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[ { "content": "Cary walks 3 miles round-trip to the grocery store, where he buys and eats a candy bar with 200 calories. If Cary burns 150 calories per mile walked, what's Cary's net calorie deficit (expressed as a positive number)?", "role": "user" }, { "content": "First find how many calories the w...
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[ { "content": "Big Joe is the tallest player on the basketball team. He is one foot taller than Ben, who is one foot taller than Larry, who is one foot taller than Frank, who is half a foot taller than Pepe. If Pepe is 4 feet six inches tall, how tall is Big Joe, in feet?", "role": "user" }, { "con...
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[ { "content": "Sally took 342 pens to her class of 44 students. If she gave 7 pens to each student, left half of the remainder in her locker, and took the rest home, how many did she take home?", "role": "user" }, { "content": "She gave 7 pens each to 44 students for a total of 7*44 = 308 pens\nThere...
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[ { "content": "There are 110 calories in a serving of cheese. Rick buys the large blocks that have 16 servings per block. If Rick has already eaten 5 servings of cheese, how many calories are remaining in the block?", "role": "user" }, { "content": "The block has 16 servings and he has eaten 5 serv...
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[ { "content": "Mark is buying asphalt to pave a new section of road. The road will be 2000 feet long and 20 feet wide. Each truckload of asphalt will cover 800 square feet of road. If each truckload costs $75, and there's a 20% sales tax, how much will Mark need to pay for asphalt?", "role": "user" }, { ...
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[ { "content": "Ibrahim wants to buy an MP3 player for 120 euros and a CD for 19 euros. He has 55 euros in savings. His father participates in his purchase by giving him 20 euros. How much money does Ibrahim lack?", "role": "user" }, { "content": "The total price of the purchases is 120 + 19 = 139 eur...
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[ { "content": "Stephanie is planning dinners to cook for the week and needs to figure out how much of each ingredient she should buy at the grocery store. She is making three recipes that call for lower sodium soy sauce as a main ingredient. One bottle of lower sodium soy sauce holds 16 ounces. There are 8 ounce...
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[ { "content": "After trick-or-treating, Brent dumped his candy on the table. He had received 5 Kit-Kat bars, three times that amount in Hershey kisses, 8 boxes of Nerds, and 11 lollipops. He also had 10 Baby Ruths and half that amount in Reese Peanut butter cups. After giving his little sister 5 lollipops, h...
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[ { "content": "Belinda can throw a ball at a speed of 20 feet/second. If the ball flies for 8 seconds before hitting the ground, and Belinda's border collie can run 5 feet/second, how many seconds will it take the border collie to catch up to the ball?", "role": "user" }, { "content": "First find the...
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[ { "content": "A group of hawks is called a kettle. It is breeding season for hawks. A group of ornithologists are tracking 6 kettles of hawks. Each kettle has an average of 15 pregnancies that yield 4 babies per batch. How many babies are expected this season if approximately 25% are lost?", "role": "user"...
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[ { "content": "Jake's neighbors hire him to mow their lawn and plant some flowers. Mowing the lawn takes 1 hour and pays $15. If Jake wants to make $20/hour working for the neighbors, and planting the flowers takes 2 hours, how much should Jake charge (in total, not per hour) for planting the flowers?", "rol...
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[ { "content": "Article: Here is an examination notice . Mrs. Dickson gave it to her students last week. To the students of Class 3 * Examinations start on January 22 and end on June 23. * The time for each of the subject is: English June 22 9:30 A.M.- 10:30 A.M. Math June 22 1...
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[ { "content": "Annie plants 3 pots of basil, 9 pots of rosemary, and 6 pots of thyme. Each basil plant has 4 leaves, each rosemary plant has 18 leaves, and each thyme plant has 30 leaves. How many leaves are there total?", "role": "user" }, { "content": "First find the number of basil leaves: 3 pots ...
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[ { "content": "Terry drives at a speed of 40 miles per hour. He drives daily forth and back from his home to his workplace which is 60 miles away from his home. How many hours does Terry spend driving from home to the workplace and then back?", "role": "user" }, { "content": "The miles that Terry dri...
