conversations listlengths 2 2 | source stringclasses 2
values |
|---|---|
[
{
"from": "human",
"value": "A certain fruit is a certain percentage water, and when dried, it becomes 15% water. A quantity of the dried fruit, which currently weighs 12 kilograms, weighed 101.99999999999999 kilograms when it was fresh. What percentage of water was in the fresh fruit?"
},
{
"from":... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "in an electric circuit , two resistors with resistances x and y are connected in parallel . if r is the combined resistance of these two resistors , then the reciprocal of r is equal to the sum of the reciprocals of x and y . what is r if x is 4 ohms and y is 5 ohms ?"
},
{
... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "If the sum of the second and fourth terms in an arithmetic sequence is 6, what is the value of the third term?"
},
{
"from": "gpt",
"value": "Let the arithmetic sequence have a common difference of $d$.\nThe second term is $a + d$, and the fourth term is $a + 3d$.\nT... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Find the molecular weight of a compound with the formula H2CrO4. The molecular weight of the compound is 118. What is the molecular weight of the oxygen part (O4)?"
},
{
"from": "gpt",
"value": "To find the molecular weight of the oxygen part (O4) in the compound H2C... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "What is the positive difference between the two solutions of $|x + 5| = X$?\nIf we know the answer to the above question is 40, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "We want to find the value of $X$ in the given situation.\nThe equat... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "If 25$\\%$ of a number is the same as 20$\\%$ of 30, what is the number?"
},
{
"from": "gpt",
"value": "We can set up the equation $\\frac{25}{100}x = \\frac{20}{100}(30)$, where $x$ is the number we are trying to find.\nSimplifying, we have $\\frac{1}{4}x = \\frac{1... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "What least number must be subtracted from a certain number so that the remaining number is divisible by 15? The original number is 3830 and the least number to subtract is 5. What is the original number?"
},
{
"from": "gpt",
"value": "The original number is already g... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "A plane is expressed parametrically by\n\\[\\mathbf{v} = \\begin{pmatrix} X + s - t \\\\ 2 - s \\\\ 3 - 2s + 2t \\end{pmatrix}.\\]Find the equation of the plane. Enter your answer in the form\n\\[Ax + By + Cz + D = 0,\\]where $A,$ $B,$ $C,$ $D$ are integers such that $A > 0$ an... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "What is the largest integer value of x such that $\\frac{7}{9} > \\frac{x}{13}$?"
},
{
"from": "gpt",
"value": "To make the comparison easier, we can cross-multiply:\n$7 \\cdot 13 > 9 \\cdot x$\n$91 > 9x$\nDivide both sides by 9:\n$10.1 > x$\nThe largest integer valu... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Matilda has half as many jellybeans as Matt. Matt has ten times as many jellybeans as Steve. If Steve has 84 jellybeans, how many jellybeans does Matilda have?"
},
{
"from": "gpt",
"value": "If Steve has 84 jellybeans, and Matt has ten times as many jellybeans as Ste... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Each yogurt is topped with 8 banana slices. One banana will yield 10 slices. If Vivian needs to make x yogurts, how many bananas does she need to buy?\nIf we know the answer to the above question is 4, what is the value of unknown variable x?"
},
{
"from": "gpt",
"... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "If Monica, a teacher, teaches 6 classes per day, with the first class having 20 students, the second and third classes having 25 students each, the fourth class having half the number of students as the first class, and the fifth and sixth classes having 28 students each, how ma... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Archer caught eight fish from the lake to sell in the market. When he reached the market, he sold the fish faster than he had anticipated and decided to go back to the lake and catch more fish. He caught 12 more fish in the second round than he had caught earlier. The demand was... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Kameron has 100 kangaroos on his large farm; Bert has 20 kangaroos on his farm. In how many more days will Bert have the same number of kangaroos as Kameron does now if he buys kangaroos at the same rate of 2 new kangaroos per day?"
