conversations listlengths 2 2 |
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[
{
"from": "human",
"value": "Viviana possesses five more chocolate chips than Susana, and Susana has 3/4 the amount of vanilla chips compared to Viviana. If Viviana has 20 vanilla chips and Susana has 25 chocolate chips, what is the total number of chips they have combined?"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Casey is pumping water out of her well. She can pump 3 gallons a minute. She has 4 rows of 15 corn plants each, and each plant needs half a gallon of water. She also has 10 pigs, which each need 4 gallons of water, and X ducks that each need a quarter of a gallon of water. How m... |
[
{
"from": "human",
"value": "What value of $n$ makes the seven-digit number $854n526$ divisible by $11$?"
},
{
"from": "gpt",
"value": "To determine the value of \\( n \\) that makes the seven-digit number \\( 854n526 \\) divisible by \\( 11 \\), we can use the divisibility rule for \\( 11 \\). ... |
[
{
"from": "human",
"value": "Billy has four horses. Each one eats X pounds of oats, twice a day. He needs 96 pounds of oats to feed his horses for 3 days. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "To solve this problem, we need to determine the value of X, which... |
[
{
"from": "human",
"value": "What will be the area of the rectangle at Stage 6, in square inches, if a 3'' by 3'' square is added at each consecutive stage?"
},
{
"from": "gpt",
"value": "At Stage 1, there is a 3\" by 3\" square, which has an area of: \n\n\\[ \\text{Area} = 3 \\times 3 = 9 \\, \... |
[
{
"from": "human",
"value": "Chris has half as many cookies as Kenny. Glenn has four times as many cookies as Kenny. The three boys have 33 cookies, if Glenn has X cookies. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "To solve this problem, we need to set up equati... |
[
{
"from": "human",
"value": "Johnson owns a hectare cornfield that can yield 80 corn every two months, while his neighbor owns a two-hectare cornfield and each hectare can yield twice the amount as Johnson. How much corn can they harvest altogether after X months? If we know the answer to the above question... |
[
{
"from": "human",
"value": "If John plays at a speed of 200 beats per minute and practices for 2 hours each day over a period of 3 days, how many beats will he have played in total?"
},
{
"from": "gpt",
"value": "1. First, determine how many minutes John practices each day.\n - Since he pract... |
[
{
"from": "human",
"value": "If Noah's age is currently twice that of Joe's and Joe is 6 years old, how old will Noah be in 10 years?"
},
{
"from": "gpt",
"value": "1. Joe's current age is 6 years old.\n2. Since Noah's age is currently twice that of Joe's, Noah's current age is: \n Noah's age ... |
[
{
"from": "human",
"value": "A man decides to try and do everything off his bucket list while he is still young and fit enough to finish it all. One of his goals was to climb the seven summits. He realizes first he has to get in shape to do it and it takes him 2 years of working out to get healthy enough ... |
[
{
"from": "human",
"value": "Mark is a lawyer who works at the county courthouse every day. It takes him X minutes to find parking and 3 minutes to walk into the courthouse. 2 days of the week it takes him 30 minutes to get through the metal detector and the other 3 days are less crowded so he gets through ... |
[
{
"from": "human",
"value": "Carly swims 3 hours daily for 4 days a week focusing on her butterfly stroke, and practices her backstroke for 2 hours daily over 6 days a week. If we consider a month with 4 weeks, what is the total amount of time she dedicates to swimming practice?"