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[ { "content": "Every hour Joanne has to collect the coins out of the fountain inside the mall. During the first hour, she collected 15 coins. For the next two hours, she collected 35 coins from the fountain. In the fourth hour, she collected 50 coins from the fountain but she gave 15 of them to her coworker so s...
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[ { "content": "Carmen is counting the cars that pass by her window. All the cars are either white, black, or red. She sees 50 trucks and 40 cars. Half the trucks are red, and another 20% are black. If she picks one car at random, what is the percentage chance it's a white truck, rounded to the nearest integer?",...
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[ { "content": "Karen is a dog groomer. Rottweilers take 20 minutes to groom, border collies take 10 minutes to groom, and chihuahuas take 45 minutes to groom because they ferociously resist. How many minutes will it take Karen to groom 6 Rottweilers, 9 border collies and 1 chihuahua?", "role": "user" }, ...
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[ { "content": "Mark has 30 candies, Peter has 25 candies, and John has 35 candies. They decided to combine their candies together and share them equally. How many candies will each one of them have?", "role": "user" }, { "content": "The total number of the candies is 30 + 25 + 35 = 90.\nWhen the cand...
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[ { "content": "Tina made a large pan of brownies and cut it into 24 pieces. She had one with lunch and dinner every day for 5 days. Her husband snagged one per day for 5 days to take to work. They shared 4 with dinner guests. How many brownies were left?", "role": "user" }, { "content": "Tina ate...
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[ { "content": "At Rosa's Rose Shop, a bouquet containing a dozen roses costs $\\$20$. If the price of a bouquet is directly proportional to the number of roses it contains, how many dollars will a bouquet of 39 roses cost?", "role": "user" }, { "content": "Let $c$ equal the cost of a bouquet of 39 ro...
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[ { "content": "Answer the following question: Article: In a New York street, a small truck hit a big tree. The truck was full of glasses and they were all broken now. The driver came out of the truck and looked at the broken glasses. He was very sad and people in the street felt sorry for him. Then an old man wa...
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[ { "content": "The population of Mojave was 4000 a decade ago. If the town's population has increased three times, and the population analysis firm predicts that it will increase by 40% after five years, how many people will be in Mojave in five years?", "role": "user" }, { "content": "Since the popu...
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[ { "content": "John's cow weighs 400 pounds. It increased its weight to 1.5 times its starting weight. He is able to sell the cow for $3 per pound. How much more is it worth after gaining the weight?", "role": "user" }, { "content": "The cow initially weighs 400*1.5=600 pounds\nSo it gained 600 - ...
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[ { "content": "A man drives 60 mph for 3 hours. How fast would he have to drive over the next 2 hours to get an average speed of 70 mph?", "role": "user" }, { "content": "To have an average speed of 70 mph over 5 hours he needs to travel 70*5=350 miles.\nHis first 3 hours at 60 mph got him 3*60=180 ...
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[ { "content": "Tara's taking a road trip for the weekend. She drives for two days, stopping to fill up her gas tank each time from empty to full when she needs it. She visits 4 different gas stations in total, with the price of gas being $3, $3.50, $4, and $4.50 respectively at each. If Tara's car has a 12-ga...
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[ { "content": "Daniel works at an electronics store, and he claims that the popularity of a toaster (measured in number of sales) is inversely proportional to its cost. If 12 customers buy a toaster that costs $\\$500$, according to Daniel's theory, how many customers would buy a toaster that costs $\\$750$?", ...
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[ { "content": "If Billy and Jenny each order a $20 steak along with a $5 drink, how much will Billy have to pay in tips if he wants to cover 80% of a 20% tip for the two of them?", "role": "user" }, { "content": "First, we need to determine the cost of the dinner for two. We start by adding the cost ...
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[ { "content": "Jenna is hemming her prom dress. The dress's hem is 3 feet long. Each stitch Jenna makes is 1/4 inch long. If Jenna makes 24 stitches per minute, how many minutes does it take Jenna to hem her dress?", "role": "user" }, { "content": "First find how many inches the hem is by multiplying...
