prompt
listlengths 1
1
| reward_model
dict | data_source
stringclasses 1
value | extra_info
dict |
|---|---|---|---|
[
{
"content": "Solve for \\(x\\) in the equation \\(2x(x - 3) + 5x = 3(x^2 - x)\\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2",
"style": "rule"
}
|
numina_math
|
{
"index": 10200,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A farmer is planting two types of crops: corn and wheat. Each bag of corn seeds costs 15.75 dollars, and each bag of wheat seeds costs 12.60 dollars. If the farmer buys 8 bags of corn seeds and 10 bags of wheat seeds, how much money did the farmer spend in total? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "252.00",
"style": "rule"
}
|
numina_math
|
{
"index": 10201,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A painter can complete a wall in 6 hours, and his assistant can complete the same wall in 10 hours. If they work together to paint the wall, how long will it take them to complete the job? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "3.75",
"style": "rule"
}
|
numina_math
|
{
"index": 10202,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah is planning a road trip that covers a distance of 150 miles. She knows that her car consumes 1 gallon of gas for every 25 miles. If the cost of gas is $3.50 per gallon, how much will Sarah spend on gas for the entire trip? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "21.00",
"style": "rule"
}
|
numina_math
|
{
"index": 10203,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "John eats a bag of chips for dinner and then eats twice as many after dinner. If he eats 3 bags of chips for dinner, how many bags of chips did he eat in total? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "9",
"style": "rule"
}
|
numina_math
|
{
"index": 10204,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A rectangular garden plot has an area of 300 square meters. If the length of the garden is increased by 20% and the width is decreased by 10%, what will be the new area of the garden plot? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "324",
"style": "rule"
}
|
numina_math
|
{
"index": 10205,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Mandy is coloring a map with 4 different regions. She wants to make sure no two adjacent regions have the same color. If she uses 5 different colors and each color costs $1.50 per bottle, how much will Mandy spend on colors if each region requires 1/3 of a bottle? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2",
"style": "rule"
}
|
numina_math
|
{
"index": 10206,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A factory produces light bulbs, and the probability that any individual light bulb is defective is 0.1. If a quality control inspector randomly selects 15 light bulbs, what is the probability that exactly 2 of them are defective? Express your answer as a decimal rounded to the nearest thousandth. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "0.267",
"style": "rule"
}
|
numina_math
|
{
"index": 10207,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Maria is purchasing a laptop that originally costs $800. The store is offering a 15% discount on the laptop, and Maria has an additional coupon that gives her a $50 discount on any purchase. After applying both discounts, what is the final price Maria pays for the laptop? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "630",
"style": "rule"
}
|
numina_math
|
{
"index": 10208,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah works on her project for a total of 4.5 hours. She takes a 10-minute break every 30 minutes of work. How many breaks does she take, and how much total time does she spend working without breaks? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "3",
"style": "rule"
}
|
numina_math
|
{
"index": 10209,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "The scores of five students on a test are 76, 85, 90, 88, and \\( x \\). If the average score of these five students is 84, what is the value of \\( x \\)? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "81",
"style": "rule"
}
|
numina_math
|
{
"index": 10210,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A rectangular garden measures 7 and 1/2 meters in length and 4 meters in width. The garden needs to be covered with a layer of mulch, and each square meter requires 3/4 of a cubic meter of mulch. How many cubic meters of mulch are needed to cover the entire garden? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "22.5",
"style": "rule"
}
|
numina_math
|
{
"index": 10211,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Julia spends money on her hobbies every year. She spends $15 each month on painting supplies and $10 each month on gardening supplies. If she decides to save $300 each year for a vacation, how much money does she spend on hobbies and saving for the vacation in a year? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "600",
"style": "rule"
}
|
numina_math
|
{
"index": 10212,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A cylindrical tank with a radius of 5 feet and a height of 10 feet is partially filled with water. If the water level is at 6 feet, what is the volume of the water in cubic feet? Additionally, if the tank is then tilted so that its height is now the hypotenuse of a right triangle formed with the water level and the base, what is the new height of the water? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "8",
