prompt
listlengths 1
1
| reward_model
dict | data_source
stringclasses 1
value | extra_info
dict |
|---|---|---|---|
[
{
"content": "Evaluate $\\left\\lceil \\left(3^2 + \\frac{5^2}{2} \\right) \\right\\rceil$. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "22",
"style": "rule"
}
|
numina_math
|
{
"index": 1200,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A delivery truck covers a distance of 150 miles in 3 hours. If the truck maintains the same average speed, how long will it take to cover a distance of 300 kilometers? (Note: 1 mile = 1.60934 kilometers) Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "3.73",
"style": "rule"
}
|
numina_math
|
{
"index": 1201,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A water tank can hold 500 liters of water. If a smaller tank can hold 1/5th of the capacity of the larger tank, how many smaller tanks are needed to fill the larger tank completely? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "5",
"style": "rule"
}
|
numina_math
|
{
"index": 1202,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Solve the equation \\( \\sqrt{3x+4} = 7 \\) for \\( x \\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "15",
"style": "rule"
}
|
numina_math
|
{
"index": 1203,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In 10 years, Tom will be three times as old as he was 5 years ago. How old is Tom now? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "12.5",
"style": "rule"
}
|
numina_math
|
{
"index": 1204,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah is training for a marathon and needs to track her running schedule. She runs 6 miles every morning from Monday to Friday. On weekends, she increases her mileage to 10 miles each day. If it takes her 10 minutes to run a mile, how many hours does Sarah spend running in a week? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "8.33",
"style": "rule"
}
|
numina_math
|
{
"index": 1205,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Simon is picking blueberries to make blueberry pies. He picks 100 blueberries from his own bushes and another 200 blueberries from blueberry bushes growing nearby. If each pie needs 100 blueberries, how many blueberry pies can Simon make? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "3",
"style": "rule"
}
|
numina_math
|
{
"index": 1206,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Ellie and Max are selling lemonade. Ellie sold twice as many glasses as Max. Together, they sold 90 glasses. If each glass of lemonade costs $2, how much money did Ellie and Max make together? How much did Ellie make alone? What percentage of the total earnings did Ellie contribute? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "66.67",
"style": "rule"
}
|
numina_math
|
{
"index": 1207,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Jane is planning to buy a new laptop that costs $1200 before tax. The sales tax rate in her state is 8%. She also has a coupon that gives her a discount of $150 on the laptop's pre-tax price. How much will she pay for the laptop after applying the discount and including the sales tax? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "1134",
"style": "rule"
}
|
numina_math
|
{
"index": 1208,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A scale model of a building is created using a scale of 1:50. If the height of the actual building is 200 feet, what is the height of the scale model in inches? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "48",
"style": "rule"
}
|
numina_math
|
{
"index": 1209,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A researcher is analyzing the relationship between hours studied and test scores for a group of students. The linear regression equation that models this relationship is \\( y = 2x + 50 \\), where \\( y \\) represents the test score and \\( x \\) represents the hours studied. If a student studied for 5 hours, what test score can they expect to achieve? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "60",
"style": "rule"
}
|
numina_math
|
{
"index": 1210,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A farmer has three types of fruit trees: apple trees, orange trees, and pear trees. He plants the trees in rows such that each row contains an equal number of trees, and each row has only one type of tree. If he plants 36 apple trees, 48 orange trees, and 60 pear trees, what is the largest number of trees that can be in each row? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "12",
"style": "rule"
}
|
numina_math
|
{
"index": 1211,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A charity event raised $1,200 and decided to distribute the total amount among three different causes: education, healthcare, and housing. The ratio of the distribution is 3:2:1, respectively. After allocating the amounts based on the ratio, the education cause receives an additional 10% donation. How much money in total does the education cause receive? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "660",
"style": "rule"
}
|
numina_math
|
{
"index": 1212,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Maria wants to buy gifts for her 5 friends. She decides to buy each friend a scarf that costs $12.50. Additionally, she buys a gift bag for each scarf, costing $1.75 per bag. Maria also pays $4.85 in total for tax. After purchasing the gifts, she has $10.15 left. How much money did Maria start with? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "86.25",