},
{
"from": "gpt",... |
[
{
"from": "human",
"value": "X prime numbers are randomly selected without replacement from the first ten prime numbers. What is the probability that the sum of the four selected numbers is odd? Express your answer as a common fraction. If we know the answer to the above question is 0.4, what is the value o... |
[
{
"from": "human",
"value": "A chocolate cake needs 3 eggs per cake. Cheesecake requires X eggs for each cheesecake. 57 more eggs are needed for 9 cheesecakes than are needed for 5 chocolate cakes. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "To determine the value... |
[
{
"from": "human",
"value": "Tiffany is building a fence around a rectangular tennis court using exactly 300 feet of fencing, which must enclose all four sides. According to regulations, the length must be at least 80 feet and the width at least 40 feet. Aiming to maximize the enclosed area for benches and ... |
[
{
"from": "human",
"value": "Dolly wants to ride the Ferris wheel twice, the roller coaster three times, and the log ride seven times. The Ferris wheel costs X tickets, the roller coaster costs 5 tickets and the log ride costs 1 ticket. Dolly has 20 tickets. How many more tickets should Dolly buy? If we kno... |
[
{
"from": "human",
"value": "Tim's website got X visitors a day for the first 6 days and then on the last day of the week it got twice as many visitors as every other day combined. He made $18 that week at a rate of $.01 per visit. What is the value of the unknown variable X?"
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Teresa scored 70 marks in science, X in music, 85 in social studies, and the physics exam, which was the hardest test that Teresa had ever taken in her entire life, she scored half as many marks as she scored in music. The total marks Teresa scored in all the subjects is 275. Wh... |
[
{
"from": "human",
"value": "What is the volume in cubic inches of a right, rectangular prism with side, front and bottom faces having an area 15 square inches, 10 square inches and X square inches, respectively? If we know the answer to the above question is 30, what is the value of unknown variable X?"
... |
[
{
"from": "human",
"value": "In a bowl containing 285 sweets, if there are 49 red sweets and 59 green sweets, how many sweets are neither red nor green?"
},
{
"from": "gpt",
"value": "First, we need to find the total number of sweets that are either red or green. \n\n1. Count the number of red s... |
[
{
"from": "human",
"value": "Oliver is inviting 4 friends to a party at the arcade, where game tokens are available at a rate of 30 tokens for $1. Since each game requires 2 tokens to play, and Oliver wants each of his friends to play 60 games, what will be the total cost? "
},
{
"from": "gpt",
... |
[
{
"from": "human",
"value": "Malcolm is employed at a company that typically packs 40 apples into each box, producing 50 complete boxes daily. During one week, everything operated as usual. However, in the following week, they packed 500 fewer apples each day. What is the total number of apples packed over ... |
[
{
"from": "human",
"value": "In 10 years, Terry will be 4 times the age that Nora is currently. If Nora is currently X years old, how old is Terry now? If we know the answer to the above question is 30, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "To solve this problem... |
[
{
"from": "human",
"value": "A desert garden’s sprinkler system runs twice a day during the cool morning and evening hours. It waters the garden with X liters of water in the morning and six liters in the evening. It takes the sprinkler system 5 days to use 50 liters of water. What is the value of the unkno... |
[
{
"from": "human",
"value": "Grayson drives a motorboat for 1 hour at 25 mph and then X hours for 20 mph. Rudy rows in his rowboat for 3 hours at 10 mph. How much farther, in miles, does Grayson go in his motorboat compared to Rudy? If we know the answer to the above question is 5, what is the value of unkn... |
[
{
"from": "human",
"value": "After doing his homework for 150 minutes, Matt devoted 30% of his time to math and 40% to science. What was the amount of time he spent on homework for other subjects?"
},
{
"from": "gpt",
"value": "First, we find out how much time Matt spent on math homework. Since ... |
[
{
"from": "human",
"value": "Jasmine wishes to purchase some trading cards. She has $7.50 and the cards each cost $0.85, tax included. What is the most number of X she can buy? If we know the answer to the above question is 8, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value"... |
[
{
"from": "human",
"value": "What is the average number of carnations per bouquet if Trevor bought three bouquets containing 9, 14, and 13 carnations, respectively?"