"style": "rule"
}
|
numina_math
|
{
"index": 10213,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A store is selling notebooks at $2.50 each. If a customer buys 15 notebooks, how much will the total cost be? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "37.50",
"style": "rule"
}
|
numina_math
|
{
"index": 10214,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Samantha is preparing a large batch of soup that requires a total of 6 liters of broth. The recipe calls for a mix of chicken broth and vegetable broth in the ratio of 2:1. If she has already added 3 liters of chicken broth, how much vegetable broth does she need to add to maintain the correct ratio? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2",
"style": "rule"
}
|
numina_math
|
{
"index": 10215,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Maria is planning her monthly budget. She starts with $2,500. She needs to pay her rent, which is $1,200, and her utility bills, which are $300. She also spends $150 on groceries and $100 on transportation. At the end of the month, Maria decides to save the remaining money. How much money does she save at the end of the month? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "750",
"style": "rule"
}
|
numina_math
|
{
"index": 10216,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Maurice is getting $3 for every finished task. And for every 8 tasks finished, he receives a $5 bonus. How much money would Maurice make for finishing 24 tasks? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "87",
"style": "rule"
}
|
numina_math
|
{
"index": 10217,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah is organizing a community event and needs to set up tables and chairs. Each table needs 4 chairs. She has 15 tables and 60 chairs. If she decides to increase the number of tables to 20, how many additional chairs does she need to ensure each table still has 4 chairs? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "20",
"style": "rule"
}
|
numina_math
|
{
"index": 10218,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "There were 500 students in a school. During the school year, 45 students transferred to another school. How many students are left in the school? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "455",
"style": "rule"
}
|
numina_math
|
{
"index": 10219,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A group of friends decided to share the cost of a board game equally. If each person pays $45$, they will be short by $75$. However, if each person pays $60$, they will have $30$ extra. How much does the board game cost, and how many friends are there? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "7",
"style": "rule"
}
|
numina_math
|
{
"index": 10220,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A company wants to determine how much time two different machines take to complete a certain task when working together. Machine A takes 4 hours to complete the task alone, and Machine B takes 6 hours to complete the same task alone. How long will it take for both machines working together to complete the task? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2.4",
"style": "rule"
}
|
numina_math
|
{
"index": 10221,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Determine how many divisors the factorial \\(10!\\) has. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "270",
"style": "rule"
}
|
numina_math
|
{
"index": 10222,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "If a statement is made that the product of a number \\( x \\) and 3 is equal to 21, and another statement says that the same number \\( x \\) increased by 5 equals 12, determine the value of \\( x \\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "7",
"style": "rule"
}
|
numina_math
|
{
"index": 10223,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A triangle $\\triangle ABC$ is inscribed in a circle such that $AB$ is a diameter of the circle. The circle has a radius of 10 units. Point $C$ lies on the circle, and $AC$ and $BC$ are tangent to a smaller circle of radius 5 units centered at point $O$ inside the larger circle. If the distance from $O$ to $AB$ is 7 units, find the area of $\\triangle ABC$. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "50",
"style": "rule"
}
|
numina_math
|
{
"index": 10224,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah spends $1.50 daily on lunch during the weekdays (Monday through Friday). She decides to bring her lunch from home which costs her $1.00 daily instead. She also receives a monthly discount of $5.00 on her grocery bill for bringing lunch from home. How much money does Sarah save in a 30-day month by bringing lunch from home? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "15",
"style": "rule"
}
|
numina_math
|
{
"index": 10225,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah is making a fruit salad for a party. She needs 3/4 of a pound of strawberries and 1/2 of a pound of blueberries. If strawberries cost $4 per pound and blueberries cost $6 per pound, how much will Sarah spend on the fruit for her salad? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "6",
"style": "rule"
}
|
numina_math
|
{
"index": 10226,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Mia is planning a road trip. She will drive 200 miles to her first destination, then 120 miles to the second destination, and finally 180 miles to her final destination. If she expects to spend 15% of her total travel distance on rest stops, how many miles will she spend driving and how many miles will she spend on rest stops? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "75",