"style": "rule"
}
|
numina_math
|
{
"index": 1213,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Two trains are traveling towards each other on parallel tracks. Train A is moving at a speed of 60 km/h, and Train B is moving at a speed of 90 km/h. They start from points that are 450 km apart. 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": 1214,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A car's fuel efficiency is 30 miles per gallon, and it has a fuel tank that can hold 12 gallons of gasoline. If the car starts with a full tank and drives at an average speed of 60 miles per hour, how long will it take for the car to empty its fuel tank? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "6",
"style": "rule"
}
|
numina_math
|
{
"index": 1215,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "David is planning a road trip. His car can travel 25 miles per gallon, and the gas tank holds 18 gallons. If gas costs $3.50 per gallon, how much will he spend on gas to complete a 400-mile trip? How much gas will he have left in the tank at the end of the trip? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2",
"style": "rule"
}
|
numina_math
|
{
"index": 1216,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah needs to manage her study time efficiently. She plans to study for 4 hours every day. She dedicates 30% of her study time to mathematics, 40% to science, and the remaining time to literature. On Monday, she realizes she has a 20% discount coupon for a book she needs to buy, which originally costs $50. After buying the book, she wants to calculate how much time she has left for literature if she spends an additional 15 minutes shopping. How much time does Sarah have left for literature on Monday? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "57",
"style": "rule"
}
|
numina_math
|
{
"index": 1217,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Solve the system of equations:\n\\[ \\frac{1}{3}x + \\frac{1}{4}y = 5 \\]\n\\[ \\frac{1}{2}x - \\frac{1}{6}y = 3 \\] Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "8.31",
"style": "rule"
}
|
numina_math
|
{
"index": 1218,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a class of 36 students, each student answered two questions. Among them, 23 students answered the first question correctly, and 25 students answered the second question correctly. If 14 students answered both questions incorrectly, how many students answered at least one of the questions correctly? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "22",
"style": "rule"
}
|
numina_math
|
{
"index": 1219,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah earns a commission of 10% on all sales she makes. In January, she made sales worth $2000. In February, her sales increased by 25% compared to January. In March, her sales increased by an additional 20% compared to February. What was her total commission for the first three months? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "750",
"style": "rule"
}
|
numina_math
|
{
"index": 1220,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A school is organizing a charity bake sale. In preparation, 5 students each bake 15 muffins, and another group of 3 students each bake 10 muffins. Additionally, a teacher bakes 25 muffins. How many muffins are there in total for the bake sale? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "130",
"style": "rule"
}
|
numina_math
|
{
"index": 1221,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A number \\( P \\) is a product of three integers: \\( P = 2^3 \\times 3^2 \\times 5 \\). Let \\( Q \\) be the smallest positive integer such that \\( PQ \\) is a perfect square. What is \\( Q \\)? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "10",
"style": "rule"
}
|
numina_math
|
{
"index": 1222,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "The ratio of the number of boys to girls in a school is 3:4. If there are 210 boys, how many girls are there in the school? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "280",
"style": "rule"
}
|
numina_math
|
{
"index": 1223,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Given the polynomial \\( P(x) = x^3 + ax^2 + bx + c \\), suppose that it can be written as the product of two polynomials \\( Q(x) \\) and \\( R(x) \\), where \\( Q(x) = x - 2 \\) and \\( R(x) = d x^2 + e x + f \\). Find the coefficients \\( a \\), \\( b \\), and \\( c \\) by equating the polynomial coefficients. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "a=e-2b=f-2ec=-2f",
"style": "rule"
}
|
numina_math
|
{
"index": 1224,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Convert the base four number \\( 3212_4 \\) to its base ten equivalent and then find the difference between this number and its square root. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "214.84",
"style": "rule"
}
|
numina_math
|
{
"index": 1225,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a music store, 1/3 of the total number of instruments are guitars, and 1/4 of the guitars are electric guitars. If there are 15 electric guitars, how many instruments are there in total in the store? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "180",
"style": "rule"
}
|
numina_math
|
{
"index": 1226,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Evaluate \\(\\lfloor \\sqrt{78} \\rfloor\\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "8",
