours. The proposed system would charge drivers $10 per day for entering the designated zone between 7 am and 7 pm on weekdays. Estimate the potential revenue generated from this system, taking into account factors like the number of vehicles entering the zone, compliance rates, and administrative costs. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a school with 800 students, 60% of them participate in sports activities. Out of those who participate in sports, 30% also join the music club. How many students participate in both sports and music?"} {"instruction": "A chat. In a town, 40% of the people have blue eyes, and 60% have brown eyes. Among the blue-eyed people, 30% are left-handed, while among the brown-eyed people, 20% are left-handed. What percentage of the town's population is both blue-eyed and left-handed?"} {"instruction": "A chat. A box contains 10 red balls and 20 blue balls. If you randomly pick one ball from the box, what is the probability that it is red? If you then put the ball back and mix the balls again before picking another ball, what is the probability that both balls picked were red?"} {"instruction": "A chat. A bag contains 6 red balls, 8 blue balls, and 7 green balls. If you draw three balls without replacement, what is the probability that none of them are red? Include your thought process."} {"instruction": "A chat. There are 10 people in a room, and each person knows a secret about the other nine. If one person leaves the room, how many secrets remain among those still in the room?"} {"instruction": "A chat. A rectangular garden has a length of 15 feet and a width of 8 feet. What is the perimeter of the garden in feet?"} {"instruction": "A chat. In a class of 30 students, 12 play basketball, 15 play soccer, and 18 play volleyball. If 5 students play all three sports, how many students play exactly two sports?"} {"instruction": "A chat. A company sells two types of products, A and B. The profit from selling one unit of product A is $25, while the profit from selling one unit of product B is $40. In a month, the company sold a total of 200 units of both products combined and made a total profit of $6,500. How many units of each product were sold?"} {"instruction": "A chat. A factory produces 500 units of product A every day. Each unit requires 4 screws and 2 bolts. The factory has 20,000 screws and 15,000 bolts in stock. How many days can the factory continue production before running out of either screws or bolts?"} {"instruction": "A chat. A water tank has a capacity of 800 liters and is currently filled with 500 liters of water. If a tap connected to the tank releases water at a rate of 10 liters per minute, how long will it take for the tank to be completely empty?"} {"instruction": "A chat. A train leaves from station A to station B, traveling at 60 mph. At the same time, another train leaves from station B to station A, traveling at 40 mph. When they meet, which train will be farther from station A?"} {"instruction": "A chat. A factory produces 250 units of a product every day. How many units will it produce in 12 weeks?"} {"instruction": "A chat. A rectangular room has a length of 12 meters and a width of 8 meters. If you want to cover the entire floor with square tiles, each measuring 1 meter by 1 meter, how many tiles will you need?"} {"instruction": "A chat. A company has 80 employees. If 60% of them have a college degree and 25% of those with a college degree also have a postgraduate degree, how many employees have a postgraduate degree?"} {"instruction": "A chat. A factory produces 250 widgets every day. How many widgets will be produced in 45 days if the factory operates every day?"} {"instruction": "A chat. In a class of 30 students, there are twice as many girls as boys. If 5 more boys join the class, how many girls would have to leave in order for the number of boys and girls to be equal?"} {"instruction": "A chat. If a car is traveling at a constant speed of 65 miles per hour and needs to cover a distance of 520 miles, how long will it take for the car to reach its destination?"} {"instruction": "A chat. A factory produces widgets at a rate of 50 widgets per hour. Due to increasing demand, they decide to increase production by 20% every week. How many widgets will they produce in the fourth week?"} {"instruction": "A chat. A spider has 8 legs. How many spiders would there be if you counted 64 legs? Show your work."} {"instruction": "A chat. A train leaves Station A traveling east at 80 km/h. Another train leaves Station B, which is 320 km east of Station A, traveling west at 120 km/h. How long will it take for the two trains to meet each other?"} {"instruction": "A chat. In how many ways can you distribute 12 identical apples among three different baskets?"} {"instruction": "A chat. In a certain country, the tax rate on income is as follows: 10% on the first $10,000, 20% on the next $30,000, and 30% on any amount above $40,000. If a person earns $60,000 per year, how much will they pay in taxes?"} {"instruction": "A chat. A factory produces 500 units of product A in 8 hours. If each unit requires 3 minutes of machine time and 5 minutes of labor time, how many machines and workers are needed to produce the same amount of product A in 4 hours?"} {"instruction": "A chat. A city's public transportation system plans to replace its aging fleet of buses with electric buses. There are currently 200 diesel buses in operation, each with a seating capacity of 60 passengers. The electric buses have a seating capacity of 70 passengers but cost $750,000 each. The city has a budget of $120 million for this project. Calculate how many electric buses can be purchased within the budget and determine if the new fleet will be able to maintain or improve the current passenger capacity. Explain your reasoning.\n"} {"instruction": "A chat. A large hotel chain plans to renovate its properties over the next five years. There are 500 hotels in the chain, with an average of 200 rooms per hotel. Renovations will include upgrading guest rooms, common areas, and conference facilities. Estimate the total cost of renovations based on industry benchmarks and develop a timeline for completing the project, taking into account factors such as hotel occupancy rates, seasonal fluctuations, and contractor availability. Provide detailed reasoning.\n"} {"instruction": "A chat. A cruise ship company is analyzing its fuel consumption to optimize travel routes and reduce operating costs. The company operates three types of ships: small, medium, and large. Small ships have a fuel consumption rate of 30 gallons per mile, medium ships consume 45 gallons per mile, and large ships consume 60 gallons per mile. The company's fleet consists of 10 small ships, 5 medium ships, and 2 large ships. Calculate the total fuel consumption for a round-trip voyage of 1,000 miles for each type of ship, as well as the entire fleet. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In an election, there are three candidates: Alice, Bob, and Carol. There are 10,000 voters, and the votes are distributed as follows: Alice gets 45%, Bob gets 35%, and Carol gets 20%. How many more votes does Alice get than Bob?"} {"instruction": "A chat. A sequence follows the rule: each term is obtained by multiplying the previous term by 3 and then subtracting 2. If the first term is 4, what is the fifth term in the sequence?"} {"instruction": "A chat. A group of people want to rent bicycles for a day trip. The rental shop charges $20 per bicycle and a $50 group fee. If the total cost for the group is $290, how many bicycles did they rent?"} {"instruction": "A chat. A fair six-sided die is rolled three times. What is the probability that at least one roll shows a 5?"} {"instruction": "A chat. A store sells three types of items: type X, type Y, and type Z. The store has 50 items of type X, each priced at $15; 70 items of type Y, each priced at $25; and 30 items of type Z, each priced at $40. If all the items are sold, what is the total revenue generated by the store?"} {"instruction": "A chat. A train travels from Town A to Town B at an average speed of 50 mph and then returns to Town A at an average speed of 75 mph. If the round trip takes 5 hours, what is the distance between Town A and Town B?"} {"instruction": "A chat. If there are 7 billion people in the world and each person has an average of 2.3 children, how many children would there be in total? Show your work."} {"instruction": "A chat. A group of friends decided to split the cost of a meal evenly among themselves. However, two friends forgot their wallets and couldn't pay. As a result, the remaining friends had to pay an extra $4 each. If there were originally 8 friends, how much did the meal cost?"} {"instruction": "A chat. What is the sum of all the integers between 100 and 200 that are divisible by 7?"} {"instruction": "A chat. You're in a room with three light switches labeled A, B, and C. Each switch controls one of three light bulbs in another room that you can't see from your current location. You're allowed to enter the other room only once, after which you must correctly identify which switch controls each bulb. How can you determine which switch controls each light bulb?"} {"instruction": "A chat. In a town, there are 100 houses. If all the blue houses have red doors and all the green houses have yellow doors, how many houses have red doors?"} {"instruction": "A chat. A fashion company wants to produce a new line of clothing using sustainable materials. They need to source fabric that meets specific environmental criteria and has a minimum order quantity of 5,000 yards. The fabric costs $25 per yard, and the company estimates it will need 1 yard of fabric to make each garment. Calculate the total fabric cost and determine how many garments they can produce with their budget of $125,000.\n"} {"instruction": "A chat. A box contains 4 red balls, 5 blue balls, and 3 green balls. What is the probability of drawing a red ball followed by a blue ball without replacement?"} {"instruction": "A chat. A shipping company is trying to optimize its container loading process. Each container can hold up to 20 tons of cargo, but the maximum weight allowed by law is 18 tons per container. The company currently has 100 containers available for shipping. Calculate the total weight capacity of all containers when loaded to the legal limit and determine how many additional containers would be needed if they were to ship a total of 2,000 tons of cargo. Provide step-by-step reasoning.\n"} {"instruction": "A chat. If a person walks at an average speed of 3 miles per hour for 45 minutes, how far do they walk?"} {"instruction": "A chat. Given the function f(x) = x^5 - 7x^3 + 6x, find all critical points and determine their nature (local maxima, local minima, or saddle points)."} {"instruction": "A chat. Determine the radius of convergence of the power series \u2211 (n * x^n)/n! from n=1 to infinity."} {"instruction": "A chat. There are 4 houses in a row. The blue house is next to the red house, which is not at either end of the row. The green house is on one end of the row. What color is the house on the other end?"} {"instruction": "A chat. A company has 500 employees and decides to give each employee a 10% salary increase. If the average monthly salary is $3,000, how much more will the company spend on salaries every month?"} {"instruction": "A chat. If a baker uses one bag of flour to make 3 loaves of bread, how many bags does he use to make 45 loaves? Please explain."} {"instruction": "A chat. There are 100 light bulbs lined up in a row. You start with all the lights off. You walk down the row and turn on every bulb. Then you go back to the beginning and switch off every second bulb. On your third pass, you toggle every third bulb (turning it off if it's on or turning it on if it's off). You continue this process for 100 passes. After completing the 100th pass, how many light bulbs are left on?"} {"instruction": "A chat. A hospital is analyzing its emergency room (ER) operations to improve patient wait times. On average, the ER receives 150 patients per day, with a standard deviation of 20 patients. The hospital currently has 15 doctors working in the ER, each able to see an average of 12 patients per shift. The hospital operates on 8-hour shifts, and there are always at least two doctors present during any given shift. Determine how many additional doctors should be hired to ensure that 95% of the time, all patients can be seen within their first hour of arrival.\n"} {"instruction": "A chat. A group of friends decides to split the cost of a $200 gift equally among themselves. If three more people join the group and they still want to split the cost equally, the share per person decreases by $5. How many people were initially in the group?"} {"instruction": "A chat. In a certain city, it rains on average 120 days per year. Out of these rainy days, 60% experience thunderstorms. What is the probability that a randomly chosen day from this city will be a rainy day with a thunderstorm?"} {"instruction": "A chat. In a village, there are 20 houses. If every house has at least one cat and the total number of cats in the village is 50, what is the minimum number of houses that have more than one cat?"} {"instruction": "A chat. A hospital is looking to expand its emergency department to accommodate more patients. Currently, the department can handle 150 patients per day, but they want to increase this capacity by 30%. To do so, they need to add more beds, hire additional staff, and purchase new equipment. Estimate the number of beds, nurses, and doctors required for this expansion, considering the current staffing ratios (1 doctor for every 10 patients and 1 nurse for every 5 patients). Also, calculate the approximate cost of purchasing necessary medical equipment, given that each bed requires $20,000 worth of equipment.\n"} {"instruction": "A chat. If a sphere has a volume of 36\u03c0 cubic units, what is its surface area?"} {"instruction": "A chat. If a classroom has 12 boys and 8 girls, how many ways can the teacher select a committee of 5 students with at least 2 girls?"} {"instruction": "A chat. A store sells three types of candies: type X at $5 per pound, type Y at $8 per pound, and type Z at $12 per pound. If a customer buys 3 pounds of type X, 4 pounds of type Y, and 2 pounds of type Z, what is the total cost of the purchase?"} {"instruction": "A chat. A rectangular garden has a length of 15 meters and a width of 10 meters. If a gardener wants to increase the area by 50%, what should be the new dimensions of the garden?"} {"instruction": "A chat. A factory produces 500 units of a product in 8 hours. If the factory operates for 16 hours per day, how many units can it produce in one week (7 days)?"} {"instruction": "A chat. In a zoo, there are 6 lions and 18 zebras. What is the ratio of lions to zebras? Please explain your answer."} {"instruction": "A chat. In a group of people, 60% prefer coffee over tea. If there are 45 people who prefer tea, how many people are in the group?"} {"instruction": "A chat. Calculate the total cost of buying 10 notebooks at $2 each and 5 pens at $1 each, providing step-by-step reasoning.\n"} {"instruction": "A chat. In a town, 60% of the people are adults, and 40% are children. Among the adults, 30% have a pet dog, while among the children, 20% have a pet dog. What percentage of the total population has a pet dog?"} {"instruction": "A chat. A train leaves Town A at 9 AM and travels towards Town B at a constant speed of 60 mph. At the same time, another train leaves Town B and travels towards Town A at a constant speed of 90 mph. The distance between Town A and Town B is 300 miles. At what time will the two trains meet?"} {"instruction": "A chat. A company has two factories that produce widgets. Factory A produces 500 widgets per hour, while Factory B produces 700 widgets per hour. If both factories operate for 8 hours per day, how many widgets do they produce together in one week?"} {"instruction": "A chat. A national park is planning to expand its trail system to accommodate an increasing number of visitors. The current trail network consists of 100 miles of trails, with varying levels of difficulty and accessibility. Park officials want to add another 50 miles of trails while maintaining a balance between easy, moderate, and difficult routes. Determine the optimal distribution of new trails based on visitor preferences, environmental impact, and available resources for trail construction and maintenance.\n"} {"instruction": "A chat. If a factory produces 500 units of product A and 300 units of product B every day, how many total products will be produced in 45 days, assuming the production rate remains constant?"} {"instruction": "A chat. The human heart beats approximately 100,000 times per day. How many times does it beat in one week?"} {"instruction": "A chat. An office has 25 employees. Each employee uses an average of 80 sheets of paper every week. How many sheets of paper does the office use in a year (52 weeks)? Show your work."} {"instruction": "A chat. A train leaves from Station A heading towards Station B, which is 200 miles away. At the same time, another train leaves from Station B heading towards Station A. Train A travels at a speed of 60 mph while Train B travels at a speed of 40 mph. When they meet, which train will be closer to Station A?"} {"instruction": "A chat. A car travels at a constant speed from point A to point B, which are 120 miles apart. The car takes 4 hours to reach point B. On its way back from point B to point A, it takes 6 hours due to heavy traffic. What was the average speed of the car during the entire round trip?"} {"instruction": "A chat. If a farmer has 12 hectares of land and wants to divide it into equal rectangular plots, what are the possible dimensions of these plots?"} {"instruction": "A chat. A train travels between two cities, City A and City B, which are 200 miles apart. The train leaves City A at 10:00 AM and arrives in City B at 1:00 PM. It then leaves City B at 2:00 PM and arrives back in City A at 5:00 PM. What is the average speed of the train for the entire trip?"} {"instruction": "A chat. A factory produces 500 units of product A and 800 units of product B every week. The profit for each unit of product A is $10, while the profit for each unit of product B is $8. How much total profit does the factory make in one month, assuming there are four weeks in a month?"} {"instruction": "A chat. A rectangular garden measures 20 feet by 15 feet. If you want to build a fence around the entire perimeter, how many feet of fencing will you need?"} {"instruction": "A chat. A store sells apples in bags containing 6 apples each. One day, they sold 48 bags of apples. How many individual apples did they sell that day?"} {"instruction": "A chat. If you have a box of chocolates and eat 2 every day until they're gone, and the box lasted you 14 days, how many chocolates were originally in the box? Include your logic."} {"instruction": "A chat. Use the method of cylindrical shells to find the volume of the solid generated by revolving the region bounded by y=x^2 and y=4 about the y-axis."} {"instruction": "A chat. A store sells two types of pens: blue pens for $1.50 each and red pens for $2.00 each. If a customer buys 10 blue pens and 8 red pens, what is the total cost?"} {"instruction": "A chat. If you were to walk around Earth's equator (24,901 miles) at an average speed of 3 miles per hour, how many days would it take to complete the journey?"} {"instruction": "A chat. A snail starts climbing a 10-meter tree. During the day, it climbs 3 meters, but at night, it slides down 2 meters. How many days will it take for the snail to reach the top of the tree?"} {"instruction": "A chat. In a game show, contestants have to choose between three doors. Behind one door is a car, and behind the other two doors are goats. After choosing a door, the host, who knows what's behind each door, opens one of the remaining doors with a goat. The contestant then has the option to switch their choice to the other unopened door or stick with their original choice. What is the best strategy for winning the car - switching or sticking with the original choice?"} {"instruction": "A chat. Determine the area enclosed by the curve y = x^2 and the line y = x + 1."} {"instruction": "A chat. A large hospital wants to improve its emergency response time by adding more ambulances to its fleet. Currently, they have 20 ambulances, each making an average of 10 trips per day. The hospital plans to increase the number of ambulances by 25%, while maintaining the same daily trip frequency. Calculate the total number of ambulance trips made per day after the expansion and estimate the potential improvement in response times based on this information. Explain your reasoning.\n"} {"instruction": "A chat. (4^2 - 3) / (8 + 2 * 6) ="} {"instruction": "A chat. In a room full of people, everyone shakes hands with each other exactly once. If there were a total of 66 handshakes, how many people are in the room?"} {"instruction": "A chat. John reads 10 pages of a book every day. After 5 days, he realizes that he still has 75% of the book left to read. How many pages does the book have in total?"} {"instruction": "A chat. In a class of 30 students, 12 play basketball, 15 play soccer, and 9 play both basketball and soccer. How many students in the class do not play either sport?"} {"instruction": "A chat. A train leaves Station A at 60 mph heading towards Station B. At the same time, another train leaves Station B at 40 mph heading towards Station A. If the distance between the stations is 200 miles, how long will it take for the trains to meet each other?"} {"instruction": "A chat. A cylindrical container with a radius of 5 cm and a height of 20 cm is filled to the brim with water. If all the water is poured into another cylindrical container with a radius of 10 cm, what will be the height of the water in the second container?"} {"instruction": "A chat. A factory produces 500 units of product A every day. Due to increased demand, they decide to increase production by 40%. How many units of product A will they produce daily after the increase?"} {"instruction": "A chat. In a box, there are red balls and blue balls. If you randomly pick two balls without replacement, the probability of getting two red balls is 1/3. How many blue balls are in the box if there are 6 red balls?"} {"instruction": "A chat. In a town, 4 out of every 7 residents own a car. If the town has a population of 14,000, how many people do not own a car? Show your work."} {"instruction": "A chat. It takes 15 minutes to cook 3 eggs in a pan. How long would it take to cook 12 eggs?"} {"instruction": "A chat. If there are 12 black socks and 16 white socks mixed up in a drawer, and the room is completely dark, what is the minimum number of socks you must pull out to ensure that you have at least one matching pair? Explain your reasoning."} {"instruction": "A chat. Prove that the sum of the angles in any triangle is always equal to 180 degrees, providing step-by-step reasoning.\n"} {"instruction": "A chat. A train leaves Town A at 60 mph and heads towards Town B, which is 180 miles away. At the same time, another train leaves Town B at 40 mph and heads towards Town A. When the two trains meet, which train is closer to Town A?"} {"instruction": "A chat. An online retailer is expanding its warehouse capacity to accommodate increased demand. The company plans to build three new warehouses, each with a storage capacity of 500,000 cubic feet. The construction cost for each warehouse is estimated at $15 million. In addition, the company needs to invest in inventory management software and train employees on using the new system. The software license costs $250,000 per year, and training expenses amount to $50,000 per warehouse. Calculate the total investment required for this expansion project and estimate the annual operating costs associated with the new warehouses.\n"} {"instruction": "A chat. A family drinks 2 liters of milk every day. How much milk do they drink in a year? Include your logic."} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the two towns is 120 miles. If the train takes 30 minutes longer to complete the journey when traveling against the wind than it does when traveling with the wind, how fast is the train's speed without considering the effect of the wind?"} {"instruction": "A chat. If a cone has a volume of 200 cubic centimeters and a height of 10 centimeters, what is the radius of its base?"} {"instruction": "A chat. There are 25 horses. What is the minimum number of races needed to find out the fastest 3 horses assuming a race track can hold only five horses at a time?"} {"instruction": "A chat. A cruise line is planning to launch a new ship with a capacity of 3,000 passengers. The ship will operate on 7-day itineraries, with an average ticket price of $1,500 per passenger. Operating expenses are estimated at $2 million per week, including fuel, food, crew salaries, and maintenance. Calculate the annual revenue and profit margin for this new ship, assuming an occupancy rate of 95% and 52 weeks of operation per year.\n"} {"instruction": "A chat. A standard deck of playing cards contains 52 cards, divided into four suits (hearts, diamonds, clubs, and spades), with 13 cards per suit. What is the probability of drawing a pair of cards with the same rank (e.g., two aces, two kings, etc.)?"} {"instruction": "A chat. There are 6 cats in a room. Each cat has 3 kittens. How many legs are there in the room?"} {"instruction": "A chat. A factory produces 250 units of product A and 150 units of product B every day. How many units of both products are produced in one week (assuming 7 days)?"} {"instruction": "A chat. Evaluate the double integral \u222cR (x^2 + y^2) dA, where R is the region bounded by the circle x^2 + y^2 = 4. Show your work.\n"} {"instruction": "A chat. Sarah has twice as many books as Tom. Together, they have 18 books. How many books does Tom have?"} {"instruction": "A chat. A company has an initial investment of $50,000. Each year, its value increases by 8%. How much will the investment be worth after 5 years?"} {"instruction": "A chat. There are 100 people in a room. Half of them have blue eyes, one-third have green eyes, and the rest have brown eyes. How many people have brown eyes?"} {"instruction": "A chat. A factory produces 500 units of product per day. Each unit requires 3 hours of labor. How many hours of labor are required for 10 days of production?"} {"instruction": "A chat. A printer takes 5 minutes to print 10 pages. How long will it take to print 50 pages?"} {"instruction": "A chat. A bag contains 4 red balls, 3 blue balls, and 2 green balls. If you draw three balls from the bag without replacement, what is the probability that you get one ball of each color?"} {"instruction": "A chat. A store sells books for $12 each and magazines for $5 each. If a customer buys a combination of books and magazines worth exactly $100, what are the possible combinations of books and magazines they could have bought?"} {"instruction": "A chat. If a standard deck of playing cards contains 52 cards, what is the probability of drawing a queen from the deck on your first draw?"} {"instruction": "A chat. A city is planning to construct a new public park that will include walking trails, playgrounds, and picnic areas. The total area of the park is 100 acres, with 40% dedicated to walking trails, 30% to playgrounds, and the remaining 30% for picnic areas. Calculate the total length of walking trails if each trail is 10 feet wide, and estimate the number of playgrounds and picnic tables needed based on an average usage rate of one playground per 5000 square feet and one picnic table per 1000 square feet. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding new buses and extending routes. The current fleet consists of 100 buses, each with a capacity of 50 passengers. To accommodate the growing population, the city wants to increase the total passenger capacity by 25%. Additionally, they want to extend the average route length by 20% without reducing the frequency of service. Calculate the number of additional buses needed and the total increase in route miles required, providing step-by-step reasoning.\n"} {"instruction": "A chat. A store sells 5 types of apples and 4 types of oranges. How many different ways can you choose one apple and one orange from this store?"} {"instruction": "A chat. A construction company is planning to build a new residential complex with 500 apartments. The complex will include various amenities such as swimming pools, gyms, and playgrounds. Calculate the total area required for these amenities based on industry standards, taking into account safety regulations and accessibility requirements. Also, estimate the maintenance costs associated with each amenity, considering staffing needs, equipment replacement, and utility expenses.\n"} {"instruction": "A chat. A chemical reaction has a rate constant k = 0.025 min^-1. Calculate the half-life of the reaction, providing step-by-step reasoning.\n"} {"instruction": "A chat. A water tank holds 200 gallons of water. It takes 4 minutes to fill up 25% of the tank. How long will it take to fill up the entire tank?"} {"instruction": "A chat. A major film studio is planning to produce a series of blockbuster movies over the next five years. Each movie has an average production budget of $200 million and is expected to generate $500 million in box office revenue. Calculate the total investment required for this project, as well as the potential return on investment (ROI), considering factors such as marketing costs, distribution fees, and merchandise sales.\n"} {"instruction": "A chat. A factory produces 500 units of a product per day. Due to increased demand, they decide to increase production by 5% every week. How many units will they produce on the 4th week?"} {"instruction": "A chat. A factory produces 500 units of product per day and sells them for $10 each. The factory has fixed costs of $2,000 per day and variable costs of $4 per unit produced. What is the daily profit of the factory?"} {"instruction": "A chat. Determine the pH of a solution with a hydrogen ion concentration of 1 x 10^-5 M. Explain your calculations.\n"} {"instruction": "A chat. In a village, 60% of the population are vegetarians. Out of the non-vegetarian population, 30% are pescatarians (eat fish but not meat). What percentage of the total population are pescatarians?"} {"instruction": "A chat. A group of people is planning a trip and they need to rent cars. Each car can hold up to 5 passengers. If there are 27 people going on the trip, how many cars do they need to rent?"} {"instruction": "A chat. A city's public transportation system includes buses and trains. The city wants to increase ridership by 25% over the next three years by improving service frequency and capacity. Currently, there are 500 buses with a maximum capacity of 50 passengers each and 200 train cars with a maximum capacity of 100 passengers each. Determine how many additional buses and train cars the city needs to acquire to achieve their ridership goal, assuming equal increases in both modes of transportation.\n"} {"instruction": "A chat. A class has 12 students, including John and Jane. The teacher randomly selects 5 students to present their projects today. What is the probability that both John and Jane will be among those selected? Explain your thought process."} {"instruction": "A chat. In a village, there are 20 houses. If every house has at least one cat and no two cats in the village have the same number of kittens, what is the maximum number of kittens that can be born in the village?"} {"instruction": "A chat. If you could fold a standard sheet of paper (0.1 millimeters thick) in half 50 times, how thick would the folded stack be?"} {"instruction": "A chat. A bag contains 5 red balls, 3 blue balls, and 2 green balls. You draw two balls at random without replacement. What is the probability that both balls are the same color?"} {"instruction": "A chat. A company produces two types of products, A and B. The profit for product A is $50 per unit, while the profit for product B is $80 per unit. If the company produces 500 units of product A and 300 units of product B, what is their total profit?"} {"instruction": "A chat. (8 * 4) / (2^3) - 5 ="} {"instruction": "A chat. John has twice as many sisters as brothers. His sister Julia has only half as many sisters as brothers. How many sons and daughters do their parents have? Provide step-by-step logic."} {"instruction": "A chat. A company sells two types of products, A and B. Product A has a profit margin of 30% and product B has a profit margin of 50%. If the company sells 200 units of product A and 100 units of product B, and each unit of product A costs $40 while each unit of product B costs $60, what is the total profit from the sales of both products?"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 12 meters. If you want to build a walkway around the garden with a uniform width of 2 meters, what will be the area of the walkway?"} {"instruction": "A chat. If a factory produces 500 units of product A per day and 300 units of product B per day, how many total units are produced in 15 days?"} {"instruction": "A chat. A cruise line is planning to launch a new luxury ship with a capacity of 2,000 passengers. The construction cost for the ship is $800 million, and the company expects to generate an average revenue of $4,000 per passenger per cruise. The ship will operate 20 cruises per year, with each cruise lasting two weeks. Calculate the number of years it will take for the company to recover its initial investment in the new ship.\n"} {"instruction": "A chat. A city is planning to build a new public transportation system that includes buses, trains, and trams. The total budget for the project is $500 million. The cost of constructing each bus station is $2 million, each train station costs $10 million, and each tram station costs $5 million. Additionally, the city needs to allocate funds for purchasing vehicles: $300,000 per bus, $2 million per train, and $1 million per tram. Determine the optimal number of stations and vehicles for each mode of transportation within the given budget, considering that the city wants to maximize coverage while maintaining an equal distribution between the three modes.\n"} {"instruction": "A chat. A factory produces 200 widgets in an 8-hour workday. If the factory operates 24 hours a day and increases production by 50% during the night shift, how many widgets are produced in one day?"} {"instruction": "A chat. In a classroom, there are 20 students. Every student shakes hands with every other student once. How many handshakes happen in total? Provide step-by-step logic."} {"instruction": "A chat. An amusem*nt park wants to create a new roller coaster ride that lasts for 3 minutes. The roller coaster has a maximum capacity of 30 riders per run. On average, it takes 5 minutes to load and unload passengers between runs. Calculate the maximum number of riders the roller coaster can accommodate in an 8-hour operating day. Additionally, consider a ticket price of $10 per rider and estimate the daily revenue generated by the ride. Explain your calculations.\n"} {"instruction": "A chat. If a spherical ball has a diameter of 6 inches, what is its volume in cubic inches?"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B every week. Product A requires 2 hours of labor per unit, while product B requires 3 hours of labor per unit. If the hourly wage for labor is $15, what is the total weekly cost of labor for producing both products?"} {"instruction": "A chat. A company has a budget of $5,000 for employee bonuses. If there are 25 employees and each employee receives an equal share of the bonus pool, how much money does each employee receive as a bonus?"} {"instruction": "A chat. A store sells 5 different types of candy. Each type of candy has a different price per pound: $4, $6, $8, $10, and $12. If the store sells an equal amount of each type of candy (in pounds) in a month, and the total revenue from candy sales is $9,600, how many pounds of each type of candy were sold?"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B per day. If each unit of product A sells for $20 and each unit of product B sells for $30, what is the total revenue generated by the factory in one day?"} {"instruction": "A chat. A farmer has a rectangular field with a length of 120 meters and a width of 80 meters. He wants to build a fence around the entire field but needs to leave a gap of 5 meters on each side for entry and exit. What is the total length of the fence required?"} {"instruction": "A chat. In a class of 25 students, there are 5 more girls than boys. How many boys and girls are in the class?"} {"instruction": "A chat. A football team won 75% of its games last season. If they played 32 games, how many games did they win? Show your steps."} {"instruction": "A chat. If you were to walk around Earth at the equator without stopping, how long would it take?"} {"instruction": "A chat. In a box, there are 12 apples, 18 oranges, and 24 bananas. You randomly pick out 6 fruits from the box without looking. What is the minimum number of oranges you must have picked? Explain your reasoning."} {"instruction": "A chat. In a bag, there are 5 red balls, 7 blue balls, and 8 green balls. If you randomly pick one ball from the bag without looking, what is the probability of picking a red or a blue ball?"} {"instruction": "A chat. In a village, there are 50 houses. Each house has a dog and each dog has 4 legs. One day, the mayor decides to give away 10 dogs to another village. How many legs do the remaining dogs have in total?"} {"instruction": "A chat. A car travels 300 miles on a full tank of gas. If the tank holds 12 gallons, what is the car's fuel efficiency in miles per gallon?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed of 60 mph. The distance between the two cities is 180 miles. If the train leaves City A at 2:00 PM, what time will it arrive in City B?"} {"instruction": "A chat. The Earth has a circumference of approximately 24,901 miles. How many times would you need to walk around the Earth to cover a total distance of 100,000 miles?"} {"instruction": "A chat. A bus leaves from station A and arrives at station B after 3 hours. The distance between the two stations is 180 miles. If the bus travels at a constant speed, how many minutes will it take for the bus to travel half the distance?"} {"instruction": "A chat. A hospital wants to implement a new telemedicine program to improve patient access to healthcare services. The program requires an initial investment of $1 million for infrastructure setup and training. Additionally, there will be ongoing operational costs of $300,000 per year. The hospital expects that the program will generate revenue of $600,000 per year. Determine the break-even point for the telemedicine program, considering both the initial investment and the annual net income (revenue minus operational costs). Explain your reasoning.\n"} {"instruction": "A chat. If a company produces 1000 units of a product and sells them for $50 each, what is the total revenue? Additionally, if their production cost per unit is $30, what is their profit?"} {"instruction": "A chat. A man invests $5,000 in a savings account with an annual interest rate of 4%. How much money will he have in the account after 6 years if the interest is compounded annually?"} {"instruction": "A chat. In a group of 60 people, 40% are vegetarians. If 3 more people become vegetarians, what percentage of the group will be vegetarian?"} {"instruction": "A chat. Two cars start driving towards each other from opposite ends of a straight road. Car A starts at point X and travels at a constant speed of 40 miles per hour. Car B starts at point Y and travels at a constant speed of 60 miles per hour. The distance between points X and Y is 500 miles. How long will it take for the two cars to meet?"} {"instruction": "A chat. A jar contains black and white marbles. If there are 30 marbles in total and the ratio of black to white marbles is 2:3, how many black marbles are there? Show your work."} {"instruction": "A chat. A bee enters an open window, flies around for a while, then leaves through the same window. Is there more air in the room after the bee leaves, less air, or the same amount? Explain your reasoning."} {"instruction": "A chat. A rectangular garden has a length of 20 feet and a width of 15 feet. If you want to build a fence around the garden with an additional 5 feet on each side, what is the perimeter of the fenced area?"} {"instruction": "A chat. A company produces three types of products: A, B, and C. The profit per unit for product A is $20, for product B is $30, and for product C is $40. If the company sells 100 units of product A, 150 units of product B, and 200 units of product C in one month, what is their total profit for that month?"} {"instruction": "A chat. Calculate the sum of the infinite geometric series with a_1 = 4 and r = 1/3."} {"instruction": "A chat. A store sells oranges in bags containing 6 oranges each. If a customer buys 5 bags, how many oranges do they have in total?"} {"instruction": "A chat. A store sells apples in bags containing 8 apples each. If a customer wants to buy 56 apples, how many bags should they purchase?"} {"instruction": "A chat. Design an algorithm for solving the traveling salesman problem using dynamic programming techniques. Provide step-by-step instructions and discuss the time complexity of your solution."} {"instruction": "A chat. A zoo is planning to expand its facilities to include a new exhibit featuring large mammals. The expansion will require an additional 5 acres of land, which will house animals such as elephants, giraffes, and rhinoceroses. The zoo expects a 30% increase in visitors after the expansion. Calculate the additional revenue that can be generated from ticket sales, considering factors like seasonal fluctuations in visitor numbers and average spending per visitor on food and souvenirs. Provide step-by-step reasoning.\n"} {"instruction": "A chat. It takes 8 hours to fill a swimming pool using a single hose. How long would it take to fill the same pool using four hoses, assuming all hoses have the same flow rate? Include your logic."} {"instruction": "A chat. How many different ways can a committee of 4 people be selected from a group of 12 people?"} {"instruction": "A chat. A film production company is planning to shoot a movie in various locations around the world. The cast and crew consist of 50 people who need to travel between locations. The average cost of airfare per person is $1000, and accommodation costs are $150 per person per night. The shooting schedule includes 5 different locations, with each location requiring an average of 20 days of filming. Calculate the total travel and accommodation expenses for the entire production, considering that there will be one day of travel between each location.\n"} {"instruction": "A chat. How much water does an Olympic-sized swimming pool contain in gallons?"} {"instruction": "A chat. There are five people in a room, each person shakes hands with every other person once. How many handshakes happen in total? Show your work."} {"instruction": "A chat. A city's water department needs to replace its aging water pipes. There are 200 miles of pipe throughout the city, with an estimated replacement cost of $1 million per mile. However, not all pipes need immediate replacement; some have a remaining useful life of up to 10 years. Develop a prioritized replacement plan based on factors such as pipe age, material, condition, and criticality to the water system. Explain your reasoning and provide a timeline for the project.\n"} {"instruction": "A chat. In an election, candidate A received 60% of the votes, while candidate B received the remaining 40%. If candidate A won by 3000 votes, what was the total number of votes cast in the election?"} {"instruction": "A chat. A factory produces 2000 units of a product every day. If each unit sells for $15 and the production cost per unit is $10, what is the total profit made by the factory in one month (assuming 30 days)?"} {"instruction": "A chat. A telecommunications company is planning to upgrade its network infrastructure to support 5G technology. The company currently has 10,000 cell towers and needs to install new antennas on each tower at a cost of $20,000 per antenna. Additionally, they need to invest in fiber-optic cables, which cost $1,000 per mile for a total of 50,000 miles. Calculate the total investment required for this project, as well as the expected increase in data transmission speeds and coverage area.\n"} {"instruction": "A chat. A book has 300 pages. If you read 20 pages per day, how many days will it take to finish the book? Show your work."} {"instruction": "A chat. A farmer has a rectangular field with a length of 300 meters and a width of 200 meters. He wants to plant corn on 60% of the field and wheat on the remaining area. How many square meters will be used for planting each crop?"} {"instruction": "A chat. If five machines can make five widgets in five minutes, how long would it take 100 machines to make 100 widgets? Reason step-by-step."} {"instruction": "A chat. A family drinks 2 gallons of milk each week. How many gallons of milk do they drink in a year? Walk me through your thinking."} {"instruction": "A chat. A factory produces 200 units of product A every hour. The factory operates 16 hours a day, 5 days a week. How many units of product A are produced in a month with 4 weeks?"} {"instruction": "A chat. A farmer has ducks and cows on his farm. He counts a total of 30 heads and 80 legs among all the animals. How many ducks does he have?"} {"instruction": "A chat. A car travels at an average speed of 60 miles per hour for 4 hours. How far does it travel during this time? Provide your reasoning.\n"} {"instruction": "A chat. In a group of friends, Tom is taller than Jerry but shorter than Harry. If Ben is taller than Jerry but shorter than Tom, who is the tallest among them?"} {"instruction": "A chat. A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. Is this triangle a right-angled triangle?"} {"instruction": "A chat. If a company has a revenue of $200,000 and its expenses are $150,000, what is the profit margin as a percentage?"} {"instruction": "A chat. A train travels at an average speed of 80 kilometers per hour and takes 7 hours to reach its destination. How many kilometers does it travel in total?"} {"instruction": "A chat. If a factory produces 500 units of product A and 300 units of product B per day, how many days will it take to produce a total of 10,000 units, given that the factory operates 6 days a week?"} {"instruction": "A chat. If a person consumes 2000 calories per day, how many calories would they consume in one year, considering a leap year?"} {"instruction": "A chat. A farmer has a rectangular field with a length of 200 meters and a width of 150 meters. He wants to divide the field into equal square plots for planting different crops. What is the largest possible size of each square plot, and how many such plots can he create?"} {"instruction": "A chat. In a village, there are 20 houses and each house has at least one cat. If the total number of cats in the village is 100, what is the minimum number of cats that must be in at least one house?"} {"instruction": "A chat. Tom reads 20 pages of a book in 30 minutes. How long will it take him to read a 200-page book at the same pace? Show your work."} {"instruction": "A chat. A box contains 4 red balls and 6 green balls. You randomly draw one ball from the box, look at its color, and then put it back in the box. If you do this process three times, what is the probability that you will see exactly two red balls?"} {"instruction": "A chat. A store sells 4 types of cookies: chocolate chip, oatmeal, sugar, and peanut butter. If you want to buy exactly 12 cookies with at least one of each type, how many different combinations can you choose?"} {"instruction": "A chat. There are 50 red balls and 50 blue balls in a bag. What is the minimum number of balls you must take out of the bag without looking to guarantee that you have at least 10 balls of the same color?"} {"instruction": "A chat. A factory produces 1000 units of product A and 2000 units of product B every day. If each unit of product A weighs 5 pounds and each unit of product B weighs 10 pounds, how many pounds of products does the factory produce in one week?"} {"instruction": "A chat. In a game, you have a 1/3 chance of winning $15, a 1/4 chance of winning $25, and a 1/12 chance of winning $50. What is your expected value from playing the game once?"} {"instruction": "A chat. In a classroom, there are 15 boys and 10 girls. Each student has a bag. Inside each bag, there are 5 books. How many books are there in total? Please explain your reasoning."} {"instruction": "A chat. A book has 200 pages. If you read 20 pages per day, how many days would it take to finish the book? Explain step-by-step."} {"instruction": "A chat. A box contains 3 red balls and 7 blue balls. If you draw two balls at random without replacement, what is the probability that both are red?"} {"instruction": "A chat. Prove or disprove: For all integers n, n^2 + n + 41 is prime."} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 km/h. The distance between the two towns is 180 km. After reaching Town B, the train immediately returns to Town A but travels at a slower speed of 40 km/h. What is the average speed of the entire round trip?"} {"instruction": "A chat. A train travels from Town A to Town B in 5 hours. The distance between the towns is 250 miles. If the train stops at Station C halfway between the towns for 1 hour, what is the average speed of the train during its journey?"} {"instruction": "A chat. A box contains 20 apples and 15 oranges. If I randomly pick one fruit without looking, what is the chance that it is not an apple? Explain your thought process."} {"instruction": "A chat. There are 10 people in a room, including you. Each person knows exactly 3 secrets, but no two people share all three secrets. What is the minimum number of unique secrets in the room?"} {"instruction": "A chat. A train leaves Station A at 60 mph heading towards Station B. At the same time, another train leaves Station B at 80 mph heading towards Station A. The distance between the two stations is 280 miles. When do the trains meet?"} {"instruction": "A chat. A company has an annual budget of $1,200,000 for employee salaries. If there are 50 employees, what is the average salary per employee? Additionally, if the CEO's salary is $300,000, what is the average salary for the remaining employees?"} {"instruction": "A chat. Solve: ((4^2 - 3 * 5) + 7) / 2 ="} {"instruction": "A chat. If a car travels at an average speed of 55 miles per hour for 4.5 hours, how far does it travel?"} {"instruction": "A chat. In a small town, there are 10 houses on one side of the street and 15 houses on the other side. Every house has a unique color. If each house owner can only paint their house once every year, how many times will the houses be painted in total after 3 years?"} {"instruction": "A chat. A factory produces 500 units of a product per day, and each unit requires 3 pounds of raw material. If the factory operates for 25 days in a month, how many pounds of raw material are needed for the entire month?"} {"instruction": "A chat. A man gave his three sons $1000 each to invest in anything they wanted. The first son invested in stocks and doubled his money. The second son invested in bonds and tripled his money. The third son invested in real estate and quadrupled his money. They decided to give their father back the initial investment of $1000 each. How much money do the sons have left after returning the initial investment to their father?"} {"instruction": "A chat. A company has a revenue of $150,000 and expenses totaling $100,000. What is their profit?"} {"instruction": "A chat. In a classroom, there are 20 students. Each student has exactly 3 friends. How many friendships exist among these students?"} {"instruction": "A chat. A city is planning to construct a new public park with various amenities, including playgrounds, sports fields, and walking trails. The total area of the park is 100 acres, with 40% allocated for green spaces, 30% for sports facilities, and the remaining 30% for other amenities. Calculate the number of trees needed to be planted in the green spaces if the city aims to have one tree per 500 square feet. Also, estimate the cost of constructing the sports facilities, given that each facility costs $50,000 on average.\n"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 mph. It takes 3 hours for the train to reach Town B. After a 30-minute stop at Town B, it returns to Town A at a constant speed of 90 mph. What is the average speed of the entire round trip?"} {"instruction": "A chat. In a room, there are 4 people who speak English and 5 people who speak French. If you randomly select two people from the room to have a conversation, what is the probability that they can communicate with each other in either English or French?"} {"instruction": "A chat. Determine the Nash equilibrium in the prisoner's dilemma game."} {"instruction": "A chat. In a classroom, there are 15 students. Six students wear glasses, and nine students do not wear glasses. If you randomly select three students from the class, what is the probability that exactly two of them wear glasses?"} {"instruction": "A chat. A book club has 15 members. Each member reads 2 books per month. How many books does the entire club read in a year? Explain your reasoning."} {"instruction": "A chat. If a car rental company has a fleet of 500 cars and rents out 75% of them every day, how much revenue does the company generate in one month if each car is rented at $50 per day?"} {"instruction": "A chat. A car rental company charges a flat fee of $20 per day for renting a car, plus an additional 15 cents per mile driven. If a customer rents a car and drives it for 120 miles, what will be their total cost?"} {"instruction": "A chat. A movie theater has 10 screens and an average seating capacity of 150 seats per screen. If the theater has a 65% occupancy rate on average and charges $12 per ticket, how much revenue does the theater generate in one day?"} {"instruction": "A chat. If a fair coin is flipped 100 times, what is the probability of getting exactly 50 heads?"} {"instruction": "A chat. How much water is used in an average household per day if each person uses 80 gallons of water daily and there are four people living in the house?"} {"instruction": "A chat. If a plane travels at an average speed of 550 miles per hour and needs to cover a distance of 2,750 miles, how long will the flight take?"} {"instruction": "A chat. In a family, there are 3 daughters and each daughter has 2 brothers. The father has as many sons as he has daughters. How many children does the mother have?"} {"instruction": "A chat. A bag contains 6 green marbles, 4 yellow marbles, and 10 blue marbles. If you randomly pick one marble from the bag, what is the probability that it is not green?"} {"instruction": "A chat. There are 5 boxes, each containing either apples or oranges. Box A has twice as many fruits as Box B. Box C has half as many fruits as Box A. Box D has three times as many fruits as Box C. Finally, Box E has the same number of fruits as Box B. If there are a total of 62 fruits, how many fruits does Box C contain?"} {"instruction": "A chat. A company sells products at a 20% profit margin. If they sell an item for $120, what was their cost to produce it?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 10 feet and a height of 15 feet. What is its volume in gallons?"} {"instruction": "A chat. A factory produces 1500 units of a product every day. Each unit requires 8 minutes of labor time. How many hours of labor are required per week to produce these units?"} {"instruction": "A chat. Given a continuous function g(x) defined on [a, b], prove that there exists a point c in [a, b] such that g(c) = (g(a) + g(b))/2."} {"instruction": "A chat. A large corporation wants to improve its employee wellness program by offering free gym memberships to all employees. There are currently 5,000 employees in the company, with an average salary of $60,000 per year. Gym memberships cost $500 per year per employee. Calculate the total annual cost of providing these memberships and compare it to the potential savings from reduced healthcare costs and increased productivity if regular exercise leads to a 5% reduction in sick days taken.\n"} {"instruction": "A chat. A factory produces 150 widgets per hour. Due to increased demand, they decide to increase production by 20%. How many widgets will they produce in a 10-hour workday after the increase?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 miles per hour. Halfway through the journey, it stops for 30 minutes due to a technical issue. What is the total travel time if the distance between Town A and Town B is 120 miles?"} {"instruction": "A chat. In a room, there are 10 people. Each person has an equal number of friends among the others in the room. If we remove one person from the room, how many friends does each remaining person have now?"} {"instruction": "A chat. You have $50. You buy 3 books costing $12 each. How much money do you have left? Provide reasoning."} {"instruction": "A chat. If I read 30 pages of a book every day, how many pages will I have read after two weeks? Explain your thought process."} {"instruction": "A chat. Solve for x: 4x - 7 = 15"} {"instruction": "A chat. A company has 5 employees and wants to give each employee a bonus. If the total amount of money available for bonuses is $1,500, how much will each employee receive if they all get an equal share?"} {"instruction": "A chat. A square garden has an area of 144 square meters. The gardener wants to build a fence around the garden but only has enough materials for 40 meters of fencing. Can he enclose the entire garden?"} {"instruction": "A chat. If a store sells apples at $1.50 per pound and oranges at $2.00 per pound, how much would it cost to buy 7 pounds of apples and 5 pounds of oranges?"} {"instruction": "A chat. A store sells two types of pens: blue pens at $1.50 each and red pens at $2.00 each. If a customer buys a total of 15 pens and spends exactly $25, how many of each type of pen did they buy?"} {"instruction": "A chat. A rectangular room has an area of 180 square feet and a perimeter of 54 feet. What are the dimensions of the room?"} {"instruction": "A chat. A factory produces 200 widgets every hour. How many widgets will be produced in 1 week if the factory operates 24 hours a day?"} {"instruction": "A chat. If a car rental company has 120 cars and rents out 75% of them on a given day, how much income will they generate if each rented car brings in $50 per day?"} {"instruction": "A chat. A store sells apples for $1.50 each and oranges for $0.75 each. If someone buys 6 apples and 12 oranges, what is the total cost before tax?"} {"instruction": "A chat. A baker makes 12 loaves of bread every hour. If the bakery is open for 8 hours a day, how many loaves does the baker make in a week? Show your work."} {"instruction": "A chat. Solve: 5(3x - 2) + 4 = 7(x + 6)"} {"instruction": "A chat. If a farmer has 50 acres of land and wants to plant corn on 60% of the land, how many acres will be used for planting corn?"} {"instruction": "A chat. A group of friends wants to split a pizza evenly among themselves. The pizza has 16 slices. If each person gets an equal number of slices, what is the maximum number of people that can be in the group?"} {"instruction": "A chat. Calculate the area of a triangle with base 10 cm and height 15 cm, providing step-by-step reasoning.\n"} {"instruction": "A chat. A water tank can hold 500 gallons of water. If a faucet fills the tank at a rate of 4 gallons per minute, how long will it take to fill the tank completely?"} {"instruction": "A chat. A store sells 3 types of candy bars: small, medium, and large. The small candy bar costs $1, the medium candy bar costs $2, and the large candy bar costs $3. If a customer buys 4 small, 5 medium, and 6 large candy bars, how much do they spend in total?"} {"instruction": "A chat. There are 4 boxes labeled \"Apples,\" \"Oranges,\" \"Both,\" and \"Empty.\" Each box contains either apples or oranges, but all the labels are incorrect. How many boxes do you need to open to correctly label all the boxes?"} {"instruction": "A chat. A store offers a discount on bulk purchases of apples. If you buy 10 or more apples, each apple costs $1.20. If you buy fewer than 10 apples, each apple costs $1.50. How many apples must be purchased to save at least $5 with the bulk discount?"} {"instruction": "A chat. Calculate the derivative of the function f(x) = x^3 - 6x^2 + 9x + 1, providing step-by-step reasoning.\n"} {"instruction": "A chat. A snail starts climbing up a 10-meter tree at a constant speed. It takes the snail 5 days to reach halfway up the tree. How long does it take for the snail to climb the entire tree if it continues at the same pace?"} {"instruction": "A chat. A cylindrical container has a radius of 5 cm and a height of 10 cm. If it is filled with water up to 8 cm, what percentage of the container's volume is filled?"} {"instruction": "A chat. A car rental company charges a flat fee of $25 per day plus an additional 15 cents per mile driven. If you rent a car for 3 days and drive it for 150 miles, how much will the total cost be?"} {"instruction": "A chat. A factory produces 200 units of product per day at a cost of $10 per unit. The factory has fixed costs of $1,000 per day. If each unit is sold for $15, what is the daily profit?"} {"instruction": "A chat. If you flip a coin twice, what is the probability of getting heads both times?"} {"instruction": "A chat. If you had a cube with a side length of 10 inches, what would be its volume in cubic feet?"} {"instruction": "A chat. There are 5 apples and 7 oranges in a basket. John takes out 3 apples and 4 oranges from the basket. How many fruits does he have now?"} {"instruction": "A chat. A restaurant sells two types of sandwiches - type X and type Y. The profit margin on each type X sandwich is $4, while the profit margin on each type Y sandwich is $6. If the restaurant sold a total of 100 sandwiches and made a total profit of $480, how many of each type of sandwich were sold?"} {"instruction": "A chat. Determine the surface area of a sphere with a radius of 6 inches, providing step-by-step reasoning.\n"} {"instruction": "A chat. If a company produces 1500 units of a product every day, and the demand for the product increases by 5% each month, how many units will be demanded after one year?"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 15 meters. If a gardener wants to plant flowers along the perimeter of the garden, how many meters of flower bed will they need?"} {"instruction": "A chat. A factory produces 1200 widgets per day. Each widget is tested for quality, and it's found that 5% of them are defective. The factory decides to discard all defective widgets and sell the rest in packs of 10. How many packs can they sell?"} {"instruction": "A chat. Determine the steady-state temperature distribution in a rectangular plate with given boundary conditions."} {"instruction": "A chat. A rectangular room measures 15 feet by 20 feet. If you want to cover the entire floor with square tiles that are each 1 foot by 1 foot, how many tiles will you need?"} {"instruction": "A chat. If a sequence of numbers follows the pattern 3, 9, 27, 81,..., what is the 8th term in this sequence?"} {"instruction": "A chat. A square has an area of 64 square units. What is the length of the diagonal of the square?"} {"instruction": "A chat. If a factory produces 500 units of a product every day and operates 6 days a week, how many units are produced in 4 weeks?"} {"instruction": "A chat. Three people are standing in a straight line facing forward. Person A is behind person B, who is behind person C. If person A can see person B, and person B can see person C, does that mean person A can see person C?"} {"instruction": "A chat. Three friends - Alice, Bob, and Carol - have different numbers of apples. Alice has more apples than Bob, and Carol has fewer apples than Bob. If the sum of their apples is 17, what is the minimum number of apples that Alice could have?"} {"instruction": "A chat. A publishing company wants to print a limited edition book that will have a total of 500 pages, including illustrations and text. The printing process involves three stages: manuscript preparation (which takes 2 hours per page), illustration creation (which takes 4 hours per illustration), and final layout design (which takes 1 hour per page). The company has a team of 5 editors, 3 illustrators, and 2 layout designers, all working 8-hour days. Calculate the total time required to complete the project, assuming each team member works at a constant pace and no additional resources are added."} {"instruction": "A chat. A shipping company wants to optimize its cargo distribution among its fleet of ships. The company has five different types of ships, with capacities ranging from 10,000 tons to 50,000 tons. The company needs to transport 200,000 tons of cargo, and the cost per ton varies depending on the ship's size. Determine the optimal distribution of cargo among the ships to minimize the overall cost, providing step-by-step reasoning.\n"} {"instruction": "A chat. There are 50 red balls and 50 blue balls in a box. You randomly pick one ball out of the box and then put it back. What is the probability that you picked a red ball three times in a row?"} {"instruction": "A chat. A grocery store chain is analyzing its sales data to optimize inventory management. They have identified five categories of products: perishable goods, non-perishable goods, frozen items, beverages, and household items. Each category has different storage requirements, shelf life, and profit margins. Develop a method to determine the optimal inventory levels for each category, taking into account factors such as demand, lead time, and holding costs. Explain your reasoning.\n"} {"instruction": "A chat. In a room, there are 10 people who speak English, 8 people who speak French, and 12 people who speak Spanish. If you randomly select 3 people from the room, what is the probability that all 3 of them speak different languages?"} {"instruction": "A chat. A factory produces 500 units of a product every day. If each unit is sold for $10 and the daily production cost is $3,000, what is the profit made by the factory after 7 days?"} {"instruction": "A chat. There are 7 red balls and 5 blue balls in a bag. If you randomly pick one ball from the bag, replace it, and then pick another ball, what is the probability that both balls picked are red?"} {"instruction": "A chat. In a bag containing red and blue marbles, the ratio of red marbles to blue marbles is 3:7. If there are 30 red marbles, how many blue marbles are there?"} {"instruction": "A chat. A gardener plants 10 trees in a row, with each tree being either an apple or a pear tree. If no two apple trees can be next to each other, what is the maximum number of apple trees the gardener can plant?"} {"instruction": "A chat. A group of 5 friends wants to buy concert tickets that cost $60 each. However, they find out there is a special offer where if they buy 4 tickets, they get the 5th one for free. How much money will they save with this special offer compared to buying individual tickets?"} {"instruction": "A chat. Show that the function h(x) = x^3 - 6x^2 + 9x is increasing for x > 3"} {"instruction": "A chat. A hotel chain is analyzing the performance of its loyalty program, which offers members one free night for every ten nights booked. The chain has 500 hotels worldwide, with an average of 200 rooms per hotel. On any given night, 70% of the rooms are occupied by loyalty program members. Calculate the total number of free nights redeemed annually and estimate the impact on the company's revenue, considering factors such as increased bookings from loyal customers and potential loss of revenue from non-members.\n"} {"instruction": "A chat. It takes 3 hours to paint a room using one painter. How long will it take to paint four rooms of the same size?"} {"instruction": "A chat. Prove that a compact set in a metric space is sequentially compact."} {"instruction": "A chat. If a car drives at an average speed of 50 mph for 2 hours and then at an average speed of 70 mph for another 3 hours, what is its total distance traveled?"} {"instruction": "A chat. A factory produces 500 units of product A every day. How many units are produced in a month with 30 days?"} {"instruction": "A chat. An airline company is analyzing the profitability of its routes between two cities. They operate three flights per day on this route, using planes with different capacities: Flight A has 150 seats, Flight B has 200 seats, and Flight C has 250 seats. The average ticket price for each flight is $100, $120, and $140 respectively. Determine the daily revenue generated by each flight and calculate the overall daily revenue for all three flights combined. Also, estimate the monthly revenue assuming a constant demand and no fluctuations in ticket prices. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a city, there are 4 times as many pigeons as people. If there are 20,000 people, how many pigeons are there? Provide step-by-step logic."} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the towns is 120 miles. If the train leaves Town A at 1 PM and arrives in Town B at 4 PM, what is its average speed during the trip?"} {"instruction": "A chat. In how many ways can a committee of 3 people be formed from a group of 10 people?"} {"instruction": "A chat. If a car factory produces 15 cars per hour and operates for 10 hours a day, how many cars will be produced in one week?"} {"instruction": "A chat. A train travels 100 miles in 2 hours. If the train continues at the same speed, how long will it take to travel an additional 150 miles?"} {"instruction": "A chat. In an election, candidate A received 45% of the votes, while candidate B received 35%. The remaining votes were split between two independent candidates. If candidate A won by a margin of 4500 votes, how many total votes were cast in the election?"} {"instruction": "A chat. A train leaves Station A at 6 PM traveling at 60 mph towards Station B. Another train leaves Station B at 7 PM traveling at 80 mph towards Station A. The distance between the stations is 420 miles. At what time will the trains meet?"} {"instruction": "A chat. In a town, there are 3 doctors and 4 lawyers. Each doctor has 2 assistants, and each lawyer has 3 assistants. If one of the doctors is also a lawyer, how many people in total work as professionals (doctors, lawyers) or their assistants?"} {"instruction": "A chat. A company has 50 employees who work 8 hours a day, 5 days a week. How many total man-hours does the company accumulate in one month (assume 4 weeks)?"} {"instruction": "A chat. In a class of 30 students, 18 play basketball, 20 play soccer, and 22 play baseball. If each student plays at least one sport, what is the minimum number of students who play all three sports? Provide step-by-step logic."} {"instruction": "A chat. A bag contains 4 red balls and 6 blue balls. If you draw 3 balls at random without replacement, what is the probability that exactly 2 of them are red?"} {"instruction": "A chat. A large supermarket chain plans to expand its operations by opening 50 new stores across the country over the next three years. Each store requires an initial investment of $2 million for construction and equipment, and ongoing operating expenses are estimated at $500,000 per store per year. Calculate the total investment required for this expansion plan, and determine the expected annual revenue needed to achieve a 15% return on investment, providing step-by-step reasoning.\n"} {"instruction": "A chat. A company produces 1000 widgets per day. It sells each widget for $50. What would be the company's revenue in a month (30 days)? Show your work."} {"instruction": "A chat. In a deck of 52 playing cards, what is the probability of drawing a face card (jack, queen, or king) or a red card?"} {"instruction": "A chat. In a town, 1/3 of the people have dogs, and 2/5 of the people have cats. If there are 60 people in the town, how many people do not own either a dog or a cat?"} {"instruction": "A chat. A factory produces 1200 units of product A and 800 units of product B every day. The profit per unit for product A is $3, while the profit per unit for product B is $4. What is the total profit generated by the factory after 30 days?"} {"instruction": "A chat. A bottle holds 500 ml of water. How many such bottles would be needed to fill up a tank that can hold 50 liters of water? Show your steps."} {"instruction": "A chat. A factory produces 500 units of Product X every day. Each unit requires 3 hours of labor to produce. If the factory operates 8 hours a day and employs 125 workers, how many additional workers are needed to meet the production target?"} {"instruction": "A chat. In a family of six children, each child has exactly one brother. How many girls are in the family?"} {"instruction": "A chat. In a certain city, 40% of the population are children, 35% are adults, and the remaining 25% are senior citizens. If there are 240,000 people in the city, how many more adults are there than children?"} {"instruction": "A chat. There are two boxes with apples and oranges. Box A contains 10 apples and 20 oranges, while Box B contains 15 apples and 5 oranges. If you randomly pick one fruit from each box, what is the probability that both fruits are of the same type?"} {"instruction": "A chat. There are 100 employees in a company. Each employee sends an email to every other employee once. How many emails were sent in total? Show your reasoning."} {"instruction": "A chat. A large hotel chain wants to analyze the efficiency of their housekeeping staff. They have data on the average time it takes to clean each type of room: standard rooms take 25 minutes, suites take 45 minutes, and penthouses take 1 hour. The hotel has 200 standard rooms, 50 suites, and 10 penthouses. If the housekeeping staff works 8-hour shifts and there are 20 staff members working each shift, determine the maximum number of rooms that can be cleaned during one shift, assuming equal distribution of work among all staff members.\n"} {"instruction": "A chat. If you have a cylindrical container with a radius of 3 inches and a height of 8 inches, what is its volume in cubic inches?"} {"instruction": "A chat. Find the area enclosed by the polar curve r = 4sin(\u03b8)."} {"instruction": "A chat. In a group of 30 people, everyone shakes hands with each other exactly once. How many total handshakes occurred?"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour. It makes a stop for 15 minutes at a station, and then continues its journey at an average speed of 80 miles per hour until it reaches its destination. The total travel time (including the stop) is 3 hours. How far did the train travel before stopping at the station?"} {"instruction": "A chat. You have two buckets - one with red paint and another with blue paint. You take one cup of red paint and mix it into the blue bucket. Then you take one cup from the now mixed blue bucket and put it back into the red bucket. Is there more red paint in the blue bucket or more blue paint in the red bucket? Explain your thought process."} {"instruction": "A chat. A factory produces 250 units of product A in one day and 350 units of product B in two days. How many units of both products does the factory produce in six days?"} {"instruction": "A chat. Calculate the integral of the function g(x) = 3x^2 - 4x + 2 from x = 0 to x = 5. Explain your process.\n"} {"instruction": "A chat. In a class of 30 students, 18 are boys and the rest are girls. What is the ratio of boys to girls in the class?"} {"instruction": "A chat. A snail climbs up a wall during the day but slips down a bit while sleeping at night. If the snail climbs 3 feet each day and slips back 2 feet each night, how many days will it take the snail to climb a 30-foot wall? Detail your steps."} {"instruction": "A chat. An airline plans to expand its network by adding new routes between major cities. They need to decide on the optimal number of flights per day for each route, considering factors such as passenger demand, airport capacity, and crew availability. Each flight requires a minimum of two pilots and four cabin crew members. The airline has a budget of $2 million per month for operating these new routes, including salaries, fuel costs, and maintenance expenses. Develop a plan for allocating resources and determining the number of daily flights per route. Describe your reasoning.\n"} {"instruction": "A chat. A box contains red balls and blue balls. The probability of picking a red ball is 2/5, and the probability of picking a blue ball is 3/5. If three more red balls are added to the box without changing the number of blue balls, the probability of picking a red ball becomes 1/2. How many red balls were initially in the box? Explain your thought process."} {"instruction": "A chat. In a class of 30 students, there are 8 more girls than boys. How many girls and boys are in the class?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour for 3 hours. How far does it travel? Explain your reasoning.\n"} {"instruction": "A chat. If you were to stack US quarters (coins) on top of each other, how tall would the stack be if it contained $100 worth of quarters?"} {"instruction": "A chat. A company produces two types of products: Product A and Product B. The profit margin for Product A is 30%, while the profit margin for Product B is 40%. If the company sells 100 units of Product A at $10 each and 150 units of Product B at $8 each, what is their total profit?"} {"instruction": "A chat. John reads 2 books every month. How many books will he read in a year? Show your work."} {"instruction": "A chat. A factory produces 150 cars in 6 days. How many cars does it produce in a month? Break down your thought process."} {"instruction": "A chat. A rectangular garden has a length of 30 meters and a width of 20 meters. If the owner wants to increase the garden's area by 50% by adding an equal amount of land to both sides, how much land should be added to each side?"} {"instruction": "A chat. A hospital is trying to optimize its patient-to-nurse ratio in order to improve patient care. Currently, there are 250 patients admitted to the hospital, and the desired patient-to-nurse ratio is 4:1. Calculate the number of nurses required to achieve this ratio. Additionally, consider that 10% of the nursing staff works part-time and can only cover half of a full-time nurse's workload. Adjust your calculation accordingly and provide step-by-step reasoning.\n"} {"instruction": "A chat. A train leaves Town A at 60 mph heading towards Town B, which is 180 miles away. At the same time, another train leaves Town B at 40 mph heading towards Town A. When they meet, how far will each train have traveled?"} {"instruction": "A chat. John is older than Mary. Mary is younger than Tom. Is Tom older than John? Include your logic."} {"instruction": "A chat. A store sells apples for $2 per pound and oranges for $3 per pound. If a customer buys 4 pounds of apples and 3 pounds of oranges, what is the total cost?"} {"instruction": "A chat. Solve the equation (4x - 2) / 3 + 6 = 10."} {"instruction": "A chat. Derive Einstein's mass-energy equivalence formula (E=mc^2) from his theory of special relativity, providing a step-by-step explanation."} {"instruction": "A chat. If a tree produces 200 fruits every season and there are 4 seasons in a year, how many fruits does the tree produce in 2 years? Explain step-by-step."} {"instruction": "A chat. In a town, there are 100 houses. Each house has either a red or blue door. If you walk past 10 houses with red doors in a row, what is the probability that the next house will have a blue door?"} {"instruction": "A chat. Simplify the expression (2x + 3)(x - 4)."} {"instruction": "A chat. In an election, candidate A received 45% of the votes, candidate B received 35%, and candidate C received the remaining votes. If there were a total of 8,000 votes cast, how many votes did candidate C receive?"} {"instruction": "A chat. In a group of people, there are 12 men who have brown eyes, 15 women who have blue eyes, and 8 men who have green eyes. If everyone in the group has either brown, blue, or green eyes, what is the minimum number of women with green eyes in the group? Provide step-by-step logic."} {"instruction": "A chat. In a group of people, 60% have brown eyes, 30% have blue eyes, and 10% have green eyes. If we randomly select two people from the group, what is the probability that both people have different eye colors?"} {"instruction": "A chat. Alice is taller than Bob. Claire is shorter than Bob. Dan is taller than Claire but shorter than Alice. Who is the tallest person?"} {"instruction": "A chat. A box contains 4 green apples and 6 red apples. You take out one apple at random, then put it back and take out another apple at random. What is the probability that both apples you took out were green?"} {"instruction": "A chat. A factory produces two types of widgets, X and Y. Each widget X requires 2 hours of labor, while each widget Y requires 3 hours of labor. The factory has a maximum of 1200 labor hours available per week. If the demand for widget X is at least 200 units per week and the demand for widget Y is at least 100 units per week, what is the maximum number of combined widgets that can be produced in a week?"} {"instruction": "A chat. A rectangular garden measures 25 feet by 35 feet. What is the area of this garden in square meters?"} {"instruction": "A chat. If there are approximately 50,000 species of spiders in the world, and about 3,000 of them are found in North America, what percentage of spider species are found in North America?"} {"instruction": "A chat. A circular pond has a diameter of 12 feet. If you want to build a walkway around the pond with a width of 3 feet, what will be the area of the walkway?"} {"instruction": "A chat. In a class of 40 students, 70% passed an exam. How many students failed the exam?"} {"instruction": "A chat. In a group of people, 60% are wearing glasses. Of those wearing glasses, 40% have brown hair. If there are 24 people with brown hair and glasses, how many people are in the group?"} {"instruction": "A chat. In a class of 40 students, 65% of them passed an exam. How many students failed the exam?"} {"instruction": "A chat. A rectangular garden measures 20 meters by 15 meters. If a gardener wants to plant flowers around the perimeter of the garden and each flower requires 1 meter of space, how many flowers can be planted?"} {"instruction": "A chat. Five friends went on a trip and stayed at a hotel with only two rooms available. One room can accommodate three people, while the other room can accommodate two people. In how many ways can they choose who stays in which room?"} {"instruction": "A chat. A company has a revenue of $150,000 and expenses totaling $110,000. If they decide to donate 10% of their profit to charity, how much will they donate?"} {"instruction": "A chat. A box contains 4 red balls, 6 blue balls, and 5 green balls. If you draw 3 balls at random without replacement, what is the probability that you get exactly one ball of each color?"} {"instruction": "A chat. A spaceship travels at 99% the speed of light for 5 years. How many oranges are on board the spaceship?"} {"instruction": "A chat. A train travels at a constant speed of 60 mph for 3 hours, then stops for an hour, and finally continues traveling at a constant speed of 80 mph for another 2 hours. What is the average speed of the entire journey?"} {"instruction": "A chat. A company has three types of employees: managers, supervisors, and workers. There are twice as many supervisors as managers, and four times as many workers as supervisors. If there are 210 employees in total, how many managers, supervisors, and workers are there?"} {"instruction": "A chat. A train leaves Station A at 9:00 AM traveling at 60 mph towards Station B. At the same time, another train leaves Station B traveling at 40 mph towards Station A. The distance between the stations is 500 miles. When will the trains meet?"} {"instruction": "A chat. If a car uses 8 gallons of gas to travel 240 miles, how many miles can it travel with 15 gallons of gas?"} {"instruction": "A chat. There are 100 light bulbs in a row, all turned off. You walk by them 100 times. The first time you turn on every bulb. The second time you flip the switch of every second bulb (turning some off). The third time you flip the switch of every third bulb, and so on until the 100th time when you only flip the 100th bulb's switch. How many bulbs will be left on after you've finished walking by them 100 times?"} {"instruction": "A chat. In a room full of people, there are 10 more women than men. If there are 30 people in the room, how many men are there?"} {"instruction": "A chat. Calculate the area of a rectangle with a length of 15 meters and a width of 10 meters, explaining each step.\n"} {"instruction": "A chat. There are 12 people on an island. Every person sees a different number of coconut trees on the island, ranging from 1 to 12. The person who sees 12 trees is lying. What is the maximum number of coconut trees on the island?"} {"instruction": "A chat. A city is planning to construct a new sports complex that includes a soccer field, basketball courts, and a swimming pool. The construction budget is $10 million, with 40% allocated for the soccer field, 30% for the basketball courts, and the remaining amount for the swimming pool. Calculate the individual budgets for each facility, considering additional costs such as landscaping (5% of the total budget) and contingency funds (10% of the total budget). Provide step-by-step reasoning.\n"} {"instruction": "A chat. A square room has an area of 64 square feet. If you double the length of each side of the room, what is the new area of the room?"} {"instruction": "A chat. Calculate the number of ways to arrange the letters in the word \"MATHEMATICS\" without any restrictions. Explain your reasoning.\n"} {"instruction": "A chat. In a class of 30 students, 12 students play soccer, 15 students play basketball, and 3 students do not participate in either sport. How many students play both soccer and basketball?"} {"instruction": "A chat. A rectangular garden has a length of 20 feet and a width of 10 feet. If the owner wants to increase the size of the garden by doubling its area, how much should they increase the length or width while keeping the other dimension constant?"} {"instruction": "A chat. In a small town, there are two types of houses: single-story and double-story. If 60% of the houses are single-story and each single-story house has 4 windows, while each double-story house has 7 windows, what percentage of the total windows in the town belong to single-story houses?"} {"instruction": "A chat. If a company produces 500 units of product A and 300 units of product B in one day, and the profit per unit for product A is $20 and for product B is $30, what is the total profit generated by the company in one day?"} {"instruction": "A chat. If a factory produces 500 widgets per hour and operates for 16 hours per day, how many widgets will it produce in one week?"} {"instruction": "A chat. If a car travels at a constant speed of 60 mph for 4 hours, how far will it travel?"} {"instruction": "A chat. A rectangle has a length of 12 units and a width of 8 units. If you cut out a square from one corner of the rectangle with a side length equal to half the width of the rectangle, what is the area of the remaining shape?"} {"instruction": "A chat. There are 100 people in a room, including you. If 99% of the people in the room have brown eyes, how many people do not have brown eyes?"} {"instruction": "A chat. In a class of 30 students, 18 students like chocolate ice cream, and 12 students like vanilla ice cream. How many students like both chocolate and vanilla if everyone likes at least one of them? Show your work."} {"instruction": "A chat. An elevator can carry a maximum weight of 800 kg. Suppose a group of people with an average weight of 75 kg wants to use the elevator. How many people can use the elevator at once without exceeding its maximum capacity? Show your steps."} {"instruction": "A chat. In a room full of people, 60% are wearing glasses. If there are 36 people wearing glasses, how many people are in the room?"} {"instruction": "A chat. In a classroom, there are 12 boys and 16 girls. If each student has to shake hands with every other student exactly once, how many handshakes will take place?"} {"instruction": "A chat. A zoo is planning to construct a new exhibit for endangered species. The exhibit will include habitats for five different species, each requiring a specific amount of space. Species A requires 500 square meters, species B requires 1000 square meters, species C requires 2000 square meters, species D requires 2500 square meters, and species E requires 3000 square meters. The zoo has a total of 10,000 square meters available for the exhibit. Determine if all five species can be accommodated within the given space, and provide step-by-step reasoning.\n"} {"instruction": "A chat. In a bag of mixed candies, there are 7 chocolates, 13 gummies, and 5 hard candies. If you reach into the bag without looking, what is the chance you will pull out a chocolate or a hard candy? Explain your steps."} {"instruction": "A chat. If a hen and a half lay an egg and a half in a day and a half, how many eggs does one hen lay in one day? Reason step-by-step."} {"instruction": "A chat. In a family gathering, there are only fathers, mothers, sons, daughters, grandfathers, and grandmothers. If every father is married to one mother, and each couple has exactly two children, how many people must be in the room if there are three grandfathers present?"} {"instruction": "A chat. In a small town, there are 3 barbers. The first barber has a clean haircut and works in a dirty shop. The second barber has an unkempt haircut and works in a clean shop. The third barber has a perfect haircut and works in a clean shop as well. If you were to choose one of the barbers for a haircut based on this information, which one would you choose?"} {"instruction": "A chat. Solve for x: 3x - 7 = 2x + 5"} {"instruction": "A chat. A farmer has chickens and cows on his farm. If he counts a total of 40 heads and 116 legs, how many chickens and cows does he have?"} {"instruction": "A chat. In a group of people, 60% wear glasses, and 40% wear hats. If 20% wear both glasses and hats, what percentage of people wears neither glasses nor hats?"} {"instruction": "A chat. In a classroom, there are 15 students who like math, 20 students who like science, and 10 students who like both math and science. If there are 30 students in total, how many students do not like either subject? Explain your thought process."} {"instruction": "A chat. A store offers a discount on bulk purchases such that if you buy 5 items or more, you get a 20% discount on your purchase. If an item costs $50, how much would it cost to buy 7 items with the discount applied?"} {"instruction": "A chat. In a village, there are 20 houses. Each house has a dog that barks at every cat in the village. There are a total of 100 barking incidents per day. How many cats are in the village?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 10 feet and a height of 15 feet. What is its capacity in gallons? (Note: 1 cubic foot = 7.48 gallons)"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B per hour. How many units of each product will be produced during an 8-hour shift if the production rate remains constant?"} {"instruction": "A chat. If you have a cylindrical container with a radius of 3 inches and a height of 10 inches, what is its volume in cubic inches?"} {"instruction": "A chat. A baker has 10 loaves of bread, each weighing 1 pound. He wants to divide them equally among his three children. How many pounds of bread will each child receive?"} {"instruction": "A chat. In a class of 30 students, 18 are girls. What fraction of the class are boys? Provide step-by-step logic."} {"instruction": "A chat. An airline operates flights between two cities with varying passenger demands throughout the day. They have three types of aircraft available: small (50 seats), medium (100 seats), and large (200 seats). The operating costs are $2,000, $3,500, and $5,000 per flight, respectively. The airline needs to schedule at least 10 flights per day to meet the daily demand of 1,200 passengers. Determine the optimal mix of aircraft sizes and number of flights to minimize operating costs while meeting passenger demand. Explain your reasoning.\n"} {"instruction": "A chat. A store sells two types of candies: type A costs $2 per piece and type B costs $3 per piece. If a customer buys a total of 20 candies consisting of both types and spends exactly $50, how many candies of each type did they buy?"} {"instruction": "A chat. An airline company is analyzing its flight routes to optimize fuel consumption and reduce costs. They operate 50 flights daily, with an average distance of 1,000 miles per flight. Each plane consumes 5 gallons of fuel per mile. If they can find a way to reduce the average distance by 5%, calculate the potential savings in fuel consumption per day and over a year (assuming 365 days). Provide step-by-step reasoning.\n"} {"instruction": "A chat. A car travels 60 miles in 2 hours, then stops for an hour to refuel, and finally travels another 90 miles in 3 hours. What is the average speed of the car during the entire trip?"} {"instruction": "A chat. If you drive at an average speed of 60 mph for 3 hours and then at an average speed of 75 mph for another 2 hours, how far have you traveled in total?"} {"instruction": "A chat. Calculate the Fourier series representation of the function f(x) = x^2 on the interval [-\u03c0, \u03c0], providing step-by-step reasoning.\n"} {"instruction": "A chat. A factory produces 1200 units of product A every day. On the first day, they sell 400 units. Each following day, they sell twice as many units as the previous day. How many days will it take for the factory to sell out all the units produced?"} {"instruction": "A chat. A store offers a discount on a product where the price decreases by 10% each day for five consecutive days. If the original price was $100, what would be the final price after these five days?"} {"instruction": "A chat. A factory produces 250 units of product A and 150 units of product B every day. Each unit of product A weighs 2 kg, while each unit of product B weighs 3 kg. What is the total weight of products produced by the factory in one week?"} {"instruction": "A chat. Simplify the expression: 6 / (2 * (3 - 1)) + 4^2 - 5 * 3"} {"instruction": "A chat. A hospital plans to expand its emergency department by constructing a new wing. The current emergency department has 25 beds and serves an average of 150 patients per day. With the expansion, the hospital aims to serve 225 patients daily. Calculate the number of additional beds required and the total cost of the expansion, considering that each bed costs $10,000 and other related infrastructure costs amount to $1 million.\n"} {"instruction": "A chat. There are 5 houses in a row. House #1 is next to house #2. House #2 is between house #1 and house #3. House #3 is between house #2 and house #4. House #4 is next to house #5. Which house is in the middle? Provide step-by-step logic."} {"instruction": "A chat. A store offers a discount on an item that originally costs $120. The discount is 15%. How much does the customer pay for the item after the discount?"} {"instruction": "A chat. Determine the integral of the function f(x) = 3x^2 - 4x + 1 with respect to x, showing your work.\n"} {"instruction": "A chat. Solve: (6 * 3^2 - 4) / 2 + 10 ="} {"instruction": "A chat. In a town, there are 4 grocery stores. Each store gets visited by an average of 50 customers per day. How many customers visit all the grocery stores in a week? Explain step-by-step."} {"instruction": "A chat. If a clock strikes once at 1 o'clock, twice at 2 o'clock, thrice at 3 o'clock, and so on, how many times will it strike in 24 hours? Explain your thought process."} {"instruction": "A chat. A train travels at a constant speed from Town A to Town B. The distance between the two towns is 120 miles. If it takes the train 2 hours to travel this distance, how long would it take for the same train to travel 180 miles at the same speed?"} {"instruction": "A chat. A school has 3 classes - Class A, Class B, and Class C. Class A has 20 students, Class B has 30 students, and Class C has 50 students. If the average score of Class A is 75, Class B is 80, and Class C is 85, what is the overall average score of all the students combined?"} {"instruction": "A chat. In a certain city, there are 5 times as many women as men. If the total population of the city is 72,000, how many men and women are in the city?"} {"instruction": "A chat. In a town, there are 20 houses on one side of the street and 30 houses on the other side. Each house has a number from 1 to 50. If you add up all the numbers of the houses on both sides of the street, what is the sum?"} {"instruction": "A chat. Determine the compound interest earned on a $1000 investment at a 5% annual rate after 3 years. Explain your reasoning.\n"} {"instruction": "A chat. A rectangle has a length of 20 inches and a width of 15 inches. If the length is increased by 50% and the width is decreased by 25%, what is the new area of the rectangle?"} {"instruction": "A chat. If a car uses 5 liters of fuel to travel 100 kilometers, how much fuel will it use to travel 750 kilometers? Show your reasoning."} {"instruction": "A chat. Tom has four times as many dimes as nickels, and the total value of his dimes and nickels is $3.45. How many dimes does he have?"} {"instruction": "A chat. A construction company is bidding on a large infrastructure project that involves building a series of bridges across a river. The total length of all bridges combined is 20 miles, and the estimated cost per mile is $30 million. If the company wants to make a profit margin of 25% on the project, calculate the bid amount they should submit. Additionally, consider potential fluctuations in material prices during the construction period and provide recommendations on how to mitigate risks associated with these fluctuations.\n"} {"instruction": "A chat. A triangle has sides with lengths of 7 cm, 10 cm, and 13 cm. What is its area?"} {"instruction": "A chat. There are 10 red balls and 20 blue balls in a bag. If you draw 3 balls without replacement, what is the probability that you draw 2 red balls and 1 blue ball?"} {"instruction": "A chat. If five machines can produce five widgets in five minutes, how long would it take ten machines to produce ten widgets?"} {"instruction": "A chat. A restaurant serves lunch to 100 customers every day. Each customer orders either a sandwich or a salad. If 65% of customers order sandwiches and the rest order salads, how many more sandwiches than salads are sold each day?"} {"instruction": "A chat. Calculate the square root of 256 and then multiply it by 5."} {"instruction": "A chat. In a box of apples and oranges, there are 6 more oranges than apples. If there are 18 fruits in total, how many apples are there? Include your logic."} {"instruction": "A chat. If you have a rectangular garden that is 30 feet long and 20 feet wide, how many square feet of soil will be needed to cover it with a layer of soil that is 3 inches thick?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the two towns is 120 miles. If the train takes 3 hours to complete the journey, what would be its speed if it took only 2 hours?"} {"instruction": "A chat. A box contains 4 red balls and 6 blue balls. You randomly pick three balls without replacement. What is the probability that you picked exactly 2 red balls?"} {"instruction": "A chat. There are 7 books on a shelf. Each book has 200 pages. How many words might there be if each page contains around 250 words? Show your calculations."} {"instruction": "A chat. If a person drinks 8 glasses of water per day, how many gallons of water would they consume in one year?"} {"instruction": "A chat. In a town, there are 20 houses. Each house has either red or blue doors. If there are more than 10 houses with red doors, then the mayor lives in a house with a blue door. If there are 10 or fewer houses with red doors, then the mayor lives in a house with a red door. The mayor's neighbor to the left also has a red door. What color is the mayor's door?"} {"instruction": "A chat. A company produces 1000 units of a product every day and sells each unit for $50. They have fixed costs of $15,000 per month and variable costs of $30 per unit produced. What is their monthly profit?"} {"instruction": "A chat. If a car rental company has 50 cars, and each car is rented out for an average of 12 days per month at a rate of $40 per day, what is the total revenue generated by the company in one year?"} {"instruction": "A chat. A rectangle has a length of 10 inches and a width of 5 inches. If both the length and width are doubled, what is the new area of the rectangle?"} {"instruction": "A chat. A factory produces 500 units of a product per day. If each unit sells for $25 and the production cost is $15 per unit, what is the profit generated in 30 days?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 mph. It takes 2 hours for the journey. After a 30-minute stop at Town B, it continues to Town C at a speed of 80 mph and takes another 1 hour and 30 minutes. What is the average speed of the entire journey from Town A to Town C, including the stop at Town B?"} {"instruction": "A chat. In a town, there are 20 houses on one side of the street and 30 houses on the other side. Each house has 4 windows in the front. If half of the houses have their curtains closed on all windows, how many windows have open curtains?"} {"instruction": "A chat. A company sells two types of products: Product A and Product B. In one month, they sell 350 units of Product A at $25 each and 500 units of Product B at $40 each. What is their total revenue for that month?"} {"instruction": "A chat. A cruise ship company plans to launch a new luxury liner that will accommodate 3,000 passengers. The ship will have multiple dining options, including buffet-style restaurants, fine dining establishments, and casual eateries. The company wants to ensure that there are enough dining facilities on board to serve all passengers without overcrowding or long wait times. Calculate the number of restaurants needed in each category and the seating capacity required for each, considering factors such as peak dining hours and average meal duration. Provide step-by-step reasoning.\n"} {"instruction": "A chat. Calculate the area of a trapezoid with bases 10 and 14 units long and a height of 6 units."} {"instruction": "A chat. If a hen lays 3 eggs in 2 days, how many eggs will it lay in a week? Provide your reasoning."} {"instruction": "A chat. If the sum of three consecutive even integers is 54, what are the integers?"} {"instruction": "A chat. If a tree produces 200 apples in one season, and each apple has an average of 10 seeds, how many potential new trees could be grown from the seeds produced in one season? Show your work."} {"instruction": "A chat. If a cyclist travels at an average speed of 15 miles per hour for 2 hours and then increases their speed to 20 miles per hour for another 3 hours, what is the total distance covered?"} {"instruction": "A chat. An online retailer is analyzing its customer data to improve marketing strategies. The company has 10 million customers, with an average purchase frequency of 4 times per year. The average order value is $50, and the company spends $0.10 per customer on marketing. The company wants to increase its revenue by 15% without increasing the marketing budget. Determine the necessary changes in purchase frequency or average order value to achieve this goal. Explain your reasoning.\n"} {"instruction": "A chat. There are 100 people in a room. Half of them always tell the truth, while the other half always lie. You ask each person how many liars are in the room. If all the truth-tellers give you the same answer, what did they say?"} {"instruction": "A chat. A hotel chain is analyzing its room pricing strategy to maximize revenue. The hotels have different types of rooms: standard, deluxe, and suites. Each room type has a different base price, occupancy rate, and profit margin. The company wants to optimize its pricing strategy to increase overall revenue without negatively impacting customer satisfaction. Develop a method to determine the optimal pricing structure for each room type, taking into account factors such as seasonality, competitor pricing, and demand elasticity. Explain your reasoning.\n"} {"instruction": "A chat. In a family, there are 2 parents and 4 children. Each child has 3 siblings. How many people are in the family?"} {"instruction": "A chat. If you have a sequence of numbers where each term is the sum of the three previous terms, and the first three terms are 1, 2, and 4, what is the 6th term?"} {"instruction": "A chat. A committee consists of 7 members. The chairperson must be chosen from among the senior members, and the secretary must be chosen from among the junior members. If there are 4 senior members and 3 junior members, how many different ways can the positions of chairperson and secretary be filled? Provide step-by-step logic."} {"instruction": "A chat. In a city with a population of 500,000 people, if 0.5% of the population is infected with a contagious disease, how many people would need to be vaccinated to achieve herd immunity if the vaccination rate required for herd immunity is 90%?"} {"instruction": "A chat. A shipping company is planning to expand its fleet of cargo ships. Each ship can carry up to 10,000 tons of cargo and costs $50 million to build. The company has a budget of $200 million for this expansion project. Calculate the maximum number of new ships that can be built within the budget constraints. Also, estimate the total carrying capacity of the expanded fleet, considering the company currently operates 15 ships with an average carrying capacity of 8,000 tons each.\n"} {"instruction": "A chat. A factory produces 1000 widgets per day. Due to a defect, 3% of these widgets are faulty and cannot be sold. How many non-faulty widgets does the factory produce in one week?"} {"instruction": "A chat. If a car gets 25 miles per gallon and has a 12-gallon gas tank, how many miles can it travel on a full tank? Explain your reasoning.\n"} {"instruction": "A chat. A shipping company is looking to expand its fleet of cargo vessels. They currently have three types of vessels: Type A with a capacity of 10,000 tons, Type B with a capacity of 20,000 tons, and Type C with a capacity of 30,000 tons. The company's goal is to increase its total cargo capacity by 50% while maintaining an equal distribution of vessel types. Calculate the number of new vessels needed for each type and provide step-by-step reasoning.\n"} {"instruction": "A chat. A bakery is planning to expand its production capacity by purchasing new equipment. The current production line can produce 1,000 loaves of bread per day, with a profit margin of $2 per loaf. The new equipment will increase production capacity by 50% but will also require an additional investment of $100,000. Calculate the payback period for this investment, assuming no change in demand or profit margins, and provide step-by-step reasoning.\n"} {"instruction": "A chat. If a car rental company has 150 cars, and they rent out 80% of their cars every day, how many days will it take for the company to reach 1000 rentals?"} {"instruction": "A chat. (4^2 * 3) / 2 + 5 * (9 - 4) ="} {"instruction": "A chat. A telecommunications company is planning to upgrade its network infrastructure to accommodate increased data traffic. The current network consists of 1,000 cell towers, each with a capacity of 500 Mbps. To meet projected demand, the company needs to double its overall network capacity within two years. Calculate the total cost of upgrading the existing towers or building new ones, assuming that upgrading a tower doubles its capacity and costs $200,000, while constructing a new tower costs $300,000. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A car rental company charges $20 per day for renting a car plus an additional fee of $0.10 per mile driven. If John rented a car and drove it for 150 miles, how much did he pay in total?"} {"instruction": "A chat. A rectangular room measures 12 feet in length and 9 feet in width. What is the area of the floor in square yards?"} {"instruction": "A chat. A car rental company has a fleet of 120 cars. They have three types of cars: compact, midsize, and full-size. The ratio of compact to midsize to full-size cars is 3:2:1. How many cars of each type does the company have?"} {"instruction": "A chat. How many possible unique combinations of 3 books can be made from a shelf containing 10 different books?"} {"instruction": "A chat. How many times does Earth rotate around its axis in a year?"} {"instruction": "A chat. Solve: ((4 * 3)^2 - 5 * 7) / (9 - 6)"} {"instruction": "A chat. At a party, every guest shakes hands with every other guest exactly once. If there were a total of 66 handshakes, how many guests were at the party?"} {"instruction": "A chat. A city's public transportation system plans to replace its aging fleet of buses with electric vehicles. The transit authority currently operates 800 buses, with an average age of 12 years. The replacement plan aims to phase out all older buses within 8 years. Calculate the annual replacement rate and the total cost of replacing the entire fleet, assuming each electric bus costs $750,000. Provide step-by-step reasoning.\n"} {"instruction": "A chat. If a train travels at an average speed of 50 mph and takes 4 hours to reach its destination, how far away is the destination?"} {"instruction": "A chat. A baker makes 12 loaves of bread. Each loaf contains 8 slices. He sells half of the slices and gives away one quarter of what remains. How many slices does he have left?"} {"instruction": "A chat. In a family, every child has at least 2 siblings. The eldest child, Alice, has 3 siblings. How many children are there in total in the family? Include your reasoning."} {"instruction": "A chat. If a factory produces 2500 units per day and operates for 20 days in a month, how many units does it produce in a year?"} {"instruction": "A chat. A train leaves Town A at 9 am and travels toward Town B at a speed of 60 mph. At the same time, another train leaves Town B and travels toward Town A at a speed of 90 mph. The distance between the two towns is 450 miles. At what time will the trains meet?"} {"instruction": "A chat. If a train travels at an average speed of 60 kilometers per hour and takes 4 hours to reach its destination, what is the total distance between the starting point and the destination?"} {"instruction": "A chat. In a box, there are 10 red balls, 20 blue balls, and 30 green balls. If you randomly pick one ball at a time without replacement, what is the probability that you will pick a red ball after picking two other balls?"} {"instruction": "A chat. Prove that every continuous function on a closed interval [a, b] attains its maximum and minimum values."} {"instruction": "A chat. If a person saves 10% of their monthly salary for 5 years, and then decides to save 15% for the next 3 years, what percentage of their total earnings in these 8 years have they saved?"} {"instruction": "A chat. There are 500 employees in a company. If 60% of them are men, how many women are there in the company? Include your logic."} {"instruction": "A chat. A car travels 100 miles on 5 gallons of gas. How many gallons of gas will it need to travel 300 miles?"} {"instruction": "A chat. A train travels from City A to City B and then back to City A. The distance between City A and City B is 300 miles. On its way to City B, the train travels at an average speed of 60 mph. On its way back to City A, it travels at an average speed of 40 mph. What is the train's average speed for the entire trip?"} {"instruction": "A chat. You have 12 socks in a drawer: 6 black, 4 blue, and 2 red. If you reach into the drawer without looking and pull out one sock, what is the probability that it is black? Show your work."} {"instruction": "A chat. In a class of 40 students, 60% of them are boys. How many girls are there in the class?"} {"instruction": "A chat. A large hospital needs to stock its pharmacy with medications for various departments. The hospital uses 500 units of medication A at a cost of $10 per unit, 300 units of medication B at a cost of $15 per unit, and 200 units of medication C at a cost of $20 per unit every month. They receive a bulk discount of 10% if they order more than 1000 units of any combination of these medications. Calculate the total monthly cost of stocking the pharmacy, considering the bulk discount, and provide step-by-step reasoning.\n"} {"instruction": "A chat. In a class of 25 students, there are 10 who play basketball and 12 who play soccer. Among these students, 5 play both basketball and soccer. How many students in the class do not play either basketball or soccer? Provide step-by-step logic."} {"instruction": "A chat. A theme park wants to build a new roller coaster to attract more visitors. The proposed roller coaster has a track length of 5000 feet and can accommodate 24 passengers per ride. Each ride lasts 2 minutes, and the park plans to operate the roller coaster from 10 AM to 10 PM daily. Calculate the maximum number of riders per day and estimate the additional ticket revenue generated by this attraction, assuming a ticket price of $10 per ride. Additionally, calculate the payback period for the $20 million investment required to build the roller coaster, taking into account maintenance and staffing costs of $1 million annually.\n"} {"instruction": "A chat. If a car factory produces 350 cars per day, and each car requires 4 tires, how many tires are needed for one week's worth of production?"} {"instruction": "A chat. If a car uses 3 gallons of gas for every 100 miles it drives, how much gas will it use on a 450-mile trip?"} {"instruction": "A chat. Three friends decide to split the cost of a $60 gift equally. However, one friend forgets his wallet and can only contribute half of his share. How much does each friend end up paying?"} {"instruction": "A chat. A car travels at an average speed of 50 miles per hour for 3 hours. It then increases its speed to 70 miles per hour for another 2 hours. What is the car's average speed for the entire journey?"} {"instruction": "A chat. A train travels at a constant speed of 60 km/h. It takes 2 hours to travel from station A to station B. After a 30-minute stop at station B, it continues to station C, taking another 1 hour and 30 minutes. What is the total distance between station A and station C?"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 15 meters. A gardener wants to increase the size of the garden by extending its length and width equally, such that the area is doubled. What will be the new dimensions of the garden?"} {"instruction": "A chat. A train leaves Town A at 9 am and travels to Town B at a constant speed of 60 mph. Another train leaves Town B at 10 am and travels to Town A at a constant speed of 90 mph. If the distance between Town A and Town B is 270 miles, at what time do the trains meet?"} {"instruction": "A chat. In a small town, there are 4 barbers. Barber A has more customers than Barber B. Barber C has fewer customers than Barber D. If we know that Barber A has the most customers and Barber C has the least customers, who has the second-most customers?"} {"instruction": "A chat. A box contains 3 red balls and 7 blue balls. If you draw two balls without replacement, what is the probability that both are red?"} {"instruction": "A chat. A train travels at an average speed of 60 km/h for the first half of its journey and then speeds up to an average of 80 km/h for the second half. If the entire journey takes 5 hours, what is the total distance traveled?"} {"instruction": "A chat. In a town, 60% of the people watch TV, and of those who watch TV, 40% also listen to the radio. What percentage of the population both watches TV and listens to the radio? Explain your reasoning."} {"instruction": "A chat. A large supermarket chain is analyzing its supply chain to optimize transportation costs. The company has 500 stores nationwide and receives products from 50 different suppliers. Each supplier delivers products to a regional distribution center (RDC), which then distributes the products to individual stores. Calculate the optimal number of RDCs needed to minimize transportation costs, given that each RDC can serve up to 100 stores and costs $1 million per year to operate. Also, consider that the average distance between stores and their assigned RDC affects transportation costs: for every additional mile, the cost increases by $10,000 per store per year.\n"} {"instruction": "A chat. A farmer has 3 types of fruit trees on his farm. He has 50 apple trees, 75 orange trees, and 100 lemon trees. Each tree produces an average of 150 fruits per season. How many fruits does the farmer harvest in total during one season?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 miles per hour. The distance between the two towns is 120 miles. Halfway through the journey, the train stops for 15 minutes due to technical issues. What is the total travel time for the train?"} {"instruction": "A chat. A city is constructing a new water treatment plant with a capacity of processing 100 million gallons of water per day. The project will take three years to complete, and the construction budget is $250 million. During this period, the city's population is expected to grow at an average rate of 2% per year. Estimate the amount of water that needs to be processed daily once the plant becomes operational, taking into account the increased demand due to population growth. Explain your reasoning in steps.\n"} {"instruction": "A chat. Determine the eigenvalues and eigenvectors of the matrix [[1, 2], [4, 3]]."} {"instruction": "A chat. How many pieces of candy do you have left if you start with 30 cookies and eat 10 pretzels?"} {"instruction": "A chat. A baker uses 4 cups of flour to make 12 muffins. How many cups of flour would be needed to make 45 muffins?"