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[ { "content": "Greta worked 40 hours and was paid $12 per hour. Her friend Lisa earned $15 per hour at her job. How many hours would Lisa have to work to equal Greta's earnings for 40 hours?", "role": "user" }, { "content": "For the 40 hours worked, Greta earned a total of 40 * 12 = $480.\nTo find ho...
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[ { "content": "Bob bought 2 show dogs for $250.00 each to breed as a side business. The female just had a litter of 6 puppies. If he sells each puppy for $350.00, what is his total profit?", "role": "user" }, { "content": "He bought 2 dogs for $250.00 each so they cost 2*250 = $500.00\nHe sells eac...
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[ { "content": "Find the distance between the foci of the ellipse\n\\[\\frac{x^2}{20} + \\frac{y^2}{4} = 7.\\]", "role": "user" }, { "content": "First, we divide both sides by 7, to get\n\\[\\frac{x^2}{140} + \\frac{y^2}{28} = 1.\\]Thus, $a^2 = 140$ and $b^2 = 28,$ so $c^2 = a^2 - b^2 = 140 - 28 = 112...
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[ { "content": "Lassie eats half of her bones on Saturday. On Sunday she received 10 more bones. She now has a total of 35 bones. How many bones did she start with before eating them on Saturday?", "role": "user" }, { "content": "35 bones at the end - 10 received = 25 on Sunday.\nLassie ate half, so m...
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[ { "content": "Louise is in a toy store. She already has 28 toys worth $10 each in her cart. On her way to the till she adds 20 teddy bears to the cart. If the $580 in Louise’s wallet is exactly enough to pay for all the toys, how much does each teddy bear cost?", "role": "user" }, { "content": "Init...
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[ { "content": "Oliver is trying to decide between two different sized boxes of macaroni and cheese. He wants to know which is the better value, so instead of just looking at the overall price, he looks at the price per ounce. The larger box is 30 ounces and the smaller box is 20 ounces. The larger box costs $4.8...
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[ { "content": "A total of 17 teams play in a single-elimination tournament. (A single-elimination tournament is one where once a team has lost, it is removed from the competition.) How many total games must be played before a winner can be declared, assuming there is no possibility of ties?", "role": "user...
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[ { "content": "Mr Julien's store has 400 marbles remaining after the previous day's sales. Twenty customers came into the store, and each bought 15 marbles. How many marbles remain in the store?", "role": "user" }, { "content": "If each of the 20 customers bought 15 marbles, then they bought 20*15 = ...
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[ { "content": "John repairs 5 cars. 3 of the cars take 40 minutes each to repair. The remaining ones take 50% longer each to repair. He makes $20 per hour repairing cars. How much money does he make?", "role": "user" }, { "content": "The 3 cars take 40*3=120 minutes to make\nHe repairs 5-3=2 more...
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[ { "content": "Gina is participating in a neighborhood clean-up filling bags with litter. She was able to collect two bags of litter herself. The rest of the neighborhood together collected 82 times as much as Gina did by herself. Each bag of litter weighs 4 pounds. How many pounds was all the litter they collec...
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[ { "content": "Karen is paddling her canoe up a river against the current. On a still pond, Karen can paddle 10 miles per hour. The river flows in the opposite direction at 4 miles per hour. If the river is 12 miles long, how many hours will it take Karen to paddle up it?", "role": "user" }, { "conte...
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[ { "content": "Aisha enjoys listening to music on her mp3 player. She starts with 500 songs on her mp3 player, then adds another 500 the week after that. She realizes her mp3 player has a large capacity for storing songs so she adds twice the amount she already had on her mp3 player. After a while, though, she d...
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[ { "content": "A captain steers his ship 100 miles north on the first day of their journey. On the second day, he sails to the east three times as far as the distance as he covered on the first day. On the third day, the ship travels further east for 110 more miles than the distance it covered on the second day....
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[ { "content": "Amelia has laundry to do. She has a load of whites that will take 72 minutes in the washing machine and 50 minutes in the dryer. She has a load of darks that will take 58 minutes in the washing machine and 65 minutes in the dryer. She has a load of colors that will take 45 minutes in the washer an...