},
{
"from": "gpt",
"value": "To calculate the average number of carnations per bouquet, we need to follow these steps:\n\n1. **To... |
[
{
"from": "human",
"value": "Marly is making soup. He adds 2 quarts of milk and three times as much chicken stock to 1 quart of pureed vegetables. Then he divides the soup into bags that can hold X quarts each. How many bags does he need? If we know the answer to the above question is 3, what is the value o... |
[
{
"from": "human",
"value": "John reels in 3 crab baskets a week. Each basket holds X crabs. He collects crabs twice a week. Each crab sells for $3. He makes 72 money. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "To solve this problem, we need to set up the equatio... |
[
{
"from": "human",
"value": "A whole pizza was cut into X slices. Angeli and Marlon ate 3/2 slices each. There are 5 slices of pizza left. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "To solve this problem, we need to determine the total number of slices of pizza, ... |
[
{
"from": "human",
"value": "The director of a marching band wishes to place the members into a formation that includes all of them and has no unfilled positions. If they are arranged in a square formation, there are X members left over. The director realizes that if he arranges the group in a formation wit... |
[
{
"from": "human",
"value": "Erin is watching a TV mini series of Pride and Prejudice. There are X episodes that are each 50 minutes long. If Erin watches all of the episodes in one sitting, one after the other with no breaks, she will spend 5 hours watching the series. What is the value of the unknown vari... |
[
{
"from": "human",
"value": "Miss Davis gave 15 popsicle sticks to each of the 10 groups in her class. How many sticks does she have left if she had X popsicle sticks? If we know the answer to the above question is 20, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "To so... |
[
{
"from": "human",
"value": "How can you express \\( \\frac{31}{2 \\cdot 5^6} \\) as a terminating decimal?"
},
{
"from": "gpt",
"value": "To express \\( \\frac{31}{2 \\cdot 5^6} \\) as a terminating decimal, we can follow these steps:\n\n1. **Identify the Denominator**: The denominator is given... |
[
{
"from": "human",
"value": "Selina is selling her used clothing to a second-hand shop. The store offers $5 for each pair of pants, $3 for each pair of shorts, and $4 for each shirt. She sells 3 pairs of pants and 5 pairs of shorts, along with an unknown number of shirts. After receiving her payment, she bu... |
[
{
"from": "human",
"value": "John manages to run 15 mph for his whole 5-mile race. The next fastest guy ran the race in X minutes. How many minutes did he win the race by? If we know the answer to the above question is 3, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "... |
[
{
"from": "human",
"value": "By mid-May, the river in Moreland measures five feet in depth. By mid-June, the depth increases to 10 feet more than it was in mid-May. By mid-July, the river's depth reaches three times that of mid-June. What is the river's depth by mid-July?"
},
{
"from": "gpt",
"v... |
[
{
"from": "human",
"value": "On Sunday Alice bought 4 pints of strawberry ice cream. The next day she went back and bought X times that number of pints. On Tuesday she bought one-third of the number of pints she bought the day before. On Wednesday she returned half of the pints she bought the day before bec... |
[
{
"from": "human",
"value": "A train takes X hours to reach a destination at a speed of 50 miles per hour. It would take 2 hours if it traveled at 100 miles per hour. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "To solve this problem, we need to establish a relatio... |
[
{
"from": "human",
"value": "Daragh had 20 stuffed bears. She took out her favorite X bears and then equally divided the other bears among her 3 sisters. Daragh's youngest sister, Eden, already had 10 stuffed bears. How many stuffed bears does Eden have now? If we know the answer to the above question is 14... |
[
{
"from": "human",
"value": "Let r, s, and t be the roots of the equation x^3 - X + 18x - 7 = 0. Find the value of (1+r)(1+s)(1+t). If we know the answer to the above question is 46, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "To find the value of (1+r)(1+s)(1+t) in t... |
[
{
"from": "human",
"value": "Marco loves trading cards. He has a total of X cards on hand, and a fourth of them are duplicates. Marco decides to trade one-fifth of these duplicates for completely new cards to his friend Josh. How many new cards did Marco get? If we know the answer to the above question is 2... |
[
{
"from": "human",
"value": "Amanda needs 12 more marbles to have twice as many marbles as Katrina, and Mabel has X times as many marbles as Katrina. If Mabel has 85 marbles, how many more marbles does Mabel have than Amanda? If we know the answer to the above question is 63, what is the value of unknown va... |
[
{
"from": "human",
"value": "In five baskets, the average number of fruits per basket is 25. Given that basket A has 15 apples, basket B contains 30 mangoes, basket C has 20 peaches, basket D includes 25 pears, and basket E contains an unknown amount of bananas, how many bananas are there in basket E?"