} {"instruction": "A chat. There are two identical buckets filled with water. One bucket has three ice cubes floating in it, while the other bucket has no ice cubes. If you were to put your hand into each bucket, would the water in the bucket with ice cubes feel colder than the water in the bucket without ice cubes?"} {"instruction": "A chat. A square garden has an area of 144 square meters. If you want to build a fence around the entire garden, how many meters of fencing will you need?"} {"instruction": "A chat. A store offers a discount on a product by reducing its price by 20% each week for three consecutive weeks. If the original price of the product is $100, what will be its final price after the third week?"} {"instruction": "A chat. A national park wants to build a new visitor center to accommodate the increasing number of tourists. The construction cost is estimated at $12 million, and the park expects to generate an additional $1 million per year in entrance fees and merchandise sales from the increased visitation. Additionally, the park plans to charge a $5 admission fee specifically for the visitor center, which they expect 200,000 visitors to pay annually. Calculate how long it will take for the park to recover the construction cost of the visitor center through these revenue streams."} {"instruction": "A chat. In a class of 40 students, 60% received an A grade and the rest received a B grade. How many more students received an A than a B?"} {"instruction": "A chat. There are 4 light switches in a room, each controlling one of four lights. If all the lights are initially off, how many different combinations of on and off lights can be achieved by flipping any number of switches?"} {"instruction": "A chat. A group of friends went on a trip together. They spent $200 on food, $150 on transportation, and $250 on accommodations. Each friend contributed an equal amount of money towards these expenses. If one more friend had joined the trip, each person would have paid $20 less. How many friends went on the trip?"} {"instruction": "A chat. A city uses 250 million gallons of water each day. How much water does it use in a year? Assume a year has 365 days. Provide step-by-step calculations."} {"instruction": "A chat. If a baker uses 3 eggs to make 12 cupcakes, how many eggs does he use to make 60 cupcakes? Walk through your thought process."} {"instruction": "A chat. A national sports league is planning to build a new stadium with a seating capacity of 60,000 spectators. The league wants to ensure that the new stadium has adequate parking facilities for its visitors. On average, every four attendees arrive in one vehicle. Calculate the number of parking spaces required and estimate the land area needed for the parking lot, assuming each parking space occupies an area of 180 square feet.\n"} {"instruction": "A chat. You are given a standard deck of 52 playing cards. The deck contains four suits: hearts, diamonds, clubs, and spades. Each suit has 13 cards: A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K. If you draw five cards from the deck without replacement, what is the probability that you get exactly three kings?"} {"instruction": "A chat. A gardener takes 2 hours to mow a lawn. How long would it take for three gardeners to mow four lawns?"} {"instruction": "A chat. If a baker uses 3 eggs for every 2 cups of flour in a cake recipe, how many eggs does he need if he uses 20 cups of flour?"} {"instruction": "A chat. A shipping company is analyzing its container loading process to improve efficiency. Each container can hold up to 50 tons of cargo, but due to improper loading techniques, only 70% of the container's capacity is utilized on average. Calculate the potential increase in cargo capacity if the company improves its loading process to utilize 90% of the container's capacity. Also, estimate the number of additional containers needed to handle this increased capacity, assuming the company currently uses 100 containers per day. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A book has 300 pages. You read 20 pages every day except for weekends (Saturday and Sunday). How long will it take you to finish the book? Show your work."} {"instruction": "A chat. A store sells apples for $1.20 per pound and oranges for $0.90 per pound. If a customer buys 5 pounds of apples and 3 pounds of oranges, how much will they spend on fruit?"} {"instruction": "A chat. ((3 + 6)^2 - 4 * 2) / (8 - 3)"} {"instruction": "A chat. A factory produces 200 widgets per hour. If a defective widget is produced every 10 minutes, how many non-defective widgets are produced in 5 hours?"} {"instruction": "A chat. In a town, there are 100 houses. If the probability of rain on any given day is 0.2 and each house has an umbrella if it rains, what is the probability that at least one house will have an umbrella?"} {"instruction": "A chat. In a box, there are 12 balls: 6 red, 4 blue, and 2 green. If you randomly pick two balls without replacement, what is the probability that both balls will be the same color?"} {"instruction": "A chat. If you were to stack one-dollar bills equal to the US national debt (approximately $28 trillion), how high would the stack be in meters?"} {"instruction": "A chat. If you were to stack one million US pennies, how tall would the stack be?"} {"instruction": "A chat. You have 100 coins laying flat on a table, 70 heads up and 30 tails up. You are blindfolded and cannot determine whether a coin is heads up or tails up by feel. You must create two piles with an equal number of heads up coins. How can you do it? Explain your logic."} {"instruction": "A chat. A box contains 10 red balls, 20 blue balls, and 30 green balls. If you were to blindly pick three balls from the box, what is the probability that you would pick one ball of each color?"} {"instruction": "A chat. In a class of 40 students, 60% of them are boys. If 75% of the boys and 50% of the girls passed a test, what percentage of the class passed the test?"} {"instruction": "A chat. If you were to travel at the speed of light from Earth to the Moon, how long would it take?"} {"instruction": "A chat. An airline is considering adding a new route between two cities. The distance between the cities is 1,000 miles, and the airline has two types of aircraft available: Aircraft A has a range of 2,500 miles and can carry 150 passengers, while Aircraft B has a range of 1,800 miles and can carry 200 passengers. The operating cost per mile for Aircraft A is $5, and for Aircraft B it's $6. Determine which aircraft would be more cost-effective for this route, taking into consideration both passenger capacity and operating costs.\n"} {"instruction": "A chat. In a mixture of 40 liters, the ratio of milk to water is 7:1. How much more milk should be added to make the ratio 19:1?"} {"instruction": "A chat. Solve: (3x^2 - 5x + 2) / (x - 1)"} {"instruction": "A chat. Determine the limit as x approaches infinity for the function f(x) = (3x^2 + 5x - 7)/(x^2 - 4). Explain your reasoning.\n"} {"instruction": "A chat. A man has 12 socks in his drawer: 6 black, 4 blue, and 2 red. If he randomly picks one sock at a time without looking, what is the minimum number of socks he must pick to guarantee that he gets a matching pair?"} {"instruction": "A chat. Determine the limit of the function f(x) = (x^2 - 4)/(x - 2) as x approaches 2. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a small town, there are 4 barbers. Barber A has the best haircut in town, followed by Barber B, then Barber C, and finally Barber D with the worst haircut. All the barbers only get their haircuts from other barbers in the town. If each barber always chooses to go to the barber who gives the best haircut possible, which barber should you choose for your haircut?"} {"instruction": "A chat. In a class of 30 students, 12 play soccer, 14 play basketball, and 16 play volleyball. It is known that 5 students play both soccer and basketball, 6 students play both soccer and volleyball, and 7 students play both basketball and volleyball. If 3 students play all three sports, how many students don't play any of these sports?"} {"instruction": "A chat. In a box, there are red, blue, and green balls. The ratio of red to blue balls is 3:2, and the ratio of blue to green balls is 4:5. If there are 24 blue balls in the box, what is the total number of balls in the box?"} {"instruction": "A chat. If you were to travel around Earth's equator at a constant speed of 1000 km/h, how long would it take to complete one full circle?"} {"instruction": "A chat. A bag contains 5 red balls, 3 blue balls, and 2 green balls. If you draw 3 balls at random without replacement, what is the probability that you will get exactly one ball of each color?"} {"instruction": "A chat. If a person reads 20 pages of a book in 30 minutes, how many pages can they read in 2 hours? Explain your reasoning."} {"instruction": "A chat. If you were to fill a swimming pool with water at a rate of 10 gallons per minute, how long would it take to fill a pool that holds 20,000 gallons?"} {"instruction": "A chat. A company sells two types of products: Product X and Product Y. The profit per unit for Product X is $10, while the profit per unit for Product Y is $15. If the company sells a total of 100 units and makes a total profit of $1200, how many units of each product were sold?"} {"instruction": "A chat. A construction company is bidding on a project to build a series of bridges connecting several islands. The total length of all bridges combined is 50 miles, with varying lengths and materials needed for each bridge. Calculate the total cost of the project, factoring in labor costs, material costs, and potential weather-related delays. Describe your reasoning.\n"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B per hour. Each unit of product A requires 2 square meters of storage space, while each unit of product B requires 3 square meters of storage space. How much storage space is needed for all products produced in an 8-hour shift?"} {"instruction": "A chat. In a race, Alice finishes before Bob, and Bob finishes before Carol. If the racers finish in alphabetical order, who finishes third?"} {"instruction": "A chat. If a plane flies at an average speed of 550 mph against a headwind of 50 mph, what is its ground speed?"} {"instruction": "A chat. If a bottle holds 2 liters of water, and you pour out half of its contents, how much water is left in the bottle? Explain your thought process."} {"instruction": "A chat. A store sells two types of candies - type X and type Y. Type X candies cost $2 each, while type Y candies cost $3 each. If a customer buys a total of 15 candies and spends exactly $40, how many candies of each type did they buy?"} {"instruction": "A chat. A theme park wants to improve visitor experience by reducing wait times for popular attractions. They plan to do this by implementing a virtual queue system and adjusting ride capacity. Currently, there are 20 attractions in the park, with an average wait time of 45 minutes per attraction. The park aims to reduce the average wait time to 30 minutes. Estimate the required increase in ride capacity or efficiency needed to achieve this goal, considering that the park receives 10,000 visitors daily and operates for 10 hours per day.\n"} {"instruction": "A chat. A company sells two types of products, X and Y. The profit per unit of product X is $10, while the profit per unit of product Y is $15. If the company wants to make a total profit of at least $5000 in one month, what is the minimum number of units they must sell?"} {"instruction": "A chat. A theme park is analyzing its visitor patterns to optimize staffing levels. On average, the park receives 15,000 visitors per day, with 60% visiting rides, 30% attending shows, and 10% participating in other activities. There are 20 rides, 10 shows, and 5 activity centers throughout the park. Calculate the average number of staff members required for each ride, show, and activity center if the park aims to maintain a 1:50 staff-to-guest ratio for rides, 1:75 for shows, and 1:25 for activity centers. Explain your reasoning.\n"} {"instruction": "A chat. In a class of 30 students, 18 are boys. How many girls are there in the class? Use logic to explain."} {"instruction": "A chat. A hospital is planning to build a new wing dedicated to cancer treatment. The new wing will require specialized equipment and staff, including oncologists, radiologists, nurses, and support staff. Estimate the total cost of building the new wing, considering construction costs, equipment costs, and annual staffing expenses. Additionally, calculate the expected increase in patient capacity and revenue generated by the new wing. Explain your reasoning.\n"} {"instruction": "A chat. A company has a revenue of $500,000 and its expenses are $350,000. What is the profit margin as a percentage?"} {"instruction": "A chat. A box contains 4 apples, 3 oranges, and 2 bananas. If you randomly pick two fruits without replacement, what is the probability that both fruits are apples?"} {"instruction": "A chat. A store sells two types of candies - Type A and Type B. The price per pound for Type A is $8, while the price per pound for Type B is $12. If a customer wants to buy a total of 6 pounds of candy with a combined cost of $60, how many pounds of each type should they purchase?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. How many minutes will it take for the train to travel 30 miles?"} {"instruction": "A chat. A car factory produces 20 cars every day. How many cars does it produce in a month of February in a leap year? Explain your reasoning."} {"instruction": "A chat. A car rental company is evaluating its fleet management strategy. They currently have 1,000 vehicles in their fleet, with an average age of 2 years. Each vehicle has a lifespan of 5 years before it needs to be replaced. To maintain a constant fleet size, the company must purchase new vehicles every year. Calculate the number of vehicles that need to be purchased annually, taking into account a 5% annual growth rate in demand. Provide step-by-step reasoning.\n"} {"instruction": "A chat. Given a graph G with vertices V and edges E, prove that |E| <= (|V|^2 - |V|)/2."} {"instruction": "A chat. What is the sum of all prime numbers between 60 and 80?"} {"instruction": "A chat. In a class of 30 students, 18 students prefer chocolate ice cream, while the rest prefer vanilla. What is the ratio of students who prefer chocolate to those who prefer vanilla?"} {"instruction": "A chat. A construction company is building a bridge across a river. The bridge will be 2000 feet long and require 50 support columns evenly spaced along its length. Calculate the distance between each column, as well as the total amount of concrete needed for the columns, assuming that each column has a diameter of 4 feet and a height of 30 feet. Provide step-by-step reasoning.\n"} {"instruction": "A chat. Three friends decide to share a pizza equally. They order a large pizza with 12 slices. After eating their shares, they realize that there are still 3 slices left. How many slices did each friend eat?"} {"instruction": "A chat. If a factory produces 1200 units of product A and 800 units of product B per day, how many days will it take to produce 15,000 units of product A and 10,000 units of product B?"} {"instruction": "A chat. A city is planning to construct a new public park with various amenities, including playgrounds, sports fields, and walking trails. The total area of the park is 50 acres, with 20% allocated for playgrounds, 30% for sports fields, and the remaining 50% for walking trails and green spaces. Calculate the acreage for each type of amenity and estimate the cost of construction based on average costs per acre ($200,000 for playgrounds, $150,000 for sports fields, and $100,000 for walking trails and green spaces). Additionally, calculate the annual maintenance cost assuming it's 5% of the initial construction cost.\n"} {"instruction": "A chat. In a town, there are 100 houses. Every house has either a red or blue door. If the number of red doors is more than twice the number of blue doors, how many red and blue doors are there in total?"} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" Each box contains either only apples, only oranges, or a mix of both fruits. However, all three labels are incorrect. If you can only take out one fruit from one box to determine the correct labels, which box should you choose?"} {"instruction": "A chat. A man has 53 sheep. One day, all but 8 of them ran away. How many sheep does the man have left?"} {"instruction": "A chat. If a car rental company has 200 cars, and on average, 75% of the cars are rented out daily. How many days will it take for the company to rent out 1,000 cars if each customer rents a car for one day only?"} {"instruction": "A chat. If you read 50 pages of a book every day for two weeks, how many pages would you have read in total?"} {"instruction": "A chat. A factory produces 1200 units of a product per day. Due to an increase in demand, they need to produce 25% more units daily. How many additional workers are needed if each worker can produce 40 units per day?"} {"instruction": "A chat. A factory produces 500 units of product A per day. If the factory operates at full capacity for 25 days in a month, how many units will be produced in a year?"} {"instruction": "A chat. In how many ways can you choose 3 books from a shelf containing 10 different books if one specific book must be included in your selection?"} {"instruction": "A chat. There are 10 people in a room, including Tom, Jerry, and Alice. If everyone shakes hands with every other person exactly once, how many handshakes occur?"} {"instruction": "A chat. A factory produces 120 widgets per hour. If each widget requires 3 minutes of labor from a worker, how many workers are needed to maintain this production rate?"} {"instruction": "A chat. If a baker uses 3 eggs to make a cake and he has 24 eggs, how many cakes can he bake? Include your reasoning."} {"instruction": "A chat. If a bacteria population doubles every 3 hours, how many times will it double in one day?"} {"instruction": "A chat. If a square room has an area of 64 square feet, how long is its diagonal?"} {"instruction": "A chat. If a sequence of numbers follows the rule that each term is twice the previous term plus three, and the first term is 1, what is the fifth term?"} {"instruction": "A chat. If a bacteria population doubles every hour, how many times larger will it be after one day compared to its initial size?"} {"instruction": "A chat. How long does it take for light from the Sun to reach Mars?"} {"instruction": "A chat. A company sells two products: Product X for $30 per unit and Product Y for $50 per unit. If they sell 100 units of Product X and 200 units of Product Y in one month, what is their total revenue for that month? Explain your calculations.\n"} {"instruction": "A chat. There are two buckets of water. Bucket A has a capacity of 10 liters and is filled with 7 liters of water. Bucket B has a capacity of 8 liters and is filled with 6 liters of water. You need to transfer water from bucket A to bucket B until either bucket A is empty or bucket B is full. How much water will be left in bucket A after this process?"} {"instruction": "A chat. In a family of 6, there are two parents and four children. The father is older than the mother. The oldest child is younger than the mother but older than all other siblings. If we arrange them by age from youngest to oldest, what position does the mother hold?"} {"instruction": "A chat. A train leaves from Station A heading towards Station B, traveling at 60 mph. At the same time, another train leaves from Station B heading towards Station A, traveling at 40 mph. The distance between the two stations is 500 miles. How long will it take for the two trains to meet?"} {"instruction": "A chat. In a school, there are 500 students in total. If 60% of these students are girls, how many boys are there in the school?"} {"instruction": "A chat. If you save $200 per month for 2 years, how much money will you have saved at the end of this period?"} {"instruction": "A chat. A store sells two types of candies - type A and type B. The price of type A candy is $1.50 each, and the price of type B candy is $2.00 each. If a customer buys a total of 15 candies and spends $25, how many candies of each type did they buy?"} {"instruction": "A chat. A factory produces 200 widgets per day, and each widget has a 2% chance of being defective. What is the expected number of defective widgets produced by the factory in one week?"} {"instruction": "A chat. If a store offers a 25% discount on an item that originally costs $80, and then adds a 10% sales tax to the discounted price, what will be the final cost of the item?"} {"instruction": "A chat. In a class of 30 students, 18 are taking English and 15 are taking Math. If 10 students are taking both English and Math, how many students are not taking either subject?"} {"instruction": "A chat. In a class of 30 students, 15 are boys and 15 are girls. If there are 6 pairs of twins in the class, how many students do not have a twin?"} {"instruction": "A chat. A train travels from City A to City B, then from City B to City C. The distance between City A and City B is 200 miles, and the distance between City B and City C is 300 miles. If the train travels at an average speed of 50 miles per hour for the entire journey, how long does it take to travel from City A to City C?"} {"instruction": "A chat. A sports league is organizing a tournament with 32 teams participating. Each team will play one game per week, and the tournament will follow a single-elimination format, meaning that a team is eliminated after losing one game. Calculate the total number of games required to determine the champion and estimate the duration of the tournament in weeks, taking into account potential scheduling conflicts and the need for rest days between games.\n"} {"instruction": "A chat. A company has 80 employees, and they want to distribute a bonus pool of $40,000 among them. If each employee receives an equal share of the bonus pool, how much will each employee receive?"} {"instruction": "A chat. A store offers a discount on bulk purchases such that if you buy 2 items, you get a 10% discount; if you buy 3 items, you get a 20% discount; and if you buy 4 or more items, you get a 30% discount. If an item costs $50, how much would you save by purchasing 5 items instead of just 1?"} {"instruction": "A chat. Tom is twice as old as Jerry. Jerry is 5 years younger than Alice. If Alice is 25 years old, how old will Tom be in 10 years?"} {"instruction": "A chat. A store sells shirts in three sizes: small, medium, and large. The store has twice as many medium shirts as small shirts, and three times as many large shirts as medium shirts. If the store has a total of 156 shirts, how many of each size does it have?"} {"instruction": "A chat. You have a jar containing black and white marbles. If you randomly pick a marble, the probability of getting a black marble is 1/3. If there are 30 marbles in total, how many black marbles are there? Provide step-by-step logic."} {"instruction": "A chat. A professional sports team is analyzing its ticket sales to optimize revenue. The stadium has a seating capacity of 60,000, with three tiers of seating: lower level (30,000 seats), middle level (20,000 seats), and upper level (10,000 seats). Ticket prices vary by tier, with lower-level tickets priced at $100, middle-level tickets at $75, and upper-level tickets at $50. Calculate the maximum potential revenue from ticket sales, as well as the average ticket price across all tiers. Additionally, suggest strategies to increase attendance and revenue based on these calculations.\n"} {"instruction": "A chat. A company has a revenue of $50,000 per month and spends $30,000 on fixed costs and 25% of its revenue on variable costs. What is the company's monthly profit?"} {"instruction": "A chat. A theme park wants to optimize its ticket pricing strategy based on visitor attendance patterns. The park has a maximum daily capacity of 10,000 visitors and charges $60 per ticket. On weekends, the park reaches full capacity, but on weekdays, it only attracts 60% of its maximum capacity. The park management is considering offering discounted weekday tickets at $40 each to attract more visitors. Estimate the impact of this change on the park's weekly revenue and provide step-by-step reasoning.\n"} {"instruction": "A chat. A factory produces 200 widgets per day. Each widget is inspected by three different inspectors. If each inspector can inspect 100 widgets per day, how many days does it take to inspect all the widgets produced in one day?"} {"instruction": "A chat. Calculate the volume of a sphere with a radius of 4 cm. (Use the formula V = (4/3)\u03c0r^3)"} {"instruction": "A chat. In a game, John scores twice as many points as Mary. If Mary scored 15 points, how many points did John score? Show your thought process."} {"instruction": "A chat. A farmer has 15 cows and 9 goats on his farm. Each cow produces an average of 3 gallons of milk per day, while each goat produces an average of 1 gallon of milk per day. How much milk does the farmer collect in a week?"} {"instruction": "A chat. A train takes 4 hours to travel between two cities with an average speed of 75 miles per hour. What is the distance between the two cities?"} {"instruction": "A chat. If all squares are rectangles, and all rectangles have four sides, do all squares have eight corners?"} {"instruction": "A chat. In a group of 30 people, 20 have cats, 15 have dogs, and 10 have both cats and dogs. How many people in the group have neither cats nor dogs? Provide step-by-step logic."} {"instruction": "A chat. A large supermarket chain wants to analyze its inventory management system to minimize food waste. The company has 500 stores nationwide, with an average of 50,000 items in stock per store. On average, 5% of perishable items are discarded due to spoilage or expiration. The average retail value of these items is $2 per item. Calculate the total annual loss due to food waste and propose a strategy to reduce waste by 20%, including any necessary investments and expected return on investment.\n"} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" All the labels are incorrect. You can pick one fruit from one box without looking inside. How can you determine the contents of all three boxes?"} {"instruction": "A chat. Show that the Riemann zeta function \u03b6(s) has a pole at s=1"} {"instruction": "A chat. If a rectangle has an area of 84 square units and its length is 12 units, what is its width?"} {"instruction": "A chat. A large agricultural company is planning to introduce new farming techniques to increase crop yields and reduce water consumption. They currently operate 100 farms across various climate zones, with different crops grown at each location. Calculate the potential increase in yield and water savings associated with implementing these new techniques, considering factors such as soil type, rainfall patterns, and irrigation systems. Provide a step-by-step reasoning for your calculations."} {"instruction": "A chat. If a book has 300 pages and you read 20 pages a day, how long will it take you to finish the book? Please explain your process."} {"instruction": "A chat. A factory produces two types of widgets: Type A and Type B. It takes 2 hours to produce one unit of Type A widget and 3 hours to produce one unit of Type B widget. If the factory operates for 120 hours per week, how many units of each type of widget can be produced in a week if the production ratio is maintained at 3:2 (Type A:Type B)?"} {"instruction": "A chat. In a game of rock-paper-scissors, Peter wins against Paul, who wins against Mary, who wins against Peter. What can we conclude about their choices?"} {"instruction": "A chat. A sports event organizer is planning a marathon race that will have 5,000 participants. Each participant must pay a registration fee of $50, which covers the cost of organizing the event, as well as providing water stations, medical support, and finisher medals. Additionally, the organizer wants to donate 25% of the total revenue generated from registration fees to a local charity. Calculate the total amount that will be donated to the charity and provide step-by-step reasoning."} {"instruction": "A chat. In a bag, there are 10 red balls, 20 blue balls, and 30 green balls. You randomly pick two balls from the bag without replacement. What is the probability that both balls you picked are the same color?"} {"instruction": "A chat. In a town, there are 5 families. Each family has at least one child. Family A has 3 children, Family B has 2 children, and Family C has 4 children. If the total number of children in the town is 17, how many children do Family D and Family E have combined?"} {"instruction": "A chat. A box contains 6 red balls and 4 blue balls. If you randomly pick one ball from the box, what is the probability that it will be a red ball?"} {"instruction": "A chat. A music festival is being organized in a large outdoor venue with multiple stages. The organizers expect 60,000 attendees over three days and want to ensure there are enough restroom facilities available. Industry standards recommend one portable toilet for every 100 attendees. Calculate the total number of portable toilets needed for the event, considering additional requirements for accessibility and staff use. Provide step-by-step reasoning."} {"instruction": "A chat. A factory produces 500 units of a product per day. Due to increasing demand, the factory decides to increase its production by 10% each week. How many units will the factory produce on the 4th week?"} {"instruction": "A chat. In a town, 3 out of every 5 people own cats. If there are 200 people in the town, how many people do not own cats?"} {"instruction": "A chat. If a company has 200 employees and decides to increase its workforce by 15%, how many new employees will be hired, and what will the total number of employees be after the hiring?"} {"instruction": "A chat. A train travels at a constant speed from Station A to Station B, which are 120 miles apart. The train takes 2 hours to complete the journey. On its return trip, the train stops at Station C, which is halfway between Station A and Station B. How long does the entire round trip take, including the stop at Station C?"} {"instruction": "A chat. A factory produces 250 units of product A in one day. Due to increased demand, they decide to boost production by 20%. How many additional units of product A will be produced per day, and what will be the new daily production rate?"} {"instruction": "A chat. In a class of 30 students, 60% passed an exam. Of those who passed, 20% scored distinction. How many students scored a distinction? Include your reasoning."} {"instruction": "A chat. Calculate the derivative of the function g(x) = x^3 - 4x^2 + 6x - 1. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A store sells a pack of 10 pencils for $3 and a pack of 5 erasers for $4. If you want to buy an equal number of pencils and erasers, how much would it cost to purchase 20 of each item?"} {"instruction": "A chat. There are 12 apples on a table. You take away 4 apples, then add 6 more apples. How many apples are left on the table?"} {"instruction": "A chat. Alice can paint a room in 5 hours, while Bob can do it in 7 hours. If they start painting together at 9 AM, what time will they finish painting the room?"} {"instruction": "A chat. There is a line of people waiting at a bus stop. John is standing behind Jane, who is standing behind Jim. Jessica is standing behind John but in front of Jill. Who is standing third from the front of the line?"} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. The mayor decides to paint the house numbers with blue or red color. He paints all even-numbered houses with blue and all odd-numbered houses with red. How many more blue houses are there than red houses?"} {"instruction": "A chat. How many possible combinations of a 4-digit lock can be created if each digit can range from 0 to 9, and no digit is repeated?"} {"instruction": "A chat. There are 3 cats in a room, each cat sees 6 legs. How many birds are in the room? Explain step-by-step."} {"instruction": "A chat. How many possible combinations of 4-digit numbers can be formed using the digits 1, 2, 3, and 4 without repeating any digit?"} {"instruction": "A chat. In a room, there are 15 people. Each person shakes hands with every other person exactly once. How many handshakes occur in total?"} {"instruction": "A chat. Solve: (4x - 2) / 3 + 5 = 9"} {"instruction": "A chat. If you drive at an average speed of 60 mph for 3 hours and then at an average speed of 80 mph for another 2 hours, what is your total distance traveled?"} {"instruction": "A chat. In a town, there are 5 houses in each street, and there are 10 streets in each block. There are 20 blocks in the town. How many houses are there in the town?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding electric buses to the existing fleet. The city currently has 100 diesel buses, and they want to replace 50% of them with electric buses over the next five years. Each electric bus costs $500,000, and the city can allocate $2 million per year for this project. Calculate how many electric buses the city can purchase each year and determine if they will achieve their goal within the given time frame. Also, consider that the maintenance cost of an electric bus is 20% less than a diesel bus, which costs $30,000 annually. Calculate the total savings in maintenance costs after the replacement.\n"} {"instruction": "A chat. A telecommunications company wants to upgrade its network infrastructure to provide better coverage and faster internet speeds to its customers. They need to decide how many new cell towers to install and where to place them to achieve optimal results. Calculate the number of cell towers needed, considering factors such as population density, geographical features, and existing network coverage. Explain your reasoning.\n"} {"instruction": "A chat. A plane can carry up to 180 passengers. If there are already 135 passengers on board, how many more passengers can the plane accommodate?"} {"instruction": "A chat. A group of friends went to a restaurant and ordered 3 pizzas. Each pizza was cut into 8 slices. If each person ate 2 slices, how many people were in the group?"} {"instruction": "A chat. A shipping company wants to optimize its cargo transportation by using a combination of trucks and trains. Each truck can carry 20 tons of cargo and costs $1000 per trip, while each train car can carry 60 tons of cargo and costs $2500 per trip. The company needs to transport 500 tons of cargo within a week. Determine the optimal number of trucks and train cars needed to minimize transportation costs while meeting the required capacity.\n"} {"instruction": "A chat. In a city with a population of 500,000 people, 40% own cars and 30% own bicycles. Assuming that everyone who owns a car also owns a bicycle, what percentage of the population does not own any vehicle?"} {"instruction": "A chat. There are 5 houses in a row, each painted a different color. The green house is immediately to the left of the white house. The owner of the red house drinks coffee. The person living in the blue house has a cat. The person who drinks tea lives in the middle house. Who owns the dog?"} {"instruction": "A chat. A group of friends decides to order pizza for dinner. They want to split the cost evenly among themselves. If they order 4 pizzas at $12 each and 3 sodas at $2 each, how much will each person pay if there are 5 people in the group?"} {"instruction": "A chat. If a store sells 3 pairs of socks for $5, how much would it cost to buy enough socks for a soccer team with 11 players?"} {"instruction": "A chat. In a class of 40 students, 75% passed their math exam and 60% passed their science exam. If every student who passed their science exam also passed their math exam, what percentage of the class passed both exams?"} {"instruction": "A chat. A store sells 5 different types of candy. How many ways can you choose 3 candies if you are allowed to pick more than one of the same type?"} {"instruction": "A chat. A bag contains 4 red balls, 6 blue balls, and 10 green balls. If you randomly pick one ball from the bag, what is the probability that it will not be a green ball?"} {"instruction": "A chat. A national park wants to improve its trail system by adding new hiking trails and upgrading existing ones. The park currently has 100 miles of trails, with an average maintenance cost of $500 per mile per year. The proposed expansion would add another 50 miles of trails, but these new trails are expected to have higher maintenance costs due to more challenging terrain. Estimate the annual maintenance budget required for the expanded trail system, taking into account the differences in maintenance costs between the existing and new trails.\n"} {"instruction": "A chat. A group of people decide to play a game where each person shakes hands with everyone else exactly once. If there were a total of 45 handshakes, how many people were in the group? Show your work."} {"instruction": "A chat. What is the sum of all prime numbers between 50 and 100?"} {"instruction": "A chat. A rectangular garden measures 15 meters in length and 8 meters in width. If a gardener wants to plant flowers along the entire perimeter of the garden, leaving 1 meter between each flower, how many flowers will they need?"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 15 meters. If you want to increase the area of the garden by 50% while keeping its shape as a rectangle, what should be the new dimensions?"} {"instruction": "A chat. If a car rental company has 50 cars and rents them out at an average rate of $30 per day, how much revenue will they generate in one month if their occupancy rate is 80%?"} {"instruction": "A chat. A spider has 8 legs. How many spiders would there be if you counted 64 legs? Use logical reasoning."} {"instruction": "A chat. A factory produces 5000 units of a product every day. How many units will it produce in 3 weeks?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. It takes the train 2 hours to travel from Town A to Town B. How long would it take for a car traveling at 45 miles per hour to travel the same distance?"} {"instruction": "A chat. A factory produces two types of widgets: Type A and Type B. Type A widgets are produced at a rate of 120 per hour, while Type B widgets are produced at a rate of 80 per hour. If the factory operates for 10 hours a day, how many widgets are produced in one day?"} {"instruction": "A chat. A hospital is conducting research on the effectiveness of a new therapy program for patients with chronic pain. The program lasts 12 weeks, with two sessions per week. Each session costs $100 per patient. There are 300 participants in the study, and the hospital offers financial assistance to 30% of the participants, covering 70% of the therapy cost. Calculate the total cost of the therapy program for all participants, factoring in the financial assistance provided by the hospital. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a small town, there are 5 barbers. Each barber has a different number of customers per day. Barber A has 10 more customers than Barber B. Barber C has half the number of customers as Barber D. Barber E has 15 fewer customers than Barber D. If the total number of customers for all barbers is 200 per day, how many customers does each barber have?"} {"instruction": "A chat. In a triangle with sides of length 13, 14, and 15, what is the area of the triangle?"} {"instruction": "A chat. In a small town, there are 10 houses on one side of the street and 15 houses on the other side. If each house has an even number of people living in it, does this mean that there is an even total number of people living on both sides of the street?"} {"instruction": "A chat. A store sells apples and oranges. The price of an apple is twice the price of an orange. If you buy 3 apples and 5 oranges, the total cost is $11. What is the price of one apple?"} {"instruction": "A chat. In a city, there are 5 hospitals. Each hospital has 4 wards. Each ward has 10 rooms. How many rooms are there in all the hospitals combined? Show your work."} {"instruction": "A chat. Solve the differential equation dy/dt = ky, where k is a constant."} {"instruction": "A chat. A snail starts climbing up a 30-foot wall. Each day it climbs 3 feet, but each night it slides back down 2 feet. How many days will it take for the snail to reach the top of the wall?"} {"instruction": "A chat. A square has a side length of 10 cm. If you cut out a smaller square with a side length of 4 cm from one corner of the larger square, what is the area of the remaining shape?"} {"instruction": "A chat. A store sells two types of pens - blue pens for $1.50 each and red pens for $2.00 each. If a customer buys a total of 12 pens and spends $22.50, how many blue and red pens did they buy?"} {"instruction": "A chat. If a person lives for 80 years, how many seconds does their life span cover? Include your calculations."} {"instruction": "A chat. Calculate the sum of the first 50 terms of an arithmetic sequence with a common difference of 3 and a first term of 2."} {"instruction": "A chat. Solve: ((7 - 2)^2 + (9 / 3) - 1) * 4 ="} {"instruction": "A chat. There are 5 cats in a room. Each cat catches 4 mice. However, for every mouse caught by a cat, two more mice enter the room. How many mice are there in the room after all the cats catch their mice?"} {"instruction": "A chat. A hospital wants to improve its emergency response time by implementing a new triage system. Currently, it takes an average of 15 minutes to assess a patient's condition and assign them to the appropriate treatment area. The hospital aims to reduce this time by 30%, without compromising the quality of care. Calculate the target assessment time and describe how the hospital could achieve this goal by modifying staffing levels, training, or other factors.\n"} {"instruction": "A chat. An international shipping company wants to optimize its cargo transport between two major ports. The distance between the ports is 5000 nautical miles, and each ship has a maximum speed of 20 knots. Each ship can carry up to 1000 containers, but the company needs to transport 25,000 containers within a month. Calculate the minimum number of ships required to meet this demand, taking into account factors like loading/unloading times, fuel consumption, and weather conditions. Explain your calculations.\n"} {"instruction": "A chat. In a group of people, 40% have brown eyes, 30% have green eyes, and the remaining 30% have blue eyes. If two people are randomly selected from this group, what is the probability that they both have brown eyes? Provide step-by-step logic."} {"instruction": "A chat. A company's revenue increased by 15% in the first year, decreased by 10% in the second year, and increased by 20% in the third year. What is the overall percentage change in revenue from the beginning of the first year to the end of the third year?"} {"instruction": "A chat. A construction company is bidding on a contract to build a bridge. The bridge will span 1,000 feet and require 500 tons of steel and 200 cubic yards of concrete. Steel costs $800 per ton, and concrete costs $120 per cubic yard. Labor costs are estimated at $25,000 per month, and the project is expected to take 18 months to complete. Calculate the total cost of materials and labor for the project, as well as the average monthly expenditure. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a group of people, 60% have brown eyes, and 40% have blue eyes. If there are 24 more people with brown eyes than blue eyes, how many people are in the group?"} {"instruction": "A chat. A bookstore sells books at an average price of $12 per book. If they sell 250 books on Monday and 350 books on Tuesday, how much revenue do they generate in these two days?"} {"instruction": "A chat. Solve: (4x - 2) / 6 + 3 = 5."} {"instruction": "A chat. In a small town, there are 3 doctors. Each doctor has 4 patients. Half of the patients have cats, and one-third of the patients with cats also have dogs. How many patients in this town have both cats and dogs?"} {"instruction": "A chat. If a concert hall has 30 rows of seats with 20 seats in each row, and 75% of the seats are occupied, how many people are attending the concert?"} {"instruction": "A chat. A factory produces 300 units of a product per day. The factory operates for 20 days in a month and has a defect rate of 2%. How many defective units will the factory produce in a year?"} {"instruction": "A chat. A factory produces 200 units of a product every day. Each unit is inspected for defects before being shipped. If 5% of the units produced have defects, how many defective units will the factory produce in a week (7 days)?"} {"instruction": "A chat. In a small town, there is a bakery that sells only bread and pastries. All people who buy bread also buy pastries. If 60% of the customers buy bread, what percentage of customers buy pastries?"} {"instruction": "A chat. A store offers a 20% discount on all items during a sale. If a customer buys an item with an original price of $75, how much will they pay after applying the discount and a 7% sales tax?"} {"instruction": "A chat. A car rental company charges a flat fee of $20 per day plus an additional 15 cents per mile driven. If you rent the car for 3 days and drive it for 150 miles, how much will the total cost be?"} {"instruction": "A chat. A train leaves from Station A towards Station B at 60 mph. At the same time, another train leaves from Station B towards Station A at 80 mph. If the distance between the two stations is 280 miles, how long will it take for the trains to meet?"} {"instruction": "A chat. A box contains red, blue, and green balls. There are twice as many red balls as blue balls, and three times as many green balls as red balls. If there are 72 balls in total, how many of each color are there?"} {"instruction": "A chat. A factory produces 500 units of product A every day. The production cost per unit is $15, and the selling price per unit is $25. What is the factory's profit after 30 days?"} {"instruction": "A chat. (8 - 2)^2 + 4(3x - 7) = 18"} {"instruction": "A chat. A factory produces 200 widgets per hour. Due to increasing demand, they decide to increase production by 25%. How many widgets will the factory produce in one day after the increase?"} {"instruction": "A chat. A baker uses 3 eggs to make a cake. How many cakes can he make with 27 eggs? Show your steps."} {"instruction": "A chat. A baker makes 10 loaves of bread every hour. How many loaves does he make in a week if he works 8 hours a day, 6 days a week? Explain your reasoning."} {"instruction": "A chat. A jar contains 5 red marbles, 7 green marbles, and 8 blue marbles. If you draw two marbles without replacement, what is the probability that both marbles are the same color?"} {"instruction": "A chat. A baker uses 3 eggs to make a cake. If he has 18 eggs, how many cakes can he bake? Show your steps."} {"instruction": "A chat. In a class of 40 students, 25% scored an A on a test, while 30% scored a B, and the remaining students scored a C or lower. How many more students scored a B than an A?"} {"instruction": "A chat. There are 30 students in a class. Among them, 16 students play soccer, 20 students play basketball, and 10 students play both soccer and basketball. How many students do not play either soccer or basketball?"} {"instruction": "A chat. An international hotel chain is evaluating the profitability of its properties in different regions. They want to determine the average occupancy rate, revenue per available room (RevPAR), and average daily rate (ADR) for each property. Using data on the number of rooms, nightly rates, and total revenue for each hotel, calculate these key performance indicators and provide a detailed explanation of your methodology.\n"} {"instruction": "A chat. A train travels from City A to City B in 4 hours. Another train travels from City B to City C in 6 hours. If the distance between City A and City B is 240 miles, and the distance between City B and City C is 360 miles, which train is faster?"} {"instruction": "A chat. Write down the first five terms of the Fibonacci sequence."} {"instruction": "A chat. In a class of 30 students, 12 play soccer, 8 play basketball, and the rest play neither sport. How many students play both soccer and basketball?"} {"instruction": "A chat. If a basketball player makes 70% of their free throws and attempts 12 free throws in a game, what is the probability they make exactly 8 of them?"} {"instruction": "A chat. If I drink 8 glasses of water each day, how many glasses of water do I drink in a year? Assume a year has 365 days. Walk me through your thinking."} {"instruction": "A chat. A large supermarket chain is looking to optimize its inventory management system by implementing a just-in-time (JIT) approach. The company operates 200 stores across the country, each carrying an average of 50,000 different products. Calculate the potential savings in inventory holding costs by adopting JIT and outline the steps required to implement this strategy across all stores.\n"} {"instruction": "A chat. A large hospital needs to determine the number of beds required in their Intensive Care Unit (ICU) based on patient admission data from the past five years. On average, there were 200 ICU admissions per month, with patients staying in the ICU for an average of 4 days. The hospital wants to maintain an occupancy rate of no more than 85%. Calculate the minimum number of ICU beds needed to meet this requirement, providing step-by-step reasoning.\n"} {"instruction": "A chat. If you were to lay out all the DNA in your body end-to-end, how long would it be?"} {"instruction": "A chat. Solve the system of equations: 3x + y = 7 and x - 2y = 4."} {"instruction": "A chat. A snail starts climbing a tree at a constant speed. It takes the snail 5 hours to climb halfway up the tree. If the snail continues at the same speed and decides to take a 1-hour break before continuing, how long will it take for the snail to reach the top of the tree?"} {"instruction": "A chat. Four friends have different amounts of money. Alice has more money than Bob but less money than Carol. Dave has more money than Carol. Who has the least amount of money?"} {"instruction": "A chat. A sports stadium is upgrading its seating capacity by adding more rows of seats to the existing structure. The current capacity is 50,000 spectators, with an average of 20 seats per row. The expansion project aims to increase the capacity by 10,000 additional seats. Determine how many new rows need to be added and calculate the impact on the overall spectator experience in terms of viewing angles and distance from the field.\n"} {"instruction": "A chat. A multinational corporation is planning to expand its operations by opening new offices in five different countries over the next two years. Each office will have an initial staff of 100 employees, with plans to grow to 500 employees within five years. Calculate the total number of workstations, meeting rooms, and other facilities needed for each office at full capacity, considering that each employee requires 1 workstation, there should be 1 meeting room per 25 employees, and additional facilities such as break rooms and restrooms account for 10% of the total space. Provide step-by-step calculations.\n"} {"instruction": "A chat. A watch loses 2 minutes every hour. The watch showed the correct time at noon on Monday. When will the watch show the correct time again?"} {"instruction": "A chat. Given the power series \u2211a_n * x^n, find the radius of convergence if a_n = (-1)^n / (n+1)."} {"instruction": "A chat. Three friends, Alice, Bob, and Carol, have different amounts of money in their wallets. If Alice gives half her money to Bob, she will have the same amount as Carol. If Bob gives half his money to Carol, he will have the same amount as Alice. Who has the most money?"} {"instruction": "A chat. There are 20 students in a class. If 12 students have brown eyes and the rest have blue eyes, what percentage of the class has blue eyes?"} {"instruction": "A chat. In an election, candidate A received 55% of the total votes cast, while candidate B received 35%. If there were 12,000 eligible voters and 90% of them voted, how many more votes did candidate A receive than candidate B?"} {"instruction": "A chat. In a bag, there are 10 red balls, 15 blue balls, and 20 green balls. If you randomly pick one ball from the bag without looking, what is the probability that it is either red or blue?"} {"instruction": "A chat. If a factory produces 500 units of product A and 300 units of product B every day, how many total products will be produced in the month of February during a non-leap year?"} {"instruction": "A chat. In a class of 40 students, 25% are left-handed. If 5 more left-handed students join the class, what percentage of the class will be left-handed?"} {"instruction": "A chat. Emily has twice as many cats as dogs. She also has 3 more birds than cats. If she has a total of 23 pets, how many dogs does Emily have?"} {"instruction": "A chat. A train travels from City A to City B in 2 hours. The distance between the two cities is 120 miles. If the train makes a stop for 15 minutes at a station halfway through the journey, how long does it take to travel the entire distance without stopping?"} {"instruction": "A chat. A hotel chain is planning to open a new luxury resort on a tropical island. The resort will have 200 rooms, including standard rooms, suites, and villas. The pricing structure is as follows: $300 per night for a standard room, $500 per night for a suite, and $1,000 per night for a villa. Calculate the maximum potential revenue for the resort during peak season (90 days), assuming full occupancy and a breakdown of 60% standard rooms, 30% suites, and 10% villas.\n"} {"instruction": "A chat. A large hospital needs to calculate its daily oxygen supply requirements for patients in critical care units. On average, there are 100 patients in critical care, with 60% requiring high-flow oxygen therapy (15 liters per minute), 30% requiring medium-flow oxygen therapy (10 liters per minute), and 10% requiring low-flow oxygen therapy (5 liters per minute). Oxygen is supplied in cylinders, each containing 6,000 liters of oxygen. Determine how many cylinders the hospital needs per day to meet the demand, considering a safety margin of 20%. Provide step-by-step calculations.\n"} {"instruction": "A chat. Solve the equation: 3x - 7 = 2(x - 4) + x"} {"instruction": "A chat. A committee consists of 5 members. The committee must elect a president, vice-president, and secretary from its members. How many different ways can these positions be filled? Provide step-by-step logic."} {"instruction": "A chat. A rectangular garden measures 15 meters in length and 8 meters in width. What is the area of the garden in square meters, and how many square meters would be added if the width was increased by 50%?"} {"instruction": "A chat. A zoo is planning to expand its facilities by adding new enclosures for various animal species. The expansion will cover an area of 100,000 square feet and include enclosures for elephants, giraffes, lions, and zebras. Each enclosure should have a minimum size based on the following requirements: elephants - 20,000 sq ft, giraffes - 15,000 sq ft, lions - 10,000 sq ft, and zebras - 5,000 sq ft. Determine how many enclosures can be built for each species while maximizing the use of available space. Explain your calculations.\n"} {"instruction": "A chat. If a car rental company has 200 cars and rents out 60% of them, how many cars are still available for rent?"} {"instruction": "A chat. An airport is expanding its terminal to accommodate more flights and passengers. Currently, there are 20 gates available, and the expansion will add another 15 gates. On average, each gate handles 6 flights per day, with an average of 150 passengers per flight. With the additional gates, the airport expects to increase the number of flights per gate to 8 per day. Calculate the total number of passengers the expanded airport can handle daily, as well as the percentage increase in passenger capacity compared to the current situation. Explain your reasoning.\n"} {"instruction": "A chat. You are trapped in a room with three doors. Behind the first door is a room filled with poisonous gas. Behind the second door is a room full of deadly lasers. Behind the third door is a room with a hungry lion that hasn't eaten in three months. Which door should you choose to escape?"} {"instruction": "A chat. A theme park is evaluating the efficiency of its food service operations. They currently have 10 food stands throughout the park, each serving an average of 300 customers per day. On average, customers spend 15 minutes waiting in line and 10 minutes ordering and receiving their food. Develop a plan to reduce customer wait times by optimizing food stand locations, menu offerings, and staffing levels, providing step-by-step reasoning.\n"} {"instruction": "A chat. A snail climbs up a wall during the day and slides back down while sleeping at night. Each day, the snail climbs 3 feet and each night it slides down 2 feet. If the wall is 30 feet high, how many days will it take for the snail to reach the top? Show your work."} {"instruction": "A chat. A train travels from Town A to Town B at an average speed of 60 mph. The return journey takes 1 hour longer due to a lower average speed of 40 mph. If the total travel time for both journeys is 9 hours, what is the distance between Town A and Town B?"} {"instruction": "A chat. In a small town, there are 20 houses on one side of the street and 30 houses on the other side. Each house has 4 people living in it. If every person from each house shakes hands with every person from the opposite side of the street only once, how many handshakes will take place?"} {"instruction": "A chat. If it takes 5 workers 3 hours to build a wall, how long will it take 15 workers to build the same wall?"} {"instruction": "A chat. A train leaves a station at 6 PM and travels east at 60 miles per hour. Another train leaves the same station at 8 PM and travels west at 80 miles per hour. At what time will they be 420 miles apart?"} {"instruction": "A chat. A train leaves Station A heading towards Station B, which is 100 miles away. At the same time, another train leaves Station B heading towards Station A. Train A travels at a speed of 40 mph, while Train B travels at a speed of 60 mph. When the trains pass each other, how far would Train A have traveled?"} {"instruction": "A chat. In a class of 30 students, 12 play football, 18 play basketball, and 8 play both sports. How many students don't play either sport? Provide step-by-step logic."} {"instruction": "A chat. If I flip a coin three times, what is the probability that I will get exactly two heads? Show your reasoning."} {"instruction": "A chat. ((6 - 2)^2 * 3 + 12 / 4) - 5 * 4 ="} {"instruction": "A chat. A car rental company charges a flat fee of $20 per day to rent a car plus an additional 15 cents per mile driven. If you rent a car for 5 days and drive it for 200 miles, how much will you be charged?"} {"instruction": "A chat. An amusem*nt park wants to add a new roller coaster to attract more visitors. The roller coaster's design includes several loops, sharp turns, and steep drops, requiring a minimum height requirement of 48 inches for riders. Based on previous visitor data, 65% of park attendees meet this height requirement. If the park expects 10,000 visitors per day during peak season, estimate the number of potential riders for the new roller coaster and the daily revenue it could generate, assuming a ticket price of $10 per ride. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A car rental company charges $50 per day for renting a car and an additional $0.15 per mile driven. If a customer rents a car for 5 days and drives it for 600 miles, what is the total cost of the rental?"} {"instruction": "A chat. A bakery wants to expand its product offerings by adding gluten-free options. They plan to dedicate 20% of their production capacity to gluten-free products. Currently, they produce 10,000 units of baked goods daily, with an average cost of $1 per unit. The cost of producing gluten-free items is estimated to be 50% higher than regular products. Calculate the daily production quantity and cost for both regular and gluten-free items, considering the planned expansion."} {"instruction": "A chat. If a person burns an average of 300 calories per hour while walking, how many calories will they burn in 45 minutes?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed of 60 miles per hour. The distance between the two cities is 240 miles. At the same time as the train departs, a bird starts flying from City A towards City B at a constant speed of 90 miles per hour. When the bird reaches the train, it immediately turns around and flies back towards City A. It continues doing this until the train arrives at City B. How far does the bird fly in total?"} {"instruction": "A chat. A recipe calls for 2 cups of sugar to make a batch of cookies that yields 24 cookies. If you want to make 72 cookies, how many cups of sugar will be needed?"} {"instruction": "A chat. How many times does the International Space Station (ISS) orbit the Earth in one week?"} {"instruction": "A chat. A train travels at a speed of 80 kilometers per hour for 3 hours and 15 minutes. How far does it travel?"} {"instruction": "A chat. There are 5 red balls and 3 blue balls in a bag. If you randomly pick one ball out of the bag and then another without replacing the first ball, what is the probability that both balls will be red?"} {"instruction": "A chat. A store sells apples and oranges. The price of an apple is $1.50, while the price of an orange is $1.00. If a customer buys a total of 15 fruits and spends $18.00, how many apples and oranges did they buy?"} {"instruction": "A chat. A committee of 3 people needs to be formed from a group of 9 people. How many different committees can be created?"} {"instruction": "A chat. How many distinct triangles can be formed using any three vertices of a regular octagon?"} {"instruction": "A chat. Calculate the sum of the infinite geometric series: 5 + (-2) + (4/5) + ..."} {"instruction": "A chat. A bus leaves from Station A every 30 minutes and arrives at Station B after an hour. Another bus leaves from Station B every 45 minutes and reaches Station A after an hour. If both buses leave their respective stations at 9 AM, when will they meet each other for the first time?"} {"instruction": "A chat. A square garden measures 10 feet by 10 feet. A gardener wants to build a circular pond inside the garden such that it touches all four sides of the square. What is the diameter of the pond?"} {"instruction": "A chat. Imagine you are in a sinking rowboat surrounded by sharks. How would you survive? Provide your logic."} {"instruction": "A chat. A sports stadium is planning to upgrade its seating capacity by adding luxury suites and premium seating options. The current seating capacity is 60,000, with general admission tickets priced at $50 each. The proposed upgrades would reduce the number of general admission seats to 55,000 but add 1,000 luxury suite seats priced at $500 each and 4,000 premium seats priced at $150 each. Calculate the expected increase in ticket revenue from these changes, factoring in potential fluctuations in attendance due to team performance and other events held at the stadium.\n"} {"instruction": "A chat. If a car travels at an average speed of 60 miles per hour, how far will it travel in 45 minutes?"} {"instruction": "A chat. In how many ways can you arrange the letters of the word \"MATHEMATICS\" such that no two M's are adjacent?"} {"instruction": "A chat. A factory produces 1,200 widgets per day. Due to an increase in demand, they need to increase production by 50%. How many widgets will they produce daily after the increase?"} {"instruction": "A chat. A logistics company needs to transport goods from a warehouse to various retail stores across the country. They have a fleet of trucks with different capacities: small (5 tons), medium (10 tons), and large (20 tons). Fuel consumption rates are 10 miles per gallon for small trucks, 7 miles per gallon for medium trucks, and 4 miles per gallon for large trucks. Calculate the most efficient way to distribute the goods, considering factors such as distance, fuel costs, and truck availability, given a total shipment weight of 500 tons and a maximum budget of $100,000 for transportation costs.\n"} {"instruction": "A chat. Alice is older than Bob. Bob is younger than Charlie. Is Charlie older than Alice? Explain your reasoning."} {"instruction": "A chat. In a town, there are 100 houses. Each house has either cats or dogs as pets. If each cat owner has exactly 3 cats and each dog owner has exactly 4 dogs, and there are a total of 312 pets in the town, how many houses have cats?"} {"instruction": "A chat. A train travels at a constant speed of 60 mph. If it takes 2 hours for the train to travel between Station A and Station B, how long would it take for the train to travel between Station A and Station C if Station C is twice as far away from Station A as Station B?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 6 feet and a height of 10 feet. What is the volume of the tank in gallons? (Note: 1 cubic foot \u2248 7.48 gallons)"} {"instruction": "A chat. You have two coins in your pocket, one of which is a fair coin (meaning it has a 50% chance of landing heads and a 50% chance of landing tails), and the other is a biased coin (with a 75% chance of landing heads and a 25% chance of landing tails). You randomly pick one of the coins from your pocket and flip it three times, getting heads each time. What is the probability that you picked the fair coin?"} {"instruction": "A chat. Calculate the probability of rolling a sum of 8 on two six-sided dice."} {"instruction": "A chat. A factory produces 1000 widgets per day. Each widget has a 5% chance of being defective. On average, how many defective widgets are produced each day?"} {"instruction": "A chat. There are 5 cats in a room, and each cat has 3 kittens. If one of the kittens leaves the room, how many legs remain in the room?"} {"instruction": "A chat. There are 7 days in a week. How many days are there in 5 weeks? Provide step-by-step logic."} {"instruction": "A chat. A national park is planning a reforestation project to restore its native forest ecosystem. The park covers an area of 10,000 acres, with 30% currently deforested. They plan to plant a mix of tree species, including oak, maple, and pine trees. Oak trees require 20 square feet per tree, maple trees require 15 square feet per tree, and pine trees require 10 square feet per tree. Determine the optimal planting strategy to achieve a balanced distribution of tree species while maximizing forest density. Also, estimate the total cost of the project based on average tree planting costs ($5 per oak tree, $4 per maple tree, and $3 per pine tree).\n"} {"instruction": "A chat. A factory produces 200 units of product A and 300 units of product B each day. Each unit of product A requires 2 hours of labor, while each unit of product B requires 3 hours of labor. How many total hours of labor are required for production in a 30-day month?"} {"instruction": "A chat. If a car's value depreciates by 15% each year, what percentage of its original value will it be worth after 5 years?"} {"instruction": "A chat. A store sells three types of items: small, medium, and large. The store sells twice as many small items as medium items and half as many large items as small items. If the store sells 120 medium items per day, how many total items does it sell per day?"} {"instruction": "A chat. In a town, 25% of the population own cats, 15% own dogs, and 5% own both cats and dogs. What percentage of the population do not own either a cat or a dog? Explain your reasoning."} {"instruction": "A chat. If a bacteria population doubles every 3 hours, how many times will it double in one week?"} {"instruction": "A chat. In a school, there are 100 students who play soccer, 75 students who play basketball, and 50 students who play both soccer and basketball. How many students play either soccer or basketball, but not both?"} {"instruction": "A chat. A theme park is designing a new roller coaster and wants to maximize thrill while ensuring safety. The roller coaster will have a maximum height of 200 feet, a total track length of 4,000 feet, and an average speed of 60 miles per hour. Calculate the number of inversions, drops, and turns needed to achieve the desired thrill level while adhering to safety regulations. Also, estimate the construction cost based on materials, labor, and engineering expertise required.\n"} {"instruction": "A chat. In a bag containing 6 red balls and 4 blue balls, what is the probability of drawing 2 red balls in a row without replacement?"} {"instruction": "A chat. If a car gets 25 miles per gallon and has a 15-gallon fuel tank, how far can it travel on a full tank before running out of gas?"} {"instruction": "A chat. A train travels at an average speed of 60 mph for the first 100 miles of its journey, then increases its speed to 80 mph for the remaining 150 miles. How long does it take for the train to complete its journey?"} {"instruction": "A chat. You have 8 pairs of socks in a drawer. Each pair consists of one black sock and one white sock. If you pull out two socks at random, what is the chance they will be a matching pair? Detail your steps."} {"instruction": "A chat. In a class of 30 students, there are twice as many girls as boys. How many girls and boys are there in the class?"} {"instruction": "A chat. A person drinks an average of 8 glasses of water per day. How many gallons of water does the person drink in a month, assuming there are 30 days in the month and each glass contains 8 ounces of water?"} {"instruction": "A chat. A factory produces 2500 units of product A in 8 hours. How long will it take to produce 3750 units at the same production rate?"} {"instruction": "A chat. If it takes 6 men 8 hours to dig a hole, how long will it take 12 men to dig the same hole?"} {"instruction": "A chat. An online retailer plans to expand its warehouse capacity due to increased demand. The current warehouse has a storage capacity of 100,000 cubic feet, and they want to increase it by 50%. Each pallet occupies 8 cubic feet of space, and the company needs to store an additional 5,000 pallets. Determine whether the expanded warehouse will be able to accommodate the additional pallets and provide step-by-step reasoning.\n"} {"instruction": "A chat. You have a bag with 5 red balls, 3 blue balls, and 2 green balls. What is the probability of picking a red ball from the bag without looking? Show your steps."} {"instruction": "A chat. A company has a fixed monthly cost of $10,000 and a variable cost of $5 per unit produced. If they produce 3000 units in a month and sell them at a price of $15 per unit, what is their profit for that month?"} {"instruction": "A chat. A company produces widgets at a fixed cost of $10,000 per month and a variable cost of $5 per widget. If they sell each widget for $20, how many widgets do they need to sell in order to break even?"} {"instruction": "A chat. If a car travels at an average speed of 50 miles per hour for 3 hours and then at an average speed of 70 miles per hour for another 2 hours, how far does it travel in total?"} {"instruction": "A chat. A car travels at a constant speed of 60 miles per hour. It passes a cyclist who is traveling at a constant speed of 15 miles per hour in the same direction. How long will it take for the car to be 45 miles ahead of the cyclist?"} {"instruction": "A chat. If you have a rectangular garden that is 15 feet long and 8 feet wide, what is the area of the garden?"} {"instruction": "A chat. How many bricks are needed to build a wall that is 30 feet long, 10 feet high, and 0.75 feet thick if each brick measures 8 inches long, 4 inches high, and 2 inches thick?"} {"instruction": "A chat. In a small town, there are 4 barbers. Barber A has more customers than Barber B but fewer customers than Barber C. Barber D has the least number of customers. If we know that Barber A and Barber B together have 40 customers, can we determine how many customers Barber C has?"} {"instruction": "A chat. A university is planning to upgrade its on-campus housing facilities. They have a budget of $8 million for this project. The plan includes renovating three dormitory buildings, with each building having a different number of rooms: Building A has 100 rooms, Building B has 150 rooms, and Building C has 200 rooms. Calculate the individual budgets for each building's renovation, assuming the following allocation: 25% for Building A, 35% for Building B, and 40% for Building C. Estimate the average cost per room for renovations and provide step-by-step reasoning.\n"} {"instruction": "A chat. A box contains red balls and blue balls. The probability of picking a red ball from the box is 3/5. If there are 10 blue balls in the box, how many red balls are in the box?"} {"instruction": "A chat. A snail starts climbing up a 10-foot wall. Each day, the snail climbs 3 feet during daylight hours but slides back down 2 feet at night. How many days will it take for the snail to reach the top of the wall?"} {"instruction": "A chat. Using Laplace transforms, solve the following differential equation: dy/dt + 2y = e^(-t), with initial condition y(0) = 1. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A factory produces 1200 widgets per day. Due to an increase in demand, they decide to increase their production by 15%. How many widgets will they produce after the increase?"} {"instruction": "A chat. How many kilometers does light travel in one hour?"} {"instruction": "A chat. Tom and Jerry are playing a game where they take turns flipping a fair coin. The first person to flip heads wins the game. If Tom goes first, what is the probability that he will win the game?"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 10 meters. If a gardener wants to increase the area of the garden by 50% without changing its shape, what should be the new dimensions of the garden?"} {"instruction": "A chat. A company has 8 employees, and they need to form a committee of 3 people. How many different committees can be formed?"} {"instruction": "A chat. A factory produces 500 units of product A per day and 300 units of product B per day. The factory operates 6 days a week. How many units of both products does the factory produce in one month, assuming four weeks in a month?"} {"instruction": "A chat. In a town, there are 100 houses. If all the red houses have blue doors and all the blue houses have green doors, how many houses have both red walls and green doors?"} {"instruction": "A chat. A company has a revenue of $100,000 in its first year. If the revenue increases by 10% annually, what will be the total revenue for the next three years combined?"} {"instruction": "A chat. Alice has twice as many apples as Bob. Bob has 3 more apples than Carol. If together they have 21 apples, how many apples does Alice have?"} {"instruction": "A chat. A factory produces widgets in three colors: red, blue, and green. The ratio of red to blue widgets is 3:2, and the ratio of blue to green widgets is 4:5. What is the ratio of red to green widgets?"} {"instruction": "A chat. If a person consumes an average of 2000 calories per day, how many calories will they consume in a month with 31 days?"} {"instruction": "A chat. If you were to walk around the equator at an average speed of 3 miles per hour, how long would it take to complete the journey?"} {"instruction": "A chat. Compute the limit as x approaches infinity of (x^2 + 3x)/(2x^2 - x)."} {"instruction": "A chat. If a company produces 5000 units per month at a cost of $10 per unit, how much would it save annually if it could reduce production costs by 15%?"} {"instruction": "A chat. A store sells three types of apples: red, green, and yellow. If there are twice as many red apples as green apples, and half as many yellow apples as red apples, what is the ratio of red to green to yellow apples if there are 120 total apples?"} {"instruction": "A chat. A store sells bags of candy with a regular price of $4 per bag. If there is a sale offering a 25% discount on each bag, how much would you pay for 6 bags?"} {"instruction": "A chat. A sports league wants to create a schedule for its upcoming season. There are 12 teams in the league, and each team must play every other team twice (once at home and once away). Each team can only play one game per week, and the season should last as few weeks as possible. Determine the total number of games to be played and the minimum number of weeks required to complete the season, providing step-by-step reasoning.\n"} {"instruction": "A chat. A large hotel chain plans to renovate its properties to increase room occupancy rates. Currently, the average occupancy rate across all hotels is 70%, with a total of 10,000 rooms available. The renovation project will add an extra 2,000 rooms and is expected to increase the occupancy rate to 80%. Calculate the additional revenue generated by this project, assuming an average room rate of $150 per night and a renovation cost of $50 million.\n"} {"instruction": "A chat. There are 100 people in a room. Half of them have blue eyes, and the other half have green eyes. If 20% of the blue-eyed people wear glasses and 30% of the green-eyed people wear glasses, what percentage of the total people in the room wear glasses?"} {"instruction": "A chat. A factory produces 1000 widgets per day. Of these, 5% are defective. An inspector randomly selects 10 widgets from the production line. What is the probability that at least one of the selected widgets is defective?"} {"instruction": "A chat. A man has 4 daughters. Each daughter has 3 brothers. How many sons does the man have?"} {"instruction": "A chat. Alice can paint a house in 5 hours, while Bob can do it in 7 hours. They start painting together but after 2 hours, Alice has to leave for an emergency. How long will it take Bob to finish painting the remaining part of the house alone?"} {"instruction": "A chat. In a zoo, there are 4 lions, 3 tigers, and 2 bears. How many animal legs are there in total? Show your work."} {"instruction": "A chat. A farmer has chickens and cows on his farm. The total number of animal heads is 50, and the total number of legs is 140. How many chickens and cows does the farmer have?"} {"instruction": "A chat. A store offers a discount on a product. The original price is $150, and the discount rate is 12%. What is the final price after applying the discount?"} {"instruction": "A chat. In a group of people, 60% are wearing glasses, and 40% are not. Among those who wear glasses, 70% also wear hats. What percentage of the entire group is wearing both glasses and hats?"} {"instruction": "A chat. A city is evaluating its public transportation system and wants to increase ridership by improving bus frequency and reducing wait times. The current average wait time for a bus is 15 minutes, and they want to reduce it to 10 minutes during peak hours. Calculate the additional number of buses needed to achieve this goal, considering factors such as route length, travel speed, and passenger capacity."} {"instruction": "A chat. In a class of 30 students, 60% of them play soccer, and 40% of those who play soccer also play basketball. How many students in the class play both soccer and basketball?"} {"instruction": "A chat. A rectangular garden has a length of 20 feet and a width of 12 feet. If you want to increase the area of the garden by 50%, what should be the new dimensions?"} {"instruction": "A chat. If you have a rectangular garden with a length of 30 meters and a width of 20 meters, what is the area of the garden in square meters?"} {"instruction": "A chat. On average, a person blinks about 15 times per minute. How many times does a person blink in a year? Show your work."} {"instruction": "A chat. You have a match and enter a room with a kerosene lamp, an oil heater, and a fireplace with wood. Which do you light first?"} {"instruction": "A chat. A group of people wants to split a bill evenly. If the total bill amount is $240 and each person pays $30, how many people are in the group?"} {"instruction": "A chat. There are 100 red marbles and 100 blue marbles in a bag. You randomly draw one marble at a time without replacing it back into the bag. What is the probability that you will draw exactly 3 red marbles in your first 5 draws?"} {"instruction": "A chat. A factory produces 1000 units of product A every day. Each unit of product A is packed into boxes that can hold 25 units each. How many boxes are needed to pack all the units produced in one day?"} {"instruction": "A chat. There are 100 people in a room. Half of them always tell the truth, and half of them always lie. You ask each person how many liars are in the room. How many different answers will you get?"} {"instruction": "A chat. In a group of 30 people, 17 have brown eyes, 12 have blue eyes, and 1 person has green eyes. If you randomly select two people from the group, what is the probability that both of them have brown eyes?"} {"instruction": "A chat. How many Earths could fit inside Jupiter if Jupiter has a volume of approximately 1.43 \u00d7 10^15 cubic kilometers and Earth has a volume of approximately 1.08 \u00d7 10^12 cubic kilometers?"} {"instruction": "A chat. A box contains 6 black balls and 4 white balls. You randomly draw one ball from the box, note its color, and put it back. Then you draw another ball. What is the probability that both balls drawn are black?"} {"instruction": "A chat. If a person drinks 2 liters of water every day, how much water will they drink in a leap year? Show your work."} {"instruction": "A chat. A company has 500 employees. If the average salary of an employee is $40,000 per year and the company spends an additional 25% on benefits for each employee, what is the total annual cost to the company for salaries and benefits?"} {"instruction": "A chat. A class has 30 students. If every student either plays basketball or soccer but not both, and twice as many students play basketball as those who play soccer, how many students play soccer? Provide step-by-step logic."} {"instruction": "A chat. An airline company is analyzing its flight schedules to optimize efficiency. They currently operate 200 flights per day with an average distance of 1500 miles per flight. Each plane has a seating capacity of 250 passengers, but only 80% of seats are typically occupied. The fuel consumption rate is 5 gallons per mile, and the current price of jet fuel is $3 per gallon. Calculate the daily fuel expenses for the airline, and determine how much money could be saved if they increased their seat occupancy rate by 5%. Explain your reasoning.\n"} {"instruction": "A chat. A company sells a product for $50 per unit and has fixed costs of $10,000 per month. The variable cost per unit is $30. How many units must be sold each month to achieve a monthly profit of $5000?"} {"instruction": "A chat. In a class of 30 students, 18 are boys and 12 are girls. If 6 boys and 4 girls wear glasses, what is the probability that a randomly selected student from the class wears glasses?"} {"instruction": "A chat. How many gallons of water does an average American household use per day if each person uses about 80-100 gallons daily, and there are 2.53 people per household on average?"} {"instruction": "A chat. A factory produces 150 widgets per hour. After each hour, they take a break and production stops for 10 minutes. How many widgets do they produce in an 8-hour shift?"} {"instruction": "A chat. Calculate the surface area and volume of a sphere with a radius of 6 cm. Explain each step in your calculation.\n"} {"instruction": "A chat. A factory produces 3 types of widgets: Type X, Type Y, and Type Z. In a month, they produce 600 units of Type X, 800 units of Type Y, and 400 units of Type Z. If the profit per unit for Type X is $5, for Type Y is $7, and for Type Z is $9, what is the total profit for that month?"} {"instruction": "A chat. A construction company is building a large residential complex consisting of 10 apartment buildings. Each building will have 15 floors, with four apartments per floor. The company estimates that it will take 18 months to complete the project. Calculate the total number of apartments in the complex and estimate the monthly construction progress (number of apartments completed per month) throughout the project duration.\n"} {"instruction": "A chat. A factory produces 500 units of a product every hour. If the factory operates for 16 hours per day and runs for 5 days a week, how many units does it produce in one month (assuming there are 4 weeks in a month)?"} {"instruction": "A chat. A group of friends wants to split a bill evenly among themselves. The total bill is $120, and there are 6 people in the group. However, one person forgot their wallet and cannot contribute. How much should each of the remaining 5 people pay to cover the entire bill?"} {"instruction": "A chat. If a car uses 4 gallons of gas to travel 120 miles, how many gallons of gas will it use to travel 450 miles?"} {"instruction": "A chat. An elevator can carry a maximum weight of 800 kg. If the average weight of a person is 70 kg, what is the maximum number of people the elevator can carry at once? Show your work."} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" Each box contains either only apples, only oranges, or a mix of both fruits. All the labels on the boxes are incorrect. How can you correctly label each box by picking just one fruit from one box?"} {"instruction": "A chat. A train travels from City A to City B at an average speed of 90 km/h and takes 5 hours to complete the journey. How far apart are the two cities?"} {"instruction": "A chat. In a certain city, the ratio of cars to motorcycles is 3:2. If there are 18,000 vehicles in the city, how many motorcycles are there?"} {"instruction": "A chat. In a class of 30 students, 18 play soccer, 20 play basketball, and 22 play volleyball. If 10 students play all three sports, how many students play at least two sports?"} {"instruction": "A chat. A factory produces 500 units of product A per day, which sells for $20 each, and 300 units of product B per day, which sells for $30 each. What is the total revenue generated by the factory in one week from both products?"} {"instruction": "A chat. A bacteria colony doubles in size every hour. If you start with one bacterium at noon, how many bacteria will there be at midnight? Show your work."} {"instruction": "A chat. A group of people went to an amusem*nt park. They decided to ride roller coasters together. If they split into groups of 4, there would be 3 people left without a group. If they split into groups of 5, there would be 2 people left without a group. What is the smallest possible number of people in the group?"} {"instruction": "A chat. A bee visits 20 flowers in a minute. How many flowers does it visit in two and a half hours? Show your work."} {"instruction": "A chat. A honey bee flaps its wings approximately 200 times per second. How many times does a honey bee flap its wings in one hour? Provide step-by-step reasoning."} {"instruction": "A chat. You have 10 apples and you eat 2 every day. How many days until you run out of apples? Show your work."} {"instruction": "A chat. A library has 5000 books. If the number of fiction books is 4 times the number of non-fiction books, how many non-fiction books are there? Include your logic."} {"instruction": "A chat. In a factory, there are 8 machines producing 250 units each per day. Due to increased demand, the factory adds two more machines with the same production capacity. How many units will the factory produce per day after adding the new machines?"} {"instruction": "A chat. In a game, you have a 1/3 chance of winning $100 and a 2/3 chance of losing $50. What is the expected value of playing this game?"} {"instruction": "A chat. In a game, you have a 1/5 chance of winning $50, a 1/10 chance of winning $100, and a 7/10 chance of losing $20. What is your expected value for playing this game?"} {"instruction": "A chat. A train travels from Station A to Station B at a constant speed of 80 miles per hour. The distance between the two stations is 320 miles. If another train leaves Station B towards Station A at the same time but with a speed of 60 miles per hour, when will they meet?"} {"instruction": "A chat. A farmer has a rectangular field with a length of 120 meters and a width of 80 meters. He wants to increase the area of his field by 50% by extending only one side of the rectangle. Which side should he extend, and by how much?"} {"instruction": "A chat. There are 25 people in a room. What is the minimum number of people you need to ask about their birthday month to be certain that two of them share the same birthday month?"} {"instruction": "A chat. In a group of 30 people, 18 like chocolate ice cream, 20 like vanilla ice cream, and 10 like both chocolate and vanilla. How many people in the group do not like either flavor?"} {"instruction": "A chat. A train leaves from Station A at 8:00 AM traveling at 60 miles per hour towards Station B. Another train leaves from Station B at 9:00 AM traveling at 90 miles per hour towards Station A. If the distance between the two stations is 300 miles, at what time do the trains meet?"} {"instruction": "A chat. If you drive at an average speed of 50 miles per hour for 3 hours and then increase your speed to 70 miles per hour for another 2 hours, how far have you traveled in total?"} {"instruction": "A chat. If a person burns an average of 100 calories per mile while running and wants to burn 2,000 calories in a week, how many miles do they need to run each day?"} {"instruction": "A chat. In a group of people, 40% have blue eyes, 30% have green eyes, and the rest have brown eyes. If 10 more people with blue eyes join the group, the percentage of people with blue eyes increases to 50%. How many people were originally in the group?"} {"instruction": "A chat. A man gives his son 15 cents on Monday, doubles it on Tuesday, then triples the original amount on Wednesday. How much money did the son receive in total?"} {"instruction": "A chat. In a parking lot, there are 40 cars and 10 motorcycles. Every car has 4 wheels, and every motorcycle has 2 wheels. If 30% of the vehicles have a spare wheel, how many wheels are there in total in the parking lot?"} {"instruction": "A chat. Three men go to stay at a motel, and the man behind the desk charges them $30 for a room. They split the cost ten dollars each. Later the manager tells the desk man that he overcharged the men, since the actual rate is $25. The clerk gives five one-dollar bills to the bellhop and tells him to return the money to the men. The bellhop sees an opportunity to make $2 as he reasons that the three men would have a tough time splitting $5 evenly. He pockets $2 and returns only $3 to the men, giving them each a dollar. Now, each man has paid $9 (having each received $1 back from the original $10). The bellhop has pocketed $2. But nine times three is $27 plus two equals $29... Where did the other dollar go? Explain your reasoning."} {"instruction": "A chat. In a certain city, there are 25,000 households. The average household has 3 people, and the average person uses 100 gallons of water per day. How many gallons of water are used by all households in a month (assuming 30 days)?"} {"instruction": "A chat. There are 5 apples and 7 oranges in a basket. Tom takes 2 apples and 3 oranges, while Jane takes 1 apple and 2 oranges. How many fruits are left in the basket?"} {"instruction": "A chat. A cube has a volume of 27 cubic meters. What is the length of one side of the cube, and what is the total surface area of the cube?"} {"instruction": "A chat. If a car uses 6 liters of gas per 100 kilometers, how much gas does it use for a trip of 450 kilometers? Show your work."} {"instruction": "A chat. A cylindrical water tank has a diameter of 6 feet and a height of 10 feet. What is its capacity in gallons? (1 cubic foot \u2248 7.48 gallons)"} {"instruction": "A chat. In an election with two candidates, candidate A received 60% of the votes while candidate B received the remaining votes. If there were a total of 20,000 votes cast, how many more votes did candidate A receive than candidate B?"} {"instruction": "A chat. A box contains 10 red balls and 15 blue balls. You draw 3 balls at random without replacement. What is the probability that you draw exactly 2 red balls and 1 blue ball?"} {"instruction": "A chat. If a sequence is defined recursively as a(n+1) = a(n) - n and a(1) = 5, what is the value of a(6)?"} {"instruction": "A chat. How much water does an Olympic-sized swimming pool hold in liters?"} {"instruction": "A chat. A factory produces 250 units of a product every day. If the factory operates for 6 days a week, how many units are produced in 4 weeks?"} {"instruction": "A chat. There are 100 people in a room. If each person shakes hands with every other person exactly once, how many handshakes occur in total?"} {"instruction": "A chat. A family has two parents and their four children. They decide to arrange themselves in a row for a photo. In how many different ways can they arrange themselves if the parents must always be together? Provide step-by-step logic."} {"instruction": "A chat. If a train travels at an average speed of 80 miles per hour and takes 5 hours to reach its destination, how far apart are the starting point and the destination?"} {"instruction": "A chat. A group of people wants to rent bicycles for a day trip. The rental company charges a flat fee of $20 per bicycle plus an additional $2 per hour for each bike. If the group has a budget of $500, what is the maximum number of hours they can rent bikes if there are 6 people in the group?"} {"instruction": "A chat. It takes 15 minutes to boil 6 eggs. How long will it take to boil 18 eggs?"} {"instruction": "A chat. A factory produces 1500 units per day and operates for 20 days in a month. If each unit sells for $25 and the monthly expenses are $30,000, what is the profit made by the factory in one month?"} {"instruction": "A chat. A factory has two machines that produce widgets. Machine A produces 300 widgets per hour and machine B produces 200 widgets per hour. If both machines operate for 8 hours a day, how many more widgets does machine A produce than machine B in one week?"} {"instruction": "A chat. In a room, there are 10 people. Half of them have blue eyes, and the other half have green eyes. If three more people with blue eyes enter the room, what is the ratio of people with blue eyes to those with green eyes?"} {"instruction": "A chat. If you flip a coin twice, what are the chances of getting two heads? Explain your thought process."} {"instruction": "A chat. A train travels at a constant speed from Town A to Town B, which are 300 miles apart. The train takes 5 hours to reach Town B. If it had traveled 50% faster, how long would it have taken to reach Town B?"} {"instruction": "A chat. A bacteria culture doubles its population every hour. If there are initially 500 bacteria, how many bacteria will there be after 8 hours?"} {"instruction": "A chat. An event management company is organizing a large conference with 1,000 attendees. The conference will take place over three days, with five parallel sessions running at any given time. Each session lasts 90 minutes, and there are four time slots per day. Calculate the minimum number of rooms required to accommodate all sessions, considering a buffer time of 30 minutes between sessions for room setup and attendee movement. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A company produces 250 units of a product per day, and each unit costs $12 to manufacture. If the company operates for 30 days in a month, what is their total monthly production cost?"} {"instruction": "A chat. A man gives half of his money to his wife, then he gives one-third of what's left to his son, and finally, he gives one-fourth of the remaining amount to his daughter. He has $60 left after all these transactions. How much money did he originally have?"} {"instruction": "A chat. A concert venue wants to maximize ticket sales and revenue by optimizing seating arrangements and pricing strategies. The venue has a capacity of 20,000 seats, divided into four sections with different viewing angles and distances from the stage. Analyze historical sales data and customer preferences to determine the optimal allocation of seats to different price categories, taking into account factors such as demand elasticity, group bookings, and special promotions. Provide step-by-step reasoning and any additional information required for this task.\n"} {"instruction": "A chat. A cruise line company plans to add a new ship to its fleet. The ship will have a capacity of 3,000 passengers and require a crew of 1,200. Calculate the initial investment needed for the ship, considering construction costs of $500 million, outfitting and furnishing costs of $100 million, and crew training expenses of $5 million. Estimate the annual operating costs, including fuel at $50,000 per day, food and beverage expenses at $30 per passenger per day, and crew salaries totaling $60 million per year.\n"} {"instruction": "A chat. A car travels 60 miles per hour for the first 2 hours of a trip and then 80 miles per hour for the next 3 hours. What is the average speed of the car during the entire trip?"} {"instruction": "A chat. Alice, Bob, and Carol each have a bag containing apples and oranges. Alice has 8 apples and 12 oranges, Bob has 15 apples and 5 oranges, and Carol has 7 apples and 13 oranges. If one fruit is picked at random from each person's bag, what is the probability that all three fruits picked are apples?"} {"instruction": "A chat. How much water would be needed to fill a cylindrical tank with a diameter of 4 meters and a height of 5 meters? Assume that the tank is empty and that the water fills it completely."} {"instruction": "A chat. In a certain city, the ratio of cats to dogs is 5:4. If there are 9,000 more cats than dogs, how many cats and dogs are there in total?"} {"instruction": "A chat. Prove Fermat's Last Theorem, which states that there are no three positive integers a, b, and c that satisfy the equation a^n + b^n = c^n for any integer value of n greater than 2."} {"instruction": "A chat. A rectangle has a length of 12 inches and a width of 8 inches. What is the area of the largest square that can fit inside this rectangle?"} {"instruction": "A chat. A box contains red balls and blue balls. There are twice as many red balls as blue balls. If you randomly pick one ball out of the box, the probability of picking a red ball is 2/3. How many balls are in the box?"} {"instruction": "A chat. A library is organizing a book fair and needs to arrange tables to display books. Each table can hold 25 books, and the library has 1,200 books to showcase. The space available can accommodate up to 60 tables. Determine how many tables the library should set up and whether there will be enough space to display all the books. Explain your reasoning.\n"} {"instruction": "A chat. In a game, you have a 1/2 chance of winning $100, a 1/4 chance of winning $200, and a 1/4 chance of losing $50. What is your expected value for playing this game? Explain your thought process."} {"instruction": "A chat. A company produces 500 units of a product per day at a cost of $20 per unit. If they increase production by 100 units per day and reduce the cost per unit to $18, how much more or less will they spend on production daily?"} {"instruction": "A chat. A hospital is planning to expand its emergency department to accommodate more patients. Currently, the emergency department has 20 beds and serves an average of 60 patients per day. The hospital wants to increase its capacity by 50%. Calculate the number of additional beds required and estimate the space needed for the expansion, considering that each bed requires 150 square feet of space, including equipment and walking areas. Additionally, calculate the number of extra staff members needed to maintain a 1:4 nurse-to-patient ratio during peak hours.\n"} {"instruction": "A chat. A man pushes his car up to a hotel and immediately knows he's bankrupt. How does he know?"} {"instruction": "A chat. How many miles would a person walk in a month if they walked 10,000 steps per day and their stride length is 2.5 feet?"} {"instruction": "A chat. A car dealership sells cars at an average price of $25,000 each. They offer a discount of 15% on each car during a sale event. How much revenue would they generate if they sell 50 cars during the sale event?"} {"instruction": "A chat. If a train travels at an average speed of 80 km/h and takes 5 hours to reach its destination, how far is the destination from the starting point?"} {"instruction": "A chat. You have a book with 1000 pages. It weighs 500 grams. After reading, you tear out all the read pages. Now the book weighs 300 grams. How many pages did you read?"} {"instruction": "A chat. Solve for x: 4x - 7 = 5x + 8"} {"instruction": "A chat. A jar contains 7 red marbles, 5 blue marbles, and 8 green marbles. If you draw two marbles at random without replacement, what is the probability that both marbles are red?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 mph. It takes 30 minutes for the train to reach Town B. After reaching Town B, it immediately returns to Town A at a speed of 90 mph. What is the average speed of the train during the entire round trip?"} {"instruction": "A chat. There are 10 people in a room, including Tom and Jerry. If everyone shakes hands with each other exactly once, how many handshakes occur?"} {"instruction": "A chat. A store sells apples at $1.20 per pound and oranges at $0.80 per pound. If a customer buys 5 pounds of apples and 8 pounds of oranges, how much will they spend in total?"} {"instruction": "A chat. Three people participate in a race: Alice, Bob, and Carol. Alice finishes before Bob, and Carol finishes after Bob. Who finishes first, second, and third?"} {"instruction": "A chat. An insurance company is analyzing the risk profiles of its customers to determine appropriate premiums for various policies. They need to consider factors such as age, gender, occupation, health status, and lifestyle habits. Using statistical models and historical claims data, estimate the probability of a customer filing a claim within the next year based on their risk profile. Calculate the appropriate premium for each customer category to ensure the company remains profitable while providing adequate coverage. Explain your reasoning.\n"} {"instruction": "A chat. A hotel chain wants to determine the optimal room pricing strategy for its new property based on projected occupancy rates and available resources. The hotel has 300 rooms and expects an average occupancy rate of 75%. Each room costs $100 per night to maintain (including cleaning, utilities, and staff wages). The company aims to achieve a profit margin of 30% on each room. Calculate the minimum nightly room rate needed to meet these goals and provide step-by-step reasoning.\n"} {"instruction": "A chat. If a person invests $5000 in a savings account with an annual interest rate of 3%, compounded monthly, how much money will be in the account after 5 years?"} {"instruction": "A chat. A box contains red balls and blue balls. There are twice as many red balls as blue balls. If you take out two balls at random without replacement, the probability of getting two red balls is 1/3. How many balls are in the box?"} {"instruction": "A chat. A construction company is building a large residential complex consisting of 500 apartments spread across 10 buildings. Each apartment has an average area of 1,200 square feet. Calculate the total area of all apartments combined and determine the number of parking spaces required if each apartment is allocated 1.5 parking spaces. Provide step-by-step calculations.\n"} {"instruction": "A chat. In a group of 15 people, 7 have brown eyes and the rest have blue eyes. Among those with brown eyes, 4 are left-handed. Among those with blue eyes, 3 are left-handed. If one person is chosen at random from this group, what is the probability that they are left-handed? Explain your thought process."} {"instruction": "A chat. In a class of 30 students, there are twice as many girls as boys. If 5 more boys join the class, how many girls will be in the class?"} {"instruction": "A chat. In a bag containing red, blue, and green marbles, there are twice as many red marbles as blue marbles, and three times as many green marbles as red marbles. If there are 60 marbles in total, how many blue marbles are there?"} {"instruction": "A chat. In a group of 50 people, 20 are vegetarians, and 30 are non-vegetarians. If 5 vegetarians and 10 non-vegetarians wear glasses, what is the probability that a person chosen at random from the group will be a vegetarian who wears glasses?"} {"instruction": "A chat. A national park is planning to build a series of hiking trails to accommodate the growing number of visitors. The park covers an area of 500 square miles and currently has 100 miles of trails. The goal is to double the total length of trails while maintaining a balance between visitor access and preservation of natural habitats. Calculate the optimal distribution of new trails, considering factors such as terrain difficulty, distance from park entrances, and proximity to points of interest. Also, estimate the construction costs for these new trails, assuming an average cost of $10,000 per mile.\n"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 12 meters. If a gardener wants to increase the area of the garden by 50% without changing its shape, what should be the new dimensions?"} {"instruction": "A chat. A train travels at an average speed of 80 km/h for 3 hours, then increases its speed to 120 km/h for another 2 hours. What is the total distance covered by the train?"} {"instruction": "A chat. On Monday, a bakery sold 120 pastries. This was 75% of the pastries they had made for that day. How many pastries did they make on Monday? Include your logic."} {"instruction": "A chat. A factory has three production lines. Line A produces 100 items per hour, line B produces 150 items per hour, and line C produces 200 items per hour. If all three lines operate simultaneously for 10 hours, how many items will be produced in total?"} {"instruction": "A chat. A company has 100 employees, and 60% of them are full-time. If 75% of the full-time employees receive a bonus, how many employees will get a bonus?"} {"instruction": "A chat. A person wants to save $20,000 in 4 years. They plan to deposit a fixed amount of money into a savings account every month. If the annual interest rate is 2%, compounded monthly, how much should they deposit each month?"} {"instruction": "A chat. There are 5 boxes, each containing a different number of balls. Box A has more balls than box B but fewer balls than box C. Box D has more balls than box E but fewer balls than box B. Which box has the median number of balls?"} {"instruction": "A chat. A factory produces 1000 units of a product every day. The defective rate is 5%. If the factory operates for 30 days, how many non-defective products will be produced?"} {"instruction": "A chat. A box contains 5 red balls and 7 blue balls. If you randomly pick two balls without replacement, what is the probability that both balls are red?"} {"instruction": "A chat. A large hotel chain is looking to improve its energy efficiency by upgrading lighting systems in all of its properties. There are 500 hotels in the chain, each with an average of 300 light fixtures. The current incandescent bulbs consume 60 watts per hour, while the proposed LED replacement bulbs consume only 12 watts per hour. Calculate the total energy savings per year if all hotels switch to LED lighting, taking into account that lights are typically used for 12 hours per day.\n"} {"instruction": "A chat. A rectangle has a length of 12 cm and a width of 7 cm. What is the area of the rectangle?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. How far will it travel in 30 minutes?"} {"instruction": "A chat. A rectangular garden has a length of 15 meters and a width of 8 meters. If you want to build a fence around it with an additional 1-meter buffer on all sides, how much fencing material do you need?"} {"instruction": "A chat. A train travels from City A to City B at an average speed of 90 miles per hour. If it takes the train 4 hours to complete the journey, how far apart are the two cities?"} {"instruction": "A chat. There are 3 red balls and 5 blue balls in a bag. You draw one ball, then put it back into the bag before drawing another ball. What is the probability of drawing a red ball followed by a blue ball?"} {"instruction": "A chat. A bookshelf contains 100 books. If 40% of the books are fiction and the rest are non-fiction, how many non-fiction books are there? Show your reasoning."} {"instruction": "A chat. In a small town, every person knows at least one other person. The mayor claims that if you pick any two people in the town, either they are friends or they have a friend in common. Is this claim true or false?"} {"instruction": "A chat. A theme park wants to add a new roller coaster to attract more visitors. The roller coaster has a maximum capacity of 24 riders per run and takes 3 minutes to complete one cycle (including loading and unloading). The park anticipates that the ride will operate continuously for 12 hours each day. Calculate the total number of riders the roller coaster can accommodate per day and estimate the additional revenue generated if each rider is charged $5 for the ride. Provide step-by-step reasoning for your calculations.\n"} {"instruction": "A chat. A man claims he can tell if someone is lying or telling the truth just by looking into their eyes. He tests his ability with three people who either always lie or always tell the truth. Person A says \"I am a liar.\" Person B says \"Person A is telling the truth.\" Person C says \"Person B is lying.\" Which person(s), if any, must be lying?"} {"instruction": "A chat. If a car travels at a constant speed of 60 mph and needs to cover a distance of 240 miles, how long will it take to reach its destination?"} {"instruction": "A chat. A car travels 300 miles in 5 hours. If the car's speed remains constant, how long will it take to travel an additional 150 miles?"} {"instruction": "A chat. A train leaves from Town A to Town B at 60 mph. At the same time, a car leaves from Town B to Town A at 40 mph. The distance between the two towns is 200 miles. When they meet, which vehicle will be farther from Town A?"} {"instruction": "A chat. A factory produces 2000 units of a product per day. If the defect rate is 1.5%, how many defective units are produced in a month (assume 30 days)?"} {"instruction": "A chat. John is older than Mary, who is younger than Susan. If Peter is older than John but younger than Susan, then who is the youngest among them?"} {"instruction": "A chat. In a class of 30 students, 18 play soccer, and 12 play basketball. If every student plays at least one sport and 6 students play both sports, how many students play only one sport?"} {"instruction": "A chat. It takes 30 minutes to cook a pot of rice. How long will it take to cook enough rice for 20 people?"} {"instruction": "A chat. In a town, 1/3 of the people have dogs, and 2/5 of those with dogs also have cats. If there are 120 people in the town, how many people have both dogs and cats?"} {"instruction": "A chat. A factory produces 250 units of a product every day. How many units are produced in a week (7 days)?"} {"instruction": "A chat. If a plane flies at an average speed of 500 miles per hour and takes 6 hours to reach its destination, how far is the destination from the starting point?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 km/h and then returns to Town A at a constant speed of 40 km/h. What is the average speed of the entire round trip?"} {"instruction": "A chat. If a train travels at an average speed of 80 kilometers per hour and takes 3 hours to reach its destination, how far is the destination from the starting point?"} {"instruction": "A chat. In a box, there are 8 red balls and 12 blue balls. You need to draw two balls from the box without looking. What is the probability that you will draw one red ball and one blue ball?"} {"instruction": "A chat. In a school with 800 students, 60% of the students participate in sports activities. If 40% of those participating in sports are girls, how many boys participate in sports activities?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 km/h. It then continues to Town C at a constant speed of 80 km/h. The total distance between Town A and Town C is 280 km. If the entire journey takes 4 hours, what is the distance between Town A and Town B?"} {"instruction": "A chat. If a rectangular room has a length of 15 feet and a width of 12 feet, what is the area of the room in square yards?"} {"instruction": "A chat. A box contains red balls and blue balls. If you draw two balls at random without replacement, the probability of getting two red balls is 1/2. What is the smallest possible number of balls in the box?"} {"instruction": "A chat. A gardener can water 8 plants in 30 minutes using a single hose. How long will it take to water 32 plants?"} {"instruction": "A chat. A train travels from City A to City B at an average speed of 80 miles per hour. The distance between the cities is 320 miles. If the train makes a stop for 30 minutes halfway through the journey, how long does it take for the train to reach City B?"} {"instruction": "A chat. A train travels from City A to City B in 3 hours at a constant speed. If the train's speed were increased by 20 km/h, it would take only 2 hours to travel the same distance between the two cities. What is the original speed of the train?"} {"instruction": "A chat. A book has 200 pages. If you read 20 pages per day, but skip reading every third day, how long will it take to finish the book? Include your logic."} {"instruction": "A chat. In a class of 40 students, 60% passed their math exam. If each student who passed received a score between 70 and 100, what is the lowest possible average score for the entire class?"} {"instruction": "A chat. Calculate the double integral of xy over the region bounded by x=0, y=0, and x+y=1."} {"instruction": "A chat. A cruise ship company wants to design a new luxury liner that can accommodate 3,000 passengers and 1,200 crew members. Each passenger cabin requires 250 square feet of space, while crew cabins require 150 square feet. In addition to living quarters, the ship must include dining areas, entertainment venues, and other amenities. Estimate the total required square footage for the ship's construction and describe your calculation steps.\n"} {"instruction": "A chat. Design an algorithm to solve the traveling salesman problem, which involves finding the shortest possible route through a given set of cities, visiting each city exactly once, and returning to the starting city. Explain your approach and any assumptions made.\n"} {"instruction": "A chat. A snail starts climbing a 15-foot tree. Each day, it climbs 5 feet up the tree and then slides back down 2 feet during the night. How many days will it take for the snail to reach the top of the tree?"} {"instruction": "A chat. An international shipping company plans to expand its fleet of cargo ships over the next five years. Each ship can carry up to 50,000 tons of cargo and has an operational life of 25 years. The company expects global trade volume to increase by 7% annually during this period. Estimate the number of new ships needed to meet this demand, taking into account the retirement of older ships and potential fluctuations in trade volumes due to economic or political factors.\n"} {"instruction": "A chat. In a room, there are 4 cats. Each cat has 3 kittens. For every kitten, there are 2 mice. How many legs are in the room?"} {"instruction": "A chat. In a class of 20 students, 12 are boys and 8 are girls. If a teacher picks a student at random, what is the probability that the student picked is a girl?"} {"instruction": "A chat. A construction company is bidding on a large infrastructure project that requires building 50 miles of highway over a period of 3 years. The company must consider factors such as labor costs, equipment rental, materials, permits, and contingencies in their bid. Develop a plan to estimate the total cost of the project and determine a competitive bid price that would maximize the company's chances of winning the contract."} {"instruction": "A chat. In a class of 50 students, 25 students play soccer, 20 students play basketball, and 15 students play both soccer and basketball. How many students don't play either sport?"} {"instruction": "A chat. If f(x) = arctan(x), find the Taylor series expansion of f(x) about x=0."} {"instruction": "A chat. Calculate the amount of time it takes for an investment to double if the interest rate is 7% compounded continuously."} {"instruction": "A chat. In a town, 60% of the people have dogs, and 40% of the people have cats. If 25% of the people have both dogs and cats, what percentage of dog owners also own cats?"} {"instruction": "A chat. There are 10 people in a room, including you. Each person knows exactly 3 other people in the room. If you know everyone else in the room, how many people do not know anyone else besides you?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding electric buses to its fleet. The city currently has 100 diesel buses, each with a capacity of 50 passengers. The new electric buses have a capacity of 60 passengers and cost $500,000 each. The city's budget for this project is $25 million. Calculate the maximum number of electric buses that can be purchased within the budget, and determine how many passengers the upgraded fleet can accommodate in total. Also, calculate the percentage increase in passenger capacity compared to the current fleet.\n"} {"instruction": "A chat. In a class of 30 students, 60% are boys, and the rest are girls. If half of the boys have glasses and one-third of the girls have glasses, how many students in total have glasses?"} {"instruction": "A chat. In how many ways can 6 books be arranged on a shelf if two specific books must always be together?"