"style": "rule"
}
|
numina_math
|
{
"index": 10227,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A store originally priced a laptop at $800. During a sale, the store offered a 15% discount on the laptop. After the discount, the store applied a 10% sales tax to the discounted price. What is the final price of the laptop after the discount and sales tax? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "748",
"style": "rule"
}
|
numina_math
|
{
"index": 10228,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Tommy wants to buy 8 new books, each costing $12. If Tommy already has $25, how much more money does he need to save up? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "71",
"style": "rule"
}
|
numina_math
|
{
"index": 10229,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a class of 30 students, 18 students play soccer and 12 students play basketball. If 5 students play both soccer and basketball, what is the probability that a randomly selected student from this class plays either soccer or basketball? Express your answer as a percentage. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "83.33",
"style": "rule"
}
|
numina_math
|
{
"index": 10230,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Solve the rational equation \\(\\frac{x^2 - 4}{x^2 - 5x + 6} = \\frac{2x - 8}{3x - 9}\\) and identify any extraneous solutions. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "-14",
"style": "rule"
}
|
numina_math
|
{
"index": 10231,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "There are 6 different colored flags: red, yellow, black, white, blue, and green. If 4 flags are randomly selected and arranged in a row as a signal, how many different signals can be represented? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "360",
"style": "rule"
}
|
numina_math
|
{
"index": 10232,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah runs a small bakery and sells cookies in packages. Each package has 12 cookies and costs $5. On a particular day, she sold 25 packages in the morning and 30 packages in the afternoon. How much money did Sarah make in total that day? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "275",
"style": "rule"
}
|
numina_math
|
{
"index": 10233,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A special type of plant grows according to the Fibonacci sequence, where each number is the sum of the two preceding ones. Suppose a plant produces 2 flowers in the first month and follows the Fibonacci sequence for flower production in the subsequent months. If each flower takes 3 hours to bloom fully, how many total hours does it take for all the flowers produced by the plant in the first 5 months to bloom fully? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "72",
"style": "rule"
}
|
numina_math
|
{
"index": 10234,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A cyclist can maintain a speed of 20 kilometers per hour on flat terrain and 10 kilometers per hour when climbing hills. If a racecourse is 60 kilometers long with 40 kilometers of flat terrain and 20 kilometers of hilly terrain, how long will it take the cyclist to complete the race? Provide your answer in hours and minutes. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "4",
"style": "rule"
}
|
numina_math
|
{
"index": 10235,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Mr. Lee deposits 15,000 yuan in a savings account for a fixed term of 4 years with an annual interest rate of 3.5%. Calculate the total amount of money Mr. Lee will have in the account at the end of the term, including the principal and the interest, using simple interest calculation. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "17100",
"style": "rule"
}
|
numina_math
|
{
"index": 10236,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Simplify the expression: $\\sqrt[3]{8x^6y^9} \\cdot x^{-2}y^{-3}$ Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2",
"style": "rule"
}
|
numina_math
|
{
"index": 10237,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Mark buys a pack of 10 pencils for $5. He decides to share these pencils with his two friends, Alice and Bob. He gives Alice 1/4 of the pencils and Bob 1/3 of the pencils. How many pencils does Mark have left after sharing with Alice and Bob? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "5",
"style": "rule"
}
|
numina_math
|
{
"index": 10238,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Evaluate the expression \\(2 + 3 \\times (4 + 5 \\times (6 + 7 \\times (8 + 9 \\times (10 + 11))))\\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "20789",
"style": "rule"
}
|
numina_math
|
{
"index": 10239,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a science lab, there are three different types of chemicals stored in containers. The first container holds 250 grams of Chemical A. The second container holds 120 grams more than the first container of Chemical B. The third container holds 80 grams less than the second container of Chemical C. What is the total weight of all the chemicals in the lab? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "910",
"style": "rule"
}
|
numina_math
|
{
"index": 10240,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Solve for \\( x \\) if \\( 3^{2x+1} = \\frac{1}{27} \\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "-2",