},... |
[
{
"from": "human",
"value": "Jeremy buys X watermelons. He eats 3 watermelons per week. Each week he gives 2 to his dad. The watermelons will last 6 weeks. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "To solve this problem, we need to determine the value of X, whic... |
[
{
"from": "human",
"value": "Marcy's grade is electing their class president. Marcy got three times as many votes as Barry, who got twice as many as 3 more than the number of votes Joey got. Marcy got 66 votes. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "To solve ... |
[
{
"from": "human",
"value": "Fern is checking IDs to get into an R-rated movie. She denied 20% of the 120 kids from Riverside High, X of the 90 kids from West Side High, and half the 50 kids from Mountaintop High. How many kids got into the movie? If we know the answer to the above question is 148, what is ... |
[
{
"from": "human",
"value": "Rosie can make X pies out of nine apples. She can make 6 pies out of twenty-seven apples. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "To solve this problem, we need to determine the value of X, which represents the number of pies Rosie... |
[
{
"from": "human",
"value": "Lara was 9 years old 7 years ago. How old will she be X years from now? If we know the answer to the above question is 26, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "To solve this problem, we first need to determine Lara's current age bas... |
[
{
"from": "human",
"value": "The long jump finals contained four national champions competing against one another. The first competitor jumped a distance of X feet. The second competitor jumped one foot farther than the first competitor. The third competitor jumped two feet shorter than the third competi... |
[
{
"from": "human",
"value": "Mary just held tryouts for the high school band. 80% of the X flutes got in, half the 30 clarinets got in, 1/3 of the 60 trumpets got in, and 1/10th of the 20 pianists got in. There are 53 people in the band total. What is the value of the unknown variable X?"
},
{
"from... |
[
{
"from": "human",
"value": "Haleigh decides that instead of throwing away old candles, she can use the last bit of wax combined together to make new candles. Each candle has 10% of it's original wax left. She can make 3 X ounce candles if she has five 20 oz candles, five 5 ounce candles, and twenty-five 1 ... |
[
{
"from": "human",
"value": "Arthur has 3 dogs. They eat an average of X pounds of food a week. One dog eats 13 pounds a week. The second eats double this. How much does the third dog eat a week? If we know the answer to the above question is 6, what is the value of unknown variable X?"
},
{
"from":... |
[
{
"from": "human",
"value": "What is the count of integers that lie in the interval between \\( \\sqrt{7} \\) and \\( \\sqrt{77} \\) on a number line?"
},
{
"from": "gpt",
"value": "To find the count of integers that lie in the interval between \\( \\sqrt{7} \\) and \\( \\sqrt{77} \\), we first ... |
[
{
"from": "human",
"value": "If Kylie has 34 stamps in her collection and her friend Nelly has 44 stamps more than Kylie, what is the total number of stamps that Kylie and Nelly have combined?"
},
{
"from": "gpt",
"value": "Kylie has 34 stamps in her collection. To find out how many stamps Nelly... |
[
{
"from": "human",
"value": "Jesse and Mia are competing in a week long race. They have one week to run 30 miles. On the first three days Jesse averages (2/3) of a mile. On day four she runs 10 miles. Mia averages 3 miles a day over the first 4 days. The average of their average that they have to run over X... |
[
{
"from": "human",
"value": "Maisy has been offered a new job and now has the option of continuing to work at her current job or take the new job. Her current job is X hours a week with a wage of $10 per hour. The new job is offering 4 hours a week with a wage of $15 per hour with an additional bonus of $35... |
[
{
"from": "human",
"value": "Mr. Smith had 32 markers in his classroom. He buys new boxes of markers that have 9 markers in each box. Now, he has X markers. Mr. Smith bought 6 new boxes. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "To solve this problem, we need to... |
[
{
"from": "human",
"value": "In a gathering of 120 attendees at the party, one-third are men and half are women. How many children were present at the party?"