},
{
"from": "gpt",
"value": "Kame... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "A shirt regularly priced at $\\$30$ is on sale for X off. Mary has a coupon that will take another $25\\%$ off of the sale price. The single percent discount that would give the same final price as the two successive discounts is 40. What is the value of unknown variable X?"
}... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Combine like terms and simplify the expression $2w+4w+6w+8w+10w+12$."
},
{
"from": "gpt",
"value": "Combining like terms, we have $2w+4w+6w+8w+10w+12 = (2+4+6+8+10)w + 12 = 30w + 12$.\nThe answer is: 30w+12"
}
] | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "After saving $500 per month for 2 years and considering that Liam's trip to Paris costs $7,000 and his bills amount to $3,500, how much money will Liam have remaining after paying his bills?"
},
{
"from": "gpt",
"value": "Liam saves $500 per month for 2 years, so he ... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "In a restaurant, one cup of coffee is $x and a piece of cheesecake $10. When buying them together, the client gets a 25% discount. What is the final price of such a set?\nIf we know the answer to the above question is 12, what is the value of unknown variable x?"
},
{
"f... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "The points on this graph show the end-of-year sales amounts for each year. During what year after 1994 did sales increase the most number of dollars? Express your answer as a 4-digit year.\n\n[asy]unitsize(101/10);\nreal textsize = 10, largetext = 12;\ndraw((10,0)--(0,0)--(0,10... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Tiffany is building a fence around a rectangular tennis court using exactly 300 feet of fencing. The fence must enclose all four sides of the court, with a minimum length of 80 feet and a minimum width of 40 feet. Tiffany wants to maximize the area enclosed by the fence to provi... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "An ice cream shop offers 6 kinds of ice cream. What is the greatest number of two scoop sundaes that can be made such that each sundae contains two types of ice cream and no two sundaes are the same combination?"
},
{
"from": "gpt",
"value": "To make a two scoop sund... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "If Tommy has a flag that is 5 feet wide and 4 feet tall, and he wants to paint both sides of the flag with a new design, how much will he spend on paint if paint costs $2 per quart and a quart is sufficient for 4 square feet?"
},
{
"from": "gpt",
"value": "The flag h... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Sam has 86 yellow and 20 green marbles . Joan took 25 of Sam 's yellow marbles. Sam now has _____ yellow marbles ."
},
{
"from": "gpt",
"value": "Sam originally had 86 yellow marbles. Joan took 25 of them. To find out how many yellow marbles Sam has now, we subtract ... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "Two trains of different lengths are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. The second train is 220 m long. They will be clear of each other in 15.99872010239181 seconds from the moment they meet. What is the length of the first train?"
... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "If 80% of a certain number is greater than 70% of 60.00000000000001 by 30, what is the number?"
},
{
"from": "gpt",
"value": "Let's denote the certain number as X.\n\nAccording to the problem, 80% of X is greater than 70% of 60.00000000000001 by 30.\n\nFirst, let's f... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "Some identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. It would take 4 such machines 12 hours to perform the same job. How many machines were working in the first scenario?"
},
{
"from": "gpt",
"value": "Let's denote t... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "Tim owns various rental properties, including apartment complexes, individual houses, and commercial buildings. He decides to replace all the locks and needs to get different numbers of keys per lock depending on the type of property. He owns four apartment complexes: one with 1... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "John's piggy bank contains quarters, dimes, and nickels. He has three more dimes than quarters and 6 fewer nickels than quarters. If he has 63 coins, how many quarters does John have?"
},
{
"from": "gpt",
"value": "Let's assume John has x quarters.\nSince he has th... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "A man buys 4 different books. He purchases the first book for Rs 50 with a 10% discount and then sells it for Rs 80 with a 5% commission fee on the sale. He buys the second book for Rs 100 with a 15% discount and sells it for Rs 130 with a 3% commission fee on the sale. For the ... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "Robert had 25 balls. Tim gave him half of his 40 balls. How many balls does Robert have now?"