} {"instruction": "A chat. In a certain city, there are 100,000 registered voters. During an election, 60% of the registered voters cast their votes. Among those who voted, 55% voted for candidate A and 45% voted for candidate B. How many more votes did candidate A receive than candidate B?"} {"instruction": "A chat. A company's revenue increased by 20% in the first year and then decreased by 10% in the second year. If the initial revenue was $100,000, what was the revenue at the end of the second year?"} {"instruction": "A chat. If a car travels at an average speed of 60 miles per hour, how far will it travel in 2 hours and 45 minutes?"} {"instruction": "A chat. A box contains 5 red balls and 7 blue balls. If you draw 3 balls at random without replacement, what is the probability that exactly 2 of them are red?"} {"instruction": "A chat. Let X be a topological space. Show that if every continuous real-valued function on X is bounded, then X is compact."} {"instruction": "A chat. In a class of 25 students, 12 are boys and 13 are girls. The teacher wants to form groups of 3 students each. What is the probability that a randomly selected group will have exactly 2 boys and 1 girl?"} {"instruction": "A chat. A company sells two types of products, X and Y. Product X has a profit margin of 25% and product Y has a profit margin of 40%. If the company sells $8,000 worth of product X and $12,000 worth of product Y in a month, what is the total profit?"} {"instruction": "A chat. You have a basket with 6 apples. You take away 4, then put back 2 more. How many apples do you have now?"} {"instruction": "A chat. A large hospital wants to improve its emergency response time by adding more ambulances to its fleet. Each ambulance costs $150,000, and the hospital has a budget of $1.2 million for this expansion. Additionally, the hospital needs to hire paramedics and drivers for these new ambulances. Each ambulance requires two paramedics and one driver per shift, with three shifts per day. Paramedics earn an average annual salary of $60,000, while drivers earn $45,000. Calculate how many ambulances the hospital can purchase and the number of staff members needed to operate them, considering both the initial investment and ongoing personnel costs.\n"} {"instruction": "A chat. A factory produces 500 units of a product every day. Each unit has a 5% chance of being defective. On average, how many defective units will be produced in a week?"} {"instruction": "A chat. If you roll two six-sided dice, what is the probability of getting a sum of 9?"} {"instruction": "A chat. The Earth has a circumference of approximately 24,901 miles. If you were to walk around the Earth at a constant speed of 3 miles per hour without stopping, how long would it take you to complete the journey?"} {"instruction": "A chat. A farmer has a rectangular field with a perimeter of 60 meters. The length of the field is twice its width. What is the area of the field?"} {"instruction": "A chat. A rectangle has a length of 12 cm and a width of 7 cm. What is its area and perimeter?"} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" Each box contains either only apples, only oranges, or a mix of both fruits. All three labels are incorrect. You can pick one fruit from one box to determine the correct contents of all three boxes. Which box should you choose?"} {"instruction": "A chat. If a restaurant serves an average of 200 customers per day and each customer spends an average of $12 on their meal, how much revenue will the restaurant generate in one week?"} {"instruction": "A chat. A shipping company needs to optimize its delivery routes for maximum efficiency. It currently delivers packages to 500 locations daily, using a fleet of 25 trucks. Each truck can carry up to 100 packages, but the company wants to reduce fuel consumption by limiting the distance traveled by each truck. Determine the optimal number of packages per truck and the minimum distance required to deliver all packages while meeting the fuel reduction goal. Explain your approach and calculations.\n"} {"instruction": "A chat. A circular garden has a diameter of 12 meters. What is the area of the garden?"} {"instruction": "A chat. If you have a 25% discount on a $60 item, how much will you pay after the discount?"} {"instruction": "A chat. A train travels from City A to City B in 6 hours. Another train travels from City B to City A in 8 hours. Both trains start their journey at the same time. How long does it take for the two trains to meet?"} {"instruction": "A chat. There are 30 animals in the field. Some are chickens and some are cows. I counted 78 legs in total. How many chickens and how many cows are there? Include your logical steps."} {"instruction": "A chat. In a class of 30 students, 18 students play soccer, 20 students play basketball, and 12 students play both soccer and basketball. How many students don't play either sport?"} {"instruction": "A chat. Evaluate the expression (6^2 / 3) * 5 - 10."} {"instruction": "A chat. Solve the expression: ((3^2 - 4) * 6) / 2 + 8 ="} {"instruction": "A chat. In a bag, there are 8 red balls, 6 blue balls, and 4 green balls. What is the probability of drawing a red ball or a blue ball from the bag without looking?"} {"instruction": "A chat. Prove that e^(i\u03c0) + 1 = 0."} {"instruction": "A chat. How many different ways can you arrange the letters in the word \"MATH\"?"} {"instruction": "A chat. Use the Atiyah-Singer index theorem to calculate the index of a Dirac operator on a compact spin manifold."} {"instruction": "A chat. An office building has 20 floors. Each floor has 15 rooms. If each room has 4 windows, how many windows are there in the entire building? Provide your logic."} {"instruction": "A chat. A baker uses 4 cups of flour to make 12 cookies. How many cups of flour will he need to make 36 cookies?"} {"instruction": "A chat. A box contains 5 red balls, 3 blue balls, and 2 green balls. If you randomly pick one ball from the box, what is the probability that it will be either a red or a blue ball?"} {"instruction": "A chat. A box contains 6 red balls, 4 blue balls, and 5 green balls. If you randomly pick two balls from the box without replacement, what is the probability that both balls are red?"} {"instruction": "A chat. A restaurant serves 20 customers every half an hour. How many customers does it serve in one week if it operates for 8 hours each day? Explain step-by-step."} {"instruction": "A chat. A cylindrical water tank has a diameter of 10 feet and a height of 12 feet. What is the volume of the tank in cubic feet?"} {"instruction": "A chat. If a farmer has 4 different types of seeds and wants to plant them in 3 separate plots, how many possible combinations can he create?"} {"instruction": "A chat. A train leaves Station A heading towards Station B at 60 mph. At the same time, another train leaves Station B heading towards Station A at 80 mph. The distance between the two stations is 420 miles. How far apart are the trains when they meet?"} {"instruction": "A chat. A company has 12 employees and wants to form a committee of 4 people. How many different committees can be formed?"} {"instruction": "A chat. There are 30 students in a class. Half of them play soccer, one-third play basketball, and 6 students play both soccer and basketball. How many students don't play either sport?"} {"instruction": "A chat. Evaluate the effectiveness of a marketing campaign using statistical analysis, considering factors such as target audience, conversion rates, and return on investment. Explain your approach and findings.\n"} {"instruction": "A chat. A square garden has an area of 64 square meters. If you want to build a fence around the entire garden, how much fencing material do you need?"} {"instruction": "A chat. If a train travels at 60 miles per hour and takes 2 hours to reach its destination, how far did the train travel?"} {"instruction": "A chat. A store sells two types of products: Product X and Product Y. The store has a total inventory worth $20,000. If Product X makes up 60% of the inventory value and each unit of Product X costs $40, how many units of Product X are in the inventory?"} {"instruction": "A chat. Determine the Nash equilibrium in a two-player game with the following payoff matrix:\n\n Player B\n L R\n _________\n | 3, 2 | 1, 3 |\nA L|-------|------|\n | 2, 1 | 4, 4 |\n _________\nExplain your reasoning.\n"} {"instruction": "A chat. A cone-shaped paper cup holds 12 fluid ounces (fl oz) of water when filled to the brim. If the height of the cup is 6 inches and its diameter is 4 inches, what is the volume of the cone in cubic inches? (Note: 1 fl oz = 1.80469 cubic inches)"} {"instruction": "A chat. Find the derivative of the function f(x) = x^3 + 2x^2 - 5x + 3. Provide a step-by-step explanation.\n"} {"instruction": "A chat. A city is planning to build a new sports complex with multiple facilities, including a stadium, an indoor arena, and several outdoor fields. The total budget for the project is $500 million. The stadium will have a seating capacity of 50,000 people, while the indoor arena can accommodate 20,000 spectators. Calculate the cost per seat in each facility if the stadium accounts for 60% of the total budget, the indoor arena takes up 30%, and the remaining 10% is allocated for the outdoor fields. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A car can travel 400 miles on a full tank of gas. If the tank is currently half full, how far can the car travel? Provide step-by-step logic."} {"instruction": "A chat. A factory produces 1200 units of product A every day. They also produce 3 times as many units of product B as product A. How many total units do they produce in one week?"} {"instruction": "A chat. A rectangular garden measures 30 feet by 40 feet. If you want to build a fence around the entire garden with one gate that is 4 feet wide, how many feet of fencing do you need?"} {"instruction": "A chat. A car travels 60 miles per hour for the first 2 hours of a trip, then 50 miles per hour for the next 3 hours. How many miles does the car travel in total?"} {"instruction": "A chat. In a class of 40 students, 12 students play soccer, 15 students play basketball, and 9 students play both soccer and basketball. How many students in the class do not play either sport?"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B per hour. Each unit of product A requires 2 pounds of raw material X, while each unit of product B requires 3 pounds of raw material X. How many pounds of raw material X does the factory consume in 10 hours?"} {"instruction": "A chat. In a school, there are 400 students in total. If 25% of the students play soccer and 15% play basketball, how many students do not participate in either sport?"} {"instruction": "A chat. John reads 2 books per month. His sister Mary reads twice as many books as John, and their friend Paul reads 3 books less than Mary. How many books do they read in a year? Explain your thinking."} {"instruction": "A chat. A store sells two types of products, Product A and Product B. Product A has a profit margin of 30%, while Product B has a profit margin of 50%. If the store sells 100 units of Product A at $15 each and 200 units of Product B at $10 each, what is the total profit generated from these sales?"} {"instruction": "A chat. If a company produces widgets at a cost of $5 per widget and sells them for $12 each, how many widgets do they need to sell to make a profit of $2,100?"} {"instruction": "A chat. A telecommunications company is planning to expand its network coverage by installing new cell towers across a large rural area. The company needs to determine the optimal locations for these towers to maximize coverage while minimizing installation and maintenance costs. Develop a method for selecting tower locations, considering factors such as population density, terrain, and existing infrastructure.\n"} {"instruction": "A chat. Prove that there are infinitely many prime numbers."} {"instruction": "A chat. There are 12 socks in a drawer: 4 red, 4 blue, and 4 green. If you pick out socks at random without looking, how many socks do you need to take out to guarantee that you have a matching pair?"} {"instruction": "A chat. A box contains 10 red balls, 8 blue balls, and 12 green balls. If you randomly pick three balls without looking, what is the probability that all three balls are the same color?"} {"instruction": "A chat. It takes 3 hours to charge 4 smartphones simultaneously. How long would it take to charge 16 smartphones?"} {"instruction": "A chat. A factory produces 500 units of product A every 8 hours and 300 units of product B every 6 hours. How many units of both products are produced in 24 hours?"} {"instruction": "A chat. If a factory produces 250 units of product A in one day, how many units does it produce in a month with 22 working days?"} {"instruction": "A chat. If a person invests $5,000 at an annual interest rate of 6% compounded monthly, how much will their investment be worth after 3 years?"} {"instruction": "A chat. A theme park is planning to introduce a new roller coaster that will be the main attraction for the next five years. The park expects a significant increase in visitors due to this addition. Estimate the additional staff required to manage the increased visitor volume, considering factors such as ride operators, security personnel, food service workers, and maintenance staff. Also, determine the optimal ticket pricing strategy to maximize profits without discouraging visitors. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A company has a revenue of $150,000 per month. If their monthly expenses are 60% of their revenue, how much profit do they make each month?"} {"instruction": "A chat. In a bag, there are 8 red marbles, 6 blue marbles, and 4 green marbles. You draw two marbles at random without replacement. What is the probability that you will draw one red marble and one blue marble?"} {"instruction": "A chat. A company spends $5,000 on advertising and gains 500 new customers as a result. If the company wants to gain an additional 1,000 customers through advertising, how much more should they spend?"} {"instruction": "A chat. Calculate the value of the expression: 6 * (4^2 - 5) + 9 / 3"} {"instruction": "A chat. In a class of 60 students, 75% passed their math exam, and 80% passed their science exam. If everyone who passed their math exam also passed their science exam, how many students failed both exams?"} {"instruction": "A chat. In a village, there are 50 houses. Every house has a dog and every dog chases three cats. Each cat scares away four rats. How many animals are in the village?"} {"instruction": "A chat. A hotel chain plans to build a new resort with 300 rooms, including standard rooms, deluxe rooms, and suites. Standard rooms will account for 60% of the total rooms, deluxe rooms will make up 30%, and suites will comprise the remaining 10%. The construction cost per room is $150,000 for standard rooms, $200,000 for deluxe rooms, and $300,000 for suites. Calculate the total construction cost for the resort, as well as the average construction cost per room based on the distribution of room types. Explain your reasoning."} {"instruction": "A chat. There are 8 people in a room. Every minute, the number of people in the room doubles. How many minutes does it take for there to be more than 500 people in the room? Reason step-by-step."} {"instruction": "A chat. A train travels at an average speed of 60 kilometers per hour for 3 hours and 45 minutes. How far does it travel in kilometers?"} {"instruction": "A chat. In a class of 30 students, 14 play soccer, 12 play basketball, and 18 play volleyball. If 6 students play all three sports, how many students don't play any of these sports?"} {"instruction": "A chat. A factory produces 150 widgets per hour for 16 hours a day. How many widgets will it produce in one week?"} {"instruction": "A chat. A national park plans to build a network of hiking trails covering a total distance of 300 miles. The park's terrain varies, with some areas requiring more complex trail construction than others. Trail construction costs are estimated at $10,000 per mile for easy terrain, $20,000 per mile for moderate terrain, and $30,000 per mile for difficult terrain. The park has a budget of $5 million for the project. Determine the optimal distribution of trail lengths across different terrains to maximize the total distance covered while staying within budget.\n"} {"instruction": "A chat. In a room, there are 12 people who always tell the truth and 8 people who always lie. You ask everyone how many liars are in the room. How many different answers will you get?"} {"instruction": "A chat. There are 6 apples and 8 oranges in a basket. If you take out 4 apples, how many fruits are left in the basket?"} {"instruction": "A chat. In a village, half of the villagers have cats, one-third have dogs, and one-sixth have both cats and dogs. What fraction of the villagers have either a cat or a dog but not both?"} {"instruction": "A chat. A train leaves from station A at 60 mph heading towards station B. At the same time, another train leaves from station B at 40 mph heading towards station A. Station A and B are 200 miles apart. How far will the faster train travel before they meet?"} {"instruction": "A chat. Given the function h(x) = |x|, find the derivative h'(x) for x \u2260 0."} {"instruction": "A chat. If a car rental company has 25 cars, and they rent out 60% of their cars on Monday, how many more cars do they need to rent out on Tuesday to reach an 80% rental rate for the two days combined?"} {"instruction": "A chat. There are 100 people in a room. Half of them are wearing glasses, one-third are wearing hats, and one-fourth are wearing scarves. How many people are wearing all three items?"} {"instruction": "A chat. A company sells 1000 units of a product every month at a price of $50 per unit. If they increase the price by 10% each month, how much revenue will they generate in total after 3 months?"} {"instruction": "A chat. It takes 15 minutes to cook a serving of pasta. How long would it take to cook 6 servings?"} {"instruction": "A chat. An airline wants to optimize its flight schedules between two major cities. There are currently three daily flights, but the company has noticed that certain times of day have higher demand than others. To maximize profits, they need to determine the optimal number of flights per day and their departure times. Consider factors such as ticket prices, fuel costs, airport fees, and passenger preferences. Describe the steps needed to make this decision.\n"} {"instruction": "A chat. If a car rental company has 12 cars and each car is rented out for an average of 5 days per month, how much total revenue does the company make in one year if they charge $50 per day for renting a car?"} {"instruction": "A chat. There are 8 apples and 6 oranges in a basket. John takes out 3 apples, while Jane takes out 4 oranges. How many fruits are left in the basket?"} {"instruction": "A chat. At a party, every person shakes hands with everyone else exactly once. If there were a total of 66 handshakes, how many people attended the party?"} {"instruction": "A chat. There are 25 students in a class. Each student has a different number of pencils, ranging from 1 to 25. If you randomly select one student, what is the probability that they have more than 20 pencils?"} {"instruction": "A chat. There are three people, Alice, Bob, and Carol. Alice always tells the truth, Bob always lies, and Carol sometimes tells the truth and sometimes lies. You ask each of them if they think Carol will tell the truth today. Alice says \"yes,\" Bob says \"no,\" and Carol says \"yes.\" Who is telling the truth?"} {"instruction": "A chat. Solve: ((3^2 - 1) * 4) / 2 + 6 ="} {"instruction": "A chat. A rectangular garden has a length of 30 feet and a width of 20 feet. If you want to build a fence around the entire garden with an additional gate that is 4 feet wide, what will be the total length of the fence required?"} {"instruction": "A chat. In a game, you start with 1 point. Each subsequent turn, your points double. How many points will you have after 10 turns? Show your steps."} {"instruction": "A chat. An agricultural company is planning to introduce a new irrigation system across its farmland to improve crop yields. The company owns 5,000 acres of land, and the new irrigation system costs $2,000 per acre to install. Calculate the total cost of implementing the new irrigation system. In addition, estimate the potential increase in crop yield due to the improved irrigation, assuming a current average yield of 3 tons per acre and a projected increase of 25% after the installation of the new system."} {"instruction": "A chat. A rectangular garden has a length of 15 meters and a width of 8 meters. If a gardener wants to increase the width by 2 meters while keeping the same area, what will be the new length of the garden?"} {"instruction": "A chat. A library has 5 copies of a certain book. Each copy can be borrowed for up to 4 weeks at a time. How many people can read the book in a year if each person takes exactly 4 weeks to read it? Show your work."} {"instruction": "A chat. A company sells two types of products: Product X and Product Y. The profit margin for Product X is 25%, while the profit margin for Product Y is 40%. If the company sells $12,000 worth of Product X and $8,000 worth of Product Y, what is their total profit?"} {"instruction": "A chat. If you drive at an average speed of 50 miles per hour for 3 hours and 30 minutes, how far will you have traveled?"} {"instruction": "A chat. In a school, there are 120 students in grade 9, 150 students in grade 10, and 180 students in grade 11. If each student needs 5 notebooks for the upcoming semester, how many notebooks does the school need to order?"} {"instruction": "A chat. If you read 30 pages of a book every day, how many books can you finish in a year if each book has an average of 250 pages?"} {"instruction": "A chat. A train leaves Town A heading towards Town B at 80 mph. At the same time, another train leaves Town B heading towards Town A at 100 mph. If the distance between the two towns is 360 miles, how long will it take for the trains to meet?"} {"instruction": "A chat. In a family of 4 children, there are two boys and two girls. If the oldest child is a girl, what is the probability that all the other children are younger than her?"} {"instruction": "A chat. A rectangle has a length of 10 meters and a width of 5 meters. If you double the length and halve the width, what is the new area of the rectangle?"} {"instruction": "A chat. A theme park is designing a new roller coaster with a budget of $20 million. The construction costs include track materials, support structures, and ride vehicles. The park also needs to account for safety measures, landscaping, and queue line theming. To maximize guest satisfaction, the park must balance thrill factors, capacity, and accessibility. Describe the steps needed to design the roller coaster within budget while considering these factors.\n"} {"instruction": "A chat. In a box, there are 5 red balls and 3 blue balls. If you randomly pick two balls at once without looking, what is the probability that both balls will be red?"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour. The train stops for 15 minutes at each station. If the train passes through 5 stations (not including its starting point), how long does it take to travel 300 miles?"} {"instruction": "A chat. There are four cards on a table, each with a number on one side and a letter on the other side. The visible sides show 3, 8, D, and F. To prove that every card with an even number has a vowel on the other side, which cards do you need to flip?"} {"instruction": "A chat. A train travels from Station A to Station B in 2 hours and then continues to Station C, which takes another 1 hour. If the distance between Station A and Station B is 100 miles, what is the total distance traveled by the train?"} {"instruction": "A chat. In a school, there are 120 students in grade 9 and 150 students in grade 10. If 60% of grade 9 students and 80% of grade 10 students pass an exam, how many students in total passed the exam?"} {"instruction": "A chat. Three friends decide to split the cost of a $60 gift equally among themselves. However, one friend has a coupon that reduces the price by $12. How much does each friend pay after applying the coupon?"} {"instruction": "A chat. A library has 5,000 books. The librarian wants to replace 30% of the books with new titles. If each new book costs $20, how much will it cost to replace the books?"} {"instruction": "A chat. Alice can paint a room in 5 hours, while Bob can paint the same room in 7 hours. If they work together, how long will it take them to paint the room?"} {"instruction": "A chat. A rectangular garden has a length that is twice its width. If the perimeter of the garden is 60 meters, what is the area of the garden?"} {"instruction": "A chat. A train leaves Town A and travels to Town B at a speed of 60 km/h. At the same time, another train leaves Town B and travels to Town A at a speed of 90 km/h. The distance between the two towns is 300 km. How far from Town A will the trains meet?"} {"instruction": "A chat. A school has a student population of 800 students. If 60% of the students are enrolled in math classes and 40% of those students also take science classes, how many students are taking both math and science classes?"} {"instruction": "A chat. How many gallons of water are used by a family of four in one month, assuming each person uses 80 gallons per day?"} {"instruction": "A chat. A car travels at a constant speed of 80 km/h for the first half of its journey and then increases its speed to 100 km/h for the second half. What is the average speed of the entire journey?"} {"instruction": "A chat. Determine the structure of all simple Lie algebras over an algebraically closed field of characteristic 0."} {"instruction": "A chat. In a class of 30 students, 60% are girls. How many boys are in the class?"} {"instruction": "A chat. A store sells apples in bags containing 8 apples each. If you buy 7 bags, how many apples do you have? And if you give away 2 apples to each of your 4 friends, how many apples are left?"} {"instruction": "A chat. A theme park is planning to build a new roller coaster with a budget of $20 million. The construction cost per foot of track is $10,000, and the park wants to include at least three loops, two corkscrews, and one vertical drop in the design. Each loop costs $1 million, each corkscrew costs $500,000, and the vertical drop costs $2 million. Calculate the maximum length of the roller coaster that can be built within the budget constraints while including the desired features. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A factory produces 500 units of a product every day. The defective rate is 2%. If all defective products are discarded and not sold, how many non-defective products will be produced in 30 days?"} {"instruction": "A chat. A sports league wants to optimize its scheduling for the upcoming season. There are 20 teams in the league, and each team must play every other team twice during the season (once at home and once away). Determine the most efficient schedule that minimizes travel time and costs for all teams, taking into account factors such as stadium availability, distance between cities, and game frequency. Describe your approach to solving this problem.\n"} {"instruction": "A chat. If a factory produces 500 units per day and operates for 25 days in a month, how many units does it produce in a year?"} {"instruction": "A chat. If a farmer has 50 hens and each hen lays an egg every other day, how many eggs will the farmer have after one year? Assume a year has 365 days."} {"instruction": "A chat. A train travels from Town A to Town B in 2 hours. The distance between the two towns is 100 miles. If the train increases its speed by 10 mph, how long will it take to travel the same distance?"} {"instruction": "A chat. ((8 - 4)^2 * 5 + 6 / 2) - 3 * 7 ="} {"instruction": "A chat. If a car dealership sells 15 cars per day on average, how many cars will they sell in a non-leap year?"} {"instruction": "A chat. In a bag, there are 5 red balls and 3 green balls. If you pick one ball at random, replace it, and then pick another ball at random, what is the probability of picking two red balls in a row?"} {"instruction": "A chat. A farmer has a rectangular field that measures 300 meters by 500 meters. He wants to plant crops in rows spaced 1 meter apart. How many rows can he plant?"} {"instruction": "A chat. A snail starts climbing up a 15-foot wall. Each day, it climbs 3 feet but slides down 2 feet during the night. On what day does the snail reach the top of the wall?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding new buses and expanding routes. The city currently has 150 buses, each with a capacity of 50 passengers. They plan to increase the number of buses by 30% and add an additional 100 miles of bus routes. Calculate the total passenger capacity after the expansion, as well as the average number of passengers per mile of bus route before and after the expansion. Provide step-by-step reasoning.\n"} {"instruction": "A chat. If a square has an area of 64 square inches, what is the length of its diagonal?"} {"instruction": "A chat. There are 5 people in a room - Alice, Bob, Carol, Dave, and Eve. Each person shakes hands with every other person exactly once. How many handshakes occurred in total?"} {"instruction": "A chat. If you toss a fair coin 5 times, what is the probability of getting exactly 3 heads?"} {"instruction": "A chat. In a class of 30 students, 18 are boys and 12 are girls. If the teacher wants to create groups with an equal number of boys and girls in each group, what is the maximum number of groups that can be formed?"} {"instruction": "A chat. In a country where everyone wants a boy, each family continues having babies until they have a boy. If they have a girl, they have another child. If they have a boy, they stop. What is the proportion of girls to boys in the country? Assume probability of having a boy or a girl is the same."} {"instruction": "A chat. A rectangular garden has a length of 30 meters and a width of 20 meters. If a gardener wants to increase both dimensions by the same percentage to create a new area that is 50% larger than the original, by what percentage should he increase the dimensions?"} {"instruction": "A chat. A train travels at an average speed of 90 mph for a distance of 360 miles. How long does it take for the train to complete its journey?"} {"instruction": "A chat. A food processing company wants to optimize its production line to minimize waste and maximize output. The current process involves several stages, including raw material preparation, cooking, packaging, and quality control. Identify potential areas for improvement within each stage, and suggest strategies to increase overall productivity and reduce costs. Consider factors such as equipment utilization, labor requirements, and energy consumption in your analysis."} {"instruction": "A chat. In a town, every person owns a dog, and every dog is owned by two people. If there are 20 dogs in the town, how many people live in the town?"} {"instruction": "A chat. Solve: (3^2 - 4) * (5 + 1)^2"} {"instruction": "A chat. In a group of people, there are twice as many women as men. If 20% of the women and 50% of the men wear glasses, what percentage of the entire group wears glasses?"} {"instruction": "A chat. A rectangular garden has a length of 30 feet and a width of 20 feet. What is the perimeter of the garden?"} {"instruction": "A chat. A store sells three types of apples: Red Delicious, Gala, and Granny Smith. If there are twice as many Red Delicious apples as Gala apples, and half as many Granny Smith apples as Red Delicious apples, how many apples are there if there are 24 Gala apples?"} {"instruction": "A chat. A snail falls into a well 30 feet deep. Each day it climbs up 3 feet, but each night it slips back 2 feet. How many days will it take for the snail to get out of the well? Explain your reasoning."} {"instruction": "A chat. Calculate the volume of a cylinder with radius 4 cm and height 10 cm. Explain your calculations.\n"} {"instruction": "A chat. A bag contains 10 red balls, 20 blue balls, and 30 green balls. You have to draw three balls without replacement. What is the probability that you will draw one ball of each color?"} {"instruction": "A chat. A car rental company has a fleet of 100 cars. Each car is rented out at an average rate of $50 per day. If the company increases its daily rental rate by 10%, but this results in a 5% decrease in the number of cars rented, what will be their new daily revenue?"} {"instruction": "A chat. A train leaves Station A at 9 AM and travels at a constant speed of 60 mph. Another train leaves Station B, which is 300 miles away from Station A, at 11 AM and travels towards Station A at a constant speed of 80 mph. At what time do the two trains meet?"} {"instruction": "A chat. A square field has a side length of 10 meters. A circular fountain with a radius of 5 meters is built in the center of the field. What is the area of the remaining part of the field that is not occupied by the fountain?"} {"instruction": "A chat. A farmer has a rectangular field that is 300 meters long and 200 meters wide. He wants to plant trees along the perimeter of the field at equal intervals of 25 meters. How many trees does he need to plant?"} {"instruction": "A chat. Solve the system of linear equations using the substitution method:\n y = 2x - 3\n 3x + y = 5\n"} {"instruction": "A chat. If a factory produces 500 units of product A and 300 units of product B per day, what is the ratio of product A to product B produced daily?"} {"instruction": "A chat. In a class of 40 students, 60% are girls. All the boys participated in a sports competition, while only half of the girls did. What percentage of the class participated in the sports competition?"} {"instruction": "A chat. An airline company is analyzing its flight routes to optimize fuel consumption and reduce costs. They currently operate 100 flights daily, with varying distances and aircraft types. Each aircraft has different fuel efficiency rates, and the cost of fuel varies depending on the airport. Determine the most efficient combination of aircraft and routes to minimize fuel expenses while maintaining the same number of daily flights. Explain your reasoning.\n"} {"instruction": "A chat. A store sells apples in bags of 6. If Mary buys 7 bags, how many apples does she have? Include your logic."} {"instruction": "A chat. There are two doors, one leading to freedom and the other to captivity. Each door is guarded by a guard. One guard always tells the truth, while the other always lies. You don't know which guard is which or which door leads where. You can ask only one question to either guard to determine the door to freedom. What do you ask?"} {"instruction": "A chat. There are four people sitting at a round table. Each person has two neighbors - one on their left and one on their right. If Alice sits next to Bob, does Charlie sit next to Diana?"} {"instruction": "A chat. There are 8 people standing in a circle. Each person shakes hands with every other person exactly once. How many handshakes take place?"} {"instruction": "A chat. If a sequence follows the rule an = 3n + 5, what is the sum of the first 10 terms of the sequence?"} {"instruction": "A chat. In a room, there are 7 people who shake hands with each other once. How many handshakes take place in total?"} {"instruction": "A chat. In a village, there are two types of people: truth-tellers who always tell the truth and liars who always lie. You come across three villagers named Alice, Bob, and Carol. Alice says \"Bob is a liar.\" Bob says \"Carol is a liar.\" Carol says \"Alice and Bob are both liars.\" If you know that at least one of them is a truth-teller, can you determine who is telling the truth and who is lying?"} {"instruction": "A chat. A factory produces 200 units of a product in 4 hours. If it takes 8 hours for another factory to produce the same number of units, which factory has a higher production rate?"} {"instruction": "A chat. If a car travels at an average speed of 50 miles per hour, how far will it travel in 2 hours and 30 minutes?"} {"instruction": "A chat. A train travels from City A to City B at a speed of 80 km/h and returns at a speed of 120 km/h. What is the average speed for the entire trip?"} {"instruction": "A chat. In a town, there are only two types of people: those who always tell the truth and those who always lie. You meet three people from this town - Alice, Bob, and Carol. Alice says that Bob is a liar. Bob says that Carol is a liar. Carol says that both Alice and Bob are liars. How many of them are telling the truth?"} {"instruction": "A chat. If a bakery makes 100 loaves of bread every day, and each loaf is sliced into 20 pieces, how many slices of bread does the bakery produce in a week? Explain your reasoning."} {"instruction": "A chat. A factory produces 500 widgets per hour. Each widget is subjected to a quality control process that has an 8% failure rate. How many good-quality widgets can be expected after 10 hours of production?"} {"instruction": "A chat. A car rental company charges $20 per day plus 15 cents per kilometer driven. If a customer rents a car for 3 days and drives it for 250 kilometers, how much will they be charged in total?"} {"instruction": "A chat. In a building, there are 5 floors. On each floor, there are 4 apartments. Each apartment has 3 rooms and in each room, there are 2 beds. How many beds are on the third floor?"} {"instruction": "A chat. A factory produces 500 units of a product per day. The defective rate is 0.5%. How many non-defective products are produced in 30 days?"} {"instruction": "A chat. A city council is planning to install new LED streetlights throughout the city to reduce energy consumption and maintenance costs. There are currently 50,000 traditional streetlights in the city, which consume 150 watts each. The new LED streetlights consume only 50 watts each. Calculate the potential energy savings and reduction in electricity costs if the city replaces all traditional streetlights with LED streetlights, assuming an electricity cost of $0.12 per kilowatt-hour and an average daily usage of 12 hours per streetlight. Provide step-by-step calculations.\n"} {"instruction": "A chat. Evaluate the expression (4^3 - 8) / (2^2 + 1)."} {"instruction": "A chat. A company has an annual revenue of $500,000. Their expenses are 60% of their revenue. If they want to increase their profit by 20%, how much should their new revenue be?"} {"instruction": "A chat. Calculate the area of a circle with a diameter of 14 inches."} {"instruction": "A chat. There are 25 people in a room. What is the probability that at least two people share the same birthday? Ignore leap years for simplicity."} {"instruction": "A chat. A team of painters can paint a room in 2 hours. How long will it take them to paint 5 rooms?"} {"instruction": "A chat. A factory produces 1000 widgets per hour. Due to a malfunction, the production rate decreases by 10% every hour. How many widgets will be produced in total after 3 hours?"} {"instruction": "A chat. A bee travels from flower to flower in a garden. It visits 7 flowers and then returns to the hive. The next day, it does the same thing but visits twice as many flowers before returning to the hive. How many total flowers did the bee visit? Explain your reasoning."} {"instruction": "A chat. In a class of 40 students, 25% of them play basketball and 30% of them play soccer. If 5 students play both sports, how many students do not play either sport?"} {"instruction": "A chat. A company produces widgets at a cost of $8 per widget and sells them for $15 each. They also incur fixed costs of $5000 per month. How many widgets do they need to sell each month to break even?"} {"instruction": "A chat. If you drive at a constant speed of 65 miles per hour for 2 hours and 30 minutes, how far will you have traveled?"} {"instruction": "A chat. Three friends decide to split the cost of a $90 hotel room. However, one friend decides to pay an extra $10 to cover more of the cost. How much does each friend pay?"} {"instruction": "A chat. You have 50 coins totaling $1.00. How many quarters, dimes, nickels, and pennies do you have?"} {"instruction": "A chat. In a village, there are 50 houses and every house has a dog. Each dog barks at exactly two cats from other houses. How many cats are there in the village?"} {"instruction": "A chat. A city is planning to build a new sports complex that includes a stadium, an indoor arena, and multiple outdoor fields. The stadium will have a seating capacity of 50,000 people, while the indoor arena will accommodate 10,000 spectators. The outdoor fields will be used for various sports events and can host up to 5,000 visitors at a time. Calculate the total seating capacity of the sports complex and estimate the cost of constructing the facilities if the cost per seat is $500 for the stadium, $800 for the indoor arena, and $300 for the outdoor fields.\n"} {"instruction": "A chat. It takes 10 minutes to boil an egg. If I want to boil 6 eggs, how much time will it take? Explain like I'm five."} {"instruction": "A chat. There are 12 apples in a basket. You take away 5 apples and then add 3 more. How many apples do you need to add to have twice as many apples as you started with?"} {"instruction": "A chat. If a tree produces 200 apples in a year, and each apple has 8 seeds on average, how many potential new trees could be grown from one year's worth of apples? Explain your reasoning."} {"instruction": "A chat. A factory has a production capacity of 1000 units per day. Due to increased demand, they decide to increase their production by 20% every week for four weeks. How many total units will be produced at the end of these four weeks?"} {"instruction": "A chat. Three friends went out for dinner and decided to split the bill evenly. The total cost was $60. However, they realized later that they forgot to include a 15% tip for the waiter. How much should each friend contribute towards the tip?"} {"instruction": "A chat. There are 5 apples and 7 oranges in a basket. Mary takes out 3 apples and 4 oranges from the basket. How many fruits does she need to take out to have an equal number of apples and oranges left in the basket?"} {"instruction": "A chat. A pizza has a diameter of 16 inches and is cut into 8 equal slices. What is the area of one slice?"} {"instruction": "A chat. A rectangular garden has a length of 12 meters and a width of 7 meters. What is the area of the garden in square meters?"} {"instruction": "A chat. Evaluate the line integral \u222bC (y^2 dx + x^2 dy), where C is the curve defined by x=t^2 and y=t^3 from t=0 to t=1."} {"instruction": "A chat. If you invest $5,000 at an annual interest rate of 4%, compounded annually, how much will your investment be worth after 6 years?"} {"instruction": "A chat. A hotel chain wants to build a new resort on a tropical island. The resort will have three types of accommodations: standard rooms, suites, and villas. Each standard room can accommodate up to 2 guests, each suite can accommodate up to 4 guests, and each villa can accommodate up to 6 guests. The hotel aims to accommodate at least 1,000 guests in total, with no more than 40% of the guests staying in standard rooms. Determine the minimum number of each accommodation type required to meet these criteria. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a room, there are 4 people. Each person has 2 dogs and each dog has 3 puppies. How many legs are in the room?"} {"instruction": "A chat. A hotel chain plans to open a new resort with 500 rooms, multiple restaurants, swimming pools, and other facilities. The total construction cost is estimated at $150 million, with an additional $30 million for interior decoration and furnishing. The company expects an annual occupancy rate of 70% and an average room rate of $300 per night. Calculate the expected revenue and payback period for this investment, providing step-by-step reasoning.\n"} {"instruction": "A chat. At a party, every guest shook hands with every other guest exactly once. If there were 66 handshakes in total, how many guests were at the party? Explain your reasoning."} {"instruction": "A chat. In a small town, there are 10 houses on one side of the street and 15 houses on the other side. All the even-numbered houses have red doors, while all the odd-numbered houses have blue doors. If house number 1 has a blue door, how many houses in total have red doors?"} {"instruction": "A chat. If an average person blinks approximately 20 times per minute, how many times does he blink in an hour? Include your logic."} {"instruction": "A chat. Three friends went to a store and bought a chocolate bar for $6. They decided to split the cost evenly among themselves. However, when they paid, the cashier gave them back $1 due to a discount. How much should each friend pay now?"} {"instruction": "A chat. Show that the harmonic series \u2211(1/n) diverges."} {"instruction": "A chat. Four friends decide to split the cost of a gift equally among themselves. However, one friend forgets his wallet and cannot contribute. As a result, the remaining three friends each pay an extra $5 to cover the cost of the gift. What was the original price of the gift?"} {"instruction": "A chat. In a game of cards, there are 52 cards in total with 4 suits (hearts, diamonds, clubs, and spades) and 13 ranks (A, 2, 3, ..., 10, J, Q, K). What is the probability of drawing a flush (5 cards of the same suit) from a standard deck?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 km/h. It then continues to Town C at a constant speed of 80 km/h. The total distance between Town A and Town C is 210 km. If the entire journey takes 3 hours, what is the distance between Town A and Town B?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the two towns is 120 miles. If the train leaves Town A at 2 PM and arrives in Town B at 5 PM, what time will it be when the train has traveled half the distance?"} {"instruction": "A chat. A farmer has noticed that his corn plants are growing at an increasing rate each week. In the first week, they grew by 2 inches, and in the second week, they grew by 4 inches. If this pattern continues, how much will the corn plants have grown in total after 8 weeks?"} {"instruction": "A chat. A factory produces widgets at a rate of 120 per hour. The factory operates for 8 hours per day, 5 days a week. If there are 4 weeks in a month, how many widgets does the factory produce in one month?"} {"instruction": "A chat. A farmer has a rectangular field with a length of 150 meters and a width of 100 meters. He wants to build a fence around the entire field but also wants to divide the field into three equal sections using two additional fences parallel to the shorter side. How much fencing does he need in total?"} {"instruction": "A chat. If you invest $5,000 at an annual interest rate of 6%, compounded monthly, how much will your investment be worth after 2 years?"} {"instruction": "A chat. An online retailer wants to expand its warehouse capacity to accommodate increased demand. The current warehouse has a storage capacity of 200,000 items, and the company plans to double its capacity within the next three years. Each square foot of warehouse space can hold 20 items, and the cost of constructing additional warehouse space is $75 per square foot. Calculate the total cost of expanding the warehouse and the additional square footage required. Provide step-by-step reasoning for your calculations.\n"} {"instruction": "A chat. A factory produces widgets at a rate of 60 widgets per hour. If it takes 3 hours to produce enough widgets to fill one shipping container, how many widgets fit into one shipping container?"} {"instruction": "A chat. In a certain city, there are 5 buses that run on a specific route. Each bus makes 10 round trips per day. If each round trip covers a distance of 8 miles, what is the total distance covered by all the buses in a day?"} {"instruction": "A chat. A factory produces 200 units of a product every day. If the factory operates for 5 days a week, how many units will it produce in 4 weeks?"} {"instruction": "A chat. An airline company is considering expanding its fleet by purchasing additional aircraft. They need to decide between buying new planes or leasing used ones. New planes cost $100 million each, while leasing used planes costs $2 million per year per plane. The company expects to operate each plane for 20 years. Determine the break-even point for the number of years after which it would be more cost-effective to buy new planes rather than lease used ones, and provide step-by-step reasoning.\n"} {"instruction": "A chat. Solve the following expression: (3^2 - 1) * (5 - 2)^3 / 9 ="} {"instruction": "A chat. There are 50 coins on a table consisting of dimes and quarters only. If the total value of these coins is $10, how many dimes are there?"} {"instruction": "A chat. A baker uses 2 eggs to make 3 cupcakes. How many eggs would he need to make 45 cupcakes? Show your work."} {"instruction": "A chat. The Earth orbits the Sun at an average distance of approximately 93 million miles. How many kilometers is this?"} {"instruction": "A chat. A rectangular garden has a length that is 4 meters more than its width. If the area of the garden is 60 square meters, what are the dimensions of the garden?"} {"instruction": "A chat. A school has a population of 800 students. If 60% of the students are girls, how many more boys need to enroll for the ratio of boys to girls to be 1:1?"} {"instruction": "A chat. A baker uses 3 eggs for each cake. If he bakes 15 cakes, how many eggs does he use? Show your steps."} {"instruction": "A chat. In how many ways can 8 people be seated around a circular table if two specific people must not sit next to each other?"} {"instruction": "A chat. A company has 500 employees and each employee uses an average of 10 paper sheets per day. If a ream of paper contains 500 sheets, how many reams does the company need to supply its employees with paper for one month (assuming 20 working days)?"} {"instruction": "A chat. A rectangular garden has a length of 20 feet and a width of 15 feet. What is the area of the garden in square feet?"} {"instruction": "A chat. John reads 30 pages per hour and takes a break every hour for 15 minutes. If he starts reading a book with 300 pages at 8 AM, when will he finish the book? Show your work."} {"instruction": "A chat. If a bank offers an annual interest rate of 3% compounded quarterly, how much will a deposit of $5,000 grow to after 2 years?"} {"instruction": "A chat. If a car travels at a constant speed of 60 miles per hour, how long will it take to travel 240 miles?"} {"instruction": "A chat. A rectangular garden is 15 meters long and 8 meters wide. If you want to build a fence around it with an additional 1-meter buffer on all sides, how much fencing will you need?"} {"instruction": "A chat. If a car park charges $2 for the first hour and $1 for each additional hour, how much would it cost to park for 8 hours? Explain your reasoning."} {"instruction": "A chat. A cruise ship company is planning a 14-day trip around the Mediterranean Sea, with stops at various ports. The ship can accommodate up to 2,000 passengers and has a crew of 800 staff members. Each passenger will be charged $3,500 for the trip, which includes all meals and entertainment onboard. Calculate the total revenue generated from this trip and estimate the daily operating cost per passenger if the company aims to make a profit margin of 25%. Provide step-by-step reasoning for your calculations.\n"} {"instruction": "A chat. If a rectangular room has an area of 200 square meters and its length is twice its width, what are the dimensions of the room?"} {"instruction": "A chat. A factory produces 1500 widgets per hour. Due to increased demand, they decide to increase their production rate by 25%. How many widgets will the factory produce in 10 hours at this new rate?"} {"instruction": "A chat. Calculate the volume of a cube with side lengths of 5 cm. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A group of 120 people is divided into three teams for a competition. Team A has twice as many members as team B, and team C has 10 fewer members than team A. How many members are in each team?"} {"instruction": "A chat. An amusem*nt park is designing a new roller coaster with a height restriction of 48 inches or taller. According to recent surveys, the average height of children aged 8-12 years old is 52 inches, with a standard deviation of 4 inches. Assuming a normal distribution, calculate the percentage of children in this age group who will not be able to ride the roller coaster due to the height restriction. Explain your reasoning.\n"} {"instruction": "A chat. A father has four children. He gives half of his money to his oldest child, a quarter of his remaining money to his second child, an eighth of his remaining money to his third child, and the rest to his youngest child. If the youngest child receives $1000, how much money did the father have initially?"} {"instruction": "A chat. There are 100 people in a room. Half of them are wearing hats, and the other half are not. If 20 hat-wearing people leave the room, how many people with hats remain in the room?"} {"instruction": "A chat. A factory produces 250 units of a product every hour. If the factory operates for 16 hours a day, how many units will it produce in a week?"} {"instruction": "A chat. Solve the heat equation \u2202u/\u2202t = \u03b1^2\u2202^2u/\u2202x^2 with boundary conditions u(0,t) = 0 and u(L,t) = 0."} {"instruction": "A chat. Calculate the Nash equilibrium for a two-player game with payoff matrices A = [[3, 1], [0, 2]] and B = [[2, 0], [1, 3]], explaining each step in your calculation.\n"} {"instruction": "A chat. An airport is planning to expand its runway capacity to accommodate more flights. The current runway can handle 20 landings and takeoffs per hour, but the expansion project aims to increase this number by 50%. If the airport operates 18 hours a day, calculate the additional number of flights it can handle daily after the expansion. Also, estimate the annual increase in flight capacity, considering that the airport operates 365 days a year. Explain your calculations.\n"} {"instruction": "A chat. If you filled a bathtub with water at a rate of 8 gallons per minute, how long would it take to fill a 50-gallon bathtub?"} {"instruction": "A chat. There are 12 birds sitting on a fence. A hunter shoots and kills one bird. How many birds remain on the fence?"} {"instruction": "A chat. A bag contains 4 red balls, 5 blue balls, and 6 green balls. If you draw 3 balls at random without replacement, what is the probability that you will get exactly one ball of each color?"} {"instruction": "A chat. There are 50 red balls and 50 blue balls in a bag. You need to draw two balls from the bag without looking. What is the probability that both balls will be of the same color?"} {"instruction": "A chat. In a certain city, the ratio of cars to motorcycles is 5:3. If there are 12,000 more cars than motorcycles, how many vehicles are there in total in the city?"} {"instruction": "A chat. If a bee visits 5 flowers per minute, how many flowers does it visit in a week? Reason step-by-step."} {"instruction": "A chat. In a box containing red and blue balls, there are twice as many red balls as blue balls. If you take out 10 red balls and add 5 blue balls, there will be an equal number of red and blue balls in the box. How many balls were initially in the box?"} {"instruction": "A chat. If a shirt is on sale for 25% off its original price of $40, what is the final cost of the shirt after tax (7%) is applied? Explain your calculations.\n"} {"instruction": "A chat. In a group of 30 people, there are twice as many women as men. How many men are in the group?"} {"instruction": "A chat. Alice and Bob play a game where they take turns removing stones from a pile. Initially, there are 20 stones in the pile. Alice goes first and can remove 1, 2, or 3 stones. Then Bob can remove 1, 2, or 3 stones, and so on. Assuming both players play optimally, who will win the game? Explain your strategy."} {"instruction": "A chat. There are 25 students in a class. If 60% of them are boys, how many girls are there in the class?"} {"instruction": "A chat. An amusem*nt park is planning to introduce a new roller coaster ride. The ride will have a maximum capacity of 24 passengers per run and takes 3 minutes to complete. The park expects the ride to operate at full capacity for 12 hours per day. Calculate the number of visitors who can experience the ride daily and estimate the potential revenue generated from this ride, assuming a ticket price of $5 per person.\n"} {"instruction": "A chat. A hospital is analyzing its emergency room (ER) wait times and patient satisfaction rates. On average, the ER sees 300 patients per day, with a peak time between 6 PM and midnight when 40% of daily patients arrive. The hospital has 20 ER beds and employs 15 doctors and 30 nurses during peak hours. To improve patient satisfaction, the hospital aims to reduce average wait times by 25%. Determine how many additional doctors and nurses should be hired during peak hours to achieve this goal, considering current staff workload and patient flow.\n"} {"instruction": "A chat. In a village, there are 10 families. Each family has either one or two children. If the total number of children in the village is 13, how many families have two children?"} {"instruction": "A chat. A train leaves Station A traveling east at 50 mph. Another train leaves Station B, located 200 miles east of Station A, traveling west at 70 mph. How long will it take for the two trains to meet?"} {"instruction": "A chat. A train travels at an average speed of 90 km/h for a distance of 450 km. How long does it take to complete the journey in hours?"} {"instruction": "A chat. A jar contains 4 red marbles, 6 blue marbles, and 10 green marbles. If you randomly draw 3 marbles without replacement, what is the probability that you get at least one red marble?"} {"instruction": "A chat. A store sells a pack of pens at $12 per pack. Each pack contains 20 pens. If a customer buys 10 packs and gets a discount of 15% on the total price, how much does the customer pay?"} {"instruction": "A chat. John has twice as many marbles as Jim. Together, they have 18 marbles. How many marbles does each person have? Provide step-by-step logic."} {"instruction": "A chat. A hotel chain is planning to open a new resort on a tropical island. The resort will have 300 rooms, with an average nightly rate of $250. The hotel expects an occupancy rate of 80% throughout the year. Calculate the annual revenue generated by the resort, factoring in seasonal variations in demand. Additionally, estimate the operating expenses for the resort, assuming an average cost of $75 per room per night, and determine the net profit.\n"} {"instruction": "A chat. A factory produces 500 units of product A and 700 units of product B each day. Product A requires 2 hours of labor per unit, while product B requires 3 hours of labor per unit. How many hours of labor are required for the daily production of both products combined?"} {"instruction": "A chat. There are 8 people in a room, including John and Mary. If there are twice as many men as women, how many men are in the room?"} {"instruction": "A chat. If a car rental company has 20 cars available and rents them out at an average rate of $50 per day, how much would they make in a month if the demand for rentals is such that each car is rented for exactly half the days in a 30-day month?"} {"instruction": "A chat. Use Green's theorem to evaluate the line integral \u222eC (x^2 dx + y^2 dy), where C is the circle centered at the origin with radius 2."} {"instruction": "A chat. If you have a rectangular prism with a length of 6 inches, a width of 4 inches, and a height of 2 inches, what is its surface area?"} {"instruction": "A chat. Prove that the function f(x) = x^3 - 6x^2 + 9x is increasing for all x in the interval [0, infinity)."} {"instruction": "A chat. If you have a deck of 52 playing cards and draw 5 cards at random without replacement, what is the probability of getting exactly 3 face cards (kings, queens, or jacks) and 2 non-face cards?"} {"instruction": "A chat. If a factory produces 250 units of product A per day and the production rate increases by 5% each week, how many units will be produced on the 4th week?"} {"instruction": "A chat. A city is planning to construct a new sports complex with multiple facilities, including a soccer field, basketball courts, and a swimming pool. The construction budget is $10 million, and the cost breakdown is as follows: 40% for the soccer field, 30% for the basketball courts, and 20% for the swimming pool. The remaining 10% will be allocated for landscaping and other amenities. Calculate the individual budgets for each facility and estimate the number of soccer fields, basketball courts, and swimming pools that can be built based on average construction costs ($1 million per soccer field, $500,000 per basketball court, and $2 million per swimming pool). Explain your reasoning.\n"} {"instruction": "A chat. A train travels from City A to City B in 6 hours. On its way back from City B to City A, it takes 8 hours due to a slower speed. If the distance between the two cities is 240 miles, what was the train's speed on its way back?"} {"instruction": "A chat. A large hotel chain is planning to renovate its properties worldwide. There are 500 hotels in total, each with an average of 200 rooms. The renovation will include upgrading room amenities, improving energy efficiency, and redesigning common areas. The estimated cost per room is $15,000, and the project timeline is 3 years. Determine the total budget required for this renovation project and calculate the number of rooms that need to be renovated per month to meet the deadline. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A company has a total of 120 employees, with 60% working full-time and the rest working part-time. If the company decides to increase its number of full-time employees by 20%, how many part-time employees will there be after the change?"} {"instruction": "A chat. If a car rental company has 25 cars and rents them out at a rate of $50 per day, how much revenue will they generate in one month if all the cars are rented every day?"} {"instruction": "A chat. A man has 12 socks in his drawer: 6 black, 4 blue, and 2 red. In complete darkness, what is the minimum number of socks he must pull out to ensure he gets a pair of the same color? Explain your reasoning."} {"instruction": "A chat. In a classroom, there are 8 boys and 12 girls. If 4 students are selected at random for a group project, what is the probability that all 4 students will be girls?"} {"instruction": "A chat. There are 3 red balls and 5 blue balls in a bag. You randomly pick one ball out of the bag and then put it back before picking another ball. What is the probability that you pick a red ball followed by a blue ball?"} {"instruction": "A chat. Calculate the gravitational force between two objects with masses 5 kg and 10 kg separated by a distance of 2 meters."} {"instruction": "A chat. A theme park is designing a new roller coaster with a budget of $25 million. The cost breakdown includes 50% for track construction, 30% for ride vehicles, and 20% for theming and landscaping. The total length of the track will be 4,000 feet, and the average cost per foot of track is $2,000. Determine if the budget allocation for track construction is sufficient and calculate the remaining budget for ride vehicles and theming/landscaping.\n"} {"instruction": "A chat. A company's revenue increased by 20% from year 1 to year 2, then decreased by 10% from year 2 to year 3. If the company's revenue was $100,000 in year 1, what was its revenue in year 3?"} {"instruction": "A chat. Find the general solution to the partial differential equation \u2202u/\u2202t = k(\u2202\u00b2u/\u2202x\u00b2), where u(x,t) represents temperature distribution along a rod and k is a constant."} {"instruction": "A chat. If a spider spins 2 webs per day, how many webs does it spin in a week? Explain step-by-step."} {"instruction": "A chat. An online retailer wants to optimize its warehouse operations by implementing a new inventory management system. The company currently holds 100,000 items in stock, spread across 10 different product categories. Each category has a different storage requirement and turnover rate. Develop a plan to determine the most efficient way to organize the warehouse, taking into account factors such as space utilization, picking efficiency, and restocking frequency. Describe your reasoning.\n"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour. It takes the train 2 hours to travel from Town A to Town B. How far apart are the towns?"} {"instruction": "A chat. An amusem*nt park is planning to add a new roller coaster to attract more visitors. The construction cost of the roller coaster is estimated at $10 million, and the park expects an increase of 20% in annual visitors after its completion. The current number of annual visitors is 500,000, with an average ticket price of $50 per person. Calculate the additional revenue generated by the increased visitor count and determine how many years it will take for the roller coaster to pay for itself.\n"} {"instruction": "A chat. In a room of 30 people, what is the probability that at least two people share the same birthday? Assume each person's birthday is equally likely and ignore leap years."} {"instruction": "A chat. If there are 12 apples and you take away 6, how many do you have?"} {"instruction": "A chat. A factory produces 500 units of product A in 10 hours. If it takes 5 workers to produce these 500 units, how many units can 8 workers produce in the same amount of time?"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 12 meters. What is the perimeter of the garden in meters?"} {"instruction": "A chat. A train travels at a constant speed for 300 miles. The first half of the journey takes 4 hours, while the second half takes 5 hours due to track maintenance. What is the average speed of the train during the entire journey?"} {"instruction": "A chat. A company sells its product for $100 per unit. If they offer a discount of 15% on each unit and still make a profit of $25 per unit, what is their cost price per unit?"} {"instruction": "A chat. Alice is older than Bob. Bob is younger than Carol. Dave is older than Alice but younger than Carol. Who is the youngest person among them?"} {"instruction": "A chat. A train travels at an average speed of 80 km/h for the first half of its journey and then increases its speed to 120 km/h for the second half. If the total journey time is 4 hours, how long is the entire journey in kilometers?"} {"instruction": "A chat. A train travels 300 miles in 5 hours. How far will it travel in 7 hours at the same speed?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 10 feet and a height of 15 feet. What is the volume of the tank in cubic feet? (Use \u03c0 \u2248 3.14)"} {"instruction": "A chat. A factory produces 500 units of product A every day. Product A requires 3 hours of labor per unit. How many hours of labor are required to produce product A for 30 days?"} {"instruction": "A chat. A jar contains 4 red marbles, 3 green marbles, and 5 blue marbles. You randomly pick two marbles without replacement. What is the probability that you pick exactly one red marble?"} {"instruction": "A chat. A factory produces 500 units of a product per day. Due to an increase in demand, they decide to increase their production by 20%. How many units will they produce after the increase?"} {"instruction": "A chat. You have two buckets, one with a capacity of 3 liters and another with a capacity of 5 liters. How can you measure exactly 4 liters of water using only these two buckets?"} {"instruction": "A chat. If a basketball player has a free throw success rate of 80%, what is the probability that they will make exactly 4 out of 5 free throws in a game?"} {"instruction": "A chat. A hospital is planning to expand its emergency department to accommodate an increasing number of patients. The current capacity is 50 beds, but they aim to increase it by 75%. Calculate the new capacity and determine the additional staff needed to maintain a nurse-to-patient ratio of 1:4. Also, consider that the hospital operates 24/7 with nurses working in three 8-hour shifts. Estimate the annual salary cost for the additional nursing staff, given an average salary of $70,000 per year.\n"} {"instruction": "A chat. A group of friends decides to split the cost of a gift evenly among themselves. If each person contributes $12 and there are 8 people in the group, how much does the gift cost?"} {"instruction": "A chat. A farmer has 15 cows and 5 chickens. All but 8 cows died. How many animals does the farmer have now?"} {"instruction": "A chat. In a village, every person has either a cat or a dog as a pet. If there are 20 people in the village and 8 people have cats, how many dogs are there in the village?"} {"instruction": "A chat. A rectangular room measures 12 feet by 18 feet. What is the area of the room in square yards?"} {"instruction": "A chat. Evaluate the limit as x approaches infinity for the function f(x) = (2x^2 + 3x)/(x^2 - 1). Explain your thought process.\n"} {"instruction": "A chat. A frog fell into a well 12 feet deep. It could jump 3 feet, but then slid back down 2 feet each time. How many jumps does it take for the frog to get out of the well?"} {"instruction": "A chat. If a bacteria colony doubles in size every 3 hours, how large is the colony after 12 hours if it initially contained 500 bacteria? Include your reasoning."} {"instruction": "A chat. If a sequence follows the rule An = 3n - 4, what is the sum of the first 20 terms of this sequence?"} {"instruction": "A chat. In a class of 30 students, 18 play soccer, 15 play basketball, and 10 play both soccer and basketball. How many students do not play either sport?"} {"instruction": "A chat. If a car travels at a constant speed of 60 miles per hour for 4 hours and then increases its speed to 80 miles per hour for another 2 hours, how far has the car traveled in total?"} {"instruction": "A chat. If you invest $10,000 at an annual interest rate of 5%, compounded quarterly, how much money will you have after 3 years?"} {"instruction": "A chat. A company sells two types of smartphones: Model X and Model Y. The production cost for each Model X phone is $200, while the production cost for each Model Y phone is $300. If the company produces 1000 units of Model X and 800 units of Model Y per month, what is their total monthly production cost?"} {"instruction": "A chat. A company has a total of 12 employees, consisting of 5 managers and 7 non-managers. In how many ways can a committee of 4 people be formed if it must include at least 1 manager?"} {"instruction": "A chat. If there are 20 people in a room and each person shakes hands with every other person exactly once, how many handshakes occur? Show your work."} {"instruction": "A chat. If a car rental company has 150 cars and rents out 60% of them, how many more cars would they need to rent out to reach an 80% rental rate?"} {"instruction": "A chat. If the population of a city doubles every 30 years, how long will it take for the population to increase by a factor of 8?"} {"instruction": "A chat. A bus leaves from station A at 9 AM and arrives at station B at 12 PM. Another bus leaves from station B at 10 AM and arrives at station A at 1 PM. At what time do the two buses cross each other on their journey?"} {"instruction": "A chat. A large supermarket chain wants to optimize its inventory management system by implementing a just-in-time (JIT) delivery model. The company operates 200 stores nationwide, each carrying an average of 50,000 unique products. Analyze the current supply chain process and propose improvements that could reduce inventory holding costs and improve product availability, taking into account factors such as supplier lead times, transportation costs, and demand forecasting accuracy.\n"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 miles per hour. The return trip from Town B back to Town A is made at a speed of 40 miles per hour. What is the average speed for the entire round trip?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 3 meters and a height of 5 meters. If it is filled to 80% capacity, how much water does it contain? (Use \u03c0 \u2248 3.14)"} {"instruction": "A chat. In a class of 30 students, 12 play basketball, 18 play soccer, and 8 play both basketball and soccer. How many students do not play any sports?"} {"instruction": "A chat. If a factory produces 1500 items per day and operates for 25 days in a month, how many items does it produce in a year?"} {"instruction": "A chat. If a store offers a 20% discount on an item and then applies an additional 10% discount to the reduced price, what is the total percentage discount off the original price?"} {"instruction": "A chat. If a company has 10 employees and decides to give each employee a 15% raise, what will be the total increase in payroll cost if the current combined salary of all employees is $500,000 per year?"} {"instruction": "A chat. If a car uses 8 gallons of gasoline to travel 240 miles, what is its fuel efficiency in miles per gallon (mpg)?"} {"instruction": "A chat. If a square's area is doubled, what happens to the length of its sides?"} {"instruction": "A chat. Solve the heat equation with initial condition u(x,0)=sin(pi*x) and boundary conditions u(0,t)=u(1,t)=0."} {"instruction": "A chat. A gardener takes 1 hour to water 10 plants using a single watering can. How long will it take to water 40 plants?"} {"instruction": "A chat. A school has 120 students and 8 teachers. If each teacher is assigned an equal number of students, how many students are there in each teacher's group?"} {"instruction": "A chat. A telecommunications company is upgrading its network infrastructure to improve coverage and capacity. They need to install new cell towers in various locations, each covering a radius of 5 miles. The company's service area spans 200 square miles, and they want to ensure that at least 95% of the area has adequate coverage. Determine the minimum number of cell towers required and propose a placement strategy to achieve the desired coverage.\n"} {"instruction": "A chat. A factory produces 100 units of product A every day. On Monday, the factory starts producing an additional product B at a rate of 50 units per day. By Friday, how many units of both products will the factory have produced?"} {"instruction": "A chat. In a class of 30 students, 60% are boys and the rest are girls. If 40% of the boys and 50% of the girls have brown eyes, how many students in total have brown eyes?"} {"instruction": "A chat. A bag contains 10 marbles, of which 6 are green and 4 are yellow. You draw 3 marbles from the bag without replacement. What is the probability that you will draw exactly 2 green marbles and 1 yellow marble?"} {"instruction": "A chat. A rectangular garden measures 18 meters by 24 meters. What is the area of this garden in square meters?"} {"instruction": "A chat. A group of people are working on a project that requires 120 hours to complete. If they can only work for 4 hours per day and have 10 days to finish the project, how many people need to be in the group?"} {"instruction": "A chat. A factory produces 450 units of product A and 350 units of product B per day. Product A requires 2 hours of labor per unit, while product B requires 3 hours of labor per unit. How many hours of labor does the factory require each day to produce both products?"} {"instruction": "A chat. A group of people were asked about their favorite colors. Out of them, 15 liked red, 20 liked blue, and 10 liked green. It was found that 8 people liked both red and blue, 5 liked both blue and green, and 3 liked both red and green. Two people liked all three colors. How many people were in the group? Provide step-by-step logic."} {"instruction": "A chat. There are 7 days in a week. How many weeks are there in 365 days? Explain step-by-step."} {"instruction": "A chat. If a person reads 30 pages of a book in 15 minutes, how long will it take them to read a 450-page book? Explain your thought process."} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. If all the even-numbered houses have blue doors and all the odd-numbered houses have red doors, how many houses have both neighbors with doors of the same color as their own?"} {"instruction": "A chat. In a group of 30 people, 18 have cats, 12 have dogs, and 5 have both cats and dogs. How many people have neither cats nor dogs?"} {"instruction": "A chat. In a family of 5, there are two parents and three children. The youngest child is half the age of the middle child, who is 4 years younger than the oldest child. If the sum of the ages of all the family members is 100, how old is the youngest child?"} {"instruction": "A chat. Calculate the number of hairs on a human head, given that they have between 80,000 and 120,000 hairs."} {"instruction": "A chat. A store sells apples in bags of 5 and oranges in bags of 3. If a customer buys 4 bags of apples and 6 bags of oranges, how many total pieces of fruit did they purchase?"} {"instruction": "A chat. If a factory produces 500 units of product A per hour and 300 units of product B per hour, how many total units will be produced in a 24-hour period?"} {"instruction": "A chat. An amusem*nt park wants to build a new roller coaster that will have a total track length of 3 miles. The construction cost is estimated at $10 million per mile of track, plus an additional $5 million for safety features and landscaping. The park expects to sell tickets for the ride at $15 per person and estimates that 80% of visitors will ride the roller coaster. Calculate the initial investment required to build the roller coaster and determine how many visitors are needed to break even on the investment, assuming a fixed annual operating cost of $2 million.\n"} {"instruction": "A chat. A store sells two types of cookies: chocolate chip and oatmeal. The store sells an average of 120 chocolate chip cookies per day at $0.50 each and 80 oatmeal cookies per day at $0.75 each. How much revenue does the store generate from cookie sales in one week?"} {"instruction": "A chat. A train leaves Town A at 4 PM and arrives at Town B at 6 PM. Another train leaves Town B at 5 PM and arrives at Town A at 7 PM. If both trains travel on parallel tracks, when do they cross each other?"} {"instruction": "A chat. In a group of 30 people, what is the probability that at least two people share the same birthday? Assume that all birthdays are equally likely and ignore leap years."} {"instruction": "A chat. A store offers a discount on items during a sale. The original price of an item is $120, and after applying two successive discounts of 20% and 10%, what is the final price of the item?"} {"instruction": "A chat. A car rental company has a fleet of 50 cars. Each car is rented for an average of 20 days per month. If the company charges $60 per day for each car, what is their monthly revenue?"} {"instruction": "A chat. A train leaves Station A traveling east at a speed of 60 mph. At the same time, another train leaves Station B, located 120 miles east of Station A, traveling west at a speed of 80 mph. When will the two trains meet?"} {"instruction": "A chat. It takes 30 minutes to charge a smartphone to 50% using a specific charger. How long would it take to charge four smartphones to 50%?"} {"instruction": "A chat. In a class of 30 students, 16 are boys. How many girls are there in the class? Provide step-by-step logic."} {"instruction": "A chat. A factory produces 500 widgets every day. How many widgets will be produced in 45 days if the factory operates continuously without any breaks or holidays?"} {"instruction": "A chat. In a game, Tom scores 6 points in 2 minutes. How many points would he score in an hour if he keeps scoring at the same rate? Show your work."} {"instruction": "A chat. In a bag of fruit, there are 6 apples, 4 oranges, and 2 bananas. If you randomly pick one fruit from the bag without looking, what is the probability of picking an apple or a banana?"} {"instruction": "A chat. Determine the present value of an investment that will be worth $10,000 in five years if the annual interest rate is 4%, compounded annually. Explain your reasoning.\n"} {"instruction": "A chat. A company produces two types of products: Product A and Product B. The profit for each unit of Product A is $20, while the profit for each unit of Product B is $30. If the company sells 100 units of Product A and 150 units of Product B, what is their total profit?"} {"instruction": "A chat. A company has a revenue of $100,000 per month and its expenses are 60% of its revenue. What is the company's monthly net income?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 miles per hour and then returns to Town A at a speed of 90 miles per hour. If the total travel time is 5 hours, what is the distance between Town A and Town B?"} {"instruction": "A chat. In a room, there are 10 people, each person shakes hands with every other person exactly once. How many handshakes occur? Use logical reasoning."} {"instruction": "A chat. In a group of people, 65% are vaccinated against a disease. Among the vaccinated individuals, 4% still contract the disease. Among the unvaccinated individuals, 12% contract the disease. What is the overall percentage of people in the group who contract the disease?"} {"instruction": "A chat. If a car travels at a constant speed of 60 mph and needs to cover a distance of 450 miles, how long will it take to reach its destination?"} {"instruction": "A chat. A city is planning to build a new public transportation system that includes buses, trams, and subway lines. The total budget for the project is $2 billion, with 40% allocated to buses, 30% to trams, and 30% to subways. Calculate the individual budgets for each mode of transportation and estimate the number of vehicles required for each type, considering the following factors: average cost per vehicle, maintenance costs, operating costs, and passenger capacity. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A company has two factories producing widgets. Factory A produces 60% of the total widgets and has a defect rate of 2%. Factory B produces the remaining 40% of the widgets and has a defect rate of 5%. If a widget is chosen at random and found to be defective, what is the probability it was produced by Factory A?"} {"instruction": "A chat. In a certain game, you score 5 points for every correct answer and lose 3 points for every incorrect answer. After answering 20 questions, your final score is 50 points. How many questions did you answer correctly?"} {"instruction": "A chat. A square garden has an area of 64 square meters. If you walk around the perimeter of the garden, how many meters will you have walked?"} {"instruction": "A chat. A baker uses 2 cups of flour for each loaf of bread. If he wants to bake 15 loaves of bread, how much flour does he need? Show your calculations."} {"instruction": "A chat. A recipe calls for 8 cups of flour and makes 24 cookies. How many cups of flour are needed to make 60 cookies?"} {"instruction": "A chat. How many miles does a person travel in a year if they walk an average of 10,000 steps per day?"} {"instruction": "A chat. Solve: ((4 * 3)^2 - (8 / 2) * 6) + 12 * 3 - 7 ="} {"instruction": "A chat. The world population is estimated to be around 7.8 billion people. If we assume that everyone has two hands and each hand has five fingers, how many total fingers do all humans have? Reason step-by-step."} {"instruction": "A chat. A company produces 250 units of a product per day at a cost of $10 per unit. If they increase production to 300 units per day and the cost per unit decreases to $9, what is the difference in total daily production costs?"} {"instruction": "A chat. A farmer has a rectangular field that is twice as long as it is wide. If the perimeter of the field is 600 meters, what are the dimensions of the field?"} {"instruction": "A chat. A company has an annual budget of $1,200,000. If they allocate 30% to salaries, 20% to office expenses, and 10% to marketing, how much money is left unallocated?"} {"instruction": "A chat. Solve the wave equation u_tt = c^2 * u_xx for a string of length L with initial displacement g(x) and initial velocity h(x)."} {"instruction": "A chat. A factory produces 150 widgets per hour. The production process requires a 10-minute break every 2 hours for machine maintenance. How many widgets will the factory produce in a 24-hour period?"} {"instruction": "A chat. In a class of 30 students, 18 students play basketball, 15 students play soccer, and 5 students play both sports. How many students in the class do not play either sport?"} {"instruction": "A chat. Let A be an n x n matrix. Prove that if A^2 = A, then A is diagonalizable."} {"instruction": "A chat. In a room full of people, 40% have brown eyes, 30% have green eyes, and the remaining have blue eyes. If 12 people have green eyes, how many people are in the room?"} {"instruction": "A chat. A store sells two types of pens - blue and black. The ratio of blue pens sold to black pens sold is 3:5. If the store sold 640 pens in total last week, how many blue pens were sold?"} {"instruction": "A chat. A factory produces 500 units of product A in 10 days. If each unit of product A requires 2 workers to be produced, how many workers are needed to produce 1000 units of product A in 20 days?"} {"instruction": "A chat. A factory produces 250 units of a product every day for 6 days a week. If each unit sells for $35, what is the total revenue generated by the factory in one month (assume there are 4 weeks in a month)?"} {"instruction": "A chat. A city is planning to build a new public transportation system consisting of buses and trains. The total budget for the project is $500 million, with each bus costing $200,000 and each train costing $5 million. Each bus can carry 50 passengers at a time, while each train can carry 300 passengers. The city aims to accommodate 100,000 daily commuters using this new system. Calculate the optimal number of buses and trains needed to achieve this goal, considering the budget constraints and passenger capacity requirements. Provide step-by-step reasoning.\n"} {"instruction": "A chat. If a farmer has 12 acres of land and wants to divide it into rectangular plots, each with an area of 1 acre, what are the possible dimensions for these rectangular plots?"} {"instruction": "A chat. There are 100 seats in a movie theater. If every row has 10 seats and every column has 10 seats, how many ways can you choose 2 adjacent seats?"} {"instruction": "A chat. A company invests $100,000 in a project with an annual interest rate of 5%. How much will the investment be worth after 7 years if the interest is compounded annually?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 3 meters and a height of 4 meters. What is the volume of this tank in cubic meters?"} {"instruction": "A chat. A farmer has a rectangular field measuring 300 feet by 500 feet. He wants to divide the field into square plots of equal size without any leftover space. What is the largest possible size of each square plot?"} {"instruction": "A chat. A population of bacteria doubles every 3 hours. If there are initially 100 bacteria, how many bacteria will there be after 36 hours?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 4 meters and a height of 6 meters. How many liters of water can it hold when full?"} {"instruction": "A chat. If there are 7 billion people in the world and each person has an average of 2.4 children, how many grandchildren does the average person have? Reason step-by-step."} {"instruction": "A chat. There are 5 people sitting around a circular table. Each person shakes hands with everyone else exactly once. How many handshakes occur in total?"} {"instruction": "A chat. A group of people is standing in a circle. Each person shakes hands with every other person exactly once. If there were a total of 66 handshakes, how many people are in the group?"} {"instruction": "A chat. A city is planning to construct a new public park with various amenities, including playgrounds, sports fields, and walking trails. The total area of the park is 100 acres, with 30% allocated for playgrounds, 40% for sports fields, and the remaining 30% for walking trails. Calculate the total length of walking trails if each trail has an average width of 10 feet, and provide step-by-step reasoning.\n"} {"instruction": "A chat. In a certain city, there are 8 taxis numbered 1 through 8. You call for a taxi, and any of the 8 taxis could arrive. What is the probability that the taxi number is an even number or a multiple of 3?"} {"instruction": "A chat. In a town, there are 7 times as many people as dogs. There are 5 times as many cats as dogs. If there are 210 animals, how many people live in the town? Reason step-by-step."} {"instruction": "A chat. A city is planning to construct a new sports complex with multiple facilities, including a soccer field, basketball courts, and a swimming pool. The total budget for the project is $5 million. The cost of constructing each facility is as follows: soccer field - $1.2 million, basketball courts (3) - $300,000 each, and swimming pool - $2 million. Calculate the remaining budget after constructing these facilities and determine if there is enough money left to build an additional tennis court at a cost of $500,000. Provide step-by-step reasoning.\n"} {"instruction": "A chat. If a tree produces 12 apples in the first year, and every subsequent year it doubles its production from the previous year, how many apples will it produce in total over 5 years? Show your reasoning."} {"instruction": "A chat. It takes 5 minutes to fill a bucket with water using a hose. How long will it take to fill 4 similar buckets? Explain your reasoning."} {"instruction": "A chat. In a school, 60% of students play soccer, 40% play basketball, and 20% play both sports. What percentage of students do not play any sport?"} {"instruction": "A chat. A train travels from City A to City B, which are 300 miles apart. The train leaves City A and travels towards City B at a speed of 50 mph. At the same time, another train leaves City B and travels towards City A at a speed of 70 mph. How many hours will it take for the two trains to meet each other?"} {"instruction": "A chat. A family decides to plant an apple tree for every member of their family. They already have 3 trees planted. Every year, the number of trees doubles as they plant a new tree for each existing tree plus one additional tree for each new baby born that year. After 5 years, how many trees will they have if they have one new baby each year? Show your steps."} {"instruction": "A chat. A man has 53 socks in his drawer: 21 identical blue, 15 identical black and 17 identical red. The room is dark and he wants to get his socks. How many socks must he take to be sure he has at least one matching pair? Show your work."} {"instruction": "A chat. If it takes 6 workers to build a house in 12 days, how long would it take for 3 workers to build the same house?"} {"instruction": "A chat. A company sells widgets for $25 each. It costs them $10 to produce each widget, and they have fixed costs of $5,000 per month. How many widgets do they need to sell each month to break even?"} {"instruction": "A chat. An online retailer wants to expand its warehouse capacity to meet growing customer demand. The company currently has 10 warehouses, each capable of storing 20,000 items. They plan to build 5 additional warehouses, each with double the storage capacity of their existing warehouses. Calculate the total storage capacity once all new warehouses are built, and estimate the percentage increase in storage capacity compared to their current situation. Explain your calculations.\n"} {"instruction": "A chat. A film production company is planning to shoot a movie in various locations across three different countries. The total budget for the movie is $30 million, with an estimated breakdown of 40% for salaries, 30% for equipment and set construction, 20% for location permits and logistics, and 10% for marketing and distribution. Calculate the amount allocated for each category and provide step-by-step reasoning.\n"} {"instruction": "A chat. In a class of 30 students, 15 play soccer, 17 play basketball, and 12 play both soccer and basketball. How many students don't play either sport?"} {"instruction": "A chat. In a box, there are 12 defective light bulbs and 18 non-defective light bulbs. If you pick 4 light bulbs at random without replacement, what is the probability that exactly 2 of them are defective?"} {"instruction": "A chat. In a class of 30 students, 60% of them passed a math test. If each student who passed receives a certificate, how many certificates need to be printed?"} {"instruction": "A chat. In a building, there are 4 floors. On the first floor, there are 6 rooms; on the second floor, there are 8 rooms; and on the third floor, there are 10 rooms. If each room has one window, how many windows does the fourth floor have?"} {"instruction": "A chat. A car rental company wants to analyze its fleet utilization and maintenance costs. The company has a fleet of 1,000 vehicles, with an average daily utilization rate of 70%. Each vehicle requires maintenance every 5,000 miles, with an average cost of $250 per maintenance session. Calculate the total annual maintenance cost for the fleet, considering the average daily mileage per vehicle and the number of days each vehicle is rented. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A train leaves Station A at 60 mph heading towards Station B, which is 180 miles away. At the same time, another train leaves Station B at 80 mph heading towards Station A. When do the trains meet?"} {"instruction": "A chat. A family has a mother, father, three sons, and each son has one sister. How many people are in the family? Explain your thought process."} {"instruction": "A chat. In a class of 40 students, 60% received an A grade on their final exam. How many students did not receive an A grade?"} {"instruction": "A chat. In a room, there are 5 cats. Each cat has 6 kittens. How many legs are in the room?"} {"instruction": "A chat. A large hotel chain wants to build a new resort on a tropical island. The resort will have 500 rooms, with three room types: standard (60%), deluxe (30%), and suites (10%). Calculate the number of rooms in each category and distribute them evenly across five buildings. Additionally, determine the size of each building based on an average construction cost of $300 per square foot and a budget of $75 million for the entire project. Describe your building distribution plan.\n"} {"instruction": "A chat. If a car rental company has 100 cars, and they rent out 75% of their cars on Monday, then 60% of the remaining cars on Tuesday, how many cars are left unrented after Tuesday?"} {"instruction": "A chat. If a bacteria population doubles every 20 minutes, how many times will it have doubled after 3 hours?"} {"instruction": "A chat. In a small town, there are 10 houses on one side of the street and 15 houses on the other side. Every house has a dog, and every dog barks at cats. If each cat is chased by three dogs, how many cats are in the town?"} {"instruction": "A chat. A rectangular garden measures 20 feet in length and 10 feet in width. What is the perimeter of the garden?"} {"instruction": "A chat. Design an experiment to test the effect of different fertilizer types on plant growth, considering factors such as control groups, randomization, and replication.\n"} {"instruction": "A chat. A city is planning to build a new sports complex that includes a soccer field, basketball courts, and a swimming pool. The construction budget is $10 million, with 40% allocated for the soccer field, 30% for the basketball courts, and the remaining amount for the swimming pool. Calculate the cost of each facility and determine the dimensions of the soccer field if it should meet FIFA standards (100-110 meters in length and 64-75 meters in width) while staying within the allocated budget. Assume that the cost per square meter of constructing the soccer field is $500.\n"} {"instruction": "A chat. A box contains 3 red marbles, 4 blue marbles, and 5 green marbles. If you randomly pick one marble from the box, what is the probability that it is not a green marble?"} {"instruction": "A chat. Calculate the compound interest earned on a $5,000 investment over five years with an annual interest rate of 4%, compounded quarterly. Explain each step.\n"} {"instruction": "A chat. If a factory produces 1500 units of product A and 2500 units of product B per day, how many days will it take to produce 30,000 units of product A and 50,000 units of product B?"} {"instruction": "A chat. A triangle has two angles measuring 35 degrees and 75 degrees. What is the measure of the third angle?"} {"instruction": "A chat. A hen lays 6 eggs in a week. How many eggs will 15 hens lay in a year? Show your reasoning."} {"instruction": "A chat. In a class of 30 students, 12 are boys and the rest are girls. If 8 boys and 10 girls wear glasses, what is the probability that a randomly selected student wears glasses?"} {"instruction": "A chat. A factory produces 500 units of a product per day. Due to increased demand, they need to increase their production by 40%. How many additional workers are needed if each worker currently produces 50 units per day?"} {"instruction": "A chat. A cone has a height of 9 inches and a radius of 3 inches. What is its volume?"} {"instruction": "A chat. A train leaves Town A at 9 am traveling at 60 mph towards Town B. Another train leaves Town B at 10 am traveling at 80 mph towards Town A. If the distance between Town A and Town B is 300 miles, which train will be closer to Town A when they meet?"} {"instruction": "A chat. A theme park is planning to build a new roller coaster that will be the tallest and fastest in the world. The construction cost is estimated at $20 million, and the project needs to be completed within two years. The park expects a significant increase in attendance after the roller coaster opens, which will generate additional revenue. Estimate the break-even point for this investment, considering ticket prices, daily visitor capacity, and operational costs.\n"} {"instruction": "A chat. A store sells three types of pens: blue, black, and red. The probability of a customer buying a blue pen is 0.4, a black pen is 0.35, and a red pen is 0.25. If a customer buys two pens, what is the probability that they buy one blue pen and one black pen?"} {"instruction": "A chat. In a town, there are 10 families. Each family has at least one child. If the total number of children in the town is 30, and no two families have the same number of children, what is the maximum number of children that any single family can have?"} {"instruction": "A chat. Three people check into a hotel room that costs $30. They split the cost and each pay $10. Later, the manager realizes the room was only supposed to cost $25 and gives the bellboy $5 to return to the guests. On the way to their room, the bellboy decides to keep $2 for himself and gives each guest $1 back. Now, each guest paid $9 (adding up to $27) and the bellboy kept $2, adding up to $29. Where did the extra dollar go? Explain your thought process."} {"instruction": "A chat. A factory produces 500 units of product X each day. Each unit sells for $10. If the factory operates 6 days a week and takes 2 weeks off per year for maintenance, what is the annual revenue generated by selling product X?"} {"instruction": "A chat. A store sells a pack of 5 pens for $3.50 and a pack of 8 pencils for $4.00. If a customer buys 6 packs of pens and 4 packs of pencils, what is the total cost?"} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. The mayor decides to give a gift to every house whose number is divisible by either 3 or 5 but not both. How many gifts will the mayor have to prepare?"} {"instruction": "A chat. A population of bacteria doubles every 4 hours. If there are initially 500 bacteria, how many bacteria will there be after 48 hours?"} {"instruction": "A chat. A telecommunications company wants to expand its network coverage in a rural area. The company needs to install new cell towers to provide service to an additional 10,000 households. Each tower covers a circular area with a radius of 2 miles. Calculate the minimum number of towers required to cover the target area, considering factors such as terrain, population density, and existing infrastructure.\n"} {"instruction": "A chat. A train leaves Town A at 3 pm and arrives in Town B at 5 pm. Another train leaves Town B at 4 pm and arrives in Town A at 6 pm. If both trains travel at a constant speed, when do they cross paths?"} {"instruction": "A chat. John can paint a house in 5 days, while Jane can do it in 4 days. If they work together, how long will it take them to paint the house?"} {"instruction": "A chat. Tom is twice as old as Jerry. In 8 years, Tom will be three times as old as Jerry. How old are Tom and Jerry now?"} {"instruction": "A chat. In a class of 40 students, 70% passed the math exam, and 80% passed the science exam. If 50% of the students passed both exams, how many students failed both exams?"} {"instruction": "A chat. In a parking lot, there are 20 cars parked in a row. Each car has four wheels. A thief comes and steals one wheel from each of the first 10 cars. How many wheels are left in the parking lot?"} {"instruction": "A chat. A fruit basket contains 5 apples, 6 oranges, and 4 bananas. If you randomly pick a fruit from the basket without looking, what is the probability of picking an apple or a banana?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes the train 2 hours to travel between two cities. How far apart are the cities?"} {"instruction": "A chat. It takes 1 hour for a team of 3 people to clean a room. How long will it take for the same team to clean 5 rooms?"} {"instruction": "A chat. How many possible combinations of a 4-digit PIN code are there, assuming that each digit can be any number from 0 to 9 and repetition is allowed?"} {"instruction": "A chat. You have a 50% chance of winning a game. If you play the game twice, what is the probability that you will win at least once?"} {"instruction": "A chat. A group of people were asked if they prefer tea or coffee. 60% said they prefer tea, while the rest prefer coffee. If 75% of those who prefer tea are women, what percentage of the entire group are men who prefer tea?"} {"instruction": "A chat. There are 30 students in a class. Each student either plays soccer or basketball but not both. If twice the number of students who play soccer is equal to thrice the number of students who play basketball, how many students play soccer?"} {"instruction": "A chat. A store offers a discount of 20% on all items during a sale. If an item originally costs $80, how much will a customer save if they purchase two of these items during the sale?"} {"instruction": "A chat. In a room, there are 4 people who speak English, 3 people who speak French, and 2 people who speak Spanish. If three people are randomly selected from the room to form a group, what is the probability that all three people in the group speak different languages?"} {"instruction": "A chat. If a car is traveling at 50 miles per hour and needs to cover a distance of 300 miles, how long will it take to reach its destination?"} {"instruction": "A chat. If you were to type at a constant speed of 60 words per minute, how many pages would you be able to type in an hour, assuming each page contains 250 words?"} {"instruction": "A chat. In a box, there are red, blue, and green balls. The ratio of red to blue balls is 3:5, and the ratio of blue to green balls is 7:9. If there are 63 blue balls in the box, how many red balls are there?"} {"instruction": "A chat. In a game, Sam scores twice as many points as John. If John scores 50 points, how many points does Sam score? Include your logic."} {"instruction": "A chat. There are three people in a room: Alice, Bob, and Carol. Each person can either tell the truth or lie. Alice says \"Bob always lies.\" Bob says \"Carol always tells the truth.\" Carol says \"Alice sometimes tells the truth.\" Who is lying?"} {"instruction": "A chat. A standard deck of cards contains 52 cards. If you draw 5 cards from the deck, what is the probability that they will all be hearts? Show your work."} {"instruction": "A chat. Three friends decide to share a pizza equally. The pizza has 12 slices. However, before they start eating, one more friend arrives, and they decide to share the pizza equally among all four of them. How many slices does each person get now?"} {"instruction": "A chat. If all squares are rectangles, and some rectangles are trapezoids, does this mean that some squares are trapezoids?"} {"instruction": "A chat. A train travels at an average speed of 80 km/h for 4 hours. How many kilometers does it cover during this time?"} {"instruction": "A chat. Two siblings, John and Jane, share a birthday but were born two years apart. Today is their birthday, and their combined age is 30 years. How old is each sibling?"} {"instruction": "A chat. If a cube has a side length of 4 centimeters, what is its volume in cubic centimeters?"} {"instruction": "A chat. A car manufacturing company produces 100 cars per day. Each car requires 4 tires. How many tires does the company need in a week (7 days)? Show your work."} {"instruction": "A chat. If a car gets 25 miles per gallon and has a 15-gallon fuel tank, how far can it travel on a full tank?"} {"instruction": "A chat. In a classroom, there are 8 boys and 12 girls. If 4 students are selected at random to form a committee, what is the probability that exactly 2 boys and 2 girls will be chosen?"} {"instruction": "A chat. A car rental company charges $20 per day for renting a car plus an additional $0.10 per mile driven. If a customer rents a car for 5 days and drives it for 200 miles, what is the total cost of the rental?"} {"instruction": "A chat. A store sells a pack of 12 pencils for $3.00. If you need to buy 50 pencils, what is the least amount of money you can spend?"} {"instruction": "A chat. A national park wants to improve its visitor experience by upgrading its trail system. They have a budget of $2 million for this project. The plan includes adding new trails, improving existing trails, and installing better signage. Calculate the individual budgets for each component of the project, assuming the following allocation: 50% for new trails, 30% for improving existing trails, and 20% for signage. Estimate the total length of new trails that can be added, considering an average cost of $100,000 per mile for trail construction. Provide step-by-step reasoning."} {"instruction": "A chat. In a standard deck of 52 playing cards, what is the probability of drawing a red card (hearts or diamonds) and then, without replacing it, drawing a black card (clubs or spades)?"} {"instruction": "A chat. It takes 3 hours to charge 6 smartphones using a multi-port charger. How long would it take to charge 18 smartphones?"} {"instruction": "A chat. A car park has 4 levels. Each level has 15 rows and each row has 8 parking spaces. How many cars can the car park hold at maximum capacity? Show your work."} {"instruction": "A chat. Calculate the derivative of f(x) = 3x^2 + 4x - 1."} {"instruction": "A chat. In a class of 40 students, 60% are boys. If the number of girls in the class increases by 50%, how many total students will there be in the class?"} {"instruction": "A chat. If it takes 6 people working together 8 hours to complete a job, how long would it take for 4 people to complete the same job, assuming they work at the same rate?"} {"instruction": "A chat. A train travels from station A to station B at a constant speed of 60 km/h. It then returns to station A at a constant speed of 90 km/h. What is the average speed for the entire trip?"} {"instruction": "A chat. A store sells apples for $1 each and oranges for $2 each. If Alice buys a combination of 5 apples and oranges for a total cost of $7, how many oranges did she buy?"} {"instruction": "A chat. In a small town, there are 200 houses. Every house has either a red or blue door. If every third house has a red door, and every fifth house has a blue door, how many houses have both red and blue doors?"} {"instruction": "A chat. A store sells books for $15 each. If they decide to give a discount of 20%, how much will each book cost after the discount? Show your work."} {"instruction": "A chat. A person burns about 100 calories per mile when running. If they run at a pace of 6 miles per hour for 45 minutes, how many calories do they burn?"} {"instruction": "A chat. A company sells two types of products: X and Y. The profit margin on product X is 25% while the profit margin on product Y is 40%. If the company sold $10,000 worth of product X and $5,000 worth of product Y in one month, what was the total profit made from these sales?"} {"instruction": "A chat. If a person saves 15% of their monthly income and spends the remaining amount on rent, utilities, groceries, and other expenses, how much money will they have saved after one year if their monthly income is $4,000?"} {"instruction": "A chat. If you have a deck of 52 playing cards, what is the probability of drawing two aces consecutively without replacement?"} {"instruction": "A chat. In a town, 60% of the population has cats, 40% has dogs, and 20% has both cats and dogs. What percentage of the population doesn't have any pets?"} {"instruction": "A chat. In a class of 30 students, there are twice as many girls as boys. How many more girls than boys are in the class?"} {"instruction": "A chat. Solve the following quadratic equation: x^2 - 5x + 6 = 0. Provide step-by-step reasoning.\n"} {"instruction": "A chat. The Earth is approximately 93 million miles away from the Sun. How many kilometers is this distance? (Use the conversion factor 1 mile = 1.60934 kilometers)"} {"instruction": "A chat. In a class of 30 students, 12 are girls and the rest are boys. If you randomly select two students from the class, what is the probability that both students are boys?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the two towns is 120 miles. If the train takes 2 hours to travel from Town A to Town B, how long will it take for the train to travel half of the distance back to Town A?"} {"instruction": "A chat. Given a sample mean of 50, a population standard deviation of 10, and a sample size of 100, calculate the margin of error for a 95% confidence interval. Explain your reasoning.\n"} {"instruction": "A chat. If it takes 6 workers 8 hours to complete a job, how long would it take for 12 workers to complete the same job?"} {"instruction": "A chat. A train leaves Station A at 12:00 PM and travels at a constant speed of 60 miles per hour towards Station B. Another train leaves Station B at 1:00 PM and travels at a constant speed of 90 miles per hour towards Station A. If the distance between the two stations is 300 miles, at what time do the trains meet?"} {"instruction": "A chat. A factory produces 250 widgets every day. How many widgets will it produce in 3 weeks if it operates 6 days a week?"} {"instruction": "A chat. You have 20 apples. You eat some apples every day for 4 days until no apples are left. Each day you eat two more apples than the previous day. How many apples do you eat on the first day? Detail your thought process."} {"instruction": "A chat. A farmer has a rectangular field with a length of 100 meters and a width of 60 meters. He wants to divide the field into square plots of equal size without any leftover area. What is the side length of each square plot?"} {"instruction": "A chat. A rectangular room measures 12 feet by 16 feet. If you want to cover the entire floor with square tiles that measure 2 feet on each side, how many tiles will you need?"} {"instruction": "A chat. In a certain city, all taxi drivers must pass a rigorous driving test before they can drive a taxi. The city's taxis come in two colors: yellow and green. It is known that 80% of the taxi drivers passed the driving test on their first attempt. Among those who failed on their first attempt, 50% eventually passed on their second try. If a randomly chosen taxi driver drives a yellow taxi, what is the probability that he passed the driving test on his first attempt?"} {"instruction": "A chat. In a town, there are 10 houses on one side of the street and 15 houses on the other side. Each house has a dog. One day, all dogs from the first side of the street gather together in one yard, while all dogs from the second side gather in another yard. If two dogs from each yard go to visit their friends at the opposite yards, how many dogs are now in each yard?"} {"instruction": "A chat. Calculate the area under the curve y = x^2 from x = 0 to x = 3 using Riemann sums."} {"instruction": "A chat. A cylindrical water tank has a diameter of 6 meters and a height of 4 meters. What is its capacity in liters?"} {"instruction": "A chat. A rectangular room has a length of 8 meters and a width of 6 meters. What is the area of the room in square meters?"} {"instruction": "A chat. A car rental company has a fleet of 120 cars. Out of these, 40% are compact cars, 30% are sedans, and the rest are SUVs. If the company wants to increase its number of SUVs by 50%, how many more SUVs should they add?"} {"instruction": "A chat. There are two boxes with apples and oranges. Box A contains 10 apples and 30 oranges, while Box B contains 20 apples and 40 oranges. If you randomly pick one fruit from each box, what is the probability that both fruits are apples?"} {"instruction": "A chat. In how many ways can you arrange the letters of the word \"SUCCESS\" such that no two S's are adjacent?"} {"instruction": "A chat. A farmer has a rectangular field that measures 300 meters by 500 meters. He wants to plant corn in the field, but he needs to leave a 10-meter-wide border around the entire field unplanted for access. What is the area of the remaining portion of the field where he can plant corn?"} {"instruction": "A chat. In a family of six children, there are three boys and three girls. Each child has a different age. The youngest boy is older than the oldest girl. What is the minimum number of siblings that must be younger than the second-oldest boy?"} {"instruction": "A chat. A car rental company has a fleet of 150 cars. If 60% of these cars are rented out on any given day, how many cars are available for rent each day?"} {"instruction": "A chat. A man gives half of his apples to his friend and then gives away another third of what remains to his neighbor. He now has 10 apples left. How many apples did he have initially?"} {"instruction": "A chat. If a basketball player scores an average of 25 points per game and has played 20 games so far, how many points does he need to score in his next 5 games to increase his average to 28 points per game?"} {"instruction": "A chat. A train leaves from Town A to Town B at 60 mph. At the same time, another train leaves from Town B to Town A at 80 mph. The distance between the two towns is 420 miles. How many hours will it take for the trains to meet each other?"} {"instruction": "A chat. There are 100 people in a room. Half of them are wearing hats, and half of the hat-wearers are also wearing glasses. A quarter of the people with glasses are wearing red shirts. How many people are wearing both hats and red shirts?"} {"instruction": "A chat. Three friends decide to split the cost of a $60 gift equally among themselves. However, one friend realizes they only have $15, while the other two friends have enough money to cover their shares. How much will each of the remaining two friends need to contribute to make up for the shortage?"} {"instruction": "A chat. A box contains red balls and blue balls. There are 3 times as many red balls as blue balls. If you randomly pick two balls from the box without replacement, the probability of picking two red balls is 1/2. How many blue balls are in the box? Provide step-by-step logic."} {"instruction": "A chat. There are 8 apples and 6 oranges in a basket. If you take out 3 apples, how many fruits are left in the basket?"} {"instruction": "A chat. Calculate the surface area of a sphere with a radius of 6 centimeters, providing step-by-step reasoning.\n"} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. If all the house numbers that contain the digit \"7\" are painted red, how many houses will be painted red?"} {"instruction": "A chat. A telecommunications company plans to expand its network coverage by installing new cell towers across the country. The company currently has 10,000 towers, providing coverage to 90% of the population. They aim to increase coverage to 95% by adding new towers strategically. Estimate the number of additional towers needed and discuss factors that may influence tower placement, such as population density, geographic features, and regulatory requirements.\n"} {"instruction": "A chat. A box contains 12 red balls, 18 blue balls, and 20 green balls. If you were to pick one ball at random, what is the probability that it would be either red or blue?"} {"instruction": "A chat. Evaluate the line integral \u222bC F\u22c5dr, where F(x, y) = xi + yj and C is the curve parametrized by r(t) = ti + t^2j for 0 \u2264 t \u2264 1."} {"instruction": "A chat. A tech company is developing a new smartphone model and needs to calculate the production cost per unit. The components include a screen for $50, a battery for $20, a processor for $30, and other miscellaneous parts totaling $40. The assembly cost is $10 per unit, and the company plans to produce 100,000 units in the first batch. Calculate the total production cost and the cost per unit.\n"} {"instruction": "A chat. In a small town, there are 20 houses on one side of the street and 30 houses on the other side. Each house has a unique number from 1 to 50. If all even-numbered houses are painted blue and all odd-numbered houses are painted red, how many blue houses are on the side with 20 houses?"} {"instruction": "A chat. A farmer has chickens and cows on his farm. He counts a total of 36 heads and 100 legs among all the animals. How many chickens does he have?"} {"instruction": "A chat. In a family of 6 children, each child has at least one brother and one sister. What is the minimum number of boys in the family?"} {"instruction": "A chat. A rectangular box has dimensions of 6 inches in length, 4 inches in width, and 3 inches in height. What is the surface area of the box?"