},
{
"from": "gpt",
"value": "1. First, we find the number of men at the party. Since one-third of the attendees are men:\n \n Number... |
[
{
"from": "human",
"value": "Olaf is sailing across the ocean with 25 men, including himself. Each man requires 1/2 gallon of water per day. The boat can cover 200 miles in a day, and he has to travel a total of 4,000 miles. How many gallons of water will he need for the journey?"
},
{
"from": "gpt"... |
[
{
"from": "human",
"value": "Claire has X flowers in her garden. One hundred twenty are tulips, and the rest are roses. Eighty of the roses are white, while the rest are red. Each red rose is worth $0.75. Claire will earn 75 if she can sell 1/2 of the total number of red roses. What is the value of the unkn... |
[
{
"from": "human",
"value": "Carl is hosting an open house for his new business. He knows 50 people will show up and hopes that another X people will randomly show up. He’s created 10 extravagant gift bags for the first 10 people who visit his shop. He’s made average gift bags for 20 people but needs to ... |
[
{
"from": "human",
"value": "What is the value of $54.54$ (with the digits 54 repeating) when rounded to the nearest hundredth?"
},
{
"from": "gpt",
"value": "To round the number 54.54 (with 54 repeating, represented as 54.545454...) to the nearest hundredth, we first need to identify the digits... |
[
{
"from": "human",
"value": " A car can travel 20 miles in X minutes if it travels \\( \\frac{3}{4} \\) as fast as a train going 80 miles per hour. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "To solve this problem, we first need to determine the speed of the car i... |
[
{
"from": "human",
"value": "If Ali started with 800 books in his room and sold 60 on Monday, 10 on Tuesday, 20 on Wednesday, 44 on Thursday, and 66 on Friday, how many books does he have remaining that were not sold?"
},
{
"from": "gpt",
"value": "Let's calculate the total number of books Ali s... |
[
{
"from": "human",
"value": "If Hermione, Luna, and Celestia collectively own 83 spelling badges, and Hermione has 14 badges while Luna has 17, how many spelling badges does Celestia possess?"
},
{
"from": "gpt",
"value": "To find out how many spelling badges Celestia possesses, we can start by ... |
[
{
"from": "human",
"value": "Tom and Devin have been teaching for a total of 70 years. Devin has been teaching for X less than half the number of years that Tom has. How many years has Tom been teaching? If we know the answer to the above question is 50, what is the value of unknown variable X?"
},
{
... |
[
{
"from": "human",
"value": "My dog was born when I was X years old. Two years from now, my dog will turn 4 years old. You are now 17 years old. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "To solve the problem, we need to find the value of X, which represents how ... |
[
{
"from": "human",
"value": "Sarah uses 1 ounce of shampoo, and X as much conditioner as shampoo daily. In two weeks, what is the total volume of shampoo and conditioner, in ounces, that Sarah will use? If we know the answer to the above question is 21, what is the value of unknown variable X?"
},
{
... |
[
{
"from": "human",
"value": "Carrie and her mom go to the mall to buy new clothes for school. Carrie buys 4 shirts, 2 pairs of pants, and X jackets. Each shirt costs $8. Each pair of pants costs $18. Each jacket costs $60. If Carrie’s mom pays for half of the total cost of all the clothes, how much does Car... |
[
{
"from": "human",
"value": "Bethany is working at the front desk at Joe’s Gym. There were some people lifting weights when she started her shift. Then 5 more people came in and started running on the treadmill and 2 people left. There are now X people in the gym. How many people were lifting weights at the... |
[
{
"from": "human",
"value": "John builds a toy bridge to support various weights. It needs to support 6 cans of soda that have 12 ounces of soda. The cans weigh 2 ounces empty. He then also adds X more empty cans. How much weight must the bridge hold up? If we know the answer to the above question is 88... |
[
{
"from": "human",
"value": "An online newspaper had listed 100 visitors in October. The number of visitors in November increased by 15%. There were X more visitors in December than in November. The total number of visitors for these three months is 345. What is the value of the unknown variable X?"