"style": "rule"
}
|
numina_math
|
{
"index": 1227,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A recipe requires twice as much flour as sugar. If a baker uses 6 cups of sugar, how many cups of flour does the baker need? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "12",
"style": "rule"
}
|
numina_math
|
{
"index": 1228,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A delivery service charges a base fee of $5 for any delivery within the city. Additionally, they charge $0.50 per mile for the distance traveled. If a customer needs a package delivered to a location that is 15 miles away and expects the package to be delivered back to them (round trip), how much will the customer be charged in total? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "20",
"style": "rule"
}
|
numina_math
|
{
"index": 1229,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Consider a triangle $\\triangle ABC$ with integer side lengths. If one side of the triangle is 5 and another side is 7, how many different possible integer values can the third side have to ensure the triangle inequality theorem is satisfied? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "9",
"style": "rule"
}
|
numina_math
|
{
"index": 1230,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah is training for a marathon and wants to track her progress. She runs at an average speed of 8 kilometers per hour. If she wants to run a total of 100 kilometers this week, how many hours does she need to run each day if she plans to run the same amount every day for 5 days? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2.5",
"style": "rule"
}
|
numina_math
|
{
"index": 1231,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A train travels at a constant speed of 60 miles per hour. If it takes 5 hours to reach its destination, how long would it take for the train to travel the same distance at a speed of 75 miles per hour? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "4",
"style": "rule"
}
|
numina_math
|
{
"index": 1232,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A polynomial \\( P(x) \\) has integer roots, and \\( P(x) = x^3 - 6x^2 + 11x - 6 \\). One of its roots is closest to the line \\( y = x \\). Identify the root and calculate the distance from this root to the line \\( y = x \\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "1",
"style": "rule"
}
|
numina_math
|
{
"index": 1233,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A rectangular garden has an area of \\( \\frac{15}{2} \\) square meters. If the width of the garden is \\( \\frac{3}{2} \\) meters, what is the length of the garden? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "5",
"style": "rule"
}
|
numina_math
|
{
"index": 1234,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Alex has a collection of 120 marbles. He decides to give 25% of his marbles to his friend, Ben. Ben then loses 10 marbles and gives away 15% of the remaining marbles to his sister. How many marbles does Ben have left? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "17",
"style": "rule"
}
|
numina_math
|
{
"index": 1235,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A store is having a sale where all items are discounted by 25%. If a shirt originally costs $80, what is the sale price of the shirt after the discount? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "60",
"style": "rule"
}
|
numina_math
|
{
"index": 1236,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "James runs a small business selling handcrafted candles. He sells each candle for $12. His production cost per candle is $5, and he has fixed monthly costs of $200. If he sold 150 candles in a month, what was his total profit for that month? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "850",
"style": "rule"
}
|
numina_math
|
{
"index": 1237,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Given the polynomial function \\( f(x) = x^3 - 4x^2 + x - 4 \\), find the derivative \\( f'(x) \\) and then evaluate \\( f'(2) \\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "-3",
"style": "rule"
}
|
numina_math
|
{
"index": 1238,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "During a special promotion, a store offers a discount of 20% on all items. Emma bought a jacket during this promotion for only $60. What was the original price of the jacket before the discount? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "75",
"style": "rule"
}
|
numina_math
|
{
"index": 1239,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "The price of a laptop was increased by 20%, bringing the new price to $900. What was the original price of the laptop before the increase? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "750",
"style": "rule"
}
|
numina_math
|
{
"index": 1240,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Samantha has a collection of 240 coins, where 1/4 of them are dimes and the rest are nickels. If she gives away 30 dimes, how many nickels does she have left? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "180",
"style": "rule"
}
|
numina_math
|
{
"index": 1241,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A rectangular garden has a perimeter of 144 meters. The length of the garden is 20 meters more than its width. What are the dimensions of the garden, and what is the area of the garden? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "1196",