} {"instruction": "A chat. A train travels at an average speed of 80 km/h for a distance of 240 km. How long does it take to complete this journey?"} {"instruction": "A chat. Solve for x: log(x) + log(10) = 2."} {"instruction": "A chat. A construction company is building a new housing development consisting of single-family homes and apartment buildings. The total land area available for the project is 500 acres, with zoning regulations allowing up to 40% coverage by buildings. Single-family homes require 0.25 acres per unit, while apartment buildings need 1 acre per building, accommodating 20 units each. The company wants to maximize the number of residential units within the given constraints. Determine the optimal mix of single-family homes and apartment buildings, taking into account infrastructure costs such as roads, utilities, and green spaces. Explain your reasoning.\n"} {"instruction": "A chat. A group of friends goes out to dinner, and they decide to split the bill evenly. The total cost of the meal is $150, and there is a 15% service charge added to the bill. If there are 6 people in the group, how much does each person need to pay?"} {"instruction": "A chat. Solve: (4 * 3) / (2^3) + 5 * (6 - 2)"} {"instruction": "A chat. If a car travels at a constant speed of 60 miles per hour, how far will it travel in 2 hours and 45 minutes?"} {"instruction": "A chat. A rectangular garden is 15 meters long and 8 meters wide. If a gardener wants to add a 2-meter-wide border around the entire garden, what will be the new dimensions and area of the garden including the border?"} {"instruction": "A chat. There are 100 light bulbs lined up in a row. All of them are initially turned off. You go through the line and flip every switch, turning all the lights on. Then you go back and flip every second switch (switches 2, 4, 6...). On your third pass, you flip every third switch (switches 3, 6, 9...), and so on. After going through the line 100 times, how many light bulbs are still on?"} {"instruction": "A chat. A store sells a pack of pens for $6. If there is a 20% discount on the price and a 5% sales tax applied after the discount, what will be the final cost of the pack of pens?"} {"instruction": "A chat. If I have 3 apples and you give me 2 oranges, how many pineapples do we have?"} {"instruction": "A chat. A bakery wants to expand its operations by opening three new locations in different cities. Each location will require an initial investment of $100,000 for renovations and equipment, as well as ongoing monthly expenses of $10,000 for rent, utilities, and salaries. The bakery expects to generate $20,000 in revenue per month from each new location. Determine the break-even point (in months) for each new location and explain your reasoning.\n"} {"instruction": "A chat. In a town, there are 10 houses on one side of the street and 15 houses on the other side. Each house has a dog living in it. However, three dogs from the first side of the street always go to the second side of the street to play with their friends. How many dogs are there in total?"} {"instruction": "A chat. Determine the probability of rolling a sum of 7 when rolling two six-sided dice. Explain your reasoning.\n"} {"instruction": "A chat. If it takes 5 machines 10 hours to produce 50 items, how long will it take 10 machines to produce 100 items?"} {"instruction": "A chat. In an election with four candidates, candidate A receives 40% of the votes, candidate B receives 30%, candidate C receives 20%, and candidate D receives the remaining votes. If there are 2,500 total votes cast, how many more votes does candidate A receive than candidate D?"} {"instruction": "A chat. A hospital is conducting a study on the efficiency of its emergency department (ED). They want to analyze patient wait times, treatment durations, and staffing levels during peak hours. The ED has 20 beds and operates at an average occupancy rate of 80%. During peak hours, there are 12 doctors and 24 nurses working. On average, patients spend 3 hours in the ED, with 1 hour waiting and 2 hours receiving treatment. Develop a plan to optimize staffing levels and reduce patient wait times, providing step-by-step reasoning.\n"} {"instruction": "A chat. In a group of people, 75% have brown eyes, and 60% have long hair. If 45% of the people have both brown eyes and long hair, what percentage of those with brown eyes also have long hair?"} {"instruction": "A chat. In a town, there are 3 doctors and 2 dentists. Each doctor has 4 patients, while each dentist has 5 patients. How many total patients do the doctors and dentists have?"} {"instruction": "A chat. A company produces 12000 units of product every week. Each unit requires 3 hours of labor to produce. How many full-time employees (working 40 hours per week) are needed to meet this production level?"} {"instruction": "A chat. In a room, there are 4 people. Each person has a different number of coins in their pocket. The total number of coins is 30. John has the most coins, and he has twice as many coins as Alice. Bob has one more coin than Alice, and Cindy has 3 fewer coins than Bob. How many coins does each person have?"} {"instruction": "A chat. In a city, 60% of the population own a car. If the city has a population of 500,000 people, how many people do not own a car? Show your work."} {"instruction": "A chat. There are four cards on a table. Each card has a letter on one side and a number on the other side. The visible sides show A, B, 2, and 3. You need to verify if every card with an 'A' on one side has a '2' on the other side. Which cards must you flip over to check this rule?"} {"instruction": "A chat. There are 5 apples and 7 oranges on a table. If you take away 3 apples, how many fruits are left?"} {"instruction": "A chat. A logistics company wants to optimize its delivery routes to minimize fuel consumption and travel time. They have 20 trucks, each with a capacity of 10 tons, and need to deliver goods to 50 different locations within a city. The average distance between the warehouse and delivery points is 15 miles, and each truck can cover 5 miles per gallon of fuel. Calculate the total fuel consumption for all deliveries, assuming that each truck makes only one trip per day and carries its maximum load. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A farmer has 120 acres of land on which he plants corn and wheat. He plants three times as many acres of corn as wheat. How many acres of each crop does he plant?"} {"instruction": "A chat. Solve: (8 - 3 * 2) / (1 + 2^2) ="} {"instruction": "A chat. In a class of 30 students, 18 are taking English and 12 are taking History. If 6 students are taking both English and History, how many students are taking either English or History but not both?"} {"instruction": "A chat. If you have a cube with an edge length of 6 inches, what is the total surface area of the cube?"} {"instruction": "A chat. In a class of 30 students, 18 are boys and the rest are girls. If half of the boys and two-thirds of the girls wear glasses, how many students in total wear glasses?"} {"instruction": "A chat. In a class of 30 students, 18 play soccer, 20 play basketball, and 22 play volleyball. If 12 students play all three sports, how many students play exactly two sports?"} {"instruction": "A chat. A factory produces 120 widgets per hour. Due to an increase in demand, the factory increases its production rate by 25%. How many widgets does the factory now produce in a day? Break down your answer."} {"instruction": "A chat. A train leaves Town A for Town B at a speed of 60 mph. At the same time, another train leaves Town B for Town A at a speed of 90 mph. The distance between the two towns is 300 miles. How far apart will the trains be after 1 hour?"} {"instruction": "A chat. A group of people consists of engineers, doctors, and lawyers. All engineers are older than all doctors, and all doctors are older than all lawyers. If there are 4 engineers, 3 doctors, and 5 lawyers in the group, what is the maximum possible age difference between the youngest engineer and the oldest lawyer? Provide step-by-step logic."} {"instruction": "A chat. Design an algorithm to solve a complex optimization problem, providing step-by-step reasoning and analysis of its efficiency."} {"instruction": "A chat. A company produces 1500 units of product A and 2500 units of product B in one month. The profit for each unit of product A is $12, while the profit for each unit of product B is $8. What is the total profit generated by both products in one month?"} {"instruction": "A chat. There are 10 apples in a basket. You take away 3 apples and then put back 2 apples. How many apples are left in the basket?"} {"instruction": "A chat. A national park wants to increase its visitor capacity by building new campgrounds. Each campground can accommodate up to 100 tents, with a maximum of 4 people per tent. The park has a budget of $300,000 for this project, and each campground costs $50,000 to build. Calculate how many campgrounds can be built within the budget and determine the maximum number of visitors that can be accommodated in these new campgrounds. Explain your reasoning.\n"} {"instruction": "A chat. A group of people consists of mathematicians and engineers. All mathematicians wear glasses, but only half of the engineers wear glasses. If there are 40 people wearing glasses and 60% of the group are engineers, how many people are in the group? Provide step-by-step logic."} {"instruction": "A chat. In a bag of fruits, there are 5 apples, 7 oranges, and 4 bananas. If you randomly pick one fruit from the bag without looking, what is the probability that it's an apple or a banana?"} {"instruction": "A chat. An airline is analyzing its fleet expansion strategy over the next five years. They plan to purchase 15 new aircraft, with varying capacities ranging from 150 to 300 passengers. The airline's current load factor (percentage of occupied seats) is 75%, but they aim to increase it to 85% with the new planes. Estimate the total number of additional passengers the airline can accommodate per year with the new aircraft, considering an average of 5 flights per day for each plane.\n"} {"instruction": "A chat. A city is planning to build a new sports complex with multiple facilities, including a soccer field, basketball courts, and a swimming pool. The construction budget is $10 million, and the cost breakdown for each facility is as follows: soccer field - $3 million, basketball courts - $2 million per court, and swimming pool - $4 million. The city also needs to allocate 20% of the budget for landscaping and parking. Determine how many basketball courts can be built within the budget constraints while still accommodating all other facilities and requirements. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A factory produces 500 units of a product every day. The factory operates for 6 days a week and takes one day off. How many units does the factory produce in 4 weeks?"} {"instruction": "A chat. In a village, there are 50 houses. Each house has either blue or red doors. If every two neighboring houses have different colored doors, how many houses have blue doors?"} {"instruction": "A chat. A company has a total of 100 employees, consisting of managers and workers. The ratio of managers to workers is 1:9. How many managers and workers are there in the company?"} {"instruction": "A chat. In a small town, there are 5 houses in a row. The green house is next to the white house. The blue house is at one end of the row and has no neighbors on one side. The red house is not next to the blue house. What color is the middle house?"} {"instruction": "A chat. There are 4 boxes in a room, each containing different numbers of apples. Box A has more apples than Box B but fewer apples than Box C. Box D has the least number of apples. If we know that there are a total of 100 apples across all boxes, can we determine how many apples are in each box?"} {"instruction": "A chat. In a certain city, the number of cars increases by 8% every year. If there are currently 50,000 cars in the city, how many cars will there be after 5 years?"} {"instruction": "A chat. A sequence is defined recursively by a_1 = 3, a_2 = 5, and a_(n+2) = a_(n+1) - a_n for n \u2265 1. What is the value of a_6?"} {"instruction": "A chat. An amusem*nt park plans to introduce a new roller coaster ride. The ride can accommodate 24 passengers at a time and takes 3 minutes to complete one cycle. The park expects an average wait time of 15 minutes per passenger during peak hours. Calculate the number of cycles the ride must complete per hour to meet demand and estimate the annual revenue generated by the ride, assuming the park operates 10 hours a day, 250 days a year, and charges $5 per ride. Provide detailed calculations and reasoning.\n"} {"instruction": "A chat. A telecommunications company is planning to expand its network coverage by installing new cell towers in rural areas. The company has identified 500 locations where new towers are needed. Each tower costs $150,000 to build and requires annual maintenance expenses of $10,000. Calculate the total investment required for this project over a period of 10 years, considering a 3% annual inflation rate for construction and maintenance costs.\n"} {"instruction": "A chat. Calculate the area of a trapezoid with bases 8 cm and 12 cm, and height 5 cm."} {"instruction": "A chat. In a class, there are 20 students. If every student has exactly 4 friends in the class, how many friendships exist among the students?"} {"instruction": "A chat. A school has 8 classrooms. Each classroom has 25 students. How many students are there in the school? Provide step-by-step logic."} {"instruction": "A chat. There are 4 red balls and 6 blue balls in a box. You randomly pick two balls without replacement. What is the probability that you picked one ball of each color?"} {"instruction": "A chat. A class has 12 students, and each student must be part of either a debate team or a chess club. If there are twice as many students in the debate team as there are in the chess club, how many students are in each group? Provide step-by-step logic."} {"instruction": "A chat. Determine the integral of the function h(x) = 3x^2 - 2x + 1 with respect to x. Explain your calculations.\n"} {"instruction": "A chat. A water tank has a capacity of 10,000 liters. It is currently filled with 2,500 liters of water. If a pipe fills the tank at a rate of 200 liters per minute, how long will it take to fill the tank completely?"} {"instruction": "A chat. You toss a fair coin 10 times. What is the probability that you get exactly 6 heads? Show your work."} {"instruction": "A chat. There are 7 people in a room. Each person shakes hands with every other person exactly once. How many handshakes occur in total?"} {"instruction": "A chat. A rectangular garden measures 30 feet by 40 feet. If a gardener wants to plant flowers along the perimeter of the garden with one flower every 2 feet, how many flowers will they need?"} {"instruction": "A chat. There are 30 students in a class. Half of them wear glasses, one-third of them wear braces, and 6 students wear both glasses and braces. How many students wear neither glasses nor braces?"} {"instruction": "A chat. An elevator can carry a maximum of 15 people. If 56 people are waiting to take the elevator, how many trips will the elevator have to make? Explain your thought process."} {"instruction": "A chat. An airline company wants to optimize its flight routes between three major cities (A, B, and C). Currently, they operate direct flights between each pair of cities, with varying frequencies depending on demand. City A has 20 daily flights to City B, 15 daily flights to City C, while City B has 25 daily flights to City C. The company plans to introduce a hub-and-spoke model, where all flights go through a central hub (City H) before reaching their final destination. Calculate the number of flights needed between each city pair under the new model, considering that the total number of flights should remain the same.\n"} {"instruction": "A chat. A rectangular room has a length of 12 meters and a width of 8 meters. If you want to place square tiles on the floor without cutting any tiles, what is the largest possible size for each tile?"} {"instruction": "A chat. In a game show, you have three doors to choose from. Behind one door is a car, while behind the other two doors are goats. You pick Door 1. The host, who knows what's behind each door, opens Door 3 to reveal a goat. He then asks if you want to switch your choice to Door 2 or stick with Door 1. Should you switch, stick, or does it not matter?"} {"instruction": "A chat. In a village, there are 20 houses. Each house has at least one cat. If no two cats from different houses are friends, and every cat has exactly three cat friends, how many cats are in the village?"} {"instruction": "A chat. There are 12 people on an island. Every day, two random people meet up and exchange everything they've collected that day. On the first day, everyone collects exactly one item. After seven days, how many items does each person have?"} {"instruction": "A chat. A cylindrical container has a diameter of 8 inches and a height of 12 inches. What is the volume of this container in cubic inches?"} {"instruction": "A chat. A store has a 20% discount on all items during a sale. If a customer buys an item originally priced at $80, how much will they pay after the discount?"} {"instruction": "A chat. A large bakery wants to optimize its production process by investing in new equipment. They currently produce 10,000 loaves of bread daily using manual labor and traditional ovens, with an average production cost of $2 per loaf. The proposed automated system can produce 15,000 loaves daily at a reduced cost of $1.50 per loaf. The new equipment has an upfront cost of $500,000 and an estimated lifespan of five years. Calculate the payback period for this investment and determine whether it's financially viable for the bakery."} {"instruction": "A chat. Compute the double integral of xy over the region bounded by y=x and y=x^2."} {"instruction": "A chat. A rectangular garden has a length of 20 feet and a width of 15 feet. What is the area of the garden in square yards?"} {"instruction": "A chat. A zoo is planning to expand its facilities by adding new animal enclosures and visitor amenities. The expansion will cover an area of 50 acres, with 70% dedicated to animal enclosures and 30% for visitor amenities like restaurants, restrooms, and gift shops. Calculate the total area allocated for each purpose. Additionally, estimate the number of new animals that can be accommodated in the expanded zoo, considering that each enclosure requires an average of 0.5 acres per species and houses an average of 10 animals per species.\n"} {"instruction": "A chat. It takes 3 hours to charge a smartphone from 0% to 100%. How long would it take to charge four smartphones?"} {"instruction": "A chat. There are 8 houses on a street. The even-numbered houses are painted blue, and the odd-numbered houses are painted red. House number 1 is at the beginning of the street, and house number 8 is at the end of the street. How many blue houses are between the first red house and the last red house?"} {"instruction": "A chat. A factory produces 500 units of product X in 8 hours. If the factory increases its production rate by 25%, how many units of product X will be produced in 10 hours?"} {"instruction": "A chat. A hospital is evaluating the efficiency of its emergency department (ED) and aims to reduce patient waiting times. Currently, the ED has 10 doctors working 12-hour shifts, with an average of 5 patients per hour. The hospital administration believes that increasing the number of doctors on duty will decrease patient waiting times. Calculate how many additional doctors are needed to reduce the average waiting time by half, assuming each doctor can handle the same workload. Describe your approach to solving this problem.\n"} {"instruction": "A chat. Using Fourier series, approximate the function f(x) = x^2 on the interval [-\u03c0, \u03c0]. Show your work and explain each step in the process."} {"instruction": "A chat. There are 8 apples on a table. You take away 3 apples. How many apples do you have?"} {"instruction": "A chat. A car rental company charges $25 per day for renting a car plus an additional fee of $0.15 per mile driven. If you rent a car for 3 days and drive it for a total of 200 miles, how much will the rental cost?"} {"instruction": "A chat. A company has a total of 500 employees, with 60% working full-time and the remaining 40% working part-time. If the average salary for a full-time employee is $50,000 per year and the average salary for a part-time employee is $25,000 per year, what is the combined annual salary cost for all employees?"} {"instruction": "A chat. In a factory, 6 machines can produce a total of 180 units per hour. If the factory operates for 10 hours a day, how many units will be produced in one week?"} {"instruction": "A chat. A logistics company wants to optimize its warehouse operations to reduce costs and improve efficiency. They currently operate 10 warehouses, each covering an area of 100,000 square feet. On average, each warehouse stores 5,000 pallets of goods at any given time. The company spends $1 million annually on labor, utilities, and maintenance for each warehouse. Analyze the current operational costs and propose strategies to streamline processes, reduce expenses, and increase overall productivity."} {"instruction": "A chat. Solve the system of equations: x + y = 5 and 2x - y = 1, providing step-by-step explanations.\n"} {"instruction": "A chat. A factory produces 1000 units of product A and 1500 units of product B every day. Product A requires 2 hours of labor to produce one unit, while product B requires 3 hours of labor to produce one unit. If the factory operates 24 hours a day, how many workers are needed to meet this production schedule?"} {"instruction": "A chat. In a race, Tom finishes before Jerry, and Jerry finishes before Spike. If no two racers finish at the same time, who finishes last?"} {"instruction": "A chat. How long would it take for a car traveling at 65 mph to reach the moon?"} {"instruction": "A chat. There are 500 students in a school. If 60% of them are boys, how many girls are there in the school? Include your reasoning."} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B in a day. Each unit of product A weighs 10 pounds, while each unit of product B weighs 15 pounds. If the factory operates for 6 days, what is the total weight of products produced?"} {"instruction": "A chat. A sports team is planning to build a new stadium with a seating capacity of 60,000 spectators. The stadium will include luxury suites, club seats, and general admission sections, with varying ticket prices depending on the location and amenities offered. Estimate the total construction cost of the stadium, including land acquisition, design fees, and building expenses. Also, calculate the expected annual revenue generated by ticket sales, concessions, and other sources, assuming an average of 20 home games per season. Provide step-by-step reasoning.\n"} {"instruction": "A chat. Write down the first five terms of the Taylor series expansion of e^x about x = 0."} {"instruction": "A chat. Determine the probability of rolling a sum of 7 on two six-sided dice. Show your work.\n"} {"instruction": "A chat. A theme park is planning to add a new roller coaster to attract more visitors. The roller coaster has a maximum capacity of 24 passengers per ride and takes 3 minutes to complete. The park expects an average wait time of no more than 30 minutes for guests in line. Calculate the minimum number of rides per hour needed to achieve this goal, taking into account loading and unloading times. Explain your reasoning.\n"} {"instruction": "A chat. In a certain country, every citizen must pay an annual tax based on their income. Those who earn less than $10,000 per year pay no tax. Those who earn between $10,000 and $50,000 per year pay 10% tax. Those who earn more than $50,000 per year pay 20% tax. If someone earns $60,000 per year, how much tax do they owe?"} {"instruction": "A chat. A factory produces 2000 units of product A per day at a cost of $10 per unit. They decide to increase production by 25%, but this results in an increased cost of $2 per unit. What is the new daily cost of producing product A?"} {"instruction": "A chat. A pharmaceutical company is considering the acquisition of a smaller biotech firm that specializes in gene therapy research. The acquisition price is $1 billion, and the company expects to generate annual revenues of $200 million from the acquired firm's existing products. Calculate the payback period for this investment and analyze the potential long-term benefits, such as new product development, synergies, and market share growth. Describe your reasoning.\n"} {"instruction": "A chat. A factory produces 500 units of a product per day. Due to increased demand, they decide to increase production by 20% each week for the next three weeks. How many total units will be produced over these three weeks?"} {"instruction": "A chat. How many square feet are there in a rectangular room that measures 12 feet by 16 feet?"} {"instruction": "A chat. If you toss a coin three times, what is the probability of getting exactly two heads? Show your work."} {"instruction": "A chat. Given the Laplace transform F(s) = 1/(s^2 + 4s + 13), find the inverse Laplace transform f(t)."} {"instruction": "A chat. A cruise ship company wants to optimize its fleet's fuel efficiency and environmental impact by analyzing factors such as vessel size, engine type, cruising speed, and itinerary. The company currently operates five different types of vessels, each with varying passenger capacities, fuel consumption rates, and emissions levels. Based on historical data and future projections, calculate the most environmentally friendly and cost-effective fleet composition that meets the company's operational needs. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A construction company is bidding on a large infrastructure project that requires the use of specialized equipment. The company needs to decide whether to purchase or lease the required equipment, considering factors such as upfront costs, maintenance expenses, depreciation, and tax implications. Develop a cost-benefit analysis comparing the two options and provide recommendations based on your findings.\n"} {"instruction": "A chat. Four friends decide to share an order of 12 cookies equally among themselves. However, before they can eat, one friend leaves the room. The remaining three friends then decide to split the cookies equally again. How many cookies does each person now get?"} {"instruction": "A chat. A train travels at an average speed of 80 kilometers per hour. It takes 5 hours to complete its journey. How long is the entire trip in kilometers?"} {"instruction": "A chat. A factory produces 500 units of product A per day and 300 units of product B per day. Product A has a defect rate of 2% and product B has a defect rate of 5%. What is the overall defect rate for both products combined?"} {"instruction": "A chat. A train travels at an average speed of 80 kilometers per hour (kph) for 3 hours. How many meters does it travel during this time?"} {"instruction": "A chat. A large supermarket chain wants to analyze its inventory management system to reduce waste and improve product availability. They have data on daily sales, inventory levels, and product shelf life for each item in their stores. Describe a step-by-step process to identify products with high waste rates and low availability, and suggest possible solutions to improve the situation.\n"} {"instruction": "A chat. A rectangular garden measures 30 feet by 50 feet. If you want to build a fence around the entire perimeter and place posts every 10 feet, how many fence posts will be needed?"} {"instruction": "A chat. A train takes 5 hours to travel between two cities at an average speed of 80 miles per hour. If the train's speed were increased by 20 miles per hour, how long would it take to travel between the two cities?"} {"instruction": "A chat. A farmer sells apples at $2 per pound. In one week, he sells 150 pounds of apples on Monday, 200 pounds on Tuesday, 250 pounds on Wednesday, 300 pounds on Thursday, 350 pounds on Friday, and 400 pounds on Saturday. How much money does he make from selling apples during that week?"} {"instruction": "A chat. In a group of 30 people, 18 have brown eyes and 12 have blue eyes. If you randomly select two people from the group, what is the probability that both have blue eyes?"} {"instruction": "A chat. A rectangular garden has a length that is 4 meters longer than its width. If the area of the garden is 240 square meters, what are the dimensions of the garden?"} {"instruction": "A chat. A construction company is building a new residential complex consisting of 10 apartment buildings, each with 50 units. The company needs to determine the required capacity for water storage tanks, taking into account the average daily water consumption per person (150 liters), the average number of residents per unit (3 people), and the need for a 3-day emergency reserve. Calculate the total water storage capacity needed for the entire complex and provide step-by-step reasoning.\n"} {"instruction": "A chat. An airline company wants to introduce a new direct flight route between two cities located 5,000 miles apart. The aircraft they plan to use has a maximum range of 6,000 miles and can carry up to 250 passengers. However, due to varying headwinds and tailwinds, the actual distance traveled may vary by up to 10%. Calculate the minimum and maximum possible fuel consumption for this route, given that the aircraft consumes 0.05 gallons of fuel per mile per passenger. Explain your calculations in steps.\n"} {"instruction": "A chat. If a factory produces 500 units of a product every day, how many units does it produce in a non-leap year? Show your work."} {"instruction": "A chat. A car travels 180 miles on 12 gallons of gas. What is its fuel efficiency in miles per gallon?"} {"instruction": "A chat. If a baker uses 5 eggs to make 10 cupcakes, how many eggs will he use to make 60 cupcakes? Explain your reasoning."} {"instruction": "A chat. There are 30 birds on a tree. A hunter shoots and kills 5 of them. How many birds are left on the tree?"} {"instruction": "A chat. If a person drinks 8 glasses of water per day, each containing 250 milliliters (mL), how many liters of water does the person consume in a month? Assume there are 30 days in the month."} {"instruction": "A chat. In a family of 6, there are two parents and four children. The father is older than the mother. The youngest child is half the age of the second oldest child. The third oldest child is twice as old as the youngest child. If the sum of all their ages is 180 years, how old is the mother?"} {"instruction": "A chat. A factory produces two types of widgets, Type A and Type B. Each Type A widget weighs 5 pounds, and each Type B widget weighs 8 pounds. If a shipment contains a total of 50 widgets with a combined weight of 320 pounds, how many of each type of widget are in the shipment?"} {"instruction": "A chat. A company produces 150 units of a product each day at a cost of $25 per unit. They sell each unit for $40. How much profit does the company make after 30 days?"} {"instruction": "A chat. Integrate the function f(x) = 3x^2 + 2x - 1 from x = 0 to x = 5."} {"instruction": "A chat. In a room, there are 5 people. Each person has a different number of apples in their basket. The total number of apples is 20. If the person with the most apples gives half of their apples to the person with the least apples, how many apples does the person with the most apples have left?"} {"instruction": "A chat. A store sells a product at a price of $60 per unit. Due to increased competition, they decide to offer a discount of 15% on the product. If their cost to produce each unit is $40, what will be their new profit margin percentage after applying the discount?"} {"instruction": "A chat. If a car rental company has 50 cars, and they rent out 80% of their cars every day, how many cars will be rented out in total over the course of one week?"} {"instruction": "A chat. An airline is analyzing its flight routes to maximize profitability. It operates a fleet of 50 aircraft, each with a seating capacity of 180 passengers. The airline offers flights to 100 destinations, with varying distances and ticket prices. Determine the most profitable combination of routes and flight frequencies, considering factors such as fuel costs, airport fees, and passenger demand. Provide a step-by-step approach to solve this problem.\n"} {"instruction": "A chat. A city has a population of 500,000 people. If 60% of the population uses public transportation daily and each person pays an average fare of $2, how much revenue does the public transportation system collect in one month?"} {"instruction": "A chat. In an election, candidate A received 55% of the votes, while candidate B received 35%. The remaining votes were invalid. If there were 20,000 valid votes cast, how many invalid votes were there?"} {"instruction": "A chat. In a small village, there are 5 houses in a row. Each house is painted with one of three colors: red, blue, or yellow. No two adjacent houses have the same color. The first and last houses are not yellow. How many possible combinations of house colors are there?"} {"instruction": "A chat. A company has 100 employees. 40% of the employees are managers, and 60% of the managers have a degree. Among non-managers, 25% have a degree. What percentage of the total employees have a degree? Provide step-by-step logic."} {"instruction": "A chat. I have 20 books and read 5 magazines. How many books do I have left?"} {"instruction": "A chat. A standard deck of cards contains 52 cards. If you draw one card from the deck, what is the probability that it will be a face card (Jack, Queen, King)? Explain your reasoning."} {"instruction": "A chat. If a car travels at a constant speed of 60 mph for 3 hours and then increases its speed to 80 mph for another 2 hours, what is the total distance traveled?"} {"instruction": "A chat. A university is evaluating its on-campus housing options for students. There are three types of accommodations available: dormitories, shared apartments, and private apartments. The average monthly rent for each option is as follows: $600 for dormitories, $800 for shared apartments, and $1,200 for private apartments. The university has a total of 5,000 available housing units, with a distribution of 50% dormitories, 30% shared apartments, and 20% private apartments. Calculate the total potential monthly revenue from student housing and identify which accommodation type generates the highest income."} {"instruction": "A chat. In a room of 23 people, what are the chances that two people share the same birthday? Explain step-by-step."} {"instruction": "A chat. There are 12 coins, all identical in appearance. However, one coin is either heavier or lighter than the others. Using a balance scale, what is the minimum number of weighings needed to identify the unique coin?"} {"instruction": "A chat. A fruit salad recipe calls for 2 cups of grapes, 1 cup of strawberries, and 3 cups of pineapple. If you want to make a half-sized portion of the recipe, how many cups of each fruit do you need?"} {"instruction": "A chat. A train leaves from Station A and travels towards Station B at a constant speed. Halfway through its journey, it starts raining heavily, causing the train to reduce its speed by 50%. If the total travel time was 3 hours, how long did it take for the train to cover the first half of the distance?"} {"instruction": "A chat. In a school of 800 students, 60% are boys and the rest are girls. If 40% of the boys and 30% of the girls participate in sports, how many total students participate in sports?"} {"instruction": "A chat. A box contains 10 red balls, 20 green balls, and 30 blue balls. You randomly pick two balls without replacement. What is the probability that both balls are either red or green? Provide step-by-step logic."} {"instruction": "A chat. There are 7 chairs in a row. If Alice and Bob want to sit next to each other, how many different ways can they be seated along with five other people?"} {"instruction": "A chat. A train travels from Town A to Town B at 60 miles per hour and then returns to Town A at 40 miles per hour. What is the average speed for the entire trip?"} {"instruction": "A chat. Solve the heat equation u_t = k * u_xx for an insulated rod of length L with initial temperature distribution f(x) and constant k > 0."} {"instruction": "A chat. If you have a standard deck of 52 playing cards and draw 5 cards at random without replacement, what is the probability that all 5 cards are of the same suit?"} {"instruction": "A chat. Find the derivative of f(x) = ln(x^2 + 1)."} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. If it takes the train 2 hours to travel from station A to station B, how long will it take for the train to travel back from station B to station A if its speed is increased by 20%?"} {"instruction": "A chat. A large hotel chain plans to renovate its properties across the country. There are 500 hotels in the chain, each with an average of 200 rooms. The renovation will include updating the furniture, repainting the walls, and installing energy-efficient lighting systems. The estimated cost for each room's renovation is $10,000. Calculate the total cost of the renovation project and estimate how long it would take to complete if the company can renovate 20 rooms per day.\n"} {"instruction": "A chat. Solve the system of equations: y = 2x - 3 and y = x + 1. Show your work.\n"} {"instruction": "A chat. A car is traveling at a constant speed of 50 miles per hour. How long will it take for the car to travel 375 miles?"} {"instruction": "A chat. A company has a monthly expense of $5,000 for rent and utilities. The company earns an average profit of $20 per product sold. How many products must be sold each month to cover the rent and utility expenses?"} {"instruction": "A chat. A group of friends is playing a game where they must stand in a circle. They can only form a valid circle if no two people standing next to each other are wearing the same color shirt. There are 5 people wearing red shirts, 3 people wearing blue shirts, and 2 people wearing green shirts. What is the maximum number of people that can form a valid circle?"} {"instruction": "A chat. In a certain town, 50% of families own a cat, 40% of families own a dog, and 20% of families own both a cat and a dog. What percentage of families in the town own either a cat or a dog, or both?"} {"instruction": "A chat. You have a deck of 52 playing cards. If you draw 5 cards at random without replacing them, what is the probability that all 5 cards will be hearts?"} {"instruction": "A chat. In a certain city, there are 100,000 people. The population is growing at a rate of 2% per year. How many people will there be in the city after 10 years?"} {"instruction": "A chat. There are two boxes, one containing 10 white balls and the other containing 5 black balls and 5 white balls. You randomly choose a box and draw a ball from it. The ball is white. What is the probability that you chose the first box?"} {"instruction": "A chat. In a class of 40 students, 55% are girls. How many boys are there in the class? Include your logic."} {"instruction": "A chat. If all cats are animals, and some animals are mammals, does that mean all cats are mammals?"} {"instruction": "A chat. There are 100 people in a room. Half of them are wearing hats, and the other half are not. If 10 hat-wearing people leave the room, how many people with hats remain in the room?"} {"instruction": "A chat. There are 100 people in a room. 75% of them play guitar and 45% of them play piano. What is the maximum percentage of people who could play both instruments? Explain your thought process."} {"instruction": "A chat. A train travels at a constant speed of 80 km/h for the first half of its journey and then increases its speed to 120 km/h for the second half. What is the average speed of the train during the entire journey?"} {"instruction": "A chat. Determine the radius and interval of convergence for the power series \u2211(n!x^n)/n^n."} {"instruction": "A chat. You have a deck of 52 playing cards. You draw five cards from the deck without replacement. What is the probability that you draw exactly three kings and two queens?"} {"instruction": "A chat. You have two coins in your pocket. One is a fair coin with heads on one side and tails on the other. The other coin has heads on both sides. You randomly pick one of the coins and flip it without looking at its faces. It lands showing heads. What is the probability that you picked the fair coin?"} {"instruction": "A chat. If it takes 6 men 4 hours to dig 8 holes, how long will it take 12 men to dig 16 holes?"} {"instruction": "A chat. John reads 30 pages of a book per day and Jane reads 50 pages of the same book per day. If the book has 450 pages, who will finish reading the book first and by how many days? Include your logic."} {"instruction": "A chat. A factory produces 250 units of a product per day. If the factory operates for 6 days a week and takes 2 weeks off per year for maintenance, how many units will it produce in one year?"} {"instruction": "A chat. A company has a monthly budget of $50,000. They spend 40% on salaries, 25% on rent and utilities, and 15% on marketing. The remaining amount is divided equally among four departments for miscellaneous expenses. How much does each department receive for miscellaneous expenses?"} {"instruction": "A chat. In a family gathering, there are 15 people who shake hands with one another once. How many handshakes happen in total?"} {"instruction": "A chat. In a certain town, 60% of families own a dog, 30% own a cat, and 20% own both a dog and a cat. What percentage of families own either a dog or a cat, but not both?"} {"instruction": "A chat. A factory produces 2500 widgets per day. If each widget weighs 1.2 pounds, how many pounds of widgets does the factory produce in a week?"} {"instruction": "A chat. There are 5 red balls and 3 blue balls in a bag. You draw two balls from the bag without looking. What is the probability that you have drawn one ball of each color?"} {"instruction": "A chat. It takes 2 hours to wash a car by hand. How long will it take to wash 5 cars?"} {"instruction": "A chat. A sequence of numbers follows the rule that each term after the first is obtained by multiplying the previous term by 3 and then subtracting 1. If the first term is 2, what is the sum of the first five terms of the sequence?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes 30 minutes to travel from Station A to Station B. How long will it take the train to travel from Station A to Station C if Station C is twice as far away from Station A as Station B is?"} {"instruction": "A chat. A rectangular garden measures 30 feet by 40 feet. If you want to build a fence around it with an additional 5 feet on each side, what will be the perimeter of the fenced area?"} {"instruction": "A chat. Calculate the curl of the vector field F(x, y, z) = (yz, xz, xy)"} {"instruction": "A chat. A company has a revenue of $10,000 per month and expenses of $6,500 per month. If they decide to increase their monthly revenue by 20% and decrease their monthly expenses by 15%, what will be their new monthly profit?"} {"instruction": "A chat. In a factory, there are 6 machines producing widgets. Each machine produces 4 widgets per hour. If the factory operates for 8 hours a day, how many widgets does the factory produce in 5 working days?"} {"instruction": "A chat. In a small town, there are 20 houses on one side of the street and 30 houses on the other side. Every house has at least one pet. The total number of pets in all the houses is 75. There are more dogs than cats in the town. How many cats are there in the town?"} {"instruction": "A chat. A box contains red balls and blue balls. The probability of picking a red ball from the box is 1/3. If I add 6 more red balls to the box, the probability of picking a red ball becomes 1/2. How many blue balls are in the box?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed. Halfway through the journey, it stops for 15 minutes due to a technical issue. If the entire trip takes 2 hours and 45 minutes, how long would the trip have taken without the stop?"} {"instruction": "A chat. A rectangular garden has a length that is 3 meters more than twice its width. If the area of the garden is 70 square meters, what are the dimensions of the garden?"} {"instruction": "A chat. Prove that the Fourier series representation of an odd function contains only sine terms. Explain your reasoning.\n"} {"instruction": "A chat. In a box of chocolates, there are 5 milk chocolates, 7 dark chocolates, and 8 white chocolates. If you randomly pick one chocolate from the box without looking, what is the probability of picking a milk chocolate or a dark chocolate?"} {"instruction": "A chat. If a factory produces 500 units of product A per day and each unit sells for $20, how much additional revenue would the factory generate if they increased production by 10%?"} {"instruction": "A chat. There are 50 people in a room. 30% of them wear glasses, and 40% of those who wear glasses also wear a hat. How many people wear both glasses and a hat?"} {"instruction": "A chat. A store sells apples in bags of 6. If John buys 3 bags, how many apples does he have? Show your steps."} {"instruction": "A chat. If a person saves $100 every month and gets an annual interest rate of 5%, how much money will they have saved after 3 years?"} {"instruction": "A chat. A box contains 10 red balls and 20 blue balls. If you randomly pick one ball from the box, replace it, and then pick another ball, what is the probability that both balls are red?"} {"instruction": "A chat. A shipping company wants to optimize its container loading process at a major port. The current process takes an average of 45 minutes to load a single container onto a ship, with a total of 200 containers loaded daily. The company plans to invest in new equipment that will reduce the loading time to 30 minutes per container. Determine the potential time savings per day and calculate the return on investment based on labor costs, assuming the new equipment costs $10 million and the average hourly wage for dockworkers is $25.\n"} {"instruction": "A chat. A farmer has 20 cows and 10 goats. All but 7 cows are sold. How many animals does the farmer have left?"} {"instruction": "A chat. A large supermarket chain wants to optimize its inventory management system by analyzing the sales patterns of various products. They have identified 10 product categories, each with different shelf lives, price points, and customer preferences. Describe a method for collecting and analyzing sales data, taking into account seasonal variations, promotional campaigns, and supplier lead times, to determine the optimal stock levels for each category and minimize waste.\n"} {"instruction": "A chat. A farmer has 10 animals on his farm: cows, pigs, and chickens. He knows that he has more cows than pigs and more pigs than chickens. The farmer also knows that the total number of legs on his farm is 36. How many cows, pigs, and chickens does the farmer have?"} {"instruction": "A chat. A television network wants to produce a new reality show with a budget of $5 million per season. Each episode will require one week of filming at a different exotic location, with travel expenses for the cast and crew totaling $50,000 per episode. Production costs, including equipment rentals, catering, and accommodations, are estimated at $150,000 per episode. Calculate the total cost of producing a 12-episode season and determine how much money can be allocated towards hiring talent and marketing the show."} {"instruction": "A chat. A store sells two types of candies. The first type costs $0.25 each and the second type costs $0.50 each. If someone buys a total of 20 candies and spends exactly $7.50, how many of each type of candy did they buy?"} {"instruction": "A chat. A company produces two types of products, A and B. The profit per unit of product A is $5, while the profit per unit of product B is $8. If the company aims to make a total profit of at least $1000 in a week, how many units of each product must they sell?"} {"instruction": "A chat. In a room, there are 5 red balls, 4 blue balls, and 3 green balls. If you randomly pick two balls without replacement, what is the probability that both balls will be red?"} {"instruction": "A chat. There are 5 red balls and 7 blue balls in a bag. You randomly pick two balls from the bag without replacement. What is the probability that you picked one ball of each color?"} {"instruction": "A chat. A store sells two types of products - Product A and Product B. The profit margin for Product A is 25% while that for Product B is 35%. If the store sells 120 units of Product A at $10 each and 80 units of Product B at $15 each, what is the total profit made from selling both products?"} {"instruction": "A chat. An office building uses 20,000 kWh of electricity per month. If the cost of electricity is $0.12 per kWh, what is the annual cost of electricity for the office building?"} {"instruction": "A chat. A library has 5 floors. Each floor has 8 sections. Each section contains 30 shelves. Each shelf holds 25 books. How many books are there in the entire library? Explain your reasoning."} {"instruction": "A chat. A farmer has a rectangular field with a length of 60 meters and a width of 40 meters. He wants to divide the field into equal square plots. What is the largest possible size for each square plot?"} {"instruction": "A chat. A shipping company wants to optimize its delivery routes to reduce fuel consumption and overall transportation costs. They currently have 100 trucks, with an average daily route of 200 miles per truck. Each truck consumes 6 miles per gallon of diesel fuel, which costs $3 per gallon. The company is considering investing in new routing software that claims to reduce total mileage by 15%. Calculate the potential annual savings from reduced fuel consumption and determine how long it would take for the investment in the software to pay off if it costs $500,000.\n"} {"instruction": "A chat. If you drive at a constant speed of 55 miles per hour for 4.5 hours, how far will you travel?"} {"instruction": "A chat. If a person invests $10,000 at an annual interest rate of 6% compounded quarterly, how much will their investment be worth after 5 years?"} {"instruction": "A chat. A train travels at an average speed of 60 mph for the first half of its journey and then increases its speed to 80 mph for the second half. What is the train's average speed for the entire journey?"} {"instruction": "A chat. There are 100 light bulbs lined up in a row, all turned off. Every minute, someone flips the switch on every second bulb. Then they flip the switch on every third bulb, then every fourth bulb, and so on, until they have flipped the switch on every 100th bulb. After this process is complete, how many light bulbs are left on?"} {"instruction": "A chat. A television network is launching a new reality show with 16 contestants. Each week, one contestant will be eliminated until only one remains as the winner. The show's prize money increases incrementally based on the number of weeks a contestant stays in the competition. In the first week, the prize money is $10,000, and it doubles every subsequent week. Calculate the total prize money awarded throughout the entire season, including the grand prize for the winner.\n"} {"instruction": "A chat. A city is analyzing its public transportation system to improve efficiency and reduce wait times for passengers. The city currently operates 100 buses on 20 different routes, with an average capacity of 50 passengers per bus. They want to optimize the number of buses assigned to each route based on passenger demand, which varies throughout the day. Analyze the given data on daily ridership patterns and provide step-by-step reasoning to determine the most efficient allocation of buses across the various routes during peak and off-peak hours.\n"} {"instruction": "A chat. A train travels from Station A to Station B at a constant speed. The distance between the two stations is 180 miles. If the train takes 3 hours to complete the journey, what would be its average speed during the trip?"} {"instruction": "A chat. A cruise ship company is planning a new itinerary for its fleet, with stops at various ports around the world. The company wants to maximize revenue by offering different types of excursions at each port, catering to passengers' interests and preferences. Calculate the optimal number of excursion options per port, considering factors such as passenger capacity, average spending per passenger, and available resources at each destination. Also, determine the potential impact on overall customer satisfaction and repeat bookings.\n"} {"instruction": "A chat. A company produces 500 units of a product every week. Each unit costs $20 to produce and is sold for $35. What is the weekly profit made by the company?"} {"instruction": "A chat. A train travels at a constant speed of 60 km/h and takes 30 minutes to reach its destination. If it had traveled at a constant speed of 80 km/h instead, how long would it have taken to reach the same destination?"} {"instruction": "A chat. A train leaves Town A heading towards Town B at 60 mph. At the same time, another train leaves Town B heading towards Town A at 80 mph. The distance between the two towns is 420 miles. When they meet, which train will be closer to Town A?"} {"instruction": "A chat. You have a deck of 52 cards. What is the probability of drawing a queen from the deck?"} {"instruction": "A chat. If a company spends $5,000 on advertising and generates an additional revenue of $50,000 from this advertising campaign, what is the return on investment (ROI) percentage?"} {"instruction": "A chat. Five friends are standing in a line. Alice is standing next to Bob, but not next to Carol. Dave is standing next to Carol, but not next to Eve. How many different ways can the friends be arranged in the line while satisfying these conditions?"} {"instruction": "A chat. In a class of 30 students, 18 are girls and 12 are boys. If a teacher randomly selects two students to work on a project together, what is the probability that both students will be girls?"} {"instruction": "A chat. If a factory produces 200 widgets per hour and operates 16 hours a day, how many widgets will it produce in one month, assuming a 30-day month?"} {"instruction": "A chat. A train travels at an average speed of 90 km/h for 4 hours. How far does it travel in meters?"} {"instruction": "A chat. An apple tree produces 200 apples in a year. How many apples does it produce in a decade?"} {"instruction": "A chat. There are 50 apples in a basket. You take out 5 apples and then put back 3 rotten apples. How many good apples are left in the basket?"} {"instruction": "A chat. A train leaves Town A and heads towards Town B at a speed of 60 mph. At the same time, another train leaves Town B and heads towards Town A at a speed of 90 mph. If the distance between the towns is 300 miles, how long will it take for the trains to meet?"} {"instruction": "A chat. If a person has a monthly salary of $4000 and saves 20% of it every month, how much money will they have saved after one year?"} {"instruction": "A chat. In a school, there are 120 students in Grade 9 and 150 students in Grade 10. If the school wants to create an equal number of students in each class, what is the maximum number of students that can be in one class?"} {"instruction": "A chat. In a box, there are 9 red balls, 6 blue balls, and 5 green balls. What fraction of the balls are red? Show your work."} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the two towns is 120 kilometers. If the train takes 1 hour and 20 minutes to complete the journey, what is its average speed?"} {"instruction": "A chat. If a car rental company has 12 cars available for rent and wants to offer customers the option of choosing any combination of cars, how many different combinations can be made?"} {"instruction": "A chat. Calculate the curl and divergence of a vector field F(x, y, z)."} {"instruction": "A chat. A group of people consists of 10 men and 15 women. If two people are chosen at random from the group, what is the probability that they are both women?"} {"instruction": "A chat. A construction company has been contracted to build a large residential complex with 300 apartments. Each apartment will have either one, two, or three bedrooms. The developer wants to allocate 40% of the apartments to one-bedroom units, 35% to two-bedroom units, and 25% to three-bedroom units. Calculate the number of apartments for each type and estimate the total cost of constructing the entire complex, given that the average construction cost per square foot is $150, and the average sizes of one-, two-, and three-bedroom apartments are 700, 900, and 1,200 square feet, respectively.\n"} {"instruction": "A chat. If a circular swimming pool has a diameter of 20 meters, what is the approximate volume of water it can hold if filled to a depth of 2 meters? (Use \u03c0 \u2248 3.14)"} {"instruction": "A chat. In a class of 30 students, 12 are girls and 18 are boys. If 5 students are selected at random without replacement, what is the probability that exactly 3 of them are girls?"} {"instruction": "A chat. If a clock strikes once at 1 o'clock, twice at 2 o'clock, thrice at 3 o'clock, and so on, how many times will it strike in total over a 12-hour period? Provide step-by-step logic."} {"instruction": "A chat. A rectangular garden has a length of 12 meters and a width of 8 meters. If you want to increase the area of the garden by 50%, what should be the new dimensions of the garden while maintaining its rectangular shape?"} {"instruction": "A chat. A national park plans to reintroduce a population of endangered animals over the next five years. The initial release will include 100 individuals, with additional releases planned annually. To ensure the long-term success of the program, the park must monitor the growth rate, reproduction, and survival rates of the species. Develop a monitoring plan that takes into consideration factors such as habitat availability, food resources, and potential threats from predators or human activities. Explain your reasoning.\n"} {"instruction": "A chat. A factory produces 500 units of product A in 8 hours. If each unit of product A requires 4 units of raw material B, how many units of raw material B are needed to produce 750 units of product A?"} {"instruction": "A chat. A square has a side length of 10 inches. What is the area of a circle inscribed in the square?"} {"instruction": "A chat. How many factors does the number 60 have?"} {"instruction": "A chat. If a factory produces 450 items per hour and operates for 16 hours a day, how many items will it produce in one week?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 km/h and returns at a speed of 40 km/h. What is the average speed for the whole journey?"} {"instruction": "A chat. Find the Maclaurin series for sin(x)."} {"instruction": "A chat. How many positive integers less than 1000 have exactly five divisors?"} {"instruction": "A chat. If a company has 200 employees and plans to hire 20% more over the next year, how many employees will they have after one year?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. It takes 5 hours to travel from Town A to Town B. If it traveled at a speed of 80 miles per hour instead, how long would it take to travel between the two towns?"} {"instruction": "A chat. Solve the expression (6^2 - 4) / 2 + 3 * (8 - 5)."} {"instruction": "A chat. A rectangular garden has a length of 30 meters and a width of 20 meters. If the owner wants to build a fence around the entire garden with an additional 2-meter buffer zone on all sides, what will be the total area enclosed by the fence?"} {"instruction": "A chat. A company produces 5 defective items for every 95 non-defective items. If they produce a total of 10,000 items, how many are expected to be defective?"} {"instruction": "A chat. A factory produces 200 units of a product in 8 hours. If the factory increases its production rate by 25%, how many units will it produce in 10 hours?"} {"instruction": "A chat. How many breaths does an average adult human take in one day if they breathe approximately 12 times per minute?"} {"instruction": "A chat. In a certain language, if \"pik\" means \"dog,\" \"tik\" means \"cat,\" and \"rik\" means \"pet,\" what does \"piktik\" mean?"} {"instruction": "A chat. In a classroom, there are 4 times as many girls as boys. If there are 30 students in total, how many girls and boys are there in the class?"} {"instruction": "A chat. In a small town, there are 4 barbers. Each barber cuts the hair of every other barber in town except for themselves. How many total haircuts do the barbers give to each other?"} {"instruction": "A chat. A car park has 6 floors. Each floor has 15 parking spaces. How many cars can the car park hold when full? Explain your working."} {"instruction": "A chat. Using the central limit theorem, determine the probability that the mean of a sample of 50 people's ages will be between 25 and 30 years old, given that the population mean is 28 and the standard deviation is 5. Explain your reasoning.\n"} {"instruction": "A chat. A rectangular room has a length of 12 meters and a width of 8 meters. If you want to install carpet tiles that are each 0.5 meters by 0.5 meters in size, how many tiles do you need to cover the entire floor?"} {"instruction": "A chat. A store offers a discount on bulk purchases. If you buy 10 items or more, you get a 15% discount. If an item costs $25 and someone buys 12 items, how much do they pay?"} {"instruction": "A chat. A factory produces 1200 widgets per day. Each widget undergoes two quality control checks, with a failure rate of 2% for the first check and 3% for the second check. How many widgets pass both quality control checks each day?"} {"instruction": "A chat. A restaurant has 12 tables, each with 4 chairs. If the restaurant wants to increase its seating capacity by 50%, how many additional chairs would they need?"} {"instruction": "A chat. You have a bag with 5 red balls and 3 green balls. What is the probability of drawing a red ball, replacing it, then drawing another red ball? Show your calculation."} {"instruction": "A chat. Calculate the square root of 256."} {"instruction": "A chat. A bag contains 5 green marbles, 4 yellow marbles, and 6 blue marbles. If you draw 3 marbles at random without replacement, what is the probability that you will get exactly one marble of each color?"} {"instruction": "A chat. A factory produces two types of products, A and B. The production ratio is 3 units of product A for every 2 units of product B. If the factory produces a total of 500 units per day, how many units of each product are produced daily?"} {"instruction": "A chat. In a group of people, 60% have brown eyes, 40% have blue eyes, and 10% have green eyes. If you randomly select one person from the group, what is the probability that they have either brown or green eyes?"} {"instruction": "A chat. A farmer has 20 cows and 10 chickens. All but 8 cows die. How many animals does the farmer have left?"} {"instruction": "A chat. In a city with a population of 500,000 people, 65% own cars. Out of those who own cars, 40% use them to commute to work. How many people in the city use cars to commute to work?"} {"instruction": "A chat. How many miles does light travel in one hour?"} {"instruction": "A chat. If there are approximately 7.9 billion people on Earth and each person takes an average of 5 breaths per minute, how many total breaths do all humans take in one day?"} {"instruction": "A chat. If I have a bag containing 3 red balls, 4 blue balls, and 5 green balls, what is the probability of drawing a red ball followed by a blue ball without replacement?"} {"instruction": "A chat. A factory produces 200 widgets per hour during its regular shift and 150 widgets per hour during its overtime shift. If the factory operates for 8 hours on a regular shift and 4 hours on an overtime shift, how many widgets does it produce in one day?"} {"instruction": "A chat. A chocolate factory needs to produce 10,000 boxes of chocolates for an upcoming holiday season. Each box contains 25 pieces of chocolate, and there are three types of chocolates: milk (40%), dark (35%), and white (25%). Calculate the total number of each type of chocolate required and determine the amount of raw materials needed, considering that it takes 0.5 ounces of cocoa beans to make one piece of milk chocolate, 0.7 ounces for dark chocolate, and 0.4 ounces for white chocolate. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A factory produces 250 units of product A per day and 400 units of product B per day. How many units of both products does the factory produce in a week, assuming it operates 7 days a week?"} {"instruction": "A chat. If the world population is approximately 7.9 billion people and roughly 60% of them have access to the internet, how many people don't have access to the internet? Explain your thought process."} {"instruction": "A chat. Given matrix A = [[1, 2], [3, 4]], calculate the determinant of A."} {"instruction": "A chat. In a town, 60% of the people are adults, and 40% are children. If there are 1200 adults in the town, how many children are there?"} {"instruction": "A chat. There are 5 red balls and 3 blue balls in a bag. If you randomly pick two balls from the bag, what is the probability that both balls will be red?"} {"instruction": "A chat. During a race, you overtake the person in second place. What position are you in now? Explain your thought process."} {"instruction": "A chat. Solve the following algebraic equation: 3x - 7 = 11. Provide a step-by-step explanation.\n"} {"instruction": "A chat. A cylindrical water tank has a diameter of 10 feet and a height of 15 feet. What is the maximum volume of water it can hold in gallons? (1 cubic foot = 7.48 gallons)"} {"instruction": "A chat. The average person breathes in about 11,000 liters of air per day. How many liters of air does a person breathe in every hour?"} {"instruction": "A chat. A store sells shirts for $25 each and pants for $40 each. If a customer buys 3 shirts and 2 pairs of pants, how much change will they receive if they pay with a $200 bill?"} {"instruction": "A chat. A baker uses 2 eggs to make 12 cupcakes. How many eggs does he need to make 100 cupcakes? Explain step-by-step."} {"instruction": "A chat. A train leaves Station A at 9 am traveling at 60 mph towards Station B. Another train leaves Station B at 11 am traveling at 80 mph towards Station A. If the distance between the two stations is 480 miles, when will the trains meet?"} {"instruction": "A chat. A factory produces two types of products: Product A and Product B. In one hour, the factory can produce 40 units of Product A and 60 units of Product B. If the factory operates for 10 hours per day, how many total units of both products are produced in 5 days?"} {"instruction": "A chat. Evaluate the expression (5^2 * 3) / (6 - 2 * 1) + 10."} {"instruction": "A chat. A city's public transportation system is planning to upgrade its fleet of buses to electric models. The current fleet consists of 200 diesel buses, each with an average fuel efficiency of 4 miles per gallon. The new electric buses have an estimated range of 150 miles per charge and require 3 hours for a full recharge. Calculate the total energy consumption and cost savings associated with switching to electric buses, considering factors such as electricity rates, charging infrastructure, and maintenance costs. Provide a detailed explanation.\n"} {"instruction": "A chat. A jar contains 5 red marbles, 3 blue marbles, and 7 green marbles. If you draw two marbles without replacement, what is the probability that both are green?"} {"instruction": "A chat. If you walk at a speed of 3 miles per hour for 2 hours and 30 minutes, how far will you have traveled?"} {"instruction": "A chat. A bee visits 100 flowers in a day. It spends 5 minutes at each flower before moving to the next one. How many hours does the bee spend visiting flowers in a week? Show your work."} {"instruction": "A chat. A cruise ship company wants to optimize its itinerary by offering various trip durations and destinations. They have three different ships: Ship A can accommodate 2,000 passengers, Ship B can accommodate 3,500 passengers, and Ship C can accommodate 5,000 passengers. Each ship operates on a fixed weekly schedule, with Ship A offering 3-day trips, Ship B offering 5-day trips, and Ship C offering 7-day trips. Determine the total number of passengers the company can serve per week and calculate the revenue generated if the average ticket price is $150 per day per passenger.\n"} {"instruction": "A chat. A store has 8 red shirts, 12 blue shirts, and 15 green shirts on display. If a customer wants to buy one shirt of each color, what is the probability that the first three shirts they pick are one of each color?"} {"instruction": "A chat. A fruit vendor sells apples and oranges. He has a total of 80 fruits, and the ratio of apples to oranges is 7:1. How many oranges does he have?"} {"instruction": "A chat. If a restaurant serves 50 meals in an hour, how many meals will it serve in a week assuming it operates for 8 hours each day? Explain your reasoning."} {"instruction": "A chat. Four friends are comparing their ages. Alice is older than Bob but younger than Carol. Dave is older than Alice but younger than Bob. Who is the oldest and who is the youngest?"} {"instruction": "A chat. If a store has 10,000 items and 3% of the items are defective, how many non-defective items must be sold to reduce the percentage of defective items to 2%?"} {"instruction": "A chat. A factory produces 1000 widgets per day. On Monday, 5% of the widgets produced were defective. On Tuesday, the number of defective widgets increased by 50%. How many defective widgets were produced on Tuesday?"} {"instruction": "A chat. A company produces two types of products, A and B. Product A requires 5 units of raw material and product B requires 8 units of raw material. The company has 2000 units of raw material available. How many units of each product can they produce if they want to maximize their production while using all the available raw materials?"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B every week. Product A requires 2 hours of labor per unit, while product B requires 3 hours of labor per unit. If workers at the factory work 8 hours a day, 5 days a week, how many workers are needed to produce these products?"} {"instruction": "A chat. In a class of 40 students, 25% are left-handed. How many left-handed students are there in the class?"} {"instruction": "A chat. In a group of 50 people, 20 have brown eyes and 30 have blue eyes. If you randomly select three people from the group, what is the probability that at least one person has brown eyes?"} {"instruction": "A chat. A store sells two types of pens: pen A costs $1.50 each, and pen B costs $2.00 each. If a customer buys a total of 20 pens and spends exactly $35, how many of each type of pen did they buy?"} {"instruction": "A chat. A group of people is planning a trip that will take 6 days. They need to rent cars for transportation, and each car can hold up to 4 passengers. If there are 27 people in the group, how many cars do they need to rent, and what will be the total cost if each car costs $30 per day?"} {"instruction": "A chat. A snail starts climbing a 10-meter wall at noon. Every day, it climbs 3 meters during daylight hours and slides down 2 meters during nighttime. When will the snail reach the top of the wall?"} {"instruction": "A chat. If a person drinks an average of 8 cups of water per day, how many gallons of water do they drink in a year? (Assume there are 365 days in a year and 16 cups in a gallon.)"} {"instruction": "A chat. A factory produces 1000 widgets every hour. How many widgets does it produce in a week? Show your work."} {"instruction": "A chat. If you read 20 pages of a book every day, how many books can you finish in a year if each book has an average of 400 pages?"} {"instruction": "A chat. Mary has 15 cookies and gives 3 to John. Sally then asks Mary for an apple. How many grapes does Mary have left?"} {"instruction": "A chat. Find the general solution to the partial differential equation u_xx - u_yy = 0."} {"instruction": "A chat. A group of people wants to rent bicycles for a day trip. The rental shop charges $15 per bicycle for the first 3 hours and an additional $5 per hour after that. If the group rents 8 bicycles for 6 hours, how much will they pay in total?"} {"instruction": "A chat. Prove that if a sequence {a_n} converges to L, then the sequence {|a_n|} also converges to |L|. Explain your proof.\n"} {"instruction": "A chat. If a standard deck of 52 cards is shuffled and you draw one card, what are the odds that it's an ace or a king? Show your reasoning."} {"instruction": "A chat. A factory produces 2000 widgets per day at a cost of $5 per widget. The factory sells these widgets for $8 each. If the factory operates for 25 days in a month, what is its monthly profit?"} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" All labels are incorrect. You can only take out one fruit from one box without looking inside. How do you determine which box contains which fruit with just one draw?"} {"instruction": "A chat. A hotel chain wants to optimize its room pricing strategy to maximize revenue. The chain currently operates 500 hotels, each with an average of 100 rooms. On average, the occupancy rate is 75%, and the average room rate is $150 per night. The company wants to increase its revenue by 10% without adding new properties or significantly increasing marketing efforts. Calculate the target occupancy rate and room rate needed to achieve this goal, and discuss potential strategies for implementing these changes.\n"} {"instruction": "A chat. A bag contains 5 red balls, 3 blue balls, and 2 green balls. If you randomly pick one ball from the bag without looking, what is the probability of picking a red ball?"} {"instruction": "A chat. There are three light switches outside a room. One of them controls the light inside the room. You can only enter the room once to check which switch controls the light. How can you determine which switch controls the light without any additional tools or assistance?"} {"instruction": "A chat. Solve the expression (4^2 - 3) / (2 + 1)^2."} {"instruction": "A chat. In a class, there are 12 boys and 8 girls. If we randomly select two students, what is the probability that both are girls?"} {"instruction": "A chat. A factory produces two types of products, A and B. Product A requires 2 hours of labor per unit, while product B requires 3 hours of labor per unit. The factory has a maximum capacity of 1200 labor hours per week. If each unit of product A generates $10 profit and each unit of product B generates $15 profit, how many units of each product should be produced to maximize profit?"} {"instruction": "A chat. A man has 53 socks in his drawer: 21 identical blue ones, 15 identical black ones, and 17 identical red ones. The room is dark, and he cannot see which socks he's grabbing. What is the minimum number of socks he needs to grab to ensure that he gets a matching pair?"} {"instruction": "A chat. A box contains red balls and blue balls. There are twice as many red balls as blue balls. If you take out 6 red balls and add 4 blue balls to the box, what is the ratio of red balls to blue balls now?"} {"instruction": "A chat. A factory produces 1000 widgets per day. Each widget has a 5% chance of being defective. The factory tests each widget and discards any that are found to be defective. On average, how many non-defective widgets does the factory produce daily?"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour. It takes 4 hours to travel from Town A to Town B. If the train had traveled at an average speed of 80 miles per hour instead, how long would it have taken to travel between the two towns?"} {"instruction": "A chat. Calculate the Fourier series expansion for the function f(x) = x^2 on the interval [-pi, pi]."} {"instruction": "A chat. A group of friends wants to split the cost of a $120 gift equally among themselves. If three more friends join the group, each person would pay $4 less. How many friends were originally in the group?"} {"instruction": "A chat. A restaurant has 15 tables and each table can seat 4 people. How many people can the restaurant accommodate if half of the tables are occupied?"} {"instruction": "A chat. You have a basket containing 6 apples and 8 oranges. If you randomly pick one fruit from the basket without looking, what is the probability that it will be an apple? After picking the first fruit, if you pick another fruit without replacing the first one, what is the probability that both fruits picked are apples?"} {"instruction": "A chat. A car rental company charges a flat fee of $20 per day plus an additional $0.25 per mile driven. If a customer rents a car and drives it for 100 miles, how much will they be charged?"} {"instruction": "A chat. A box contains 3 red balls and 2 green balls. You draw two balls at random without replacement. What is the probability that you draw one ball of each color?"} {"instruction": "A chat. A city's public transportation system consists of buses and trains. The city wants to optimize its fleet by purchasing new vehicles. Buses cost $500,000 each, have a capacity of 50 passengers, and can travel at an average speed of 30 mph. Trains cost $2 million per car, have a capacity of 200 passengers per car, and can travel at an average speed of 60 mph. The city has a budget of $50 million for new vehicle purchases. Determine the optimal combination of buses and train cars to maximize passenger capacity and overall efficiency within the budget constraints. Describe your reasoning.\n"} {"instruction": "A chat. What is the sum of the first 10 terms of the arithmetic sequence with the first term as 3 and a common difference of 4?"} {"instruction": "A chat. If a car is traveling at a constant speed of 50 miles per hour, how far will it travel in 3.5 hours?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed of 60 miles per hour. Halfway through the journey, it stops for 10 minutes before continuing to City B. What is the total travel time if the distance between City A and City B is 120 miles?"} {"instruction": "A chat. A hospital wants to improve its emergency response time by investing in a fleet of ambulances. The hospital serves a population of 500,000 people spread across a 200 square mile area. On average, there are 10 emergency calls per day, with a desired response time of 15 minutes or less. Determine the optimal number of ambulances needed, taking into account factors such as distance, traffic conditions, and maintenance schedules. Explain your reasoning and calculations.\n"} {"instruction": "A chat. There are 12 socks in a drawer: 6 black, 4 blue, and 2 red. If you reach into the drawer without looking and pull out socks one at a time, what is the minimum number of socks you need to pull out to guarantee that you have a matching pair?"} {"instruction": "A chat. There are two boxes filled with red and blue balls. Box A contains 5 red balls and 7 blue balls, while box B contains 3 red balls and 9 blue balls. If you randomly pick one ball from each box, what is the probability that both balls will be of the same color?"} {"instruction": "A chat. A farmer has 17 sheep, and all but 9 die. How many are left? Include your logic."} {"instruction": "A chat. A group of people is planning a trip that will require them to travel 450 miles. They have two options for transportation: renting a van or taking a bus. The van rental costs $200 plus $0.20 per mile, while the bus ticket costs $50 per person. If they choose the van, how many people must be in the group for the cost per person to be less than the bus ticket?"} {"instruction": "A chat. If you have a standard deck of 52 playing cards, how many different 5-card poker hands can be dealt?"} {"instruction": "A chat. Use Green's theorem to evaluate the line integral \u222e(P dx + Q dy), where P = xy and Q = x^2, around the unit circle."} {"instruction": "A chat. John has twice as many marbles as Tom. If Tom has 15 marbles, how many marbles does John have? Show your work."} {"instruction": "A chat. If a bee visits 20 flowers in a minute, how many flowers would it visit in a week assuming it works 8 hours a day? Reason step-by-step."} {"instruction": "A chat. If I read 20 pages of a book every day, how many pages will I have read after 2 weeks? Explain your thought process."} {"instruction": "A chat. If you invest $1000 in a savings account that earns 3% annual interest compounded yearly, how much money will be in the account after five years? Provide step-by-step calculations.\n"} {"instruction": "A chat. If a company produces 5000 units of a product every day and sells each unit for $25, how much revenue will they generate in a year if there are no holidays or weekends?"} {"instruction": "A chat. Solve: (8 * 2) / (4 - 1)^2"} {"instruction": "A chat. A company has 200 employees, with an average salary of $3,500 per month. The company also spends an additional 10% of its total payroll on employee benefits. What is the company's total monthly expenditure on salaries and benefits?"} {"instruction": "A chat. In a family of 6 people, each person has one sibling. How many pairs of siblings are there in the family?"} {"instruction": "A chat. A national park is implementing a new visitor management system to control overcrowding and minimize environmental impacts. The park currently receives 1 million visitors per year, with an average stay of three days. Park officials want to reduce the daily visitor count by 10% while maintaining the same annual visitation numbers. Calculate the required changes in visitor distribution throughout the year and suggest strategies for achieving these targets, such as adjusting entrance fees or promoting off-peak travel periods.\n"} {"instruction": "A chat. A store sells two types of widgets: Type A and Type B. The profit for each Type A widget is $3, and the profit for each Type B widget is $4. If the store sells a total of 200 widgets and makes a total profit of $700, how many of each type of widget were sold?"} {"instruction": "A chat. A factory produces 200 units of a product every day. Each unit has a 3% chance of being defective. On average, how many defective units are produced each day?"} {"instruction": "A chat. If you have a sequence of numbers where each term is the sum of the three previous terms, and you know that the first three terms are 1, 2, and 4, what is the tenth term in the sequence?"} {"instruction": "A chat. A cruise line is planning to build a new ship with a capacity of 3,000 passengers. The ship will have 1,500 staterooms, each costing $100,000 to construct. Additionally, the ship will feature various amenities such as restaurants, pools, and entertainment venues, with an estimated construction cost of $200 million. Calculate the total cost of building the ship and estimate the revenue potential based on average ticket prices and occupancy rates.\n"} {"instruction": "A chat. If a bee flies 15 miles per hour, how far can it fly in 10 minutes? Reason step-by-step."} {"instruction": "A chat. A restaurant wants to create a new menu that includes three types of dishes: appetizers, main courses, and desserts. They plan to offer six appetizers, eight main courses, and four desserts. Calculate the total number of possible meal combinations a customer could choose from, considering one item from each category. Explain your reasoning."} {"instruction": "A chat. A store sells apples for $2 per pound and oranges for $3 per pound. If you buy 4 pounds of apples and 5 pounds of oranges, what is the total cost?"} {"instruction": "A chat. A national park wants to improve visitor experience by reducing wait times at popular attractions. The park currently has 15 attractions, with an average wait time of 45 minutes per attraction. Park management aims to reduce the average wait time to 30 minutes by increasing the number of visitors allowed at each attraction simultaneously. Calculate the percentage increase in visitor capacity required for each attraction, and estimate the potential impact on overall park attendance.\n"} {"instruction": "A chat. A cylindrical water tank has a diameter of 6 feet and a height of 10 feet. What is its volume in gallons? (1 cubic foot = 7.48 gallons)"} {"instruction": "A chat. A train travels from Town A to Town B in 3 hours. The distance between the two towns is 180 miles. What is the average speed of the train in miles per hour?"} {"instruction": "A chat. In a room, there are 7 cats. Each cat has 6 legs instead of the usual 4 legs. How many regular four-legged cats need to be added to the room to make the average number of legs per cat equal to 5?"} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. The mayor decides to paint the numbers on all the houses using only red and blue colors. He paints house number 1 with red color. If he wants to ensure that every two consecutive house numbers have different colors, how many ways can he paint the remaining houses?"} {"instruction": "A chat. A bicycle wheel has a diameter of 70 centimeters. How many times will the wheel rotate if the bicycle travels a distance of 1 kilometer?"} {"instruction": "A chat. A factory produces 500 units of a product in 8 hours. If the factory operates for 16 hours, how many units will it produce?"} {"instruction": "A chat. A factory produces 200 units per day at a cost of $10 per unit. If the factory operates 25 days per month, what is the total monthly production cost?"} {"instruction": "A chat. In a group of 30 people, 18 have a dog, 12 have a cat, and 7 have both a dog and a cat. How many people in the group have neither a dog nor a cat?"} {"instruction": "A chat. A store sells two types of candies: type A costs $3 per pound and type B costs $4 per pound. If you buy a total of 10 pounds of candy with a combined cost of $34, how many pounds of each type did you purchase?"} {"instruction": "A chat. A hotel chain plans to open a new location with 200 rooms. Each room has an area of 300 square feet, and the hotel also includes common areas such as a lobby, restaurant, conference rooms, and hallways, which occupy 40% of the total building area. Calculate the total area of the hotel and determine the approximate dimensions of the building, assuming it has a square floor plan and four floors. Explain your calculations.\n"} {"instruction": "A chat. In a room, there are 4 people who speak English, 3 people who speak French, and 2 people who speak both English and French. If one person is randomly selected from the room, what is the probability that they speak only English?"} {"instruction": "A chat. A group of people decide to split the cost of a vacation rental evenly among themselves. If each person contributes $200 and there is still $300 left to pay, how many people are in the group?"} {"instruction": "A chat. Solve for x: 3x - 7 = 11"} {"instruction": "A chat. A hospital wants to optimize its emergency room (ER) operations to reduce patient waiting times. On average, the ER receives 300 patients per day, with a peak influx of 60 patients per hour during busy periods. Each patient requires an average of 30 minutes for treatment, and there are currently 20 available treatment rooms. Determine how many additional treatment rooms should be added to maintain a maximum waiting time of 15 minutes per patient during peak hours. Also, consider the staffing requirements for these additional rooms, assuming one doctor and two nurses per room.\n"} {"instruction": "A chat. In a village, there are 50 houses. Each house has a dog living in it. If every dog barks at exactly two other dogs and no two dogs bark at each other, how many total barking pairs are there?"} {"instruction": "A chat. A city is planning to construct a new sports stadium to host major events and attract tourists. The proposed stadium will have a seating capacity of 60,000 spectators and is expected to generate annual revenues of $20 million from ticket sales, concessions, and other sources. However, the construction cost is estimated at $600 million, and ongoing maintenance and operational expenses are projected at $5 million per year. Determine the number of years required for the stadium to break even on its initial investment, considering both construction costs and annual expenses.\n"} {"instruction": "A chat. A multinational corporation is planning to build a new research and development center. The center will employ 1,000 engineers, with an average salary of $80,000 per year. In addition to salaries, the company needs to budget for employee benefits, which amount to 30% of each employee's salary. Calculate the total annual cost of employing the engineers at the new center, including both salaries and benefits. Explain your calculations.\n"} {"instruction": "A chat. A teacher has 10 students, and she wants to choose a committee of 3 students. However, two of the students, Alex and Bella, cannot be on the committee together due to their constant arguing. How many different committees can the teacher form?"} {"instruction": "A chat. A store offers a 20% discount on all items during a sale. If an item originally costs $75, how much will the customer save after applying the discount?"} {"instruction": "A chat. A factory produces 500 units of a product per day. Due to increasing demand, they decide to increase production by 10% each week. How many units will they produce on the seventh day?"} {"instruction": "A chat. Prove that there is no largest prime number among all prime numbers."} {"instruction": "A chat. In a group of people, 40% are vegetarians and 60% are non-vegetarians. Among the vegetarians, 25% also practice yoga, while among the non-vegetarians, 10% practice yoga. What percentage of the entire group practices yoga? Provide step-by-step logic."} {"instruction": "A chat. A train travels from City A to City B at a speed of 100 km/h. It then returns to City A at a speed of 150 km/h. What is the average speed of the train for the entire trip?"} {"instruction": "A chat. Calculate the compound interest earned on a $1,000 investment at an annual interest rate of 5% compounded quarterly for 3 years. Explain your calculations.\n"} {"instruction": "A chat. Calculate the number of ways to distribute 10 identical balls into 4 distinct boxes."} {"instruction": "A chat. If a person saves 5% of their monthly income every month for a year, how much will they have saved by the end of the year if their monthly income is $3,000?"} {"instruction": "A chat. If a car travels at an average speed of 60 mph for 3 hours and then at an average speed of 40 mph for another 2 hours, what is the total distance traveled?"} {"instruction": "A chat. A turtle walks at a speed of 0.5 mph. How long will it take the turtle to travel a distance of 2 miles? Explain your thought process."} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. The mayor decides to give every house with an even number a red flag and every house with an odd number a blue flag. However, if the house number is divisible by 3, they get a green flag instead. How many red flags will be given out?"} {"instruction": "A chat. A train travels at an average speed of 80 km/h for 4 hours and then slows down to an average speed of 60 km/h for another 3 hours. How far does the train travel in total?"} {"instruction": "A chat. A store has 2000 books in stock, with an average cost of $12 per book. They sell these books at a 25% markup on their cost price. What is the total revenue generated if all the books are sold?"} {"instruction": "A chat. A group of people were asked about their preferences for three types of fruits: apples, bananas, and oranges. The results showed that 12 liked apples, 8 liked bananas, 6 liked oranges, 4 liked both apples and bananas, 3 liked both apples and oranges, 2 liked both bananas and oranges, and 1 person liked all three fruits. How many people were surveyed? Explain your thought process."} {"instruction": "A chat. A factory produces 1200 units of a product per day, and each unit has a 5% chance of being defective. What is the expected number of defective units produced per day?"} {"instruction": "A chat. A jar contains 10 red marbles, 20 blue marbles, and 30 green marbles. What is the probability of randomly selecting a red marble followed by a blue marble without replacing the first marble?"} {"instruction": "A chat. A box contains 5 red balls and 3 green balls. If you randomly pick 2 balls without replacement, what is the probability that both balls are red?"} {"instruction": "A chat. A store sells apples for $2 per pound and oranges for $3 per pound. If a customer buys a total of 10 pounds of fruit consisting of both apples and oranges and spends exactly $25, how many pounds of each type of fruit did they buy?"} {"instruction": "A chat. If a red house is made from red bricks, a blue house is made from blue bricks, and a pink house is made from pink bricks, what is a greenhouse made from? Provide your logic."} {"instruction": "A chat. A shipping company is looking to optimize its container loading process at a major port. The company has access to 10 cranes, each capable of moving 20 containers per hour. Containers arrive at the port in batches of varying sizes and must be loaded onto ships within a specified time window. Determine the optimal crane allocation strategy to minimize ship waiting times and maximize crane utilization. Consider factors such as container size, ship capacity, and potential bottlenecks in the loading process.\n"} {"instruction": "A chat. If you have a cylindrical container with a diameter of 6 inches and a height of 12 inches, what is its volume in cubic inches?"} {"instruction": "A chat. A water tank can hold 8,000 liters of water. If a faucet releases water at a rate of 20 liters per minute, how long will it take to empty the tank completely?"} {"instruction": "A chat. In a town, there are 100 people. Half of them always tell the truth and half of them always lie. You meet two residents named Alice and Bob. Alice says \"At least one of us is a liar.\" Is it possible to determine if Alice or Bob is a liar or a truth-teller?"} {"instruction": "A chat. In a family with 4 children, each child has at least one brother and one sister. What is the gender distribution among the siblings?"} {"instruction": "A chat. A shipping company needs to transport large containers from a port to a warehouse located 50 miles away. Each container weighs 20 tons, and the company has access to trucks capable of carrying up to 5 containers at once. If the company can make 10 trips per day, determine how many days it would take to transport 200 containers. Additionally, calculate the fuel cost for this operation, considering that each truck consumes 6 miles per gallon of diesel fuel, and the current price of diesel is $3.50 per gallon. Explain your calculations.\n"} {"instruction": "A chat. If it takes 8 hours for 4 workers to paint a house, how long would it take for 2 workers to paint the same house?"} {"instruction": "A chat. In a class of 30 students, there are twice as many girls as boys. The teacher assigns each student to work in pairs for a project. If all the pairs must be mixed-gender, how many pairs will have both a boy and a girl?"} {"instruction": "A chat. A company has 120 employees, and 30% of them work remotely. If the company decides to increase its remote workforce by 50%, how many employees will be working remotely after the change?"} {"instruction": "A chat. A car travels at a constant speed of 50 mph for 3 hours. How many bananas does it pass on the way?"} {"instruction": "A chat. There are 50 red balls and 50 blue balls in a bag. You draw one ball out of the bag without looking, then put it back and mix the balls again. What is the probability of drawing a red ball after having drawn a blue ball?"} {"instruction": "A chat. A company produces 1500 units of product A and 2500 units of product B each month. Product A has a profit margin of $10 per unit, while product B has a profit margin of $8 per unit. What is the total profit generated by the company from both products after 6 months?"} {"instruction": "A chat. In a class of 40 students, 70% passed their math exam, and 80% passed their science exam. If every student passed at least one of the exams, what is the minimum number of students who passed both exams?"} {"instruction": "A chat. There are 120 students in a school. If 75% of the students play soccer, and 40% of the students play basketball, what is the minimum number of students who play both soccer and basketball?"} {"instruction": "A chat. A bookstore has 200 books on display. If 30% of them are fiction and 20% are biographies, what percent of the books are neither fiction nor biographies? Walk me through your solution."} {"instruction": "A chat. A zoo is planning to introduce a new exhibit featuring several endangered species. The exhibit will require 15 acres of land, with specific habitats designed for each species. Estimate the construction costs for the exhibit, taking into account factors such as fencing, landscaping, and specialized facilities (e.g., enclosures, pools, etc.). Also, determine the staffing requirements for animal care, education, and maintenance, as well as the associated salary expenses.\n"} {"instruction": "A chat. Calculate the volume of a sphere with radius 5 inches."} {"instruction": "A chat. In a school with 500 students, 60% are girls and the rest are boys. If half of the girls and one-third of the boys participate in sports, how many students in total participate in sports?"} {"instruction": "A chat. There are three light switches outside a room. One of them controls the light inside the room. You can only enter the room once and determine which switch controls the light. How do you figure out which switch it is?"} {"instruction": "A chat. A rectangular garden has a length of 15 meters and a width of 10 meters. What is the area of the garden?"} {"instruction": "A chat. A company has 120 employees, with 60% working in the sales department and the remaining employees working in the production department. If the company decides to increase its workforce by hiring an additional 20 employees, all of whom will work in the production department, what percentage of the total workforce will be working in the production department after the new hires?"} {"instruction": "A chat. There are 5 houses in a row, each painted a different color. The green house is immediately to the left of the white house. The blue house is somewhere to the right of the red house. Which house can we be certain is not in the middle?"} {"instruction": "A chat. A bag contains red, blue, and green marbles. There are twice as many red marbles as blue marbles, and three times as many green marbles as red marbles. If there are a total of 66 marbles in the bag, how many blue marbles are there?"} {"instruction": "A chat. In a bag, there are 10 red balls, 20 blue balls, and 15 green balls. If you randomly pick one ball from the bag without looking, what is the probability that it is not a red ball?"} {"instruction": "A chat. In a room full of people, 20% wear glasses, 40% wear contact lenses, and 15% wear both glasses and contact lenses. What percentage of people in the room do not wear any vision correction devices?"} {"instruction": "A chat. An agricultural company wants to optimize its crop yield by analyzing the effects of different fertilizers on plant growth. They have identified three types of fertilizer (A, B, and C) and plan to test them on four different crops (X, Y, Z, and W). To ensure accurate results, they will conduct the experiment using a randomized complete block design with five replicates per treatment combination. Calculate the total number of experimental units needed for this study and describe the process for assigning treatments to the units."} {"instruction": "A chat. An amusem*nt park wants to design a new roller coaster that will attract thrill-seekers from around the world. The park has allocated a budget of $20 million for the project and aims to complete it in two years. Develop a plan for designing and constructing the roller coaster, taking into account factors such as engineering requirements, safety regulations, and marketing efforts.\n"} {"instruction": "A chat. A rectangular garden has a length of 30 meters and a width of 20 meters. If the owner wants to build a fence around the entire garden with an additional 1-meter-wide walkway outside the fence, what will be the perimeter of the fence?"} {"instruction": "A chat. You see a house with two doors. One door leads to certain death and the other door leads to freedom. There are two guards, one in front of each door. One guard always tells the truth and the other always lies. You do not know which guard is which, nor which door leads to freedom. You can ask one guard one question to determine the path to freedom. What question should you ask? Include your logic."} {"instruction": "A chat. What is the probability of drawing three red cards from a standard deck of 52 playing cards if you draw them one at a time without replacing the cards back into the deck?"} {"instruction": "A chat. A rectangular room measures 12 feet in length and 8 feet in width. How many square feet of carpet are needed to cover the entire floor?"} {"instruction": "A chat. A cylindrical tank has a height of 10 meters and a radius of 4 meters. How many liters of water can it hold when filled to capacity? (1 cubic meter = 1000 liters)"} {"instruction": "A chat. If a car rental company has 150 cars, and 60% of them are rented out at any given time, how many cars are available for rent on average?"} {"instruction": "A chat. If you drive at an average speed of 65 mph for 4 hours and 30 minutes, how far will you have traveled?"} {"instruction": "A chat. If a tree produces 200 apples in a year, and each apple has 8 seeds on average, how many seeds does the tree produce in 5 years? Show your work."} {"instruction": "A chat. If a tree grows 2 inches taller every week, how much taller will it be after a year? Show your work."} {"instruction": "A chat. There are 5 houses in a row, each painted a different color. The green house is immediately to the left of the white house. The owner of the red house has a dog. The cat lives in the blue house. The horse lives next to the yellow house. Who owns the fish?"} {"instruction": "A chat. In a school, there are 4 times as many students as teachers. If there are 25 teachers, how many people are there in total? Explain your logic."} {"instruction": "A chat. If you wanted to save $1,200 in one year by depositing money into your savings account every month, how much should you deposit each month?"} {"instruction": "A chat. A bakery sells three types of cookies: chocolate chip, oatmeal raisin, and sugar. The ratio of chocolate chip to oatmeal raisin to sugar cookies sold is 3:2:1. If the bakery sells a total of 600 cookies in one day, how many of each type were sold?"} {"instruction": "A chat. If a train travels at a constant speed of 80 km/h and needs to cover a distance of 240 km, how long will it take to reach its destination?"} {"instruction": "A chat. If every person in a room shakes hands with everyone else exactly once, and there were a total of 66 handshakes, how many people are in the room?"} {"instruction": "A chat. The population of a town increases by 10% each year. If the current population is 20,000, what will be the population after 3 years?"} {"instruction": "A chat. In a school with 1200 students, 60% play soccer, 40% play basketball, and 25% play both sports. How many students do not play either sport?"} {"instruction": "A chat. A box contains 10 red balls, 20 blue balls, and 30 green balls. If a ball is drawn at random, what is the probability that it is either red or blue? Provide step-by-step logic."} {"instruction": "A chat. A restaurant serves 12 different dishes. Each customer orders 3 dishes. How many different combinations of dishes can a customer order? Provide step-by-step logic."} {"instruction": "A chat. A rectangular garden measures 20 feet by 30 feet. What is the area of this garden in square meters?"} {"instruction": "A chat. How many ways can you arrange the letters of the word \"COMPUTATION\" such that no two vowels are adjacent?"} {"instruction": "A chat. A factory produces 1000 widgets per day. Each widget consists of 3 parts: Part A, Part B, and Part C. The factory has a defect rate of 2% for Part A, 1% for Part B, and 3% for Part C. How many defective widgets are produced daily?"} {"instruction": "A chat. In a village, there are 10 houses in a row. The first house is blue, and each subsequent house alternates between red and blue. If the last house is also blue, how many red houses are there?"} {"instruction": "A chat. A factory can produce 50 cars every day. Each car requires 4 tires. How many tires are needed for a month's worth of car production if the month has 30 days? Explain step-by-step."} {"instruction": "A chat. If a box contains 5 red balls and 3 blue balls, what is the probability of picking a red ball at random? Show your work."} {"instruction": "A chat. In a game, you have to choose one of three doors. Behind one door is a car, and behind the other two doors are goats. After choosing a door, the host, who knows what's behind each door, opens one of the other two doors to reveal a goat. You then have the option to switch your choice to the remaining unopened door or stick with your original choice. What should you do to maximize your chances of winning the car?"} {"instruction": "A chat. A rectangular garden has a length of 25 feet and a width of 15 feet. If a gardener wants to add a 3-foot-wide walkway around the entire garden, what will be the new dimensions of the garden including the walkway?"} {"instruction": "A chat. A factory produces 500 units of product A in 8 hours. If they want to produce 750 units in the same amount of time, how many more workers are needed, assuming each worker has the same productivity rate?"} {"instruction": "A chat. In a group of people, 40% have brown eyes, 35% have blue eyes, and 25% have green eyes. If three people are selected at random, what is the probability that at least one of them has green eyes?"} {"instruction": "A chat. An apple tree produces 500 apples a year. Each apple contains around 10 seeds. How many seeds could be produced by this tree over 50 years? Include your calculations."} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. It takes the train 2 hours to travel from Town A to Town B. How long will it take the train to travel back from Town B to Town A if it travels at a speed of 40 miles per hour?"} {"instruction": "A chat. A hotel chain plans to open a new location with 150 rooms, including single, double, and suite options. They want to allocate 40% of the rooms as singles, 50% as doubles, and 10% as suites. Calculate the number of each room type and determine the total revenue generated if the average nightly rates are $120 for singles, $180 for doubles, and $350 for suites, assuming full occupancy."} {"instruction": "A chat. There are 10 people in a room. Each person shakes hands with every other person exactly once. How many handshakes occur in total?"} {"instruction": "A chat. If you drive at a constant speed of 55 miles per hour for 4 hours and then increase your speed to 65 miles per hour for another 3 hours, how far have you traveled?"} {"instruction": "A chat. There are 5 people in a room. Each person has an equal number of apples. If the total number of apples is 25, how many apples does each person have if we add two more people to the room?"} {"instruction": "A chat. A car travels 350 kilometers on 25 liters of fuel. What is its fuel consumption rate in kilometers per liter?"} {"instruction": "A chat. A factory produces 120 cars every day. How many cars does it produce in a week? Provide step-by-step logic."} {"instruction": "A chat. There are 100 people in a room. 75% of them wear glasses, and 45% of them have brown hair. If everyone with brown hair wears glasses, what percentage of people wearing glasses have brown hair?"} {"instruction": "A chat. If a store has 20 different types of candy and you want to buy exactly 5 different types, how many possible combinations can you choose?"} {"instruction": "A chat. An airport is expanding its runway capacity to accommodate larger aircraft and increased flight traffic. The current airport layout includes two parallel runways, each 12,000 feet long and 200 feet wide. The expansion plan involves adding a third runway of the same dimensions and upgrading all runways to handle heavier aircraft. Calculate the total area of asphalt required for this project, considering that the new runway will be built 1,000 feet away from the existing ones. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A man has three daughters and some number of sons. Each daughter has twice as many brothers as sisters. How many sons does the man have?"} {"instruction": "A chat. An amusem*nt park is planning to construct a new roller coaster. The park currently has 15 rides, with a total capacity of 3,000 riders per hour. They expect the new roller coaster to increase their hourly ride capacity by 20%. Calculate the total rider capacity per hour after the new roller coaster is built and estimate the potential increase in daily visitors based on this information. Explain your reasoning.\n"} {"instruction": "A chat. A factory produces 1000 widgets per day. On Mondays, they produce twice as many widgets as on Sundays. How many widgets do they produce on Tuesdays?"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 15 meters. What is the area of the garden, and what would be its new area if both dimensions were increased by 50%?"} {"instruction": "A chat. A company has 200 employees, with 120 being full-time and the remaining part-time. If the average salary for full-time employees is $50,000 per year and the average salary for part-time employees is $25,000 per year, what is the combined annual salary expense for the company?"} {"instruction": "A chat. A logistics company is planning to expand its fleet by purchasing 50 new trucks over the next five years. Each truck has an initial cost of $150,000 and an annual maintenance cost of $10,000. The company expects to generate additional revenue of $200,000 per truck per year. Calculate the total investment needed for the expansion and the expected return on investment (ROI) after five years, considering a 3% annual inflation rate on costs and revenues. Provide a detailed explanation of your calculations.\n"} {"instruction": "A chat. A train travels at a constant speed for 300 miles. For the first half of the journey, it travels at 60 mph. How fast does it need to travel during the second half of the journey to complete the entire trip in 7 hours?"} {"instruction": "A chat. A rectangle has an area of 84 square units. If the length of the rectangle is 3 times its width, what are the dimensions of the rectangle?"} {"instruction": "A chat. A company has 120 employees, and they decide to form teams for a team-building activity. If each team must have exactly 8 members, how many teams can be formed, and how many employees will be left without a team?"} {"instruction": "A chat. A train leaves from Station A and travels towards Station B at a constant speed. At the same time, another train leaves from Station B and travels towards Station A at a different constant speed. They meet halfway between the stations. If both trains continue without stopping, how long does it take for the faster train to reach the other station after they've met?"} {"instruction": "A chat. A factory produces 1500 units of a product per day. Due to increased demand, they decide to increase production by 10% each day for the next five days. How many total units will be produced over these five days?"} {"instruction": "A chat. Using the normal distribution, calculate the probability that a randomly selected score falls between 70 and 80 if the mean is 75 and the standard deviation is 5. Explain your calculations.\n"} {"instruction": "A chat. The Earth has a circumference of approximately 24,901 miles. How many times would you need to walk around the Earth to cover a distance equal to traveling from the Earth to the Moon, which is about 238,900 miles away?"} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. A postman has to deliver mail to every house. He starts at house number 1 and then skips the next two houses (i.e., he goes to house number 4). Then he skips three houses (going to house number 8), and so on. How many houses will he visit in total?"} {"instruction": "A chat. In a village, there are 10 houses in a row. Each house has one child living in it. The first house's child has 1 toy, the second house's child has 2 toys, and so on until the tenth house's child has 10 toys. One day, a new family moves into an empty house between two existing houses. Their child has 5 toys. How many children now have fewer toys than the new child?"} {"instruction": "A chat. If you roll a fair six-sided die twice, what is the probability that the sum of the rolls is 7? Explain your thought process."} {"instruction": "A chat. If a spherical balloon has a volume of 36\u03c0 cubic inches, what is its radius?"} {"instruction": "A chat. There are 12 men and 8 women in a room. If you randomly select two people from the room, what is the probability that both of them will be women?"} {"instruction": "A chat. If a bacteria population doubles every hour, how many bacteria will there be after 10 hours if the initial population was 500?"} {"instruction": "A chat. A food processing company wants to optimize its production line by reducing waste and increasing efficiency. They process 10,000 pounds of raw materials per day, with a yield rate (percentage of usable product) of 85%. If they can improve the yield rate by 5%, calculate the additional amount of finished product that can be produced daily. Explain your reasoning.\n"} {"instruction": "A chat. If you have $100 to spend on fruits and vegetables, how many pounds of apples can you buy if they cost $1.50 per pound and oranges cost $2 per pound? Assume you must buy at least one pound of oranges.\n"} {"instruction": "A chat. A shipping company wants to optimize its container loading process to reduce the turnaround time at ports. The company operates a fleet of 20 cargo ships, each with a capacity of 10,000 twenty-foot equivalent units (TEUs). On average, each ship spends 48 hours at port for loading and unloading operations. Analyze the current process and propose improvements that could reduce the turnaround time by at least 25%, taking into account factors such as labor productivity, equipment availability, and port congestion.\n"} {"instruction": "A chat. Jane spends 2 hours studying everyday. How much time does she spend studying in a school year of 180 days? Show your work."} {"instruction": "A chat. A group of friends decides to split the cost of renting a vacation house equally among themselves. If the rental costs $1,200 for the weekend and there are 8 friends in the group, how much will each friend need to contribute?"} {"instruction": "A chat. A bag contains 5 red balls, 3 blue balls, and 2 green balls. If you draw two balls at random without replacement, what is the probability that both balls will be the same color?"} {"instruction": "A chat. There are 120 students in a school. 40% of them play soccer, 50% play basketball, and 20% play both soccer and basketball. How many students don't play either sport?"} {"instruction": "A chat. In a certain game, players earn points based on their performance. At the end of the game, the player with the highest score wins. Alice scores 100 points more than Bob, who scores 50 points less than Carol. If Carol scores 200 points, what is the minimum number of points Alice must score to guarantee her victory?"} {"instruction": "A chat. In a town, 1/3 of the people are vegetarians. Half of the remaining people eat chicken but not beef, and the rest eat both chicken and beef. If there are 600 people in the town, how many people eat beef?"} {"instruction": "A chat. If a car travels at an average speed of 65 miles per hour, how far will it travel in 3 hours and 45 minutes?"} {"instruction": "A chat. You enter a room with three light switches labeled A, B, and C. Each switch controls one of three light bulbs in the next room. You can only enter the next room once. How can you determine which switch controls each light bulb?"} {"instruction": "A chat. There are 12 socks in a drawer: 6 black socks and 6 white socks. If you randomly pick out socks one by one in complete darkness, what is the minimum number of socks you need to pick to guarantee that you have at least one matching pair?"} {"instruction": "A chat. If a car rental company has 120 cars in its fleet, and 30% of the cars are electric, how many more gasoline-powered cars would they need to replace with electric cars to make 50% of their fleet electric?"} {"instruction": "A chat. A man buys a car for $20,000. After one year, the value of the car decreases by 25%. Each subsequent year, the value decreases by half as much as the previous year's decrease. What will be the value of the car after three years?"} {"instruction": "A chat. If a restaurant serves 150 meals in a day, and each meal includes 3 dishes, how many dishes does the restaurant serve in a month (assume 30 days)? Include your logic."} {"instruction": "A chat. A bag contains 4 red balls, 6 blue balls, and 5 green balls. What is the probability of drawing 2 red balls and 1 blue ball if three balls are drawn at once without replacement?"} {"instruction": "A chat. A rectangle has a length of 12 inches and a width of 8 inches. What is the shortest distance between opposite corners of the rectangle?"} {"instruction": "A chat. A father gives his three children $180 to share. He tells them to divide the money according to their ages, so that the oldest child gets twice as much as the middle child, and the middle child gets twice as much as the youngest child. How old is the youngest child if the sum of their ages is 14?"} {"instruction": "A chat. If a tree produces 20 apples in the first year, and each subsequent year it doubles its production from the previous year, how many apples will the tree produce in five years? Show your work."