},
... |
[
{
"from": "human",
"value": "Mrs. Petersons bought 10 tumblers for $45 each. She paid with X $100 bills. How much change will Mrs. Petersons receive? If we know the answer to the above question is 50, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "To solve this problem, ... |
[
{
"from": "human",
"value": "Emily enjoys a fruitful day of fishing, where she catches 4 trout, 3 catfish, and 5 bluegills. The trout each weigh 2 pounds, the catfish weigh 1.5 pounds each, and the bluegills weigh 2.5 pounds each. What is the total weight of the fish she caught in pounds?"
},
{
"fro... |
[
{
"from": "human",
"value": "Harry is counting the hours that he sleeps. On Monday night, he sleeps for X hours. On Tuesday night, he sleeps for 7 hours. On Wednesday night, he sleeps for 8 hours. On Thursday night, he sleeps for 10 hours. On Friday night he sleeps for 7 hours. What is the average number of... |
[
{
"from": "human",
"value": "In tetrahedron $ABCD$, the faces $ABC$ and $BCD$ intersect at an angle of $30^\text{o}$. The area of face $ABC$ is given as 120, the area of face $BCD$ is 80, and the length of edge $BC$ is 10. What is the volume of tetrahedron $ABCD$?"
},
{
"from": "gpt",
"value": "... |
[
{
"from": "human",
"value": "Jenna is adding black dots to a bunch of white blouses. Each blouse gets 20 dots, and each dot takes 10 ml of black dye. Jenna needs to buy 50 bottles of 400 ml dye to dye X blouses. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "To solve... |
[
{
"from": "human",
"value": "Venus is at the deli to get subs for a party. She needs X inches of sub. The shop sells 5 and 8 inch subs. She needs to buy 13 of the 5 inch subs if she buys two 8 inch subs. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "To solve this pr... |
[
{
"from": "human",
"value": "John chops down 30 trees. From each tree, he can make 25 planks. A table takes X planks to make and sells for $300. He paid $3000 for all the labor. How much profit did he make? If we know the answer to the above question is 12000, what is the value of unknown variable X?"
},
... |
[
{
"from": "human",
"value": "Karlee possesses 100 grapes and has 3/5 of that amount in strawberries. When her friends Giana and Ansley visit, she gives each of them 1/5 of her grapes and 1/5 of her strawberries. What is the total number of fruits Karlee has remaining after sharing?"
},
{
"from": "gp... |
[
{
"from": "human",
"value": "Larry and Barry want to pick apples out of the tree, but neither is tall enough to reach the apples. Barry can reach apples that are 5 feet high. Larry is X feet tall, but his shoulder height is 20% less than his full height. If Barry stands on Larry's shoulders, they can reach ... |
[
{
"from": "human",
"value": "Mary, Jess, and Christina want to decorate a party room with balloons. Each person inflates balloons at different speeds, and they only have 30 minutes to inflate as many balloons as possible. Mary inflates 10 balloons per minute, Jess inflates X balloons per minute and Christin... |
[
{
"from": "human",
"value": "Given the equations $2x + y = 4$ and $x + 2y = 5$, calculate the value of $5x^2 + 8xy + 5y^2$."