"style": "rule"
}
|
numina_math
|
{
"index": 1242,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Consider a sequence defined by \\(a_n = 3a_{n-1} - 2a_{n-2}\\) with initial terms \\(a_1 = 2\\) and \\(a_2 = 5\\). Find the value of \\(a_5\\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "47",
"style": "rule"
}
|
numina_math
|
{
"index": 1243,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A company surveyed 100 employees to find out how many use three different types of software: A, B, and C. The results were as follows:\n- 40 employees use software A.\n- 50 employees use software B.\n- 30 employees use software C.\n- 15 employees use both software A and B.\n- 10 employees use both software A and C.\n- 5 employees use both software B and C.\n- 3 employees use all three software A, B, and C.\n\nUsing the Inclusion-Exclusion Principle, determine how many employees do not use any of these software. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "7",
"style": "rule"
}
|
numina_math
|
{
"index": 1244,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Lisa is organizing a book drive. She has already collected 1/3 of the goal of 120 books. If she plans to collect the remaining books equally over the next 4 weeks, how many books does she need to collect each week? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "20",
"style": "rule"
}
|
numina_math
|
{
"index": 1245,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah is training for a marathon and runs 9 miles every 45 minutes. Her friend, Emily, runs 5 kilometers every 20 minutes. Who runs at a faster pace, and by how much? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2.679",
"style": "rule"
}
|
numina_math
|
{
"index": 1246,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Jenna works two part-time jobs. At her first job, she earns $15 per hour, and at her second job, she earns $20 per hour. Last week, she worked a total of 25 hours and earned $460. How many hours did she work at each job? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "17",
"style": "rule"
}
|
numina_math
|
{
"index": 1247,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "John has a square garden, and he wants to add a walkway around it that is 2 feet wide. The total area of the garden and the walkway is 196 square feet. Find the length of one side of the garden. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "10",
"style": "rule"
}
|
numina_math
|
{
"index": 1248,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Simplify the expression $\\frac{150}{45} \\times \\frac{27}{18}$ and then convert the resulting fraction to a mixed number if necessary. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "5",
"style": "rule"
}
|
numina_math
|
{
"index": 1249,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A factory produces 240 widgets in 8 hours. If the factory increases its production rate by 25%, how many widgets will it produce in 10 hours? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "375",
"style": "rule"
}
|
numina_math
|
{
"index": 1250,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a park, there are 400 birds consisting of parrots and sparrows. There are three times as many sparrows as parrots. Half of the parrots are green, and one-third of the sparrows are brown. How many more green parrots are there than brown sparrows? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "50",
"style": "rule"
}
|
numina_math
|
{
"index": 1251,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Consider the polynomial \\( P(x) = x^4 - 6x^3 + 11x^2 - 6x + k \\). For some complex number \\( r \\), \\( P(x) \\) is divisible by \\( (x - r)^2 \\). Find the value of \\( k \\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "0",
"style": "rule"
}
|
numina_math
|
{
"index": 1252,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A recipe calls for 2/3 cup of sugar for every 1/2 cup of flour. If you want to make a batch of cookies using 3 cups of flour, how many cups of sugar do you need? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "4",
"style": "rule"
}
|
numina_math
|
{
"index": 1253,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Two workers, Alex and Ben, can complete a certain task together in 6 hours. Alex can complete the task alone in 10 hours. How long will it take Ben to complete the same task alone? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "15",
"style": "rule"
}
|
numina_math
|
{
"index": 1254,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A small bakery has to cover a fixed monthly rent of $1500 and an additional cost of $0.50 for each pastry they bake. Each pastry is sold for $2.00. What is the minimum number of pastries they need to sell each month to make a profit? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "1001",
"style": "rule"
}
|
numina_math
|
{
"index": 1255,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Find the distance between the points $(3, 4)$ and $(7, 1)$. Express your answer in simplest radical form. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "5",
"style": "rule"
}
|
numina_math
|
{
"index": 1256,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "At a local bookstore, the price of 2 fiction books is the same as the price of 3 non-fiction books. Additionally, the price of 5 non-fiction books is the same as the price of 4 mystery books. If the price of a mystery book is $15, what is the price of a fiction book? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "18",
