prompt
listlengths 1
1
| reward_model
dict | data_source
stringclasses 1
value | extra_info
dict |
|---|---|---|---|
[
{
"content": "Megan and Sue are saving money to buy a gift. Megan has $5.75, and Sue has $3.50. They still need $4.75 to buy the gift. How much does the gift cost? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "14.00",
"style": "rule"
}
|
numina_math
|
{
"index": 9800,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Find the x-intercept of the line represented by the equation \\(3y = 2x + 6\\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "-3",
"style": "rule"
}
|
numina_math
|
{
"index": 9801,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a networking event, there are 10 people. Each person shakes hands with every other person exactly once. If a certain pair of people (say Alice and Bob) refuse to shake hands with each other, how many handshakes occur in total? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "44",
"style": "rule"
}
|
numina_math
|
{
"index": 9802,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In 5 years, Sarah's age will be twice what it was 10 years ago. If Sarah is currently 25 years old, how old is she now? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "25",
"style": "rule"
}
|
numina_math
|
{
"index": 9803,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Solve for \\(x\\) in the equation \\(\\sqrt{x + 6} - \\sqrt{x - 2} = 2\\). Express your answer as a fraction and then convert it to a percentage. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "300",
"style": "rule"
}
|
numina_math
|
{
"index": 9804,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Alex is preparing for his exams and wants to allocate his study time efficiently. He has 5 subjects to study: Math, English, Science, History, and Geography. He plans to study for a total of 15 hours over the weekend. If he wants to spend an equal amount of time on each subject, how many minutes should he allocate to each subject? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "180",
"style": "rule"
}
|
numina_math
|
{
"index": 9805,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a school, there are 4 different extracurricular clubs: Music, Art, Sports, and Science. Each club has 5 members, and no student is in more than one club. If the school decides to form a committee of 3 members such that each member is from a different club, how many different committees can be formed? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "500",
"style": "rule"
}
|
numina_math
|
{
"index": 9806,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "At a farmer's market, a vendor sells apples and oranges. The price of one apple is three times the price of one orange. If the total cost of buying 5 apples and 7 oranges is $65, what is the price of one apple? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "8.85",
"style": "rule"
}
|
numina_math
|
{
"index": 9807,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Jenny has $7$ dollars. Sarah has twice as much money as Jenny. Alex has three times as much money as Jenny. How much money do they have altogether? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "42",
"style": "rule"
}
|
numina_math
|
{
"index": 9808,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A rectangular garden has a fixed perimeter of 60 meters. What are the dimensions of the garden that maximize the area, and what is the maximum area? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "225",
"style": "rule"
}
|
numina_math
|
{
"index": 9809,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A recipe requires 250 grams of flour to make 10 cookies. If you have 2.5 kilograms of flour, how many cookies can you make? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "100",
"style": "rule"
}
|
numina_math
|
{
"index": 9810,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "If \\(\\frac{1}{2}\\sqrt{8} + \\sqrt{18} = \\sqrt{k}\\), what is the value of \\(k\\)? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "32",
"style": "rule"
}
|
numina_math
|
{
"index": 9811,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah's grandparents deposited $1500 into a savings account that grows at an annual interest rate of 4% compounded annually. How much money will be in the account when Sarah turns 21? Round your answer to the nearest hundredth. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "3378.28",
"style": "rule"
}
|
numina_math
|
{
"index": 9812,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "John bought 5 notebooks and 3 pens. Each notebook costs $4, and the total cost for the notebooks and pens was $29. How much does each pen cost? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "3",
"style": "rule"
}
|
numina_math
|
{
"index": 9813,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A farmer is planting three types of crops: corn, wheat, and soybeans. He plants twice as many acres of corn as he does wheat, and three times as many acres of soybeans as he does wheat. If the total acreage planted is 240 acres, how many acres of each type of crop did the farmer plant? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "120",
"style": "rule"
}
|
numina_math
|
{