},
{
"from": "gpt",
"value": "Tim gave Robert half of his 40 balls, so Tim gave Robert 40/2 = 20 balls.\nBefore Tim gave him the balls, Robert had 25 balls, so now he has 25... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Steven is preparing a shipment of boxes to deliver to a customer for his chemical supply business. He has three trucks that can be sent on each delivery. Each truck can carry a load of no more than 2,000 pounds of cargo. Some of the boxes weigh a certain amount after being packe... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "If Timmy, Tommy, and Tina are filling up a kiddie pool in their backyard with water from their pails, and Timmy's pail holds twice as much water as Tommy's, and Tommy's pail holds 2 gallons more than Tina's, and Tina's pail holds 4 gallons, how much water do they fill the pool w... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "A train 630 m long, running with a certain speed, passes a tree in 36 seconds. What is the speed of the train in km/hr?"
},
{
"from": "gpt",
"value": "To find the speed of the train, we can use the formula:\n\nSpeed = Distance / Time\n\nThe distance the train covers ... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "Let $f(x) = ax+b$, where $a$ and $b$ are real constants, and $g(x) = 2x - 5$. Suppose that for all $x$, it is true that $g(f(x)) = 3x + X$. The value of $a+b$ is 6. What is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "To solve this problem, we need... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Brandon sold some geckos to a local pet shop. Brandon sold the geckos for 100$. The pet store sells them for 5 more than 3 times that. How much does the pet store profit?"
},
{
"from": "gpt",
"value": "First, let's find out how much the pet store sells the geckos for... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "If the carpenter made ten tables this month and three fewer tables last month, what is the total number of tables that the carpenter made?"
},
{
"from": "gpt",
"value": "If the carpenter made ten tables this month, and three fewer tables last month, then the carpente... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "If there are initially 3414 yellow balloons and the number of black balloons is 1762 more than the number of yellow balloons, and these balloons will be equally distributed among 10 schools, how many balloons will each school receive?"
},
{
"from": "gpt",
"value": "T... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "What is the smallest positive integer with exactly X positive integer divisors?\nIf we know the answer to the above question is 48, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "We want to find the value of $X$ in the given situation.\nThe n... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Micah bought envelopes to send, and depending on the weight of the envelope he will need more stamps. If an envelope weighs more than 5 pounds, he will need 5 stamps. If it weighs less than that, it will only need 2 stamps. If he bought 52 stamps with 6 envelopes that weigh less... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Consider the arithmetic sequence $1$, $4$, $7$, $10$, $13$, $\\ldots$. Find the $15^{\\text{th}}$ term in the sequence."
},
{
"from": "gpt",
"value": "The common difference is $4 - 1 = 7 - 4 = 10 - 7 = \\cdots = 3$.\nThus, the $15^{\\text{th}}$ term is $1 + 3 \\cdo... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Two brothers, Ram and Ravi, appeared for an exam. The probability of selection of Ram is 2/7, and that of Ravi is some fraction. The probability that both of them are selected is 0.05714285714285714. What is the probability of selection of Ravi?"
},
{
"from": "gpt",
... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "The lengths of three sticks, measuring 5 cm, 9 cm, and n cm, form a triangle. What is the sum of all possible whole number values of n?"
},
{
"from": "gpt",
"value": "In order for the three sticks to form a triangle, the sum of the lengths of any two sticks must be g... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Given that segment AB has endpoints at A(2, -2) and B(14, 4), and it is extended through B to point C, if BC is equal to one-third of AB, what are the coordinates of point C? Express your answer as an ordered pair."
},
{
"from": "gpt",
"value": "The vector from A to ... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "As a child, Bobby was able to jump rope 30 times per minute. Now that he is an adult, he can jump x jump per second. How many more jumps than when he was a child is Bobby able to jump now that he is an adult?\nIf we know the answer to the above question is 30, what is the value ... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "If there are initially 10 books on the table, with two-fifths being reading books and three-tenths being math books, and one fewer science book than math books, how many history books are there in total?"