41
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[ { "content": "It takes Jason 30 minutes to cut 1 lawn in his neighborhood. If he cuts 8 yards on both Saturday and Sunday, how many hours does he spend cutting grass?", "role": "user" }, { "content": "He cuts 8 yards on both Saturday and Sunday so that’s 2*8 = 16 yards\nIt takes him 30 minutes to c...
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[ { "content": "Stefan goes to a restaurant to eat dinner with his family. They order an appetizer that costs $10 and 4 entrees that are $20 each. If they tip 20% of the total for the waiter, what is the total amount of money that they spend at the restaurant?", "role": "user" }, { "content": "The tot...
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[ { "content": "A YouTube video is 100 hours long. Lila decides to watch it at two times the average speed. Roger, her friend, also watch the same video at the average speed. If they both watched six of the same videos, what's the total number of hours they watched?", "role": "user" }, { "content": "W...
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[ { "content": "Missy had a giant piggy bank in her bedroom. Every day she would search the house for change to put in her bank. After 4 years, the bank was opened and it contained $450 in change. If the second, third, and fourth-year she doubled the amount of money she put in the bank from the amount she had ...
45
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[ { "content": "Cape May has 8 more than twice as many sharks as Daytona Beach. If Daytona Beach has 12 sharks, how many sharks are there in Cape May?", "role": "user" }, { "content": "If Daytona Beach has 12 sharks, then twice that number is 12*2=24\nCape May has 8 more than twice as many sharks as D...
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[ { "content": "Mark buys a Magic card for $100, which then triples in value. How much profit would he make selling it?", "role": "user" }, { "content": "It went up in value to 100*3=$300\nSo he gained 300-100=$200\nThe answer is 200", "role": "assistant" } ]
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[ { "content": "Jason is making a salad. The lettuce has 30 calories, the cucumber has 80 calories, and the 12 croutons have 20 calories each. How many calories are in the salad?", "role": "user" }, { "content": "The 12 croutons have 20 calories each so that’s 12*20 = 240 calories\nThe croutons have 2...
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[ { "content": "The government gives the bottom 20% of people a $2000 stimulus. They have found that this kind of stimulus returns 5 times as much money to the government, in terms of tax revenue, as it cost. The city has 1000 people in it. What was the government profit from this project?", "role": "user"...
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[ { "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?", "role": "user" }, { "content": "He paid back the advanc...
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[ { "content": "Calen originally had 5 more pencils than does Caleb, and Caleb has 3 less than twice as many pencils as does Candy. If Calen lost 10 pencils, which left him with 10 pencils, then how many pencils does Candy have?", "role": "user" }, { "content": "If Calen lost 10 pencils, which left h...
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[ { "content": "Tom is binge-watching a show on Netflix. The show has 90 episodes, each one of which is 20 minutes long because there are no commercials. If Tom can spend two hours a day watching the show, how many days will it take him to finish watching the show?", "role": "user" }, { "content": "Ea...
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[ { "content": "Joanne makes $16.00 working at her main job for 8 hours a day. She has a part-time job, working an extra 2 hours a day where she makes $13.50 an hour. How much money does she make if she works this schedule 5 days a week?", "role": "user" }, { "content": "She makes $16.00 an hour for...
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[ { "content": "Mary is building a mosaic for her school cafeteria's wall. It will be 10 feet tall and 15 feet long. Each tile she uses is 1 inch square. How many tiles will she need?", "role": "user" }, { "content": "First convert the length to inches: 15 feet * 12 inches/foot = 180 inches\nThen conv...
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[ { "content": "Ben's new car cost twice as much as his old car. He sold his old car for $1800 and used that to pay off some of the cost of his new car. He still owes another $2000 on his new car. How much did his old car cost, in dollars?", "role": "user" }, { "content": "His new car costs 1800+2000=...
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[ { "content": "Irene shares half of a small apple with her dog every day. A small apple weighs about 1/4 of a pound. She can currently buy apples for $2.00 a pound. How much will she spend so that she and her dog have enough apples to last for 2 weeks?", "role": "user" }, { "content": "There are 7...