} {"instruction": "A chat. In a town, 2 out of every 5 people own a dog, and 1 out of every 4 people own a cat. If there are 100 people in the town, how many people own both a dog and a cat?"} {"instruction": "A chat. An apple tree produces 200 apples in a season. If there are 50 apple trees in an orchard, how many apples does the orchard produce in a season? Show your work."} {"instruction": "A chat. A store offers a discount on bulk purchases. If you buy 10 items or more, you get a 20% discount. How much would you save if you bought 15 items worth $12 each?"} {"instruction": "A chat. A box contains 6 red marbles, 4 blue marbles, and 5 green marbles. If you draw three marbles at random without replacement, what is the probability that you will draw exactly two red marbles?"} {"instruction": "A chat. If I toss a fair coin three times, what is the probability that I get at least two heads? Provide step-by-step explanation."} {"instruction": "A chat. A train travels 120 miles in 2 hours. How long would it take for the same train to travel 300 miles at the same speed?"} {"instruction": "A chat. If there are 60 seconds in a minute, how many seconds are there in a day? Show your work."} {"instruction": "A chat. If a company produces 1000 units of product A and 500 units of product B in one day, and the profit per unit for product A is $20 while the profit per unit for product B is $40, what is the total profit made by the company in one day?"} {"instruction": "A chat. A company sells two types of products - X and Y. The profit margin on product X is 30%, while the profit margin on product Y is 40%. If the company sells $10,000 worth of product X and $15,000 worth of product Y in a month, what is their total profit?"} {"instruction": "A chat. A company produces 3 different products (A, B, and C) with respective profit margins of 20%, 30%, and 40%. If the company sells $10,000 worth of product A, $15,000 worth of product B, and $25,000 worth of product C in one month, what is their total profit for that month?"} {"instruction": "A chat. A train travels at an average speed of 80 km/h without stopping. The train takes 5 hours to travel between two cities. If the train could increase its average speed by 25%, how much time would be saved on the journey?"} {"instruction": "A chat. A restaurant serves 100 meals in a day. Each meal generates an average of 0.5 kg of food waste. How much food waste does the restaurant generate in a week? Show your work."} {"instruction": "A chat. There are 8 red balls and 12 blue balls in a bag. You randomly pick one ball out of the bag and then put it back before picking another ball. What is the probability that you will pick two red balls consecutively?"} {"instruction": "A chat. A company has 20 employees, consisting of 12 men and 8 women. The company decides to form a committee of 5 people. In how many ways can the committee be formed if it must have at least 2 women?"} {"instruction": "A chat. There are 5 houses on a street, each painted a different color. The green house is immediately to the right of the white house. The red house is in the middle. The blue house is the first one on the left. Where is the yellow house located?"} {"instruction": "A chat. A sequence is defined by the recursive formula a_n = 2a_(n-1) - a_(n-2), where n \u2265 3. If the first two terms of the sequence are a_1 = 1 and a_2 = 3, what is the sixth term (a_6)?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. It takes 30 minutes to travel half the distance between the two towns. How long does it take to travel the entire distance between Town A and Town B?"} {"instruction": "A chat. In how many ways can you choose a committee of 3 people from a group of 10 people, if one specific person must be included in the committee?"} {"instruction": "A chat. A rectangular garden has a length of 25 meters and a width of 15 meters. What is the area of the garden in square meters?"} {"instruction": "A chat. If a train travels 250 miles in 5 hours, what is its average speed in miles per hour?"} {"instruction": "A chat. In a bag, there are 10 blue marbles, 15 green marbles, and 20 red marbles. If you randomly pick two marbles without replacement, what is the probability that both marbles will be red?"} {"instruction": "A chat. Solve: (4 * 2) + (5^2) - (8 / 2) ="} {"instruction": "A chat. If every cat has 7 lives and each life has 9 chances, how many total chances does a cat have? Show your work."} {"instruction": "A chat. A store offers a 25% discount on all items during a sale. If a shirt originally costs $40, how much will it cost after the discount? Provide detailed calculations.\n"} {"instruction": "A chat. In a village, there are 20 houses. Each house has a dog that barks at night when it hears another dog bark. If one dog starts barking and then all the other dogs join in, how many times will you hear a dog bark?"} {"instruction": "A chat. A city's public transportation system is considering implementing a new fare structure to encourage ridership and generate additional revenue. Currently, the system offers single-ride tickets for $2.50, daily passes for $7, and monthly passes for $75. Based on rider data, the average commuter takes two trips per day, five days a week. Evaluate different fare structures, including discounted multi-ride packages and time-based passes, to determine which options would be most attractive to commuters and provide the greatest financial benefit to the transit system.\n"} {"instruction": "A chat. In a game, players can earn either gold coins or silver coins. Alice has twice as many gold coins as Bob, while Bob has three times as many silver coins as Alice. If Alice has 12 silver coins, how many gold coins does Bob have if their total number of coins is equal?"} {"instruction": "A chat. Write a computer program to solve the traveling salesman problem using a genetic algorithm."} {"instruction": "A chat. A square has a side length of 10 inches. What is the area of the largest circle that can be inscribed inside this square?"} {"instruction": "A chat. Evaluate the limit as x approaches infinity for the function f(x) = (2x^3 - 5x^2 + 4)/(x^3 + 3x^2 - 2), providing step-by-step reasoning.\n"} {"instruction": "A chat. Analyze the stability of an equilibrium point in a given dynamical system, using linearization techniques.\n"} {"instruction": "A chat. An international shipping company wants to optimize its cargo distribution among its fleet of container ships. The company currently operates 15 ships, each with a maximum capacity of 10,000 TEUs (twenty-foot equivalent units). They plan to replace five older ships with new ones, each having a capacity of 12,000 TEUs. Calculate the overall change in the company's cargo capacity and determine how many additional containers they can transport on their busiest route, which typically utilizes 75% of the available capacity. Explain your reasoning.\n"} {"instruction": "A chat. In a town, 60% of the people have cats, and 40% of the people have dogs. Among those who have cats, 30% also have dogs. What percentage of the people in the town have both cats and dogs?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed of 60 km/h. The distance between the two cities is 180 km. Halfway through the journey, the train makes a 15-minute stop at a station. How long does it take for the train to travel from City A to City B?"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 12 meters. What is the area of the garden, and what would be the length of the diagonal?"} {"instruction": "A chat. A store offers a discount of 20% on an item that originally costs $250. If a customer also has a coupon for an additional 10% off after the initial discount, what will be the final price of the item?"} {"instruction": "A chat. If a car rental company has 150 cars, and 60% of them are rented out at any given time, how many more cars would they need to purchase so that there are always at least 100 cars available for rent?"} {"instruction": "A chat. A factory produces 250 widgets per hour. Each widget requires 2 minutes of machine time. How many machines are needed if the factory operates 8 hours per day?"} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Apples & Oranges.\" Each box is labeled incorrectly. You can only take out one fruit from one box without looking inside. How can you correctly label all the boxes by taking out just one fruit?"} {"instruction": "A chat. It takes 15 minutes to charge an electric scooter for a 5-mile ride. How long will it take to charge the scooter for a 20-mile ride?"} {"instruction": "A chat. Sarah has 2 sisters. Each sister has 3 brothers. How many brothers does Sarah have? Include your logic."} {"instruction": "A chat. In a classroom, there are 20 students. Each student shakes hands with every other student exactly once. How many handshakes take place in total?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding new buses and routes. The current fleet has 100 buses, each with a capacity of 50 passengers. The city wants to increase the total passenger capacity by 25% while maintaining an average occupancy rate of 80%. Calculate the number of additional buses needed and estimate the number of new routes required, considering that each route will have at least two buses operating simultaneously. Provide step-by-step reasoning.\n"} {"instruction": "A chat. The probability of drawing a red ball from a bag containing 5 red balls, 3 blue balls, and 2 green balls is 5/10. If two more red balls are added to the bag, what is the new probability of drawing a red ball?"} {"instruction": "A chat. A snail starts climbing up a 10-foot wall at a constant speed. It takes the snail 5 days to climb halfway up the wall. How many more days will it take for the snail to reach the top of the wall?"} {"instruction": "A chat. Four friends decide to split the cost of a $100 gift equally. However, one friend realizes they don't have enough money and can only contribute $20. How much more does each of the other three friends need to pay to cover the remaining cost?"} {"instruction": "A chat. In a town, every house is either red or blue. The mayor lives in a red house. Every resident who lives in a red house tells the truth, while those living in blue houses always lie. You ask a resident, \"Does the mayor live in your house?\" The resident answers, \"No.\" What color is the resident's house?"} {"instruction": "A chat. There are 120 birds on a tree. Half of them fly away. Then, one-third of the remaining birds fly away. Finally, one-fourth of the remaining birds fly away. How many birds are left on the tree?"} {"instruction": "A chat. How many distinct ways can a committee of 5 people be formed from a group of 10 people?"} {"instruction": "A chat. In a town, there are 5 families. Each family has at least one child. If the total number of children in the town is 12, what is the maximum number of families that can have exactly 3 children?"} {"instruction": "A chat. If a factory produces 250 units of product A and 150 units of product B every day, how many days will it take for the factory to produce 12,000 units of product A and 7,500 units of product B?"} {"instruction": "A chat. Calculate the volume of a rectangular prism with a length of 10 cm, width of 5 cm, and height of 3 cm."} {"instruction": "A chat. A farmer has a rectangular field that measures 100 meters by 70 meters. He wants to divide the field into square plots of equal size with no land left over. What is the largest possible size for each square plot?"} {"instruction": "A chat. A factory produces 1200 units of a product per day. The production rate increases by 5% each week. How many units will be produced on the 8th day?"} {"instruction": "A chat. In a room of 23 people, what are the chances that at least two people share the same birthday? Show your work."} {"instruction": "A chat. A group of people wants to split a $200 restaurant bill evenly among themselves. If each person contributes $25, how many people are in the group?"} {"instruction": "A chat. If a factory produces 500 units of product A per day and each unit costs $25 to produce, how much will it cost to produce 7500 units?"} {"instruction": "A chat. Solve for x: 3x - 7 = 5x + 1"} {"instruction": "A chat. A farmer has 5 types of seeds and wants to plant them in different combinations. How many unique combinations can he make if he plants exactly 3 types of seeds at a time?"} {"instruction": "A chat. A cone-shaped paper cup has a diameter of 6 cm and a height of 12 cm. What is its volume in cubic centimeters?"} {"instruction": "A chat. A telecommunications company is planning to expand its broadband network coverage to rural areas. They need to install 3000 miles of fiber-optic cable, connecting 500 towns with an average population of 2000 residents each. The cost of laying the cable is $100,000 per mile, and the company plans to offer broadband services at a monthly fee of $50 per household. Estimate the total investment required for this project and calculate the payback period, assuming a 25% market penetration rate and a 60% gross profit margin on revenues.\n"} {"instruction": "A chat. If f(x) = x^3 + 2x^2 - 5x + 1, find f'(x)."} {"instruction": "A chat. You're playing a game where you roll two six-sided dice. What's the probability of rolling a sum of 7? Provide step-by-step logic."} {"instruction": "A chat. A factory produces 200 units of a product every day. Each unit has a 10% chance of being defective. On average, how many defective units are produced daily?"} {"instruction": "A chat. A bag contains 5 red balls and 7 blue balls. If you draw two balls from the bag without replacement, what is the probability that both balls will be red?"} {"instruction": "A chat. Three friends, Alice, Bob, and Carol, decide to share a pizza equally. The pizza has 12 slices. They also order a side of fries, which they plan to divide into three equal portions. Unfortunately, when the food arrives, there are only 9 slices of pizza and 15 fries. How should they fairly divide the food so that everyone gets an equal amount of pizza and fries?"} {"instruction": "A chat. How many diagonals does a regular decagon (a polygon with 10 sides) have?"} {"instruction": "A chat. A bus leaves a station every 15 minutes. If you arrive at the station randomly, what is the average waiting time until the next bus arrives?"} {"instruction": "A chat. If a basketball team has 12 players and only 5 can play at any given time, how many different combinations of players can be on the court?"} {"instruction": "A chat. If a basketball player has a free throw shooting percentage of 75%, what is the probability that they will make exactly 3 out of their next 5 free throws?"} {"instruction": "A chat. If you have a right triangle with legs measuring 5 inches and 12 inches, what is the length of the hypotenuse in inches?"} {"instruction": "A chat. A sequence is defined recursively as follows: a_1 = 3, a_n = 2a_(n-1) + 1 for n > 1. What is the value of a_5?"} {"instruction": "A chat. A snail starts at the bottom of a 20-foot wall. Each day it climbs up 5 feet and each night it slides down 2 feet. How many days will it take for the snail to reach the top of the wall?"} {"instruction": "A chat. In a survey, it was found that 40% of people prefer tea over coffee. If there were 200 participants in the survey, how many people prefer coffee?"} {"instruction": "A chat. You have a drawer containing only black socks and white socks. If you randomly pick two socks without looking, the probability of getting a pair of black socks is 1/3. What fraction of the socks in the drawer are black?"} {"instruction": "A chat. A box contains 5 red balls, 3 blue balls, and 2 green balls. If you randomly pick two balls without replacement, what is the probability that both balls will be red?"} {"instruction": "A chat. There are 5 red apples and 3 green apples in a basket. If you randomly pick one apple from the basket without looking, what is the probability that it's a green apple?"} {"instruction": "A chat. In a certain town, half of the men are married to two-thirds of the women. What fraction of the population is married?"} {"instruction": "A chat. A store sells two types of candies. Type A costs $2 per piece and type B costs $3 per piece. How many pieces of each candy should be bought if you want to spend exactly $50 on candies?"} {"instruction": "A chat. In a city where everyone tells the truth or everyone lies, a traveler comes across two inhabitants. He asks them whether they are liars or truth-tellers. The first inhabitant says \"We are both liars.\" What are they really? Explain your thought process."} {"instruction": "A chat. Find the length of the hypotenuse of a right triangle with legs of length 8 and 15."} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding electric buses to the existing fleet. The city currently has 100 diesel buses, each with a capacity of 50 passengers. They want to replace 30% of these buses with electric ones that can hold up to 60 passengers each. Calculate the total passenger capacity of the new mixed fleet and determine how many additional bus stops will be needed if each stop serves an average of 200 passengers per day. Provide step-by-step reasoning.\n"} {"instruction": "A chat. Simplify the expression (2x^2y)^3 * (3xy^2)^2"} {"instruction": "A chat. A train leaves Town A for Town B at 60 mph. At the same time, another train leaves Town B for Town A at 80 mph. The distance between the two towns is 280 miles. How long will it take for the two trains to meet?"} {"instruction": "A chat. (3^2 - 4) * (6 / 2) + 5 * (2 + 1) ="} {"instruction": "A chat. You have a fair six-sided die numbered 1 through 6. If you roll the die three times, what is the probability that the sum of the numbers rolled will be even?"} {"instruction": "A chat. Analyze the economic impact of a proposed government policy on income distribution and wealth inequality. Provide supporting data and reasoning.\n"} {"instruction": "A chat. If a factory produces 250 units of product A every day, how many units will it produce in a year, assuming it operates 365 days?"} {"instruction": "A chat. A factory produces 1000 units of Product A and 2000 units of Product B every day. Each unit of Product A requires 3 workers, while each unit of Product B requires 2 workers. If the factory has a total of 8000 workers, how many more units of Product A can be produced if all remaining workers are assigned to produce only Product A?"} {"instruction": "A chat. A train leaves Station A traveling at 60 mph towards Station B, which is 180 miles away. At the same time, another train leaves Station B traveling at 90 mph towards Station A. When they meet, which train is closer to Station A?"} {"instruction": "A chat. In a town, 20% of the population owns cats, and 15% of the cat owners also own dogs. If there are 12,000 people living in the town, how many people own both cats and dogs?"} {"instruction": "A chat. A box contains 5 red balls, 8 blue balls, and 7 green balls. What is the probability of drawing 2 red balls and 1 blue ball without replacement?"} {"instruction": "A chat. If a person burns 600 calories per hour while running and wants to burn a total of 3000 calories, how many minutes do they need to run?"} {"instruction": "A chat. A beverage company wants to expand its product line by introducing a new flavor. They plan to conduct market research through taste tests involving 5000 participants. Each participant will receive a sample of the new flavor and a survey form to provide feedback. The company needs to produce 6000 samples (including extra samples for contingencies) at a cost of $1 per sample. Calculate the total cost of producing the samples and conducting the taste test, considering an additional expense of $2 per survey form for printing and processing. Describe your reasoning.\n"} {"instruction": "A chat. A box contains 4 red balls, 3 blue balls, and 5 green balls. If you randomly pick three balls from the box without replacement, what is the probability that at least one ball will be red?"} {"instruction": "A chat. Evaluate the limit as x approaches infinity of (3x^2 - 2x) / (x^2 + 1). Show your work.\n"} {"instruction": "A chat. If a factory produces 250 units per day and operates for 5 days a week, how many units will it produce in 4 weeks?"} {"instruction": "A chat. There are 10 people in a room. Each person shakes hands with every other person exactly once. How many handshakes occur? Provide step-by-step logic."} {"instruction": "A chat. In how many ways can a committee of 3 people be chosen from a group of 10 people?"} {"instruction": "A chat. In a town, 60% of the population are adults. Among the adults, 30% have blue eyes. If there are 120 people with blue eyes in the town, what is the total population of the town?"} {"instruction": "A chat. A theme park is planning to expand its offerings by adding new attractions and experiences. The park currently has 50 rides and attractions spread across 100 acres, attracting 2 million visitors annually. The expansion will add an additional 50 acres of land, and the park aims to increase annual attendance by 25%. Determine the optimal mix of new attractions, restaurants, and retail spaces that would achieve this goal while maintaining a balance between thrill rides, family-friendly experiences, and entertainment options.\n"} {"instruction": "A chat. A cruise ship company is planning a new itinerary for its fleet. The proposed route includes stops at five different ports over a period of 7 days. Each port has varying docking fees based on the size of the ship and the length of stay. In addition, fuel costs must be considered for the total distance traveled between ports. Develop a cost analysis for this new itinerary, considering the various factors involved in calculating docking fees, fuel consumption, and other expenses related to the operation of the cruise ship.\n"} {"instruction": "A chat. A box contains 8 white socks and 12 black socks. You need to grab a pair of matching socks in complete darkness. What is the minimum number of socks you must grab to ensure you have a matching pair?"} {"instruction": "A chat. In a village, there are 10 houses in a row. Each house is painted either red or blue. No three consecutive houses have the same color. How many different ways can these houses be painted?"} {"instruction": "A chat. If it takes 6 workers 8 hours to build a wall, how long will it take for 12 workers to build the same wall?"} {"instruction": "A chat. In a village, there are 50 houses. Each house has a dog, and each dog has 4 legs. If the total number of legs in the village is 1,000, how many cats with 4 legs are in the village?"} {"instruction": "A chat. A group of friends went on a trip together. There were twice as many women as men. They stayed at a hotel with rooms that could accommodate up to 4 people. All the rooms were fully occupied, and no one shared a room with someone of the opposite gender. How many rooms did they book if there were 12 women on the trip?"} {"instruction": "A chat. If you drive at an average speed of 55 mph for 3 hours and then increase your speed to 70 mph for another 2 hours, how far have you traveled in total?"} {"instruction": "A chat. If a car travels at an average speed of 50 miles per hour for 4 hours, how far does it travel?"} {"instruction": "A chat. A train travels from Station A to Station B at a constant speed of 60 km/h. The distance between the two stations is 180 km. If the train leaves Station A at 2:00 PM, what time will it arrive at Station B?"} {"instruction": "A chat. A hospital is conducting a study on the effectiveness of a new rehabilitation program for patients recovering from knee surgery. They plan to enroll 300 patients in the study, with half receiving the new program and half receiving the standard treatment. Each patient will attend therapy sessions three times a week for six weeks. Calculate the total number of therapy sessions required for the entire study, and estimate the number of therapists needed if each therapist can handle four patients per hour during their 40-hour workweek. Provide step-by-step reasoning.\n"} {"instruction": "A chat. There are 5 red balls and 3 green balls in a bag. You have to pick two balls without looking. What is the probability that you will pick two red balls?"} {"instruction": "A chat. In a school, there are 120 students in Grade 8, and 30% of them are girls. If 5 more boys join the grade, what will be the new percentage of girls in Grade 8?"} {"instruction": "A chat. A company has a starting revenue of $50,000 per month. If their monthly revenue increases by 10% each month, what will be their total revenue for the first year?"} {"instruction": "A chat. In a small town, there are 3 barbers. The first barber has a neat and tidy haircut, the second barber has an average-looking haircut, and the third barber has a messy and unkempt haircut. Which barber should you go to for the best haircut?"} {"instruction": "A chat. If a car consumes 1 gallon of gas every 20 miles and you want to drive 300 miles, how much will it cost you if the price of gas is $3.50 per gallon?"} {"instruction": "A chat. If you read 20 pages of a book every day for a month, how many books can you finish in that month if each book has 250 pages?"} {"instruction": "A chat. In a building, there are 5 floors. On each floor, there are 4 apartments. Each apartment has 3 rooms and in each room, there are 2 people living. How many legs are there in the building?"} {"instruction": "A chat. A train leaves Town A heading towards Town B at a speed of 60 km/h. At the same time, another train leaves Town B heading towards Town A at a speed of 90 km/h. The distance between the two towns is 300 km. How far apart will the trains be after 2 hours?"} {"instruction": "A chat. Three people check into a hotel room that costs $30. They split the cost evenly and each pay $10. Later, the manager realizes the room was only supposed to cost $25 and gives the bellhop $5 to return to the guests. On the way to the room, the bellhop decides to keep $2 for himself and then gives each guest $1 back. Now, each guest paid $9 (for a total of $27) and the bellhop kept $2. Where did the extra dollar go?"} {"instruction": "A chat. If a person walks at an average speed of 4 miles per hour, how long will it take them to walk 12 miles?"} {"instruction": "A chat. A company has a budget of $10,000 for employee bonuses. If they want to give each employee an equal bonus, but must first deduct a 5% administrative fee from the budget, how much will each employee receive if there are 20 employees?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 mph. The distance between the two towns is 180 miles. At the same time, another train leaves Town B heading towards Town A at a constant speed of 90 mph. When will the two trains meet?"} {"instruction": "A chat. There are 8 pills. They are all the same size and color. One pill weighs slightly more than the others and it is poisonous. You have a balance scale that you can use to compare the weight of the pills. What is the minimum number of times you must use the scale to ensure you have found the poisonous pill? Explain your steps."} {"instruction": "A chat. An apple tree produces 200 apples a year. A farmer has 12 trees. How many apples does he produce in a decade? Walk me through your solution."} {"instruction": "A chat. A bank offers an annual interest rate of 5% compounded monthly on a savings account. If you deposit $1,000 into the account, how much money will be in the account after one year?"} {"instruction": "A chat. In a standard deck of 52 playing cards, what is the probability of drawing a face card (jack, queen, or king) or an ace?"} {"instruction": "A chat. A beverage company wants to launch a new line of fruit juices in eco-friendly packaging. They plan to use biodegradable bottles made from plant-based materials, which cost $0.10 more per bottle than traditional plastic ones. The company expects to sell 1 million bottles per month and aims to reduce its carbon footprint by 20% within the first year. Calculate the additional production costs associated with using eco-friendly packaging and estimate the potential reduction in CO2 emissions based on industry averages. Explain your calculations and assumptions.\n"} {"instruction": "A chat. In a village, there are 100 houses. If every house has at least one cat and no more than 5 cats, what is the minimum number of cats in the village?"} {"instruction": "A chat. An event management company is organizing a large conference for professionals in the tech industry. They expect around 2,000 attendees and plan to have four parallel sessions running throughout the day. Each session will require a separate room with seating capacity for at least 600 people. The venue rental costs $10,000 per day, and catering services charge $50 per person for lunch and snacks. Calculate the total cost of hosting the conference and describe the steps involved in determining this amount.\n"} {"instruction": "A chat. There are 5 red balls and 3 blue balls in a bag. You randomly pick one ball, then put it back and mix the balls again before picking another ball. What is the probability of picking two red balls in a row?"} {"instruction": "A chat. There are 10 people in a room, including you. Each person knows exactly 3 other people in the room. How many pairs of friends are there in total?"} {"instruction": "A chat. A store offers a discount on a product by reducing its price by 20% each week for three consecutive weeks. If the original price of the product was $100, what would be the final price after all three discounts have been applied?"} {"instruction": "A chat. In a small town, there are 20 houses. Each house has at least one cat and at least one dog. If each cat can catch 3 mice per day and each dog can catch 5 mice per day, what is the minimum number of mice caught daily in the entire town?"} {"instruction": "A chat. A train travels from Town A to Town B in 5 hours. The distance between the two towns is 300 miles. If the train had traveled at a speed that was 10 mph faster, how long would it have taken to travel the same distance?"} {"instruction": "A chat. There are 50 people on a bus. At the first stop, 20 people get off and 10 new passengers get on. At the second stop, 15 people get off and 5 new passengers get on. How many stops does it take for all the original passengers to leave the bus?"} {"instruction": "A chat. There are 50 people on a bus. At the first stop, 15 people get off the bus, and 10 new passengers get on. At the second stop, 20 people get off the bus, and 25 new passengers get on. What is the final number of passengers on the bus?"} {"instruction": "A chat. A group of people is divided into three teams: Team A, Team B, and Team C. Everyone in Team A knows at least one person in Team B. Everyone in Team B knows at least one person in Team C. Does everyone in Team A necessarily know someone in Team C? Provide logical reasoning."} {"instruction": "A chat. A train travels from City A to City B in 2 hours and then from City B to City C in 3 hours. The distance between City A and City B is 120 miles. If the train maintains a constant speed throughout its journey, what is the distance between City B and City C?"} {"instruction": "A chat. A rectangular garden has a length of 25 feet and a width of 15 feet. What is the area of the garden in square feet?"} {"instruction": "A chat. John's father has five sons named Ten, Twenty, Thirty, Forty... What would be the name of the fifth son?"} {"instruction": "A chat. A group of people donated a total of $12,000 to a charity. If 60% of the donations came from men and the rest came from women, how much more did men donate than women?"} {"instruction": "A chat. You have a bag of 100 marbles. 70% of the marbles are red, the rest are blue. How many blue marbles do you have? Explain your reasoning."} {"instruction": "A chat. A box contains red balls and blue balls. If there are 30% more red balls than blue balls, what percentage of the balls in the box are blue?"} {"instruction": "A chat. Derive the formula for the area of a trapezoid using calculus, providing step-by-step reasoning.\n"} {"instruction": "A chat. A company has 10 employees who work 8 hours per day, and each employee is paid $20 per hour. If the company operates for 22 working days in a month, how much does the company spend on employee salaries in that month?"} {"instruction": "A chat. A car rental company has a fleet of 150 cars. Out of these, 60% are compact cars, 30% are sedans, and the rest are SUVs. How many of each type of car does the company have?"} {"instruction": "A chat. A snail can crawl 3 meters in one hour. How long will it take for the snail to crawl 100 meters?"} {"instruction": "A chat. In a small town, there is a baker who bakes bread every day. He uses exactly 100 pounds of flour each day to make his bread. One day, he accidentally spills half of the flour while preparing the dough. If he still wants to bake bread with the remaining flour, how much less bread will he be able to produce compared to a regular day?"} {"instruction": "A chat. A bag contains 5 red balls, 3 blue balls, and 2 green balls. If you draw 3 balls from the bag without replacement, what is the probability of drawing one ball of each color?"} {"instruction": "A chat. The Earth orbits the Sun at an average distance of approximately 93 million miles. If it takes about 365.25 days for the Earth to complete one orbit around the Sun, what is the average speed of the Earth in miles per day?"} {"instruction": "A chat. A train leaves from City A to City B at 60 mph. At the same time, another train leaves from City B to City A at 90 mph. The distance between the two cities is 450 miles. How far apart will the trains be when they pass each other?"} {"instruction": "A chat. In a game show, you have three doors in front of you. Behind one door is a car, and behind the other two are goats. You choose Door 1. The host, who knows what's behind each door, opens Door 3 to reveal a goat. He then asks if you want to switch your choice to Door 2 or stick with Door 1. What should you do?"} {"instruction": "A chat. A car rental agency has a fleet of 200 cars, consisting of compact, midsize, and full-size vehicles. The ratio of compact to midsize to full-size cars is 3:2:1. How many of each type of car does the agency have in its fleet?"} {"instruction": "A chat. A water tank has a capacity of 500 liters. It currently contains 200 liters of water. How many minutes will it take to fill the tank completely if water flows into the tank at a rate of 15 liters per minute?"} {"instruction": "A chat. A shipping company is looking to optimize its fleet of cargo ships to reduce fuel consumption and operating costs. The current fleet consists of various ship sizes, each with different fuel efficiency levels. Analyze the data on fuel consumption, cargo capacity, and operating costs for each ship type, and propose a strategy for optimizing the fleet composition to minimize overall costs while maintaining service levels.\n"} {"instruction": "A chat. If I read 25 pages of a book in half an hour, how long will it take me to read a 300-page book? Include your reasoning."} {"instruction": "A chat. An airline is analyzing the profitability of a new flight route between two major cities. The plane used for this route has a capacity of 250 passengers and operates one round-trip flight per day. The airline's fixed costs for operating this route are $50,000 per month, while variable costs (fuel, crew salaries, etc.) amount to $20,000 per round-trip flight. Calculate the monthly revenue needed for the airline to break even on this route, and determine the minimum ticket price required assuming a 90% average occupancy rate. Explain your calculations.\n"} {"instruction": "A chat. In a certain city, 60% of the population is male, and 40% is female. Among the males, 25% are married, while among the females, 30% are married. What percentage of the total population is married?"} {"instruction": "A chat. In a chess tournament, each player plays every other player exactly once. If there were a total of 28 games played, how many players participated in the tournament? Show your steps."} {"instruction": "A chat. If a rectangle's length is twice its width, and its perimeter is 60 meters, what are the dimensions of the rectangle?"} {"instruction": "A chat. In a group of people, 15 like chocolate ice cream, 20 like vanilla ice cream, and 10 like both chocolate and vanilla ice cream. How many people in the group like either chocolate or vanilla ice cream but not both?"} {"instruction": "A chat. How many miles would a person travel if they walked 10,000 steps every day for a month?"} {"instruction": "A chat. A bag contains 4 red balls, 6 blue balls, and 5 green balls. What is the probability of drawing 2 red balls and 1 blue ball in three consecutive draws without replacement?"} {"instruction": "A chat. There are 8 apples on the table. John takes away 3 apples, and Jane takes away 2 apples. If Mary puts back 1 apple, how many apples does John have?"} {"instruction": "A chat. A man has 7 daughters, and each daughter has a brother. How many children does the man have?"} {"instruction": "A chat. A train leaves New York City at 60 mph while another train leaves Los Angeles traveling at 80 mph. How many bananas are on each train?"} {"instruction": "A chat. A store sells shirts in three sizes - small, medium, and large. There are twice as many small shirts as there are medium shirts, and three times as many large shirts as there are medium shirts. If there are a total of 66 shirts, how many of each size are there?"} {"instruction": "A chat. In a room, there are 5 cats. Each cat catches 3 mice. However, one of the cats is lazy and only catches half as many mice as the others. How many mice were caught in total?"} {"instruction": "A chat. In a village, there are 50 houses. Every house has a dog and every dog has 4 legs. However, some dogs have lost one leg due to accidents. If the total number of legs in the village is 192, how many dogs have lost one leg?"} {"instruction": "A chat. A farmer has a rectangular field with a length of 120 meters and a width of 80 meters. He wants to plant trees along the perimeter of the field such that there is an equal distance between each tree and no more than 20 meters apart. What is the minimum number of trees he needs to plant?"} {"instruction": "A chat. In a group of people, 70% have brown eyes, and 45% have blonde hair. If 30% of the people have both brown eyes and blonde hair, what percentage of the people with brown eyes also have blonde hair?"} {"instruction": "A chat. If a train travels at an average speed of 80 kilometers per hour for 4 hours and then at an average speed of 120 kilometers per hour for another 3 hours, how far does it travel in total?"} {"instruction": "A chat. Solve the partial differential equation \u2202u/\u2202t = k * (\u2202^2u/\u2202x^2) for u(x, t)"} {"instruction": "A chat. A hospital is conducting a study on the effectiveness of a new surgical procedure. They plan to enroll 500 patients in the study, with half receiving the new procedure and half receiving the standard treatment. The new procedure has a success rate of 90%, while the standard treatment has a success rate of 80%. If the hospital charges $10,000 for the new procedure and $7,000 for the standard treatment, calculate the total revenue generated from the study. Additionally, estimate the overall success rate of the study, factoring in the success rates of both treatments. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A company produces two types of products, A and B. Product A requires 2 hours of labor to produce one unit, while product B requires 3 hours of labor for one unit. If the company has 240 hours of labor available per week, how many units of each product can they produce if they want to allocate equal amounts of labor to both products?"} {"instruction": "A chat. Compute the determinant of the matrix B = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]."} {"instruction": "A chat. A jar contains red and blue marbles. If you pick two marbles at random without replacement, the probability of getting one red marble and one blue marble is 1/2. If there are 5 red marbles in the jar, how many blue marbles are there?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes 2 hours to travel from station A to station B. After stopping at station B for 30 minutes, it continues its journey to station C, taking another 1.5 hours. What is the total distance traveled by the train from station A to station C?"} {"instruction": "A chat. A car travels 60 miles in 2 hours. If the car continues at the same speed, how many miles will it travel in 3 hours and 30 minutes?"} {"instruction": "A chat. In a room, there are 10 people. Each person has exactly 3 friends in the room. How many friendships exist among these people?"} {"instruction": "A chat. There are 30 birds sitting on a fence. If you shoot one bird, how many birds remain on the fence?"} {"instruction": "A chat. A factory produces 500 units of a product per day, but due to defects, only 95% of these units are usable. If the factory operates for 30 days, how many usable units will be produced during this period?"} {"instruction": "A chat. A factory produces 200 units of product A and 300 units of product B in one day. Product A requires 2 hours to produce, while product B takes 3 hours. How many total hours does the factory spend producing products each day?"} {"instruction": "A chat. Given a set S with n elements, how many subsets does S have?"} {"instruction": "A chat. Solve: ((7 - 3)^2 * (5 / 4) + 6) - 2 * 8 + 9 ="} {"instruction": "A chat. If a tree produces 200 apples per year, how many apples would 50 trees produce in 7 years?"} {"instruction": "A chat. A bacteria culture doubles in size every 3 hours. If there are initially 100 bacteria in the culture, how many bacteria will there be after 15 hours?"} {"instruction": "A chat. A store sells apples in bags of 4, 6, and 9. If a customer wants to buy exactly 100 apples without having any left over, what is the minimum number of bags they need to purchase?"} {"instruction": "A chat. In a family of 5 children, the oldest child is twice as old as the youngest. The second oldest child is half the age of the oldest. The middle child is 3 years younger than the oldest. The fourth child is 2 years older than the youngest. How old is the youngest child if their combined ages are 45 years?"} {"instruction": "A chat. A train travels from City A to City B in 3 hours. The distance between the cities is 180 miles. If the train increases its speed by 10 mph, how long will it take to travel the same distance?"} {"instruction": "A chat. If a farmer has 15 acres of land and wants to divide it into rectangular plots, each with an area of 3 acres, what are the possible dimensions for these plots?"} {"instruction": "A chat. A zoo is planning to expand its animal exhibits and needs to calculate the amount of space required for each species. The zoo currently houses 50 different species, with varying space requirements based on their size and habitat preferences. Calculate the total area needed for the expansion, considering factors such as animal size, habitat type, and the number of animals per species. Provide a step-by-step reasoning for your calculations.\n"} {"instruction": "A chat. A rectangular room has a length of 6 meters, a width of 4 meters, and a height of 3 meters. How many square meters of wallpaper are needed to cover all four walls of the room?"} {"instruction": "A chat. A group of people are waiting in line to buy tickets for a concert. There are twice as many women as men in the line. If there are 30 people in total, how many men and women are in the line?"} {"instruction": "A chat. There are 4 houses in a row. The red house is to the left of the blue house, but not necessarily next to it. The green house is immediately to the right of the red house. The yellow house is between the blue and green houses. In which order are the houses arranged?"} {"instruction": "A chat. How many ways are there to arrange the letters of the word \"STATISTICS\"?"} {"instruction": "A chat. A factory produces 200 widgets per hour. Due to an increase in demand, the factory increases its production rate by 50%. However, after two hours at this increased rate, a machine breaks down and the production rate drops to 75% of the original rate. If the factory operates for a total of 8 hours, how many widgets are produced?"} {"instruction": "A chat. There are 12 pens on a table: 4 black, 4 blue, and 4 red. You want to pick up 3 pens without looking. What is the minimum number of pens you need to pick up to guarantee that you have at least one pen of each color?"} {"instruction": "A chat. A food processing plant wants to expand its production capacity by adding a second shift. The plant currently operates one 8-hour shift per day, producing 10,000 units of product daily. The second shift would also be 8 hours long and produce the same amount of product. However, due to higher energy costs during peak hours, the cost of operating the second shift is 20% higher than the first shift. Calculate the additional daily production and associated costs, as well as the potential profit margin, assuming a selling price of $5 per unit and a production cost of $3 per unit for the first shift.\n"} {"instruction": "A chat. A group of friends goes out to dinner and spends a total of $200 on food. They decide to leave a 15% tip for the server. How much money did they spend in total, including the tip?"} {"instruction": "A chat. If a person consumes 2500 calories per day, how many calories would they consume in a week?"} {"instruction": "A chat. In a class of 40 students, 75% passed their math exam. How many students failed the exam?"} {"instruction": "A chat. A train travels 100 miles in 2 hours. The first hour, it travels at a constant speed of 40 miles per hour. How fast does the train travel during the second hour?"} {"instruction": "A chat. Solve: ((4^2 - 6) * 3 + 8) / 2 ="} {"instruction": "A chat. A factory produces 1000 widgets per day. Each widget has a 10% chance of being defective. If the factory discards all defective widgets and only ships out non-defective ones, how many non-defective widgets are shipped out on average each day?"} {"instruction": "A chat. A car rental company charges $20 per day for renting a car and an additional fee of $0.15 per mile driven. If a customer rents a car for 3 days and drives it for 150 miles, how much will they be charged in total?"} {"instruction": "A chat. (3^2 + 4^2) * (5 - 1)^2 ="} {"instruction": "A chat. A hospital is planning to expand its emergency department to accommodate more patients. Currently, the department has 20 beds and treats an average of 60 patients per day, with an average stay of 6 hours per patient. The expansion will add another 10 beds, but the hospital also needs to account for additional staff, equipment, and utility costs. Calculate the total cost of the expansion, considering all factors, and determine if the increased capacity will result in a decrease in average wait times for patients. Provide a detailed explanation.\n"} {"instruction": "A chat. In a family of 5 children, each child has at least one sibling with the same birthday as them. How is this possible?"} {"instruction": "A chat. In a class of 30 students, 18 students play soccer, and 12 students play basketball. If 6 students play both sports, how many students do not play any sport?"} {"instruction": "A chat. An airline company wants to optimize its flight schedules for maximum efficiency and profitability. They operate 10 different routes, each with varying demand levels and ticket prices. The company has a fleet of 20 aircraft, each with a seating capacity of 150 passengers. Develop a plan to allocate aircraft to each route based on demand, ticket price, and operational costs such as fuel, crew salaries, and maintenance expenses. Explain your reasoning and calculations.\n"} {"instruction": "A chat. A bag contains red and blue marbles only. If you pick two marbles at random without replacement, the probability of picking two red marbles is 1/3. What is the smallest possible total number of marbles in the bag?"} {"instruction": "A chat. ((7 - 3)^2 * (8 / 4) - 1) + 6 * 3 - 2 ="} {"instruction": "A chat. A large supermarket chain is analyzing the profitability of opening a new store in a rapidly growing suburban area. The store will have a floor space of 50,000 square feet and is expected to generate annual sales of $30 million. Calculate the initial investment needed for construction, land acquisition, and inventory stocking. Also, factor in ongoing operating expenses such as employee salaries, utilities, and maintenance. Provide a detailed financial analysis.\n"} {"instruction": "A chat. A container is filled with water at a rate of 12 liters per minute. How long will it take to fill a swimming pool with a volume of 50,000 liters using this container?"} {"instruction": "A chat. In a sequence where each term is the sum of the two preceding terms, and the first three terms are 2, 5, and 12, what is the value of the eighth term?"} {"instruction": "A chat. In a certain country 1/2 of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10?"} {"instruction": "A chat. An international shipping company needs to determine the most efficient route for transporting goods between three major ports (A, B, and C). Each port has different fees associated with docking and loading/unloading cargo, as well as varying distances between them. Port A charges $10,000 per docking, Port B charges $15,000, and Port C charges $12,000. The distance between Port A and B is 800 miles, between Port B and C is 600 miles, and between Port A and C is 1,200 miles. Assuming a fuel cost of $3 per mile, calculate the most cost-effective route for the shipping company and explain your reasoning.\n"} {"instruction": "A chat. An airline company plans to expand its fleet by purchasing 10 new airplanes over the next five years. Each airplane costs $100 million, and the company has an annual budget of $250 million for fleet expansion. In addition to the purchase price, there are maintenance costs, crew training expenses, and other operational costs associated with each plane. Estimate the total cost of ownership for these new planes over a period of 10 years and describe your calculation steps.\n"} {"instruction": "A chat. A company has 500 employees. If 60% of them are full-time employees and the rest are part-time employees, how many more full-time employees does the company have than part-time employees?"} {"instruction": "A chat. In a bag, there are 20 marbles: 6 red, 7 blue, and 7 green. If you randomly pick two marbles from the bag without replacement, what is the probability that both marbles will be blue?"} {"instruction": "A chat. Five friends went out for dinner and decided to split the bill evenly. The total cost was $100. However, they later realized that they forgot to include the tip, which should be 20% of the total cost. How much more does each person have to pay to cover the tip?"} {"instruction": "A chat. A factory produces 250 units of product A and 400 units of product B every day. Each unit of product A requires 3 hours of labor, while each unit of product B requires 2 hours of labor. How many workers does the factory need if each worker works 8 hours a day and all products must be completed within one day?"} {"instruction": "A chat. In a small town, there are 5 barbers. Each barber cuts hair for exactly 4 other barbers in the town. How many total haircuts do these barbers give to each other?"} {"instruction": "A chat. There are four apples in a basket. You take away three. How many apples do you have?"} {"instruction": "A chat. An airline company is considering adding a new route between two major cities. To do this, they need to purchase a new aircraft capable of carrying 300 passengers. The company wants to ensure that at least 70% of the seats are economy class, while the remaining seats are divided equally between business and first-class. Calculate the number of seats for each class and estimate the ticket prices needed to achieve a target revenue of $200,000 per flight, assuming an average load factor of 85%. Explain your reasoning.\n"} {"instruction": "A chat. If a company produces 5000 units of a product per month and each unit costs $20 to produce, how much would the production cost be reduced if they were able to decrease the cost per unit by 15%?"} {"instruction": "A chat. A train leaves from station A and travels towards station B at a speed of 60 mph. At the same time, another train leaves from station B and travels towards station A at a speed of 80 mph. If the distance between the two stations is 420 miles, how far will each train have traveled when they meet?"} {"instruction": "A chat. If a factory produces 500 units of a product every 8 hours, how many units will it produce in a week (7 days)?"} {"instruction": "A chat. A city's public transportation system consists of buses, trains, and ferries, serving a population of 2 million residents. The city wants to improve the efficiency and accessibility of its transit network by adding new routes, increasing service frequency, and upgrading infrastructure. Develop a comprehensive plan to achieve these goals within a budget of $500 million over a five-year period, considering factors such as ridership projections, cost per mile of new infrastructure, and operating expenses. Provide step-by-step reasoning and calculations for your proposed improvements."} {"instruction": "A chat. A large hospital wants to optimize its patient-to-nurse ratio for better patient care. Currently, there are 800 patients and 200 nurses working in three shifts. The ideal patient-to-nurse ratio is 4:1. Determine how many additional nurses the hospital needs to hire to achieve this ratio, considering an annual nurse turnover rate of 15%. Also, calculate the distribution of nurses across the three shifts.\n"} {"instruction": "A chat. In an election, candidate X received 45% of the total votes, while candidate Y received 35%. The remaining votes were distributed among other candidates. How many more votes did candidate X receive than candidate Y if there were 120,000 total votes cast?"} {"instruction": "A chat. In a town, there are 100 houses. Every house has at least one pet. If 50 houses have dogs and 60 houses have cats, how many houses have both dogs and cats?"} {"instruction": "A chat. In a school, there are 200 students. Half of them study French, a quarter study German, and the rest study Spanish. How many students study Spanish? Include your logic."} {"instruction": "A chat. A group of friends decides to play a game where each friend must choose either rock, paper, or scissors. If at least one person chooses each option, what is the minimum number of friends required for this game? Provide your reasoning."} {"instruction": "A chat. If a car travels at an average speed of 60 mph for 2 hours and then increases its speed to 80 mph for another 1 hour, how far does the car travel in total?"} {"instruction": "A chat. A company has an annual revenue of $5 million and spends 40% on salaries, 30% on rent and utilities, and 20% on marketing. How much profit does the company make annually?"} {"instruction": "A chat. Let G be a group with the following presentation: . Determine the order of G and prove your result.\n"} {"instruction": "A chat. A store sells three types of candies: type A costs $1.50 per piece, type B costs $2.00 per piece, and type C costs $3.00 per piece. If a customer buys 6 pieces of type A, 4 pieces of type B, and 2 pieces of type C, what is the total cost?"} {"instruction": "A chat. A sports league is planning to expand its season by adding more games to the schedule. Currently, each team plays 82 games per season, generating an average revenue of $1 million per game for the league. The proposal is to increase the number of games to 100 per season. Calculate the additional revenue generated by this expansion, and weigh it against potential drawbacks such as increased player fatigue, risk of injuries, and fan interest. Provide step-by-step reasoning."} {"instruction": "A chat. There are three bags labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" Each bag contains only apples or oranges. However, all the labels on the bags are incorrect. How many fruits do you need to pick out to determine the correct labeling of each bag?"} {"instruction": "A chat. A car depreciates at a rate of 15% per year. If its initial value was $25,000, what will its value be after 4 years? Explain your calculations.\n"} {"instruction": "A chat. A car park has 5 levels. Each level has 4 sections. Each section has 25 parking spaces. How many parking spaces are there in the car park? Include your logic."} {"instruction": "A chat. If a rectangular room has a length of 15 feet and a width of 10 feet, what is the area of the room?"} {"instruction": "A chat. A bakery needs to prepare 500 cupcakes for a charity event. They have four ovens that can bake 24 cupcakes each in one hour. Calculate how long it will take for the bakery to finish baking all the cupcakes, considering that they can only use three ovens simultaneously due to power constraints. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. Every day, the postman delivers mail to half of the houses. However, he never delivers mail to two consecutive houses on the same day. What is the maximum number of days it would take for every house to receive mail at least once?"} {"instruction": "A chat. If a rectangle has a length of 15 meters and a width of 8 meters, what is the area of the rectangle?"} {"instruction": "A chat. If a car rental company has 12 cars available and they rent out the cars in groups of 3, how many different combinations of cars can be rented?"} {"instruction": "A chat. A car rental company has a fleet of 60 cars. They have two types of cars: economy and luxury. The ratio of economy cars to luxury cars is 3:2. How many luxury cars does the company have?"} {"instruction": "A chat. If a train travels at an average speed of 60 miles per hour for 3 hours and then increases its speed to 80 miles per hour for another 2 hours, what is the total distance traveled by the train?"} {"instruction": "A chat. In a room, there are 4 married couples. Each person shakes hands with every other person they are not married to. How many handshakes take place in total?"} {"instruction": "A chat. A cylindrical container with a radius of 4 inches and a height of 10 inches is filled to the brim with water. If a solid sphere with a radius of 3 inches is placed in the container, how much will the water level rise?"} {"instruction": "A chat. A group of friends went out for dinner. They decided to split the bill evenly among them. After paying, they realized that they had paid $20 extra. If they were to divide the extra amount equally among themselves, each person would get back $4. How many people were in the group?"} {"instruction": "A chat. A store sells two types of pens - Type A and Type B. The price of a Type A pen is twice that of a Type B pen. If you buy 10 Type A pens and 20 Type B pens for a total cost of $90, what is the price of each type of pen?"} {"instruction": "A chat. ((4^2) / (8 - 3)) * 6 - 10 ="} {"instruction": "A chat. A bag contains 4 red balls, 6 blue balls, and 5 green balls. If you randomly pick one ball from the bag, what is the probability of picking a red or blue ball?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 km/h. On its way back from Town B to Town A, it travels at a speed of 40 km/h due to bad weather conditions. What is the average speed of the train for the entire round trip?"} {"instruction": "A chat. A box contains 10 red balls, 5 blue balls, and 15 green balls. If you randomly pick one ball from the box without looking, what is the probability that it is either a red ball or a blue ball?"} {"instruction": "A chat. In a class of 40 students, 12 students play football, 18 students play basketball and 5 students play both games. How many students don't play either game? Show your work."} {"instruction": "A chat. A factory produces 500 units of product A and 700 units of product B every day. Product A requires 2 hours of labor per unit, while product B requires 3 hours of labor per unit. If there are 8 working hours in a day, how many workers does the factory need to meet daily production requirements?"} {"instruction": "A chat. A logistics company needs to optimize its delivery routes to minimize transportation costs and improve efficiency. They currently operate a fleet of 100 trucks, each capable of carrying up to 20 tons of cargo. The company delivers goods to 500 locations daily, with an average distance of 150 miles between the warehouse and delivery points. Each truck consumes diesel fuel at a rate of 6 miles per gallon, and the cost of diesel is $3 per gallon. Calculate the current daily fuel consumption and estimate potential savings if they can reduce the average distance traveled by 10% through route optimization."} {"instruction": "A chat. If you have a rectangular garden that is 15 meters long and 8 meters wide, how many square meters of grass do you need to cover it completely?"} {"instruction": "A chat. A store sells two types of candies. Candy A costs $2 per pound and candy B costs $3 per pound. If a customer buys a total of 5 pounds of candy with a combined cost of $11, how many pounds of each type of candy did they buy?"} {"instruction": "A chat. Calculate: ((7 * 4)^2 - 5^3) / (9 - 6)"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. It takes 6 hours for the train to travel half the distance between the two towns. How long does it take for the train to travel the entire distance between Town A and Town B?"} {"instruction": "A chat. Solve: (4x + 2) / 2 = 6"} {"instruction": "A chat. If a store sells an item at a 25% discount and still makes a profit of 20%, what was the original cost of the item to the store?"} {"instruction": "A chat. You have a 200-page book. You open the book randomly and the sum of the numbers on the two facing pages is 282. What are those page numbers? Provide your logic."} {"instruction": "A chat. If an ant walks 3 cm per second, how long will it take to travel around the Earth?"} {"instruction": "A chat. Five people participated in a race. John finished before Alice but after David. Emily finished before Charles but after Alice. Who finished first, second, third, fourth, and fifth?"} {"instruction": "A chat. There are 5 houses in a row, each painted with a different color. The green house is immediately to the left of the white house. The red house is in the middle. The blue house is next to the yellow house but not next to the red house. What is the order of the colors from left to right?"} {"instruction": "A chat. A triangle has a base of 12 centimeters and a height of 5 centimeters. What is the area of the triangle in square centimeters?"} {"instruction": "A chat. A car rental company has a fleet of 50 cars. Each car is rented out for an average of 20 days per month. How many total rental days does the company generate in a year?"} {"instruction": "A chat. A train travels from City A to City B in 6 hours. Another train travels from City B to City C in 8 hours. If both trains travel at the same speed, which distance is longer: from City A to City B or from City B to City C?"} {"instruction": "A chat. If a car travels at a constant speed of 45 miles per hour, how far will it travel in 2.5 hours?"} {"instruction": "A chat. There are 5 apples on the table. Tom takes away 2 apples, and Jane takes away 1 apple. How many apples does Tom have?"} {"instruction": "A chat. In a group of 100 people, 70 have read book A, 50 have read book B, and 20 have read both books. How many people have read neither book?"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour for 3 hours, then slows down to an average speed of 40 miles per hour for the next 2 hours. What is the total distance traveled by the train?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed. Halfway through the journey, it stops for 10 minutes. If the entire trip takes 2 hours and 20 minutes, how long would the trip take without the stop?"} {"instruction": "A chat. A factory produces 250 units of product A per hour and 400 units of product B per hour. How many hours will it take for the factory to produce 10,000 units of each product?"} {"instruction": "A chat. A bag contains 12 marbles, of which 6 are red, 4 are blue, and 2 are green. If you draw 3 marbles from the bag without replacement, what is the probability that you will get at least one marble of each color? Provide your logic."} {"instruction": "A chat. A water tank can hold 500 gallons of water. If a faucet fills the tank at a rate of 10 gallons per minute, how long will it take to fill the tank completely?"} {"instruction": "A chat. A hotel chain is evaluating its expansion strategy in a popular tourist destination. The company currently operates five hotels with a total of 1,000 rooms. To meet increasing demand, they plan to add three new hotels with an additional 600 rooms over the next three years. Calculate the required investment for land acquisition, construction, and furnishing of the new hotels, assuming an average cost of $150,000 per room. Also, estimate the potential revenue generated by the new properties, considering an average daily rate of $200 and an occupancy rate of 70%.\n"} {"instruction": "A chat. A company has 8 employees, and the management wants to form a committee of 3 people. How many different committees can be formed if two specific employees cannot serve together on the same committee?"} {"instruction": "A chat. A city's public transportation system includes buses, trams, and subways. They want to analyze the efficiency of each mode of transport in terms of passenger capacity and operating costs. Buses can carry up to 60 passengers, trams can carry up to 100 passengers, and subway trains can carry up to 1,000 passengers. Operating costs per mile are $10 for buses, $15 for trams, and $30 for subways. Determine the most cost-effective mode of transport for different routes, considering factors such as distance, passenger demand, and infrastructure investment.\n"} {"instruction": "A chat. A large supermarket chain wants to optimize its inventory management system by implementing a just-in-time (JIT) approach. They currently hold two weeks' worth of inventory at each store location. Calculate the potential savings in storage and transportation costs by reducing the inventory levels to one week's worth, considering factors like perishability, lead times, and stockouts. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A cylindrical water tank has a diameter of 12 feet and a height of 15 feet. What is the volume of the tank in cubic feet?"} {"instruction": "A chat. A factory produces 100 widgets per hour. After every 4 hours, it stops production for 1 hour to perform maintenance. If the factory operates for 24 hours, how many widgets are produced in total?"} {"instruction": "A chat. There are 25 red balls and 15 blue balls in a box. If you randomly pick one ball, replace it, and then pick another ball, what is the probability that both balls picked are red?"} {"instruction": "A chat. There are 4 houses in a row. The blue house is next to the red house, which is not next to the green house. The yellow house is at one end of the row and is not next to the blue house. What order are the houses in?"} {"instruction": "A chat. A store sells three types of pens - Pen A, Pen B, and Pen C. The cost of Pen A is $2, the cost of Pen B is $3, and the cost of Pen C is $4. If a customer buys a total of 15 pens for $50, how many of each type of pen did they purchase?"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 15 meters. What is the area of the garden in square meters? And what would be the perimeter of the garden in meters?"} {"instruction": "A chat. If a box holds 20 marbles and you have 125 marbles, how many boxes do you need? Show your working."} {"instruction": "A chat. A square garden has an area of 144 square meters. Along each side of the garden, there is a path with a width of 1 meter. What is the combined area of the paths?"} {"instruction": "A chat. Solve the following system of linear equations using substitution or elimination method:\nx + y = 7\n2x - y = 3\nProvide step-by-step reasoning.\n"} {"instruction": "A chat. In a class of 25 students, 12 are boys and 13 are girls. If a teacher randomly selects 5 students to form a group, what is the probability that the group will have exactly 3 boys and 2 girls?"} {"instruction": "A chat. There are 5 apples on the table. Alice takes 2 apples, and Bob takes 1 apple. How many apples does Charlie take?"} {"instruction": "A chat. A factory produces widgets at a cost of $5 per widget. The factory has fixed costs of $10,000 per month. If the factory sells each widget for $15, how many widgets must be sold in a month to break even?"} {"instruction": "A chat. A man has three daughters. Each daughter has one brother. How many children does the man have?"} {"instruction": "A chat. A farmer has 15 acres of land and wants to plant a mix of corn and soybeans. If he plants 3 acres of corn for every 2 acres of soybeans, how many acres of each crop will he plant?"} {"instruction": "A chat. In a small town, there are 10 houses on one side of the street and 15 houses on the other side. If each house has an even number of people living in it, does the total number of people living on the street have to be an even number?"} {"instruction": "A chat. Determine whether the following series converges or diverges: \u03a3(1/n^2) from n=1 to infinity. Explain your reasoning.\n"} {"instruction": "A chat. A train leaves Town A at 9 am traveling towards Town B at a speed of 60 mph. At the same time, another train leaves Town B traveling towards Town A at a speed of 90 mph. The distance between Town A and Town B is 300 miles. At what time will the trains pass each other?"} {"instruction": "A chat. Calculate the value of the expression: 4 * (6 - 2) / 2 + 3^2"} {"instruction": "A chat. There are 50 coins in a bag, consisting of only quarters and dimes. If the total value of the coins is $10, how many quarters are in the bag?"} {"instruction": "A chat. A baker uses 4 eggs to make 12 cupcakes. How many eggs will he use to make 60 cupcakes? Explain your thought process."} {"instruction": "A chat. ((4^2 - 1) * 6 + 12) / 3 ="} {"instruction": "A chat. A rectangular room has an area of 96 square meters and a perimeter of 40 meters. What are the dimensions of the room?"} {"instruction": "A chat. A farmer has a rectangular field that measures 300 meters by 500 meters. He wants to divide it into square plots with equal side lengths. What is the largest possible size for each square plot?"} {"instruction": "A chat. If you read 2 pages of a book every day, how many pages will you have read after one week? Include your reasoning."} {"instruction": "A chat. In a family, there are 5 children. The youngest child has the same number of brothers as sisters. How many brothers does the oldest child have?"} {"instruction": "A chat. An amusem*nt park is designing a new roller coaster with a height restriction of 48 inches for safety reasons. The park's management estimates that 70% of visitors will be tall enough to ride the roller coaster. On average, the park has 5,000 visitors per day during peak season. Calculate the number of riders per hour the roller coaster must accommodate to avoid long wait times, considering the park's operating hours are from 10 am to 10 pm. Additionally, estimate the number of roller coaster cars needed if each car can hold up to 6 passengers and takes 3 minutes to complete the ride.\n"} {"instruction": "A chat. If a store has 10% off on all items, and you have a coupon for an additional 20% off after the initial discount, how much would you pay for an item originally priced at $100?"} {"instruction": "A chat. You are given a standard deck of 52 playing cards. You draw five cards at random without replacement. What is the probability that you have drawn exactly one king?"} {"instruction": "A chat. A car rental company charges a flat fee of $20 per day plus 15 cents per mile driven. How much would it cost to rent a car for three days and drive 200 miles? Show your work.\n"} {"instruction": "A chat. A man gives half of his apples to his friend and then eats three himself. He now has five apples left. How many apples did he have initially?"} {"instruction": "A chat. Prove that if n is an odd integer, then n^2 is also odd."} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. The mayor announces that all the even-numbered houses will receive a gift and all the odd-numbered houses will have to pay a tax. However, house number 13 is exempt from this rule due to superstition. How many houses will receive a gift?"} {"instruction": "A chat. You have two ropes, each of which burns from one end to the other in exactly one hour. Both ropes burn at an uneven rate, meaning that half of the rope might burn in 10 minutes, while the other half takes 50 minutes. Using these two ropes, how can you measure exactly 45 minutes?"} {"instruction": "A chat. It takes 1 hour to mow a lawn using a single lawnmower. How long will it take to mow four lawns?"} {"instruction": "A chat. In a school, there are 120 students. Each student knows exactly 3 languages. Find out how many languages are known if every pair of languages is known by at least one student."} {"instruction": "A chat. A company has a fixed monthly cost of $10,000 and variable costs of $5 per unit produced. If they sell each unit for $15, how many units do they need to sell in order to break even?"} {"instruction": "A chat. There are 100 people in a room. 80 of them speak English, 70 speak Spanish, and 60 speak French. What is the minimum number of people who speak all three languages?"} {"instruction": "A chat. If you save $10 every week, how much money will you have saved after 3 years?"} {"instruction": "A chat. A train travels at a constant speed of 60 mph for 2 hours before stopping at a station for half an hour. After the stop, it continues its journey at a constant speed of 80 mph for another 3 hours. What is the train's average speed during the entire trip, including the stop?"} {"instruction": "A chat. A city is planning to revitalize its downtown area by creating a pedestrian-friendly zone with improved public spaces, retail outlets, and cultural attractions. They need to analyze foot traffic patterns, visitor demographics, and business performance in the area to determine the optimal layout and design features for the new zone. Provide a step-by-step plan for collecting and analyzing data from various sources, such as security cameras, surveys, and sales records, to inform the urban planning process."} {"instruction": "A chat. If a rectangular room has an area of 120 square meters and its length is twice its width, what are the dimensions of the room?"} {"instruction": "A chat. If a car travels at an average speed of 50 miles per hour for 3 hours and then increases its speed to 60 miles per hour for another 2 hours, how far has it traveled in total?"} {"instruction": "A chat. A factory produces 1000 widgets per day. Due to an increase in demand, they decide to increase production by 50%. However, after one week, they realize that 10% of the widgets produced are defective. How many non-defective widgets were produced in that week?"} {"instruction": "A chat. A farmer has a rectangular field with a length of 200 meters and a width of 100 meters. He wants to plant trees along the perimeter of the field, spacing them 10 meters apart. How many trees will he need?"} {"instruction": "A chat. A train travels at a constant speed from Town A to Town B, which are 120 miles apart. The train takes 2 hours to complete the journey. After reaching Town B, the train immediately returns to Town A without stopping or changing its speed. How long does it take for the train to travel from Town A to Town B and back again?"} {"instruction": "A chat. A farmer has a rectangular field with a length of 150 meters and a width of 80 meters. He wants to plant crops in rows that are evenly spaced 2 meters apart. How many rows can he plant?"} {"instruction": "A chat. John reads 2 pages of a book every day. After 10 days, he realizes that he has read 25% of the book. How many pages does the book have? Show your work."} {"instruction": "A chat. If you drive at an average speed of 60 mph for 2 hours and then increase your speed to 80 mph for another 3 hours, what is your total distance traveled?"} {"instruction": "A chat. An apple tree produces 200 apples in a season. Each apple weighs around 150 grams on average. What would be the total weight of all the apples from the tree in kilograms? Include your reasoning."} {"instruction": "A chat. A box contains 6 black pens, 4 blue pens, and 10 red pens. What is the probability of picking two pens of different colors if you pick one pen, keep it, and then pick another pen?"} {"instruction": "A chat. A company has 500 employees. The management decides to give each employee a 10% salary increase and hire an additional 50 employees. What is the total percentage increase in the company's payroll?"} {"instruction": "A chat. Calculate the area of a rectangle with a length of 12 meters and a width of 8 meters, showing your work.\n"} {"instruction": "A chat. Calculate the area under the curve y = x^2 from x = 0 to x = 5."} {"instruction": "A chat. If there are about 1 million ants for every human on Earth, how many ants would there be if the world population was 8 billion people?"} {"instruction": "A chat. A car factory produces 120 cars every day. If each car requires 4 tires, how many tires does the factory need per week? Explain your thought process."} {"instruction": "A chat. There are 3 red apples and 5 green apples in a basket. If you pick two apples at random without replacement, what is the probability that both apples are red?"} {"instruction": "A chat. A car rental company charges a flat fee of $20 for renting a car, plus an additional $0.15 per mile driven. How much would it cost to rent a car and drive it for 200 miles?"} {"instruction": "A chat. Three friends - Alice, Bob, and Carol - are playing a game where they take turns rolling a fair six-sided die. They start with Alice, then Bob, then Carol, and repeat the cycle. If Alice rolls a 6 on her third turn, what is the total number of die rolls that occurred before she rolled the 6?"} {"instruction": "A chat. In a class of 40 students, 60% prefer coffee and the rest prefer tea. If each student drinks an average of 2 cups per day, how many cups of coffee and tea are consumed by the entire class over a week?"} {"instruction": "A chat. A train travels at a constant speed of 60 km/h. It takes 10 minutes to travel between two stations without stopping. How long would it take for the train to travel the same distance if its speed was increased by 50%?"} {"instruction": "A chat. Prove that a connected graph with n vertices and n-1 edges is a tree."} {"instruction": "A chat. In a game, you have to choose between two doors. Behind one door is a prize, while behind the other door is nothing. You are told that either both signs are true or both signs are false. Door 1 has a sign saying \"The prize is behind this door,\" and Door 2 has a sign saying \"The prize is not behind this door.\" Which door should you choose?"} {"instruction": "A chat. If a train travels at an average speed of 60 miles per hour and needs to cover a distance of 480 miles, how long will it take for the train to reach its destination?"} {"instruction": "A chat. A shipping company needs to transport cargo containers from one port to another using a fleet of ships. Each ship has a maximum capacity of 1000 tons, and there are 15,000 tons of cargo to be transported. However, due to varying weather conditions, the actual carrying capacity of each ship may vary between 800 and 1200 tons. Determine the minimum and maximum number of ships needed to transport all the cargo, taking into account these variations. Explain your reasoning.\n"} {"instruction": "A chat. A shipping company is analyzing its cargo transport operations between two cities located 1,000 miles apart. The company uses trucks that can carry up to 40,000 pounds of cargo and travel at an average speed of 60 mph. Each truck consumes fuel at a rate of 6 miles per gallon. Given the current fuel price of $3.50 per gallon, calculate the total cost of transporting 200,000 pounds of cargo between the two cities. Consider additional costs such as driver wages, tolls, and vehicle maintenance in your calculation.\n"} {"instruction": "A chat. If a car travels at an average speed of 60 mph for 2 hours and then at an average speed of 80 mph for another 3 hours, what is the total distance covered?"} {"instruction": "A chat. If an ant can carry 50 times its own weight, and the ant weighs 2 milligrams, how much weight can the ant carry? Show your work."} {"instruction": "A chat. A group of people are planning a trip that will take 3 days. They need to rent cars for transportation. Each car can accommodate up to 5 passengers. If there are 23 people going on the trip, how many cars do they need to rent?"} {"instruction": "A chat. A factory produces 200 units of product A and 300 units of product B every day. Each unit of product A requires 2 hours to produce, while each unit of product B requires 3 hours. How many total hours are required to produce all the units in a day?"} {"instruction": "A chat. A large hospital needs to plan its staffing for nurses over the next year. The hospital currently employs 1,000 nurses, but expects a 15% annual turnover rate due to retirements and job changes. Additionally, they anticipate a 10% increase in patient volume requiring additional nursing staff. Calculate the number of new nurses the hospital needs to hire, considering both turnover and increased patient volume. Explain your reasoning.\n"} {"instruction": "A chat. In a certain city, there are 120,000 registered voters. If 60% of them vote in an election, what percentage of the total votes would a candidate need to win if they require at least 50% + 1 vote of those who voted?"} {"instruction": "A chat. A bag contains 5 red balls and 7 blue balls. If you randomly pick two balls from the bag without replacement, what is the probability that both balls are red?"} {"instruction": "A chat. If you have a rectangular garden that measures 20 feet by 30 feet and you want to plant flowers every 2 square feet, how many flowers will you need?"} {"instruction": "A chat. A factory produces 500 units of a product every day. If each unit is sold for $20 and the factory has fixed costs of $2000 per day, how much profit does the factory make in one week?"} {"instruction": "A chat. In a town, there are three barbershops. Each barber charges a different price for a haircut. The first barber charges $20, the second barber charges $30, and the third barber charges $40. If every customer in the town goes to one of these barbershops, which barber will make the most money?"} {"instruction": "A chat. If it takes 6 workers 12 days to complete a job, how long would it take 9 workers to complete the same job?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes exactly 6 hours for the train to travel between Town A and Town B. Due to some technical issues, the train has to stop at Station X, which is located exactly halfway between Town A and Town B. How long does it take for the train to travel from Town A to Station X?"} {"instruction": "A chat. A sequence is defined by the recursive formula an = 3an-1 - 2, with a1 = 5. What is the value of a4?"} {"instruction": "A chat. In a group of 20 people, there are 15 who can speak English and 10 who can speak French. Among those who can speak both languages, the number of men is twice the number of women. If there are 5 people in the group who cannot speak either language, how many men can speak both English and French? Provide step-by-step logic."} {"instruction": "A chat. In a bag, there are 10 red balls, 20 blue balls, and 30 green balls. If you randomly pick one ball at a time without replacing it, what is the minimum number of balls you must pick to guarantee that you have at least 3 balls of the same color?"} {"instruction": "A chat. A square garden has an area of 256 square feet. What is the length of each side of the garden?"} {"instruction": "A chat. A rectangular garden has a length of 12 meters and a width of 6 meters. What is the perimeter of the garden?"} {"instruction": "A chat. You are facing north and turn 90 degrees to your right. Then you turn 180 degrees to your left. In which direction are you facing now?"} {"instruction": "A chat. If a solar power plant generates electricity at an average rate of 5 megawatts (MW) per hour and operates for 10 hours each day, how much energy does it produce in a year?"} {"instruction": "A chat. What is the sum of all the even integers from 10 to 50 inclusive?"} {"instruction": "A chat. A car travels at an average speed of 60 miles per hour for 5 hours. How far does it travel during that time?"} {"instruction": "A chat. If a bacteria colony doubles in size every 3 hours, how many times larger will it be after 1 day?"} {"instruction": "A chat. There are 12 months in a year. Some months have 31 days, some have 30 days and February has either 28 or 29 days. On average, how many days does a month have? Provide step-by-step logic."} {"instruction": "A chat. There are 100 people in a room. 40% of them are wearing glasses, and 30% of those wearing glasses also have a hat on. How many people are wearing both glasses and a hat?"} {"instruction": "A chat. A group of friends wants to rent a boat for a day. The rental company charges $100 for the first hour and $50 for each additional hour. If they want to rent the boat for 6 hours, how much will it cost?"} {"instruction": "A chat. A factory has three machines that produce items at different rates. Machine A produces 10 items per hour, machine B produces 15 items per hour, and machine C produces 20 items per hour. If all three machines operate for 6 hours, how many total items are produced?"} {"instruction": "A chat. If there are approximately 400 billion stars in our galaxy, and about 20% of them have planets orbiting them, how many stars have planets?"} {"instruction": "A chat. In a group of people, 40% are wearing glasses, 60% are wearing hats, and 20% are wearing both glasses and hats. What percentage of the group is not wearing either glasses or hats?"} {"instruction": "A chat. Five friends went to a party. Each friend shook hands with every other friend exactly once. How many handshakes took place?"} {"instruction": "A chat. In a small town, there are 4 families. Each family has at least one child. The Smiths have twice as many children as the Johnsons. The Browns have three more children than the Johnsons. The total number of children in all four families is 16. How many children do the Johnsons have?"} {"instruction": "A chat. A national park plans to build a network of hiking trails covering a total distance of 200 miles. The park's terrain varies from flat to steep inclines, affecting the cost of trail construction. On average, it costs $10,000 per mile for flat terrain and $20,000 per mile for steep inclines. The park's budget for this project is $3 million. Determine the optimal mix of flat and steep trails to maximize the total distance covered within the budget constraints.\n"} {"instruction": "A chat. There are 5 cats in a room, each cat catches 4 mice. If there are no more mice left in the room, how many legs are there in total?"} {"instruction": "A chat. In a school election, candidate A received 55% of the votes, while candidate B received 35%. The remaining 10% were either invalid or blank votes. If there were a total of 800 votes cast, how many more votes did candidate A receive than candidate B?"} {"instruction": "A chat. In a small town, there are 10 houses on one side of the street and 15 houses on the other side. If every house has at least one dog, and the total number of dogs in all the houses is 40, can we determine which side of the street has more dogs?"} {"instruction": "A chat. A group of friends went on a trip and decided to split the cost evenly among themselves. If there were 3 more friends in the group, each person would have paid $20 less. However, if there were 2 fewer friends in the group, each person would have paid $30 more. How many friends are in the group?"} {"instruction": "A chat. A factory produces 500 units of a product per day. Each unit costs $20 to produce and is sold for $45. What is the profit generated by the factory in one year?"} {"instruction": "A chat. A gardener plants flowers in rows. Each row has 7 flowers. If he plants a total of 49 flowers, how many rows does he have?"} {"instruction": "A chat. A factory produces 2000 units of product A and 3000 units of product B in one day. If each unit of product A sells for $15 and each unit of product B sells for $10, what is the daily revenue generated by the factory?"} {"instruction": "A chat. In a school, there are 200 students. Half of them play soccer, one-third of them play basketball, and the rest play volleyball. How many students play volleyball?"} {"instruction": "A chat. There are 120 birds on a tree. If half of them fly away every hour, how many birds will remain on the tree after 3 hours?"} {"instruction": "A chat. A film production company wants to shoot a movie in various locations around the world. They have a budget of $30 million for the entire project. The estimated cost breakdown includes $10 million for cast salaries, $8 million for crew salaries, $6 million for equipment rental, and $4 million for location permits. Additionally, they need to account for travel expenses, accommodation, and daily allowances for the cast and crew. Assuming there are 50 cast members and 200 crew members, calculate the average amount available per person for these additional expenses. Explain your reasoning.\n"} {"instruction": "A chat. In a small town, there are 3 doctors and 2 barbers. Each doctor has twice as many patients as each barber has customers. If the total number of people in the town is 150 (including the doctors and barbers), how many customers does one barber have?"} {"instruction": "A chat. A box contains 5 red balls, 4 blue balls, and 6 green balls. If you randomly pick three balls from the box without replacement, what is the probability that you will get at least one ball of each color?"} {"instruction": "A chat. Solve: (5x^2 - 8) + 3(2x^2 + 4) ="} {"instruction": "A chat. A group of people consists of men, women, and children. There are twice as many women as there are men, and three times as many children as there are women. If there are a total of 66 people in the group, how many men, women, and children are there?"} {"instruction": "A chat. If a car travels at an average speed of 60 mph for 3 hours, then increases its speed to 75 mph for another 2 hours, what is the total distance traveled?"} {"instruction": "A chat. There are 6 friends at a party. They decide to play a game where everyone shakes hands with each other exactly once. How many handshakes will occur during the game?"} {"instruction": "A chat. If a car rental company has 120 cars in its fleet, and the ratio of sedans to SUVs is 3:2, how many more sedans does the company need to purchase to make the ratio 1:1?"} {"instruction": "A chat. There are 25 people in a room. Each person shakes hands with every other person exactly once. How many handshakes occur?"} {"instruction": "A chat. There are 120 passengers on a train. If 75% of the passengers are women, how many more women than men are there on the train?"} {"instruction": "A chat. A company's revenue is increasing at a constant rate of 8% per month. If the company's revenue in January was $50,000, what will be its revenue in December of the same year?"} {"instruction": "A chat. A train leaves a station at 9 AM traveling east at 60 mph. Another train leaves the same station at 11 AM traveling west at 80 mph. At what time will they be 420 miles apart?"} {"instruction": "A chat. A store sells bags of candy with a regular price of $12 per bag. During a sale, the store offers a discount of 25% off the regular price. If a customer buys 8 bags during the sale, how much will they save compared to buying at the regular price?"} {"instruction": "A chat. A car travels at an average speed of 45 miles per hour for 2.5 hours. How far does the car travel in miles?"} {"instruction": "A chat. If a car travels at an average speed of 50 miles per hour, how long will it take to cover a distance of 300 miles?"} {"instruction": "A chat. In a group of people, 40% are wearing glasses, and 30% are wearing hats. Of those wearing glasses, 25% are also wearing hats. What percentage of the group is wearing both glasses and hats?"} {"instruction": "A chat. In a town, 1/3 of the population are vegetarians. Among the vegetarians, 2/5 are men. What fraction of the entire population are vegetarian men?"} {"instruction": "A chat. In a village, there are 20 houses and each house has 4 windows. One day, a storm broke half of the windows in every house. How many broken windows need to be fixed?"} {"instruction": "A chat. In a certain city, 40% of the population are vegetarians, and 25% of the vegetarians are also vegans. What percentage of the population are vegan vegetarians?"} {"instruction": "A chat. In a class of 40 students, there are twice as many girls as boys. How many more girls need to join the class so that the number of girls becomes three times the number of boys?"} {"instruction": "A chat. Five friends went out for dinner and decided to split the bill evenly. If the total bill was $125 and one friend forgot their wallet, how much does each person who pays need to contribute?"} {"instruction": "A chat. A factory produces 200 units of a product per day. Due to an increase in demand, they decide to increase production by 10% each day for five days. How many units will be produced on the fifth day?"} {"instruction": "A chat. A car rental company has a fleet of 200 cars, with 60% being sedans, 30% being SUVs, and the remaining 10% being luxury vehicles. How many more sedans are there than luxury vehicles in the fleet?"} {"instruction": "A chat. There are 12 birds sitting on a fence. If half of them fly away, then two more join the remaining birds, and finally one-third of the total number of birds flies away, how many birds are left on the fence?"} {"instruction": "A chat. In a class of 30 students, 18 are girls. What percentage of the class is made up of boys? Explain your reasoning."} {"instruction": "A chat. A logistics company is planning to expand its delivery services to rural areas. They estimate that there are 1,000 potential customers in these areas who would use their service once a month on average. The company charges $25 per delivery, but needs to invest in additional vehicles and drivers to cover the expanded area. Each vehicle costs $40,000, and hiring a driver costs $35,000 per year. Calculate the number of vehicles and drivers needed to meet the demand, and determine the break-even point for the company's expansion plan.\n"} {"instruction": "A chat. If all cats have tails, and Fluffy has a tail, is Fluffy a cat?"} {"instruction": "A chat. An online retailer wants to expand its warehouse capacity to accommodate increasing demand. The current warehouse covers an area of 100,000 square feet and can store up to 1 million items. The company aims to double its storage capacity within three years. Calculate the additional warehouse space required, assuming the same item density per square foot, and estimate the cost of constructing the new warehouse if the construction cost is $200 per square foot.\n"} {"instruction": "A chat. If a car factory produces 15 cars every hour, how many cars will it produce in a year? Reason step-by-step."} {"instruction": "A chat. A large corporation plans to host a three-day conference for its employees. There are 2,000 attendees expected, and the company must arrange accommodations, meals, and transportation. The hotel charges $150 per night per room, and each room can accommodate two people. Meals cost $50 per person per day, and transportation fees amount to $75 per attendee for the duration of the conference. Calculate the total cost of the event and provide step-by-step reasoning.\n"} {"instruction": "A chat. A factory produces 1000 widgets every day. Due to increased demand, the factory increases its production by 50% on Mondays. How many widgets does the factory produce over a week?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 80 km/h. It takes 4 hours to reach Town B. On its way back to Town A, the train increases its speed by 20%. How long does it take for the train to travel back to Town A?"} {"instruction": "A chat. A train travels from Town A to Town B and back to Town A. The trip from Town A to Town B takes 2 hours, while the return trip takes 3 hours due to an increase in wind resistance. What is the average speed of the entire round trip?"} {"instruction": "A chat. If a cylindrical container has a radius of 5 cm and a height of 12 cm, what is its volume?"} {"instruction": "A chat. A train leaves from Station A at 9:00 AM and travels at a constant speed of 60 miles per hour. Another train leaves from Station B, which is 120 miles away from Station A, at 10:00 AM and travels toward Station A at a constant speed of 90 miles per hour. At what time will the two trains meet?"} {"instruction": "A chat. A recipe calls for 2 cups of sugar to make 24 cookies. How many cups of sugar are needed to make 72 cookies?"} {"instruction": "A chat. If a person saves 5% of their monthly income and earns $4,000 per month, how much will they have saved after one year?"} {"instruction": "A chat. There are 5 apples and 7 oranges in a basket. John takes out 3 apples and 4 oranges. How many fruits are left in the basket?"} {"instruction": "A chat. Tom is twice as old as his sister Sarah. Their combined age is equal to the number of windows in their house. If there are 36 windows in their house, how old is Sarah?"} {"instruction": "A chat. In a group of people, there are 20 who can speak English, 15 who can speak French, and 10 who can speak both English and French. If everyone in the group can speak at least one of these languages, how many people are in the group? Provide step-by-step logic."} {"instruction": "A chat. A national park is planning to build a network of hiking trails covering a total distance of 100 miles. The trails will be divided into three difficulty levels: easy, moderate, and difficult. Easy trails should make up at least 40% of the total distance, while difficult trails cannot exceed 20%. Calculate the possible combinations of trail distances for each difficulty level that meet these requirements. Provide step-by-step reasoning.\n"} {"instruction": "A chat. There are 50 states in the USA. Each state shares a border with at least one other state. What is the minimum possible number of borders shared among all the states? Reason step-by-step."} {"instruction": "A chat. Use the method of characteristics to solve a first-order partial differential equation."} {"instruction": "A chat. A car rental company has 20 cars available for rent. Of these, 8 are compact cars, 6 are sedans, and 6 are SUVs. If a customer selects a car at random, what is the probability that they choose either a sedan or an SUV?"} {"instruction": "A chat. An international shipping company plans to expand its operations by increasing the number of cargo ships in its fleet. The company currently owns 20 ships, each with a carrying capacity of 10,000 tons. They aim to double their overall capacity within five years. Calculate the number of new ships required, assuming each new ship will have a carrying capacity of 12,000 tons. Additionally, estimate the investment needed if each new ship costs $30 million.\n"} {"instruction": "A chat. A password consists of 3 digits followed by 4 letters. If repetition is allowed, how many different passwords can be created? Explain your thought process."} {"instruction": "A chat. There are four people in a room - Alice, Bob, Carol, and David. Alice always tells the truth, Bob always lies, Carol sometimes tells the truth and sometimes lies, and David's statements are completely random. They make the following statements:\n\nAlice: \"David said he is a liar.\"\nBob: \"Carol told me she is a truth-teller.\"\nCarol: \"I am a liar.\"\nDavid: \"Alice is a liar.\"\n\nWho should you trust most based on these statements?"} {"instruction": "A chat. Show that the set of all even integers is countably infinite."} {"instruction": "A chat. A rectangular room has an area of 200 square meters. If the length of the room is 5 meters more than twice its width, what are the dimensions of the room?"} {"instruction": "A chat. There are 8 people in a room. Each person shakes hands with every other person exactly once. How many handshakes occur in total?"} {"instruction": "A chat. If there are 7 billion people on Earth and the average person blinks about 15 times per minute, how many times do all humans blink collectively in one hour? Break down your reasoning."} {"instruction": "A chat. In a class of 30 students, 18 students passed the math exam and 22 students passed the science exam. If 12 students passed both exams, how many students failed both exams?"} {"instruction": "A chat. A logistics company is planning to expand its delivery fleet by purchasing new trucks. Each truck can carry up to 20 tons of cargo and costs $100,000 to purchase. The company currently operates 100 trucks and delivers an average of 2,000 tons of cargo per day. In order to meet increasing demand, they need to increase their daily capacity by 50%. Calculate the number of additional trucks required, taking into account potential future growth in demand, and provide step-by-step reasoning.\n"} {"instruction": "A chat. A store offers a discount on bulk purchases of apples. The price per pound decreases by 2% for every additional pound purchased, up to a maximum discount of 20%. How many pounds must be purchased to receive the maximum discount?"} {"instruction": "A chat. In a certain city, there are 100,000 households. Out of these households, 60% have at least one pet. If 80% of pet-owning households have dogs, how many dog-owning households are there in the city?"} {"instruction": "A chat. In a family of 6 children, there are 3 boys and 3 girls. Each child has exactly one brother named John. How many Johns are in the family?"} {"instruction": "A chat. In a group of 20 people, everyone either has brown eyes or blue eyes. If at least one person has brown eyes, and every person with brown eyes knows someone else with brown eyes, how many people have blue eyes?"} {"instruction": "A chat. A train leaves Station A traveling east at 60 mph. At the same time, another train leaves Station B traveling west toward Station A at 40 mph. The distance between Station A and Station B is 500 miles. How far apart are the trains after 3 hours?"} {"instruction": "A chat. If you have a cylindrical container with a radius of 4 cm and a height of 10 cm, what is the volume of the container?"} {"instruction": "A chat. Alice, Bob, and Carol are siblings. Alice is older than Bob but younger than Carol. If the sum of their ages is 60, and Alice's age is half the sum of Bob's and Carol's ages, how old are they?"} {"instruction": "A chat. In a certain city, 60% of the population are adults, and 40% are children. If there are 240,000 people in the city, how many adults and children are there?"} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. The mayor decides to paint all the even-numbered houses blue and all the odd-numbered houses red. However, due to an error in communication, house number 50 is painted red instead of blue. How many houses are painted blue?"} {"instruction": "A chat. If it takes 3 painters 4 hours to paint a room and each painter works at the same rate, how long would it take for 6 painters to paint the same room?"} {"instruction": "A chat. Determine the limit as x approaches infinity for the function f(x) = (3x^2 - 5x + 1)/(x^2 + 4). Provide step-by-step reasoning.\n"} {"instruction": "A chat. Find the arc length of the curve y = (1/3)x^3 from x=0 to x=2"} {"instruction": "A chat. In a standard deck of 52 playing cards, what is the probability of drawing a pair of cards with the same value (e.g., two Aces, two 5s, etc.)?"} {"instruction": "A chat. A company has an annual revenue of $2,500,000 and spends 40% on salaries, 25% on rent, and 15% on marketing. How much money is left for other expenses or profit?"} {"instruction": "A chat. There are 12 people in a room, including you. Everyone shakes hands with everyone else exactly once. How many handshakes occur in total?"} {"instruction": "A chat. In a village, there are 100 houses. The first house has one light bulb, the second house has two light bulbs, the third house has three light bulbs, and so on until the 100th house which has 100 light bulbs. If every odd-numbered house turns off all their light bulbs, how many light bulbs will be turned off?"} {"instruction": "A chat. Solve: ((3^2 - 4) / 5 + 1)^2 - 3 * 2 ="} {"instruction": "A chat. If a farmer has 5 chickens, each laying 3 eggs per day, how many eggs will the farmer have after one week?"} {"instruction": "A chat. Show that the function f(x) = x^3 - 3x + 2 is continuous everywhere."} {"instruction": "A chat. A tank contains a mixture of water and alcohol in a ratio of 3:5. If 10 gallons of the mixture are removed and replaced with pure water, the new ratio becomes 1:1. What was the initial volume of the tank?"} {"instruction": "A chat. A company has an annual operating cost of $500,000. The company sells a product for $100 per unit and has a variable cost of $60 per unit. How many units must the company sell to break even?"} {"instruction": "A chat. If a person saves 5% of their monthly income for the first year, and then increases their savings by 2% each subsequent year, how much will they have saved after 10 years if their monthly income is $4,000?"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour for 4 hours. How far does it travel? Explain your reasoning.\n"} {"instruction": "A chat. In a group of 120 people, 75% are vaccinated against a certain disease. How many more people need to be vaccinated in order to reach a vaccination rate of 90% within the group?"} {"instruction": "A chat. In a city with a population of 500,000 people, 40% own cars. If one car produces an average of 4 tons of CO2 emissions per year, how many tons of CO2 emissions are produced by cars in this city annually?"} {"instruction": "A chat. A bag contains 8 white marbles, 4 black marbles, and 3 green marbles. You randomly pick one marble, then put it back and pick another marble. What is the probability that you picked a white marble followed by a black marble?"} {"instruction": "A chat. In a family of 6 people, each person has a different number of books. Alice has more books than Bob, who has more books than Carol. Does Carol have the least number of books among all six family members?"} {"instruction": "A chat. There are 4 cats in a room. Each cat has 4 legs and 2 ears. How many legs and ears are there in total?"} {"instruction": "A chat. In a classroom, there are 25 students. If 16 students have brown eyes and the rest have blue eyes, what fraction of the students have blue eyes?"} {"instruction": "A chat. A farmer has a rectangular field that is 300 meters long and 200 meters wide. He wants to plant crops in rows with a spacing of 2 meters between each row. How many rows can he plant?"} {"instruction": "A chat. There are three bags labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" Each bag contains only apples or oranges. However, all the bags are labeled incorrectly. Without looking inside, you can take out one fruit from any bag. What is the minimum number of fruits you need to take out to correctly label all the bags?"} {"instruction": "A chat. In a small town, there are 5 houses in a row. Each house is painted a different color and has a person of a different nationality living in it. The Englishman lives in the red house. The Spaniard owns a dog. Coffee is drunk in the green house. The Ukrainian drinks tea. The green house is immediately to the right of the ivory house. The man who eats snails lives in the yellow house. Milk is drunk in the middle house. The Norwegian lives in the first house. The man who keeps horses lives next to the one who smokes Dunhill. The man who smokes Blends lives next to the one who keeps cats. The man who smokes Pall Mall keeps birds. The German smokes Prince. The Norwegian lives next to the blue house. The man who smokes Blends has a neighbor who drinks water. Who owns the fish?"} {"instruction": "A chat. A factory produces 200 units of product A every day. How many units are produced in a month with 30 days?"} {"instruction": "A chat. In a class of 30 students, 18 are girls and 12 are boys. If the teacher randomly selects one student to be the class representative, what is the probability that the chosen student is a girl?"} {"instruction": "A chat. In a family of five siblings, three of them are boys, and two are girls. Each sibling has one favorite color, but no two siblings share the same favorite color. How many possible combinations of favorite colors are there for the three boys if there are 7 different colors to choose from?"} {"instruction": "A chat. There are three bags labeled A, B, and C. Bag A contains 3 red balls and 4 blue balls. Bag B contains 5 red balls and 3 green balls. Bag C contains 6 blue balls and 2 yellow balls. If you pick one ball from each bag, what is the probability that you will have exactly one red ball?"} {"instruction": "A chat. A factory produces 150 units of a product every day. The factory operates for 20 days per month and sells each unit for $25. What is the monthly revenue generated by the factory?"} {"instruction": "A chat. A factory produces 450 units of product A per day and 300 units of product B per day. The profit margin on each unit of product A is $12, while the profit margin on each unit of product B is $20. How much total profit does the factory make in one week (assuming 7 days)?"} {"instruction": "A chat. Determine the probability of drawing an ace from a standard deck of playing cards (52 cards). Explain your calculations.\n"} {"instruction": "A chat. A hospital is evaluating its emergency response times during peak hours. They have data on the average time it takes for an ambulance to reach the scene (15 minutes), the time spent at the scene (10 minutes), and the travel time back to the hospital (12 minutes). The hospital has six ambulances available during peak hours. Determine how many patients can be attended to within a four-hour window, assuming no delays or additional factors, and explain your reasoning.\n"} {"instruction": "A chat. A book has 200 pages. If you read 25 pages per day, how many days will it take to finish the book? Explain your reasoning."} {"instruction": "A chat. A rectangular garden has a length of 10 meters and a width of 6 meters. What is the diagonal distance from one corner of the garden to the opposite corner?"} {"instruction": "A chat. In a family of 5 children, the oldest child is twice as old as the youngest. The second oldest child is half the age of the oldest, and the third oldest is one year younger than the second oldest. The fourth oldest is two years older than the youngest. How old is the youngest child if the sum of all their ages is 30?"} {"instruction": "A chat. In a population study, researchers find that the growth rate of a certain species of fish follows a logistic model. Derive the logistic differential equation and explain its significance in modeling population growth.\n"} {"instruction": "A chat. In a class of 30 students, 18 play soccer, 20 play basketball, and 22 play volleyball. Some students play all three sports. If every student plays at least one sport, how many students play all three sports?"} {"instruction": "A chat. There are three boxes labeled A, B, and C. One box contains only apples, another box contains only bananas, and the third box contains both apples and bananas. All the labels are incorrect. You can pick one fruit from any box without looking inside. How many fruits do you need to pick to correctly label all the boxes?"} {"instruction": "A chat. If a cone has a radius of 3 cm and a height of 5 cm, what is its surface area in square centimeters?"} {"instruction": "A chat. A rectangular garden has a length of 25 meters and a width of 18 meters. If a gardener wants to plant flowers along the entire perimeter of the garden, with one flower every meter, how many flowers will they need?"} {"instruction": "A chat. In a school, there are 120 students in grade 8 and 140 students in grade 9. If 60% of grade 8 students and 70% of grade 9 students pass an exam, how many students passed the exam in total?"} {"instruction": "A chat. There are 4 boxes, each containing a different number of apples. Box A has more apples than box B but fewer apples than box C. Box D has the least number of apples. If we know that box B contains 5 apples and box C contains 10 apples, which box could contain 7 apples?"} {"instruction": "A chat. A cube has a side length of 6 cm. What is the total surface area of the cube?"} {"instruction": "A chat. A mining company is exploring the feasibility of extracting valuable minerals from a remote area with limited infrastructure. The deposit contains an estimated 1 million tons of ore, which would require significant investments in transportation, processing facilities, and workforce housing. Calculate the break-even price per ton needed to cover these costs and generate a return on investment of at least 20%. Also, consider the environmental impact of the mining operation and propose measures to mitigate any negative effects."} {"instruction": "A chat. In a group of 30 people, 18 have cats and 12 have dogs. If 8 people have both cats and dogs, how many people have neither cats nor dogs?"} {"instruction": "A chat. A train travels from City A to City B at an average speed of 60 miles per hour. It then returns to City A at an average speed of 90 miles per hour. What is the train's average speed for the entire round trip?"} {"instruction": "A chat. A restaurant serves 150 customers per day on average. Each customer orders a meal that costs $12 and a drink that costs $3. What is the total revenue generated by the restaurant in one week?"} {"instruction": "A chat. If you have a rectangular prism with a length of 6 inches, a width of 4 inches, and a height of 3 inches, what is its surface area in square inches?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding new bus routes and increasing the frequency of buses on existing routes. The current system has 20 bus routes, with an average of 10 buses per route running every 30 minutes from 6 AM to 10 PM daily. The proposed plan aims to increase the number of routes to 25 and reduce the waiting time between buses to 20 minutes. Calculate the total number of additional buses required for this expansion, considering that each bus takes 2 hours to complete a round trip on its route. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A car traveling at 60 miles per hour takes 2 hours to reach its destination. How far is the destination in miles?"} {"instruction": "A chat. If a sequence is defined recursively as follows: a(1) = 3, a(n) = 2a(n-1) + 1 for n > 1, what is the value of a(5)?"} {"instruction": "A chat. If a train travels at an average speed of 80 kilometers per hour and needs to cover a distance of 320 kilometers, how long will it take for the train to reach its destination?"} {"instruction": "A chat. In a room, there are 5 cats. Each cat catches 4 mice in an hour. However, for every mouse caught by the cats, two more mice enter the room. How many mice will be in the room after one hour if there were initially 10 mice?"} {"instruction": "A chat. In a village, every person has either a cat or a dog as a pet. If there are 50 cats and 30 dogs, how many people live in the village?"} {"instruction": "A chat. In a room, there are 10 people. Each person has an equal number of friends among the other people in the room. If we know that no one is friends with themselves and each friendship is mutual (if A is friends with B, then B is also friends with A), what is the maximum number of friends any person can have?"} {"instruction": "A chat. In a certain city, every cat has 3 kittens and every dog has 4 puppies. If there are 20 cats and dogs combined and they have 70 offspring in total, how many cats are there? Reason step-by-step."} {"instruction": "A chat. Calculate the Fourier transform of the function h(t) = e^(-t), for t > 0 and h(t) = 0, for t < 0. Provide a detailed explanation.\n"} {"instruction": "A chat. A farmer has chickens and rabbits on his farm. He counts a total of 50 heads and 134 legs. How many chickens and rabbits does he have?"} {"instruction": "A chat. ((8 - 3)^2 + (9 / 3) - 1) * 5 ="} {"instruction": "A chat. In a class of 30 students, 6 students wear glasses. What proportion of the class wears glasses? Provide step-by-step logic."} {"instruction": "A chat. In a village, every person has either a cat or a dog as a pet. If there are 60 legs in total among all the pets, how many cats and dogs are there?"} {"instruction": "A chat. If a rectangle's length is twice its width, and its perimeter is 36 meters, what is the area of the rectangle?"} {"instruction": "A chat. A restaurant has 15 tables with four seats each and 10 tables with six seats each. If the restaurant operates at full capacity, how many customers can it accommodate?"} {"instruction": "A chat. A square garden has a side length of 10 meters. If you walk around the perimeter of the garden, how much farther do you walk than if you walked diagonally across the garden?"} {"instruction": "A chat. A rectangular garden measures 25 feet by 40 feet. What is the area of the garden in square yards?"} {"instruction": "A chat. If a farmer has 20 acres of land and wants to divide it into rectangular plots with the longest side being twice as long as the shortest side, what are the dimensions of each plot?"} {"instruction": "A chat. If you were to walk around the Earth's equator at a constant speed of 3 miles per hour, how long would it take you to complete the journey?"} {"instruction": "A chat. A company has 150 employees and plans to increase its workforce by 20%. How many new employees will be hired?"} {"instruction": "A chat. A factory produces three types of widgets: Type A, Type B, and Type C. Each widget has a unique serial number. The factory produced 500 Type A widgets, 300 Type B widgets, and 200 Type C widgets. If you randomly select a widget from the production line, what is the probability that it will be either a Type A or Type C widget with an even serial number? Explain your reasoning."