},
{
"from": "gpt",
"value": "There are initially 10 books on ... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "If Mary's cordless vacuum cleaner lasts for ten minutes on a single charge, and it takes her four minutes to vacuum each room in her house (which includes three bedrooms, a kitchen, and a living room), how many times does she need to charge her vacuum cleaner in order to vacuum ... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Everyone in a class of 30 students takes math and history. Seven students received an A in history and 13 received an A in math, including four that received an A in both courses. How many students did not receive an A in any of these two courses?"
},
{
"from": "gpt",
... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "The light glows for every 13 seconds. Between 1:57:58 and a certain time, it glowed a maximum of 382.2307692307692 times. What was the ending time?"
},
{
"from": "gpt",
"value": "To find the ending time, we need to calculate the total time the light glowed for 382.23... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "Noah’s age is twice Joe’s age. If Joe is 6 years old, how old will Noah be after 10 years?"
},
{
"from": "gpt",
"value": "If Joe is 6 years old, and Noah's age is twice Joe's age, then Noah is currently 6 * 2 = 12 years old.\n\nAfter 10 years, Noah will be 12 + 10 = ... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "Fiona completed 36 math questions in an hour. Shirley was able to complete twice as many math questions within that same time, and Kiana completed half of the sum of Fiona and Shirley's math questions. If they each did the same number of questions the following hour, how many ma... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "In digging a pond with a 20 m length, a certain width, and 5 m depth, the volume of the soil extracted is 1000 cubic meters. What is the width of the pond?"
},
{
"from": "gpt",
"value": "To find the width of the pond, we can use the formula for the volume of a rectan... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "If there were initially 1,800 fish swimming westward, 3,200 fish swimming eastward, and 500 fish swimming north, and fishers caught 2/5 of the fish that swam eastward and 3/4 of the fish that swam westward, what is the total number of fish remaining in the sea?"
},
{
"fr... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Tony loved to solve difficult pen and paper puzzles. He did a warm-up puzzle that only took 10 minutes and after that he did 2 puzzles that each took 3 times as long. How long did he spend solving puzzles?"
},
{
"from": "gpt",
"value": "The warm-up puzzle took 10 m... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Simplify $\\frac{8xy^2}{6x^2y}$ with $x=2$ and $y=3.$"
},
{
"from": "gpt",
"value": "Substitute $x=2$ and $y=3$ into the expression to get $\\frac{8(2)(3^2)}{6(2^2)(3)}$.\nSimplifying, we have $\\frac{8(2)(9)}{6(4)(3)}$.\nFurther simplifying, we have $\\frac{144}{72}... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "John eats 3 meals a day. Breakfast is 500 calories. His lunch contains 25% more calories than that. His dinner is twice as many calories as lunch. He also has 3 shakes that are each 300 calories. How many calories does he get in a day?"
},
{
"from": "gpt",
"valu... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Jennifer decides to share her sweets between herself and her 3 friends. She has 212 green sweets, 310 blue sweets and 502 yellow sweets. How many sweets will Jennifer and her friends get each?"
},
{
"from": "gpt",
"value": "Jennifer has a total of 212 + 310 + 502 = 1... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "In a bag, there are ten balls, consisting of a combination of red and yellow balls. When two balls are randomly drawn simultaneously, the probability of both balls being red is 1/15. How many of the ten balls in the bag are red?"
},
{
"from": "gpt",
"value": "Let $r$... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "the smallest number which when diminished by 5, is divisible by 27, 36, 44, 52, and 65 is"
},
{
"from": "gpt",
"value": "To find the smallest number that meets the given conditions, we need to find the least common multiple (LCM) of the divisors (27, 36, 44, 52, and ... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "Working together, four pugs can clean their house in 45 minutes. X pugs working together will be able to clean their house in 12 minutes. What is the value of unknown variable x? What is the value of unknown variable x?"