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[ { "content": "Part of Stella's job is to restock the toilet paper in each of the 6 bathrooms at the bed and breakfast. She stocks 1 roll a day, every day of the week. She buys the toilet paper in bulk, and each pack contains 1 dozen rolls. After 4 weeks, how many packs of toilet paper dozen Stella buy?", ...
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[ { "content": "Mike began to train to play basketball every day for a tournament. One day he plays a maximum of 2 hours. After a week of training, he increased the maximum time to 3 hours. How many hours did Mike train during the first two weeks?", "role": "user" }, { "content": "One week is 7 days, ...
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[ { "content": "Gretchen read that you should spend 10 minutes walking for every 90 minutes you spend sitting. If Gretchen spends 6 hours working at her desk, how long will she spend walking?", "role": "user" }, { "content": "First find the total number of minutes Gretchen spends sitting at her desk: ...
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[ { "content": "Melany has to fence a 5000 feet square field with wire mesh. If one foot of wire mesh is sold at $30, and she had $120000, how many feet of the field will not be fenced?", "role": "user" }, { "content": "Since one-foot wire mesh is sold at $30, with $120000, Melany can buy $120000/$30 ...
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[ { "content": "The white rabbit can hop 15 meters in one minute. The brown rabbit hops 12 meters per minute. What is the total distance the two rabbits will hop in 5 minutes?", "role": "user" }, { "content": "White rabbit + brown rabbit = 15 + 12 = 27\n5 minutes * 27 = 135 meters\nThe two rabbits wil...
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[ { "content": "Mia has 4 times as many shells as David. Ava has 20 more shells than Mia. Alice has half the number of shells Ava has. If David has 15 shells, what the total number of conch shells they all have?", "role": "user" }, { "content": "If David has 15 shells, then Mia has 4 *15=60 shells.\nA...
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[ { "content": "Trevor's older brother was twice his age 20 years ago. How old was Trevor a decade ago if his brother is now 32 years old?", "role": "user" }, { "content": "If Trevor's brother is 32 years old today then 20 years ago he was = 32-20 = 12 years old\nIf Trevor's brother was 12 years old a...
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[ { "content": "Stephen rides his bicycle to church. During the first third of his trip, he travels at a speed of 16 miles per hour. During the second third of his trip, riding uphill, he travels a speed of 12 miles per hour. During the last third of his trip, he rides downhill at a speed of 20 miles per hour. ...
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[ { "content": "Seven parrots and some crows are perched on a tree branch. There was a noise and the same number of parrots and crows flew away. If only 2 parrots and 1 crow are left on the tree branch now, how many birds were perched on the branch to begin with?", "role": "user" }, { "content": "The ...
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[ { "content": "You are an AI assistant that follows instruction extremely well. Help as much as you can.", "role": "system" }, { "content": "Possible answers:\n * Yes\n * No\n\nTitle: Decent shampoo, strong smell but supply lasts a long time. Review: I bought this 3 pack back in 2008 and I still have...
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[ { "content": "Grant decided to sell his baseball gear since he was now playing football. He sold his baseball cards for $25. He got $10 for his baseball bat and agreed to sell his $30 baseball glove at 20% off. He also sold both pair of his baseball cleats for $10 each. How much money did Grant make?", ...
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[ { "content": "Tim sleeps 6 hours per day for 5 days a week and 10 hours a day for the other 2. How much total sleep does he get?", "role": "user" }, { "content": "He gets 6*5=30 hours of sleep on 5 days\nHe gets 10*2=20 hours the other days\nSo he got 30+20=50 hours\nThe answer is 50", "role": ...
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[ { "content": "Olaf has an aquarium. He has fish in 3 different colors: orange, green, and blue. Blue fish make up half of all the fish in the aquarium. There are 15 fewer orange fish than blue fish. How many green fish are there when the total number of fish in the aquarium is 80?", "role": "user" }, { ...
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[ { "content": "Samson derives utility according the relation $$\\text{Utility} = \\text{hours of math done} \\times \\text{hours of frisbee played}.$$On Monday he plays $t$ hours of frisbee and spends $8 - t$ hours doing math. On Tuesday, he ends up getting the same amount of utility as Monday while spending $...