"style": "rule"
}
|
numina_math
|
{
"index": 10241,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a video game, a player's score is calculated based on the number of completed levels. Each level completed doubles the player's score. If a player starts with a score of 50 points and completes 3 levels, what will be the player's final score? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "400",
"style": "rule"
}
|
numina_math
|
{
"index": 10242,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah bought 3/4 of a pound of cheese. If the cheese costs $6 per pound, how much did she pay for the cheese? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "4.50",
"style": "rule"
}
|
numina_math
|
{
"index": 10243,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Solve for $x$ in the equation \\[\\log_5 (25^x) + \\log_{25} (5^x) = 6.\\] Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2.4",
"style": "rule"
}
|
numina_math
|
{
"index": 10244,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A rectangular garden has a length of 25 meters and a width of 15 meters. If you want to add a walkway around the garden that is 2 meters wide, what is the total perimeter of the garden including the walkway? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "96",
"style": "rule"
}
|
numina_math
|
{
"index": 10245,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Marcus is currently 4 years old. In 6 years, he will be one-fourth the age of his uncle. How old is his uncle today? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "34",
"style": "rule"
}
|
numina_math
|
{
"index": 10246,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A factory produces widgets at a constant rate. It can produce 450 widgets in 5 hours. If the factory operates for 8 hours a day, how many widgets will it produce in a day? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "720",
"style": "rule"
}
|
numina_math
|
{
"index": 10247,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah is planning a road trip across three cities. She travels from City A to City B, which is 120 miles away, and then from City B to City C, which is 180 miles away. On her way back, she takes the same route in reverse. If her car consumes fuel at a rate of 0.05 gallons per mile and the cost of fuel is $3.50 per gallon, how much will she spend on fuel for the entire trip? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "105",
"style": "rule"
}
|
numina_math
|
{
"index": 10248,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Given the polynomial function \\( f(x) = x^4 - 5x^3 + 10x^2 - 10x + 5 \\), find the greatest common factor of its roots. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "1",
"style": "rule"
}
|
numina_math
|
{
"index": 10249,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A gardener wants to plant a rectangular flower bed that is 5 meters long and 3 meters wide. However, he needs to leave a 1-meter wide path around the entire bed. If the total area of the garden plot is 50 square meters, how much area is left for the flower bed after accounting for the path? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "20",
"style": "rule"
}
|
numina_math
|
{
"index": 10250,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Anna is training for a marathon. She runs at a steady pace of 6 kilometers per hour. After running for 40 minutes, she increases her speed to 8 kilometers per hour for the next 30 minutes. How many kilometers did Anna run in total? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "8",
"style": "rule"
}
|
numina_math
|
{
"index": 10251,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah bought a laptop for $800 and the sales tax rate in her state is 7%. After calculating the sales tax, she realizes she has a $50 discount coupon. How much does Sarah need to pay in total? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "806",
"style": "rule"
}
|
numina_math
|
{
"index": 10252,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "What is the largest positive integer whose digits sum to 10 and each digit is a factorial of a number from 1 to 3? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "622",
"style": "rule"
}
|
numina_math
|
{
"index": 10253,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "The following table shows the daily production of widgets at a factory over a 5-day workweek:\n\n| Day | Widgets Produced |\n|-------------|------------------|\n| Monday | 150 |\n| Tuesday | 175 |\n| Wednesday | 160 |\n| Thursday | 170 |\n| Friday | 155 |\n\nWhat is the average number of widgets produced per day over this period, rounded to the nearest tenth? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "162.0",
"style": "rule"
}
|
numina_math
|
{
"index": 10254,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a class of 50 students, 30 students are enrolled in the Math club, and 35 students are enrolled in the Science club. If 10 students are not enrolled in either club, how many students are enrolled in both clubs? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "25",
"style": "rule"
}
|
numina_math
|
{
"index": 10255,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah has 150 apples. She gives 45 apples to her friend and then decides to distribute the remaining apples equally among 7 baskets. How many apples will be in each basket? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "15",