"style": "rule"
}
|
numina_math
|
{
"index": 1257,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A swimming pool is being filled with water using a hose. The pool has a volume of 15,000 liters and the water flow rate from the hose is 250 liters per hour. If the cost to fill the pool is $0.02 per liter, how much will it cost to fill the pool completely? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "300",
"style": "rule"
}
|
numina_math
|
{
"index": 1258,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A subscription service charges $20 per month and offers a 15% discount for an annual subscription paid upfront. How much does it cost to pay for the subscription annually with the discount applied? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "204",
"style": "rule"
}
|
numina_math
|
{
"index": 1259,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A catering company is preparing fruit salads for a large event. Each fruit salad serving requires 150 ml of fruit puree. They have a large container that holds 3 liters of fruit puree. After preparing the salads, they decide to add 50 ml of cream to each serving. How many servings of fruit salad with cream can they make? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "20",
"style": "rule"
}
|
numina_math
|
{
"index": 1260,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A bookstore sells a particular edition of a book for $25. They are running a promotional discount of 15% off. If a customer wants to buy 5 copies of the book, estimate the total cost after the discount, and then calculate the exact total cost. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "106.25",
"style": "rule"
}
|
numina_math
|
{
"index": 1261,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a factory, 35% of the workers are women. If there are 280 women working in the factory, how many workers are there in total? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "800",
"style": "rule"
}
|
numina_math
|
{
"index": 1262,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "How many 4-digit numbers greater than 2000 can be formed using the digits 1, 2, 3, and 4 without repetition? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "18",
"style": "rule"
}
|
numina_math
|
{
"index": 1263,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A cyclist rides at a constant speed of 20 kilometers per hour. If the cyclist rides for 150 minutes, how many kilometers does the cyclist travel? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "50",
"style": "rule"
}
|
numina_math
|
{
"index": 1264,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a school of 600 students, 30% of the students are involved in sports. Of those involved in sports, 50% are also part of the music club. What percentage of the entire student body is involved in both sports and the music club? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "15",
"style": "rule"
}
|
numina_math
|
{
"index": 1265,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Stefan, Vail, and Aiguo collected seashells. Stefan had 12 more seashells than Vail. Vail had 7 fewer than Aiguo. Aiguo had 25 seashells. How many seashells did the three children have in total? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "73",
"style": "rule"
}
|
numina_math
|
{
"index": 1266,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "The sum of the volumes of three rectangular solids is 216 cubic units, 150 cubic units, and 234 cubic units, respectively. If the mean volume of these three solids is equal to a number whose factors sum up to 7, what is the mean volume? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "200",
"style": "rule"
}
|
numina_math
|
{
"index": 1267,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "What is the smallest positive integer \\( n \\) such that \\( n \\) is divisible by both 15 and 24? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "120",
"style": "rule"
}
|
numina_math
|
{
"index": 1268,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Given the polynomial \\( p(x) = x^3 + 3x^2 - 4x - 12 \\), identify the coefficient of \\( x^2 \\) in the polynomial formed by the sum of \\( p(x) \\) and its derivative \\( p'(x) \\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "6",
"style": "rule"
}
|
numina_math
|
{
"index": 1269,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Alex loves collecting rare coins. He started with a collection of 10 coins. Each month, he manages to double his collection. After the fourth month, he decides to gift 20% of his collection to his friend. How many coins does Alex have left after gifting some to his friend? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "128",
"style": "rule"
}
|
numina_math
|
{
"index": 1270,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Simplify \n\\[ \\left( \\frac{1 + i \\sqrt{3}}{1 - i \\sqrt{3}} \\right)^{12}. \\] Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "1",
"style": "rule"
}
|
numina_math
|
{
"index": 1271,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A company has five employees with the following annual salaries: $45,000, $50,000, $55,000, $60,000, and $65,000. The company decides to give a 10% bonus to each employee. What is the new average salary after the bonus? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "60500",
