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Carson-Shively
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ai-math-tutor

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[ { "role": "user", "content": "Nancy is filling an aquarium for her fish. She fills it halfway and goes to answer the door. While she's gone, her cat knocks the aquarium over and spills half the water in it. Then Nancy comes back and triples the amount of water in the aquarium. If the aquarium is 4 feet long...
[ { "role": "user", "content": "John is very unfit and decides to work up to doing a push-up. He trains 5 days a week for them and starts with wall push-ups. He adds 1 rep a day and once he gets to 15 reps he will start training high elevation push-ups. and then low elevation push-ups, and finally floor pus...
[ { "role": "user", "content": "James has 20 pairs of red socks and half as many black socks. He has twice as many white socks as red and black combined. How many total socks does he have combined?\nJames has 20/2 = 10 pairs of black socks.\nJames has a total of 20 + 10 = 30 pairs of red and black socks.\nJ...
[ { "role": "user", "content": "Jason drives past 3 convenience stores on his way to work. The distance between the first store and the second store is 6 miles. The distance between the second store and third store is 2/3rds longer than the distance between the first two stores. The distance from his house to...
[ { "role": "user", "content": "Wanda walks her daughter .5 miles to school in the morning and then walks .5 miles home. She repeats this when she meets her daughter after school in the afternoon. They walk to school 5 days a week. How many miles does Wanda walk after 4 weeks?\nEvery day, Wanda walks a tot...
[ { "role": "user", "content": "Chef Michel made shepherd's pie cut into 4 pieces and chicken pot pie cut into 5 pieces for the lunch crowd. 52 customers ordered slices of shepherd's pie and 80 customers ordered slices of chicken pot pie. How many total pies did Chef Michel sell?\nChef Michel made 4 x 52 = 2...
[ { "role": "user", "content": "Annie spends 2 hours a week on chess club, 8 hours a week on drama club, and 3 hours a week on glee club. If there are 12 weeks in each semester and Annie takes the first two weeks off sick, how many hours of extracurriculars does she do before midterms?\nAnnie spends 2+8+3 = 1...
[ { "role": "user", "content": "Forty percent of the students have elected to learn from home during the pandemic. The remaining students are divided into two equal groups, only one of which is physically in school on any day. What percent of students are present in school?\nIf 40% of the students are learnin...
[ { "role": "user", "content": "Jack collects all his neighbors' recycling and sorts out the cans and bottles to return for the deposit. He gets 10 cents per bottle and 5 cents per can. If he recycled 80 bottles and made $15, how many cans did he recycle?\nLet x be the number of cans Jack recycled.\nHe made 1...
[ { "role": "user", "content": "The ski lift carries skiers all the way from the bottom of the mountain to the very top of the mountain, and then drops them off so they can ski back down the mountain. If it takes a skier 15 minutes to ride the lift from the bottom to the top of the mountain, and then it takes...
[ { "role": "user", "content": "When the strawberries at Fruity Farm are ready for harvest, Miguel charges each interested picker $4 to access the strawberry fields. Once there, people pick as many strawberries as they wish, and then take them to Miguel for weighing and pricing. This year, the standard price ...
[ { "role": "user", "content": "Tom invites his parents and 3 siblings to his house. They each eat 3 times a day. How many plates do Tom and his guests use while they are there for the 4 days if each person uses 2 plates per meal?\nThere are 1+2+3 = 6 people eating at Tom's house.\nSo, 6 x 3 = 18 plates are...
[ { "role": "user", "content": "Paul made two bank transfers of $90 and $60 respectively. A service charge of 2% was added to each transaction. If the second transaction was reversed (without the service charge), what is his account balance now if it was $400 before he made any of the transfers?\nThe service ...
[ { "role": "user", "content": "Jame is trying to learn to tear playing cards. He can tear 30 cards at a time. A new deck of cards has 55 cards if you include the jokers and blank cards. He tears cards 3 times a week. If he buys 18 decks how many weeks can he go?\nEach deck has 55 cards, so 18 decks have ...
[ { "role": "user", "content": "In Henry's collection of music CDs, he has 3 more country CDs than rock CDs but twice as many rock CDs as classical CDs. If he has 23 country CDs, how many classical CDs make up his collection?\nLet's start by using algebra to solve for the number of rock CDs. \n\nLet R be the ...