"style": "rule"
}
|
numina_math
|
{
"index": 10256,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "How many three-digit even numbers can be formed using the digits 1, 2, 3, 4, and 5 without repeating any digit? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "24",
"style": "rule"
}
|
numina_math
|
{
"index": 10257,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Jenny is mixing a large batch of fruit punch for a party. She uses 3 liters of orange juice, 1.5 liters of pineapple juice, and 2.5 liters of water. If she wants to serve the punch in glasses that each hold 0.25 liters, how many glasses can she fill with the fruit punch? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "28",
"style": "rule"
}
|
numina_math
|
{
"index": 10258,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A landscaper is tasked with planting a garden that is 300 meters long. Each day, she plants 40 meters of the garden. After 5 days, she is called away for another job, leaving the rest of the garden unfinished. How many meters of the garden still need to be planted? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "100",
"style": "rule"
}
|
numina_math
|
{
"index": 10259,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Evaluate the sum of the following sequence of numbers: $35 + (-20) + 15 + (-10) + 50 + (-5)$. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "65",
"style": "rule"
}
|
numina_math
|
{
"index": 10260,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A circular race track has a radius of 300 meters. Runners complete laps around the track, and it takes them 10 minutes to finish one lap. How long, in minutes, would it take them to complete 5 laps around the track? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "50",
"style": "rule"
}
|
numina_math
|
{
"index": 10261,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A small village had an initial population of 800 people. Over the next year, 1/4 of the population moved out, and 1/8 of the remaining population moved in from a neighboring village. Afterward, the village's population increased by 10% due to a baby boom. What is the final population of the village at the end of the year? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "743",
"style": "rule"
}
|
numina_math
|
{
"index": 10262,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Avery puts 4 shirts in the donation box. He adds twice as many pants as shirts in the box. He throws in half as many shorts as pants in the box. In total, how many pieces of clothes is Avery donating? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "16",
"style": "rule"
}
|
numina_math
|
{
"index": 10263,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A cylindrical water tank has a height that is twice its radius. If the tank's volume is 1000 cubic meters, what is the radius of the tank? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "5.39",
"style": "rule"
}
|
numina_math
|
{
"index": 10264,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Lily is baking a cake and has a recipe that requires 3/4 cup of sugar. However, she accidentally added 5/6 cup of sugar. How much sugar does she need to remove to have the correct amount? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "\\frac{1}{12}",
"style": "rule"
}
|
numina_math
|
{
"index": 10265,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A water tank is being filled and emptied simultaneously by two pipes. Pipe A fills the tank at a rate of 3 liters per minute, while Pipe B empties it at a rate of 2 liters per minute. If the tank has an initial volume of 50 liters, how long will it take to fill the tank to 100 liters? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "50",
"style": "rule"
}
|
numina_math
|
{
"index": 10266,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Jacob has two jobs and works different hours for each. In his first job, he works 25 hours a week and earns $20 per hour. In his second job, he works 15 hours a week and earns $15 per hour. How much more does Jacob earn per week from his first job compared to his second job? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "275",
"style": "rule"
}
|
numina_math
|
{
"index": 10267,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Two trains are traveling towards each other from two different cities that are 300 miles apart. Train A is traveling at a speed of 60 miles per hour, and Train B is traveling at a speed of 40 miles per hour. If they start at the same time, how long will it take for the two trains to meet? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "3",
"style": "rule"
}
|
numina_math
|
{
"index": 10268,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A map has a scale of 1 inch representing 20 miles. If the distance between two cities on the map is 3.5 inches, what is the actual distance between the two cities in miles? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "70",
"style": "rule"
}
|
numina_math
|
{
"index": 10269,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a school, 40% of the students are in the science stream and the remaining 60% are in the arts stream. If there are 320 students in the school, how many students are in each stream? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "192",
"style": "rule"
}
|
numina_math
|
{
"index": 10270,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "If the product of a number and 7 is equal to 56, what is the number? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "8",