},
{
"from": "gpt",
"value": "To solve this pr... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Some moles of Ammonia react with 2 moles of Sulfuric acid to form 2 moles of Ammonium sulfate. How many moles of Ammonia are required for this reaction?"
},
{
"from": "gpt",
"value": "The balanced chemical equation for the reaction between ammonia (NH₃) and sulfuric ... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "There exist vectors $\\mathbf{a}$ and $\\mathbf{b}$ such that\n\\[\\mathbf{a} + \\mathbf{b} = \\begin{pmatrix} 6 \\\\ -3 \\\\ -6 \\end{pmatrix},\\]where $\\mathbf{a}$ is parallel to $\\begin{pmatrix} 1 \\\\ 1 \\\\ 1 \\end{pmatrix},$ and $\\mathbf{b}$ is orthogonal to $\\begin{pm... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Gina's snake eats x mouse every 4 weeks. It will eat 130 mice in a decade. What is the value of unknown variable x?"
},
{
"from": "gpt",
"value": "To solve this problem, we need to determine the value of x, which represents the number of mice the snake eats every 4 w... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Present ages of Abi, Suji, and Ravi are in the ratio of 5 : 4 : 3 respectively. 6 years hence, the ratio of their ages will become 13 : 11 : 9 respectively. What is Suji's present age in years?"
},
{
"from": "gpt",
"value": "Let's denote the present ages of Abi, Suji... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "John has to get a new blanket. He decides to have a 12 foot by 15-foot quilt made. The quilt costs $70 per square foot. How much does his quilt cost?"
},
{
"from": "gpt",
"value": "To find the cost of the quilt, we first need to calculate the area of the quilt in squ... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"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 6 pounds in total. He looks up online that an egg weighs x of a pound. If he needs 6 pounds of eggs, how many dozen should he buy?\nIf we know the answer to ... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "If it takes Ellen 5 minutes to paint a lily, 7 minutes to paint a rose, 3 minutes to paint an orchid, and 2 minutes to paint a vine, how much time will she need to paint a total of 17 lilies, 10 roses, 6 orchids, and 20 vines?"
},
{
"from": "gpt",
"value": "Ellen tak... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "A boat can travel with a speed of 25 km/hr in still water. If the speed of the stream is 5 km/hr, the boat takes 3 hours to go a certain distance downstream. What is the distance the boat travels downstream?"
},
{
"from": "gpt",
"value": "When the boat is traveling d... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "Lexie is 6 years older than her brother and her sister is twice her age. If Lexie is 8, what is the age difference between her brother and her sister?"
},
{
"from": "gpt",
"value": "If Lexie is 6 years older than her brother, then her brother's age is 8 - 6 = 2\nIf L... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Some students want to buy pencils from a stationery shop. The price of one pencil is 20 cents. Tolu wants x pencils, Robert wants 5 pencils and Melissa wants 2 pencils. How much (in dollars) will the students spend altogether at the stationery shop?\nIf we know the answer to the... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "In triangle $ABC,$ points $D$ and $E$ are on $\\overline{AB}$ and $\\overline{AC},$ respectively, and angle bisector $\\overline{AT}$ intersects $\\overline{DE}$ at $F.$ If $AD = 1,$ $DB = 3,$ $AE = 2,$ and $EC = X compute $\\frac{AF}{AT}.$\n\n[asy]\nunitsize(1 cm);\n\npair A, ... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Leila and Mohamed decided to donate their old toys to a children’s home. Leila gave 2 bags with 25 toys in each bag. Mohamed’s donation was 3 bags with 19 toys in each bag. How many more toys did Mohamed donate?"
},
{
"from": "gpt",
"value": "Leila donated a total of... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Train A is leaving Austin to Houston at 82.1 miles per hour. Train B leaves to Austin at a certain speed. They pass each other on the 240-mile trip in 1.25542053973 hours. What is the speed of Train B?"