} {"instruction": "A chat. A population of bacteria doubles every 4 hours. If there are initially 100 bacteria, how many will there be after 24 hours?"} {"instruction": "A chat. In a bag of marbles, there are 4 red marbles, 6 blue marbles, and 5 green marbles. If you randomly pick one marble from the bag, what is the probability of picking a red or a blue marble?"} {"instruction": "A chat. A student needs an average of at least 85% on their four exams to pass a course. If they scored 90%, 82%, and 78% on their first three exams, what is the minimum score they need on their fourth exam to pass?"} {"instruction": "A chat. A factory produces 200 units of product A and 300 units of product B every hour. If product A sells for $10 per unit and product B sells for $15 per unit, what is the total revenue generated after 8 hours of production?"} {"instruction": "A chat. In a town, there are 10 houses on one side of the street and 15 houses on the other side. If every house has at least one dog, and the total number of dogs in all the houses is 40, how many houses have more than one dog?"} {"instruction": "A chat. There are 4 boxes labeled A, B, C, and D. Each box contains a different number of apples, ranging from 1 to 4. Box A has more apples than Box B, and Box C has fewer apples than Box D. If we know that the total number of apples in all four boxes is 10, how many apples does each box contain?"} {"instruction": "A chat. (5 * 4^2 - 8) / (3 * 2 + 1)"} {"instruction": "A chat. A store sells two types of candy bars. Type A weighs 120 grams and contains 60% chocolate, while type B weighs 150 grams and contains 40% chocolate. How many candy bars of each type must be combined to create a mixture that weighs 1,200 grams and contains exactly 50% chocolate?"} {"instruction": "A chat. A company produces two types of products, A and B. The profit per unit for product A is $20, while the profit per unit for product B is $30. If the company wants to achieve a total profit of at least $10,000 by selling no more than 400 units in total, what is the minimum number of product B units they must sell?"} {"instruction": "A chat. If a train travels at an average speed of 80 kilometers per hour and it takes 5 hours to reach its destination, how many kilometers does it travel?"} {"instruction": "A chat. A store sells apples and oranges. The price of an apple is $0.50, and the price of an orange is $0.75. If a customer buys a combination of 10 apples and oranges for a total cost of $6.25, how many apples and oranges did they buy?"} {"instruction": "A chat. A box contains 8 red balls, 6 blue balls, and 4 green balls. If you randomly pick two balls without replacement, what is the probability that both balls will be red?"} {"instruction": "A chat. If you were to stack one million US pennies on top of each other, how tall would the stack be in feet? (Assume the thickness of a penny is 0.0598 inches)"} {"instruction": "A chat. The average person takes about 5,000 steps per day. How many steps would they take in one week if they maintain this average daily step count?"} {"instruction": "A chat. There are 5 red balls and 7 blue balls in a bag. You draw one ball at random, note its color, and put it back into the bag. Then you draw another ball. What is the probability that both balls drawn are of the same color?"} {"instruction": "A chat. A factory produces 1500 units of product A and 2000 units of product B every day. The price of product A is $10 per unit, and the price of product B is $15 per unit. How much revenue does the factory generate from both products in 30 days?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the two towns is 120 miles. If the train takes 2 hours to travel halfway and then increases its speed by 50% for the remaining half, how long does it take for the entire journey?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 km/h. The distance between the two towns is 180 km. If the train leaves Town A at 1 PM, what time will it arrive in Town B if it stops for 30 minutes at an intermediate station?"} {"instruction": "A chat. A car rental company charges $25 per day for renting a car and an additional 15 cents per mile driven. If a customer rents a car for 5 days and drives it for 300 miles, how much will they be charged?"} {"instruction": "A chat. Alice, Bob, and Carol each have a different number of apples. Alice has twice as many apples as Bob, and Carol has three times as many apples as Bob. If they have a total of 72 apples, how many apples does Bob have?"} {"instruction": "A chat. There are 5 houses in a row, each painted with a different color. The green house is next to the white house. The red house is not next to the blue or yellow house. Which house is in the middle?"} {"instruction": "A chat. ((8 - 2)^2 * (5 / 2)) - 10 ="} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. It takes the train 4 hours to travel from Town A to Town B. How far apart are Town A and Town B?"} {"instruction": "A chat. In a village, there are 20 houses. If each house has at least one cat and the total number of cats in the village is 50, what is the maximum number of houses that can have more than two cats?"} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 15 meters. If a gardener wants to increase the length by 5 meters and decrease the width by 3 meters, what will be the new area of the garden?"} {"instruction": "A chat. An insurance company wants to analyze the risk of flooding in a coastal city over the next 30 years. To do this, they need to consider factors such as sea level rise, storm frequency, and population growth. Develop a step-by-step approach to assess the potential financial impact on property values and insurance premiums, taking into account both direct damages and indirect economic effects.\n"} {"instruction": "A chat. In a class of 30 students, 12 play basketball, 16 play soccer, and 6 do not play any sport. How many students play both basketball and soccer?"} {"instruction": "A chat. A company has two factories that produce widgets. Factory A produces 300 widgets per day with a defect rate of 2%, while Factory B produces 500 widgets per day with a defect rate of 1.5%. How many defective widgets are produced by both factories combined in one week?"} {"instruction": "A chat. If a cylindrical water tank has a diameter of 12 feet and a height of 15 feet, what is its maximum capacity in gallons? (1 cubic foot = 7.48 gallons)"} {"instruction": "A chat. In a village, there are 20 houses. Each house has either a red or blue door. If the first house has a red door and every third house after that also has a red door, how many houses have blue doors?"} {"instruction": "A chat. In a game, players can earn points by solving puzzles or completing challenges. A player earns 5 points for each puzzle solved and 3 points for each challenge completed. If a player has earned a total of 23 points, what are the possible combinations of puzzles solved and challenges completed? Explain your thought process."} {"instruction": "A chat. If a hen lays 3 eggs in 2 days, how many eggs will she lay in a week? Provide your calculation."} {"instruction": "A chat. John reads 2 books every month. How many books will he read in 10 years? Explain your thought process."} {"instruction": "A chat. A train travels at a constant speed and takes 3 hours to travel between two cities. If it leaves City A at 2 PM, what time will it arrive at City B?"} {"instruction": "A chat. In a room, there are 5 cats. Each cat catches 4 mice in an hour. After catching the mice, each mouse can no longer be caught by another cat. How many mice will all the cats catch in total after 3 hours?"} {"instruction": "A chat. A factory produces 1200 units of a product in 8 hours. If the factory increases its production rate by 50%, how many units will it produce in 10 hours?"} {"instruction": "A chat. How many kilometers would a person travel if they walked at an average speed of 5 km/h for 2 hours and 30 minutes?"} {"instruction": "A chat. A factory produces two types of widgets: Type A and Type B. The probability of a randomly selected widget being Type A is 0.6, and the probability of a widget being defective is 0.05. If the probability of a Type A widget being defective is 0.03, what is the probability of a Type B widget being defective?"} {"instruction": "A chat. There are 10 birds sitting on a fence. A hunter shoots and kills 3 of them. How many birds are left on the fence?"} {"instruction": "A chat. A factory produces 200 widgets per hour. Due to increased demand, they decide to increase production by 50%. However, after increasing production, they realize that 20% of the widgets produced are defective. What is the net increase in non-defective widgets produced per hour?"} {"instruction": "A chat. A company sells two types of widgets: Widget X and Widget Y. They sell 100 units of Widget X at a price of $10 per unit and 50 units of Widget Y at a price of $20 per unit every day. What is the total revenue for the company after 15 days?"} {"instruction": "A chat. There are 5 houses on a street, each painted with a different color. The green house is immediately to the left of the white house. The red house is in the middle. The blue house is the first house on the left. Which house is the last one on the right?"} {"instruction": "A chat. A car travels at an average speed of 60 miles per hour for the first 3 hours of a trip and then at an average speed of 40 miles per hour for the next 2 hours. What is the car's average speed for the entire trip?"} {"instruction": "A chat. A company's revenue is increasing at a rate of 5% per month. If their current monthly revenue is $20,000, how much revenue will they generate in total over the next year?"} {"instruction": "A chat. Prove that if a group G has order p^n, where p is prime, then G has a nontrivial center."} {"instruction": "A chat. A car rental company charges $25 per day for renting a car and an additional fee of $0.15 per mile driven. If a customer rents a car for 4 days and drives it for 200 miles, what is the total cost of the rental?"} {"instruction": "A chat. Let A be a unital C*-algebra. Show that every positive element in A has a unique square root."} {"instruction": "A chat. A snail is at the bottom of a well that is 30 feet deep. During the day, the snail climbs up 3 feet, but at night, while resting, it slides back down 2 feet. How many days does it take for the snail to get out of the well?"} {"instruction": "A chat. Analyze the stability of a given control system using the Routh-Hurwitz criterion. Show your work.\n"} {"instruction": "A chat. A farmer has 30 animals on his farm, consisting of chickens and cows. He counts a total of 90 legs among all the animals. How many chickens does he have?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. How far will it travel in 45 minutes?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 10 feet and a height of 15 feet. What is its volume in cubic feet?"} {"instruction": "A chat. There are two barbers in town. One has a neat haircut, while the other has a messy haircut. Which barber should you go to if you want a good haircut?"} {"instruction": "A chat. If a train travels at an average speed of 80 kilometers per hour and takes 3 hours to reach its destination, how far apart are the starting point and the destination?"} {"instruction": "A chat. An airline is analyzing its flight schedules to optimize efficiency and reduce delays. They currently operate 200 flights per day, with an average delay of 15 minutes per flight. If they can decrease the average delay by 5 minutes through improved scheduling and coordination, calculate the total time saved across all flights in a single day, as well as the potential annual savings assuming 365 days of operation.\n"} {"instruction": "A chat. In a school election, there are three candidates running for president. Candidate A receives 40% of the votes, candidate B receives 35%, and candidate C receives the remaining votes. If there were a total of 1200 votes cast, how many more votes did candidate A receive than candidate B?"} {"instruction": "A chat. If a company has an annual revenue of $10 million and spends 30% on salaries, 20% on rent, and 15% on marketing, how much profit does the company make?"} {"instruction": "A chat. There are approximately 8 million people living in New York City. If each person generates an average of 4.5 pounds of trash per day, how many pounds of trash does the city generate daily?"} {"instruction": "A chat. A city's water department needs to upgrade its aging infrastructure to reduce water loss due to leaks. Currently, the city loses approximately 25% of its treated water through leaks in its 500-mile-long pipe network. The department has a budget of $10 million for this project and estimates that it costs $50,000 per mile to replace old pipes. Calculate how many miles of pipes can be replaced within the budget constraints and estimate the reduction in water loss after the upgrades are completed.\n"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 km/h. It takes 3 hours for the train to reach Town B. On its way back to Town A, the train increases its speed by 20 km/h. How long does it take for the train to travel back to Town A?"} {"instruction": "A chat. A snail climbs up a tree at a rate of 5 meters per day but slides down 3 meters every night. If the tree is 25 meters tall, how many days will it take for the snail to reach the top?"} {"instruction": "A chat. A farmer has chickens and cows. If the animals have a total of 40 heads and 112 legs, how many chickens and how many cows does the farmer have? Explain your thought process."} {"instruction": "A chat. Four people want to cross a bridge at night. They only have one flashlight, and the bridge is too dangerous to cross without it. The bridge can only hold two people at a time. The four people take 1, 2, 5, and 10 minutes to cross the bridge, respectively. What is the minimum amount of time it would take for all four to safely cross the bridge?"} {"instruction": "A chat. Determine the limit as x approaches infinity of the function g(x) = (3x^2 + 2x - 1) / (4x^2 + x + 5). Explain your calculations.\n"} {"instruction": "A chat. A hospital is conducting a study on the effectiveness of a new rehabilitation program for patients recovering from knee surgery. The program consists of three one-hour sessions per week for eight weeks. If there are 100 participants in the study, calculate the total number of session-hours required for the entire study period. Additionally, the hospital needs to hire physical therapists to conduct these sessions, with each therapist able to handle two patients simultaneously. Determine how many physical therapists need to be hired and provide your reasoning.\n"} {"instruction": "A chat. How many apples does Sally have if she started with 8 oranges and ate 3 pears?"} {"instruction": "A chat. A company has an annual revenue of $1 million and spends 60% on salaries, 20% on rent, and 15% on other expenses. What is the remaining percentage available for profit or reinvestment?"} {"instruction": "A chat. A pizza place offers 10 toppings. How many different pizzas can you order if you must choose at least one topping but no more than four? Use combinatorics to explain."} {"instruction": "A chat. A father has three children - two daughters and one son. If each child was born exactly two years apart, how many years older is the oldest daughter than the youngest daughter?"} {"instruction": "A chat. If a cylindrical container has a radius of 5 inches and a height of 10 inches, what is its volume?"} {"instruction": "A chat. A store offers a 10% discount on all items during a sale. If a customer buys a shirt that originally costs $50, how much will they pay for it after the discount is applied?"} {"instruction": "A chat. In a town, 70% of the people speak English, 65% speak Spanish, and 45% speak both languages. What percentage of the town speaks at least one of these two languages? Show your reasoning."} {"instruction": "A chat. A construction company is building a new residential complex consisting of 10 apartment buildings, each with 50 units. Each unit has an average size of 1,000 square feet and sells for $300 per square foot. Calculate the total revenue generated from selling all units in the complex. Additionally, determine the required number of construction workers needed to complete the project within two years, considering an average productivity rate of 500 square feet per worker per month and accounting for holidays, sick days, and other time off.\n"} {"instruction": "A chat. In a school election, candidate X received 45% of the votes, candidate Y received 35%, and candidate Z received the remaining votes. If there were a total of 800 votes cast, how many more votes did candidate X receive than candidate Y?"} {"instruction": "A chat. A zoo is planning to build a new enclosure for its growing population of giraffes. The current enclosure houses 10 giraffes, but the zoo expects the number to increase to 15 within the next two years. Each giraffe requires a minimum of 1,000 square feet of space in the enclosure. Calculate the additional area needed for the new enclosure and the estimated construction cost if it costs $200 per square foot to build. Provide step-by-step reasoning for your calculations.\n"} {"instruction": "A chat. A company has 20 employees who work 8 hours a day, 5 days a week. If they are paid an average of $25 per hour, what is the company's monthly payroll expense?"} {"instruction": "A chat. Calculate the square root of 324."} {"instruction": "A chat. Solve the equation: 3x - 7 = 2(x - 4) + 1"} {"instruction": "A chat. There are 6 red balls and 4 blue balls in a bag. If you randomly pick one ball, put it back, and then pick another ball, what is the probability of picking two red balls?"} {"instruction": "A chat. A tree doubles its height every year. After 5 years it is 32 feet tall. How tall was the tree after 2 years? Show your work."} {"instruction": "A chat. A man has 12 socks in his drawer: 6 black socks and 6 white socks. The room is completely dark, and he cannot see the color of the socks. What is the minimum number of socks he must take out of the drawer to ensure he has at least one matching pair?"} {"instruction": "A chat. In a school with 1200 students, 60% participate in sports activities. Among those who participate in sports, 40% play basketball. How many students play basketball?"} {"instruction": "A chat. A rectangular garden measures 25 feet by 35 feet. What is the area of this garden in square yards?"} {"instruction": "A chat. A rectangular garden has a length of 10 meters and a width of 6 meters. If a gardener wants to increase both the length and width by the same percentage to create a new area that is 50% larger than the original area, what should be the percentage increase?"} {"instruction": "A chat. How much water is consumed by a person who drinks 8 glasses of water per day, with each glass containing 250 mL, over the course of a month with 30 days?"} {"instruction": "A chat. There are 7 billion people on Earth. Approximately 70% of the Earth's surface is covered by water. How many people would there be for each square kilometer of land if people were distributed evenly across the land area? Assume the total surface area of the Earth is about 510 million square kilometers. Reason step-by-step."} {"instruction": "A chat. A bookshelf contains 20 books. Each book has an average of 250 pages. How many pages are there in total on the shelf? Provide step-by-step logic."} {"instruction": "A chat. In a town, there are 10 houses on one side of the street and 15 houses on the other side. Each house has a dog, and each dog barks at exactly two cats. If there are no duplicate cat targets among the dogs, how many cats are in the town?"} {"instruction": "A chat. A company sells two types of products: Product X and Product Y. The profit margin on Product X is 25%, while the profit margin on Product Y is 40%. If the company sells 200 units of Product X at $50 each and 150 units of Product Y at $80 each, what is the total profit?"} {"instruction": "A chat. A national park is planning to build new hiking trails to accommodate more visitors. The park currently has 100 miles of trails, which can handle up to 1,000 hikers per day. The goal is to increase capacity by 50% without compromising the natural environment. Trail construction costs are $20,000 per mile, and the park has a budget of $2 million for this project. Determine how many additional miles of trails need to be built to achieve the desired capacity increase, and whether the available budget is sufficient.\n"} {"instruction": "A chat. In a group of 50 people, 20 people have a cat, 30 people have a dog, and 10 people have both a cat and a dog. How many people in the group have neither a cat nor a dog?"} {"instruction": "A chat. A factory produces 500 units of a product every day. The production rate increases by 50 units per day every week. How many units will be produced on the 15th day?"} {"instruction": "A chat. A man builds a house rectangular in shape. All sides have southern exposure. A big bear walks by. What color is the bear? Reason step-by-step."} {"instruction": "A chat. Use Bayes' theorem to calculate the probability of a person having a certain disease given a positive test result, providing step-by-step reasoning.\n"} {"instruction": "A chat. John has 20 apples. He gives half of his apples to Jane and then eats 2 apples himself. Later, he finds 5 more apples and gives a third of his remaining apples to Sam. How many apples does John have left?"} {"instruction": "A chat. A factory produces 1000 widgets per day. Each widget has a 3% chance of being defective. What is the expected number of defective widgets produced each day?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour for 2 hours, then stops for an hour, and finally continues traveling at a speed of 40 miles per hour for another 2 hours. How far has the train traveled in total?"} {"instruction": "A chat. A restaurant has a seating capacity of 100 people. Due to social distancing guidelines, they can only seat 60% of their maximum capacity. If there are currently 45 customers in the restaurant, how many more customers can be seated while still following the guidelines?"} {"instruction": "A chat. In an election, candidate A received 60% of the votes, while candidate B received the remaining 40%. If candidate A won by 5000 votes, how many total votes were cast in the election?"} {"instruction": "A chat. A factory produces 1200 units of a product every day, and each unit has a 2% chance of being defective. On average, how many defective units are produced per day?"} {"instruction": "A chat. In a bag, there are 4 red balls, 3 blue balls, and 5 green balls. If you randomly pick two balls from the bag without replacement, what is the probability that both balls will be green?"} {"instruction": "A chat. A train travels between two cities at an average speed of 80 kilometers per hour. The trip takes 6 hours and 45 minutes. What is the distance between the two cities?"} {"instruction": "A chat. A tree produces 200 apples each season. If only 70% of these apples are good enough to sell, how many bad apples does the tree produce each season? Show your work."} {"instruction": "A chat. A car dealership sells cars at an average rate of 3 cars per day. What is the probability that exactly 5 cars will be sold on a given day, assuming a Poisson distribution?"} {"instruction": "A chat. Calculate the area of a circle with a diameter of 10 inches."} {"instruction": "A chat. A store has an initial inventory of 100 items. Every day, they sell 5 items and receive a shipment of 3 new items. How many days will it take for the store to run out of inventory?"} {"instruction": "A chat. A train travels from City A to City B at an average speed of 80 km/h. On its return journey, it travels at an average speed of 100 km/h. What is the average speed for the entire round trip?"} {"instruction": "A chat. If a car drives at a constant speed of 50 mph for 3 hours and then increases its speed to 70 mph for another 2 hours, what is the total distance covered?"} {"instruction": "A chat. If a company produces 5000 units of a product per month and sells each unit for $20, how much revenue will the company generate in one year if it increases its production by 10% every quarter?"} {"instruction": "A chat. In a small town, there are 3 barbers. Barber A has the best haircut in town, while Barber B has the second-best haircut, and Barber C has the worst haircut. All three of them get their haircuts from one another. Who cuts Barber A's hair?"} {"instruction": "A chat. A company has a profit margin of 20% on each product it sells. If the cost to produce one unit is $50, what should be the selling price per unit to achieve this profit margin?"} {"instruction": "A chat. Alice has twice as many apples as Bob. Claire has half as many apples as Bob. Together, they have 42 apples. How many apples does each person have?"} {"instruction": "A chat. There are 5 cats in a room. Each cat catches 3 mice. However, one of the cats is lazy and only catches 1 mouse. How many mice were caught in total?"} {"instruction": "A chat. In a group of people, 60% have brown eyes, and 40% have green eyes. Among those with brown eyes, 70% wear glasses, while among those with green eyes, only 50% wear glasses. What percentage of the group wears glasses?"} {"instruction": "A chat. A shipping company is evaluating the efficiency of its delivery routes. They have 20 trucks, each capable of carrying up to 15 tons of cargo. On average, each truck makes 10 deliveries per day, traveling a total distance of 200 miles. The company spends $0.50 per mile on fuel and maintenance costs. Calculate the total daily cost of operating the trucks, and determine if there are any potential savings by reducing the number of deliveries per truck or increasing the cargo capacity. Explain your reasoning.\n"} {"instruction": "A chat. A large hospital needs to optimize its patient-to-nurse ratio to improve patient care. Currently, there are 1,500 patients in the hospital, with 200 nurses working in various shifts. Research suggests that a 1:4 nurse-to-patient ratio results in better outcomes. Calculate how many additional nurses need to be hired to achieve this ratio, considering that each nurse works 40 hours per week and must have at least two days off per week. Describe your calculations step by step.\n"} {"instruction": "A chat. A zoo is planning to expand its animal exhibits and improve visitor experience. The expansion plan includes adding three new sections: one for reptiles, one for birds, and one for aquatic animals. The total budget for the expansion is $12 million, with the following allocation: 35% for reptiles, 25% for birds, and 40% for aquatic animals. Calculate the individual budgets for each section and estimate the number of new species that can be added to each exhibit, assuming an average cost of $50,000 per species for reptiles, $30,000 for birds, and $100,000 for aquatic animals. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A city has a population of 250,000 people. If 55% of the population is employed and the unemployment rate is 10%, how many people are not in the labor force?"} {"instruction": "A chat. In a class of 30 students, 12 are boys and the rest are girls. If half of the boys and one-third of the girls join the school choir, how many students in total join the choir?"} {"instruction": "A chat. In a class of 40 students, 70% of them passed a math test. If 5 more students had passed the test, what would have been the new percentage of students who passed?"} {"instruction": "A chat. In a town, 30% of people own cats, 45% own dogs, and 15% own both cats and dogs. What percentage of people do not own any pets? Reason step-by-step."} {"instruction": "A chat. How many ways are there to arrange the letters in the word \"COMPUTER\"?"} {"instruction": "A chat. In a village, there are 50 houses. Each house has at least one person living in it. If the total number of people living in the village is 100, what is the maximum number of houses that can have only one person living in them?"} {"instruction": "A chat. A company has 500 employees. If 300 of them are full-time and the rest are part-time, what percentage of the workforce is part-time?"} {"instruction": "A chat. A large hospital is evaluating its emergency room operations. On average, there are 600 patients visiting the ER daily, with 70% requiring immediate attention, 20% needing urgent care, and 10% having non-urgent issues. The hospital has 50 doctors working in the ER, each capable of treating 12 patients per shift. Calculate the required number of shifts per doctor to handle the patient load, considering different priority levels. Also, estimate the waiting time for each category of patients based on this staffing plan.\n"} {"instruction": "A chat. A train travels at a constant speed between two cities, 100 miles apart. On its first trip, it makes a 20-minute stop halfway through the journey. On its second trip, it doesn't make any stops. If the total travel time for the first trip was 2 hours and 40 minutes, how long did the second trip take?"} {"instruction": "A chat. If a factory produces 1500 units of product A and 2500 units of product B in one week, how many weeks will it take to produce 30,000 units of product A and 50,000 units of product B?"} {"instruction": "A chat. If a tree produces 200 apples in a year, and each apple can produce 10 seeds, how many trees could potentially grow from the seeds produced by this one tree in a year? Reason step-by-step."} {"instruction": "A chat. In a bag, there are 5 red balls, 3 blue balls, and 2 green balls. You have to pick three balls without looking. What is the probability of picking at least one ball of each color?"} {"instruction": "A chat. John wants to save $1200 in 10 months. How much does he need to save each month? Show your steps."} {"instruction": "A chat. (4^2 * 3) / (2 * 9) ="} {"instruction": "A chat. Four friends decide to race up a hill. Alan finishes before Ben, Carla finishes after Derek, and Ben finishes before Carla. Who finished last?"} {"instruction": "A chat. In a certain town, every person either always tells the truth or always lies. You come across two people, Alice and Bob. Alice says \"At least one of us is a liar.\" Is Bob a liar?"} {"instruction": "A chat. In a town, 60% of the people own a car, 40% own a bicycle, and 20% own both a car and a bicycle. What percentage of the people in the town own either a car or a bicycle?"} {"instruction": "A chat. There are 7 apples on the table. You take away 3 apples. How many apples do you have now?"} {"instruction": "A chat. A hospital needs to purchase new medical equipment for its radiology department. They have narrowed down their choices to two different machines: Machine A costs $300,000 with an annual maintenance fee of $15,000, while Machine B costs $250,000 with an annual maintenance fee of $25,000. Both machines have a lifespan of 10 years. Determine which machine would be more cost-effective over its entire lifespan and explain your reasoning.\n"} {"instruction": "A chat. A gardener plants 15 trees in 5 rows, with each row containing 4 trees. How is this possible?"} {"instruction": "A chat. In a class of 30 students, there are twice as many girls as boys. If 60% of the girls and 50% of the boys passed an exam, how many students in total passed the exam?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 miles per hour. The distance between the two towns is 180 miles. If the train stops for 20 minutes at a station halfway through the journey, how long does it take for the train to travel from Town A to Town B?"} {"instruction": "A chat. A farmer has chickens and cows on his farm. If he counts a total of 50 heads and 134 legs, how many chickens and cows does he have?"} {"instruction": "A chat. There are 4 boxes, each containing a different number of balls. Box A has 5 more balls than Box B. Box C has twice as many balls as Box A. Box D has half as many balls as Box B. If there are a total of 50 balls in all four boxes combined, how many balls does Box B have?"} {"instruction": "A chat. In how many ways can a committee of 4 people be formed from a group of 9 people if one specific person must be on the committee?"} {"instruction": "A chat. If a restaurant serves 300 meals in a day, and each meal generates an average of 0.5 kilograms of food waste, how many tons of food waste does the restaurant generate in a month? Assume that a month has 30 days."} {"instruction": "A chat. A rectangle has a length of 12 inches and a width of 8 inches. If each side of the rectangle is increased by 50%, what will be the new area of the rectangle?"} {"instruction": "A chat. In a class of 30 students, there are twice as many girls as boys. If 5 more boys join the class, how many girls would need to join in order for the ratio of girls to boys to remain the same?"} {"instruction": "A chat. A car rental company is looking to expand its fleet by purchasing new vehicles that offer better fuel efficiency and lower maintenance costs. The company currently operates a fleet of 100 cars, with an average age of five years and a combined annual mileage of 1 million miles. Develop a plan to replace older vehicles with newer models over a three-year period, taking into account factors such as depreciation, financing options, and potential savings on fuel and maintenance. Describe your reasoning and calculations step-by-step.\n"} {"instruction": "A chat. If there are 8 planets in the solar system and each planet has 4 moons, how many total celestial bodies are there in the solar system? Assume that we are only counting planets and their moons."} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 15 meters. If you want to build a fence around the entire garden with an additional 3-meter-wide walkway outside the fence, what is the perimeter of the fenced area?"} {"instruction": "A chat. In a class of 30 students, 18 play soccer, 20 play basketball, and 12 play both soccer and basketball. How many students do not play any sport?"} {"instruction": "A chat. If a farmer has 20 acres of land and wants to plant corn on 60% of the land, how many acres will be used for planting corn?"} {"instruction": "A chat. A factory produces 100 cars per day. On Monday, they produce 20% more cars than usual. On Tuesday, they produce 10% fewer cars than on Monday. How many cars do they produce on Tuesday?"} {"instruction": "A chat. A company sells its product at $50 per unit and has fixed costs of $10,000. The variable cost per unit is $30. How many units must be sold to break even?"} {"instruction": "A chat. If a farmer has 4 different types of crops and wants to plant them in his field such that no two adjacent rows have the same type of crop, how many possible arrangements can he make?"} {"instruction": "A chat. Solve: (4x^2 - 9) / (2x + 3) = 2x - 3."} {"instruction": "A chat. A store offers a 20% discount on all items during a sale. If an item originally costs $80, how much will the customer save after applying the discount?"} {"instruction": "A chat. Compute the determinant of the matrix [[1, 2], [3, 4]]."} {"instruction": "A chat. In a family of 5 children, each child has at least one brother and one sister. What is the minimum number of boys in the family?"} {"instruction": "A chat. There are 5 red balls and 3 blue balls in a bag. You randomly pick one ball, note its color, and put it back into the bag. Then you repeat this process two more times. What is the probability that you picked at least one red ball during these three attempts?"} {"instruction": "A chat. Determine the eigenvalues of matrix B = [[1, -1], [2, 3]]."} {"instruction": "A chat. A group of people consists of 15 men and 20 women. Among these people, 12 men and 18 women have brown eyes. How many people in the group do not have brown eyes?"} {"instruction": "A chat. A class has 15 students, including 8 boys and 7 girls. If the teacher randomly selects 2 students to present their projects, what is the probability that both selected students will be girls?"} {"instruction": "A chat. A company has 120 employees, and they plan to give each employee a bonus at the end of the year. The total budget for bonuses is $72,000. If managers receive twice as much as regular employees, and there are 20 managers, how much will each regular employee receive?"} {"instruction": "A chat. A city's public transportation system consists of buses, trams, and subways. The city has allocated a budget of $500 million to upgrade its infrastructure over the next decade. This includes purchasing new vehicles, improving stations, and expanding routes. Develop a plan to allocate funds among the different modes of transportation based on their current usage (e.g., 60% bus, 25% tram, and 15% subway) and provide detailed reasoning.\n"} {"instruction": "A chat. There are 5 consecutive odd numbers. If the sum of these numbers is 225, what is the smallest number?"} {"instruction": "A chat. At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party? Explain your reasoning."} {"instruction": "A chat. How many times will the hour and minute hands of a clock overlap in 24 hours?"} {"instruction": "A chat. In a small town, there are 5 houses in a row. Each house is painted a different color and has a person of a different nationality living in it. The following information is known about the residents:\n\n1. The British person lives in the red house.\n2. The Swedish person has a dog.\n3. The Danish person drinks tea.\n4. The green house is to the left of the white house.\n5. The owner of the green house drinks coffee.\n6. The person who smokes Pall Mall has birds.\n7. The yellow house's owner smokes Dunhill.\n8. The person living in the center house drinks milk.\n9. The Norwegian lives in the first house.\n10. The person who smokes Blend lives next to the one with cats.\n11. The person with horses lives next to the one who smokes Dunhill.\n12. The person who smokes Blue Master drinks beer.\n13. The German smokes Prince.\n14. The Norwegian lives next to the blue house.\n15. The person who smokes Blend has a neighbor who drinks water.\n\nWho owns the fish?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the towns is 120 miles. If the train takes 2 hours to complete the journey, what would be its average speed if it made an additional stop for 15 minutes in a town located halfway between Town A and Town B?"} {"instruction": "A chat. There are 10 apples in a basket. You take away 6 apples and then put back 4 apples. How many apples do you have?"} {"instruction": "A chat. A telecommunications company plans to expand its network coverage in a rural area by installing new cell towers. The area consists of small towns and farmland, with a total population of 50,000 people. Determine the optimal number and placement of cell towers to provide coverage for at least 95% of the population while minimizing installation and maintenance costs. Consider factors such as signal range, terrain, and local regulations in your calculations. Provide step-by-step reasoning."} {"instruction": "A chat. If a car travels at an average speed of 60 mph for 4 hours and then increases its speed to 75 mph for another 3 hours, how far does it travel in total?"} {"instruction": "A chat. If a car travels at an average speed of 50 miles per hour for 3 hours and then increases its speed to 70 miles per hour for another 2 hours, what is the total distance covered by the car?"} {"instruction": "A chat. A man has 9 children. Each child has at least one brother and one sister. What is the minimum number of boys among his children?"} {"instruction": "A chat. In how many ways can you choose a committee of 3 people from a group of 10 people if two specific individuals cannot be on the committee together?"} {"instruction": "A chat. A company has two factories. Factory A produces 300 units of a product per day and Factory B produces 400 units per day. If each unit is sold for $10, what will be the combined revenue from both factories after one week (7 days)?"} {"instruction": "A chat. A train travels from City A to City B in 4 hours, while another train takes 6 hours to travel the same distance but in the opposite direction. If both trains start their journeys simultaneously, when will they meet?"} {"instruction": "A chat. A recipe calls for 2 cups of sugar to make 24 cookies. How much sugar is needed to make 48 cookies? Show your work.\n"} {"instruction": "A chat. A box contains 6 red balls and 4 blue balls. If we randomly pick two balls at once from the box without replacement, what is the probability that both balls are red?"} {"instruction": "A chat. A family decides to plant a garden with 7 rows of plants. They want to have 9 plants in each row. However, they only have 50 plants. Can they complete their garden plan? Explain your thought process."} {"instruction": "A chat. A honey bee visits 50 flowers in an hour. How many flowers does it visit in a day assuming it works non-stop for 12 hours? Walk me through your thinking."} {"instruction": "A chat. In a classroom, there are 30 students. If every student shakes hands with every other student exactly once, how many handshakes take place?"} {"instruction": "A chat. A university plans to offer a new online course with live lectures and interactive sessions. The course will have 300 students enrolled, and each student will need a stable internet connection to participate in the live sessions. Estimate the minimum bandwidth required for the university's server to handle all 300 simultaneous connections, assuming that each student needs a 2 Mbps connection for smooth video streaming. Describe your reasoning.\n"} {"instruction": "A chat. A store sells apples in bags containing 5 apples each. If they have 200 apples in stock, how many full bags can they make?"} {"instruction": "A chat. In a certain city, the ratio of taxi drivers to Uber drivers is 4:3. If there are 1,400 taxi drivers in the city, how many Uber drivers are there?"} {"instruction": "A chat. A rectangular garden has a length of 20 feet and a width of 15 feet. What is the area of the garden, and how many square tiles with side lengths of 2 feet would be needed to cover it completely?"} {"instruction": "A chat. A train travels 100 miles in 2 hours, then stops for 30 minutes, and finally travels another 150 miles in 3 hours. What is the average speed of the train for the entire journey, including the stop?"} {"instruction": "A chat. There are 12 months in a year. Each month has either 30 or 31 days except February which has 28 days. How many days are there in a year? Show your work."} {"instruction": "A chat. A man has a jar containing 50 white marbles and 50 black marbles. He adds 25 more white marbles to the jar. What is the probability that he will draw a white marble from the jar?"} {"instruction": "A chat. A store sells apples in bags containing 6 apples each. The store receives a shipment of 360 apples every Monday and Thursday. If they sell out their entire stock by Sunday night, how many bags of apples do they sell per week?"} {"instruction": "A chat. If an ant travels at a speed of 1 cm per second, how far will it travel in one month (30 days)? Include your calculations."} {"instruction": "A chat. A train leaves New York at 60 mph, and another train leaves Los Angeles at 80 mph. How many apples are on the first train?"} {"instruction": "A chat. If a factory produces 500 widgets per day and operates 5 days a week, how many widgets does it produce in a year? Provide your logic."} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. Every house has a dog living in it except for the houses that are multiples of 5. If a dog barks at every person who passes by its house, how many dogs will bark if someone walks past all the houses?"} {"instruction": "A chat. If a car factory produces 120 cars per day, and each car requires 4 tires, how many tires does the factory need to have in stock for 15 days of production?"} {"instruction": "A chat. In a box of chocolates, there are 6 dark chocolates, 8 milk chocolates, and 10 white chocolates. If you randomly pick one chocolate without looking, what is the probability of picking a dark chocolate followed by a milk chocolate if you don't replace the first chocolate back into the box?"} {"instruction": "A chat. If you read at an average speed of 250 words per minute and you want to finish reading a book with 80,000 words, how many hours will it take you to complete the book?"} {"instruction": "A chat. Calculate the surface area of a cone with height 10 and base radius 5."} {"instruction": "A chat. In a village, there are 100 houses. Each house has at least one child living in it. House number 1 has one child, house number 2 has two children, and so on until house number 100 which has 100 children. How many total children live in the even-numbered houses?"} {"instruction": "A chat. A train travels from City A to City B at an average speed of 60 miles per hour. On its way back from City B to City A, the train travels at an average speed of 40 miles per hour. If the distance between City A and City B is 120 miles, what is the train's average speed for the entire round trip?"} {"instruction": "A chat. If a factory produces 2000 items per day and operates for 25 days in a month, how many items will it produce in a year?"} {"instruction": "A chat. There are 5 apples on a table. You take away 3 apples. How many apples do you have?"} {"instruction": "A chat. A factory produces 1500 units of product A and 2000 units of product B per day. If the factory operates for 25 days in a month, how many total units are produced in a month?"} {"instruction": "A chat. A school has 500 students, with 60% of them being boys. If 75% of the boys and 80% of the girls participate in a sports program, how many students are participating in the sports program?"} {"instruction": "A chat. A sports league is planning its annual tournament, which includes teams from multiple cities. They need to determine the most efficient way to schedule games and allocate venues to minimize travel expenses for all participating teams. There are 20 teams, and each team needs to play every other team once during the regular season. Determine the number of games required and propose an optimal scheduling plan to reduce overall travel costs.\n"} {"instruction": "A chat. What is the sum of the first 10 terms of the arithmetic sequence with a common difference of 3 and a first term of 5?"} {"instruction": "A chat. A bakery wants to expand its product offerings by introducing new types of bread and pastries. They currently produce 10 different products with a daily output of 1,000 units per product. The bakery plans to add five more products to their lineup, with an expected daily output of 500 units per new product. Calculate the increase in production capacity needed and determine the additional ingredients (flour, sugar, etc.) required based on the current ingredient usage for existing products.\n"} {"instruction": "A chat. A company has 120 employees, and the ratio of men to women is 3:5. How many men and how many women work at the company?"} {"instruction": "A chat. Three men went into a room with only one chair. Each man sat down on the chair for 10 minutes. How long did it take for all three men to sit on the chair?"} {"instruction": "A chat. A factory produces 2000 units of product A and 1500 units of product B every month. Product A requires 3 hours of labor for each unit, while product B requires 4 hours of labor for each unit. How many hours of labor does the factory require per year for both products combined?"} {"instruction": "A chat. A city's water treatment plant needs to upgrade its infrastructure to handle increased demand from population growth. The current plant can process 1 million gallons of water per day, but the city expects that they will need to increase capacity by 25% within the next five years. Calculate the additional processing capacity required and estimate the cost of upgrading the plant if it costs $500,000 per 100,000-gallon increase in capacity. Provide step-by-step reasoning for your calculations."} {"instruction": "A chat. There are 5 red balls and 3 blue balls in a bag. You draw two balls at random without replacement. What is the probability that you draw one ball of each color?"} {"instruction": "A chat. If a car depreciates in value by 15% each year, what will be its approximate value after 5 years if its initial value was $25,000?"} {"instruction": "A chat. In a school, there are 4 classes with 20 students each. Each student has 5 subjects and each subject has one book. How many books are needed for all the students? Show your work."} {"instruction": "A chat. An online retailer is expanding its warehouse network to reduce shipping times. They currently have four warehouses, each capable of processing 10,000 orders per day. The company expects order volume to grow by 15% annually over the next five years. Calculate the number of additional warehouses needed to meet this demand, assuming each new warehouse will have a processing capacity of 12,000 orders per day. Also, estimate the total cost of building these new warehouses if each one costs $5 million.\n"} {"instruction": "A chat. If a person drinks an average of 3 cups of coffee per day, how many cups will they drink in one year?"} {"instruction": "A chat. If you drive at an average speed of 55 miles per hour for 4 hours and 30 minutes, how far will you have traveled?"} {"instruction": "A chat. If an airplane travels at an average speed of 550 miles per hour, how long would it take to fly around the Earth's equator (24,901 miles)?"} {"instruction": "A chat. A train leaves Station A at 9 AM traveling at 60 mph towards Station B. Another train leaves Station B at 10 AM traveling at 80 mph towards Station A. If the distance between Station A and Station B is 300 miles, at what time do the trains pass each other?"} {"instruction": "A chat. A box contains 6 defective items and 14 non-defective items. If you randomly select 3 items from the box, what is the probability that exactly 2 of them will be defective?"} {"instruction": "A chat. A hospital is conducting a vaccination drive for its staff members. There are 800 employees in the hospital, and each employee needs two doses of the vaccine administered four weeks apart. The hospital has allocated a budget of $15,000 for the vaccination drive. If the cost of each dose is $8, calculate how many additional funds the hospital would need to cover the entire vaccination drive. Provide step-by-step reasoning for your calculations.\n"} {"instruction": "A chat. A theme park is designing a new roller coaster with multiple loops and inversions. The ride will have a maximum capacity of 24 passengers per train and operate continuously throughout the day. Each ride cycle lasts 3 minutes, including loading and unloading times. The park expects the roller coaster to attract 15,000 visitors per month. Calculate the minimum number of ride cycles needed per day to accommodate the expected visitor volume, and describe your reasoning.\n"} {"instruction": "A chat. An insurance company wants to analyze the impact of offering discounts on home insurance premiums for customers who install smart security systems. The company currently insures 100,000 homes, with an average annual premium of $1,000 per home. They expect that offering a 10% discount for installing smart security systems will increase the adoption rate among their customers by 20%. Calculate the potential revenue loss due to the discounts and weigh it against the expected reduction in claims payouts resulting from improved home security.\n"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour for the first 2 hours of its journey. It then speeds up to an average speed of 80 miles per hour for the next 3 hours. How far does the train travel during its entire journey?"} {"instruction": "A chat. There are 12 fish in an aquarium. Half of them are red, one-third are blue, and the rest are yellow. How many yellow fish are there?"} {"instruction": "A chat. What is the sum of the digits in the number 123456789?"} {"instruction": "A chat. Using Laplace transforms, solve the following ordinary differential equation: y''(t) + 4y'(t) + 3y(t) = 0, given initial conditions y(0) = 1 and y'(0) = 0.\n"} {"instruction": "A chat. A factory produces 500 units of product A in 5 hours. How long will it take to produce 3000 units if the production rate remains constant?"} {"instruction": "A chat. You read 5 pages of a book every day. The book has 150 pages. After reading the book, you write a report that takes 3 days. How many days in total does it take to read the book and write the report? Show your work."} {"instruction": "A chat. A man has 12 coins, some of which are fake. If he randomly picks one coin, the probability of getting a fake coin is 1/3. How many fake coins does he have?"} {"instruction": "A chat. In a box, there are 5 red balls, 7 blue balls, and 3 green balls. If you randomly pick one ball without looking, what is the probability that it will be either red or blue?"} {"instruction": "A chat. A factory produces 200 units of product A and 300 units of product B in one day. Product A requires 4 hours to produce, while product B takes 6 hours. How many total hours are spent producing both products in a day?"} {"instruction": "A chat. A factory produces two types of products: Product X and Product Y. The profit for each unit of Product X is $20, while the profit for each unit of Product Y is $30. If the factory produces a total of 800 units per day and makes a daily profit of $22,000, how many units of each product are produced?"} {"instruction": "A chat. A shipping company needs to transport goods from a warehouse to various destinations using trucks. The warehouse has 5000 packages to deliver, with an average weight of 25 kg per package. Each truck can carry a maximum load of 10 tons. The delivery routes are divided into three zones, with distances of 50 km, 100 km, and 150 km from the warehouse. The fuel consumption rate for the trucks is 5 km per liter of diesel. Calculate the number of trucks required to deliver all packages, the total distance traveled by the trucks, and the total fuel consumption for this operation. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a sequence, the first term is 2 and each subsequent term is obtained by adding the previous term to its square. What is the fifth term?"} {"instruction": "A chat. In a village, there are 100 houses. Every house has a dog and every dog has 3 fleas. How many legs are in the village?"} {"instruction": "A chat. If a car travels at 60 miles per hour, how many feet does it travel in 5 seconds?"} {"instruction": "A chat. A bag contains 4 red balls, 3 blue balls, and 5 green balls. If you draw two balls at random without replacement, what is the probability that both balls are red?"} {"instruction": "A chat. A school has 800 students. The ratio of boys to girls is 3:5. How many more girls are there than boys?"} {"instruction": "A chat. A bag contains 4 red balls, 6 blue balls, and 5 green balls. If you draw two balls at random without replacement, what is the probability that both balls are the same color?"} {"instruction": "A chat. If a person consumes 2000 calories per day and burns 2500 calories per day through exercise and daily activities, how many days will it take to lose 1 pound of body weight? (Note: 1 pound of body weight is approximately equal to 3500 calories)"} {"instruction": "A chat. There are 12 people at a party. Each person shakes hands with every other person exactly once. How many handshakes take place?"} {"instruction": "A chat. Simplify the expression (3x^2 - 5x + 7) - (2x^2 - 4x - 1)."} {"instruction": "A chat. In a school with 800 students, 60% are boys. If 30% of the boys play soccer, how many boys play soccer in the school?"} {"instruction": "A chat. If a rectangular room measures 12 feet by 15 feet, how many square yards of carpet are needed to cover the entire floor?"} {"instruction": "A chat. If a car factory produces 150 cars per day and each car has four tires, how many tires are needed for the production of cars in one month (30 days)?"} {"instruction": "A chat. In a town, there are 10 families. Each family has at least one child. If the total number of children in the town is 22, what is the maximum number of families that have exactly two children?"} {"instruction": "A chat. A box contains 12 red balls, 18 blue balls, and 6 green balls. If you randomly pick two balls from the box without replacement, what is the probability that both balls are blue?"} {"instruction": "A chat. A hospital is looking to improve its emergency response time by investing in additional ambulances and staff. Currently, they have 10 ambulances, each making an average of 4 trips per day, with an average response time of 15 minutes. They want to reduce the average response time to 10 minutes. Estimate how many additional ambulances and staff members would be needed to achieve this goal, considering factors such as traffic patterns, population density, and ambulance maintenance schedules. Describe your reasoning.\n"} {"instruction": "A chat. Show that there exists no continuous function h: R -> R such that h(h(x)) = e^x for all x in R."} {"instruction": "A chat. Solve the following equation for x: 3x + 5 = 17. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of drawing a red ball from the bag without replacement? Show your calculations."} {"instruction": "A chat. A factory produces 100 cars every day. It operates 6 days a week, and takes a break on Sunday. How many cars does it produce in a year? Provide your calculations."} {"instruction": "A chat. A farmer has a rectangular field with an area of 200 square meters. The length of the field is twice the width. What is the perimeter of the field?"} {"instruction": "A chat. There are 12 apples in a basket. If you take away 3 apples and then add 4 more apples, how many apples do you have?"} {"instruction": "A chat. A company has 120 employees, and 70% of them are full-time workers. How many part-time workers does the company have?"} {"instruction": "A chat. A company produces two types of products, A and B. Each unit of product A requires 2 hours of labor and 1 hour of machine time, while each unit of product B requires 3 hours of labor and 2 hours of machine time. The company has a total of 120 hours of labor and 80 hours of machine time available per week. If the profit per unit for product A is $10 and for product B is $15, how many units of each product should be produced to maximize profit?"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour. How long will it take the train to travel a distance of 450 miles?"} {"instruction": "A chat. A company sells three types of products: Product A, Product B, and Product C. In one month, they sell 250 units of Product A at $50 each, 150 units of Product B at $75 each, and 100 units of Product C at $120 each. What is their total revenue for the month?"} {"instruction": "A chat. There are 8 cats in a room. Each cat has 4 legs and 2 eyes. How many legs do the cats have in total?"} {"instruction": "A chat. In a class of 40 students, 12 received an A grade, 16 received a B grade, and the remaining students received a C grade. What is the ratio of A grades to B grades to C grades in simplest form?"} {"instruction": "A chat. A square garden has a side length of 10 meters. If the owner wants to build a fence around the entire garden, but only has enough materials for 36 meters of fencing, can they enclose the whole garden?"} {"instruction": "A chat. A factory produces 500 units of product A in 10 hours. If the factory increases its production rate by 20%, how many units of product A will it produce in 15 hours?"} {"instruction": "A chat. A factory produces 200 widgets per hour. Due to a malfunction, every third widget produced is defective. How many non-defective widgets are produced in 6 hours?"} {"instruction": "A chat. A store offers a 20% discount on an item, but then adds a 10% sales tax to the discounted price. If the original price of the item is $100, what will be the final price after applying both the discount and the sales tax?"} {"instruction": "A chat. If a car travels at an average speed of 45 mph for 2.5 hours, how far has it traveled?"} {"instruction": "A chat. There are 100 people in a room. 50% of them wear glasses, and 20% of those who wear glasses also wear hats. What percentage of the people in the room wear both glasses and hats?"} {"instruction": "A chat. In a group of 30 people, 18 have brown eyes and 12 have blue eyes. If you randomly select 3 people from the group, what is the probability that at least one person has blue eyes?"} {"instruction": "A chat. In a class of 40 students, 25% scored an A on a test, 35% scored a B, and the rest scored a C. If a student is chosen at random from this class, what is the probability that they did not score an A or a B?"} {"instruction": "A chat. There are 25 students in a class. Half of them wear glasses. How many students don't wear glasses?"} {"instruction": "A chat. A factory produces 150 units of a certain product every day, but due to increased demand, they decide to operate for two extra hours each day, which results in a 25% increase in daily production. How many units are produced in total during a 30-day month with the increased production rate?"} {"instruction": "A chat. A rectangle has a length of 12 inches and a width of 8 inches. What is its area?"} {"instruction": "A chat. A train leaves from Station A and travels to Station B at a constant speed. Halfway through the journey, it starts raining heavily, causing the train's speed to decrease by 25%. If the total travel time is now 4 hours, how long would the trip have taken without the rain?"} {"instruction": "A chat. In a room, there are 10 people. Half of them are wearing glasses, and one-third of the total number of people is wearing hats. If two people are wearing both glasses and hats, how many people are not wearing either glasses or hats?"} {"instruction": "A chat. A car wash takes 10 minutes to clean one car. How long will it take to clean 8 cars?"} {"instruction": "A chat. An airline company wants to optimize its flight routes between three major cities (A, B, and C). Currently, they operate daily direct flights from A to B, B to C, and C to A. Each flight can accommodate 200 passengers, and the average ticket price is $150. The company is considering adding a layover option through city D, which would reduce the ticket price by 15% but add an additional hour of travel time. Estimate the potential revenue change if 30% of passengers choose the layover option, and describe your reasoning.\n"} {"instruction": "A chat. In a room, there are three light switches on the wall. Each switch controls one of the three lights in the adjacent room. You can only enter the adjacent room once. How can you determine which switch controls each light?"} {"instruction": "A chat. A logistics company needs to transport goods from its warehouse to various retail stores across the country. There are three types of trucks available for rent: small (capacity of 10 tons), medium (capacity of 20 tons), and large (capacity of 40 tons). The rental cost per day is $200 for a small truck, $300 for a medium truck, and $500 for a large truck. The company has a daily transportation requirement of 100 tons and a maximum budget of $2,000 per day. Determine the optimal combination of trucks to rent while minimizing costs and meeting the daily transportation requirements.\n"} {"instruction": "A chat. If you have a sequence of numbers that follows the pattern 2, 6, 18, 54,... what would be the 7th term in this sequence?"} {"instruction": "A chat. A box contains 12 balls, some of which are red and some of which are blue. If you randomly pick 2 balls without replacement, the probability of getting 2 red balls is 1/3. How many red balls are in the box?"} {"instruction": "A chat. There are 5 apples and 3 oranges in a basket. If you randomly pick one fruit from the basket without looking, eat it, and then pick another fruit, what is the probability that both fruits are apples?"} {"instruction": "A chat. A car travels at a constant speed of 40 mph for the first half of its journey and then increases its speed to 60 mph for the remaining half. What is the average speed of the car for the entire journey?"} {"instruction": "A chat. If a factory produces 1200 widgets per day and experiences a 2% defect rate, how many defective widgets will be produced after 30 days?"} {"instruction": "A chat. In a class of 30 students, 18 students play soccer, and 12 students play basketball. If every student plays at least one sport, but no student plays both sports, how many students play neither soccer nor basketball?"} {"instruction": "A chat. A box contains red and blue balls only. There are twice as many red balls as blue balls. If there are 24 more red balls than blue balls, how many balls are in the box altogether?"} {"instruction": "A chat. A national park is conducting a study on the impact of tourism on its wildlife population. The park has a total area of 10,000 square miles and is home to several endangered species. Researchers need to estimate the number of tourists visiting the park each year, as well as their average length of stay and activities participated in during their visit. Based on this information, calculate the potential impact on wildlife populations and suggest measures to mitigate any negative effects. Describe your reasoning in steps.\n"} {"instruction": "A chat. A baker uses 3 eggs to make a cake. If he has 36 eggs, how many cakes can he bake? Show your work."} {"instruction": "A chat. A company's revenue is increasing by 5% every month. If their current monthly revenue is $10,000, what will be their revenue after 8 months?"} {"instruction": "A chat. A group of friends wants to split the cost of renting a vacation house for a week. The rental fee is $2,100 and there will be a cleaning fee of $150 at the end of their stay. If each person contributes an equal amount, how much should each person pay if there are 7 people in the group?"} {"instruction": "A chat. A factory produces 500 units of a product every day. The production cost per unit is $15, and each unit is sold for $25. What is the profit made by the factory after 10 days?"} {"instruction": "A chat. Solve the following equation for x: 3x + 7 = 22. Show your work.\n"} {"instruction": "A chat. A rectangular garden measures 30 meters long and 20 meters wide. If you want to build a path around the garden that is 2 meters wide, what will be the area of the path?"} {"instruction": "A chat. A rectangle has a length of 12 cm and a width of 8 cm. What is the area of the rectangle, and what would be its new area if both dimensions were doubled?"} {"instruction": "A chat. You have 1000 bricks. If you want to build a wall measuring 10 feet long and 10 feet high, with each brick being 1 foot by 1 foot, how many more bricks do you need?"} {"instruction": "A chat. A car rental company charges $20 per day for renting a car plus an additional $10 for insurance. If you rent a car for 5 days with insurance, how much will you pay?"} {"instruction": "A chat. If a farmer has 5 different types of fruits (apples, oranges, bananas, grapes, and strawberries) and wants to create fruit baskets with exactly 3 types of fruits in each basket, how many unique combinations can the farmer make?"} {"instruction": "A chat. A car park has 4 levels. Each level can accommodate 15 cars. If the car park is full, how many cars are parked there? Explain your reasoning."} {"instruction": "A chat. A factory produces 500 units of product A per day at a cost of $20 per unit. The factory wants to increase production by 25% while decreasing the cost per unit by 10%. What will be the new daily production cost for product A?"} {"instruction": "A chat. Two trains start from two different stations at the same time and travel towards each other. Train A travels at a speed of 60 km/h, while train B travels at a speed of 40 km/h. If the distance between the two stations is 500 km, after how many hours will they meet?"} {"instruction": "A chat. There are 5 apples and 7 oranges in a basket. If you randomly pick one fruit from the basket, what is the probability that it's an apple?"} {"instruction": "A chat. Solve the following quadratic equation: x^2 - 6x + 8 = 0. Show each step of your calculation.\n"} {"instruction": "A chat. A box contains 50 apples. If I give away 2 apples to each friend, how many friends can I share with before running out of apples? Show your work."} {"instruction": "A chat. A box contains 5 red balls, 4 blue balls, and 3 yellow balls. If you draw three balls from the box without looking, what is the probability that you will get at least one ball of each color?"} {"instruction": "A chat. Two trains are traveling towards each other on parallel tracks. Train A is moving at 40 mph, and Train B is moving at 60 mph. They are currently 200 miles apart. How long will it take for the trains to pass each other?"} {"instruction": "A chat. How many ways are there to arrange the letters in the word \"EXAMPLE\"?"} {"instruction": "A chat. A train leaves from Town A to Town B at 3:00 PM, traveling at a constant speed of 60 miles per hour. Another train leaves from Town B to Town A at the same time, traveling at a constant speed of 90 miles per hour. The distance between the two towns is 300 miles. At what time will the trains pass each other?"} {"instruction": "A chat. If a car gets 30 miles per gallon and has a 15-gallon fuel tank, how far can it travel on a full tank before needing to refuel?"} {"instruction": "A chat. A website gets 10000 visits per day. Each visitor views an average of 3 pages. What is the total number of page views in a year? Assume a year has 365 days."} {"instruction": "A chat. In a classroom, there are 5 boys and 7 girls. Each student shakes hands with every other student exactly once. How many handshakes occur?"} {"instruction": "A chat. There are 10 apples on a table. You took away 4 apples. How many apples do you have?"} {"instruction": "A chat. Sarah has twice as many cats as dogs. If she has 18 pets in total, how many dogs does she have?"} {"instruction": "A chat. A group of friends decides to order pizza for dinner. They want to split the cost evenly among all 10 of them. If the total cost of the pizzas is $120, how much should each person contribute?"} {"instruction": "A chat. A factory produces 200 units of product A every day. How many units will be produced in 45 days if the factory operates every day?"} {"instruction": "A chat. A water tank has a capacity of 12,000 liters. If it takes 3 hours to fill the tank completely using a pipe with a flow rate of 1,500 liters per hour, how much water was already in the tank before filling started?"} {"instruction": "A chat. If a car rental company has 50 cars and rents them out at an average rate of $30 per day, how much revenue would they make in one month if the cars are rented for an average of 15 days each?"} {"instruction": "A chat. There are 12 socks in a drawer: 6 black socks and 6 white socks. The room is completely dark, and you cannot see the color of the socks. What is the minimum number of socks you need to pull out of the drawer to guarantee that you have at least one matching pair?"} {"instruction": "A chat. If there are approximately 7.9 million species of animals on Earth, and insects make up about 80% of all animal species, how many insect species are there?"} {"instruction": "A chat. A company has 50 employees, and each employee works 8 hours a day for 5 days a week. If the average hourly wage is $20, how much does the company spend on wages in one month (assuming 4 weeks)?"} {"instruction": "A chat. In a game show, there are three doors. Behind one door is a car, and behind the other two doors are goats. You choose Door 1. The host, who knows what's behind each door, opens Door 3 to reveal a goat. Should you switch your choice to Door 2 or stick with Door 1? What are the probabilities of winning the car in each case?"} {"instruction": "A chat. A train leaves from station A heading towards station B, which is 200 miles away. The train travels at a constant speed of 50 miles per hour. At the same time, another train leaves from station B heading towards station A, traveling at a constant speed of 70 miles per hour. How far apart are the two trains when they meet?"} {"instruction": "A chat. In a certain city, there are 20,000 households. The average annual income of these households is $50,000. If the top 5% of households have an average annual income of $200,000, what is the average annual income of the remaining 95% of households?"} {"instruction": "A chat. In a town, 60% of the population are vegetarians, and 40% are non-vegetarians. Among the vegetarians, 70% prefer tea over coffee. Among the non-vegetarians, 80% prefer coffee over tea. If a person is chosen randomly from the town, what is the probability that they prefer tea?"} {"instruction": "A chat. There are 5 people in a room, each holding a different number of balloons. Person A has 7 balloons, person B has 10 balloons, person C has 15 balloons, person D has 20 balloons, and person E has 25 balloons. If everyone pops one balloon from every other person in the room, how many balloons remain intact?"} {"instruction": "A chat. In a village, there are 50 houses. Each house has a dog and a cat. If each dog barks at the cats in their own house and two neighboring houses, how many total barks are heard?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. Halfway through the journey, it stops for 20 minutes due to a technical issue. The entire trip takes 2 hours and 40 minutes. How long would the trip take without the stop?"} {"instruction": "A chat. If you were to walk non-stop at a pace of 3 miles per hour, how long would it take you to travel the circumference of the Earth?"} {"instruction": "A chat. A bakery sells cupcakes in boxes of 6 and 8. If a customer wants to buy exactly 50 cupcakes, how many boxes of each size should they purchase?"} {"instruction": "A chat. In how many ways can 6 different books be arranged on a shelf if one specific book must always be in the middle?"} {"instruction": "A chat. A bacteria colony doubles its population every 6 hours. If there are initially 500 bacteria, how many bacteria will there be after 2 days?"} {"instruction": "A chat. A man travels half of his journey by car at a speed of 60 km/h and the other half by train at a speed of 90 km/h. What is his average speed during the entire journey?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 10 feet and a height of 12 feet. What is its volume in gallons? (Note: 1 cubic foot = 7.48 gallons)"} {"instruction": "A chat. A factory produces 150 widgets per hour. If the factory operates for 8 hours a day, how many widgets will it produce in 5 days?"} {"instruction": "A chat. If one apple costs $0.75, how much would 30 apples cost? Include your logic."} {"instruction": "A chat. In a group of friends, Alex is taller than Ben, and Ben is taller than Chris. If David is shorter than Alex but taller than Chris, who is the shortest among them?"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour and takes 8 hours to complete its journey. If it stops at a station for 1 hour during the trip, how long was the actual travel time?"} {"instruction": "A chat. Five friends went to a restaurant and ordered a pizza. The pizza was cut into 8 equal slices. If each friend ate at least one slice, what is the maximum number of slices any single friend could have eaten?"} {"instruction": "A chat. A rectangular garden is 3 times longer than it is wide. If the perimeter of the garden is 80 meters, what is the length of the garden?"} {"instruction": "A chat. A cruise ship company offers vacation packages ranging from 7 to 14 days. The ship has a capacity of 3000 passengers and operates year-round. The company needs to allocate resources for food, entertainment, and staff salaries. Assuming an average daily expense of $100 per passenger for food and entertainment, and an average staff salary of $2000 per month (with 500 staff members), calculate the total annual operating cost for the cruise ship. Additionally, determine the minimum ticket price needed to cover these expenses if the company aims for a 20% profit margin.\n"} {"instruction": "A chat. There are 50 people in a room. What is the probability that at least two people share the same birthday? Ignore leap years for simplicity."} {"instruction": "A chat. A man buys a car for $20,000 and sells it after one year for $16,000. He then buys another car for $25,000 and sells it after one year for $22,000. What is his total loss on both transactions?"} {"instruction": "A chat. John has 6 cousins. Each cousin has 4 siblings. How many cousins does John have in total? Include your logic."} {"instruction": "A chat. In a physics experiment, a ball is dropped from a height of 50 meters. Calculate the time it takes for the ball to reach the ground, assuming no air resistance. Use the formula t = \u221a(2h/g), where h is the height and g is the acceleration due to gravity (9.81 m/s\u00b2). Show your work.\n"} {"instruction": "A chat. If a car travels at a constant speed of 60 miles per hour, how far will it travel in 2 days and 12 hours?"} {"instruction": "A chat. A train leaves Station A and travels towards Station B at a constant speed of 60 mph. At the same time, another train leaves Station B and travels towards Station A at a constant speed of 90 mph. The distance between the two stations is 300 miles. How far apart are the trains one hour before they meet?"} {"instruction": "A chat. A store is having a sale on shirts, offering a 25% discount off the original price. If the original price of a shirt was $40, what will be the new price after the discount? Explain your calculations.\n"} {"instruction": "A chat. In a town, there are 10 families. Each family has at least one child. If no two families have the same number of children and each family has at most 4 children, what is the total number of children in the town?"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B per day. Product A requires 4 workers to produce, while product B requires 3 workers. How many total workers are needed to maintain daily production levels?"} {"instruction": "A chat. A bag contains 4 red balls, 6 blue balls, and 10 green balls. If you randomly pick one ball from the bag without looking, what is the probability that it will be either a red or a blue ball?"} {"instruction": "A chat. A factory produces widgets in batches. The first batch has 100 widgets, and each subsequent batch has 10 more widgets than the previous batch. How many widgets will the factory produce after completing the 10th batch?"} {"instruction": "A chat. An insurance company offers various life insurance policies with different premium rates based on age, gender, and health status. Calculate the expected annual revenue from premiums if the company has 100,000 policyholders, with the following distribution: 40% are males aged 25-34, 30% are females aged 35-44, 20% are males aged 45-54, and 10% are females aged 55-64. Premium rates vary as follows: Males aged 25-34 pay $400/year, females aged 35-44 pay $600/year, males aged 45-54 pay $800/year, and females aged 55-64 pay $1,200/year. Provide step-by-step reasoning for your calculation.\n"} {"instruction": "A chat. Calculate the area of a trapezoid with bases of length 6 and 10, and a height of 4."} {"instruction": "A chat. There are 4 red balls and 6 blue balls in a bag. If you draw two balls without replacement, what is the probability that both balls are of different colors?"} {"instruction": "A chat. A certain recipe calls for 3 cups of flour, 2 cups of sugar, and 1 cup of milk to make a batch of cookies. If you want to make half a batch of these cookies, how many cups of each ingredient will you need?"} {"instruction": "A chat. A restaurant chain wants to analyze the efficiency of its food delivery service. They have 100 delivery drivers, each working 8 hours a day. On average, a driver takes 30 minutes to complete one delivery, including travel time and handling the order. The company wants to increase its daily deliveries by 20% without hiring more drivers or extending their work hours. Calculate the reduction in time per delivery needed to achieve this goal.\n"} {"instruction": "A chat. In a family with 7 children, each child has at least one brother and one sister. What is the minimum number of boys and girls in the family?"} {"instruction": "A chat. Find the sum of the first 100 terms of the arithmetic sequence with a_1 = 5 and d = 7."} {"instruction": "A chat. A store sells bags of candy with each bag containing 12 pieces of candy. If they sell 25 bags of candy every day, how many individual pieces of candy do they sell in a week?"} {"instruction": "A chat. A box contains 8 red balls, 6 blue balls, and 4 green balls. If you randomly pick two balls from the box without replacement, what is the probability that both balls are the same color?"} {"instruction": "A chat. If you flip a fair coin 3 times, what is the probability of getting exactly 2 heads and 1 tail?"} {"instruction": "A chat. A gardener can water 10 plants in 15 minutes using a single hose. How long will it take to water 40 plants?"} {"instruction": "A chat. A company has 6 managers and 24 employees. The company wants to form a committee consisting of 2 managers and 5 employees. How many different committees can be formed?"} {"instruction": "A chat. A train travels from Town A to Town B at an average speed of 80 miles per hour. The distance between the two towns is 240 miles. How long does it take for the train to travel this distance?"} {"instruction": "A chat. A city has a population of 500,000 people. The city government decides to implement a new tax that will charge each person $10 per month. How much money will the city collect in taxes over the course of one year?"} {"instruction": "A chat. In a village, there are 10 houses in a row. Every day, one person from each house goes to the market to buy groceries. On Monday, they all go at different times of the day. If John from House 1 and Mary from House 2 always go together, what is the probability that on Tuesday, they will meet again at the market?"} {"instruction": "A chat. In a room filled with people, half of them are wearing glasses, one-third are wearing hats, and one-sixth are wearing both glasses and hats. What fraction of the people in the room are wearing either glasses or hats?"} {"instruction": "A chat. A rectangle has a length of 12 meters and a width of 8 meters. If both the length and width are increased by 50%, what is the new area of the rectangle?"} {"instruction": "A chat. In a town, there are 3 barbers. Barber A has the best haircut in town, Barber B has the second-best haircut, and Barber C has the worst haircut. All three of them give haircuts to each other only. Who should you go to for a haircut?"} {"instruction": "A chat. In a room full of people, 40% are wearing glasses, and 60% are wearing hats. If everyone in the room is either wearing glasses or a hat, but not both, how many people are in the room if there are 30 more people wearing hats than glasses?"} {"instruction": "A chat. A store sells bags of candies with three different flavors: cherry, lemon, and orange. Each bag contains 10 candies, with 4 cherries, 3 lemons, and 3 oranges. If you randomly pick 2 candies from the bag without replacement, what is the probability that both candies will be of the same flavor?"} {"instruction": "A chat. There are 20 people in a room, including Tom and Jane. If each person shakes hands with every other person exactly once, how many handshakes will there be?"} {"instruction": "A chat. There are 5 houses in a row on a street. Each house has a different color and each owner has a unique pet. The blue house is next to the red house. The cat lives in the yellow house. The dog lives next to the green house. The rabbit lives in the first house. Which house does the dog live in?"} {"instruction": "A chat. A car travels from point A to point B at a constant speed of 60 miles per hour and then returns to point A at a constant speed of 40 miles per hour. What is the average speed for the entire round trip?"} {"instruction": "A chat. In how many ways can a committee of 5 people be chosen from a group of 12 people, if two specific individuals cannot both be on the committee?"} {"instruction": "A chat. A box contains 6 red balls and 4 blue balls. If you draw 3 balls randomly without replacement, what is the probability that exactly 2 of them are red?"} {"instruction": "A chat. If a company produces 1000 units of a product per day and sells each unit for $50, how much revenue will they generate in a non-leap year?"} {"instruction": "A chat. In a small town, there are 3 doctors. Doctor A has twice as many patients as Doctor B, and Doctor C has half the number of patients as Doctor A. If there are a total of 1200 patients in the town, how many patients does each doctor have?"} {"instruction": "A chat. In a village, there are 10 houses. Every house has a cat living in it. Each cat catches 3 mice per day. How many mice do all the cats catch in one week?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the two towns is 120 miles. If the train leaves Town A at 10:00 AM and arrives in Town B at 1:00 PM, what is the train's speed?"} {"instruction": "A chat. A large supermarket chain wants to analyze its inventory management system to reduce waste and improve profitability. The store carries 5,000 different products, with varying shelf lives and sales rates. Develop a plan to categorize these products based on their perishability and popularity, and propose strategies to optimize stock levels, ordering frequency, and storage conditions. Describe your reasoning and calculations step-by-step.\n"} {"instruction": "A chat. A store offers a discount on a product that originally costs $80. After applying a 25% discount, customers also receive an additional 10% off the discounted price. What is the final price of the product after both discounts are applied?"} {"instruction": "A chat. A city is planning to construct a new sports complex with multiple facilities, including a stadium, swimming pool, and tennis courts. The total area of the complex is 50 acres, with the stadium taking up 30% of the space, the swimming pool occupying 20%, and the remaining area allocated for tennis courts and other amenities. Calculate the number of tennis courts that can be built if each court requires 0.5 acres of land, and provide step-by-step reasoning.\n"} {"instruction": "A chat. A restaurant serves a total of 1200 customers per day. If 60% of the customers order a burger, and each burger requires 150 grams of beef, how many kilograms of beef does the restaurant need daily?"} {"instruction": "A chat. Find the sum of the infinite geometric series: 1/2 + 1/4 + 1/8 + ..."} {"instruction": "A chat. A train leaves Town A traveling towards Town B at 50 mph. At the same time, another train leaves Town B traveling towards Town A at 70 mph. The distance between the two towns is 300 miles. How long will it take for the trains to meet each other?"} {"instruction": "A chat. In a class of 20 students, 12 play soccer, 8 play basketball, and 4 play both soccer and basketball. How many students do not play either sport?"} {"instruction": "A chat. If you travel at a constant speed of 60 kilometers per hour, how long will it take to cover a distance of 240 kilometers?"} {"instruction": "A chat. In a room, there are 4 mathematicians and 5 philosophers. Each mathematician knows at least one philosopher, but no two mathematicians know the same number of philosophers. What is the maximum number of philosophers that can be known by any single mathematician? Provide step-by-step logic."} {"instruction": "A chat. A company has two factories, A and B. Factory A produces 100 units per hour, while factory B produces 150 units per hour. If both factories operate for 12 hours a day, how many days will it take to produce 50,000 units?"} {"instruction": "A chat. If a hen and a half lays an egg and a half in a day and a half, how many eggs does one hen lay in one day? Explain your reasoning."} {"instruction": "A chat. If there are 8 billion people on Earth and each person has an average of 5,000 thoughts per day, how many total thoughts occur across the entire human population in one year?"} {"instruction": "A chat. Simplify the expression: 4(3x - 7) + 2(5x + 6)"} {"instruction": "A chat. A train travels from City A to City B at an average speed of 80 miles per hour. The distance between the two cities is 320 miles. On its return journey, the train travels at an average speed of 100 miles per hour. What is the average speed of the train for the entire round trip?"} {"instruction": "A chat. If a baker uses 2 eggs to make 3 cupcakes, how many eggs does he need to make 27 cupcakes? Show your calculations."} {"instruction": "A chat. A train travels from City A to City B at a constant speed of 60 miles per hour. Halfway through the journey, the train stops for 30 minutes due to technical issues. After the stop, the train continues its journey and reaches City B exactly 3 hours after leaving City A. What is the distance between City A and City B?"} {"instruction": "A chat. A train travels at a constant speed of 60 mph for the first half of its journey and then increases its speed to 80 mph for the second half. If the total distance of the journey is 280 miles, how long does the entire trip take?"} {"instruction": "A chat. If there are 8 planets in our solar system, and each planet orbits the Sun at a different speed, how many unique pairs of planets can be formed?"} {"instruction": "A chat. A factory produces 150 units per hour. How many units will it produce in a month if it operates 16 hours a day and there are 30 days in the month?"} {"instruction": "A chat. How much energy does a 100-watt light bulb use in one day?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 80 kilometers per hour. The distance between the two towns is 240 kilometers. How long does it take for the train to reach Town B?"} {"instruction": "A chat. (4^2 - 3 * 5) / (2 + 1)^2 ="} {"instruction": "A chat. A bakery sells cupcakes for $2 each and cookies for $1 each. Jane spent $20 on a combination of cupcakes and cookies. If she bought more cupcakes than cookies, what is the minimum number of cupcakes she could have purchased?"} {"instruction": "A chat. In a game, you have a 1/3 chance of winning $100, a 1/3 chance of losing $50, and a 1/3 chance of breaking even (neither winning nor losing). What is your expected value if you play this game once?"} {"instruction": "A chat. There are 25 red balls and 75 blue balls in a bag. If you randomly pick one ball from the bag, what is the probability that it is red? If you then put the ball back into the bag and mix the balls again, what is the probability that the second ball you pick is also red?"} {"instruction": "A chat. A store sells bags of candy with a discount when buying multiple bags. One bag costs $4, two bags cost $7, and three bags cost $9. How much would it cost to buy five bags?"} {"instruction": "A chat. If there are 20 people in a room and half of them are wearing glasses, how many people are not wearing glasses if two people are wearing contact lenses?"} {"instruction": "A chat. In a factory, 15 workers assemble a product in 3 hours. How long would it take for 60 workers to assemble the same product, assuming they work at the same rate? Explain your reasoning."} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. It takes 3 hours to travel from Town A to Town B. How long would it take for the same train to travel from Town A to Town C if the distance between Town A and Town C is twice the distance between Town A and Town B?"} {"instruction": "A chat. A factory makes 500 widgets in an hour. If they operate 24 hours a day, how many widgets do they make in a week? Explain step-by-step."} {"instruction": "A chat. There are 5 apples and 3 oranges in a basket. Sarah takes out 2 apples, while Tom takes out 1 orange. If John wants to take out an apple, what is the probability that he will pick an apple?"} {"instruction": "A chat. A grocery store chain is evaluating the feasibility of offering home delivery services to its customers. The company currently operates 50 stores across the region, each serving an average of 1,000 customers per day. To provide home delivery, the company would need to invest in a fleet of delivery vehicles and hire additional staff. Calculate the estimated costs and potential revenue generated from offering this service, taking into account factors such as vehicle purchase and maintenance expenses, labor costs, and projected customer demand for home delivery."} {"instruction": "A chat. In a room, there are 5 people and each person shakes hands with every other person exactly once. How many handshakes take place in total?"} {"instruction": "A chat. If a baker bakes 12 loaves of bread every hour and the bakery is open 8 hours a day, how many loaves of bread does the baker bake in a month (assume 30 days)? Show your calculations."} {"instruction": "A chat. If you have two US quarters, three dimes, and four nickels, how much money do you have in cents? Show your work."} {"instruction": "A chat. A train leaves a station at 9 AM and travels at a constant speed of 60 miles per hour. Another train leaves the same station at 10 AM and travels at a constant speed of 90 miles per hour. At what time will the second train catch up with the first train?"} {"instruction": "A chat. A bag contains 4 red balls and 6 blue balls. If you randomly pick two balls from the bag without replacement, what is the probability that both balls are red?"} {"instruction": "A chat. If a car travels at 60 miles per hour for 2 hours and then at 80 miles per hour for another 3 hours, how far has the car traveled in total?"} {"instruction": "A chat. If a car travels at a constant speed of 50 miles per hour, how far will it travel in 2 hours and 30 minutes?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 10 feet and a height of 15 feet. If it is filled with water at a rate of 4 cubic feet per minute, how long will it take to fill the tank completely?"} {"instruction": "A chat. A factory has 4 machines that produce identical items. Machine A produces 50 items per hour, machine B produces 60 items per hour, machine C produces 70 items per hour, and machine D produces 80 items per hour. How many items do all four machines produce together in an 8-hour workday?"} {"instruction": "A chat. Three friends went to dinner and received a bill for $300. They decided to split the bill evenly. However, they realized later that they had a discount coupon for $50 off. They decide to keep the discount amount proportional to their initial payment. How much should each friend pay now? Break down your answer."} {"instruction": "A chat. A train travels from Town A to Town B in 3 hours. The distance between the two towns is 180 miles. If another train leaves Town B at the same time as the first train and heads towards Town A, how long will it take for the two trains to meet if their combined speed is 90 mph?"} {"instruction": "A chat. A train leaves from New York City heading towards Los Angeles at 100 mph. Three hours later, a train leaves Los Angeles heading towards New York City at 200 mph. If they maintain their speeds and are on the same track, when will they meet?"} {"instruction": "A chat. A store sells apples for $1 each and oranges for $2 each. If Alice buys 5 fruits and spends exactly $7, how many oranges did she buy?"} {"instruction": "A chat. Jane has 15 cookies, eats 4, and then bakes 6 more. How many oranges does she have left?"} {"instruction": "A chat. If a farmer has 20 acres of land and wants to plant apple trees, with each tree requiring an area of 400 square feet, how many apple trees can the farmer plant on his land?"} {"instruction": "A chat. A group of friends went out for dinner. They decided to split the bill evenly among themselves. However, three of them forgot their wallets and couldn't pay. To make things fair, the remaining friends agreed to cover the cost for those who forgot their wallets by paying an extra $6 each. If the total bill was $108, how many friends were in the group originally?"} {"instruction": "A chat. If you were driving at a constant speed of 60 miles per hour, how far would you travel in 2 hours and 30 minutes?"} {"instruction": "A chat. Solve the system of linear equations: 2x - y = 8 and x + 3y = 7, using either substitution or elimination method. Explain your steps.\n"} {"instruction": "A chat. A square garden has an area of 256 square meters. If you want to build a fence around the garden that costs $10 per meter, how much will it cost?"} {"instruction": "A chat. A car factory produces 15 cars every hour. How many cars does it produce in a year? Assume the factory operates 16 hours a day and 5 days a week. Show your work."} {"instruction": "A chat. A farmer has 120 meters of fencing material to enclose a rectangular field. What should be the dimensions of the field so that its area is maximized?"} {"instruction": "A chat. If a company spends 30% of its revenue on salaries and has a total annual salary expense of $450,000, what is the company's annual revenue?"} {"instruction": "A chat. Solve the following differential equation: dy/dx = y/x with the initial condition y(1) = 2. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A cruise ship company wants to determine the optimal number of lifeboats to have onboard each vessel. Each lifeboat can hold up to 50 passengers, and the ships have a maximum capacity of 3,000 passengers. International maritime regulations require enough lifeboats to accommodate at least 125% of the passenger capacity. Calculate the minimum number of lifeboats needed to meet these requirements and provide step-by-step reasoning.\n"} {"instruction": "A chat. In a family of 5 people, there are two parents and three children. The father is older than the mother. The youngest child is younger than both siblings. If the oldest sibling is not the tallest, who is the youngest person in the family?"} {"instruction": "A chat. If a car travels at an average speed of 50 miles per hour and needs to cover a distance of 250 miles, how long will it take to reach its destination?"} {"instruction": "A chat. A factory produces widgets in batches of 100. If 5% of the widgets produced are defective, how many non-defective widgets will be in a batch of 200?"} {"instruction": "A chat. A company has 100 employees. The average salary of the male employees is $60,000 per year, while the average salary of the female employees is $50,000 per year. If there are twice as many male employees as female employees, what is the total annual payroll for the company?"} {"instruction": "A chat. There are 5 houses in a row, each painted with a different color. The green house is next to the white house. The blue house is not at either end of the row. The red house is two houses away from the yellow house. What color is the middle house?"} {"instruction": "A chat. If a car's fuel efficiency is 25 miles per gallon (mpg) and the price of gasoline is $4 per gallon, how much would it cost to drive 400 miles?"} {"instruction": "A chat. In a certain city, the population doubles every 40 years. If the current population is 50,000 people, what will be the population after 120 years?"} {"instruction": "A chat. Alice, Bob, and Carol each have a different number of apples. If Alice gives half of her apples to Bob, he will have twice as many apples as Carol. If Bob gives half of his apples to Carol, she will have three times as many apples as Alice. How many apples does each person have?"} {"instruction": "A chat. A box contains red balls and green balls. The probability of drawing a red ball is 1/3. If there are 36 balls in total, how many are green? Show your steps."} {"instruction": "A chat. A factory produces widgets in batches of 25. Each widget weighs 10 pounds. If a shipment requires 500 pounds of widgets, how many full batches are needed for the shipment?"} {"instruction": "A chat. If a person saves $200 every month for 5 years, how much interest will they earn if their savings account has an annual interest rate of 3% compounded monthly?"} {"instruction": "A chat. In a village, there are 50 houses. Each house has a dog that barks at cats but not at other dogs. One day, a cat enters the village and passes by all the houses. How many times will the cat be barked at?"} {"instruction": "A chat. John has twice as many apples as oranges. He gives half of his apples and a third of his oranges to his friend Mary. Now he has 8 more apples than oranges. How many apples did John have initially?"} {"instruction": "A chat. A store sells two types of cookies - chocolate chip and oatmeal raisin. The chocolate chip cookies cost $1.50 each, while the oatmeal raisin cookies cost $2.00 each. If a customer buys a total of 12 cookies and spends exactly $22, how many of each type of cookie did they purchase?"} {"instruction": "A chat. A rectangular garden has a length of 12 meters and a width of 8 meters. What is the perimeter of the garden?"} {"instruction": "A chat. On Monday, Sam ate half of a pizza. Every day after that, he ate half of what remained from the previous day. By Sunday, how much of the pizza did Sam eat?"} {"instruction": "A chat. A company produces a product at a cost of $50 per unit. They sell each unit for $75. The company has fixed costs of $10,000 per month. How many units must they sell to break even?"} {"instruction": "A chat. There are 6 red balls and 4 blue balls in a box. You randomly pick one ball from the box, then put it back before picking another ball. What is the probability of picking a red ball followed by a blue ball?"} {"instruction": "A chat. A box contains 10 black socks and 10 white socks. You cannot see inside the box. How many socks must you take out of the box to guarantee you have at least one pair of matching socks?"} {"instruction": "A chat. Solve the recurrence relation T(n) = 2T(n/2) + n with initial condition T(1) = 1."} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 15 meters. What is the area of the garden, and what would be the total cost to cover the entire garden with grass that costs $3 per square meter?"} {"instruction": "A chat. A zoo wants to create a new exhibit featuring rare and endangered species from around the world. The exhibit will require an investment of $4 million in habitat construction, animal acquisition, and transportation costs. Calculate the additional revenue required to cover this investment, given that the zoo currently has annual revenues of $20 million and an estimated 10% increase in visitor numbers due to the new exhibit. Also, consider any ongoing maintenance and care costs associated with the new animals.\n"} {"instruction": "A chat. An airline wants to optimize its flight schedule by reducing layover times for connecting flights. Currently, there are 100 daily flights between City A and City B, with an average layover time of 2 hours for passengers connecting to other destinations. The airline plans to reduce the average layover time by 30 minutes. Calculate the potential increase in passenger satisfaction and estimate the financial benefits for the airline, considering factors such as increased ticket sales and reduced operating costs.\n"} {"instruction": "A chat. ((7 - 3)^2 * (5 + 4) / 3) - 6 ="} {"instruction": "A chat. A hospital is planning to expand its emergency department by adding 50 additional beds. Each bed requires an investment of $15,000 in equipment and furniture. Additionally, the hospital needs to hire more staff to accommodate the increased patient capacity. Estimate the number of nurses and support staff required, assuming a nurse-to-patient ratio of 1:4 and a support staff-to-nurse ratio of 1:3. Calculate the initial investment needed for the expansion and the ongoing staffing costs, given average annual salaries of $70,000 for nurses and $40,000 for support staff.\n"} {"instruction": "A chat. Solve: ((7 - 3)^2 * 4 + 6 / 2) - 5 * 3 ="} {"instruction": "A chat. A theme park is planning to add a new roller coaster to attract more visitors. The proposed roller coaster will have a maximum capacity of 24 riders per train and operate at an average speed of 60 mph. The ride duration is 3 minutes, and the loading/unloading process takes 2 minutes per train. Estimate the hourly throughput of the roller coaster and determine if it can accommodate the projected increase in visitor numbers without causing excessive wait times.\n"} {"instruction": "A chat. Calculate the Fourier series representation of the function f(x) = x^2 on the interval [-\u03c0, \u03c0]. Explain your reasoning.\n"} {"instruction": "A chat. There are 8 apples in a basket. You remove 3 apples and then replace them with 3 oranges. Then you remove 2 more apples and replace them with 2 oranges. Finally, you remove 1 apple and replace it with an orange. How many apples are left in the basket?"} {"instruction": "A chat. If a factory produces 500 units of product A and 300 units of product B every day, how many days will it take to produce 12,000 units of product A and 9,000 units of product B?"} {"instruction": "A chat. A company sells two types of products: Product X and Product Y. The profit per unit for Product X is $12, and the profit per unit for Product Y is $8. If the company wants to make a total profit of $1000, how many units of each product must they sell if they want to sell twice as many units of Product X as Product Y?"} {"instruction": "A chat. A factory produces 250 units of product A every hour and 350 units of product B every hour. The factory operates for 16 hours a day, 5 days a week. How many units of both products are produced in a week?"} {"instruction": "A chat. There are 24 hours in a day and 60 minutes in an hour. How many minutes are there in a week? Show your work."} {"instruction": "A chat. An airline wants to optimize its flight schedule between two cities, City A and City B. The distance between the cities is 1,000 miles, and the airline operates three different aircraft models: Model X (180 passengers), Model Y (250 passengers), and Model Z (350 passengers). Each model has different fuel consumption rates and operational costs. Determine the most cost-effective combination of aircraft models and flights per day to maximize profit while meeting the demand of 6,000 passengers per day. Consider factors such as fuel price, maintenance costs, and crew salaries.\n"} {"instruction": "A chat. A food processing company wants to optimize its production line by reducing waste and improving efficiency. The current process involves multiple stages, including raw material preparation, cooking, packaging, and quality control. Identify potential areas for improvement and suggest strategies for minimizing waste, streamlining operations, and increasing overall productivity. Explain your methodology and provide supporting data or examples.\n"} {"instruction": "A chat. An event planning company is organizing a large conference with multiple parallel sessions. The conference will have 10,000 attendees and feature 200 speakers across 50 different sessions. Each session can accommodate up to 500 people, but some sessions may have higher demand than others. Develop a scheduling plan that maximizes attendee satisfaction while minimizing logistical challenges, such as room setup and audiovisual support.\n"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour. It makes a stop for 30 minutes before continuing its journey for another 120 miles. If the entire trip takes 4 hours, how far did the train travel before making the stop?"} {"instruction": "A chat. If a tree grows 2 rings per year and the tree is cut down after it has grown 100 rings, how many years did the tree live? Explain your reasoning."} {"instruction": "A chat. There are 50 students in a class. Each student has either a cat or a dog as a pet. If there are 20 more dogs than cats, how many cats do the students have?"} {"instruction": "A chat. In a group of 100 people, there are 30 vegetarians. Among the vegetarians, 20% are men. What percentage of the entire group is made up of vegetarian men?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes 4 hours for the train to travel between two cities. Halfway through the journey, the train stops for 30 minutes due to a technical issue. How long does it take for the train to complete its journey?"} {"instruction": "A chat. There are two boxes in front of you. Box A contains 4 gold coins and 6 silver coins, while Box B contains 7 gold coins and 3 silver coins. You need to pick one coin from one box without looking inside. Which box should you choose to maximize your chances of picking a gold coin?"} {"instruction": "A chat. If a baker uses 2 eggs to make 3 cupcakes, how many eggs will he need to make 36 cupcakes? Explain your thought process."} {"instruction": "A chat. A company sells products in boxes containing 6 small items, 8 medium items, and 10 large items. If a customer orders 60 small items, 72 medium items, and 90 large items, how many boxes does the company need to send?"} {"instruction": "A chat. If a tree produces 12,000 leaves each year and each leaf has an average of 8 veins, how many total veins does the tree produce in its leaves over a decade? Show your work."} {"instruction": "A chat. In a class of 40 students, there are 12 boys who play soccer, 16 girls who play basketball, and 8 boys who don't play any sport. How many girls don't play any sport?"} {"instruction": "A chat. In a group of 50 people, 30% have blue eyes, 40% have brown eyes, and the rest have green eyes. How many people in the group have green eyes?"} {"instruction": "A chat. If a human body has about 5 liters of blood and can lose up to 15% before it becomes life-threatening, how much blood in milliliters can a person lose safely? Show your work."} {"instruction": "A chat. If a person drinks an average of 8 cups of water per day, how many gallons of water will they consume in a month with 30 days? (1 gallon = 16 cups)"} {"instruction": "A chat. A father is four times as old as his son. In 20 years, the father will be twice as old as his son. How old is the son currently?"} {"instruction": "A chat. A group of friends decide to split the cost of a $100 gift card evenly among themselves. If each person contributes $8, how many people are in the group?"} {"instruction": "A chat. In a class of 25 students, the average age is 15 years. If the teacher's age is included, the average age increases by one year. How old is the teacher?"} {"instruction": "A chat. A box contains 21 red balls, 45 blue balls and 34 green balls. If a ball is drawn at random, what is the probability that it is not blue? Show your work."} {"instruction": "A chat. In a group of 60 people, 35 have brown eyes, 25 have blue eyes, and 15 have green eyes. What is the probability that a person chosen randomly from the group has either brown or green eyes?"} {"instruction": "A chat. There are 12 apples on a table. John takes away 4 apples and then gives 2 apples to Mary. How many apples does John have left?"} {"instruction": "A chat. A rectangular garden has a length of 15 meters and a width of 8 meters. What is the area of the garden in square meters, and what is the perimeter in meters?"} {"instruction": "A chat. Solve the linear programming problem: maximize P = 3x + 4y subject to x + y \u2264 7, x \u2265 0, and y \u2265 0."} {"instruction": "A chat. In a room, there are 10 people. Each person has an envelope with their name on it. If each person randomly takes one envelope from the pile without looking at the name, what is the probability that no one gets the envelope with their own name?"} {"instruction": "A chat. A sequence is defined by the recursive formula T(n) = T(n-1) + n^2, with T(1) = 1. What is the value of T(6)?"} {"instruction": "A chat. Prove the Central Limit Theorem, providing a step-by-step explanation.\n"} {"instruction": "A chat. If a cyclist covers a distance of 90 kilometers in 3 hours, what is their average speed in kilometers per hour?"} {"instruction": "A chat. A sphere has a volume of 36\u03c0 cubic inches. What is the radius of the sphere in inches?"} {"instruction": "A chat. A factory produces 150 widgets per hour. How many widgets will it produce in a non-stop 30-day month?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. If it takes the train 2 hours to travel from station A to station B, how long would it take for a car traveling at 40 miles per hour to cover the same distance?"} {"instruction": "A chat. If a clock takes 7 seconds to strike 7, how long will it take to strike 10?"} {"instruction": "A chat. A train travels at a constant speed and takes 4 hours to travel between two cities. If the distance between the cities was reduced by half, how long would it take for the train to travel between them?"} {"instruction": "A chat. A hotel chain is evaluating the profitability of its various properties and considering renovations or closures based on performance. Each property has different room capacities, occupancy rates, average daily rates (ADR), and operating costs. Determine which properties should be prioritized for renovation or closure based on their contribution to overall profitability. Consider factors such as market demand, competitive landscape, and potential return on investment from renovations.\n"} {"instruction": "A chat. A mother has three daughters. Each daughter has one brother. How many children does the mother have?"} {"instruction": "A chat. Emily has twice as many books as Sarah. Together, they have 18 books. How many books does Sarah have?"} {"instruction": "A chat. A company has a monthly fixed cost of $5,000 for rent and utilities. The variable cost per unit produced is $10. If the selling price per unit is $25, how many units must be sold each month to break even?"} {"instruction": "A chat. A library has a collection of 5000 books. If 60% of these books are fiction and the rest are non-fiction, how many more fiction books does the library have than non-fiction books?"} {"instruction": "A chat. There are 5 red marbles, 3 blue marbles, and 2 green marbles in a bag. If you randomly pick one marble from the bag without looking, what is the probability that it is either red or blue?"} {"instruction": "A chat. In a standard deck of 52 playing cards, what is the probability of drawing four cards with exactly one card from each suit (hearts, diamonds, clubs, spades)?"} {"instruction": "A chat. What is the total surface area of a cube with an edge length of 5 meters?"} {"instruction": "A chat. In a family of 6 people, there are 4 children and 2 parents. The father is older than the mother, who is older than all the children. The youngest child is half the age of the second oldest child. If the sum of the ages of the three youngest children is equal to the age of the oldest child, how old is the youngest child?"} {"instruction": "A chat. If a baker bakes 12 loaves of bread every hour and works 8 hours a day, how many loaves does he bake in a month (30 days)? Provide step-by-step logic."} {"instruction": "A chat. A train travels from City A to City B at a constant speed of 60 miles per hour. The distance between the two cities is 180 miles. How long does it take for the train to travel from City A to City B?"} {"instruction": "A chat. Prove that the function f(x) = x^3 - 3x + 2 is continuous at x = 1. Explain your reasoning.\n"} {"instruction": "A chat. A farmer has a rectangular field measuring 300 meters long and 200 meters wide. He wants to plant corn in half of the field and wheat in the other half. The corn requires 2 kilograms of seeds per square meter, while the wheat requires 3 kilograms of seeds per square meter. How many kilograms of each type of seed will he need?"} {"instruction": "A chat. If you have a 1000-page book and you want to place a bookmark on every 50th page starting from page 50, how many bookmarks will you need?"} {"instruction": "A chat. (8 * 3) / 4 + 6 - 2^3 ="} {"instruction": "A chat. In a class of 30 students, there are twice as many boys as girls. The teacher divides the class into groups of 5 students each. What is the probability that a randomly chosen group will have exactly 3 boys and 2 girls?"} {"instruction": "A chat. In a certain city, the probability of rain on any given day is 30%. What is the probability that it will rain on exactly 3 out of 5 consecutive days?"} {"instruction": "A chat. There are 10 birds on a tree. A hunter shoots one bird. How many birds remain on the tree?"} {"instruction": "A chat. In a group of people, 75% have brown eyes, and 25% have blue eyes. If there are 12 people with blue eyes, how many people are in the group?"} {"instruction": "A chat. A train leaves Station A at 60 mph and another train leaves Station B at 80 mph. Both trains are heading towards each other on the same track. If the distance between Station A and Station B is 420 miles, how long will it take for both trains to collide?"} {"instruction": "A chat. If a car drives at an average speed of 50 mph for 6 hours, then slows down to 30 mph for another 4 hours, what is the total distance traveled?"} {"instruction": "A chat. A factory produces 1200 units of a product every hour. Due to increasing demand, they decide to increase production by 8% each week. How many units will they produce in an hour after 4 weeks?"} {"instruction": "A chat. You have a basket with 6 apples. You give half of them to your friend. Then you eat one of the remaining apples. How many apples do you have left? Reason step-by-step."} {"instruction": "A chat. A factory produces 1,200 widgets every day. Each widget has a 5% chance of being defective. If all defective widgets are replaced at no additional cost, how many total widgets will the factory produce on average in one week?"} {"instruction": "A chat. A train travels at a speed of 80 km/h for 3 hours. How many meters does it travel during that time?"} {"instruction": "A chat. Using the Pythagorean theorem, find the length of the hypotenuse in a right triangle with legs measuring 5 and 12 units. Show your work.\n"} {"instruction": "A chat. A company has 10 employees, and they need to form a committee of 3 people. How many different committees can be formed?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 10 feet and a height of 20 feet. What is the volume of the tank in cubic feet?"} {"instruction": "A chat. An electronics manufacturer wants to increase its production capacity by building a new factory. The factory will produce 100,000 units per month, with each unit requiring 1 hour of labor to assemble. Workers in the factory will work 8-hour shifts, 5 days a week. Determine the number of workers required to meet the production target, taking into account a 10% employee absenteeism rate due to sick leave, vacations, and other factors. Describe your reasoning and calculations.