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[ { "content": "A bag of jellybeans contains 8 black beans and 2 more green beans. It also contains 1 less orange bean than green beans. How many jellybeans are there in the bag?", "role": "user" }, { "content": "There are 8 + 2 = 10 green beans.\nThere are 10 -1 = 9 orange beans.\nThere are 8 black +...
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[ { "content": "А Senior Center is hosting a bingo night. $2,400 in prize money will be given away. The first winner of the night will receive a third of the money. The next ten winners will each receive a 10th of the remaining amount. How many dollars will each of the next ten winners receive?", "role": "use...
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[ { "content": "Harry is ordering pizza. A large pizza is 14. It costs $2 per topping. He orders 2 large pizzas, each with 3 toppings. He then adds a 25% tip. What is the total cost?", "role": "user" }, { "content": "The toppings on each pizza are $6 because 3 x 2 = 6\nThe total for each pizza is $20 ...
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[ { "content": "Florida is starting a promotion where every car that arrives gets one orange per passenger. A family of 4 arrives and gets their oranges. They had planned to stop for a snack later where they would spend $15 in total, but now that they have the oranges they don't have to buy them at the stop. When...
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[ { "content": "Harris feeds his dog 1 large organic carrot over the course of 1 day. There are 5 carrots in a 1 pound bag and each bag costs $2.00. In one year, how much will Harris spend on carrots?", "role": "user" }, { "content": "His dog gets 1 carrot a day and there are 365 days in a year so t...
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[ { "content": "For the gala luncheon planning committee, Margaret wants to serve chicken salad sandwiches using mini croissants. She wants there to be enough food that each person on the committee can have 2 sandwiches each. Her bakery offers 12 minis croissants for $8.00. There are 24 people on the committee...
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[ { "content": "Matthew drinks 4 glasses of water per day. Each glass is 5 ounces. He decides to just buy a 35 ounces water bottle. How many times will he fill it each week?", "role": "user" }, { "content": "He drinks 20 ounces of water a day because 4 x 5 = 20\nThe drinks 140 ounces in a week because...
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[ { "content": "Mo is buying valentine's day cards for the class. There are 30 students and he wants to give a Valentine to 60% of them. They cost $2 each. If he has $40, what percentage of his money will he spend on Valentine?", "role": "user" }, { "content": "He needs to buy 18 valentine's day cards...
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[ { "content": "A cattle breeder owns 52 dairy cows. Each cow gives 1000 oz of milk per day. Calculate the amount of milk produced per week by the cows.", "role": "user" }, { "content": "Per day, the amount of milk produced is 1000*52 = 52000 oz.\nPer week, the amount of milk produced is 52000*7 = 364...
79
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[ { "content": "Paul earns $12.50 for each hour that he works. He then has to pay 20% for taxes and fees. After working 40 hours, Paul receives his paycheck. If he spends 15% of his paycheck on gummy bears, how much, in dollars, does he have left?", "role": "user" }, { "content": "Paul earns 12.50*40=...
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[ { "content": "Mike has earned a total of $160 in wages this week. He received the wages for his first job, then later received the wages from his second job where he works 12 hours a week. If his second job pays $9 per hour then how much money, in dollars, did Mike receive from his first job?", "role": "use...
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[ { "content": "Mike has earned a total of $160 in wages this week. He received the wages for his first job, then later received the wages from his second job where he works 12 hours a week. If his second job pays $9 per hour then how much money, in dollars, did Mike receive from his first job?", "role": "use...
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[ { "content": "James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?", "role": "user" }, { "content": "He gains 120*.2=24 kg in muscles\nSo he gains 24/4=6 kg of fat\nThat means he gains a total of 24+6=30 k...
83
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[ { "content": "The teacher divided the students into four groups. One group had 5 students, another 8 students, and the third 7 students. If there were 24 total students, how many students were in the fourth group?", "role": "user" }, { "content": "There are 5+8+7=20 students in the first three group...