"style": "rule"
}
|
numina_math
|
{
"index": 1272,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Jane is buying supplies for a school project. She needs 5 packs of markers and 3 packs of colored paper. Each pack of markers costs $7, and each pack of colored paper costs $4 more than a pack of markers. How much does she spend in total on her supplies? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "68",
"style": "rule"
}
|
numina_math
|
{
"index": 1273,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Eddie is planning his reading schedule for a new book. He plans to read an average of 22 pages per day for the first five days and 30 pages on the sixth day. How many pages in total does Eddie plan to read over these six days? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "140",
"style": "rule"
}
|
numina_math
|
{
"index": 1274,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A number multiplied by its smallest factor is 24. What is the number? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "12",
"style": "rule"
}
|
numina_math
|
{
"index": 1275,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A charity organization received a donation of $2,000. They decided to distribute this amount equally among 8 local shelters. After distributing the funds, they realized they needed to keep $300 for administrative costs. How much money did each shelter actually receive? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "212.5",
"style": "rule"
}
|
numina_math
|
{
"index": 1276,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Consider the expansion of \\((2x + 3)^8\\) using the binomial theorem. What is the coefficient of the term \\(x^4\\) in this expansion? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "90720",
"style": "rule"
}
|
numina_math
|
{
"index": 1277,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Using the digits 2, 4, 5, 6, 8, how many five-digit numbers divisible by 4 can be formed if each digit can be used more than once? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "1875",
"style": "rule"
}
|
numina_math
|
{
"index": 1278,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Amelia has a jar of marbles. She gives away $\\frac{3}{5}$ of her marbles to her friend and then spends $\\frac{1}{4}$ of the remaining marbles on a game. If she has 18 marbles left after playing the game, how many marbles did Amelia originally have? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "60",
"style": "rule"
}
|
numina_math
|
{
"index": 1279,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A gas cylinder contains 10 liters of gas at 2 atmospheres of pressure and 300 Kelvin temperature. According to the ideal gas law (PV = nRT), if the temperature of the gas is increased to 450 Kelvin while keeping the volume constant, what will be the new pressure of the gas? Use R = 0.0821 L·atm/(K·mol) and assume the number of moles of gas remains constant. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "3",
"style": "rule"
}
|
numina_math
|
{
"index": 1280,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In the diagram below, $\\triangle ABC$ is isosceles with $AC = BC$. Point $D$ is on segment $AB$ such that $AD = DB$. If $m\\angle ACD = 30^\\circ$ and $AC = 10$, what is the distance from point $C$ to $D$? Express your answer to the nearest hundredth.\n\n[asy]\npair A,B,C,D;\nA = (0,0); B = (8,0); C = (4,6.928);\nD = (4,0);\n\ndraw(A--B--C--cycle);\ndraw(C--D);\n\nlabel(\"$A$\", A, SW);\nlabel(\"$B$\", B, SE);\nlabel(\"$C$\", C, N);\nlabel(\"$D$\", D, S);\n[/asy] Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "8.66",
"style": "rule"
}
|
numina_math
|
{
"index": 1281,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A recipe calls for 3 parts sugar and 5 parts flour. If you need a total of 40 cups of the mixture, how many cups of sugar and how many cups of flour will you need? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "25",
"style": "rule"
}
|
numina_math
|
{
"index": 1282,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah is a professional pet groomer. She takes 1.5 hours to groom a large dog and 0.75 hours to groom a small dog. In one day, she grooms 4 large dogs and 6 small dogs. How many minutes does she spend grooming in total? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "630",
"style": "rule"
}
|
numina_math
|
{
"index": 1283,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "If \\( f(x) = 3x^2 - 5x + 2 \\), find \\( f(4) \\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "30",
"style": "rule"
}
|
numina_math
|
{
"index": 1284,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "During a soccer match, The Kickers scored 2 goals in the first period and twice that amount in the second period. The other team, The Spiders, scored half the amount that The Kickers scored in the first period and twice the amount that The Kickers scored in their second period. What is the total amount of goals both teams scored? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "15",
"style": "rule"
}
|
numina_math
|
{