\n"} {"instruction": "A chat. A company sells two types of products, X and Y. The profit per unit for product X is $10, while the profit per unit for product Y is $15. If the company sold 800 units of product X and 1,200 units of product Y last month, what was their total profit?"} {"instruction": "A chat. Three friends decide to split the cost of a $60 meal evenly. However, they later realize that they received a 20% discount on their bill. What should each friend pay if they want to split the discounted bill evenly?"} {"instruction": "A chat. You have a box containing 50 red balls and 50 blue balls. If you randomly pick a ball from the box without looking, what is the probability that it will be a red ball? Show your work."} {"instruction": "A chat. A hospital is evaluating the efficiency of its emergency department (ED) by analyzing patient wait times and treatment durations. The ED has 20 treatment rooms, and each room can accommodate one patient at a time. On average, patients spend 30 minutes waiting to be seen by a doctor and another 90 minutes receiving treatment. Calculate the maximum number of patients that can be treated in the ED during a 24-hour period, assuming constant patient flow and no downtime between treatments.\n"} {"instruction": "A chat. In a chemistry experiment, a solution contains 5% salt by mass. If you have 300 grams of this solution, how many grams of pure salt would need to be added to increase the concentration to 10%?"} {"instruction": "A chat. In a bag, there are 10 red balls and 6 blue balls. You draw two balls at random without replacement. What is the probability that you draw one red ball and one blue ball?"} {"instruction": "A chat. If a sequence follows the pattern x_n = x_(n-1) + 6 for n > 1 and x_1 = 5, what is the value of x_10?"} {"instruction": "A chat. A factory produces widgets in batches of 1000. Each widget weighs 5 pounds. The factory can ship a maximum of 20000 pounds per truck. If the factory produces 5000 widgets per day, how many trucks will they need to transport the widgets produced in one day?"} {"instruction": "A chat. A factory produces 250 units of product A and 400 units of product B every day. Product A requires 3 hours of labor per unit, while product B requires 2 hours of labor per unit. If there are 8 working hours in a day, how many workers does the factory need to meet daily production goals?"} {"instruction": "A chat. In a small town, there are 10 houses on one side of the street and 15 houses on the other side. If each house has an even number of occupants, what is the minimum total number of people living in all the houses combined?"} {"instruction": "A chat. In a bag containing red and blue marbles, the ratio of red marbles to blue marbles is 3:2. If there are 25 marbles in total, how many more red marbles must be added to make the ratio 7:3?"} {"instruction": "A chat. There are 10 boxes on a table. One of the boxes contains a prize. You can pick any 3 boxes to open and check for the prize. After you have picked your 3 boxes, the host will remove one of the remaining 7 boxes that does not contain the prize. Then, you are given the option to switch one of your original picks with one of the remaining 6 boxes or keep your original choices. What should you do to maximize your chances of finding the prize?"} {"instruction": "A chat. In a small town, there are 10 houses on one side of the street and 12 houses on the other side. Each house has a unique number from 1 to 22. The sum of the house numbers on one side is equal to the sum of the house numbers on the other side. What is the number of the first house on the side with 10 houses?"} {"instruction": "A chat. If a city has an annual population growth rate of 2%, and its current population is 1 million people, what will be the population after 6 years?"} {"instruction": "A chat. A man gives half of his money to his wife, then he gives half of the remaining amount to his son, and finally, he gives $20 to his daughter. He has no money left after giving away these amounts. How much money did the man originally have?"} {"instruction": "A chat. A bookshelf holds 5 rows of books. Each row can hold up to 30 books. If the bookshelf is half full, how many books are on the shelf? Explain your thought process."} {"instruction": "A chat. A factory produces 1200 widgets per hour and operates for 16 hours a day. If the factory has a defect rate of 2%, how many defective widgets are produced in a week?"} {"instruction": "A chat. In a group of 25 people, what is the probability that at least two people share the same birthday? Assume that there are no leap years."} {"instruction": "A chat. In a bag of marbles, 3 out of every 5 marbles are red. If there are 25 marbles in the bag, how many are not red? Explain your thought process."} {"instruction": "A chat. The population of a city increases by 5% every year. If the current population is 100,000, what will be the population after three years? Use compound interest formula to solve this problem.\n"} {"instruction": "A chat. There are 7 days in a week. How many weeks are there in 365 days? Show your calculation process."} {"instruction": "A chat. How many diagonals does a regular polygon with 12 sides have?"} {"instruction": "A chat. There are 5 apples and 7 oranges in a basket. If you randomly pick two fruits from the basket without looking, what is the probability that both fruits are oranges?"} {"instruction": "A chat. A train leaves Town A at 3 PM and arrives in Town B at 7 PM. Another train leaves Town B at 4 PM and arrives in Town A at 8 PM. At what time do the two trains cross each other?"} {"instruction": "A chat. How many possible unique arrangements can be made from the letters of the word \"MATHEMATICS\"?"} {"instruction": "A chat. A factory produces widgets in batches. In one hour, it can produce either 100 small widgets or 50 large widgets. If the factory needs to produce a total of 400 small widgets and 200 large widgets, how many hours will it take?"} {"instruction": "A chat. In a group of people, 70% are wearing glasses and 30% are not. Among those who wear glasses, 60% have brown hair. What percentage of the group has both glasses and brown hair?"} {"instruction": "A chat. In an election, candidate A received 55% of the votes, while candidate B received 45%. If candidate A won by 2,000 votes, what was the total number of votes cast in the election?"} {"instruction": "A chat. If a car rental company has 150 cars, and they are rented out at an average rate of 65% during weekdays and 90% during weekends, how many cars can be expected to be rented on a typical week?"} {"instruction": "A chat. In a town, 2/3 of the men are married to 3/4 of the women. What fraction of the total population is married?"} {"instruction": "A chat. If you toss a fair coin three times, what is the probability of getting at least two heads?"} {"instruction": "A chat. A factory produces 200 widgets in 8 hours. If the factory operates for 12 hours a day, how many widgets can it produce in one week (7 days)?"} {"instruction": "A chat. A factory produces 250 widgets per hour. The factory operates for 16 hours a day, 5 days a week. How many widgets does the factory produce in one week?"} {"instruction": "A chat. There are 100 people in a room. Some of them wear glasses, some wear contact lenses, and some don't use any vision correction. Among those who wear glasses, 40% also wear contact lenses. What percentage of people in the room wears both glasses and contact lenses?"} {"instruction": "A chat. If I flip a coin twice, what is the probability that I will get two heads? Explain your calculations."} {"instruction": "A chat. A train travels at an average speed of 80 miles per hour for a distance of 240 miles. How long does it take for the train to complete its journey?"} {"instruction": "A chat. If you want to paint a rectangular room that measures 12 feet long, 10 feet wide, and 8 feet high, how many square feet of wall space will you need to paint?"} {"instruction": "A chat. An apple costs 40 cents, a banana costs 60 cents and a grapefruit costs 80 cents. How much would a pear cost if it followed the same pattern? Explain your reasoning."} {"instruction": "A chat. A rectangular garden has a length of 30 feet and a width of 20 feet. If the owner wants to build a fence around the entire garden with an additional 2 feet on each side for a walking path, what will be the perimeter of the fenced area?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 mph. It then continues to Town C at a speed of 80 mph. The distance between Town A and Town B is 180 miles, and the distance between Town B and Town C is 240 miles. How long does it take for the train to travel from Town A to Town C?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed of 60 mph. The distance between the two cities is 240 miles. At the same time, another train leaves City B heading towards City A at a constant speed of 40 mph. When will the two trains meet each other?"} {"instruction": "A chat. In a town, 30% of the population are vegetarians. Out of the non-vegetarian population, 40% prefer chicken over other meats. If there are 12,000 people in the town, how many people prefer chicken?"} {"instruction": "A chat. There are 7 apples on the table. You take away 4. How many do you have now? Explain your thought process."} {"instruction": "A chat. A tree grows 2 cm per day. How many meters will it grow in a year? Show your steps."} {"instruction": "A chat. There are 10 houses on a street. The first house is red, the second house is blue, and the third house is green. If this pattern continues for all 10 houses, what color is the ninth house?"} {"instruction": "A chat. In how many ways can you arrange the letters of the word \"STATISTICS\" such that no two S's are adjacent?"} {"instruction": "A chat. If a store sells 80% of its inventory in one month, what percentage of the original inventory remains after two months if no new items are added to the stock?"} {"instruction": "A chat. ((8 - 2)^2 + (6 / 2) - 4) * 3 ="} {"instruction": "A chat. A store sells apples for $2 per pound and oranges for $3 per pound. If a customer buys 4 pounds of apples and 5 pounds of oranges, how much do they spend?"} {"instruction": "A chat. In a normal distribution with a mean of 50 and a standard deviation of 10, calculate the probability of randomly selecting a value between 40 and 60, showing your work.\n"} {"instruction": "A chat. A box contains 8 black balls and 7 white balls. If three balls are picked at random without replacement, what is the probability that all three balls are black? Explain your steps."} {"instruction": "A chat. If a rectangle's length is twice its width and its perimeter is 36 inches, what are the dimensions of the rectangle?"} {"instruction": "A chat. A box contains 12 black balls, 8 white balls, and 4 red balls. If you randomly pick two balls without replacement, what is the probability that both balls are black?"} {"instruction": "A chat. In a class of 30 students, 60% passed an exam. How many students failed the exam?"} {"instruction": "A chat. If a store sells 5 apples for $3, how much would it cost to buy 15 apples?"} {"instruction": "A chat. If a person invests $5,000 in a savings account with an annual interest rate of 3%, compounded quarterly, how much money will be in the account after 5 years?"} {"instruction": "A chat. I have 10 marbles in a bag: 5 red, 3 blue, and 2 green. What is the probability that I draw two red marbles without replacement?"} {"instruction": "A chat. A telecommunications company is upgrading its network infrastructure to improve coverage and data speeds. The current network consists of 1,000 cell towers, each with a coverage radius of 10 miles. To achieve the desired improvements, the company needs to increase its total coverage area by 30%. Calculate the number of additional cell towers required and their optimal placement, considering that new towers will have a coverage radius of 12 miles.\n"} {"instruction": "A chat. A rectangular garden has a length of 15 meters and a width of 8 meters. If you want to increase the area of the garden by 50%, what should be the new dimensions if only the length is increased while keeping the width constant?"} {"instruction": "A chat. There are 50 apples on a tree. You pick 10 apples, and your friend picks 15 apples. How many apples are left on the tree if another friend comes and takes away half of the remaining apples?"} {"instruction": "A chat. In a certain village, there are 200 houses. Each house has either a cat or a dog as a pet. If there are 120 cats and 80 dogs in the village, what is the probability that a randomly chosen house will have a cat?"} {"instruction": "A chat. A train travels at an average speed of 80 kilometers per hour. How long will it take to cover a distance of 400 kilometers?"} {"instruction": "A chat. A box contains 5 red balls and 3 green balls. You draw two balls from the box without replacement (meaning you don't put the first ball back before drawing the second one). What is the probability that both balls are red?"} {"instruction": "A chat. In a class, there are 15 boys and 10 girls. If the teacher randomly selects one boy and one girl to be class representatives, how many different pairs of representatives can be chosen?"} {"instruction": "A chat. A rectangular room measures 12 feet in length, 8 feet in width, and 10 feet in height. What is the total surface area of the walls and ceiling?"} {"instruction": "A chat. A company has a monthly budget of $10,000 for employee salaries. If they decide to give each of their 20 employees a 15% raise, what will be the new total monthly salary expense?"} {"instruction": "A chat. In a city, 60% of the population own a car. If the population of the city is 500,000 people, how many people own a car? Include your logic."} {"instruction": "A chat. In a class of 25 students, 60% of them passed an exam. How many students failed the exam?"} {"instruction": "A chat. In a family of 6 people, there are two parents and four children. Each child has one brother and two sisters. What is the gender distribution among the children?"} {"instruction": "A chat. A rectangular garden has a length of 15 meters and a width of 10 meters. If you want to build a walkway around the entire garden that is 1 meter wide, what will be the new dimensions of the garden including the walkway?"} {"instruction": "A chat. If a water tank is filled at a rate of 10 gallons per minute, how long will it take to fill a 500-gallon tank?"} {"instruction": "A chat. How many times does Earth orbit around the Sun in 100 years?"} {"instruction": "A chat. There are 5 apples in a basket. You take out 3 apples but then put back 2 apples. How many apples are left in the basket?"} {"instruction": "A chat. A company produces widgets at a cost of $5 per widget and sells them for $15 each. However, they have a fixed monthly overhead cost of $10,000. How many widgets do they need to sell in a month to break even?"} {"instruction": "A chat. A telecommunications company is planning to expand its network coverage by installing new cell towers across a rural area. The company needs to cover a total area of 10,000 square miles, and each cell tower has a coverage radius of 5 miles. Calculate the minimum number of cell towers needed to provide complete coverage, and estimate the cost of this project, given that each cell tower costs $300,000 to install and requires an annual maintenance budget of $50,000.\n"} {"instruction": "A chat. In a certain city, the ratio of men to women is 3:4. If there are 28,000 men in the city, how many people live in the city?"} {"instruction": "A chat. Evaluate the double integral \u222cR (x^2 + y^2)dA, where R is the region bounded by the circle x^2 + y^2 = 9."} {"instruction": "A chat. Solve the system of equations: x + y = 5 and 2x - y = 3, using either substitution or elimination method. Provide step-by-step instructions.\n"} {"instruction": "A chat. A rectangular garden has a length of 25 meters and a width of 12 meters. If the owner wants to increase the area of the garden by 50%, what should be the new dimensions if only the length is increased?"} {"instruction": "A chat. A train travels at a constant speed between two cities, which are 300 miles apart. It takes the train 6 hours to travel from City A to City B. On its return journey, due to a technical issue, the train's speed decreases by 10 mph. How long does it take for the train to travel back from City B to City A?"} {"instruction": "A chat. If there are 50 people in a room and each person shakes hands with every other person exactly once, how many handshakes take place?"} {"instruction": "A chat. A water tank has a capacity of 800 gallons. If it takes 5 minutes to fill up 50 gallons, how long will it take to fill the entire tank?"} {"instruction": "A chat. In a group of 100 people, 60% are women, and 40% are men. If 75% of the women and 50% of the men have brown eyes, how many people in the group have brown eyes?"} {"instruction": "A chat. There are 5 red balls and 3 blue balls in a bag. You draw two balls at random without replacement. What is the probability that both balls are red?"} {"instruction": "A chat. Evaluate the expression when x = 3: (4x^2 - 5x + 1) / (2x - 1)"} {"instruction": "A chat. A class consists of 20 students. Each student knows at least one other student in the class. If any two students who know each other form a pair, what is the minimum number of pairs needed to ensure that every student knows someone else in the class? Explain your thought process."} {"instruction": "A chat. In a class of 30 students, 18 play football, 17 play basketball, and 10 play both games. How many students don't play either game? Explain your reasoning."} {"instruction": "A chat. There are 8 apples in a basket. You take away 3 apples and then put back 2 apples. How many apples do you need to add to the basket to have a total of 12 apples?"} {"instruction": "A chat. If a tree grows 2 inches every year, how much will it grow in a leap year? Explain your reasoning."} {"instruction": "A chat. In a village, there are 50 houses. Each house has a cat living in it. Every day, each cat catches one mouse from the neighboring house. How many mice were caught by all cats in total after 5 days?"} {"instruction": "A chat. A factory produces 200 units of a product in 5 days. Each day, they increase production by 10 units. How many units will they produce on the 9th day?"} {"instruction": "A chat. A rectangular garden has a length of 15 meters and a width of 10 meters. If you want to build a fence around it with a gate that is 1 meter wide, what is the total length of the fence needed?"} {"instruction": "A chat. A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of randomly drawing a blue ball?"} {"instruction": "A chat. A factory produces 1000 widgets per day, and each widget weighs 5 pounds. If the factory increases its production by 50% but reduces the weight of each widget by 25%, how many pounds of widgets will the factory produce daily after these changes?"} {"instruction": "A chat. An agricultural cooperative wants to build grain storage silos to accommodate the expected harvest from its member farms. The total projected harvest volume is 50,000 tons, and each silo can hold up to 1000 tons of grain. Calculate the number of silos needed to store the entire harvest. Also, consider that the construction cost per silo is $300,000, and the cooperative has a budget of $12 million for this project. Determine if the budget is sufficient to build the required number of silos and provide step-by-step reasoning.\n"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 miles per hour. The distance between the towns is 120 miles. If the train makes a stop for 30 minutes halfway through the journey, how long does the entire trip take?"} {"instruction": "A chat. A company produces 3 types of products - X, Y, and Z. The profit margins for each product are as follows: X has a 20% profit margin, Y has a 25% profit margin, and Z has a 30% profit margin. If the company sells $1000 worth of X, $2000 worth of Y, and $3000 worth of Z, what is their overall profit margin on these sales?"} {"instruction": "A chat. A rectangular garden has a length of 30 meters and a width of 20 meters. If the owner wants to increase the area of the garden by 50% by extending only its length, how many additional meters should be added to the length?"} {"instruction": "A chat. If a train travels at an average speed of 80 mph for 3 hours and then at an average speed of 100 mph for another 2 hours, what is its total distance traveled?"} {"instruction": "A chat. A factory produces widgets in batches. In each batch, they produce either 5 or 7 widgets. If the factory produces a total of 53 widgets in a day, how many batches of 5 widgets and how many batches of 7 widgets were produced?"} {"instruction": "A chat. Express the complex number 3 + 4i in polar form."} {"instruction": "A chat. A factory produces three types of widgets: A, B, and C. Each widget type has a different production time: Type A takes 6 hours, Type B takes 8 hours, and Type C takes 12 hours. The factory operates for exactly 24 hours per day. What is the maximum number of widgets the factory can produce in one day if it must produce at least one of each type? Include your reasoning."} {"instruction": "A chat. An airline wants to optimize its flight schedule between two cities. The distance between the cities is 1,200 miles, and the average speed of their planes is 600 mph. Each plane can carry up to 150 passengers, but the airline wants to maintain a load factor of at least 80%. Given that there are currently four flights per day between the cities, determine whether the airline should increase or decrease the number of daily flights to maximize revenue while maintaining the desired load factor.\n"} {"instruction": "A chat. Evaluate the improper integral \u222b(1/x^3) from 1 to infinity."} {"instruction": "A chat. If a book has 450 pages and you read 15 pages every day, how many days will it take to finish the book? Show your work."} {"instruction": "A chat. In how many ways can you choose 3 items from a set of 7 distinct items?"} {"instruction": "A chat. A rectangular garden has a length that is 4 meters more than its width. If the perimeter of the garden is 48 meters, what are the dimensions of the garden?"} {"instruction": "A chat. A spherical balloon has a radius of 5 inches. If it deflates to half its original volume, what will be the new radius?"} {"instruction": "A chat. A factory produces 500 units of a product per day. If each unit sells for $25 and the daily production cost is $8,000, what is the factory's daily profit?"} {"instruction": "A chat. In a city, there are 500000 cars. Each car on average travels 15 kilometers per day. The average fuel efficiency of these cars is 10 km/liter. How many liters of fuel do all the cars in the city consume in a year? Assume a year has 365 days."} {"instruction": "A chat. There are 5 boxes, each containing a different number of apples. The total number of apples in all the boxes is 100. Box A has twice as many apples as box B, and box C has half as many apples as box D. Box E has 10 apples. How many apples does box B have if box A has more apples than any other box?"} {"instruction": "A chat. If a car travels at an average speed of 50 miles per hour for 6 hours and then increases its speed to 60 miles per hour for another 4 hours, how far has it traveled in total?"} {"instruction": "A chat. If a light bulb flashes every 10 seconds, how many times will it flash in a day? Show your work."} {"instruction": "A chat. Solve the equation: 3(x - 2) = 6x + 9."} {"instruction": "A chat. A train leaves from New York City heading towards Los Angeles at 100 mph. At the same time, another train leaves from Los Angeles heading towards New York City at 200 mph. If they both maintain their speeds and there are no stops or delays, which train will be closer to New York City when they meet?"} {"instruction": "A chat. A telecommunications company wants to improve its network coverage in a rural area by installing new cell towers. The area covers 1,000 square miles and has a population density of 100 people per square mile. Each cell tower can provide coverage for a radius of 5 miles. Determine the optimal number and placement of cell towers needed to achieve 95% coverage while minimizing installation and maintenance costs.\n"} {"instruction": "A chat. A bag contains 5 red balls, 3 green balls, and 2 blue balls. If you draw 3 balls at random without replacement, what is the probability that exactly one ball is red?"} {"instruction": "A chat. An airline wants to increase its market share by adding new routes and expanding its fleet. The airline currently operates 100 aircraft, with an average age of 15 years and a seating capacity of 200 passengers per plane. They have a budget of $2 billion for acquiring new planes and establishing new routes. Estimate the number of new aircraft that can be purchased within this budget, factoring in acquisition costs, maintenance expenses, and fuel efficiency improvements. Also, calculate the potential increase in passenger numbers and revenue generated by the expansion. Provide step-by-step reasoning."} {"instruction": "A chat. In a class of 40 students, 60% passed the math exam and 70% passed the English exam. If 50% of the students passed both exams, how many students failed both exams?"} {"instruction": "A chat. If a car is traveling at 60 miles per hour and needs to cover a distance of 300 miles, how long will it take to reach its destination?"} {"instruction": "A chat. A snail climbs up a wall during the day but slips down slightly while sleeping at night. If the wall is 30 feet high, the snail climbs 5 feet every day and slips back 4 feet every night, how many days does it take for the snail to reach the top of the wall? Show your work."} {"instruction": "A chat. A car rental company has a fleet of 200 cars. They rent out compact cars for $30 per day and luxury cars for $60 per day. If they make an average of $45 per car rented per day, how many compact cars and luxury cars do they have in their fleet?"} {"instruction": "A chat. Let V be a finite-dimensional vector space over a field F. Prove that every linear transformation T: V \u2192 V has an eigenvalue."} {"instruction": "A chat. Solve the equation (2x - 5) / 3 + 4 = 7."} {"instruction": "A chat. (9 / 3 * 2)^2 - 10 + 4 * 3 ="} {"instruction": "A chat. An e-commerce company wants to expand its warehouse capacity to meet growing demand. They currently have two warehouses, each with a storage capacity of 100,000 square feet. The plan is to build a third warehouse with double the capacity of the existing ones. The construction cost per square foot is $50, and the company has a budget of $10 million for this project. Calculate the maximum size of the new warehouse that can be built within the budget, and determine the total storage capacity after its completion.\n"} {"instruction": "A chat. A group of 5 friends goes to a restaurant. Each person orders either a burger or a salad. If there are more burgers than salads ordered, what is the minimum number of burgers that were ordered?"} {"instruction": "A chat. In a class of 40 students, 18 are taking English and 22 are taking History. If 6 students are taking both courses, how many students are taking neither course?"} {"instruction": "A chat. There are 12 apples in a basket. You take away 5 apples. How many apples do you have now?"} {"instruction": "A chat. A recipe calls for 8 cups of flour to make 24 cookies. How many cups of flour are needed to make 36 cookies? Show your work.\n"} {"instruction": "A chat. A farmer has 20 cows and 10 chickens. Each cow produces 5 gallons of milk per day, and each chicken lays 2 eggs per day. How many eggs does the farmer collect in one week if he collects all the eggs every day?"} {"instruction": "A chat. How many miles does light travel in one minute?"} {"instruction": "A chat. A water tank is filled at a rate of 3 gallons per minute. How long will it take to fill a 450-gallon tank?"} {"instruction": "A chat. A bag contains 5 red balls, 7 blue balls, and 4 green balls. If you draw 3 balls without replacement, what is the probability that you will get exactly 2 red balls?"} {"instruction": "A chat. Prove that the function f(x) = x^3 is continuous on its domain."} {"instruction": "A chat. Using Laplace transforms, solve the following linear ordinary differential equation: y'' + 3y' + 2y = 0, where y(0) = 1 and y'(0) = 0.\n"} {"instruction": "A chat. In a class of 30 students, 60% passed their math exam, while 80% passed their science exam. How many students passed both exams?"} {"instruction": "A chat. In a small town, there are 100 houses. Every house has either a red or blue door. If you count the number of red doors in pairs, you get one extra red door left over. If you count the number of blue doors in groups of three, you get two extra blue doors left over. How many red and blue doors are there?"} {"instruction": "A chat. A car travels a distance of 240 miles between two cities. The car consumes 0.05 gallons of fuel per mile. If the price of fuel is $3.00 per gallon, how much does it cost for the round trip between the two cities?"} {"instruction": "A chat. In a class of 30 students, 18 students like chocolate ice cream. What percentage of the class likes chocolate ice cream? Show your work."} {"instruction": "A chat. In a certain city, the population doubles every 5 years. If the current population is 20,000, what will be the population in 15 years?"} {"instruction": "A chat. A bag contains 4 red balls, 6 blue balls, and 5 green balls. If a ball is drawn at random, what is the probability that it is not red? Show your work."} {"instruction": "A chat. Solve the equation: 3x - 7 = 2(x + 4) - x."} {"instruction": "A chat. In a village, there are 100 houses. Each house has either cats or dogs as pets. If each cat owner has exactly 3 cats and each dog owner has exactly 4 dogs, and the total number of pets in the village is 360, how many houses have cats?"} {"instruction": "A chat. A bakery is looking to expand its operations by opening five new locations over the next three years. Each location will require an initial investment of $250,000 for renovations, equipment, and inventory. Additionally, the bakery expects to spend $10,000 per month on salaries, rent, and utilities for each store. Calculate the total cost of this expansion plan and determine the break-even point for each store, assuming an average profit margin of 40% on all products sold.\n"} {"instruction": "A chat. An office building uses 20 packs of paper every week. Each pack contains 500 sheets of paper. How many sheets of paper does the office use in a year? Show your calculations."} {"instruction": "A chat. If a factory produces 1200 units of product A in 8 hours, how many units will it produce in 5 days working at the same rate?"} {"instruction": "A chat. A train travels at a constant speed of 60 mph. It takes 30 minutes to travel between two stations. After leaving the second station, it takes another 45 minutes to reach its final destination. How far apart are the first and final stations?"} {"instruction": "A chat. Prove that the sum of the angles in any polygon is equal to (n-2) * 180 degrees, where n is the number of sides."} {"instruction": "A chat. A national park is implementing a wildlife conservation project to protect endangered species within its boundaries. Over the next ten years, they aim to increase the population of a specific endangered species by 25%. Currently, there are 500 individuals of this species living in the park. To achieve their goal, the park must implement various habitat restoration and protection measures, costing $1,000 per individual animal. Calculate the total cost of the project and provide step-by-step reasoning.\n"} {"instruction": "A chat. A car rental company wants to optimize its fleet management to reduce maintenance costs and improve customer satisfaction. They have data on vehicle usage, maintenance history, and customer feedback for each car in their fleet. Describe a step-by-step process to identify vehicles that require frequent maintenance or have low customer satisfaction ratings, and suggest possible solutions to improve the situation."} {"instruction": "A chat. How many jellybeans are in a jar if there are 100 red ones, 200 blue ones, and 300 green ones?"} {"instruction": "A chat. A factory produces 500 units of product A every week. Each unit costs $10 to produce and sells for $25. What is the profit made by the factory after 6 weeks of production?"} {"instruction": "A chat. An online retailer wants to improve customer satisfaction by reducing shipping times for orders. Currently, the company operates one central warehouse that serves all customers, resulting in an average shipping time of 4 days. Management is considering opening two additional regional warehouses to decrease shipping times. Assuming that adding each regional warehouse will reduce the average shipping time by 1 day, calculate the expected improvement in shipping times and discuss the potential benefits and challenges of this strategy.\n"} {"instruction": "A chat. A company has two factories producing widgets. Factory A produces 2000 widgets per day and factory B produces 1500 widgets per day. How many days does it take for both factories combined to produce 50,000 widgets?"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B every day. Product A requires 2 workers to produce one unit, while product B requires 3 workers to produce one unit. If the factory operates 6 days a week, how many workers are needed to meet the production requirements?"} {"instruction": "A chat. A cruise ship company wants to optimize its onboard dining options to reduce food waste and cut costs. They serve an average of 3,000 meals per day across their fleet of five ships. If they can find a way to reduce food waste by 10%, calculate the potential savings in terms of meals and cost, assuming an average cost of $15 per meal. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A store sells two types of candies: chocolate bars and lollipops. The price of a chocolate bar is $1.50, and the price of a lollipop is $0.25. If a customer buys a combination of 20 candies and spends a total of $15, how many chocolate bars and lollipops did they purchase?"} {"instruction": "A chat. If a bag of oranges weighs 5 pounds and each orange weighs about 0.25 pounds, approximately how many oranges are in the bag? Explain your steps."} {"instruction": "A chat. A school has 120 students. If 25% of the students play football and 30% play basketball, what is the maximum number of students who play both sports? Show your work."} {"instruction": "A chat. A factory produces 250 units of product A and 400 units of product B every day. Product A sells for $15 each, while product B sells for $10 each. What is the combined revenue from both products after 20 days?"} {"instruction": "A chat. On average, a human being blinks once every 4 seconds. How many times does a person blink in an hour? Show your work."} {"instruction": "A chat. A train leaves from station A towards station B at 60 mph. Another train leaves from station B towards station A at 80 mph. Station A and B are 210 miles apart. How long will it take for both trains to meet?"} {"instruction": "A chat. An amusem*nt park is analyzing its ticket pricing strategy based on visitor demographics and spending patterns. On average, each visitor spends $50 on food and souvenirs during their visit. The park offers three types of tickets: single-day ($60), two-day ($100), and season pass ($200). Calculate the total revenue generated by each type of ticket if the park receives 1 million visitors per year, with 70% purchasing single-day tickets, 20% purchasing two-day tickets, and 10% purchasing season passes. Additionally, estimate the impact on revenue if the park increases the price of each ticket type by 10%.\n"} {"instruction": "A chat. There are three boxes labeled \"Apples\", \"Oranges\", and \"Apples and Oranges\". Each box is labeled incorrectly. You can pick one fruit from one box without looking inside. Which box should you choose to correctly label all the boxes?"} {"instruction": "A chat. A store sells three types of items: type A costs $5 each, type B costs $8 each, and type C costs $12 each. If a customer buys 4 items of type A, 3 items of type B, and 2 items of type C, what is the total cost of their purchase?"} {"instruction": "A chat. John has 15 candies. He gives 2 candies to each of his friends. If he has 3 candies left after giving candies to his friends, how many friends does John have? Include your logic."} {"instruction": "A chat. Tom is taller than Sarah but shorter than Jack. Is Sarah taller than Jack?"} {"instruction": "A chat. A company's revenue increased by 25% from year 1 to year 2 and then decreased by 20% from year 2 to year 3. What is the net percentage change in revenue from year 1 to year 3?"} {"instruction": "A chat. If a car rental company has 20 cars available and each car can be rented for $50 per day, how much revenue will the company generate if all cars are rented out for 7 days?"} {"instruction": "A chat. A water tank has a capacity of 120 liters and is currently filled with 45 liters of water. If a tap connected to the tank releases water at a rate of 2 liters per minute, how long will it take to empty the tank completely?"} {"instruction": "A chat. A jar contains 4 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of not drawing a red marble when picking one out randomly?"} {"instruction": "A chat. In a small town, there are 4 barbers. Each barber only shaves those who do not shave themselves. Who shaves the barber that shaves himself?"} {"instruction": "A chat. There are 8 people standing in a circle. Every second person is wearing a hat. If you start counting from the first person and remove every third person until only one person remains, will that person be wearing a hat?"} {"instruction": "A chat. An elevator can carry a maximum of 10 people at once. If 25 people need to use the elevator, how many trips does it need to make? Explain your reasoning."} {"instruction": "A chat. If you invest $5,000 at an annual interest rate of 6% compounded annually, how much money will you have after 5 years?"} {"instruction": "A chat. If a person invests $10,000 in a savings account with an annual interest rate of 2.5%, compounded quarterly, how much money will be in the account after 3 years?"} {"instruction": "A chat. A train leaves City A traveling towards City B at a constant speed of 80 km/h. At the same time, another train leaves City B traveling towards City A at a constant speed of 100 km/h. The two cities are 540 km apart. How long does it take for the trains to meet each other?"} {"instruction": "A chat. A store sells shirts for $20 each and pants for $30 each. If a customer buys 5 shirts and 3 pairs of pants, how much will they spend before tax?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed of 60 kilometers per hour. The distance between the two cities is 360 kilometers. How many minutes does it take for the train to travel from City A to City B?"} {"instruction": "A chat. In a class of 40 students, 60% are girls. How many boys are there in the class? Show your work."} {"instruction": "A chat. If you invest $5,000 at an annual interest rate of 4%, compounded annually, how much will your investment be worth after 5 years?"} {"instruction": "A chat. There are 4 siblings - Alice, Bob, Carol, and David. Alice is older than Bob but younger than Carol. David is not the youngest sibling. Who is the youngest sibling?"} {"instruction": "A chat. In a small town, there are 5 houses in a row. The green house is next to the blue house. The red house is not next to the green house. The yellow house is at one end of the row. Which house is in the middle?"} {"instruction": "A chat. A company produces 100 units of product X in an hour. How many units would they produce in a non-leap year if they operate 24 hours a day, 7 days a week? Show your work."} {"instruction": "A chat. In a village, there are 10 houses in a row. Each house has a different color and is inhabited by people of different nationalities. The German lives in the yellow house. The green house is to the left of the white house. The person living in the blue house is from Brazil. The French inhabitant lives next to the red house. Who lives in the white house?"} {"instruction": "A chat. A company has an annual revenue growth rate of 8%. If its current annual revenue is $500,000, what will be the company's revenue in 5 years?"} {"instruction": "A chat. There are 5 red balls and 3 blue balls in a bag. If you randomly pick one ball from the bag, then put it back before picking another ball, what is the probability of picking two red balls in a row?"} {"instruction": "A chat. There are 100 birds sitting on a fence. A hunter shoots at them and kills 20. How many birds are left on the fence?"} {"instruction": "A chat. A clock loses 3 minutes every hour. If it was set correctly at noon on Monday, when will it show the correct time again?"} {"instruction": "A chat. In a certain town, there are only two types of people: truth-tellers who always tell the truth, and liars who always lie. One day, you meet three inhabitants named Alice, Bob, and Carol. Alice says \"Bob is a liar.\" Bob says \"Carol is a liar.\" Carol says \"Alice and I are both truth-tellers.\" Can you determine which type of person each inhabitant is?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour. After traveling for 2 hours, it stops for 30 minutes before continuing its journey for another 3 hours. What is the total distance traveled by the train?"} {"instruction": "A chat. A train travels at a constant speed of 60 kilometers per hour. How long does it take for the train to travel a distance of 240 kilometers?"} {"instruction": "A chat. An international airport plans to expand its runway capacity to accommodate more flights. Currently, the airport has two runways, each capable of handling 20 flights per hour. The expansion project involves constructing an additional runway, which would increase the airport's flight capacity by 50%. Calculate the total number of flights the airport can handle after the expansion, and determine the percentage increase in hourly flight capacity.\n"} {"instruction": "A chat. A box contains only red balls, blue balls, and green balls. There are twice as many red balls as blue balls, and three times as many green balls as red balls. If there are 60 balls in total, how many blue balls are there?"} {"instruction": "A chat. In a class of 30 students, 12 study French, 18 study Spanish, and 8 study both languages. How many students in the class don't study either language? Provide step-by-step logic."} {"instruction": "A chat. In a class of 40 students, 60% passed the math exam, and 75% passed the English exam. If every student passed at least one of the exams, how many students passed both exams?"} {"instruction": "A chat. A train leaves Town A heading towards Town B at 60 mph. At the same time, another train leaves Town B heading towards Town A at 90 mph. The distance between the two towns is 450 miles. If both trains maintain their speeds, how far apart will they be one hour before they meet?"} {"instruction": "A chat. A store has a sale where customers can buy 3 items and get the 4th item free. If a customer buys 12 items, how many items do they actually pay for?"} {"instruction": "A chat. A city is planning to build a new public park with various amenities, including playgrounds, sports fields, and walking trails. The total area of the park is 100 acres, with 40% dedicated to green spaces, 30% for sports facilities, and the remaining 30% for other amenities like parking lots and restrooms. Calculate the acreage allocated to each type of amenity and estimate the number of trees that can be planted in the green spaces if they are spaced 20 feet apart. Also, consider any potential restrictions on tree planting due to underground utilities or existing structures.\n"} {"instruction": "A chat. A store sells shirts in 6 different colors and 4 different sizes. How many different combinations of color and size are possible?"} {"instruction": "A chat. In a village, there are 50 houses. Each house has at least one cat. If the total number of cats in the village is 100, and no two houses have the same number of cats, what is the maximum number of cats that can be in any single house?"} {"instruction": "A chat. There are 5 red balls and 3 blue balls in a bag. You randomly pick one ball, note its color, and put it back in the bag. Then you repeat this process two more times. What is the probability that you picked exactly two red balls?"} {"instruction": "A chat. A company has 8 employees who work 40 hours per week. If they are paid $20 per hour, what is the company's monthly payroll expense?"} {"instruction": "A chat. A company has an annual budget of $1,200,000. If they allocate 35% of their budget for employee salaries, 25% for marketing, and 15% for research and development, how much money is left for other expenses?"} {"instruction": "A chat. If a car travels 200 miles on 10 gallons of gas, how many bananas can it carry?"} {"instruction": "A chat. In a town, there are 100 people. Half of them always tell the truth and half of them always lie. You meet two residents named Alice and Bob. Alice says \"At least one of us is a liar.\" Is it possible to determine who is lying or telling the truth based on this statement?"} {"instruction": "A chat. An airline is evaluating its fleet efficiency and fuel consumption. They operate three types of aircraft: small regional jets, medium-sized planes, and large long-haul aircraft. The fuel consumption rates are 5 gallons per mile for regional jets, 8 gallons per mile for medium-sized planes, and 12 gallons per mile for long-haul aircraft. The airline flies a total of 10,000 miles daily, with a breakdown of 40% regional jets, 35% medium-sized planes, and 25% long-haul aircraft. Calculate the total daily fuel consumption for each type of aircraft and determine which one contributes the most to overall fuel expenses.\n"} {"instruction": "A chat. In a town, 5 out of every 7 people own a car. If there are 210 people in the town, how many do not own a car? Show your work."} {"instruction": "A chat. How many bricks are needed to build a wall that is 10 meters long, 2 meters high, and 0.25 meters thick, if each brick measures 20 cm in length, 10 cm in height, and 5 cm in thickness?"} {"instruction": "A chat. Given vectors u = <2, -1> and v = <-3, 4>, calculate the dot product of u and v."} {"instruction": "A chat. A car rental company charges a flat fee of $20 per day plus an additional $0.15 per mile driven. If a customer rents a car for 5 days and drives it for 400 miles, how much will they be charged?"} {"instruction": "A chat. In a game, players can score either 3 points or 5 points per turn. After several turns, a player has scored a total of 47 points. What is the minimum number of turns the player took to reach this score?"} {"instruction": "A chat. A factory produces 500 units of product A in one hour. The factory operates for 8 hours a day and runs for 5 days a week. How many units of product A are produced in one week?"} {"instruction": "A chat. In a small town, there are 100 houses. Every house has at least one cat or one dog. If there are 60 houses with dogs and 40 houses with cats, how many houses have both a cat and a dog?"} {"instruction": "A chat. There are 30 birds on a tree. A hunter shoots and kills 10 of them. How many birds are left on the tree?"} {"instruction": "A chat. If a sequence is defined by the recursive formula an = 3an-1 - 2, where a1 = 5, what is the value of a5?"} {"instruction": "A chat. A factory produces 1500 widgets per hour. Due to increasing demand, the factory decides to increase production by 20%. How many widgets will be produced after the increase, and what is the difference between the original and increased production rates?"} {"instruction": "A chat. If an airplane flies around the world along the equator and maintains a constant speed of 500 mph, how long will it take to complete the journey? Assume Earth's circumference along the equator is approximately 24,901 miles."} {"instruction": "A chat. If a car travels at a constant speed of 55 miles per hour, how far will it travel in 3.5 hours?"} {"instruction": "A chat. A store sells two types of candies: type A costs $5 per pound and type B costs $8 per pound. If a customer buys a total of 7 pounds of candy and spends $40, how many pounds of each type of candy did they buy?"} {"instruction": "A chat. In a village, there are 10 houses. Each house has 5 rooms and each room has 3 windows. One day, a storm broke half of the windows in the village. How many unbroken windows remain?"} {"instruction": "A chat. Alice has 12 apples, Bob has 8 apples, and Carol has 16 apples. They decide to redistribute the apples equally among themselves. After redistributing the apples, how many apples does Carol have?"} {"instruction": "A chat. A bag contains 20 marbles, with an equal number of red, blue, green, and yellow marbles. If you randomly pick two marbles without replacement, what is the probability that both marbles are the same color?"} {"instruction": "A chat. If a person drinks 8 glasses of water per day, how many gallons of water does he drink in a month with 30 days? (Assume 1 glass = 8 ounces)"} {"instruction": "A chat. A sequence follows the rule \"multiply by 2 and then subtract 3\" starting with the number 5. What is the 6th term in this sequence?"} {"instruction": "A chat. A farmer wants to fence in a rectangular field that is 100 meters long and 50 meters wide. How much fencing will he need? Explain your reasoning.\n"} {"instruction": "A chat. There are 100 people in a room. Half of them have blue eyes, and the other half have green eyes. If two-thirds of the blue-eyed people leave the room, how many people with green eyes remain?"} {"instruction": "A chat. In a village, there are 20 houses in a row. Every house has a dog, and every dog barks at the neighbor's cat. How many cats are being barked at?"} {"instruction": "A chat. How many miles does a person walk in a year if they take 10,000 steps per day on average?"} {"instruction": "A chat. A company produces 500 units of product A each day. They sell 60% of their daily production and store the rest. How many units do they store after 30 days?"} {"instruction": "A chat. In a game of rock-paper-scissors, there are 3 players who each play either rock, paper, or scissors in every round. Each player can see what the others played before making their own move. If Alice always plays rock, Bob always plays paper, and Carol always plays scissors, how many rounds will it take for them to figure out each other's moves?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by replacing 100 old buses with new electric buses. The new buses have a range of 150 miles on a single charge and can carry up to 60 passengers each. Calculate the total number of passenger-miles the new fleet can provide in one day, assuming that each bus operates for 12 hours and has an average occupancy rate of 80%. Describe your reasoning.\n"} {"instruction": "A chat. A baker uses 3 eggs for every cake he bakes. If he has 30 eggs, how many cakes can he bake? Provide step-by-step logic."} {"instruction": "A chat. A farmer has 100 meters of fencing material and wants to create a rectangular enclosure for his sheep. What are the dimensions of the largest possible area he can enclose?"} {"instruction": "A chat. Solve for x: 3x - 4 = 14"} {"instruction": "A chat. You have a bag with 4 red balls, 3 blue balls, and 2 green balls. What is the probability of drawing a red ball followed by a blue ball without replacement? Show your steps."} {"instruction": "A chat. A water tank has a capacity of 1500 liters. If it takes 12 minutes to fill the tank with water, what is the flow rate in liters per minute?"} {"instruction": "A chat. A company has an annual revenue of $1,000,000 and spends 40% on salaries, 25% on rent, and 15% on marketing. What is the company's profit at the end of the year?"} {"instruction": "A chat. There are 7 houses on a street. Each house has a different color door. The first house has a red door, the second house has a blue door, and the third house has a yellow door. What color is the door of the last house?"} {"instruction": "A chat. Solve the expression: (4^2 - 3 * 5) \u00f7 (2 + 1)^2"} {"instruction": "A chat. A store offers a discount on bulk purchases. For every 5 items purchased, you get 1 additional item for free. How many total items would you receive if you purchase 30 items?"} {"instruction": "A chat. There are 100 closed lockers in a hallway. A student walks by and opens every locker. Then, another student walks by and closes every second locker (2, 4, 6...). This continues with each subsequent student toggling the state of every nth locker (3rd student: 3, 6, 9..., 4th student: 4, 8, 12...). After 100 students have passed through the hallway, how many lockers are left open?"} {"instruction": "A chat. A store sells two types of candy - type X costs $3 per pound and type Y costs $5 per pound. If a customer buys a total of 8 pounds of candy for $28, how many pounds of each type did they buy?"} {"instruction": "A chat. In a group of 50 people, 30 prefer coffee, 20 prefer tea, and 10 like both coffee and tea. How many people do not like either coffee or tea?"} {"instruction": "A chat. Calculate the volume of a sphere with radius 6 cm."} {"instruction": "A chat. A train travels from City A to City B at a constant speed of 60 mph. Halfway through the journey, it makes a 30-minute stop at a station. What is the total travel time if the distance between City A and City B is 240 miles?"} {"instruction": "A chat. How many gallons of water would it take to fill a swimming pool with dimensions 25 feet long, 15 feet wide, and 6 feet deep?"} {"instruction": "A chat. Given the matrix A = [[1, 2], [3, 4]], find its inverse."} {"instruction": "A chat. A train travels at a speed of 60 miles per hour for 2 hours, then it slows down to 30 miles per hour for another 2 hours. How far has the train traveled in total?"} {"instruction": "A chat. There are two bags containing a mix of coins. Bag A contains 50 coins, consisting of quarters and dimes. Bag B contains 100 coins, consisting of nickels and pennies. If the total value of all the coins in both bags is $12.00, how many quarters are in Bag A?"} {"instruction": "A chat. A factory produces two types of products, A and B. Product A takes 2 hours to make, while product B takes 4 hours. The factory can only work for a maximum of 40 hours per week. If they want to produce an equal number of both products, what is the maximum number of each product that can be produced in one week?"} {"instruction": "A chat. In a class of 40 students, 12 students play soccer, 18 students play basketball, and the rest play both sports. How many students play both soccer and basketball?"} {"instruction": "A chat. A store sells apples for $1.50 per pound and oranges for $2.00 per pound. If a customer buys 3 pounds of apples and 4 pounds of oranges, how much will they spend? Explain your reasoning.\n"} {"instruction": "A chat. In a certain city, there are 500,000 registered voters. If 60% of them vote in an election and 70% of those who vote support Candidate A, how many votes does Candidate A receive?"} {"instruction": "A chat. A logistics company is planning to build a new warehouse to serve as a regional distribution center. The warehouse will have a storage capacity of 1 million cubic feet and process an average of 500 shipments per day. Determine the optimal layout for the warehouse, considering factors such as product turnover rates, picking efficiency, and loading dock accessibility. Additionally, calculate the number of employees needed to operate the facility, factoring in shift schedules, break times, and productivity levels."} {"instruction": "A chat. If a car rental company has 100 cars, and on average 75% of them are rented out each day, how many days will it take for the company to reach 10,000 rentals?"} {"instruction": "A chat. The Earth has a circumference of approximately 24,901 miles. How many times would you have to walk around the Earth to cover a total distance of 1 million miles?"} {"instruction": "A chat. If a car can travel 400 miles on a full tank of gas, how many gallons of gas would it need for a round trip of 1800 miles? Assume the car has a fuel efficiency of 25 miles per gallon."} {"instruction": "A chat. There are 10 people in a room, including Tim and Jane. If everyone shakes hands with each other exactly once, how many handshakes will there be?"} {"instruction": "A chat. A theme park is looking to optimize its pricing strategy for admission tickets. Currently, the park offers a single-day pass for $75 and a three-day pass for $180. They want to introduce a five-day pass and determine the optimal price based on visitor preferences and spending habits. Analyze different pricing scenarios and their impact on revenue, considering factors such as seasonality, average length of stay, and potential upselling opportunities within the park. Describe your approach.\n"} {"instruction": "A chat. A train travels from City A to City B in 4 hours. Another train leaves City B towards City A at the same time as the first train. This second train takes 6 hours to reach City A. At what point do the trains cross paths?"} {"instruction": "A chat. In a bag containing red, blue, and green marbles, the ratio of red to blue marbles is 3:4, and the ratio of blue to green marbles is 2:5. If there are 20 blue marbles, how many marbles are there in total?"} {"instruction": "A chat. A factory produces 500 units of product A every hour. How many units can it produce in 45 working days, assuming an 8-hour workday?"} {"instruction": "A chat. If a company sells 3 products, A, B, and C, with the following profit margins: Product A has a 20% profit margin, Product B has a 30% profit margin, and Product C has a 40% profit margin. The company sold $12,000 worth of Product A, $8,000 worth of Product B, and $5,000 worth of Product C in one month. What is the total profit made by the company for that month?"} {"instruction": "A chat. If a rectangle has a length of 8 inches and a width of 6 inches, what is its area? Explain your reasoning.\n"} {"instruction": "A chat. In a class of 40 students, 60% are girls. If 10 more boys join the class, what percentage of the class will be boys?"} {"instruction": "A chat. A large corporation plans to expand its office space to accommodate a growing workforce. The company currently occupies a 10-story building with a total floor area of 250,000 square feet. Each employee requires an average of 150 square feet of workspace, including common areas and amenities. Over the next five years, the company expects to hire an additional 500 employees. Calculate the additional floor area required to accommodate this growth, and determine whether the company should construct a new building or lease additional floors in nearby buildings.\n"} {"instruction": "A chat. There are 4 boxes, each containing a different number of apples. Box A has more apples than Box B but fewer apples than Box C. Box D has the least number of apples. Which box has the second highest number of apples?"} {"instruction": "A chat. Write down the Taylor series expansion of e^x around x=0."} {"instruction": "A chat. A class consists of 60% boys and 40% girls. Half of the boys and 3/4 of the girls wear glasses. What percentage of the class wears glasses? Explain your steps."} {"instruction": "A chat. In a group of people, 65% like chocolate ice cream, and 40% like vanilla ice cream. If 25% like both, what percentage of the group likes either chocolate or vanilla or both? Provide your reasoning."} {"instruction": "A chat. A sports league wants to optimize its scheduling for the upcoming season. There are ten teams in the league, and each team must play every other team twice during the season. The league wants to minimize travel time and costs for the teams while ensuring fair competition. Develop a schedule that meets these criteria, explaining your reasoning.\n"} {"instruction": "A chat. There are 7 days in a week. How many weeks are there in a year? Include your logic."} {"instruction": "A chat. If a train travels 450 kilometers in 5 hours, what is its average speed in meters per second?"} {"instruction": "A chat. A national sports league is considering expanding its number of teams from 30 to 36 over the next five years. Each team plays a total of 82 games per season, with half of those being home games. The average ticket price for a game is $50, and each arena has an average capacity of 18,000 spectators. Calculate the potential increase in annual revenue generated by the addition of these new teams, taking into account both ticket sales and additional merchandise sales (assuming an average spend of $25 per spectator).\n"} {"instruction": "A chat. If a baker uses 2 eggs to make 3 cupcakes, how many eggs will he need to bake 15 cupcakes? Explain your reasoning."} {"instruction": "A chat. A rectangular garden has a length of 20 meters and a width of 15 meters. If you want to build a walkway around the garden with a uniform width of 2 meters, what will be the area of the walkway?"} {"instruction": "A chat. A store sells 3 types of fruit - apples, oranges, and bananas. The ratio of apples to oranges is 2:3, and the ratio of oranges to bananas is 4:5. What is the ratio of apples to oranges to bananas?"} {"instruction": "A chat. A company has a monthly revenue of $50,000 and expenses of $30,000. What is the company's profit margin as a percentage?"} {"instruction": "A chat. A store offers a discount on bulk purchases of a certain item. The regular price for one unit of the item is $15. If you buy 10 or more units, you get a 25% discount on the entire purchase. How much would it cost to buy 12 units with the discount?"} {"instruction": "A chat. A gardener plants 20 trees in 5 rows, with each row containing 4 trees. After planting all the trees, he realizes that he needs to plant one more tree to make the arrangement symmetrical. Where should he plant the additional tree?"} {"instruction": "A chat. If there are 24 hours in a day, and an average person sleeps for 8 hours, what percentage of the day is spent sleeping? Show your calculations."} {"instruction": "A chat. A national park wants to improve its visitor experience by adding more parking spaces near popular hiking trails. Currently, there are 200 parking spots available, but they want to increase this number by 50%. However, due to environmental concerns, they can only add new parking spaces within existing paved areas. Calculate the additional square footage needed for the new parking spaces, given that each space requires 180 square feet (including driving lanes). Explain your calculations in steps.\n"} {"instruction": "A chat. A sports league wants to build new stadiums in five different cities. Each stadium has a seating capacity of 50,000 spectators and costs $300 million to construct. To finance the project, the league plans to sell naming rights for each stadium at an average price of $20 million per year for 10 years. Additionally, they expect to generate $5 million annually from ticket sales and other events held at each stadium. Determine whether the league can recover its investment within the 10-year naming rights contract period. Provide step-by-step reasoning.\n"} {"instruction": "A chat. There are 120 students in a school. Half of them play soccer, one-third play basketball, and one-fourth play volleyball. How many students don't play any sports?"} {"instruction": "A chat. If you have two apples and I give you three more apples, how many apples do you have? Now, if I take away one apple from you, how many apples will you have left?"} {"instruction": "A chat. In a group of people, 40% are wearing red shirts, and 30% are wearing blue shirts. If there are 50 people in the group, how many people are not wearing either red or blue shirts?"} {"instruction": "A chat. A store sells two types of widgets: Type A and Type B. If 3 times the number of Type A widgets sold plus twice the number of Type B widgets sold equals 50, and the total number of widgets sold is 20, how many of each type were sold?"} {"instruction": "A chat. There are 4 cards on a table: one card has an A on both sides, one card has a B on both sides, one card has an A on one side and a B on the other side, and one card has a B on one side and a C on the other side. If you randomly pick a card and see an A on the face-up side, what is the probability that there is also an A on the face-down side?"} {"instruction": "A chat. Prove that if a matrix A has eigenvalues \u03bb1, \u03bb2, ..., \u03bbn, then the determinant of A is equal to the product of its eigenvalues. Provide step-by-step reasoning."} {"instruction": "A chat. If a person burns an average of 150 calories every 30 minutes while exercising, how many calories will they burn in 1 hour and 45 minutes?"} {"instruction": "A chat. A rectangular garden has a length of 20 feet and a width of 12 feet. What is the area of the garden?"} {"instruction": "A chat. If a bacteria population doubles every 20 minutes, how many times will it double in 5 hours?"} {"instruction": "A chat. If a bacteria colony doubles every hour, how many bacteria will be present after 10 hours if the initial population is 50?"} {"instruction": "A chat. A company has 200 employees, consisting of 120 full-time and 80 part-time workers. The company wants to increase its workforce by hiring an additional 50 employees, maintaining the same ratio of full-time to part-time workers. How many full-time and part-time workers should they hire?"} {"instruction": "A chat. A factory produces 200 items per day. Among these items, 5% are defective. If a customer buys 10 items at random, what is the probability that exactly 2 of them will be defective?"} {"instruction": "A chat. If a book has 200 pages and you read 20 pages per day, how many days will it take you to finish the book? Include your reasoning."} {"instruction": "A chat. In a game, four players take turns rolling a fair six-sided die. Each player rolls once per turn, and the first player to roll a 6 wins the game. If the game continues indefinitely until someone rolls a 6, what is the probability that Player 3 will win the game?"} {"instruction": "A chat. A store sells packs of pencils with each pack containing 12 pencils. The store has a total of 10,000 pencils. How many full packs can they make, and how many pencils will be left unpacked?"} {"instruction": "A chat. A cruise line company is designing a new luxury ship with a maximum capacity of 5,000 passengers. They want to offer a variety of stateroom options, including inside cabins, ocean view cabins, and suites. The company wants to ensure that at least 60% of the staterooms have an ocean view or better. Calculate the optimal distribution of stateroom types to maximize revenue while meeting this requirement, assuming average nightly rates of $200 for inside cabins, $300 for ocean view cabins, and $500 for suites.\n"} {"instruction": "A chat. A theme park wants to build a new roller coaster with a height of 200 feet and a track length of 5,000 feet. The construction cost is estimated at $20 million, and the park expects to attract an additional 500,000 visitors per year as a result. Calculate the increase in annual revenue from ticket sales, assuming an average ticket price of $75, and determine how many years it would take for the park to recoup its investment in the roller coaster. Provide a step-by-step explanation.\n"} {"instruction": "A chat. A store sells two types of widgets: small widgets for $4 each and large widgets for $9 each. If a customer buys 5 small widgets and 3 large widgets, how much will the total cost be before tax?"} {"instruction": "A chat. A bag contains 5 red balls and 7 blue balls. What is the probability of drawing 3 red balls in a row without replacement?"} {"instruction": "A chat. A factory produces two types of widgets, Type A and Type B. The production rate for Type A is 5 widgets per hour, while the production rate for Type B is 3 widgets per hour. In one day, the factory produces a total of 160 widgets. If the factory operates for 8 hours each day, how many Type A widgets were produced?"} {"instruction": "A chat. If a car depreciates at a rate of 15% per year, what will its value be after 5 years if it was initially worth $25,000?"} {"instruction": "A chat. There are 5 cats and 7 dogs in a room. Each cat has 4 legs, and each dog has either 3 or 4 legs (due to some having lost a leg). If there is a total of 47 legs in the room, how many dogs have 3 legs?"} {"instruction": "A chat. In a standard deck of 52 playing cards, what is the probability of drawing an Ace followed by a King without replacement?"} {"instruction": "A chat. In a deck of 52 playing cards, what is the probability of drawing a face card (king, queen, or jack) followed by an ace without replacement?"} {"instruction": "A chat. A telecommunications company is planning to expand its broadband internet coverage to rural areas. To do this, they need to install new fiber optic cables, wireless towers, and satellite dishes. The installation costs per mile of fiber optic cable, per wireless tower, and per satellite dish are $20,000, $150,000, and $500,000, respectively. The company has a total budget of $100 million for this expansion project. Determine the optimal combination of infrastructure investments needed to maximize internet coverage in rural areas while staying within budget constraints. Explain your reasoning.\n"} {"instruction": "A chat. An airline is evaluating the feasibility of adding a new direct flight route between two cities. The distance between the cities is 1,500 miles, and the airline's fleet consists of planes with varying fuel efficiency and passenger capacities. Calculate the most cost-effective plane model to use for this route, factoring in fuel costs, ticket prices, and the number of passengers per flight.\n"} {"instruction": "A chat. A theme park wants to add a new roller coaster to attract more visitors. The roller coaster will have a track length of 3,000 feet and a maximum height of 200 feet. Each train on the roller coaster can accommodate up to 24 passengers. Calculate the cost of constructing the roller coaster if the construction cost is $30,000 per foot of track and $1 million for each train. Also, estimate the number of passengers that can ride the roller coaster in an hour, assuming each ride takes 2 minutes and there are three trains operating simultaneously.\n"} {"instruction": "A chat. A container holds 8 gallons of water. How many liters does it hold?"} {"instruction": "A chat. If a car's gas tank holds 16 gallons and it gets an average of 25 miles per gallon, how far can the car travel on a full tank of gas?"} {"instruction": "A chat. There are 120 passengers on a train. Half of the passengers have a window seat, and one-third of the passengers have an aisle seat. How many passengers have neither a window nor an aisle seat?"} {"instruction": "A chat. If a car's gas tank holds 15 gallons and it gets an average of 25 miles per gallon, how many miles can the car travel on a full tank?"} {"instruction": "A chat. In a town, 4 out of every 7 residents own a car. If the town has a population of 2100, how many residents own a car? Include your logic."} {"instruction": "A chat. If a company produces 2000 units of product A and 3000 units of product B, with a profit margin of $5 per unit for product A and $8 per unit for product B, how much total profit will the company make if they sell all their products?"} {"instruction": "A chat. If a sequence is defined recursively as a_n = a_(n-1) + a_(n-2), where a_1 = 1 and a_2 = 2, what is the value of a_10?"} {"instruction": "A chat. In a class of 40 students, 60% are female. If there are 4 more females than males, how many males and females are there in the class?"} {"instruction": "A chat. A box contains red balls and blue balls. If you pick two balls at random without replacement, the probability of getting two red balls is 1/3. What could be the minimum number of balls in the box?"} {"instruction": "A chat. A classroom has 30 students. If 60% of them wear glasses, how many students do not wear glasses?"} {"instruction": "A chat. John is twice as old as his sister Mary. In 10 years, John will be three times as old as Mary was 5 years ago. How old is John now?"} {"instruction": "A chat. In a school, there are 12 boys for every 10 girls. If there are 120 students in total, how many girls are there? Provide your reasoning."} {"instruction": "A chat. A farmer has 15 sheep and 9 goats. He sells 5 sheep and buys 3 more goats. How many legs do all his animals have now?"} {"instruction": "A chat. In an election, Candidate A received 60% of the votes, while Candidate B received the remaining 40%. If there were a total of 12,000 votes cast, how many more votes did Candidate A receive than Candidate B?"} {"instruction": "A chat. Alice can paint a room in 5 hours, while Bob can do it in 8 hours. If they work together but take breaks independently, how long does it take them to paint the room if Alice takes a 30-minute break every hour and Bob takes a 15-minute break every hour?"} {"instruction": "A chat. A national park is planning to upgrade its visitor facilities, including constructing new restrooms, picnic areas, and hiking trails. The project will cost $3 million in total, with a breakdown of $1 million for restrooms, $1 million for picnic areas, and $1 million for hiking trails. Calculate the potential increase in visitor numbers needed to cover these costs, assuming an average entrance fee of $10 per person and current annual visitor numbers of 500,000.\n"} {"instruction": "A chat. If a farmer has 20 acres of land and wants to divide it into rectangular plots, each with an area of 5 acres, what are the possible dimensions for these plots?"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour. How long will it take the train to travel 240 miles?"} {"instruction": "A chat. John has twice as many sisters as brothers. His sister Jane has the same number of brothers as sisters. How many children are there in the family? Explain your logic."} {"instruction": "A chat. In a game, each player gets one turn. There are three players: Alice, Bob, and Carol. The probability of Alice winning in her turn is 1/2, the probability of Bob winning in his turn is 1/3, and the probability of Carol winning in her turn is 1/4. What is the probability that the game ends after all three players have had their turns?"} {"instruction": "A chat. If f(x) = x^3 - 6x^2 + 11x - 6, find all values of x for which f(x) = 0."} {"instruction": "A chat. A cylindrical water tank has a diameter of 4 meters and a height of 6 meters. How many liters of water can it hold when filled to capacity? (Note: 1 cubic meter equals 1000 liters)"} {"instruction": "A chat. A large supermarket chain wants to optimize its inventory management system. They currently stock 50,000 different products, with an average shelf life of 30 days. On average, they sell 1 million items per day across all their stores. To minimize waste and ensure product freshness, the company aims to maintain no more than a 5-day supply of perishable goods at any given time. Calculate the total amount of perishable goods that should be stored in their warehouses daily, providing step-by-step reasoning.\n"} {"instruction": "A chat. A box contains 10 red balls and 15 blue balls. If you randomly pick one ball from the box, what is the probability of picking a red ball?"} {"instruction": "A chat. A city is planning to build a new sports complex that includes a stadium, swimming pool, and tennis courts. The stadium will have a seating capacity of 50,000 people, the swimming pool can accommodate 2,500 visitors at a time, and there are 20 tennis courts available for use. Calculate the total number of visitors the sports complex can handle per day, assuming each visitor spends an average of 3 hours at the facility and it operates from 8 am to 10 pm daily. Describe your reasoning in steps.\n"} {"instruction": "A chat. John reads 2 books a month. His sister Sarah reads twice as many books as John does in a month. How many books do they read together in a year? Show your steps."} {"instruction": "A chat. How much water would it take to fill an Olympic-sized swimming pool?"} {"instruction": "A chat. In a room, there are 4 dogs and 6 cats. Each dog has 3 legs, and each cat has 4 legs. How many legs are in the room?"} {"instruction": "A chat. A store sells apples for $1 each and oranges for $2 each. If a customer buys a total of 12 fruits and spends $18, how many apples and oranges did they buy?"} {"instruction": "A chat. A train travels from City A to City B in 4 hours. If the distance between the cities is 240 miles, what is the average speed of the train?"} {"instruction": "A chat. A city is planning a large-scale tree planting initiative to improve air quality and urban green spaces. They aim to plant 1 million trees over a period of 10 years. Each tree requires an initial investment of $50 for purchase and planting, as well as ongoing maintenance costs of $20 per year. Calculate the total cost of the project over the 10-year period, taking into account both initial investments and annual maintenance expenses."} {"instruction": "A chat. In a small town, there are 5 houses in a row. The green house is immediately to the left of the white house. The red house is in the middle. The blue house is immediately to the right of the yellow house. What color is the first house?"} {"instruction": "A chat. There are 7 billion people in the world. Each person, on average, speaks 1.5 languages. How many languages are spoken in total? Show your work."} {"instruction": "A chat. In a room, there are 5 cats. Each cat catches 3 mice per day. However, for every 2 mice caught by the cats, one escapes from the room. How many mice are caught at the end of the day?"} {"instruction": "A chat. A factory produces 2000 widgets per day. The production cost per widget is $10, and they are sold at a price of $15 each. What is the daily profit generated by the factory?"} {"instruction": "A chat. A group of friends went on a trip and spent $200 in total. Alex contributed twice as much as Ben, and Chris contributed half as much as Alex. How much did each person contribute?"} {"instruction": "A chat. In an election with 10,000 eligible voters, 65% of the voters cast their ballots. Among those who voted, 55% voted for candidate A, while the rest voted for candidate B. How many votes did each candidate receive?"} {"instruction": "A chat. If you have a cylindrical container with a radius of 4 inches and a height of 10 inches, what is the volume of the container in cubic inches?"} {"instruction": "A chat. A factory produces 500 units of product A every hour and operates for 10 hours a day. How many units of product A are produced in one week?"} {"instruction": "A chat. In a group of 50 people, 35 have a cat, 25 have a dog, and 15 have both a cat and a dog. How many people in the group don't have either a cat or a dog?"} {"instruction": "A chat. A box contains 10 red balls, 8 blue balls, and 12 green balls. If you randomly pick one ball from the box, what is the probability that it is not a green ball?"} {"instruction": "A chat. A school has 5 classes with different numbers of students: Class A has 25 students, Class B has 30 students, Class C has 35 students, Class D has 40 students, and Class E has 45 students. If every student needs 4 notebooks for the year, how many notebooks does the school need to provide?"} {"instruction": "A chat. A hospital wants to improve its patient care by reducing waiting times in the emergency department. Currently, there are 10 doctors working in the emergency department, and each doctor sees an average of 30 patients per day. The hospital aims to reduce the average waiting time from 4 hours to 2 hours. Estimate the number of additional doctors needed to achieve this goal, assuming that each doctor works 8 hours per day and takes 20 minutes to attend to each patient.\n"} {"instruction": "A chat. A rectangular garden has a length that is 3 meters more than twice its width. If the perimeter of the garden is 36 meters, what are the dimensions of the garden?"} {"instruction": "A chat. A group of people wants to split a $300 bill evenly among themselves. If three more people join the group, each person would pay $10 less. How many people are initially in the group?"} {"instruction": "A chat. A cylindrical water tank has a diameter of 10 feet and a height of 15 feet. How many gallons of water can it hold when filled to capacity? (Note: 1 cubic foot = 7.48 gallons)"} {"instruction": "A chat. A book contains 15 chapters. Each chapter has 20 pages. How many pages does the book have? Show your reasoning."} {"instruction": "A chat. A city plans to install solar-powered streetlights along a 10-mile stretch of road. Each streetlight requires a solar panel with a capacity of 250 watts. The local utility company offers a rebate program that covers 30% of the cost of solar panels, which have an average price of $1 per watt. Calculate the total cost of solar panels for this project, factoring in the rebate program, and estimate the number of streetlights that can be installed based on a spacing requirement of one streetlight every 200 feet.\n"} {"instruction": "A chat. A frog fell into a well 30 feet deep. Each day it climbs up 3 feet but at night, it slips back 2 feet. How many days will it take for the frog to get out of the well? Show your work."} {"instruction": "A chat. A large supermarket chain is analyzing its inventory management system to reduce waste and improve product availability. The company stocks over 10,000 products in each store, with varying shelf lives and storage requirements. They aim to maintain a maximum stockout rate of 2% while minimizing spoilage and excess inventory costs. Determine the optimal order quantities and reorder points for each product category, factoring in lead times, supplier reliability, and seasonal demand fluctuations. Explain your approach and any additional data needed for this analysis.\n"} {"instruction": "A chat. A box contains 5 red balls and 3 green balls. Three balls are drawn at random without replacement. What is the probability that exactly two of the three balls drawn are red?"} {"instruction": "A chat. A rectangular garden measures 15 feet by 20 feet. If you want to build a fence around the entire garden with an additional gate that is 3 feet wide, how many linear feet of fencing do you need?"} {"instruction": "A chat. A square has a side length of 10 units. What is the area of the largest circle that can fit inside the square?"} {"instruction": "A chat. A train leaves New York City at 60 mph while another train leaves Los Angeles at 80 mph. How many pancakes can fit on the roof?"} {"instruction": "A chat. If a farmer has 15 sheep and 9 goats, how many legs are there in total among all the animals?"} {"instruction": "A chat. A shipping company is evaluating the efficiency of its delivery routes. They have ten trucks, each with a maximum load capacity of 10 tons. On average, each truck makes four deliveries per day, traveling a total distance of 200 miles. The company wants to optimize its routes to reduce fuel consumption and improve delivery times. Calculate the potential fuel savings if the company can reduce the total daily distance traveled by 15%, assuming each truck consumes 6 miles per gallon of diesel fuel and the current price of diesel is $3.00 per gallon.\n"} {"instruction": "A chat. A company sells a product for $150 per unit. If they offer a discount of 15% on each unit during a sale, what is the new price per unit?"} {"instruction": "A chat. Five friends went out for dinner. They agreed to split the bill evenly among them. After the meal, they realized that one friend had forgotten his wallet. The remaining four friends decided to split the bill evenly among themselves, resulting in each person paying an extra $5. What was the total cost of the meal?"} {"instruction": "A chat. In a town, there are 10 houses on one side of the street and 15 houses on the other side. Each house has an even number of people living in it. The total number of people living in these houses is 100. How many people live in the smallest house?"} {"instruction": "A chat. A store sells two types of pens: Type A costs $3 per pen and Type B costs $5 per pen. If a customer buys a total of 20 pens for $80, how many of each type did they buy?"} {"instruction": "A chat. In a class of 25 students, 12 are boys and the rest are girls. What percentage of the class is made up of girls?"} {"instruction": "A chat. Solve: 4x - 7 = 5."} {"instruction": "A chat. A theme park is designing a new roller coaster with a target thrill factor of 8 out of 10. The design team needs to consider factors such as maximum height, drop angle, number of inversions, and top speed. Using historical data from other roller coasters with similar thrill factors, determine the optimal combination of these variables to achieve the desired thrill level while minimizing construction and maintenance costs.\n"} {"instruction": "A chat. A factory produces two types of products, A and B. Each product A requires 3 hours of labor and each product B requires 2 hours of labor. The factory has a total of 60 hours of labor available per day. If they make a profit of $50 on each product A and $40 on each product B, how many of each product should they produce to maximize their daily profit?"} {"instruction": "A chat. A train travels 100 miles in 2 hours. If it maintains a constant speed, how many miles will it travel in 3 hours and 30 minutes?"} {"instruction": "A chat. In a room, there are 10 people. Each person knows at least 3 other people in the room. What is the minimum number of friendships between all the people?"} {"instruction": "A chat. There are three light switches outside a room with a closed door. One switch controls the light inside the room. You can flip the switches however you want, but once you open the door, you cannot change the switches' positions. How can you determine which switch controls the light without seeing the light from outside?"} {"instruction": "A chat. A store sells apples for $1.50 per pound and oranges for $2.00 per pound. If a customer buys 4 pounds of apples and 3 pounds of oranges, how much will they save if the store offers a 20% discount on the total price?"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B in one day. Product A requires 3 workers to produce, while product B requires 4 workers. How many workers does the factory need in one day to maintain this production level?"} {"instruction": "A chat. In a family of 7 people, each person has a different number of books. The youngest child has 1 book, and each person has 3 more books than the person younger than them. How many books does the oldest family member have?"} {"instruction": "A chat. If a car rental company has 200 cars and each car is rented out for an average of 12 days per month, how much revenue does the company generate in one year if they charge $40 per day for each car?"} {"instruction": "A chat. If a person drinks an average of 3 cups of water per day, how many gallons of water will they consume in one year? (Assume there are 365 days in a year and 16 cups in a gallon.)"} {"instruction": "A chat. A factory produces 250 units of a product every day. Due to increasing demand, the factory increases its production by 10% each week. How many units will be produced on the 4th day of the third week?"} {"instruction": "A chat. In a bag, there are 12 red balls, 8 blue balls, and 10 green balls. If you randomly pick one ball from the bag, what is the probability that it is not a red ball?"} {"instruction": "A chat. In a family, there are 2 parents and 4 children. The father is older than the mother, who is older than all of their children. If the youngest child is 6 years old, and the oldest child is twice as old as the youngest, can we determine the age of the mother?"} {"instruction": "A chat. A company has a total of 120 employees, consisting of full-time and part-time workers. Full-time workers make up 60% of the workforce. If there are twice as many female part-time workers as male part-time workers, how many male part-time workers does the company have?"} {"instruction": "A chat. Calculate the volume of a cylinder with a radius of 4 inches and a height of 10 inches, explaining each step.\n"} {"instruction": "A chat. A store sells two types of products: Product A and Product B. The store has a 60% profit margin on Product A and a 40% profit margin on Product B. If the store sells $10,000 worth of Product A and $15,000 worth of Product B in a month, what is the total profit for that month?"} {"instruction": "A chat. In a family of 6 people, there are four children who each have exactly one sibling with the same age. How many pairs of twins are in this family?"} {"instruction": "A chat. If a car produces 2.3 kg of CO2 per liter of gasoline burned, how much CO2 does it produce after burning 50 liters? Explain your calculation."} {"instruction": "A chat. There are 4 boxes, each containing a different number of apples. Box A has more apples than Box B, and Box C has fewer apples than Box D. If we know that Box A has 10 apples and Box D has 6 apples, how many apples does Box B have?"} {"instruction": "A chat. A factory produces 1500 units of a product per day. Due to increased demand, they decide to increase production by 25%. How many additional units will be produced each day after the increase?"} {"instruction": "A chat. If it takes 5 painters 4 hours to paint 10 rooms, how long would it take 10 painters to paint 20 rooms?"} {"instruction": "A chat. A car rental company charges a flat fee of $20 per day for renting a car. In addition, they charge $0.10 per mile driven. If a customer rents a car for 5 days and drives it for 350 miles, how much will the total cost be?"} {"instruction": "A chat. A man has two children. You know that at least one of them is a boy. What are the odds that both children are boys?"} {"instruction": "A chat. A hospital is planning to upgrade its medical equipment over the next five years. The total budget allocated for this purpose is $25 million. The hospital has identified four categories of equipment that need upgrading: diagnostic machines ($2 million each), surgical tools ($500,000 per set), patient monitoring systems ($100,000 each), and laboratory instruments ($50,000 each). Based on the hospital's current usage patterns and future projections, estimate the optimal allocation of funds across these four categories to maximize the overall improvement in healthcare services. Provide step-by-step reasoning.\n"} {"instruction": "A chat. Determine the Galois group of the polynomial x^4 - 2x^2 + 1 over the rational numbers."} {"instruction": "A chat. In a certain village, every man has a wife, and each wife has one husband. If there are 50 married couples in the village, how many people live in the village?"} {"instruction": "A chat. A factory produces 200 units of product A per day and 300 units of product B per day. If each unit of product A requires 2 hours to produce and each unit of product B requires 3 hours to produce, how many total hours of labor are required per day to produce all units of both products?"} {"instruction": "A chat. A company spends $5,000 on advertising every month and makes an average profit of $25 per product sold. How many products does the company need to sell each month to cover its advertising costs?"} {"instruction": "A chat. A hospital is evaluating the efficiency of its emergency department (ED). They have data on the number of patients arriving at the ED per hour, the average time spent by a patient in the ED, and the percentage of patients who leave without being seen due to long wait times. The hospital wants to reduce the number of patients leaving without being seen by increasing the number of staff members during peak hours. Develop a plan to determine the optimal staffing levels required to achieve this goal, taking into account the current staffing levels and other relevant factors.\n"} {"instruction": "A chat. A group of people is standing in a circle. Each person has a number on their shirt. The sum of all numbers on the shirts is 100. If every third person leaves the circle until only one person remains, what is the number on the last remaining person's shirt?"} {"instruction": "A chat. A store sells two types of candies: type A costs $2 per piece and type B costs $3 per piece. If a customer buys a total of 12 candies and spends exactly $30, how many candies of each type did they buy?"} {"instruction": "A chat. The population of a city increases by 5% every year. If the current population is 200,000, what will be the population after 3 years?"} {"instruction": "A chat. In a certain city, 60% of the population has brown eyes, 30% has blue eyes, and 10% has green eyes. If 80% of the brown-eyed people wear glasses and 50% of the blue-eyed people wear glasses, what percentage of the green-eyed people must wear glasses if exactly 70% of the entire population wears glasses?"} {"instruction": "A chat. In a class of 30 students, 12 are boys and 18 are girls. The teacher randomly selects one student to be the class representative and another student to be the assistant. What is the probability that both positions will be filled by girls?"} {"instruction": "A chat. There are 12 boys and 8 girls in a class. If one student is selected randomly to be the class representative, what is the probability that the chosen student is a girl?"} {"instruction": "A chat. A restaurant serves 80 meals in one hour. If the restaurant is open for 10 hours each day, how many meals does it serve daily? Show your calculations."} {"instruction": "A chat. A store sells 4 types of candy bars. The prices are $1.50, $2.00, $2.50, and $3.00. If a customer buys an equal number of each type of candy bar and spends a total of $36, how many of each type did they buy?"} {"instruction": "A chat. Solve: 4(3x - 5) = 8"} {"instruction": "A chat. Five machines can make five widgets in five minutes. How long would it take 100 machines to make 100 widgets? Show your work."} {"instruction": "A chat. A group of friends goes to a restaurant. There are 4 vegetarians, 3 vegans, and 5 meat-eaters. If everyone orders a meal according to their dietary preference, what is the probability that a randomly chosen person will order a vegetarian meal?"} {"instruction": "A chat. An electronics manufacturer is evaluating the profitability of its product line, consisting of smartphones, tablets, and laptops. They have data on the production costs, retail prices, and sales volumes for each product category. Calculate the profit margin for each product type and rank them according to their contribution to the overall company profits. Describe your methodology and provide sample calculations using hypothetical data.\n"} {"instruction": "A chat. If three painters can paint a house in 12 days, how many painters would be needed to paint the same house in 6 days?"} {"instruction": "A chat. The world consumes about 2 million bottles of soda every 3 minutes. How many bottles of soda are consumed worldwide in a week? Please provide a detailed explanation."} {"instruction": "A chat. A cylindrical water tank has a diameter of 6 feet and a height of 12 feet. What is the volume of the tank in gallons? (1 cubic foot = 7.48 gallons)"} {"instruction": "A chat. How many kilometers does light travel in 10 minutes?"} {"instruction": "A chat. There are 7 billion people on Earth. Roughly how many total fingers are there on Earth? Include reasoning."} {"instruction": "A chat. A store sells apples for $1.50 per pound and oranges for $2.00 per pound. If a customer buys a total of 8 pounds of fruit and spends $13.50, how many pounds of apples and oranges did they buy?"} {"instruction": "A chat. A particle moves along a straight line with an acceleration given by a(t) = 6t - 4. If its initial velocity is v(0) = 10 and its initial position is s(0) = 0, find the position function s(t). Explain your calculations.\n"} {"instruction": "A chat. If a person burns an average of 100 calories per mile while running and wants to burn a total of 1,500 calories, how many miles do they need to run?"} {"instruction": "A chat. Every third person in a line gets a balloon. If there are 150 people in line, how many balloons will be given away? Explain your thought process."} {"instruction": "A chat. In a certain city, the population increases by 2% every year. If the current population is 50,000, what will the population be in 10 years?"} {"instruction": "A chat. If a rectangular room has a length of 12 feet and a width of 10 feet, what is the area of the floor in square yards?"} {"instruction": "A chat. You have 50 coins consisting of nickels (5 cents) and dimes (10 cents) worth $3.75. How many nickels and how many dimes do you have? Demonstrate your thought process."} {"instruction": "A chat. A rectangle has a length that is twice its width. If the perimeter of the rectangle is 36, what are its dimensions?"} {"instruction": "A chat. A man has two children. When asked about his children's ages, he replies \"The product of their ages is 72 and the sum of their ages is the same as today's date.\" Today's date is July 14th. What are the possible ages of his children? Explain step-by-step."} {"instruction": "A chat. A train travels at an average speed of 120 km/h for the first 2 hours of its journey and then increases its speed to 150 km/h for the next 1.5 hours. What is the total distance covered by the train during this time?"} {"instruction": "A chat. A train leaves from City A to City B at 60 mph. At the same time, another train leaves from City B to City A at 80 mph. The distance between the two cities is 280 miles. How many hours will it take for the trains to meet each other?"} {"instruction": "A chat. A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of drawing a red ball followed by a blue ball without replacement?"} {"instruction": "A chat. A factory produces 150 units of a product every day. If the factory operates for 20 days per month, how many units will it produce in a year?"} {"instruction": "A chat. If a rectangular room has a length of 12 meters and a width of 8 meters, what is the area of the floor in square meters?"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour and takes 4 hours to reach its destination. How far away is the destination?"} {"instruction": "A chat. A logistics company is planning to expand its delivery network by adding new vehicles and drivers. The company currently has a fleet of 1,000 trucks, vans, and motorcycles, each with varying cargo capacities, fuel efficiencies, and maintenance costs. The company also employs 2,000 drivers who work in shifts to provide 24/7 service. To meet increasing demand, the company plans to invest $50 million in expanding its fleet and hiring additional drivers. Determine the optimal mix of vehicles and drivers needed to maximize delivery capacity and minimize operating costs. Provide step-by-step reasoning."} {"instruction": "A chat. There are 12 apples in a basket. Some apples are green, and some are red. If there are twice as many green apples as red apples, how many green apples are there?"} {"instruction": "A chat. If a farmer has 15 acres of land and wants to plant apple trees in rows with each tree spaced 20 feet apart, how many trees can he plant if he leaves 10 feet between the edge of his property and the first row of trees?"} {"instruction": "A chat. If a car travels at an average speed of 60 miles per hour for 2 hours and 30 minutes, how far does it travel?"} {"instruction": "A chat. If a car rental company has 120 cars, and 60% of them are rented out on Monday, how many more cars need to be rented out for the company to reach an 80% rental rate?"} {"instruction": "A chat. A hotel chain wants to open a new luxury resort on a tropical island. The resort will have 250 rooms, each with an average nightly rate of $400. The hotel expects an occupancy rate of 70% throughout the year. In addition to room revenue, the hotel will generate income from its restaurants, spa, and other amenities, which is expected to be 30% of the total room revenue. Calculate the annual revenue for this resort, and estimate the time it will take to recover the initial investment of $150 million, assuming an annual profit margin of 20%.\n"} {"instruction": "A chat. In a town, 1/3 of the people have blue eyes, 1/4 have green eyes, and the rest have brown eyes. If there are 48 more people with brown eyes than those with blue eyes, how many people live in the town?"} {"instruction": "A chat. A rectangular garden measures 25 feet by 15 feet. What is the area of the garden in square yards?"} {"instruction": "A chat. If a car rental company has 100 cars, and they rent out 75% of their cars every day, how many days will it take for them to reach a total of 10,000 rentals?"} {"instruction": "A chat. In a town, 1/3 of the people are vegetarians. Among the vegetarians, 2/5 are men. If there are 300 men in the town, how many women are vegetarians?"} {"instruction": "A chat. If a water tank has a capacity of 500 gallons and is currently filled to 80% of its capacity, how many more gallons of water are needed to fill it completely?"} {"instruction": "A chat. In a town, there are 20 houses on one side of the street and 30 houses on the other side. If every house has at least one dog, and each dog barks once per minute, how many times will you hear dogs bark in 10 minutes?"} {"instruction": "A chat. In a family of six people, each person has exactly one sibling. How is this possible?"} {"instruction": "A chat. A factory produces 500 units of a product every day. If each unit sells for $20 and there are no other costs involved, how much revenue does the factory generate in one week?"} {"instruction": "A chat. A catering company is preparing food for a large event with 500 guests. They plan to serve three different types of sandwiches: turkey, ham, and vegetarian. Based on previous events, they estimate that 40% of guests will choose turkey, 35% will choose ham, and 25% will opt for the vegetarian option. Calculate the number of each type of sandwich the caterer should prepare, considering a buffer of 10% extra sandwiches to account for unexpected demand or dietary restrictions. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A water tank has a capacity of 12,000 liters and is currently empty. If a faucet fills the tank at a rate of 15 liters per minute, how many hours will it take to fill the tank completely?"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour for the first two hours of its journey. Then it stops for one hour due to a technical issue. Afterward, it continues traveling at an average speed of 80 miles per hour for the next three hours. What is the train's overall average speed during the entire six-hour period?"} {"instruction": "A chat. If a car travels at an average speed of 60 miles per hour for 3 hours and then at an average speed of 45 miles per hour for another 2 hours, how far has the car traveled in total?"} {"instruction": "A chat. If a factory produces 500 units of product A per day and each unit sells for $20, how much revenue will the factory generate in one year if it operates at full capacity every day?"} {"instruction": "A chat. In a chess tournament, Alex beats Brian. Brian beats Charlie. Does that mean Charlie can beat Alex? Explain your reasoning."} {"instruction": "A chat. If a bacterial colony doubles in size every hour, how many bacteria will there be after 6 hours if the initial population was 50? Provide step-by-step calculations."} {"instruction": "A chat. A zoo is planning to build a new habitat for its giraffes. The enclosure must be large enough to accommodate 10 adult giraffes comfortably, with each giraffe requiring at least 1,000 square feet of space. Calculate the total area needed for the enclosure and estimate the cost if it costs $50 per square foot to construct the habitat.\n"} {"instruction": "A chat. A publishing company wants to increase its output of new titles without compromising quality. Currently, the company publishes 100 books per year, with an average production time of six months from manuscript submission to release. The company aims to shorten this timeline by 20%, allowing them to publish more titles annually. Determine the target production time and identify potential bottlenecks in the process that could be addressed to meet this goal.\n"} {"instruction": "A chat. A rectangular garden has a length that is 3 meters more than twice its width. If the perimeter of the garden is 38 meters, what are the dimensions of the garden?"} {"instruction": "A chat. A company sells a product at $200 per unit. The fixed costs are $20,000 and variable costs are $80 per unit. How many units must be sold to break even?"} {"instruction": "A chat. If a group of people have an average age of 25 years and another group has an average age of 35 years, what is the average age of both groups combined if the first group has 20 people and the second group has 30 people?"} {"instruction": "A chat. In a room, there are 5 cats. Each cat catches 3 mice per day. How many mice do 10 cats catch in one day?"} {"instruction": "A chat. A factory produces 500 units of product X in 8 hours. If the factory operates for 12 hours a day, how many units of product X can it produce in one day?"} {"instruction": "A chat. A national park is analyzing visitor data to determine the ideal number of campsites to build in a new campground. The park receives an average of 5,000 visitors per month during peak season (May-September) and 1,000 visitors per month during the off-season (October-April). Approximately 20% of visitors choose to camp overnight. Each campsite can accommodate up to 6 people, and the park wants to ensure that at least 90% of camping demand can be met. Calculate the optimal number of campsites to build and provide step-by-step reasoning.\n"} {"instruction": "A chat. A large hospital needs to stock up on medical supplies for the upcoming year. They require 500 boxes of gloves, 200 boxes of masks, and 100 boxes of gowns. Gloves cost $25 per box, masks cost $40 per box, and gowns cost $75 per box. There's a bulk discount available: if they purchase more than 600 boxes in total, they receive a 10% discount on the entire order. Determine whether the hospital should take advantage of the bulk discount and calculate the total cost of the order. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A farmer has a rectangular field that measures 300 meters long and 200 meters wide. He wants to plant corn in rows spaced 0.5 meters apart. How many rows of corn can he plant?"} {"instruction": "A chat. A cylindrical water tank has a height of 10 feet and a diameter of 6 feet. How many gallons of water can it hold if one gallon equals 231 cubic inches?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 km/h. The distance between the two towns is 180 km. If the train leaves Town A at 2 PM, what time will it arrive in Town B?"} {"instruction": "A chat. In a small village, there are 4 families. Each family has 2 children. Half of the children in the village have blue eyes, and the other half have brown eyes. If one child from each family moves away, what is the ratio of blue-eyed to brown-eyed children remaining in the village?"} {"instruction": "A chat. Solve the expression: (4^2 - 3 * 2) / (8 - 5)"} {"instruction": "A chat. A train leaves Station A heading towards Station B at 60 mph. At the same time, another train leaves Station B heading towards Station A at 80 mph. The distance between the two stations is 420 miles. When will the trains meet?"} {"instruction": "A chat. Determine the integral of the function g(x) = x^3 - 4x^2 + 6x - 1 with respect to x. Explain your steps.\n"} {"instruction": "A chat. If the sum of three consecutive even integers is 90, what are the integers?"} {"instruction": "A chat. Using Laplace transforms, solve the differential equation y'' + 4y' + 13y = 0 with initial conditions y(0) = 1 and y'(0) = 0."} {"instruction": "A chat. If a baker uses 2 eggs to make 3 cupcakes, how many eggs will he need to make 24 cupcakes? Include your logic."} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour for 2 hours and then increases its speed to 80 miles per hour for another 3 hours. How far does the train travel in total?"} {"instruction": "A chat. A certain city has an average annual rainfall of 45 inches. During one particularly rainy year, the city received 150% of its average annual rainfall. How many inches of rain did the city receive during that year?"} {"instruction": "A chat. A store sells two types of items: Item A costs $4 and Item B costs $7. If a customer buys a total of 15 items and spends $72, how many of each item did they buy?"} {"instruction": "A chat. (6^2 / 3) * 4 - 8 + 10 ="} {"instruction": "A chat. A cruise line is planning to launch a new ship with a capacity of 2,500 passengers. They need to determine the optimal mix of stateroom categories (e.g., inside, ocean view, balcony, suite) to maximize revenue while ensuring high occupancy rates. Calculate the number of staterooms in each category, considering factors such as average ticket prices, passenger preferences, and market trends. Provide step-by-step reasoning for your recommendations."} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour. It takes 2 hours to travel from station A to station B. After stopping at station B for 30 minutes, it continues its journey to station C, which is twice as far away as station A to station B. How long does it take to travel from station A to station C?"} {"instruction": "A chat. A group of friends decided to split the bill evenly among themselves. They ordered food worth $85.80, but forgot to include the tax of 8%. How much should each person pay if there were 6 people in total? Include your calculations."} {"instruction": "A chat. There are three friends named Alice, Bob, and Carol. Alice is older than Bob but younger than Carol. If the sum of their ages is 90 years, and the difference between Alice's age and Bob's age is equal to the difference between Carol's age and Alice's age, how old is Alice?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 mph and then returns to Town A at a speed of 40 mph. What is the average speed for the entire round trip?"} {"instruction": "A chat. In a class of 30 students, every student has a different number of pencils. The student with the most pencils has 30 and no one else has the same number of pencils as anyone else. How many total pencils are there in the class?"} {"instruction": "A chat. A bottle and a cork together cost $1.10. The bottle costs $1 more than the cork. How much does the cork cost?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 miles per hour. It takes 30 minutes for the train to reach Town B. On its way back to Town A, the train increases its speed by 20%. How long does it take for the train to travel back to Town A?"} {"instruction": "A chat. There are 12 fish in a tank. Half of them drown. How many are left?"} {"instruction": "A chat. There are 100 people in a room. Some of them have blue eyes, and some have green eyes. If there are 40 more people with blue eyes than green eyes, how many people have green eyes?"} {"instruction": "A chat. A factory produces 500 units of product A per day and 300 units of product B per day. Each unit of product A sells for $20, while each unit of product B sells for $30. What is the total revenue generated by the factory after 10 days?"} {"instruction": "A chat. A rectangle has a length of 15 cm and a width of 8 cm. What is the area of the rectangle, and what would be the new area if both dimensions were doubled?"} {"instruction": "A chat. In a family of five siblings, each sibling has at least one brother and one sister. What is the minimum number of brothers that any sibling can have?"} {"instruction": "A chat. A restaurant serves 300 meals on average per day. Each meal generates an average profit of $8. How much profit does the restaurant make in a month (30 days)? Explain step-by-step."} {"instruction": "A chat. A hospital is conducting a study on the effectiveness of a new treatment method for patients suffering from chronic pain. They plan to enroll 1,000 patients in the study, with half receiving the new treatment and half receiving a placebo. Each patient's progress will be assessed monthly using a standardized pain scale. To determine the success of the new treatment, the researchers need to analyze the data collected over a period of one year. Describe the steps involved in designing this study, including patient selection, data collection, and statistical analysis.\n"} {"instruction": "A chat. A train travels at a constant speed and takes 3 hours to travel from Town A to Town B. If it leaves Town A at 9 AM, what time will it arrive in Town B if there is a one-hour time difference between the two towns (Town B being ahead)?"} {"instruction": "A chat. There are approximately 7.9 million species on Earth. About 950,000 of these species are insects. What percentage of species on Earth are insects?"} {"instruction": "A chat. A factory produces 1000 widgets per day. Of these, 5% are defective. If a customer buys 10 widgets at random, what is the probability that exactly 2 of them are defective?"} {"instruction": "A chat. A sequence of numbers is defined by the following rule: each term after the first two terms is the sum of the previous two terms. If the first term is 3 and the second term is 5, what is the value of the eighth term in the sequence?"} {"instruction": "A chat. A company pays its employees every 2 weeks. If an employee earns $1200 per month, how much does the employee earn in a pay period? Include all calculations."} {"instruction": "A chat. If a store sells 5 apples for $2, how much would it cost to buy 15 apples?"} {"instruction": "A chat. In a small town, there are 3 barbers. The first barber has a clean shop and neat hair. The second barber has a messy shop but also has neat hair. The third barber has a clean shop but messy hair. If you need a haircut, which barber should you choose?"} {"instruction": "A chat. In a class of 60 students, 25% scored above 90% on an exam, while 50% scored between 70% and 90%. What percentage of students scored below 70%?"} {"instruction": "A chat. A restaurant serves 50 meals a day. Each meal generates $20 in revenue. What is the restaurant's total revenue in a month (assume 30 days)? Explain your thought process."} {"instruction": "A chat. A city is planning to construct a new sports complex that includes a soccer field, basketball courts, and a swimming pool. The construction budget is $5 million, with the following allocation: 40% for the soccer field, 30% for the basketball courts, and 30% for the swimming pool. Calculate the individual budgets for each facility, and estimate the total area of land required for the complex, assuming an average cost per square foot of $100 for the soccer field, $150 for the basketball courts, and $200 for the swimming pool. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A store sells three types of items: type A at $15 each, type B at $25 each, and type C at $40 each. If a customer buys a total of 10 items, including 2 of type A and 4 of type B, what is the total cost of their purchase?"} {"instruction": "A chat. A company spends $12,000 on advertising every month and generates an average of 600 new customers as a result. If they decide to increase their advertising budget by 50%, how many more new customers can they expect to generate each month?"} {"instruction": "A chat. There are 6 apples and 4 oranges in a basket. If you randomly pick two fruits without looking, what is the probability that one fruit will be an apple and the other will be an orange?"} {"instruction": "A chat. In a city with a population of 1,000,000 people, 60% own cars. If the average car owner spends $200 per month on gasoline, what is the total monthly expenditure on gasoline for all car owners in the city?"} {"instruction": "A chat. A factory produces 500 units of a product every day. The production cost per unit is $20, and each unit is sold for $30. What is the daily profit generated by the factory?"} {"instruction": "A chat. A community center is hosting a talent show, and they need to determine the number of chairs to rent for the audience. The center can accommodate up to 200 people, and they expect a turnout rate of 75%. Each chair rental costs $2, and their budget is $400. Calculate how many chairs they should rent and if they will stay within their budget. Explain your reasoning.\n"} {"instruction": "A chat. A factory produces 500 units of a product per day at a cost of $8 per unit. The factory can increase production by 100 units per day for an additional cost of $5 per extra unit produced. If the factory increases production to meet a new demand of 700 units per day, what will be the total daily cost?"} {"instruction": "A chat. Evaluate the limit as x approaches infinity of the function f(x) = (2x^2 + 3x)/(x^2 + 1). Show your work.\n"} {"instruction": "A chat. Calculate the number of pigeons in a park on a sunny day if there are 30 squirrels and 15 ducks."} {"instruction": "A chat. Determine the number of ways to arrange the letters in the word \"MATH\" without any restrictions."} {"instruction": "A chat. A factory produces 250 widgets in 5 days. How many widgets will it produce in a month of 30 days? Show your work."} {"instruction": "A chat. It takes 15 minutes to boil 4 eggs in a pot. How long will it take to boil 12 eggs?"} {"instruction": "A chat. If a factory produces 1500 units of product A and 2000 units of product B in one day, how many days will it take to produce 12,000 units of product A and 16,000 units of product B?"} {"instruction": "A chat. How many possible unique 4-digit numbers can be formed using the digits 1, 2, 3, and 4 without repeating any digit?"} {"instruction": "A chat. A class has 30 students. If 60% of them are boys, how many girls are there in the class? Show your calculations."} {"instruction": "A chat. In a class of 40 students, there are 8 more girls than boys. How many girls and boys are in the class?"} {"instruction": "A chat. An agricultural company wants to optimize its crop yield by implementing new farming techniques and technologies. They currently cultivate 1,000 acres of land, producing an average of 100 bushels per acre. The company has identified several potential improvements, including irrigation systems, soil amendments, and pest control measures. Estimate the potential increase in crop yield if these improvements are implemented, and calculate the return on investment based on the increased revenue generated by higher yields."