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[ { "content": "Identify the logical fallacy used in the given statement, if any.\nEating chocolate is bad for your health because my friend got sick after eating it.", "role": "user" }, { "content": "Post hoc ergo propter hoc", "role": "assistant" } ]
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[ { "content": "Selena reads a book with 400 pages. Harry reads a book with 20 fewer than half the number of pages Selena's book has. How many pages are in the book of Harry?", "role": "user" }, { "content": "Half the number of pages of Selena is 400/2 = 200.\nTherefore, Harry's book has 200 - 20 = 18...
86
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[ { "content": "Sam has 18 cows. 5 more than half the cows are black. How many cows are not black?", "role": "user" }, { "content": "Half of the cows: 18/2=9\nBlack cows: 5+9=14\n18-14=4 cows\nThe answer is 4", "role": "assistant" } ]
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[ { "content": "Find all the solutions to\n\\[\\sqrt[3]{2 - x} + \\sqrt{x - 1} = 1.\\]Enter all the solutions, separated by commas.", "role": "user" }, { "content": "Let $y = \\sqrt[3]{2 - x}.$ Then $y^3 = 2 - x,$ so $x = 2 - y^3.$ Then\n\\[\\sqrt{x - 1} = \\sqrt{1 - y^3},\\]so we can write the give...
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[ { "content": "Out of the following options, which one is the best strategy to invest your money for the long-term? (a) Real estate (b) Cryptocurrency (c) Stock market (d) Savings account", "role": "user" }, { "content": "(c) Stock market", "role": "assistant" } ]
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[ { "content": "Tom weighs 150 kg. He manages to hold 1.5 times his weight in each hand while wearing a weight vest weighing half his weight. How much total weight was he moving with?", "role": "user" }, { "content": "He was carrying 1.5*150=225 kg in each hand\nSo he had 225*2=450 kg in his hands\n...
90
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[ { "content": "John is budgeting for his marriage. The venue cost $10,000. It cost $500 for each guest, and John wants 50 guests while his wife wants 60% more than that. How much would the wedding cost if John's wife gets her way?", "role": "user" }, { "content": "The bride wanted 50*.6=30 more guest...
91
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[ { "content": "Carla needs to bring water to her animals. Each horse needs twice as much water as a pig, and the chickens drink from one tank that needs 30 gallons. How many gallons of water does Carla need to bring if she has 8 pigs and 10 horses and each pig needs 3 gallons of water?", "role": "user" }, ...
92
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[ { "content": "Graeme is weighing cookies to see how many he can fit in his box. His box can only hold 40 pounds of cookies. If each cookie weighs 2 ounces, how many cookies can he fit in the box?", "role": "user" }, { "content": "First find how many cookies are in a pound. 16 ounces per pound / 2 ou...
93
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[ { "content": "Alex is on a cross-country bike trip. After starting this morning, he manages an average speed over flat ground of about 20 miles per hour. Four and a half hours later, the road started to incline upwards enough that he could only manage 12 miles per hour. Two and a half hours later, though, the r...
94
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[ { "content": "A one-year subscription to a newspaper is offered with a 45% discount. How much does the discounted subscription cost if a subscription normally costs $80?", "role": "user" }, { "content": "We calculate first the discount: 80 * 45 / 100 = $36\nSo, the discounted subscription amounts to...
95
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[ { "content": "Diana is twice as old as Grace is today. If Grace turned 3 a year ago, how old is Diana today?", "role": "user" }, { "content": "Today, Grace is 3 + 1 = 4 years old.\nSo, Diana is 4*2 = 8 years old today.\nThe answer is 8", "role": "assistant" } ]
96
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[ { "content": "At an auction event, the price of a TV, whose cost was $500, increased by 2/5 times its initial price. The price of a phone, which was $400, also increased by 40% from its original price. If Bethany had taken both items to the auction, calculate the total amount she received for the items after th...
97
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[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nJohn buys 3 reels of 100m fishing line. He cuts it into 10m sections. How many sections does he get?", "role": "user" }, { "content": "Step 1:...
98
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[ { "content": "Issac has to buy pens and pencils for the upcoming school year. Issac buys 108 writing utensils total. He buys 12 more than 5 times the number of pencils than pens. How many pens did Issac buy?", "role": "user" }, { "content": "Let x be the number of pens bought\nHe bought 12+5x pencil...
99
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