},
{
"from": "gpt",
"value": "To find the speed of Train B, we n... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "James and Lisa ordered 2 small pizzas. Each pizza has 6 slices. James ate 2/3 of all the slices. How many slices of pizza did James eat?"
},
{
"from": "gpt",
"value": "Each pizza has 6 slices, so 2 pizzas have a total of 6 x 2 = 12 slices.\nJames ate 2/3 of all the s... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "If all 40 people skated at the roller skate rink on its last night, how many wheels were on the floor in total?"
},
{
"from": "gpt",
"value": "Each person has 2 feet, and each foot has 1 roller skate on it, so each person has a total of 2 roller skates.\nSince there ... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Mr. Callen bought 10 paintings at $40 each and 8 wooden toys at $x each from the crafts store to resell at a profit. However, when he sold the items, the selling price of a painting was 10% less and the selling price of a hat 15% less. Calculate the total loss Mr. Callen made fr... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Leila went to the supermarket to buy food for the Christmas party. She bought apples for 5€, sugar for 3€ and carrots for 17€. She paid with a 50€ bill. How much money does the saleswoman return to her?"
},
{
"from": "gpt",
"value": "Leila bought apples for 5€, sugar... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Greg and Katie went to Mrs. Scarlet's gold store to have their gold chests opened. They realized Greg had four times less gold than Katie when Mrs. Scarlet opened the chests. If the total amount of gold is 100, how much gold does Greg have?"
},
{
"from": "gpt",
"valu... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Danny brings 3 watermelons to his family picnic. He cuts each watermelon into 10 slices. His sister brings 1 watermelon to the family picnic, and she cuts the watermelon into 15 slices. How many watermelon slices are there in total at the picnic?"
},
{
"from": "gpt",
... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "While digging through her clothes for ice cream money, Joan found some dimes in her jacket, and 4 dimes in her shorts. Joan found $1.9. How many dimes did Joan find in her jacket?"
},
{
"from": "gpt",
"value": "If Joan found $1.90 in total and she found 4 dimes in he... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "If Paul had $15 to spend on groceries and he bought bread for $2, butter for $3, and juice at twice the price of the bread, how much money does Paul have left?"
},
{
"from": "gpt",
"value": "Paul spent $2 on bread and $3 on butter, so he spent a total of $2 + $3 = $5... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Tamara, Nora, and Lulu have been saving to pay off a $40 debt. So far, Nora has saved five times what Lulu has, but three times Tamara’s savings. They paid off the debt and divided the remaining money equally, and each girl got $2. How much money did Lulu save?"
},
{
"fr... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "Yanna bought ten shirts at $x each and three pairs of sandals at $3 each. How much change did she get back if she gave a one hundred dollar bill?\nIf we know the answer to the above question is 41, what is the value of unknown variable x?"
},
{
"from": "gpt",
"value... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "A student received his weekly allowance, and on the first day, he spent 3/5 of it at the arcade. The next day, he earned $4 by helping his neighbor with some errands and added it to his remaining allowance. Then he spent 2/3 of the new total on buying a toy at the toy store. Aft... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "If Randy initially had $3,000 and received an additional $200 from Smith, and he gave $1,200 to Sally, what is the value, in dollars, of the remaining amount that Randy kept?"
},
{
"from": "gpt",
"value": "Randy initially had $3,000.\nHe received an additional $200 f... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Natasha has an amount of dimes worth more than $\\$1$ but less than $\\$10$. When she arranges her dimes into stacks of 3, she has 1 remaining. When she arranges them into stacks of 4, she has 1 remaining. When she arranges them into stacks of 5, she still has 1 remaining. How m... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Judy uses 10 pencils during her 5 day school week. A 30 pack of pencils costs $4. How much will she spend on pencils over 45 days?"
},
{
"from": "gpt",
"value": "Judy uses 10 pencils in 5 days, so she uses 10/5 = 2 pencils per day.\nA 30 pack of pencils lasts Judy 30... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "There are 9 crayons in the drawer. Benny placed 3 more crayons in the drawer, but then he took out 2 crayons and broke 1 crayon into half. How many whole crayons and halves are now there in total in the drawer?"