} {"instruction": "A chat. If it takes 6 minutes to boil an egg, how long will it take to boil 3 eggs simultaneously? Reason step-by-step."} {"instruction": "A chat. There are three people in a room - Alice, Bob, and Carol. Each person flips a fair coin. What is the probability that exactly two of them will flip heads?"} {"instruction": "A chat. In a town, there are 100 houses. If every third house has a red door and every fifth house has a blue door, how many houses have both red and blue doors?"} {"instruction": "A chat. A movie theater has 15 rows of seats. Each row has 18 seats. How many seats are there in the theater? Show your work."} {"instruction": "A chat. In a class of 30 students, 18 students play basketball, 20 students play soccer, and 4 students do not play either sport. How many students play both basketball and soccer?"} {"instruction": "A chat. You have a jar filled with 120 candies. If you eat 3 candies each day, how many days will the candies last? Show your work."} {"instruction": "A chat. In a family of 6 people, there are two parents and four children. The father is older than the mother. The youngest child is half the age of the second oldest child. The third oldest child is twice as old as the youngest child. If the sum of all their ages is 150 years, how old is the youngest child?"} {"instruction": "A chat. What is the sum of all the integers between -50 and 50?"} {"instruction": "A chat. There are 25 students in a class. Each student must form a group with exactly 4 other students for a project. How many groups will be formed?"} {"instruction": "A chat. Calculate the surface area of a sphere with radius 5 cm."} {"instruction": "A chat. A rectangular garden has a length of 20 feet and a width of 12 feet. What is the perimeter of the garden?"} {"instruction": "A chat. A car rental company charges $20 per day for renting a car plus an additional 15 cents per mile driven. If a customer rents a car for 3 days and drives it for 150 miles, how much will the total cost be?"} {"instruction": "A chat. The population of a town increased by 10% in the first year and decreased by 5% in the second year. If the initial population was 10,000, what was the population at the end of the second year? Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a room, there are 4 cats. Each cat can catch 3 mice in an hour. If the number of mice doubles every hour and there were initially 12 mice, how many hours will it take for all the mice to be caught by the cats?"} {"instruction": "A chat. There are 5 red balls and 7 blue balls in a bag. If you draw two balls at random, what is the probability that both balls will be red?"} {"instruction": "A chat. A company has a revenue of $10,000 per month. If their expenses are 70% of their revenue, how much profit do they make in a year?"} {"instruction": "A chat. A tree has 50 apples on it. If you pick 3 apples every day, how many days will it take to pick all the apples from the tree?"} {"instruction": "A chat. A factory produces 500 units of a product every day. The production cost per unit is $20, and they sell each unit for $35. What is their profit after selling all the products produced in 10 days?"} {"instruction": "A chat. A restaurant chain is looking to expand its operations by opening new locations in different cities. To determine the most profitable locations, they need to analyze factors such as population density, average income, competition, and local food preferences. Describe a step-by-step process to evaluate potential locations and rank them based on profitability.\n"} {"instruction": "A chat. A company has an annual revenue of $4,500,000 and spends $2,200,000 on salaries, $1,800,000 on rent, and $600,000 on utilities. What is the company's net profit for the year?"} {"instruction": "A chat. An international shipping company wants to optimize its cargo distribution among various container ships. They have a fleet of 20 ships, each with different capacities ranging from 5,000 to 15,000 tons. The company needs to transport 200,000 tons of cargo across three continents within a month. Develop an efficient plan for distributing the cargo among the ships, taking into account fuel consumption, travel time, port fees, and weather conditions. Explain your reasoning.\n"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes the train 4 hours to travel between two cities. If the train were to travel 20% faster, how long would it take to travel between the same two cities?"} {"instruction": "A chat. A factory produces 500 units of product A every day. Each unit of product A requires 3 units of raw material B. How many units of raw material B does the factory need per week if it operates 6 days a week?"} {"instruction": "A chat. Evaluate the improper integral from 1 to infinity of (1/x^2) dx."} {"instruction": "A chat. You have a deck of 52 playing cards. If you draw two cards without replacement, what is the probability that both cards will be face cards (jack, queen, or king)?"} {"instruction": "A chat. A train travels from Town A to Town B in 2 hours and then continues to Town C, which takes an additional 1 hour. The distance between Town A and Town B is 120 kilometers. If the train maintains a constant speed throughout the entire journey, what is the total distance traveled by the train?"} {"instruction": "A chat. John has twice as many apples as Mary. Together they have 30 apples. How many apples does each person have? Provide step-by-step logic."} {"instruction": "A chat. A company has an annual revenue of $1,200,000 and spends 60% on salaries, 20% on rent, and 10% on utilities. How much money is left for other expenses?"} {"instruction": "A chat. There are 4 red balls and 6 blue balls in a bag. You take out one ball at random, look at its color, and put it back in the bag. Then you take out another ball at random. What is the probability that both balls you took out were red?"} {"instruction": "A chat. A cylindrical container with a radius of 4 inches and a height of 10 inches is filled with water. What is the volume of water in the container?"} {"instruction": "A chat. In a certain city, there are 12,000 households. Of these households, 40% own a dog, 30% own a cat, and 10% own both a dog and a cat. How many households do not own either a dog or a cat?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. If it takes the train 30 minutes to travel between two stations, how far apart are the stations?"} {"instruction": "A chat. A farmer has 15 sheep. Each sheep gives 3 liters of milk per day. How many liters of milk will the farmer get in a month? Assume a month has 30 days. Show your work."} {"instruction": "A chat. A train travels from Town A to Town B in 3 hours. The distance between the towns is 180 miles. If the train makes an unscheduled stop for 10 minutes halfway through the journey, how long does it actually take to travel from Town A to Town B?"} {"instruction": "A chat. A rectangular garden has a length of 15 meters and a width of 8 meters. If you want to build a fence around the entire garden with posts placed every 2 meters, how many posts will you need?"} {"instruction": "A chat. A car travels 400 miles on a full tank of gas. If the car's gas tank holds 12 gallons, what is its fuel efficiency in miles per gallon?"} {"instruction": "A chat. You're driving a bus with 20 passengers. At the first stop, 5 people get off, and 8 new passengers get on. At the second stop, 7 people get off, and 6 new passengers get on. What color are the driver's eyes?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. The distance between the two towns is 240 miles. If it takes the train 3 hours to travel from Town A to Town B, how long will it take the train to travel halfway back to Town A?"} {"instruction": "A chat. If you walk at a constant pace of 3 miles per hour, how far will you have traveled after 45 minutes?"} {"instruction": "A chat. How many gallons of water are used in the United States each day for residential purposes?"} {"instruction": "A chat. A factory produces 1200 units of product X per day. On Monday, the factory produced 50% more than its daily production. On Tuesday, it produced 25% less than its daily production. What was the total production on Monday and Tuesday?"} {"instruction": "A chat. A store sells apples for $1.50 per pound and oranges for $2.00 per pound. If a customer buys a total of 12 pounds of fruit and spends $22.50, how many pounds of each type of fruit did they buy?"} {"instruction": "A chat. In a parking lot, there are 4 times as many blue cars as green cars and twice as many red cars as blue cars. If there are 24 green cars in total, how many cars are in the parking lot?"} {"instruction": "A chat. A group of friends went to an amusem*nt park where they could buy either individual ride tickets or an all-day pass. The cost of an individual ride ticket is $3, and the cost of an all-day pass is $20. If 8 friends went to the park and spent a total of $100 on tickets, how many of them bought all-day passes?"} {"instruction": "A chat. If a sweater costs $45 and is on sale for 20% off, what will be the final price after the discount? Show your work.\n"} {"instruction": "A chat. A box contains 12 pairs of socks, with 6 pairs being black and 6 pairs being white. If you randomly pick two socks without looking, what is the probability that they form a matching pair?"} {"instruction": "A chat. A restaurant offers a lunch special that includes one main dish, one side dish, and one drink. There are 4 choices for the main dish, 3 choices for the side dish, and 2 choices for the drink. How many different lunch combinations can be made?"} {"instruction": "A chat. If a train travels at an average speed of 60 kilometers per hour for 2 hours and then increases its speed to 90 kilometers per hour for the next 3 hours, what is the total distance traveled by the train?"} {"instruction": "A chat. A company has 100 employees, and they want to distribute $50,000 in bonuses among them. The top 10% of performers will receive double the bonus amount compared to the other 90%. How much will each employee in the top 10% receive?"} {"instruction": "A chat. If a car travels at an average speed of 45 mph for 2 hours and then increases its speed to 65 mph for another 3 hours, what is the total distance covered by the car?"} {"instruction": "A chat. A factory produces 200 units of product A and 300 units of product B per hour. Each unit of product A generates $15 profit, while each unit of product B generates $20 profit. How much total profit does the factory make in one week?"} {"instruction": "A chat. In how many ways can you choose a committee of 4 people out of a group of 10 people?"} {"instruction": "A chat. A company has an annual revenue of $1,000,000. If its expenses are 75% of its revenue, how much profit does the company make?"} {"instruction": "A chat. In a town, there are 500 houses. Every house has a dog. Each dog barks at an average rate of 10 times per hour. How many times do dogs bark in total in a day in this town? Provide step-by-step logic."} {"instruction": "A chat. A company has 120 employees who work 8 hours a day, 5 days a week. If they decide to increase their workforce by 25%, how many additional hours will be worked weekly?"} {"instruction": "A chat. A tree doubles its apples every year. After 5 years, it has 32 apples. How many apples did it have initially? Explain your thought process."} {"instruction": "A chat. A man is driving at a constant speed of 40 miles per hour. He passes a gas station at exactly noon. Another car leaves the same gas station traveling in the same direction at a constant speed of 60 miles per hour. At what time will the second car catch up to the first car?"} {"instruction": "A chat. In a town, 60% of the men are married to 80% of the women. What percentage of the population is married? Provide step-by-step reasoning."} {"instruction": "A chat. In a room, there are 5 people who have an average age of 30 years. If a 25-year-old person enters the room, what will be the new average age of all the people in the room?"} {"instruction": "A chat. A rectangular field has a length of 150 meters and a width of 90 meters. If you walk around the perimeter of the field three times, what distance will you cover?"} {"instruction": "A chat. In a room, there are 10 people. Each person has the same number of friends as their age in years. The total number of friendships in the room is 110. How old is the youngest person in the room?"} {"instruction": "A chat. A bank offers a savings account with an annual interest rate of 5%. If you deposit $2,000 into this account, how much money will be in the account after two years if the interest is compounded annually?"} {"instruction": "A chat. A jar contains 5 red marbles, 3 blue marbles, and 2 green marbles. If you draw 3 marbles at random without replacement, what is the probability that you will get exactly one marble of each color?"} {"instruction": "A chat. If you have a rectangular garden that measures 15 meters long and 8 meters wide, how much fencing do you need to enclose it completely?"} {"instruction": "A chat. In a village, there are only two barbers. One barber has a neat haircut while the other one has a messy haircut. Which barber should you go to for a haircut?"} {"instruction": "A chat. In a room full of people, 40% have blue eyes, 30% have green eyes, and the remaining people have brown eyes. If there are 60 people with blue eyes, how many people in total are in the room?"} {"instruction": "A chat. A store sells two types of candies: type A costs $4 per pound and type B costs $8 per pound. A customer buys a total of 12 pounds of candy, spending $72. How many pounds of each type of candy did the customer buy?"} {"instruction": "A chat. A hospital wants to improve its emergency response time by adding more ambulances to its fleet. Currently, they have 15 ambulances, each responding to an average of 20 calls per day. They want to reduce the average response time from 12 minutes to 8 minutes. Determine how many additional ambulances are needed to achieve this goal, assuming that each ambulance has the same capacity and efficiency.\n"} {"instruction": "A chat. A factory produces 200 widgets every day. Each widget requires 3 screws to assemble. If the factory works 6 days a week, how many screws does it need in a month with 30 days?"} {"instruction": "A chat. If you invest $5,000 at an annual interest rate of 4%, compounded annually, how much will your investment be worth after 7 years?"} {"instruction": "A chat. A company has an annual revenue of $500,000. Their expenses are 40% of their revenue, and they pay taxes at a rate of 30% on their profit. What is their net income after taxes?"} {"instruction": "A chat. A company has a total revenue of $1,000,000 per year. If their fixed costs are $300,000 and variable costs are 40% of the revenue, what is their annual profit?"} {"instruction": "A chat. A car rental company charges $25 per day for renting a car, plus an additional fee of $0.10 per mile driven. How much would it cost to rent the car for 3 days and drive it for 250 miles?"} {"instruction": "A chat. A library contains 500 books. If 30% of the books are fiction and the rest are non-fiction, how many non-fiction books are there in the library? Provide your calculation."} {"instruction": "A chat. In a class of 30 students, 18 students play soccer, and 15 students play basketball. If every student plays at least one sport, how many students play both soccer and basketball?"} {"instruction": "A chat. If a train travels at an average speed of 80 kilometers per hour for 7 hours and 45 minutes, how far does it travel?"} {"instruction": "A chat. A company has a revenue of $1,200,000 and its expenses are $800,000. If the company pays 25% tax on its net income, what is the company's net income after taxes?"} {"instruction": "A chat. A cruise ship company is planning a new route that will visit five different ports over ten days. Each port charges docking fees based on the size of the ship and the duration of its stay. The company's two ships have different capacities and costs: Ship A can carry up to 2000 passengers and incurs $10,000 in docking fees per day, while Ship B can carry up to 3000 passengers and incurs $15,000 in docking fees per day. Calculate the total docking fees for each ship and determine which ship would be more cost-effective for this route, considering both passenger capacity and docking fees. Explain your reasoning.\n"} {"instruction": "A chat. A shipping company needs to transport cargo containers from one port to another. Each container has a weight limit of 20 tons, and the ship's maximum capacity is 500 tons. The company charges $200 per ton for transportation. However, if a customer ships more than 10 containers, they receive a 10% discount on the total cost. Calculate the number of containers that can be shipped, the total cost for a customer shipping 15 containers, and explain your reasoning.\n"} {"instruction": "A chat. In a family of 5, there are two sets of twins. One set is identical and the other set is fraternal. The youngest child is not part of either set of twins. If the oldest child has brown eyes, what are the chances that the youngest child also has brown eyes?"} {"instruction": "A chat. A car rental company charges $20 per day plus $0.15 per mile driven. Calculate the total cost of renting a car for three days and driving 150 miles, showing your work.\n"} {"instruction": "A chat. A car rental company charges $25 per day plus an additional 15 cents per mile driven. If you rent a car for 4 days and drive it for 350 miles, how much will the rental cost be?"} {"instruction": "A chat. A store sells 5 different types of fruit. If there are 12 apples, 15 oranges, 8 bananas, 10 pears, and 7 grapes in stock, what is the probability that a customer will pick an apple if they randomly choose one piece of fruit?"} {"instruction": "A chat. A train travels from City A to City B at an average speed of 80 kilometers per hour. The journey takes 3 hours and 45 minutes. What is the distance between City A and City B?"} {"instruction": "A chat. Tom has twice as many marbles as Jerry. Together, they have 18 marbles. How many marbles does Tom have?"} {"instruction": "A chat. If you invest $5000 at an annual interest rate of 6% compounded annually for 5 years, what will be the final amount in your account?"} {"instruction": "A chat. A factory produces 250 units of product X per hour for 16 hours a day. If the factory operates for 6 days a week, how many units of product X will be produced in 4 weeks?"} {"instruction": "A chat. Calculate the electric field at point P due to a charge Q located at point R."} {"instruction": "A chat. Five people participated in a race. Alice finished before Bob but after Charlie. David finished before Edward but after Bob. Who finished first?"} {"instruction": "A chat. A car rental company charges a flat fee of $20 per day plus an additional 10 cents per mile driven. If a customer rents a car for 3 days and spends a total of $85, how many miles did they drive?"} {"instruction": "A chat. A zoo is planning to expand its facilities by adding new animal exhibits. The expansion project has a budget of $5 million, and the zoo needs to decide how many new exhibits to build and what types of animals to include. The construction cost varies depending on the size and complexity of the exhibit: small exhibits cost $500,000, medium-sized exhibits cost $1 million, and large exhibits cost $2 million. Additionally, the zoo must consider the ongoing maintenance and staffing costs associated with each exhibit. Provide step-by-step reasoning to determine the optimal combination of exhibits that maximizes the use of the available budget while considering both initial construction and long-term operational costs.\n"} {"instruction": "A chat. In a certain country half of 5 is 3. If the same proportion holds, what is a third of 10?"} {"instruction": "A chat. A family consumes 3 loaves of bread every week. How many loaves of bread do they consume in a year? Reason step-by-step."} {"instruction": "A chat. John wants to buy a car costing $20,000. He can save $400 a month towards buying the car. However, the price of the car increases by $200 each month. Will John ever be able to buy the car? Explain your thought process."} {"instruction": "A chat. A city has a population of 1 million people. If 55% of the population owns a car, and 30% of those who own a car also own a motorcycle, how many people own both a car and a motorcycle?"} {"instruction": "A chat. A factory produces 1000 widgets per day. Of these, 10% are defective and must be discarded. If the factory operates 6 days a week, how many non-defective widgets does it produce in a week?"} {"instruction": "A chat. Four friends decide to split the cost of a meal equally. However, one friend realizes they forgot their wallet and cannot pay. The other three friends agree to cover the missing share by each paying an extra $5. If the total cost of the meal was $80, how much did each friend originally plan to contribute?"} {"instruction": "A chat. You have 50 red marbles, 75 blue marbles and 25 green marbles. All marbles are identical in size. You blindfold yourself and mix the marbles together. What is the minimum number of marbles you must draw out, without looking, to be sure of getting at least one marble of each color?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding electric buses to its fleet. The city currently has 100 diesel buses, each with a capacity of 50 passengers. They want to replace 30% of the diesel buses with electric ones, which have a capacity of 60 passengers. Calculate the total passenger capacity for the new mixed fleet and compare it to the current capacity. Also, estimate the number of charging stations required if each electric bus needs one charging station per day, and each station can charge two buses simultaneously.\n"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 mph. It takes 3 hours for the train to reach Town B. On its way back to Town A, the train travels at a speed of 40 mph. How long does it take for the train to travel back to Town A?"} {"instruction": "A chat. A city is planning to build a new sports complex with multiple facilities, including a soccer field, basketball courts, and a swimming pool. The total budget for the project is $10 million. The construction cost per square foot is estimated at $150 for the soccer field, $200 for the basketball courts, and $250 for the swimming pool area. Additionally, the maintenance costs are expected to be 5% of the construction cost annually. Calculate the maximum area that can be allocated to each facility within the budget constraints, and estimate the annual maintenance costs for each facility. Provide step-by-step reasoning.\n"} {"instruction": "A chat. An airline is analyzing its flight schedules to maximize profits. They operate ten flights daily between two cities, with varying ticket prices and seating capacities. The airline wants to determine the ideal combination of flights, ticket prices, and seating capacities to maximize revenue without exceeding airport slot restrictions. Describe the steps involved in calculating the optimal solution.\n"} {"instruction": "A chat. A shipping company is considering purchasing a new fleet of cargo ships to increase its capacity. Each ship can carry up to 10,000 tons of cargo and costs $100 million to purchase. The company expects to generate $5 million in revenue per year from each ship. However, maintenance costs are estimated at $2 million per year per ship, and the ships have a useful life of 20 years. Calculate the total upfront investment, annual revenue, and annual maintenance costs for the new fleet if the company purchases 10 ships. Also, estimate the return on investment (ROI) over the 20-year period. Provide step-by-step reasoning.\n"} {"instruction": "A chat. If a car manufacturing company produces 500 cars every day, how many cars would they produce in a non-leap year? Show your reasoning."} {"instruction": "A chat. A theme park wants to build a new roller coaster with a budget of $30 million. The roller coaster's design includes a vertical drop of 300 feet, five inversions, and a top speed of 100 mph. The cost breakdown is as follows: 70% for track and support structure, 20% for trains and ride system, and 10% for landscaping and theming. Calculate the individual budgets for each component and estimate the length of the roller coaster based on an average cost of $1,000 per linear foot. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A bacteria culture doubles its population every hour. If there are initially 100 bacteria, how many will there be after one day?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. If it takes 4 hours to travel between two cities, how long would it take for the same train to travel back if its speed doubles?"} {"instruction": "A chat. If a company has an annual revenue of $1,000,000 and spends 30% on salaries, 25% on rent, and 15% on marketing, what percentage of its revenue is left for other expenses or profit?"} {"instruction": "A chat. A father has five sons. Each son has two children, one boy and one girl. How many grandchildren does the father have?"} {"instruction": "A chat. If a train travels at an average speed of 80 kilometers per hour and takes 5 hours to reach its destination, how many minutes does it take to travel half of the distance?"} {"instruction": "A chat. A train travels at a constant speed of 60 km/h and takes 2 hours to reach its destination. If the train increases its speed by 50%, how long will it take to reach the same destination?"} {"instruction": "A chat. A group of 10 friends wants to split the cost of a $2000 vacation package. However, two friends can only afford to pay half as much as the other eight friends. How much will each friend have to pay?"} {"instruction": "A chat. A factory produces 200 widgets per day. However, due to a machine malfunction, 5% of the widgets produced are defective and cannot be sold. How many non-defective widgets does the factory produce in one day?"} {"instruction": "A chat. ((4^2 - 3) * 2) / (8 - 3) ="} {"instruction": "A chat. In a class of 30 students, there are twice as many girls as boys. If each girl has 5 pencils and each boy has 7 pencils, how many pencils do all the students have in total?"} {"instruction": "A chat. In a village, there are 20 houses. If each house has at least one cat and no more than 4 cats, what is the minimum number of cats in the village?"} {"instruction": "A chat. If there are 25 people in a room, what is the probability that at least two of them share the same birthday? Assume that birthdays are uniformly distributed throughout the year."} {"instruction": "A chat. Simplify the expression: (3x^2y^3)^2 * (2xy^2)^3"} {"instruction": "A chat. An international food company plans to expand its operations in Asia by opening 20 new production facilities over the next ten years. Each facility will require an initial investment of $10 million and will generate annual revenues of $5 million. However, due to varying tax rates and operational costs across different countries, the net profit margin ranges from 15% to 25%. Estimate the total net profit generated by these facilities after ten years, taking into account the range of profit margins.\n"} {"instruction": "A chat. If you drive at an average speed of 60 miles per hour for 2 hours and then at an average speed of 80 miles per hour for another 3 hours, how far have you traveled in total?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding new electric buses. The city currently has 100 diesel buses, each with a seating capacity of 50 passengers and an average fuel consumption of 5 miles per gallon. The electric buses have a seating capacity of 60 passengers and a range of 200 miles on a single charge. Calculate the number of electric buses needed to replace the existing fleet while maintaining the same passenger capacity, and estimate the potential reduction in fuel consumption if all diesel buses are replaced.\n"} {"instruction": "A chat. A chemist needs to prepare a solution containing 20% salt by mixing a 10% salt solution with a 40% salt solution. How many liters of each solution should be mixed to obtain 50 liters of the desired 20% solution? Provide step-by-step reasoning.\n"} {"instruction": "A chat. If a person burns 100 calories for every mile they run and they want to burn 750 calories, how many miles do they need to run?"} {"instruction": "A chat. If a rectangular garden is 20 feet long and 15 feet wide, what is the perimeter and area of the garden?"} {"instruction": "A chat. A train leaves a station traveling east at 60 mph. Two hours later, another train leaves the same station traveling west at 80 mph. How far apart are the two trains after 4 hours from the time the first train left?"} {"instruction": "A chat. A bag contains 5 red balls, 7 blue balls, and 3 green balls. If you randomly draw one ball from the bag without looking, what is the probability that it will be either a red or a green ball?"} {"instruction": "A chat. In a triangle with sides measuring 5 cm, 12 cm, and 13 cm, what is the area of the triangle?"} {"instruction": "A chat. In a group of 50 people, 20 are wearing glasses and 30 are not. If we randomly select two people from the group, what is the probability that both of them are wearing glasses?"} {"instruction": "A chat. A box contains red and blue balls. If you take two balls out of the box at random without replacement, the probability of getting one red ball and one blue ball is 2/5. What could be the total number of balls in the box?"} {"instruction": "A chat. In a class of 30 students, 12 are girls. What percentage of the class is made up of boys? Explain step-by-step."} {"instruction": "A chat. A king has no sons, no daughters, and no queen. For this king, there is no heir to the throne. Who is the king?"} {"instruction": "A chat. A company sells products at a profit margin of 25%. If they sell an item for $150, what was their cost to produce it?"} {"instruction": "A chat. A train travels at a speed of 60 mph from Town A to Town B. On its way back from Town B to Town A, it travels at a speed of 40 mph. What is the average speed of the train for the entire trip?"} {"instruction": "A chat. If a tree produces 200 apples each year, and only 1 in every 10 apples grow into a new apple tree, how many trees will there be after 5 years? Assume that the original tree does not die within these 5 years."} {"instruction": "A chat. Determine the eigenvalues and eigenvectors of the matrix \n | 2 1 |\n | 1 2 |\nShow your work.\n"} {"instruction": "A chat. A bag contains red, blue, and green marbles. The ratio of red to blue marbles is 3:4, and the ratio of blue to green marbles is 2:5. If there are a total of 99 marbles in the bag, how many marbles of each color are there?"} {"instruction": "A chat. In a class of 30 students, 18 have brown eyes and 12 have blue eyes. What percentage of the class has brown eyes? Explain your reasoning.\n"} {"instruction": "A chat. In a village, there are 20 houses. Each house has at least one cat and no more than four cats. The total number of cats in the village is exactly 50. How many houses have four cats?"} {"instruction": "A chat. In a class of 40 students, 75% of them passed the math exam, and 80% of them passed the English exam. If 70% of the students passed both exams, how many students failed both exams?"} {"instruction": "A chat. A rectangular garden has a length that is 4 meters longer than its width. If the area of the garden is 96 square meters, what are the dimensions of the garden?"} {"instruction": "A chat. A standard deck of cards contains 52 cards: 4 suits of 13 cards each. How many ways can you draw 5 cards such that at least one card is a heart?"} {"instruction": "A chat. In a class of 30 students, each student has a different number of pencils. The teacher knows that no two students have the same number of pencils. If the student with the most pencils has 50 pencils, what is the minimum number of pencils the student with the least pencils could have?"} {"instruction": "A chat. A company has a profit margin of 25% on its products. If the cost to produce one unit is $60, how much should they sell it for to achieve their desired profit margin?"} {"instruction": "A chat. In a box, there are 8 red balls and 6 blue balls. If you randomly pick one ball from the box, what is the probability of picking a red ball?"} {"instruction": "A chat. A car rental company has a fleet of 100 cars. Each car is rented for an average of 15 days per month at a rate of $40 per day. How much revenue does the company generate from car rentals in one year?"} {"instruction": "A chat. Solve: 3x - 7 = 5x + 11."} {"instruction": "A chat. In a school, there are 240 students. Among them, 40% play basketball and 30% play soccer. If 12% of the students play both sports, what is the total number of students who play either basketball or soccer?"} {"instruction": "A chat. A bee enters a flower shop and buys 12 roses. Each rose costs $2 more than the previous one, and the first rose cost $1. How much did the bee spend in total? Include your thought process."} {"instruction": "A chat. A company has 5 employees who work on commission. Each employee earns $1000 plus 10% of their total sales for the month. If the combined sales for all employees is $50,000, what is the average monthly salary for an employee at this company?"} {"instruction": "A chat. A professional sports team is evaluating the potential revenue from selling advertising space on their stadium's digital billboard. The billboard has a total display area of 10,000 square feet and can accommodate up to 50 ads at a time. The team plays 80 home games per season, with each game lasting approximately 3 hours. Advertisers are charged based on the number of impressions (views) their ad receives during a game. On average, each fan in attendance will view the billboard 20 times per game. If the stadium has a seating capacity of 60,000 fans, calculate the total number of impressions generated per season and determine the cost per impression if the team wants to generate $1 million in advertising revenue. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A factory produces 200 units of product A and 300 units of product B each day. Product A requires 4 hours of labor per unit, while product B requires 6 hours of labor per unit. If there are 10 workers in the factory, how many days does it take for them to produce the products?"} {"instruction": "A chat. There are 5 apples and 7 oranges in a basket. Tom takes out 3 apples and puts in 4 oranges. How many apples are left in the basket?"} {"instruction": "A chat. If a car rental company charges $20 per day for renting a car and an additional 15 cents per mile driven, how much would it cost to rent the car for 5 days and drive it for 250 miles?"} {"instruction": "A chat. In a small village, there are 100 houses numbered from 1 to 100. The mayor wants to paint the house numbers on each door using only two colors: red and blue. She decides that if a house number is divisible by 4 or ends with the digit 7, it will be painted red; otherwise, it will be painted blue. How many houses will have their numbers painted red?"} {"instruction": "A chat. You have a book with 500 pages. You start reading on page 1. Every day you turn 10 pages. On what day will you reach page 250? Provide step-by-step logic."} {"instruction": "A chat. There are 10 red balls, 20 blue balls, and 30 green balls in a box. If you randomly pick two balls from the box without replacement, what is the probability that both balls will be green?"} {"instruction": "A chat. A university is planning to renovate its dormitories over the summer break. There are 10 dormitory buildings, each with 50 rooms. Each room requires new flooring at a cost of $20 per square foot, and an average room size is 200 square feet. Additionally, each building needs a new roof at a cost of $30,000 per building. Calculate the total cost of renovations for all dormitories, providing step-by-step reasoning.\n"} {"instruction": "A chat. Three friends, Alice, Bob, and Carol, each have a different number of coins. If Alice gives 7 coins to Bob, she will have the same number of coins as Carol. If Bob gives 11 coins to Carol, he will have the same number of coins as Alice. How many more coins does Alice have than Carol?"} {"instruction": "A chat. In a town, 40% of the people own cats, and 30% of the people own dogs. If 10% of the people own both cats and dogs, what percentage of the people in the town do not own any pets?"} {"instruction": "A chat. A factory produces 200 units of product A and 300 units of product B per day. Product A requires 2 hours of labor, while product B requires 3 hours of labor. If there are 10 workers in the factory who work 8 hours a day, how many days will it take to produce 4000 units of product A and 6000 units of product B?"} {"instruction": "A chat. If you have a cylindrical container with a radius of 5 cm and a height of 10 cm, how much water can it hold in liters?"} {"instruction": "A chat. Using the Pythagorean theorem, determine the length of the hypotenuse in a right triangle with legs measuring 6 cm and 8 cm. Show your work.\n"} {"instruction": "A chat. A train leaves Station A at 10:00 AM traveling east at 80 mph. Another train leaves Station B at 11:00 AM traveling west at 60 mph. The distance between Station A and Station B is 300 miles. At what time will the two trains meet?"} {"instruction": "A chat. If you read at an average speed of 250 words per minute, how long will it take you to read a 400-page book with 300 words per page?"} {"instruction": "A chat. If it takes 6 workers to build a house in 8 weeks, how long would it take for 12 workers to build the same house?"} {"instruction": "A chat. There are three light switches outside a room. One of them controls the light inside the room. You can flip the switches as much as you want, but you can only enter the room once. How can you determine which switch controls the light?"} {"instruction": "A chat. There is a rectangular room with dimensions 10 meters by 15 meters. You want to cover the entire floor with square tiles measuring 1 meter by 1 meter. However, you can only buy packs of tiles containing 8 tiles each. What is the minimum number of packs you need to buy?"} {"instruction": "A chat. If a factory produces 1500 items per day and each item has a defect rate of 1.5%, how many defective items will be produced in a month with 30 days?"} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. It takes 4 hours to travel between two cities. If the train stops for half an hour in the middle of the journey, how long does it take to travel between the two cities?"} {"instruction": "A chat. A city wants to install new streetlights along a 10-mile stretch of road to improve nighttime visibility. Streetlights should be placed every 200 feet apart. Calculate the total number of streetlights needed and estimate the installation cost, considering that each streetlight costs $500 to purchase and an additional $300 for installation labor.\n"} {"instruction": "A chat. In a game of poker, what is the probability of being dealt a pair (two cards of the same rank) when drawing two cards from a standard deck of 52 playing cards?"} {"instruction": "A chat. A farmer has a rectangular field that measures 80 meters in length and 60 meters in width. He wants to plant trees around the perimeter of the field at equal intervals of 10 meters apart. How many trees will he need?"} {"instruction": "A chat. A factory produces 1000 widgets per day. Each widget is tested for quality before being shipped out. If 1% of the widgets fail the quality test and are discarded, how many widgets are successfully shipped out each day?"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour for 4 hours, then at an average speed of 80 miles per hour for 2 hours. What is the train's average speed for the entire trip?"} {"instruction": "A chat. In a school of 1,200 students, 60% are boys and the rest are girls. If 75% of the boys and 80% of the girls participated in a sports event, how many students did not participate?"} {"instruction": "A chat. A train travels from City A to City B at a constant speed of 60 mph. Halfway through the journey, it increases its speed to 90 mph for the remaining distance. What is the average speed of the train during the entire trip?"} {"instruction": "A chat. You flip a fair coin three times. What is the probability that you get heads exactly twice? Include your logic."} {"instruction": "A chat. There are 3 red balls and 4 blue balls in a bag. If you randomly pick one ball from the bag without looking, what is the probability of picking a green ball?"} {"instruction": "A chat. A multinational corporation wants to expand its operations into new markets. They have identified five potential countries with varying levels of economic growth, political stability, and market size. Each country requires different levels of investment, ranging from $10 million to $50 million. The company's annual budget for expansion is $100 million. Develop a strategy to allocate funds among these countries based on their potential return on investment (ROI) and risk factors.\n"} {"instruction": "A chat. A store sells packs of pencils with 12 pencils in each pack. If a school needs to buy enough pencils for 480 students, with each student receiving 5 pencils, how many packs should the school purchase?"} {"instruction": "A chat. A bee lands on a flower every 10 seconds. How many flowers can it land on in 15 minutes? Include your reasoning."} {"instruction": "A chat. A hospital needs to purchase new medical equipment worth $10 million. They have secured a loan with an interest rate of 4% annually, which they plan to repay over a period of 7 years. Calculate the annual payment amount, taking into account both principal and interest payments. Additionally, consider that the hospital receives a government grant covering 15% of the equipment cost. Provide step-by-step calculations.\n"} {"instruction": "A chat. A hospital is analyzing its emergency room (ER) wait times in order to improve patient satisfaction. The ER currently sees an average of 200 patients per day, with an average wait time of 45 minutes. The hospital aims to reduce the average wait time to 30 minutes without increasing staff numbers. Determine how many more patients could be seen daily if the target wait time is achieved, assuming that doctors can see one patient every 15 minutes on average. Explain your reasoning.\n"} {"instruction": "A chat. In a class of 40 students, 60% are boys. If 75% of the boys and 80% of the girls pass an exam, what is the overall passing percentage for the entire class?"} {"instruction": "A chat. A restaurant serves 60 customers every hour. How many customers do they serve in a month assuming they operate 8 hours a day, 30 days a month? Explain your thought process."} {"instruction": "A chat. In a group of 25 people, 15 are musicians and 10 are athletes. Among the musicians, 6 also play sports. How many people in the group are exclusively musicians or athletes? Provide step-by-step logic."} {"instruction": "A chat. Solve: 5(2x - 3) = 15."} {"instruction": "A chat. A factory produces 200 widgets every day. Each widget weighs 5 pounds. The factory operates 6 days a week and takes 2 weeks off every year for maintenance. How many pounds of widgets does the factory produce in a year?"} {"instruction": "A chat. In a class of 30 students, 60% are boys. If there are twice as many girls with brown hair than girls with blonde hair, how many girls have brown hair?"} {"instruction": "A chat. A train leaves a station at 9 AM traveling east at 60 mph. Another train leaves the same station at 10 AM traveling west at 40 mph. At what time will they be 300 miles apart?"} {"instruction": "A chat. A factory produces 500 units of product A and 300 units of product B every day. Product A sells for $20 per unit, while product B sells for $30 per unit. What is the combined revenue generated by both products after 15 days?"} {"instruction": "A chat. If a factory produces 500 units of product A and 300 units of product B per day, how many days will it take to produce a total of 8000 units of both products combined?"} {"instruction": "A chat. A train travels from Town A to Town B at a speed of 60 km/h. The return trip from Town B back to Town A is made at a speed of 90 km/h. What is the average speed for the entire round trip?"} {"instruction": "A chat. A hospital is conducting a study on the effectiveness of a new treatment method for patients with chronic pain. The study will involve 5000 participants who will receive the treatment over a period of one year. Each participant will undergo 12 sessions per month, at a cost of $150 per session. The hospital offers a sliding scale payment plan based on income, with 30% of participants receiving a 50% discount on their treatment costs. Calculate the total cost of the study and provide step-by-step reasoning.\n"} {"instruction": "A chat. If two people can build a house in 6 months, how long would it take for one person to build the same house?"} {"instruction": "A chat. A train travels at a speed of 60 miles per hour for 2 hours, then it slows down to 30 miles per hour for another 2 hours. What is the average speed of the train during this trip?"} {"instruction": "A chat. A car rental company charges a flat fee of $20 for renting a car and then an additional $0.10 per mile driven. If Alice rented a car and drove it for 150 miles, how much less did she pay than if she had driven it for 300 miles?"} {"instruction": "A chat. There are 120 people in a room. Some of them are wearing glasses and some are not. If one-third of those who wear glasses also wear hats, and one-fourth of those who don't wear glasses wear hats, there are 40 people with hats in total. How many people are wearing glasses?"} {"instruction": "A chat. A farmer has a total of 100 animals on his farm, consisting of chickens and cows. If there are a total of 284 legs among all the animals, how many chickens does he have?"} {"instruction": "A chat. If it takes 6 workers 4 days to build a wall, how long would it take 9 workers to do the same job assuming they work at the same rate?"} {"instruction": "A chat. Solve the partial differential equation \u2202u/\u2202t = k(\u2202^2u/\u2202x^2) with boundary conditions u(x,0)=sin(pi*x) and u(0,t)=u(1,t)=0."} {"instruction": "A chat. In a school, there are 600 students and 40 teachers. What is the student-to-teacher ratio?"} {"instruction": "A chat. Calculate the curl and divergence of the vector field F(x, y, z) = (yz, xz, xy)."} {"instruction": "A chat. An artist paints 7 paintings every month. However, he sells only 2 paintings every month. At this rate, how many unsold paintings will the artist have after a year? Show your work."} {"instruction": "A chat. Tom has twice as many pencils as Jane, and Jane has 4 more pencils than Sam. If Sam has 6 pencils, how many pencils does Tom have?"} {"instruction": "A chat. A theme park is planning to add a new roller coaster to its attractions. The roller coaster will have a maximum capacity of 24 passengers per ride, with an average ride duration of 3 minutes. The park expects that guests will spend an additional 2 minutes boarding and disembarking from the ride. Calculate the maximum number of guests that can experience the roller coaster in one hour, and estimate the annual revenue generated by this attraction if the park charges $10 per ride and operates 300 days per year. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a class of 36 students, the ratio of boys to girls is 4:5. How many boys and girls are in the class?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. Halfway through the journey, it stops for 15 minutes due to a technical issue. After the stop, it continues its journey at half its original speed. As a result, the total travel time becomes 3 hours longer than initially planned. How long was the initial planned travel time?"} {"instruction": "A chat. If a car rental company has 12 cars and rents them out at a rate of $40 per day, how much would they make in one month if all the cars are rented for an average of 20 days each?"} {"instruction": "A chat. A company produces 150 units of product A and 200 units of product B. The profit for each unit of product A is $30, while the profit for each unit of product B is $40. What is the total profit from selling all produced units?"} {"instruction": "A chat. A car rental company charges a flat fee of $25 plus an additional $0.10 per mile driven. How much would it cost to rent a car for a day if you drive 200 miles?"} {"instruction": "A chat. In a certain factory, there are 5 machines that produce widgets. Each machine can produce 100 widgets per hour. However, due to power limitations, only 3 machines can operate at any given time. If the factory needs to produce 1500 widgets, how long will it take?"} {"instruction": "A chat. There are 120 students in a school. If 60% of the students are boys, how many girls are there in the school?"} {"instruction": "A chat. A hotel chain wants to optimize its pricing strategy by implementing dynamic pricing based on demand patterns. The chain operates 100 hotels with an average of 200 rooms per hotel. During peak travel seasons, room occupancy reaches 95%, while off-peak occupancy drops to 70%. Management aims to achieve a consistent 85% occupancy rate throughout the year. Develop a dynamic pricing model that considers seasonal demand fluctuations and provides incentives for travelers to book during off-peak periods."} {"instruction": "A chat. If a baker uses 15 eggs to make 60 cupcakes, how many eggs would he use to make 150 cupcakes? Show your steps."} {"instruction": "A chat. If a committee of 3 people is to be formed from a group of 8 men and 5 women, in how many ways can this be done if at least one woman must be included?"} {"instruction": "A chat. If a train travels at an average speed of 80 km/h and needs to cover a distance of 400 km, how long will it take for the train to reach its destination?"} {"instruction": "A chat. In a room full of people, 40% are wearing glasses, 30% are wearing hats, and 10% are wearing both glasses and hats. What percentage of people in the room are not wearing either glasses or hats?"} {"instruction": "A chat. If a car rental company has 120 cars and rents out 70% of them on a given day, how many cars are still available for rent?"} {"instruction": "A chat. You're playing a game where you roll a six-sided die. Each time you roll a 6, you win $10. Every other roll costs you $2. On average, how much money do you expect to win or lose each roll?"} {"instruction": "A chat. In a triangle with sides of length 5, 12, and 13, what is the area?"} {"instruction": "A chat. Solve the system of equations: y = 2x + 3 and y = -x + 1."} {"instruction": "A chat. A train travels at an average speed of 80 kilometers per hour. If it takes the train 3 hours to travel from City A to City B, how far apart are the two cities?"} {"instruction": "A chat. In a village, there are 100 houses. Each house has a dog that barks at night. If one night all the dogs except for one stop barking, how many dogs are still barking?"} {"instruction": "A chat. A hospital wants to optimize its emergency room (ER) operations to reduce patient waiting times. Currently, the ER has 10 doctors working in shifts, with an average of 5 patients per hour arriving at the ER. Each doctor takes approximately 20 minutes to treat a patient. Calculate the optimal number of doctors required to ensure that no patient waits more than 30 minutes for treatment. Additionally, determine how many additional examination rooms would be needed if the hospital were to increase the number of doctors to meet this goal.\n"} {"instruction": "A chat. There are 4 houses in a row. The green house is immediately to the left of the white house. The red house is the first one on the left. The blue house is not next to the green house. In which order are the houses arranged?"} {"instruction": "A chat. In a certain town, there are only two types of people: truth-tellers who always tell the truth and liars who always lie. You meet three people named Alice, Bob, and Carol. Alice says that Bob is a liar. Bob says that Carol is a liar. Carol says that both Alice and Bob are truth-tellers. Who is telling the truth and who is lying?"} {"instruction": "A chat. An art gallery wants to organize a special exhibition featuring works from various artists around the world. The gallery has a budget of $500,000 for acquiring artwork, shipping, insurance, marketing, and event organization. They also need to consider potential revenue from ticket sales, merchandise, and artwork sales. Develop a plan for curating the exhibition within budget while maximizing visitor engagement and potential profits."} {"instruction": "A chat. A man has 53 socks in his drawer: 21 identical blue ones, 15 identical black ones, and 17 identical red ones. The room is dark, and he cannot see the colors. How many socks must he take out to ensure that he has at least one matching pair?"} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. If all the even-numbered houses have blue doors and all the odd-numbered houses have red doors, how many more red doors are there than blue doors?"} {"instruction": "A chat. A box contains red balls and green balls. If you pick two balls at random without replacement, the probability of getting two red balls is 1/3. What is the minimum number of balls in the box? Explain your reasoning."} {"instruction": "A chat. Solve for x: 5x - 3(2x + 1) = 7."} {"instruction": "A chat. The Earth orbits the Sun once every 365.25 days. How many times does the Earth orbit the Sun in 10 years?"} {"instruction": "A chat. A factory produces 500 units of product A per day and 300 units of product B per day. How many units of both products are produced in a month with 30 days?"} {"instruction": "A chat. Evaluate the triple integral of f(x,y,z) = xyz over the region defined by 0<=x<=1, 0<=y<=2, and 0<=z<=3."} {"instruction": "A chat. If you have a cylindrical container with a diameter of 8 inches and a height of 12 inches, how much water can it hold in gallons?"} {"instruction": "A chat. If you invest $10,000 at an annual interest rate of 4%, compounded quarterly, how much money will you have after five years?"} {"instruction": "A chat. In a class of 30 students, 18 are boys and the rest are girls. If 60% of the boys and 80% of the girls passed an exam, how many students in total passed the exam?"} {"instruction": "A chat. There are 100 light bulbs lined up in a row. All the bulbs are initially off. A person walks down the row and toggles every bulb (turns it on if it's off, turns it off if it's on). Then, the person walks back and toggles every second bulb. They continue this process, toggling every third bulb, then every fourth bulb, and so on, until they have walked down the row 100 times. How many bulbs are on after the 100th pass?"} {"instruction": "A chat. An airport is expanding its terminal capacity by adding two new terminals over the next three years. Each terminal can handle 15 flights per hour, and the current average number of passengers per flight is 200. Estimate the increased passenger traffic at the airport after the expansion, factoring in an annual growth rate of 7% in the number of flights and a 3% increase in the average number of passengers per flight. Describe your calculations in steps.\n"} {"instruction": "A chat. A box contains 15 chocolates. John eats 2 chocolates every day. After how many days will the box be empty? Provide your reasoning."} {"instruction": "A chat. There are 20 people in a room. If each person shakes hands with every other person exactly once, how many handshakes occur?"} {"instruction": "A chat. If a person consumes an average of 200 liters of water per day, how many liters will they consume in one year?"} {"instruction": "A chat. A group of friends is playing a game where they take turns rolling a die. The first person to roll a 6 wins. If there are 4 players, what is the probability that Player 1 will win on their first turn?"} {"instruction": "A chat. In a village, there are 100 houses. Every house has at least one pet. If the total number of pets in the village is 200 and no two houses have the same number of pets, what is the maximum number of pets that can be in any single house?"} {"instruction": "A chat. In a class of 30 students, 15 are boys and the rest are girls. If half of the boys have brown eyes, how many boys do not have brown eyes? Explain your reasoning."} {"instruction": "A chat. A car is traveling at a constant speed of 60 mph. How far will it have traveled after 2 hours and 45 minutes?"} {"instruction": "A chat. A shipping company is considering purchasing a new cargo ship to expand its fleet. The ship can carry up to 100,000 tons of cargo and has an estimated operational life of 25 years. The purchase price of the ship is $75 million, and the annual operating cost is $5 million. The company expects to earn an average revenue of $20 per ton of cargo shipped. Determine the minimum annual cargo volume needed for the ship to break even within its operational life, providing step-by-step reasoning.\n"} {"instruction": "A chat. You're reading a book with 300 pages. On the first day, you read 20 pages, and each subsequent day you read 5 more pages than you did the previous day. How many days does it take to finish the book? Provide step-by-step explanation."} {"instruction": "A chat. What is the derivative of e^(3x)?"} {"instruction": "A chat. A train travels from City A to City B in 3 hours. It then waits at City B for 1 hour before traveling back to City A, which takes another 3 hours. What is the average speed of the train during the entire journey?"} {"instruction": "A chat. A train travels at an average speed of 60 miles per hour for 3 hours before stopping for 30 minutes. After the stop, it continues traveling at an average speed of 80 miles per hour for another 2 hours. What is the total distance traveled by the train?"} {"instruction": "A chat. A box contains 4 red balls and 6 blue balls. If you randomly pick one ball, replace it, and then pick another ball, what is the probability that both balls are red?"} {"instruction": "A chat. I have two dogs and three cats. How many fish do I have?"} {"instruction": "A chat. You have 1000 dollars. Every day, you spend 50 dollars. After how many days will you run out of money? Show your steps."} {"instruction": "A chat. An ant starts at one corner of a cube and wants to get to the diagonally opposite corner. It can only walk along the edges of the cube. How many different paths can the ant take if it never travels along the same edge more than once? Detail your thinking."} {"instruction": "A chat. Four people need to cross a rickety bridge at night. Unfortunately, they have only one torch and the bridge is too dangerous to cross without one. The bridge is only strong enough to support two people at a time. Not all people take the same time to cross the bridge. Times for each person: 1 min, 2 mins, 7 mins and 10 mins. What is the shortest time needed for all four of them to cross the bridge?"} {"instruction": "A chat. A cyclist travels at an average speed of 15 miles per hour for 4 hours and then increases their speed to 20 miles per hour for another 3 hours. What is the cyclist's average speed for the entire trip?"} {"instruction": "A chat. In a room, there are 4 people. Each person has 3 apples and 2 oranges. They all give half of their fruits to the person on their right. How many apples does each person have now?"} {"instruction": "A chat. A box contains 5 red balls and 7 blue balls. You randomly pick two balls from the box without replacement. What is the probability that you pick one ball of each color?"} {"instruction": "A chat. A national park is experiencing an increase in visitor numbers and needs to expand its parking facilities to accommodate the growing demand. The current parking lot has a capacity of 300 cars, but they want to increase it by 50%. Calculate the additional land area required for the expansion, taking into account landscaping, drainage systems, and pedestrian walkways. Also, provide an estimate of the construction cost and environmental impact of the project.\n"} {"instruction": "A chat. There are 7 billion people on Earth. About how many times would you have to fold a piece of paper for it to reach the moon? Assume that each fold doubles the thickness, and the distance to the moon is about 238,900 miles."} {"instruction": "A chat. A factory produces 500 units of product A per day. If the demand increases by 30%, how many units should the factory produce daily to meet the new demand? Explain your reasoning.\n"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed. Halfway through the journey, the train stops for 15 minutes. The total travel time, including the stop, is 2 hours and 45 minutes. What would be the total travel time if the train didn't stop halfway?"} {"instruction": "A chat. In a city, 10% of the population uses public transportation. The city has a population of 500,000 people. How many people use public transportation? Explain your logic."} {"instruction": "A chat. A company has an annual revenue of $1 million. If its expenses are 60% of its revenue and it pays taxes at a rate of 30% on its profit, how much is left after paying all expenses and taxes?"} {"instruction": "A chat. A factory produces widgets at a rate of 50 per hour. Each widget requires 3 minutes of quality control inspection before it can be shipped. If the factory operates for 8 hours per day, how many widgets can be inspected and shipped in one day?"} {"instruction": "A chat. In a box, there are red, blue, and green balls. There are twice as many red balls as blue balls, and half as many green balls as red balls. If there are 30 blue balls, how many balls are in the box in total?"} {"instruction": "A chat. A company has 200 employees, and the average salary of all employees is $50,000 per year. If the company decides to give a 10% raise to half of its employees, what will be the new average salary for all employees?"} {"instruction": "A chat. In a village, there are 100 houses numbered from 1 to 100. The mayor decides to paint all the even-numbered houses red and all the odd-numbered houses blue. However, he later changes his mind and decides to paint every third house green instead. How many houses will be painted green?"} {"instruction": "A chat. Calculate the square root of 196 and then multiply it by 5."} {"instruction": "A chat. In a certain city, there are 500,000 people. If 60% of these people own a car and each car owner has an average of 1.5 cars, how many total cars are owned by people in this city?"} {"instruction": "A chat. A factory produces 2500 units of product A in one week. The next week, they increase production by 15%. How many units of product A were produced during the second week?"} {"instruction": "A chat. In a school election, there are 500 students eligible to vote. If 60% of them voted for candidate A and the rest voted for candidate B, how many more votes did candidate A receive than candidate B?"} {"instruction": "A chat. A restaurant serves 100 customers a day on average. Each customer leaves behind approximately 20 grams of food waste. How much food waste does the restaurant produce in a week (7 days)? Provide step-by-step logic."} {"instruction": "A chat. In a room full of people, 40% are wearing glasses, and 60% are not. Of those wearing glasses, 30% have brown hair. Of those not wearing glasses, 20% have brown hair. What percentage of people in the room have brown hair?"} {"instruction": "A chat. A box contains 4 white balls and 6 black balls. If you draw three balls at random with replacement, what is the probability that exactly two of them are white?"} {"instruction": "A chat. If a car travels at an average speed of 60 miles per hour, how many miles will it cover in 45 minutes?"} {"instruction": "A chat. A company produces 1000 units of a product per day at a cost of $5 per unit. If they want to reduce their production costs by 20%, how many units should they produce daily?"} {"instruction": "A chat. A theme park is planning to add new attractions to increase visitor numbers. They have a budget of $15 million for this project. The plan includes adding three new roller coasters, two water rides, and one interactive experience. Calculate the individual budgets for each attraction type, assuming the following allocation: 40% for roller coasters, 30% for water rides, and 30% for the interactive experience. Estimate the number of additional visitors needed to break even on the investment, considering an average ticket price of $60 per person. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A bag contains 4 red balls, 6 blue balls, and 5 green balls. If you draw one ball at random from the bag, what is the probability of drawing a red or a blue ball?"} {"instruction": "A chat. In a certain village, half of the people have blue eyes and one-third of the people have green eyes. The remaining 50 villagers have brown eyes. How many people live in the village?"} {"instruction": "A chat. If a swimming pool holds 25,000 gallons of water and it takes 5 hours to fill it completely, what is the flow rate of the hose filling the pool in gallons per minute?"} {"instruction": "A chat. What is the sum of all multiples of 3 or 5 below 1000?"} {"instruction": "A chat. A company has 150 employees, and they decide to form teams for an upcoming project. If each team must have the same number of members and there should be no more than 10 teams, what are the possible team sizes?"} {"instruction": "A chat. ((7 + 4)^2 - (5 * 3)) / (10 - 2 * 3) ="} {"instruction": "A chat. A train travels from City A to City B at a speed of 60 mph. The return trip from City B to City A takes twice as long because the train travels at half the speed. What is the average speed of the entire round trip?"} {"instruction": "A chat. A bag contains red and blue marbles only. If there are a total of 60 marbles in the bag, and the probability of picking a red marble is twice the probability of picking a blue marble, how many red marbles are in the bag?"} {"instruction": "A chat. A deck of standard playing cards contains 52 cards, divided into 4 suits (hearts, diamonds, clubs, and spades), each containing 13 cards (A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K). What is the probability of drawing two aces from the deck when drawing two cards without replacement?"} {"instruction": "A chat. Tom has twice as many apples as Mary. Together, they have 18 apples. How many apples does Tom have?"} {"instruction": "A chat. There are 5 friends sitting in a circle. Alex is sitting between Brian and Carol. Dave is sitting to the left of Emily but not next to Alex. Who is sitting to the right of Carol?"} {"instruction": "A chat. A company has 120 employees, consisting of 60% full-time workers and the rest part-time workers. How many part-time workers does the company have?"} {"instruction": "A chat. A box contains 5 red balls, 4 blue balls, and 6 green balls. What is the probability of drawing two red balls and one blue ball from the box without replacement?"} {"instruction": "A chat. In a village, there are 100 houses. Every house has either a cat or a dog as a pet. If each cat is in a house with at least one neighbor that also has a cat, how many cats can there be at most?"} {"instruction": "A chat. In a game, you earn 5 points for every correct answer and lose 2 points for every wrong answer. If you answered 20 questions correctly and 10 questions incorrectly, what is your final score? Include your logic."} {"instruction": "A chat. A bag contains 5 red balls, 7 blue balls, and 8 green balls. If you draw 3 balls from the bag without replacement, what is the probability that you will get exactly 1 ball of each color?"} {"instruction": "A chat. A company has 12 employees, and they want to form a committee of 4 members. However, two specific employees cannot be on the committee together due to conflicts. How many possible committees can be formed?"} {"instruction": "A chat. A factory produces 200 units of product A in one day using two machines. Machine X produces twice as many units as machine Y. How many units does machine Y produce in a day?"} {"instruction": "A chat. There are 10 red balls and 6 blue balls in a box. If you randomly pick one ball from the box without looking, what is the probability that it will be a red ball?"} {"instruction": "A chat. If you were traveling at a constant speed of 100 km/h (62 mph), how many hours would it take to drive around the Earth's equator?"} {"instruction": "A chat. In a group of people, 75% are wearing glasses, and 45% are wearing hats. If 30% of the people are wearing both glasses and hats, what percentage of the people are wearing either glasses or hats or both?"} {"instruction": "A chat. If a company has 150 employees and plans to hire an additional 20% of its current workforce, how many new employees will the company hire, and what will be the total number of employees after hiring?"} {"instruction": "A chat. A baker uses 8 cups of flour to make 16 cookies. How many cups of flour does he need to make 48 cookies?"} {"instruction": "A chat. A water tank holds 200 liters of water when full. The tank is currently filled to 80% capacity. How many more liters are needed to fill the tank completely?"} {"instruction": "A chat. An electronics company wants to launch a new smartphone model. They plan to produce 1 million units in the first year. Each unit requires 10 different components sourced from various suppliers. Calculate the total number of components needed for production and develop a procurement strategy considering lead times, supplier reliability, and inventory management costs. Explain your reasoning.\n"} {"instruction": "A chat. Evaluate the expression (6 * 3^2 - 4) / 2."} {"instruction": "A chat. A zoo is looking to expand its collection of animals by adding new species from different continents. The zoo currently has 200 animal species, with an average daily attendance of 5,000 visitors. They have a budget of $1 million for acquiring new animals and building appropriate habitats. Estimate the number of new species that can be added within this budget, considering acquisition costs, habitat construction expenses, and ongoing maintenance costs. Also, calculate the potential increase in visitor numbers and revenue generated by the expansion. Explain your reasoning.\n"} {"instruction": "A chat. Prove that if G is a group of order p^2, where p is prime, then G must be abelian."} {"instruction": "A chat. If a cylindrical water tank has a diameter of 2 meters and a height of 5 meters, what is its volume in cubic meters?"} {"instruction": "A chat. There are 12 black socks and 12 white socks mixed up in a drawer. It's completely dark, and you cannot see the colors. What is the minimum number of socks you must take out to guarantee that you have at least one matching pair?"} {"instruction": "A chat. In a class of 30 students, 60% are boys and the rest are girls. If half of the boys and two-thirds of the girls join the school's sports club, how many students in total have joined the sports club?"} {"instruction": "A chat. A rectangular garden has a length of 60 feet and a width of 40 feet. What is the area of the garden, and how much fencing is needed to enclose it completely?"} {"instruction": "A chat. If a bee flies 10 miles south, then 10 miles east, then 10 miles north and ends up back at its original position, what color was the bear? Explain your thought process."} {"instruction": "A chat. A factory produces 250 units of a product every day. If each unit sells for $35, how much revenue will the factory generate in one week?"} {"instruction": "A chat. A train leaves Town A heading towards Town B at 50 mph. At the same time, another train leaves Town B heading towards Town A at 70 mph. The two towns are 360 miles apart. How long does it take for the trains to meet each other?"} {"instruction": "A chat. A team of 3 painters can paint a house in 6 days. How long would it take for a team of 6 painters to paint two houses?"} {"instruction": "A chat. A store sells two types of products: Product A costs $10 and Product B costs $15. In one week, the store sold a total of 200 items and made $2,600 in sales. How many units of each product were sold?"} {"instruction": "A chat. A factory produces 500 units of a product every day. If each unit is sold for $15, how much revenue will be generated in a month with 30 days?"} {"instruction": "A chat. (4^2 - 3) / (2 + 7) * 6 ="} {"instruction": "A chat. A cylindrical water tank has a diameter of 3 meters and a height of 5 meters. What is its volume in liters?"} {"instruction": "A chat. If a tree produces 200 apples in a year, how many apples will 50 trees produce in five years? Reason step-by-step."} {"instruction": "A chat. A teacher has a box containing 20 red pens, 30 blue pens, and 40 black pens. If she randomly picks one pen from the box without looking, what is the probability that the pen is not black?"} {"instruction": "A chat. A box contains 7 red balls, 8 blue balls, and 9 green balls. You have to pick three balls without looking. What is the minimum number of balls you need to pick to guarantee you have at least two balls of the same color?"} {"instruction": "A chat. If a cyclist travels at an average speed of 12 mph and wants to complete a 96-mile journey in two equal parts with a 30-minute break in between, how long will the entire trip take?"} {"instruction": "A chat. How many miles would a person travel if they walked for 3 hours at a pace of 4 miles per hour?"} {"instruction": "A chat. A rectangular prism has a length of 5 meters, a width of 3 meters, and a height of 2 meters. What is its surface area in square meters?"} {"instruction": "A chat. It takes 20 minutes to cook 5 servings of pasta in a large pot. How long will it take to cook 15 servings of pasta?"} {"instruction": "A chat. If a bacterial colony doubles in size every 20 minutes, how many bacteria will there be after 2 hours if the initial population is 500?"} {"instruction": "A chat. A sports stadium is hosting a major international event and needs to prepare for an influx of visitors from around the world. The stadium has a seating capacity of 80,000 spectators, and organizers expect 60% of attendees to be foreign tourists. Calculate the number of hotel rooms needed to accommodate these visitors, considering average occupancy rates, length of stay, and proximity to the stadium. Also, estimate the additional revenue generated for local businesses during the event.\n"} {"instruction": "A chat. A theme park is planning to build a new roller coaster attraction to increase visitor numbers. The proposed roller coaster has a maximum capacity of 1,200 riders per hour and requires an investment of $20 million. The theme park currently attracts 2 million visitors annually, with an average ticket price of $50 per person. Estimate the return on investment (ROI) for the new roller coaster, considering factors such as construction costs, maintenance expenses, and potential revenue growth.\n"} {"instruction": "A chat. A large hospital is conducting a study on patient wait times in their emergency department. They currently have 20 examination rooms and operate 24 hours a day. On average, each patient spends 45 minutes in an examination room, and there are 5 minutes between patients for cleaning and preparation. Determine the maximum number of patients that can be seen in a 24-hour period and suggest ways to optimize patient flow and reduce wait times. Consider factors such as staffing levels, triage procedures, and patient arrival patterns.\n"} {"instruction": "A chat. A company has 120 employees, and the ratio of male to female employees is 3:2. How many male and female employees are there?"} {"instruction": "A chat. A box contains 4 red balls, 6 blue balls, and 5 green balls. If you randomly pick one ball from the box, what is the probability of picking a red or a blue ball?"} {"instruction": "A chat. In a village, there are 10 houses. Each house has at least one person living in it. If every person in the village is friends with exactly 9 other people, how many people live in the village?"} {"instruction": "A chat. A group of friends decides to split the cost of a $100 gift card evenly among themselves. If each person contributes $20, how many people are in the group?"} {"instruction": "A chat. A car rental company has a fleet of 100 cars. They rent each car for an average of 15 days per month at a rate of $50 per day. What is their monthly revenue from renting all the cars?"} {"instruction": "A chat. A train travels from City A to City B, then from City B to City C. The distance between City A and City B is 200 miles, and the distance between City B and City C is 300 miles. If the train takes 4 hours to travel from City A to City B and 6 hours to travel from City B to City C, what is the average speed of the train for the entire journey?"} {"instruction": "A chat. A square garden has an area of 256 square meters. If you walk around the perimeter of the garden once, how many meters have you walked?"} {"instruction": "A chat. A company produces 500 units of a product every day. The production cost for each unit is $15, and they sell each unit for $30. What is their daily profit?"} {"instruction": "A chat. A telecommunications company wants to expand its network coverage in a rural area. The company plans to install 50 new cell towers, each with a coverage radius of 10 miles. Calculate the total area that can be covered by these new towers and determine if this expansion will provide adequate coverage for the entire rural region, which has an area of 2,500 square miles.\n"} {"instruction": "A chat. A bag contains 5 white balls, 3 black balls, and 4 red balls. You draw one ball at random, replace it in the bag, and then draw another ball. What is the probability that you draw exactly one white ball?"} {"instruction": "A chat. Find the area enclosed by the polar curve r = 2sin(\u03b8) from \u03b8 = 0 to \u03b8 = pi."} {"instruction": "A chat. Three friends decide to share the cost of a meal. The bill comes to $60. One friend says he only has $15, another says he can pay half the bill, and the last says he'll cover the rest. How much does each person owe?"} {"instruction": "A chat. If a factory produces 500 units per day and operates 6 days a week, how many units does it produce in a year?"} {"instruction": "A chat. If you have a 100-foot rope and you cut it into three pieces such that one piece is twice as long as the second piece, and the third piece is three times as long as the second piece, how long is each piece?"} {"instruction": "A chat. If a tree grows at a rate of 1.5 inches per month, how tall will it be after 3 years?"} {"instruction": "A chat. A farmer has 10 acres of land on which he plants corn. Each acre yields an average of 150 bushels of corn. If the farmer sells the corn for $5 per bushel, how much revenue will he generate from his entire harvest?"} {"instruction": "A chat. Sarah has twice as many apples as John. Together, they have 18 apples. How many apples does John have?"} {"instruction": "A chat. In a class of 30 students, there are twice as many girls as boys. If 10% of the girls and 20% of the boys wear glasses, how many students in total wear glasses?"} {"instruction": "A chat. A farmer has chickens and rabbits on his farm. He counts a total of 50 heads and 140 legs. How many chickens and how many rabbits does he have?"} {"instruction": "A chat. Prove that the sum of the angles in any triangle always equals 180 degrees, using geometric reasoning.\n"} {"instruction": "A chat. If a car rental company has 100 cars and rents them out at an average rate of $40 per day, how much would they make in a month if the average number of days each car is rented for is 15?"} {"instruction": "A chat. A large supermarket chain wants to analyze its inventory management system to reduce waste and improve product availability. They currently stock over 50,000 different products across their stores, with an average shelf life of 30 days. Calculate the optimal order frequency and quantities for each product category, taking into account factors such as supplier lead times, storage capacity, and customer demand patterns.\n"} {"instruction": "A chat. An airline company wants to optimize its fleet utilization by minimizing the time aircraft spend on the ground between flights. They have 100 aircraft in their fleet, and each aircraft operates an average of 6 flights per day. The minimum turnaround time between flights is 45 minutes, which includes refueling, cleaning, and boarding. Calculate the total daily downtime for the entire fleet and suggest ways to minimize this downtime without compromising safety or customer satisfaction. Describe your reasoning.\n"} {"instruction": "A chat. How many gallons of water would it take to fill a swimming pool with dimensions of 30 feet long, 15 feet wide, and 6 feet deep?"} {"instruction": "A chat. In a village, there are 10 families. Each family has either one or two children. If the total number of children in the village is 15, how many families have two children?"} {"instruction": "A chat. A company has two types of employees: managers and workers. The total number of employees is 60. If there are twice as many workers as managers, how many managers and workers does the company have?"} {"instruction": "A chat. Prove that the sum of the angles in any triangle always equals 180 degrees.\n"} {"instruction": "A chat. In a bag, there are 6 red balls, 4 blue balls, and 5 green balls. You have to pick one ball without looking. What is the probability of picking a red or a blue ball?"} {"instruction": "A chat. There are 5 red apples and 3 green apples in a basket. If you randomly pick one apple, eat it, and then pick another apple without looking, what is the probability that both apples are red?"} {"instruction": "A chat. A survey found that 60% of people prefer apples over oranges, while 40% prefer oranges. If a group of 10 people is randomly selected, what is the probability that exactly 7 people prefer apples and 3 people prefer oranges?"} {"instruction": "A chat. In a class of 30 students, 18 students passed the math exam and 12 students failed. What is the ratio of students who passed to those who failed?"} {"instruction": "A chat. A box contains red and blue balls. If you randomly pick two balls at once, there's a 50% chance that both will be red. What fraction of the balls in the box are red?"} {"instruction": "A chat. There are 12 students in a class. Each student has to shake hands with every other student exactly once. How many handshakes will there be in total?"} {"instruction": "A chat. A farmer has 12 cows and 16 sheep. He sells half of his cows and one-third of his sheep. How many animals does he have left?"} {"instruction": "A chat. A company's revenue is given by the function R(x) = 100x - x^2, where x represents the number of items sold. Determine the maximum revenue and the number of items that must be sold to achieve it. Provide step-by-step calculations.\n"} {"instruction": "A chat. A rectangular room measures 15 feet in length and 12 feet in width. If the room is to be covered with square tiles, each measuring 2 feet by 2 feet, how many tiles are needed?"} {"instruction": "A chat. Solve: ((7 - 3)^2 + (9 / 3) - 1) * 5 - 10 ="} {"instruction": "A chat. A train leaves Station A traveling at 80 kilometers per hour. Another train leaves Station B, located 240 kilometers away from Station A, traveling towards Station A at 100 kilometers per hour. How long will it take for the two trains to meet?"} {"instruction": "A chat. A group of people decide to invest in a project together. They contribute a total of $100,000. After one year, their investment has grown by 8%. How much money will each person receive if they decide to split the profits equally among five people?"} {"instruction": "A chat. If a sequence follows the pattern x_n = 2x_(n-1) - x_(n-2), where n > 1, and the first two terms are x_1 = 3 and x_2 = 5, what is the value of x_6?"} {"instruction": "A chat. If a store sells 50% more apples on Saturdays than on weekdays, and the average number of apples sold per weekday is 120, how many apples are sold in total during a week with 5 weekdays and 1 Saturday?"} {"instruction": "A chat. There are four people in a room. Each person shakes hands with every other person once. How many handshakes occur? Show your work."} {"instruction": "A chat. How many miles would a person travel if they walked for 2 hours at a speed of 3.5 miles per hour?"} {"instruction": "A chat. If a room has 4 corners, how many unique triangles can be formed using the corners as vertices?"} {"instruction": "A chat. In a town, there are 20 families. Each family has at least one child. There are 8 families with exactly two children and 5 families with three children. How many families have only one child? Provide step-by-step logic."} {"instruction": "A chat. Two airplanes leave an airport at the same time traveling in opposite directions. One plane flies at 300 mph while the other flies at 400 mph. How many oranges are on each airplane?"} {"instruction": "A chat. A cruise ship company is planning a new route that will include stops at five different ports over seven days. The ship can accommodate 3,000 passengers and has an operating cost of $100,000 per day. To break even on this route, the company needs to generate at least $1 million in revenue from ticket sales. Calculate the minimum ticket price required for the company to break even, considering all passengers must disembark at each port stop. Explain your calculations.\n"} {"instruction": "A chat. How many liters of water are there in an Olympic-sized swimming pool?"} {"instruction": "A chat. If a car rental company has 50 cars and rents them out at an average rate of $40 per day, how much revenue will they generate in a month if the cars are rented for an average of 20 days each?"} {"instruction": "A chat. A film production company is planning a new movie project with a budget of $50 million. The main costs involved are salaries for actors and crew members, equipment rentals, location fees, and marketing expenses. Actors' salaries make up 40% of the budget, crew salaries account for 20%, equipment rentals cost 15%, location fees represent 10%, and marketing expenses consume the remaining 15%. Calculate the amount allocated for each expense category and determine if any adjustments need to be made to stay within the budget.\n"} {"instruction": "A chat. In a room, there are 6 people and a total of 15 handshakes occur between them. How many handshakes would there be if an additional person entered the room?"} {"instruction": "A chat. If a baker uses 6 eggs to make 12 cupcakes, how many eggs would they need to make 36 cupcakes?"} {"instruction": "A chat. A factory produces 100 units of a product every day. The production cost per unit decreases by 1% for each additional 10 units produced daily. How much would the production cost decrease if the factory starts producing 150 units per day instead of 100?"} {"instruction": "A chat. A multinational corporation wants to optimize its global supply chain by consolidating its manufacturing facilities. They currently have 15 factories spread across different countries, producing various products. The company plans to reduce the number of factories to 8 while maintaining the same production output. Estimate the potential cost savings from this consolidation, considering factors such as labor costs, transportation costs, and economies of scale. Describe your approach in steps.\n"} {"instruction": "A chat. In a group of 60 people, 35 are wearing glasses and 25 are wearing hats. If 15 people are wearing both glasses and hats, how many people are wearing either glasses or hats but not both?"} {"instruction": "A chat. A store sells apples and oranges. Apples cost $1 each, while oranges cost $2 each. If Alice buys 4 fruits for a total of $6, how many apples did she buy?"} {"instruction": "A chat. In a small town, there are 10 houses on one side of the street and 15 houses on the other side. If each house has at least one dog, and there are a total of 30 dogs in the town, what is the minimum number of houses that have more than one dog?"} {"instruction": "A chat. A store offers a discount on a product such that customers pay only 75% of the original price. If a customer pays $45 for the product after the discount, what was the original price of the product?"} {"instruction": "A chat. In a classroom, 30 students are seated in 5 rows with 6 seats per row. Each student must shake hands with all other students in their row but cannot shake hands with themselves. How many total handshakes occur? Provide step-by-step logic."} {"instruction": "A chat. A rectangular garden measures 15 feet by 20 feet. If a gardener wants to add a 3-foot-wide walking path around the entire garden, what will be the new dimensions of the garden including the path?"} {"instruction": "A chat. If a factory produces 1200 units per day and operates for 20 days in a month, what is the percentage increase in production if it starts operating for 25 days in a month while maintaining the same daily production rate?"} {"instruction": "A chat. In a small town, there are 5 houses in a row. The green house is next to the blue house, but not next to the red house. The yellow house is at one end of the row and has no neighbors on one side. The white house is between the green house and the red house. Which house is in the middle?"} {"instruction": "A chat. If a plane flies at an average speed of 550 miles per hour for 8 hours and 30 minutes, how far does it travel?"} {"instruction": "A chat. A factory produces 200 widgets per hour and operates 16 hours per day. If they need to produce 60,000 widgets in one month (30 days), can they meet this target?"} {"instruction": "A chat. There are 6 people in a room, and they all shake hands with each other once. How many handshakes occurred?"} {"instruction": "A chat. Three friends, Alice, Bob, and Carol, decide to split a pizza equally among themselves. They each eat their respective portions at different rates. If Alice eats her portion in 15 minutes, Bob eats his portion in 20 minutes, and Carol eats her portion in 30 minutes, how long will it take them to finish the entire pizza if they start eating simultaneously?"} {"instruction": "A chat. A factory produces 500 units of a product every day. The production increases by 10% each week. How many units will be produced on the 7th day of the third week?"} {"instruction": "A chat. A farmer has 15 cows, and all but 8 die. How many cows does the farmer have left?"} {"instruction": "A chat. A spherical ball has a diameter of 6 inches. What is its surface area in square inches?"} {"instruction": "A chat. A factory produces 100 widgets per hour. Each widget must pass through three quality control checkpoints before being approved for sale. At each checkpoint, 10% of the remaining widgets are rejected. How many widgets will be approved for sale after one hour of production?"} {"instruction": "A chat. A farmer had 15 sheep, and all but 8 died. How many are left? Explain your reasoning."} {"instruction": "A chat. A box contains 3 red balls and 5 blue balls. You draw two balls at random without replacement. What is the probability that you draw one ball of each color?"} {"instruction": "A chat. A company's revenue increases by 10% each year. If the company had $200,000 in revenue in its first year, what will its revenue be in its fourth year?"} {"instruction": "A chat. Calculate the curl of the vector field F(x,y,z) = xi + yj + zk."} {"instruction": "A chat. In a group of people, 60% have brown eyes, 30% have blue eyes, and 10% have green eyes. If there are 200 people in the group, how many more people have brown eyes than blue eyes?"} {"instruction": "A chat. In a standard deck of 52 playing cards, what is the probability of drawing a red card and then a black card without replacement?"} {"instruction": "A chat. How many ways can you arrange the letters of the word \"MATHEMATICS\" such that no two vowels are adjacent to each other?"} {"instruction": "A chat. In a bag containing red and blue marbles, there are twice as many red marbles as blue marbles. If there are 30 marbles in total, how many of each color are there?"} {"instruction": "A chat. Five friends went to a restaurant for dinner. They ordered four pizzas and divided them equally among themselves. How much pizza did each person get?"} {"instruction": "A chat. A logistics company is analyzing its fleet of delivery trucks to optimize fuel efficiency and reduce operating costs. The company has three types of trucks: small (10 mpg), medium (8 mpg), and large (6 mpg). Each truck type has different cargo capacities and operating costs. Determine the optimal fleet composition to minimize overall costs while maintaining the ability to transport a daily average of 50,000 pounds of cargo. Consider factors such as fuel prices, maintenance costs, and truck purchase prices.\n"} {"instruction": "A chat. There are 10 people in a room. If everyone shakes hands with each other exactly once, how many handshakes occur?"} {"instruction": "A chat. A bag contains 6 red balls, 8 blue balls, and 10 green balls. What is the probability of randomly drawing a red ball followed by a blue ball without replacing the first drawn ball?"} {"instruction": "A chat. A train travels at a constant speed of 60 km/h. If it takes 3 hours to travel between two cities, what would be the distance between these cities?"} {"instruction": "A chat. A factory produces 500 units of product per hour. If the factory operates for 10 hours a day, how many units are produced in 5 days?"} {"instruction": "A chat. A train travels from Town A to Town B at a constant speed of 60 km/h. It takes 2 hours for the train to reach Town B. After a 30-minute break in Town B, the train returns to Town A at a constant speed of 80 km/h. What is the average speed of the entire round trip?"} {"instruction": "A chat. Evaluate the sum of the series from n=1 to infinity of (1/2)^n."} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding new bus routes and increasing the frequency of service. The city has a budget of $10 million for this project and wants to maximize the number of residents served while minimizing travel times. Analyze factors such as population density, existing transit infrastructure, and traffic patterns to determine the optimal allocation of resources for this project.\n"} {"instruction": "A chat. A store offers a discount on bulk purchases. If you buy 10 items or more, you get a 15% discount on your entire purchase. If John buys 12 items at $18 each, how much will he pay after the discount?"} {"instruction": "A chat. In a town, there are 100 houses. Every house has a dog in it. If each dog barks at exactly two other dogs from different houses, how many total barks occur?"} {"instruction": "A chat. In a certain country, there are two types of people: truth-tellers who always tell the truth, and liars who always lie. You come across two people, Alice and Bob. Alice says \"At least one of us is a liar.\" What can you deduce about Alice and Bob?"} {"instruction": "A chat. A theme park is designing a new roller coaster attraction. The park has a budget of $15 million for the project and wants to create a ride that can accommodate at least 1,200 riders per hour. Each train on the roller coaster can hold 24 passengers, and the ride duration is 3 minutes. Calculate the minimum number of trains needed and the required track length to meet the desired capacity, factoring in safety regulations and loading/unloading times. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A company's revenue increased by 20% in the first year and then decreased by 10% in the second year. What is the net percentage change in revenue over the two years?"} {"instruction": "A chat. A shipping company is planning to expand its fleet by purchasing new cargo ships. Each ship has a capacity of 10,000 tons and costs $30 million. The company's budget for this expansion is $150 million. Determine how many ships can be purchased within the budget, and calculate the total additional cargo capacity that will be added to the company's current fleet.\n"} {"instruction": "A chat. A cat eats 5 mice in 6 days. At this rate, how many mice will it eat in 30 days?"} {"instruction": "A chat. A factory produces 500 units of a product per day. Due to an increase in demand, they decide to increase their production by 20% each day for the next three days. How many total units will be produced over the four-day period?"} {"instruction": "A chat. In a bag containing 4 red balls and 6 blue balls, what is the probability of drawing 2 red balls consecutively without replacement?"} {"instruction": "A chat. A group of friends wants to split the cost of a $300 gift evenly among themselves. If each person contributes $25, how many more friends need to join in order for everyone to contribute equally?"} {"instruction": "A chat. A bag contains red, blue, and green marbles. The ratio of red to blue marbles is 3:2, and the ratio of blue to green marbles is 4:5. If there are a total of 90 marbles in the bag, how many of each color are there?"} {"instruction": "A chat. There are 12 black socks and 8 white socks in a drawer. If you pick three socks randomly without looking, what is the probability that you will have at least one pair of matching socks?"} {"instruction": "A chat. A company has an annual revenue of $1,000,000. The cost of goods sold is 55% of the revenue, and the operating expenses are 30% of the revenue. What is the company's net income?"} {"instruction": "A chat. A company has a total of 120 employees. Out of these employees, 40% work in sales, 30% work in marketing, and the remaining employees work in finance. If the company wants to increase its finance department by 50%, how many new employees will they need to hire?"} {"instruction": "A chat. A large supermarket chain plans to optimize its inventory management system by implementing a just-in-time (JIT) delivery model. The company currently holds an average of $10 million worth of inventory across its 100 stores. With the JIT model, they aim to reduce their inventory levels by 50% while maintaining product availability. Estimate the potential cost savings from this transition and describe the steps involved in implementing the JIT model.\n"} {"instruction": "A chat. In a village, there are 10 houses. Each house has a cat living in it. Every day, each cat catches one mouse from every other house except its own. How many mice do the cats catch in total?"} {"instruction": "A chat. Solve the equation (4x - 2) / 2 + 3 = 7."} {"instruction": "A chat. There are 5 cats in a room. Each cat catches 3 mice, and each mouse has eaten 2 pieces of cheese. How many pieces of cheese did the cats save?"} {"instruction": "A chat. Use mathematical induction to prove that 1 + 2 + 3 + ... + n = n(n+1)/2 for all positive integers n."} {"instruction": "A chat. A large corporation is evaluating the cost-effectiveness of offering employees a comprehensive wellness program. The program includes access to fitness facilities, nutrition counseling, stress management workshops, and other health-related services. The company estimates that the program will cost $500 per employee per year. Determine the potential return on investment (ROI) for this program, considering factors such as reduced healthcare costs, increased productivity, and employee retention.\n"} {"instruction": "A chat. If a movie theater has 20 rows with 15 seats in each row, how many people can the theater seat at maximum capacity? Show your work."} {"instruction": "A chat. A train travels at a constant speed of 60 miles per hour. If it takes the train 3 hours to travel from station A to station B, how long will it take for the train to travel from station A to station C if station C is twice as far away from station A as station B?"} {"instruction": "A chat. In a group of people, there are twice as many men as women. There are also three times as many children as women. If there are 36 people in the group, how many men, women, and children are there?"} {"instruction": "A chat. If a factory produces 1500 items per day and the defect rate is 1.5%, how many defective items are produced in a week?"} {"instruction": "A chat. In a class of 30 students, 18 play soccer, 12 play basketball, and 10 play both soccer and basketball. How many students do not play either sport? Provide step-by-step logic."} {"instruction": "A chat. There are 50 people in a room. If all of them shake hands with each other exactly once, how many handshakes will there be?"} {"instruction": "A chat. A city is planning to upgrade its public transportation system by adding electric buses to the existing fleet. The city currently has 100 diesel buses, each with a capacity of 50 passengers. The plan is to replace half of the diesel buses with electric ones over the next five years. Each electric bus costs $500,000 and can hold up to 60 passengers. Calculate the total cost of this project, as well as the increased passenger capacity after the transition. Also, consider that the city receives a 30% government subsidy for each electric bus purchased.\n"} {"instruction": "A chat. In a game, you can win by choosing one of three doors. Behind one door is a car, behind another is a goat, and behind the third is a bicycle. You choose Door 1. Before revealing what's behind your chosen door, the host opens Door 3 to reveal a goat. Now, you have the option to switch your choice to Door 2 or stick with Door 1. Should you switch or stay with your original choice?"} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" Each box contains either only apples, only oranges, or a mix of both fruits. However, all the labels on the boxes are incorrect. Without looking inside, you may take one fruit from any box. After doing so, can you correctly label all the boxes?"} {"instruction": "A chat. A farmer wants to plant a rectangular garden with a perimeter of 100 meters. He decides to use one side of his barn as one of the longer sides of the rectangle. If the length of the barn is 30 meters, what is the area of the garden?"} {"instruction": "A chat. In a town, 60% of the people have cats, and 40% of the people have dogs. If 20% of the people have both cats and dogs, what percentage of people in the town do not have any pets?"} {"instruction": "A chat. Using Green's theorem, evaluate the line integral \u222eC F \u00b7 dr, where F = and C is the boundary of the region bounded by y=x^2 and y=x."} {"instruction": "A chat. If you have a stack of 1000 sheets of paper, each 0.1 mm thick, how tall will the stack be in meters?"} {"instruction": "A chat. A train leaves Station A and travels toward Station B at a constant speed of 60 mph. At the same time, another train leaves Station B and travels toward Station A at a constant speed of 90 mph. The distance between the two stations is 450 miles. How long will it take for the two trains to meet?"} {"instruction": "A chat. A car travels 30 miles per hour on a highway for 2 hours. It then exits the highway and continues traveling at 20 miles per hour for another 2 hours. What is the average speed of the car during the entire trip?"} {"instruction": "A chat. A man is looking at a photograph and says, \"Brothers and sisters, I have none. But this man's father is my father's son.\" Who is in the photograph?"} {"instruction": "A chat. An airline is analyzing its flight routes to optimize fuel consumption and minimize carbon emissions. They have data on the distance, passenger load, and fuel efficiency of each aircraft type in their fleet. The airline operates 500 flights per day, with an average distance of 1,500 miles per flight. The average fuel consumption for their fleet is 5 gallons per mile. Calculate the total daily fuel consumption and potential savings if they can improve fuel efficiency by 10%. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a family of 5 siblings, each sibling has exactly one brother. How many boys and girls are there in the family?"} {"instruction": "A chat. There are 5 red balls and 7 blue balls in a bag. You need to pick one ball without looking into the bag. What is the probability of picking a red ball if you already know that there are 3 green balls in the bag?"} {"instruction": "A chat. Determine whether the series \u03a3(1/n^2) converges or diverges."} {"instruction": "A chat. In a class of 30 students, there are twice as many girls as boys. If half of the girls wear glasses, how many students in the class do not wear glasses?"} {"instruction": "A chat. If a rectangular room is 12 feet long and 8 feet wide, what is the area of the floor in square yards?"} {"instruction": "A chat. There are 4 siblings - Alex, Ben, Carla, and Dina. Each sibling has a different number of candies. We know that:\n1. Alex has more candies than Ben.\n2. Carla has fewer candies than Dina.\n3. Ben has more candies than Dina.\nWho has the most candies?"} {"instruction": "A chat. A bee enters an empty beehive and then doubles in number every minute. After 60 minutes, the beehive is full. When was the beehive half full? Provide step-by-step logic."} {"instruction": "A chat. A city is planning to construct a new sports complex that includes a soccer field, basketball courts, and a swimming pool. The total budget for the project is $10 million. The cost of constructing the soccer field is $2 million, while each basketball court costs $500,000. The swimming pool has an estimated construction cost of $4 million. Calculate how many basketball courts can be built within the budget, considering additional expenses such as landscaping, parking lots, and lighting, which are expected to consume 20% of the total budget. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A city has an average daily water consumption of 150 gallons per person. If there are 100,000 people living in the city, how much water will be consumed in one week?"} {"instruction": "A chat. A store sells bags of candy containing a mix of red, blue, and green candies. Each bag contains 12 red candies, 8 blue candies, and 10 green candies. If you buy 3 bags, what is the probability of randomly picking a red candy from all the candies in those bags?"} {"instruction": "A chat. If a factory produces 2000 widgets per day, how many days will it take to produce one million widgets?"} {"instruction": "A chat. A national park is planning to build a series of hiking trails throughout its 100-square-mile territory. They want to create a network of trails that allows visitors to access all major points of interest within the park without having to backtrack or repeat sections of the trail. Estimate the total length of trails needed and calculate the cost of constructing these trails, considering factors such as terrain, environmental impact, and maintenance requirements.\n"} {"instruction": "A chat. How many seconds are there in a week?"} {"instruction": "A chat. A train leaves Station A traveling at 80 kilometers per hour towards Station B, which is 320 kilometers away. Another train leaves Station B at the same time, traveling at 100 kilometers per hour towards Station A. When will they meet?"} {"instruction": "A chat. In a box, there are red balls and blue balls. The number of red balls is three times the number of blue balls. If there are 24 balls in total, how many blue balls are there?"} {"instruction": "A chat. In a small town, there are 3 barbers. Barber A takes 15 minutes to cut hair, Barber B takes 20 minutes, and Barber C takes 25 minutes. If all three barbers start cutting hair at the same time, how long will it take for them to finish cutting the hair of 60 customers?"} {"instruction": "A chat. Show that the function f(x) = x^3 - 6x^2 + 11x - 6 is increasing on the interval [3, infinity)."} {"instruction": "A chat. In a competition, there are three teams: Team A, Team B, and Team C. Team A scores higher than Team B. Team B scores lower than Team C. Which team has the lowest score?"} {"instruction": "A chat. In a class of 25 students, 12 are boys and the rest are girls. What is the ratio of boys to girls in the class?"} {"instruction": "A chat. If a rectangle has an area of 120 square inches and a length of 15 inches, what is its width?"} {"instruction": "A chat. A store sells bags of candy with a total weight of 2 kilograms. Each bag contains 5 different types of candies, and the ratio of their weights is 3:4:5:6:7. What is the weight of the heaviest type of candy in each bag?"} {"instruction": "A chat. In a town, there are 10 houses on one side of the street and 15 houses on the other side. If each house has an even number of occupants and the total number of occupants in all the houses is 100, what is the minimum number of occupants in any one house?"} {"instruction": "A chat. In a game show, there are three doors. Behind one door is a car, and behind the other two doors are goats. You choose Door 1. The host, who knows what's behind each door, opens Door 3 to reveal a goat. He then asks if you want to switch your choice to Door 2. Should you switch doors, stick with your original choice, or does it not matter?"} {"instruction": "A chat. An airline wants to optimize its flight schedules between two major cities. Currently, they operate 5 flights per day, each carrying up to 200 passengers. Their goal is to increase passenger capacity by 25% without adding more flights. Calculate the number of additional seats required per flight and suggest aircraft options that can accommodate this increased capacity while maintaining operational efficiency. Provide step-by-step reasoning.\n"} {"instruction": "A chat. In a class of 25 students, 12 students play soccer, 8 students play basketball, and 3 students play both soccer and basketball. How many students don't play either sport?"} {"instruction": "A chat. A bee visits 20 flowers every hour. How many flowers does it visit in half a day? Show your calculations."} {"instruction": "A chat. If you were to stack one-dollar bills equal to the US national debt (approximately $28 trillion), how high would the stack be?"} {"instruction": "A chat. In a class of 40 students, 60% of them are girls. If there are 4 more boys joining the class, what will be the new percentage of girls in the class?"} {"instruction": "A chat. There are 6 apples in a basket and 6 girls in the room. Each girl takes an apple, yet one apple remains in the basket. How is this possible? Explain your reasoning."} {"instruction": "A chat. There are 12 fish in an aquarium. Half of them drowned. How many fish are left?"} {"instruction": "A chat. There are 24 hours in a day. Roughly how many seconds are there in one week? Show your steps."} {"instruction": "A chat. A rectangular garden has a length of 15 meters and a width of 10 meters. The owner wants to increase the area of the garden by 50% by adding an equal amount of space along both the length and the width. What should be the new dimensions of the garden?"} {"instruction": "A chat. There are 6 rows of trees in an orchard. Each row has 15 trees. Each tree yields 30 apples. How many apples are there in the orchard? Provide step-by-step logic."} {"instruction": "A chat. A store sells 3 types of pens: blue, black, and red. The ratio of blue to black pens sold is 2:3, and the ratio of black to red pens sold is 4:5. If the store sells 240 black pens in a week, how many pens does it sell in total?"} {"instruction": "A chat. If a rectangular garden has an area of 200 square meters and its length is twice its width, what are the dimensions of the garden?"} {"instruction": "A chat. A zoo is planning to create a new exhibit featuring various species of birds from around the world. The exhibit will have three sections: tropical birds, waterfowl, and birds of prey. Each section requires different amounts of space and resources. Tropical birds need 200 square feet per bird, waterfowl require 300 square feet per bird, and birds of prey need 400 square feet per bird. The zoo has allocated a total of 20,000 square feet for the exhibit. Determine how many birds of each type can be accommodated within the available space while maintaining a balanced representation of all three categories.\n"} {"instruction": "A chat. In a group of 30 people, 18 have brown eyes, and 12 have blue eyes. If you randomly select 3 people from the group, what is the probability that at least one of them has blue eyes?"} {"instruction": "A chat. In an election, Candidate A received 60% of the votes, while Candidate B received the remaining 40%. If there were a total of 2500 votes cast, how many more votes did Candidate A receive than Candidate B?"} {"instruction": "A chat. There are 5 spies in a room. Each spy has an alias and is known to others by that alias only. One of the spies reveals his true identity, thus losing his status as a spy. How many spies are now in the room? Provide step-by-step logic."} {"instruction": "A chat. A factory produces 450 units of a product every day. If each unit sells for $25, how much revenue will be generated after 30 days?"} {"instruction": "A chat. If a cyclist covers a distance of 120 miles in 6 hours, what is their average speed?"} {"instruction": "A chat. In a room, there are 4 people. Each person has a different number of candies in their pockets. Person A has more candies than Person B and C combined. Person D has fewer candies than Person C but more than Person B. Who has the most candies?"} {"instruction": "A chat. A car rental company plans to add electric vehicles (EVs) to its fleet over the next five years. The company currently has 1,000 gasoline-powered cars and aims to replace 20% of them with EVs by the end of the fifth year. Each EV costs $40,000, and the company expects to save $5,000 per year on fuel and maintenance costs compared to a gasoline-powered car. Calculate the total investment required for this transition and the expected savings after five years. Provide a step-by-step explanation of your calculations."} {"instruction": "A chat. There are three boxes labeled \"Apples,\" \"Oranges,\" and \"Mixed.\" Each box contains either only apples, only oranges, or a mix of both. However, all the labels on the boxes are incorrect. Without looking inside, you can pick one fruit from a box. After picking an apple from the \"Mixed\" box, how should you correctly label all the boxes?"} {"instruction": "A chat. A city is planning to construct a new sports complex with multiple facilities, including a stadium, swimming pool, and tennis courts. The construction budget is $50 million, and the estimated cost breakdown is as follows: 60% for the stadium, 25% for the swimming pool, and 15% for the tennis courts. Calculate the individual budgets for each facility and determine how many square feet can be allocated to each based on an average construction cost of $200 per square foot. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A cone-shaped container has a radius of 6 cm and a height of 10 cm. What is the volume of this container?"} {"instruction": "A chat. A logistics company plans to expand its warehouse capacity by constructing a new facility. The current warehouse can store 10,000 pallets, and the company wants to double its storage capacity. Each pallet occupies an area of 12 square feet, and the height of the warehouse allows for stacking up to 3 pallets vertically. Calculate the dimensions of the new warehouse, assuming it will have the same height as the current one and a rectangular floor plan. Provide step-by-step reasoning.\n"} {"instruction": "A chat. A train has 8 cars, each with a different color. If you can only see 3 cars at a time, how many unique sets of 3 adjacent cars can you see?"} {"instruction": "A chat. There are 12 apples in a basket. Tom takes away 3 apples, then Jane takes half of the remaining apples. How many apples does Jane have?"} {"instruction": "A chat. A company has a budget of $10,000 for employee bonuses. If they want to give each employee an equal bonus and have 25 employees, how much will each employee receive?"} {"instruction": "A chat. A factory produces 500 units of a certain product per day. The production rate increases by 10% each month. How many units will be produced in total during the third month?"} {"instruction": "A chat. In a family gathering, everyone shakes hands with every other person exactly once. If there were a total of 66 handshakes, how many people attended the gathering?"} {"instruction": "A chat. A city is planning to build a new public park that will include various amenities such as playgrounds, sports fields, and walking trails. The total area of the park is 50 acres, with 30% dedicated to playgrounds, 40% to sports fields, and the remaining 30% for walking trails. Calculate the acreage allocated to each amenity and estimate the length of walking trails if they are designed to be 8 feet wide and cover the entire allocated area. Provide step-by-step reasoning.\n"} {"instruction": "A chat. If a bacteria colony doubles in size every 30 minutes, how many times larger will it be after 6 hours?"} {"instruction": "A chat. ((4^2 + 3) / (9 - 6)) * 8 - 2 ="} {"instruction": "A chat. What is the sum of all even numbers between 1 and 100?"} {"instruction": "A chat. A major sporting event will be held in a city over a two-week period, attracting thousands of visitors from around the world. The city's public transportation system needs to adjust its schedules and capacities to accommodate the increased demand. Develop a plan to optimize the use of buses, trains, and taxis during the event, considering factors such as peak travel times, venue locations, and visitor preferences. Explain your reasoning and provide recommendations for improving overall efficiency and user experience.\n"} {"instruction": "A chat. A rectangular garden measures 30 meters in length and 20 meters in width. If a gardener wants to increase the area of the garden by 50%, what should be the new dimensions of the garden if he only extends its length?"} {"instruction": "A chat. A man has two coins in his pocket that add up to 30 cents. One of them is not a nickel. What are the two coins?"} {"instruction": "A chat. A fair six-sided die is rolled three times. What is the probability of rolling at least one \"6\" in these three rolls?"} {"instruction": "A chat. If you have 5 red balls, 4 blue balls, and 6 green balls, how many ways can you arrange them in a row such that no two blue balls are adjacent?"}
16. [PDF] Lesson 8: Representing Proportional Relationships with Equations
Missing: 0.75 reasoning
17. 1D Kinematics Review - with Answers #4 - The Physics Classroom
... travel for both cars). The distance traveled by the gold car is given by the kinematic equation d = vo* t + 0.5*a*t2. The second term cancels and the ...
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