"style": "rule"
}
|
numina_math
|
{
"index": 10271,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah has 24 marbles in her collection. She has three times as many red marbles as green marbles. The rest of her marbles are blue. If Sarah has 6 blue marbles, how many red marbles does she have? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "12",
"style": "rule"
}
|
numina_math
|
{
"index": 10272,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Malcolm is evaluating two routes to school. In the first route, he walks for 6 minutes uphill, then walks for twice this amount of time along a path, and finally finishes the journey in a third of the total time taken for the first two stages. In the second route, he walks along a flat path for 14 minutes and then finishes the walk in twice this amount of time. How many minutes longer is the second route compared to the first? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "18",
"style": "rule"
}
|
numina_math
|
{
"index": 10273,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "The ages of five siblings are 8, 10, 12, 14, and 16. What is the average age of the siblings if each sibling's age is increased by $2^2$ years? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "16",
"style": "rule"
}
|
numina_math
|
{
"index": 10274,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A store is having a promotional discount where all items are sold at 3/4 of their original price. If a jacket originally costs $120, how much does the jacket cost after the discount? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "90",
"style": "rule"
}
|
numina_math
|
{
"index": 10275,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Lisa earns a monthly salary of $5000. She receives a bonus of 10% of her salary every month. However, she has to pay 20% of her total income (salary + bonus) in taxes. How much money does Lisa have left after paying the taxes? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "4400",
"style": "rule"
}
|
numina_math
|
{
"index": 10276,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Alex spends 45 minutes each weekday on homework and twice as long on weekends. How many minutes does he spend on homework in a month with four weeks? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "1620",
"style": "rule"
}
|
numina_math
|
{
"index": 10277,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A cylindrical water tank has a height of 10 feet and a radius of 3 feet. It is filled with water and used to fill smaller cylindrical containers that have a radius of 1 foot and a height of 2 feet. If the water from the tank is distributed evenly among these smaller containers, how many smaller containers can be filled completely? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "45",
"style": "rule"
}
|
numina_math
|
{
"index": 10278,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A community center has a gym that can accommodate 50 people per session. They charge $10 per person for each session. If the gym is fully booked for 3 sessions a day over a week (7 days), what is the total revenue generated by the gym in that week? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "10500",
"style": "rule"
}
|
numina_math
|
{
"index": 10279,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Liam has a collection of 36 marbles. He buys 24 more marbles and then gives away half of his total collection to his friend. How many marbles does Liam have left after giving away half of his collection? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "30",
"style": "rule"
}
|
numina_math
|
{
"index": 10280,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a classroom, there are 4 rows of desks. Each row has 7 desks. Each desk has 3 drawers. If each drawer contains 5 pencils, how many pencils are there in total? Round your answer to the nearest ten. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "420",
"style": "rule"
}
|
numina_math
|
{
"index": 10281,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A recipe for a cake requires 2/3 cup of sugar for every 1/2 cup of flour. If you want to make a batch using 3 cups of flour, how much sugar will you need? Additionally, if you decide to make another batch using 1/4 of the original amount of flour, how much sugar will you need for this smaller batch? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "1",
"style": "rule"
}
|
numina_math
|
{
"index": 10282,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A square with side length 8 units is inscribed in a circle. A right triangle is formed by connecting one vertex of the square to the center of the circle and then to another vertex of the square. What is the length of the hypotenuse of the right triangle? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "8",
"style": "rule"
}
|
numina_math
|
{
"index": 10283,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Josh has $50. He buys 5 books for $6 each and a magazine for $8. How much money does Josh have left? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "12",
"style": "rule"
}
|
numina_math
|
{
"index": 10284,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a geometry class, the students are asked to convert an angle from degrees to radians and then round the result to the nearest hundredth. If the angle given is 150 degrees, what is the angle in radians rounded to the nearest hundredth? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2.62",