[ { "role": "user", "content": "If Pam is currently twice as young as Rena is, and in 10 years Rena will be 5 years older than her, how old is Pam now?\nLet's start by setting up an equation. Let P be Pam's current age and R be Rena's current age.\nWe know that P = 2R (Pam is twice as young as Rena)\nIn ten y...
[ { "role": "user", "content": "Shara borrowed money from her brother 6 months ago. She returned $10 per month to her brother. Currently, she was able to return half of the money she borrowed. How much will she still owe her brother 4 months from now?\nShara borrowed money 6 months ago and has returned $10 pe...
[ { "role": "user", "content": "Antonio is preparing a meal of spaghetti and meatballs for his family. His recipe for meatballs calls for 1/8 of a pound of hamburger per meatball. Antonio has 8 family members, including himself. If he uses 4 pounds of hamburger to make meatballs, and each member of the fam...
[ { "role": "user", "content": "In preparation for the upcoming Olympics, Rita's swimming coach requires her to swim a total of 1,500 hours. Rita has already completed 50 hours of backstroke, 9 hours of breaststroke, and 121 hours of butterfly, but she is unhappy with her inconsistency. She has therefore deci...
[ { "role": "user", "content": "Jack has 42 pounds, 11 euros, and 3000 yen. If there are 2 pounds per euro and 100 yen per pound, how much does Jack have in yen?\nFirst, we need to convert the euros to pounds: 11 euros x 2 pounds/euro = 22 pounds.\nThen, we can add up all the pounds he has: 42 pounds + 22 pou...
[ { "role": "user", "content": "There are 20 cars lined up at a race. Each of the cars have 2 passengers and a driver, then when the cars go past the race’s halfway point, each car gains another passenger. The cars then continue racing, and the race finishes once every single car has passed the finish line. P...
[ { "role": "user", "content": "Andy is mixing blue, green and white paint in a 1 : 2 : 5 ratio. If he uses 6 gallons of green paint, how many gallons of paint does he use total?\nThe ratio of blue to green to white paint is 1 : 2 : 5, which means for every 2 gallons of green paint, Andy uses 1 gallon of blue...
[ { "role": "user", "content": "Aubree saw 20 beavers and 40 chipmunks by a tree when going to school and scared them away when they saw her. While coming back from school, she realized the number of beavers had doubled and the number of chipmunks had decreased by 10. What's the total number of animals she sa...
[ { "role": "user", "content": "A portable computer drive has enough kilobytes of storage space to store 2000 photos. Each photo is 1.5 kilobytes in size. How many 200-kilobyte videos can it store if it already has 400 photos on it?\nThe total kilobytes needed to store 400 photos is 400 x 1.5 = 600 kilobytes....
[ { "role": "user", "content": "A farmer is growing corn. For every 4 seeds he plants, he gets one ear of corn, that he can sell for $.1. It costs $.5 for a bag with 100 seeds. If he makes $40 in profit, how many ears did he sell?\nThe farmer gets 1 ear of corn for every 4 seeds, so he needs 4 seeds/$0.1 = 40...
[ { "role": "user", "content": "A frog lays 800 eggs a year. 10 percent dry up, and 70 percent are eaten. 1/4 of the remaining eggs end up hatching, how many frogs hatch out of the 800?\n10 percent of 800 is 800 x 0.1 = 80 eggs that dry up.\n70 percent of 800 is 800 x 0.7 = 560 eggs that are eaten.\nThe tot...
[ { "role": "user", "content": "Timmy's parents have a 2 car garage, which has both cars inside it. Also inside is a riding lawnmower, a bicycle for Timmy as well as each of his parents, a tricycle for Timmy's little brother Joey, and a unicycle that Timmy's dad practices riding on. How many wheels in total...
[ { "role": "user", "content": "The ratio of coins that Elsa has to that which Amalie has is 10:45. If the total number of coins they have is 440, and Amalie spends 3/4 of what she has on toys, how many will she remain with?\nThe ratio 10:45 simplifies to 2:9.\nLet x be the number of coins Elsa has.\nThen, th...
[ { "role": "user", "content": "Tayzia and her two young daughters get haircuts. Women’s haircuts are $48. Children’s haircuts are $36. If Tayzia wants to give a 20% tip to the hair stylist, how much would it be?\nThe cost of Tayzia's haircut is $48. The cost of each daughter's haircut is $36, so the total...