"index": 9814,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In an isosceles triangle $ABC$ with $AB = AC$, $D$ is the foot of the altitude from $A$ to $BC$. If $\\angle BAC = 40^\\circ$, find the measure of $\\angle BDC$. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "140",
"style": "rule"
}
|
numina_math
|
{
"index": 9815,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "What is the remainder when \\(2^{50}\\) is divided by 19? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "6",
"style": "rule"
}
|
numina_math
|
{
"index": 9816,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Jim has a subscription to three different streaming services. Each service charges a monthly fee: $15 for Service A, $10 for Service B, and $20 for Service C. Jim receives a 10% discount on Service A and a 5% discount on Service B if he pays for a year upfront. How much will Jim spend in total for a year on all three services if he takes advantage of these discounts? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "516",
"style": "rule"
}
|
numina_math
|
{
"index": 9817,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Find the smallest positive integer \\( n \\) such that \\( n \\) leaves a remainder of 4 when divided by 7, and the sum of the digits of \\( n \\) is divisible by 5. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "32",
"style": "rule"
}
|
numina_math
|
{
"index": 9818,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "The following table represents the number of books read by each student in a class over the past year. Calculate the total number of books read by all students and identify the mode of the data set. \n\n\\[\n\\begin{array}{c|llll}\n\\multicolumn{5}{c}{\\underline{Number of Books Read}}\\\\\n1 & 2 & 2 & & \\\\\n2 & 5 & 5 & 5 & 5\\\\\n3 & 8 & 8 & 8 & 8\\\\\n4 & 9 & 9 & 9 & 9\\\\\n\\end{array}\n\\] Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "5",
"style": "rule"
}
|
numina_math
|
{
"index": 9819,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "For what value of $x$ is the expression $\\log\\left(\\frac{2x^3 + 3}{x^2 - 6x + 9}\\right)$ not defined? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "3",
"style": "rule"
}
|
numina_math
|
{
"index": 9820,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah is training for a marathon and decides to run at a constant speed of 8 miles per hour. She plans to run from her house to a park that is 16 miles away and then immediately run back home. How many minutes will it take Sarah to complete her round trip? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "240",
"style": "rule"
}
|
numina_math
|
{
"index": 9821,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A team of workers needs to paint a circular mural on a wall. The diameter of the mural is 10 meters. If the team can paint at a rate of 5 square meters per hour, how many hours will it take to paint the entire mural? Additionally, if the team wants to divide the work evenly over 4 days, how many hours per day should they work? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "3.925",
"style": "rule"
}
|
numina_math
|
{
"index": 9822,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Fabian decided to go on a long-distance run of 42 kilometers. He ran 1/4 of the distance on the first day and 1/3 of the remaining distance on the second day. How many more kilometers does Fabian need to run to complete his goal? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "21",
"style": "rule"
}
|
numina_math
|
{
"index": 9823,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A cyclist travels from town A to town B at a constant speed of 20 miles per hour. On the return trip from town B to town A, he increases his speed by 10 miles per hour and makes the trip in 2 hours less than the trip from A to B. If the total round trip distance is 180 miles, what is the distance between town A and town B? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "120",
"style": "rule"
}
|
numina_math
|
{
"index": 9824,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Emma and Jack are selling handmade crafts at a local fair. Emma sold 15 items for $7 each and Jack sold 20 items for $5 each. After the fair, they decide to pool their earnings together. How much money did they make in total? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "205",
"style": "rule"
}
|
numina_math
|
{
"index": 9825,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A school cafeteria needs to evenly distribute 200 apples among 25 classes. How many apples will each class receive? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "8",
"style": "rule"
}
|
numina_math
|
{
"index": 9826,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a fruit basket, there are 15 apples and 10 oranges. The number of bananas is twice the total number of apples and oranges. How many bananas are there in the basket? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "50",
"style": "rule"
}
|
numina_math
|
{
"index": 9827,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a school, students are divided into four different houses: Red, Blue, Green, and Yellow. The Red house has 25% of the total students, the Blue house has 30% of the total students, the Green house has 20% of the total students, and the Yellow house has the remaining students. If there are 120 students in the Yellow house, how many students are there in total in the school? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "480",