"style": "rule"
}
|
numina_math
|
{
"index": 10285,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A rectangular garden measures 30 meters in length and 20 meters in width. If the cost to put a fence around the garden is $15 per meter, how much will it cost to put a fence around the entire garden? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "1500",
"style": "rule"
}
|
numina_math
|
{
"index": 10286,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A cyclist is training on a circular track that is 1 kilometer in circumference. He starts at point A and rides at a constant speed of 15 kilometers per hour. Another cyclist starts 15 minutes later at point A and rides at a constant speed of 20 kilometers per hour. How long will it take for the second cyclist to catch up to the first cyclist? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "45",
"style": "rule"
}
|
numina_math
|
{
"index": 10287,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "If $\\frac{x+4}{x^2-5x+6} = \\frac{2}{x-2}$, find the value of $x$. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "10",
"style": "rule"
}
|
numina_math
|
{
"index": 10288,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In triangle $\\triangle ABC$, $AB = AC$ and the measure of $\\angle B$ is three times the measure of $\\angle C$. What is the measure of $\\angle A$ in degrees? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "90",
"style": "rule"
}
|
numina_math
|
{
"index": 10289,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a classroom, there are 24 students who are members of the Science Club, 18 students who are members of the Math Club, and 12 students who are members of both clubs. How many students are members of either the Science Club or the Math Club or both? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "30",
"style": "rule"
}
|
numina_math
|
{
"index": 10290,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A store is having a sale where everything is 25% off the original price. If a customer has a coupon for an additional 10% off the sale price, what is the final price of an item originally priced at $80? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "54",
"style": "rule"
}
|
numina_math
|
{
"index": 10291,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Samantha is organizing a charity event where she needs to distribute 240 gift bags evenly among 8 tables. If it takes her 5 minutes to prepare 15 gift bags, how long will it take her to prepare all the gift bags, and how many gift bags will each table receive? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "30",
"style": "rule"
}
|
numina_math
|
{
"index": 10292,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "What is the number that has 4 hundreds, 7 tens, and 3 ones, and what is the result when you subtract 2 tens from this number? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "453",
"style": "rule"
}
|
numina_math
|
{
"index": 10293,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A pair of shoes originally costs $120. After a 15% price increase, a discount of $10 is applied. What is the final price of the shoes? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "128",
"style": "rule"
}
|
numina_math
|
{
"index": 10294,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A car travels from City A to City B, which is 360 kilometers away, at an average speed of 90 kilometers per hour. After a 30-minute rest in City B, the car returns to City A at an average speed of 60 kilometers per hour. Calculate the total time taken for the entire trip, including the rest period. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "10.5",
"style": "rule"
}
|
numina_math
|
{
"index": 10295,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a certain school, the ratio of the number of boys to the number of girls is \\(5:7\\). The total number of students in the school is 360. If 20% of the boys and 10% of the girls are members of the chess club, how many members of the chess club are there? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "51",
"style": "rule"
}
|
numina_math
|
{
"index": 10296,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "How many distinct four-digit numbers are divisible by 3 and have 45 as their last two digits? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "34",
"style": "rule"
}
|
numina_math
|
{
"index": 10297,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Alex is planning a road trip and needs to calculate the average distance he will travel each day. He plans to drive to four different cities over four days. On the first day, he will drive 120 miles, on the second day 150 miles, on the third day 180 miles, and on the fourth day 200 miles. What is the average distance Alex will travel per day? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "162.5",
"style": "rule"
}
|
numina_math
|
{
"index": 10298,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A group of hikers recorded the distances they traveled each day over a week. The distances in miles are as follows: 3.2, 4.5, 5.1, 3.8, 4.0, 5.3, and 3.7. What is the average distance traveled per day? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "4.23",
"style": "rule"
}
|
numina_math
|
{
"index": 10299,
"name": "numina_math",
"split": "train"
}
|
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