[ { "role": "user", "content": "Alex and Max are running a race against each other. At the beginning of the race they are even with each other for 200 feet. Then Alex gets ahead of Max by 300 feet. Then Max gets ahead of Alex by 170 feet. Alex gets a burst of speed and gets ahead of Max by 440 feet. If the ro...
[ { "role": "user", "content": "Queenie earns $150 a day as a part-time clerk. She earns an additional $5 per hour as overtime pay. How much will Queenie receive for working 5 days with 4 hours overtime?\nQueenie earns $150 x 5 = $750 for working 5 days.\nShe will earn $5 x 4 = $20 for working 4 hours overtim...
[ { "role": "user", "content": "Steve has a bank account that earns 10% interest every year. He puts $100 in it, and then 10 each year. How much money is in it after two years?\nAfter the first year, Steve has 100 + 10 = $110 in his account.\nAfter the second year, he has 110 + 10 = $120 in his account.\nThe ...
[ { "role": "user", "content": "A watermelon stand sold 46 watermelons. Seventeen customers bought one melon, three customers bought three melons, and the rest bought two melons. How many customers bought two watermelons?\nThe number of customers who bought one or three watermelons is 17 + 3 = 20.\nLet x be t...
[ { "role": "user", "content": "Ann, Becky, and Julia are working at a pharmacy, every day for 8 hours. Each of them is providing service to 7 customers per hour. One day Julia had to finish her work earlier, so she was working only for 6 hours. How many customers did all three of these women serve that day i...
[ { "role": "user", "content": "Based on a 2008 study, children 6–11 years old spend 45 minutes each day watching television. How many hours do these children watch television in 2 weeks if they are allowed to watch television 4 days a week?\nIn one day, children watch 45 minutes x 4 = 180 minutes of televisi...
[ { "role": "user", "content": "While camping, Cyrus counted 14 mosquito bites on his arms and legs. He later counted another 10 on his body. While he was suffering, his entire family of 6 other people only got a total of half the number of bites that Cyrus got. If they all have an equal number of bites, how ...
[ { "role": "user", "content": "Amanda needs 12 more marbles to have twice as many marbles as Katrina, and Mabel has 5 times as many marbles as Katrina. If Mabel has 85 marbles, how many more marbles does Mabel have than Amanda?\nKatrina has 85/5 = 17 marbles.\nTwice the number of Katrina's marbles is 17 x 2 ...
[ { "role": "user", "content": "Reynald is the head of the varsity department, and he bought 145 balls. Twenty were soccer balls. There were five more basketballs than the soccer balls. Twice the number of soccer balls were tennis balls. There were ten more baseballs than the soccer balls, and the rest were ...
[ { "role": "user", "content": "A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further an...
[ { "role": "user", "content": "The Lion King cost 10 million to make and earned 200 million at the box office. If it earned a profit that was half of what Star Wars made and Star Wars cost 25 million to make, how many millions did Star Wars earn?\nThe profit made by The Lion King is 200 - 10 = 190 million.\n...
[ { "role": "user", "content": "It takes 320 rose petals to make an ounce of perfume. If each rose produces 8 petals, and there are 12 roses per bush, how many bushes will Fern have to harvest to make 20 12-ounce bottles of perfume?\nOne bottle of perfume requires 12 x 20 = 240 rose petals.\nEach rose produce...
[ { "role": "user", "content": "During a recent three-day trip to Italy, Keziah and her mom went mushroom picking. They sold all the mushrooms they picked on the first day for a total of $58. The day after, they picked 12 mushrooms. On the last day, they picked double the mushrooms they had picked the previou...
[ { "role": "user", "content": "7 out of 40 people in a cafeteria are wearing checkered shirts. The rest of the people are wearing vertical stripes and horizontal stripes. The number of people wearing horizontal stripes is 4 times as many as the people wearing checkered shirts. How many people are wearing ver...
[ { "role": "user", "content": "Peggy buys 3 folders, one each in the colors red, green, and blue. She puts ten sheets of paper in each folder, and then, she puts star-shaped stickers on each sheet of paper. In the red folder, each sheet of paper gets 3 stickers. In the green folder, each sheet of paper ge...