"index": 1285,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A craft shop sells custom-made gift baskets. Each basket contains 4 types of items: chocolates, candles, flowers, and toys. They sell the baskets in two sizes: small and large. A small basket contains 3 chocolates, 2 candles, 5 flowers, and 4 toys, and sells for $20. A large basket contains 5 chocolates, 4 candles, 8 flowers, and 6 toys, and sells for $35. If the shop sells 15 small baskets and 10 large baskets, how much revenue do they earn in total? Additionally, how many items in total did the shop use to make all the baskets? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "440",
"style": "rule"
}
|
numina_math
|
{
"index": 1286,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A company has 1,200 employees. Out of these, 3/5 are in the sales department, and the rest are in the engineering department. During a company event, 20% of the sales department employees and 25% of the engineering department employees were given awards. How many employees received awards? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "264",
"style": "rule"
}
|
numina_math
|
{
"index": 1287,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A marathon race is 42 kilometers long. A runner has completed 3/7 of the distance. How many more kilometers does the runner need to finish the race? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "24",
"style": "rule"
}
|
numina_math
|
{
"index": 1288,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Five years ago, the sum of Sebastian's age and his sister's age was three-fourths of their father's age. How old is their father today if Sebastian is 40 years old and 10 years older than his sister? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "85",
"style": "rule"
}
|
numina_math
|
{
"index": 1289,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Emma wants to buy 3 books and each book costs $12. She also needs to buy a bookshelf that costs $45. If she has $100, how much money will she have left after making her purchases? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "19",
"style": "rule"
}
|
numina_math
|
{
"index": 1290,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Emma is three times as old as her younger brother, Josh. Four years ago, Emma was five times as old as Josh was at that time. How old are Emma and Josh now? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "8",
"style": "rule"
}
|
numina_math
|
{
"index": 1291,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah is planning a road trip that covers a total distance of 600 miles. Her car has a fuel efficiency of 25 miles per gallon. If she starts the trip with a full tank of 15 gallons and refuels with an additional 10 gallons during the trip, how many gallons of fuel will she have left at the end of the trip? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "1",
"style": "rule"
}
|
numina_math
|
{
"index": 1292,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Two workers, A and B, are hired to paint a circular fence. Worker A can paint the entire circular fence alone in 6 hours, while worker B can paint it alone in 4 hours. If the radius of the fence is 10 meters and they start painting together from the same point on the circumference, how long will it take for them to meet back at the starting point after painting the entire circumference of the fence? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2.4",
"style": "rule"
}
|
numina_math
|
{
"index": 1293,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Maria has $4800. She wants to convert her money into euros. The exchange rate is 1 euro = 1.2 dollars. After converting her money, she plans to spend 1500 euros on a vacation. How much money in euros will she have left after her vacation? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2500",
"style": "rule"
}
|
numina_math
|
{
"index": 1294,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a school, there are 10 students who are participating in a debate competition. Each student is to be paired with another student exactly once for practice sessions. How many unique pairs can be formed? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "45",
"style": "rule"
}
|
numina_math
|
{
"index": 1295,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Jenny is twice as old as her younger brother, Tim. In 5 years, Jenny will be 3 times as old as Tim was 2 years ago. How old is Jenny now? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "22",
"style": "rule"
}
|
numina_math
|
{
"index": 1296,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A car travels from City A to City B. If it travels at 60 kilometers per hour, it arrives 30 minutes early compared to the expected arrival time. If it travels at 40 kilometers per hour, it arrives 30 minutes late compared to the expected arrival time. What is the distance between City A and City B? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "120",
"style": "rule"
}
|
numina_math
|
{
"index": 1297,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "When a number \\( N \\) is divided by 7, the quotient is 9 and the remainder is 5. What is the value of \\( N \\)? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "68",
"style": "rule"
}
|
numina_math
|
{
"index": 1298,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "How many different ways can the numbers from 1 to 16 be arranged in a 4x4 grid such that no row or column contains more than one perfect square? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "4311014400",
"style": "rule"
}
|
numina_math
|
{
"index": 1299,
"name": "numina_math",
"split": "train"
}
|
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