},
{
"from": "gpt",
"value": "Initially, there were 9 c... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "Three numbers are in the ratio of 3 : 4 : 6 and their product is 1944. What is the largest of these numbers?"
},
{
"from": "gpt",
"value": "Let the three numbers be 3x, 4x, and 6x, where x is a common multiplier. According to the problem, the product of these three n... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "Adonis is playing a prank on his dad by replacing his shampoo with hot sauce. Every day, after his dad showers, Adonis replaces the shampoo with 1/2 an ounce of hot sauce. He knows his dad uses 1 oz of shampoo a day from a new 10 oz bottle that no one else uses. After 4 days, wh... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "12 owls were sitting on the fence. 7 more owls joined them. Now, there are _____ owls on the fence."
},
{
"from": "gpt",
"value": "There are now 19 owls on the fence. (12 original owls + 7 more owls = 19 owls)"
}
] | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "If Jackie spends 8 hours working, 3 hours exercising, and 8 hours sleeping each day, how many hours of free time does Jackie have?"
},
{
"from": "gpt",
"value": "Jackie spends a total of 8 + 3 + 8 = 19 hours on working, exercising, and sleeping.\nThere are 24 hours i... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Peter invests a sum of money at a certain compound interest rate and gets back an amount of $815 in 3 years. David invests an equal amount of money at a different compound interest rate and gets an amount of $854 in 4 years. Susan also invests the same amount of money at another... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "Village Foods sells good food at a fair price. Their specialty is fresh vegetables. If they get 500 customers per month, and each customer purchases 2 heads of lettuce for $1 each and 4 tomatoes for $0.5 apiece, then how much money, in dollars, will the store receive in sales ... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "If an athlete runs at a pace of 5 minutes per mile and their heart beats an average of 150 times per minute while running, how many times does their heart beat during a 26-mile race?"
},
{
"from": "gpt",
"value": "The athlete runs at a pace of 5 minutes per mile, so ... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "The age of Gladys is equal to twice the sum of the ages of Billy and Lucas. Billy is 3 times younger than Gladys who is 30 years old now. How old will Lucas be three years from now?"
},
{
"from": "gpt",
"value": "Since Billy is 3 times younger than Gladys, then Billy... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "A new factory opens up and hires 20 people to make t-shirts. Each person makes on average 20 shirts per day during their 8-hour shift. The employees each get paid $x an hour plus $5 per shirt they make. The company sells shirts for $35 each. Nonemployee expenses come out to... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "I walked 2 miles in 1 hour for Relay for Life. If I maintained this pace for the 8 hours I walk, I would walk _____ miles ."
},
{
"from": "gpt",
"value": "If you walked 2 miles in 1 hour, then in 8 hours you would walk:\n\n2 miles/hour * 8 hours = 16 miles\n\nSo, you... | HuggingFaceH4/orca-math-word-problems-200k |
[
{
"from": "human",
"value": "Dianne runs a store that sells books. 37% of her 1000 customers end up returning their books. Her books all cost 15 dollars apiece. How much money does she keep in sales after subtracting the returns?"
},
{
"from": "gpt",
"value": "Dianne has 1000 customers and 37... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Meghan had money in the following denomination: 2 $x bills, 5 $50 bills, and 10 $10 bills. He had 550 money altogether. What is the value of unknown variable x?"
},
{
"from": "gpt",
"value": "To solve this problem, we need to determine the value of x, which represent... | meta-math/MetaMathQA |
[
{
"from": "human",
"value": "Tonya has opened a lemonade stand selling lemonade in small, medium, and large cups at $1, $2 and $3 respectively. At the close of business she ended up making x. As she went back through her inventory she noticed that she sold $11 worth of small lemonades and $24 worth of medi... | meta-math/MetaMathQA |
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