[ { "role": "user", "content": "Emberly takes her mornings walks every day. If each walk takes her 1 hour covering 4 miles, and she didn't walk for 4 days in March, calculate the total number of miles she's walked.\nEmberly walks for 1 hour every day covering 4 miles, which means she walks 4 miles/day.\nIf sh...
[ { "role": "user", "content": "In 2 years, Maxwell will be twice his sister's age. If his sister is now 2, how old is Maxwell now?\nLet's start by finding Maxwell's age in 2 years, when he will be twice his sister's age. If his sister is now 2, in 2 years she will be 2+2 = 4 years old. Therefore, Maxwell wil...
[ { "role": "user", "content": "It took Alice three months to save up to buy new shoes. If she saved 10 dollars the first month and 30 more each month, how much did she have saved by the end of the third month?\nAlice saved 10 dollars the first month and 30 more each month, so she saved 10+30 = 40 dollars in ...
[ { "role": "user", "content": "John releases 3 videos on his channel a day. Two of them are short 2 minute videos and 1 of them is 6 times as long. Assuming a 7-day week, how many minutes of video does he release per week?\nJohn releases 3 videos a day, so he releases 3 x 7 = 21 videos per week.\nTwo of th...
[ { "role": "user", "content": "Jerry is making cherry syrup. He needs 500 cherries per quart of syrup. It takes him 2 hours to pick 300 cherries and 3 hours to make the syrup. How long will it take him to make 9 quarts of syrup?\nTo make 1 quart of syrup, Jerry needs 500 cherries, so to make 9 quarts he will...
[ { "role": "user", "content": "The community leader of a certain town organized a cleaning day event where community members were to be involved in collecting trash inside the town. Out of 2000 community members involved in the cleaning process, 30% were adult men. If there were twice as many adult women as ...
[ { "role": "user", "content": "If 1 ounce of Dawn liquid soap can make 200,000 bubbles, and Dr. Bronner's liquid soap can make twice as many bubbles per ounce as Dawn liquid soap, then how many bubbles can be made from one half ounce of an equal mixture of Dawn and Dr. Bronner's liquid soaps?\nOne half ounce...
[ { "role": "user", "content": "Tony has $87. He needs to buy some cheese, which costs $7 a pound and a pound of beef that costs $5 a pound. After buying the beef and his cheese, he has $61 left. How many pounds of cheese did he buy?\nLet's say Tony bought x pounds of cheese.\nThe cost of x pounds of cheese i...
[ { "role": "user", "content": "A pair of dogs are barking back and forth at each other from across the street. The poodle barks twice for every one time the terrier barks. The terrier’s owner hushes it every second time it barks. She has to say “hush” six times before the dogs stopped barking. How many times...
[ { "role": "user", "content": "Jack collects all his neighbors' recycling and sorts out the cans and bottles to return for the deposit. He gets 10 cents per bottle and 5 cents per can. If he recycled 80 bottles and made $15, how many cans did he recycle?\nLet x be the number of cans Jack recycled.\nHe made 1...
[ { "role": "user", "content": "Ronald is rolling a die and won't stop rolling until the average of all his rolls is a 3. He rolls a 1, a 3, a 2, a 4, a 3, a 5, a 3, a 4, a 4 and a 2. What does he need to roll on the next roll to be able to stop?\nWe can start by finding the average of all his rolls so far:\n...
[ { "role": "user", "content": "Tabitha adds 1 serving of honey per cup of tea in the evening. She usually has 2 cups of tea before bed. She buys her honey in a 16-ounce container. If there are 6 servings of honey per ounce, how many nights will she be able to enjoy honey in her tea before bed?\nTabitha us...
[ { "role": "user", "content": "Jame is trying to learn to tear playing cards. He can tear 30 cards at a time. A new deck of cards has 55 cards if you include the jokers and blank cards. He tears cards 3 times a week. If he buys 18 decks how many weeks can he go?\nEach deck has 55 cards, so 18 decks have ...
[ { "role": "user", "content": "Bobby received his weekly paycheck today. Although his salary is $450 per week, his actual paycheck is reduced in size because there are some taxes, insurance payments, and fees removed from his pay before his employer writes the check. If the government removes 1/3 in federa...