},
{
"from": "gpt",
"value": "To find the value of \\( 5x^2 + 8xy + 5y^2 \\), we first need to solve the system of equations given by \\( 2x + y = 4 \\) and \\( x + 2y = 5... |
[
{
"from": "human",
"value": "Grace started her own landscaping business. She charges $6 an hour for mowing lawns, $11 for pulling weeds and $9 for putting down mulch. In September she mowed lawns for 63 hours, pulled weeds for 9 hours and put down mulch for X hours. How much money did she earn in September?... |
[
{
"from": "human",
"value": "A scale drawing of a park shows that one inch represents 800 feet. A line segment in the drawing that is X inches long represents how many feet? If we know the answer to the above question is 3800, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value"... |
[
{
"from": "human",
"value": "Blanche, Rose and Dorothy liked to collect sea glass when they went to the beach. Blanche found 12 pieces of green and X pieces of red sea glass. Rose found 9 pieces of red and 11 pieces of blue sea glass. If Dorothy found twice as many pieces of red glass as Blanche and Rose... |
[
{
"from": "human",
"value": "There were X people on the city bus. At the first stop, 15 people got off. At the next stop 8 people got off and 2 got on. At the third stop, 4 people got off and 3 people got on. There are 28 people on the bus after the third stop. What is the value of the unknown variable X?"
... |
[
{
"from": "human",
"value": "What is the total of all integers that lie between -12.1 and 3.3?"
},
{
"from": "gpt",
"value": "To find the total of all integers that lie between -12.1 and 3.3, we first identify the integer range: the smallest integer greater than -12.1 is -12, and the largest int... |
[
{
"from": "human",
"value": "Ariella has $200 more in her son's saving account than Daniella has in her son's savings account. Ariella's account earns her simple interest at the rate of X per annum. If Daniella has $400, how much money will Arialla have after two years? If we know the answer to the above qu... |
[
{
"from": "human",
"value": "Mr. Smith had 32 markers in his classroom. He buys new boxes of markers that have X markers in each box. Now, he has 86 markers. How many new boxes did Mr. Smith buy? If we know the answer to the above question is 6, what is the value of unknown variable X?"
},
{
"from":... |
[
{
"from": "human",
"value": "A supermarket has 2355 loaves of bread at the start of the day. By afternoon, 629 loaves are sold, and a further X loaves are delivered to the supermarket by their supplier in the evening. How many loaves of bread are there at the end of the day? If we know the answer to the abo... |
[
{
"from": "human",
"value": "Susan walked to the market to buy X peaches. To carry them home, she brought two identically-sized cloth bags and a much smaller knapsack. Into the knapsack she placed half as many peaches as she placed in each of the two cloth bags. How many peaches did she put in the knapsac... |
[
{
"from": "human",
"value": "Given that $x^2 + 2x + 5$ is a factor of the polynomial $x^4 + Px^2 + Q$, what is the sum of $P$ and $Q$?"
},
{
"from": "gpt",
"value": "To solve for the sum of \\(P\\) and \\(Q\\) given that \\(x^2 + 2x + 5\\) is a factor of the polynomial \\(x^4 + Px^2 + Q\\), we c... |
[
{
"from": "human",
"value": "It takes X men working steadily 4 days to dig the foundation for a new apartment. How many days would it have taken 25 men working at the same rate to dig the foundation? The answer expressed as a decimal to the nearest tenth is 2.4. What is the value of the unknown variable X?"... |
[
{
"from": "human",
"value": "Turner wants to ride the rollercoaster X times, the Catapult 2 times and the Ferris wheel once. It costs 4 tickets to ride the rollercoaster, 4 tickets to ride the Catapult and 1 ticket to ride the Ferris wheel. How many tickets does Turner need? If we know the answer to the abo... |
[
{
"from": "human",
"value": "Each frog needs to eat 30 flies per day to live. Each fish needs to eat 8 frogs per day to live. Each gharial needs to eat X fish a day to live. How many flies get eaten every day in this swamp if it has 9 gharials? If we know the answer to the above question is 32400, what is t... |
[
{
"from": "human",
"value": "Ralph has $54.00 worth of products in his shopping cart. At the checkout, he requests a 20% discount on an item that has a minor issue, which originally costs $20.00. The request is approved. Additionally, Ralph applies a 10% coupon to his total purchase after receiving the 20% ... |
[
{
"from": "human",
"value": "Milo is making a giant loaf of bread, and the recipe calls for pounds of eggs instead of telling him the number. He needs X pounds in total. He looks up online that an egg weighs 1/16 of a pound. He should buy 8 dozen eggs. What is the value of the unknown variable X?"
},
{
... |
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