[ { "role": "user", "content": "Lizzy's school choir has a mixture of 80 blonde and black-haired girls. Their teacher decides to add 10 more girls to the choir, who turns out to be blonde. If there were 30 blonde-haired girls in the choir initially, how many black-haired girls are present?\nInitially, there w...
[ { "role": "user", "content": "Pat is having a picnic with her family. She has 42 cookies. She also has 63 pieces of candy and 21 brownies. There are 7 people in her family. If each person gets the same number of each dessert, how much will each person get?\nThe total number of desserts is 42 + 63 + 21 = 126...
[ { "role": "user", "content": "Mikaela was repainting her bathroom. She bought 16 containers of paint to cover the four equally-sized walls. At the last minute, she decided to put tile on one wall in the bathroom and paint flowers on the ceiling with one container of paint instead. How many containers of pai...
[ { "role": "user", "content": "Milly is making feather boas for her dance team. Each flamingo has 20 tail feathers, and it's only safe to pluck 25% of their tail feathers at one time. If Milly needs to make 12 boas, and each boa has 200 feathers, how many flamingoes does she need to harvest?\nMilly can only ...
[ { "role": "user", "content": "A frog lays 800 eggs a year. 10 percent dry up, and 70 percent are eaten. 1/4 of the remaining eggs end up hatching, how many frogs hatch out of the 800?\n10 percent of 800 is 800 x 0.1 = 80 eggs that dry up.\n70 percent of 800 is 800 x 0.7 = 560 eggs that are eaten.\nThe tot...
[ { "role": "user", "content": "Jim is a maintenance worker at a pool. Every time someone jumps in the pool, they cause 400 ml of water to splash out and evaporate. Jim has to get everyone out of the pool, clean, and refill it when it gets below 80% full. If the pool holds 2000 L of water, how many times can ...
[ { "role": "user", "content": "There are 30 players on a football team. The coach has 8 liters of water. She pours 200 milliliters of water for every player so they can get hydrated. Unfortunately, there was a water spill and 250ml of water was spilled. How much water was left over?\nThe coach needs a total ...
[ { "role": "user", "content": "Levi and his brother were playing basketball. Levi had scored 8 times and his brother had scored 12 times. Levi was determined to beat his brother by at least 5 baskets. How many more times does Levi have to score in order to reach his goal if his brother scores another 3 times...
[ { "role": "user", "content": "Happy Cattle Ranch is home to 200 cows. Every year, the mother cows have enough calves that the number of cows the rancher owns rises by half the number of cows living on the ranch. If the rancher does not buy or sell any cows, how many cows will the rancher own on Happy Cattle...
[ { "role": "user", "content": "A local farm is famous for having lots of double yolks in their eggs. One carton of 12 eggs had five eggs with double yolks. How many yolks were in the whole carton?\nSince there were five eggs with double yolks, there were 5 x 2 = 10 double yolks in the carton.\nIn total, ther...
[ { "role": "user", "content": "Daisy is a poodle puppy who loves to play with her dog toys. She often loses them in various ways, and her owner needs to replace them. On Monday, Daisy played with 5 dog toys. On Tuesday, Daisy had 3 dog toys left after losing some, and her owner went to the store and got her ...
[ { "role": "user", "content": "Steve's new book sells 1,000,000 copies. He got an advance to pay for 100,000 copies. He gets $2 for each copy of the book sold. His agent takes 10% of that. How much money did he keep not counting the money from the advance?\nSteve sells 1,000,000 - 100,000 = 900,000 copies...
[ { "role": "user", "content": "Carlos and Diego are racing around the block. Carlos runs around the entire block in 3 minutes. Diego runs around half the block in 2.5 minutes and then is tripped by a dog and can't finish. Assuming he kept up the same speed the entire race, what would've been the average time...
[ { "role": "user", "content": "Jackie's favorite cosmetic company was offering free shipping when you spent $50.00. Jackie ordered her favorite shampoo and conditioner that each cost $10.00 a bottle and 3 bottles of lotion that cost $6.00 each. How much more money does Jackie need to spend to be eligible f...
[ { "role": "user", "content": "A man is returning home from work and trying to decide which route to take. His first route option includes 3 stoplights. This route will take him 10 minutes if all three lights are green, but each light that is red will add 3 minutes to the trip. The second route does not i...

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