"style": "rule"
}
|
numina_math
|
{
"index": 9828,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a school, there are 36 students who are proficient in Python, which represents 3/5 of the total number of students proficient in Java. How many students are proficient in Java? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "60",
"style": "rule"
}
|
numina_math
|
{
"index": 9829,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Emily is traveling to a conference. She drives the first leg of her trip at a speed of \\(3y + 2\\) miles per hour for 2 hours. After a 30-minute break, she continues her journey on a train traveling \\(y\\) miles per hour for 3 hours. If the total distance she traveled is 220 miles, what is the speed of the train? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "24",
"style": "rule"
}
|
numina_math
|
{
"index": 9830,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Alice wants to save money to buy a new laptop that costs $1,200. She decides to save $150 every month. Additionally, she plans to save an extra $50 for every $300 she already saves. How many months will it take Alice to save enough money to buy the laptop? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "8",
"style": "rule"
}
|
numina_math
|
{
"index": 9831,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Consider the circle given by the equation \\(x^2 + y^2 - 6x + 8y = 0\\). After transforming this equation to the standard form, find the sum of the coordinates of the center of the circle. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "-1",
"style": "rule"
}
|
numina_math
|
{
"index": 9832,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a school, there are 500 students. 40% of the students are boys, and the remaining are girls. If 30% of the girls play soccer, how many girls in the school do not play soccer? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "210",
"style": "rule"
}
|
numina_math
|
{
"index": 9833,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A small business started with 200 customers in January. By March, the number of customers increased to 260. In June, the number of customers increased again by 20% from March. How many customers did the business have in June? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "312",
"style": "rule"
}
|
numina_math
|
{
"index": 9834,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a small town, a vampire and a werewolf are causing trouble. The vampire drains blood from 4 people each week, while the werewolf consumes 6 people each week, but only fresh ones, never those already drained by the vampire. If the town has 84 people, how many weeks will the town last before both the vampire and the werewolf run out of people? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "8",
"style": "rule"
}
|
numina_math
|
{
"index": 9835,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In $\\triangle ABC$, $\\angle ABC = \\angle ACB$ and $\\angle BAC$ is obtuse. If $\\angle BAC = 120^\\circ$, what is the measure of $\\angle ABC$? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "30",
"style": "rule"
}
|
numina_math
|
{
"index": 9836,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A recipe requires 4 cups of flour for every 3 cups of sugar. If you want to make a batch using 18 cups of sugar, how many cups of flour will you need? Additionally, if you find that you only have 20 cups of flour, can you make the batch with the available flour? If not, how many more cups of flour 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": 9837,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A farmer wants to divide his 120-acre farm between planting wheat and corn. He decides to plant 40% of the farm with wheat and the rest with corn. The ratio of the amount of fertilizer needed per acre for wheat to corn is 3:2. If the farmer needs 360 units of fertilizer for the wheat, how many units of fertilizer does he need for the corn? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "360",
"style": "rule"
}
|
numina_math
|
{
"index": 9838,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A ladder is leaning against a wall such that the distance from the base of the ladder to the wall is 6 feet, and the ladder reaches a height of 8 feet up the wall. What is the length of the ladder? Express your answer as a decimal rounded to the nearest tenth. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "10.0",
"style": "rule"
}
|
numina_math
|
{
"index": 9839,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Anna's grandmother is 72 years old. Anna's age is 1/6 of her grandmother's age plus 3 years. How old is Anna? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "15",
"style": "rule"
}
|
numina_math
|
{
"index": 9840,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a school, there are 120 students. 70 students participate in the Science Club, and 80 students participate in the Math Club. If three times as many students participate in both clubs as those who participate in neither, how many students participate only in the Science Club? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "25",
"style": "rule"
}
|
numina_math
|
{
"index": 9841,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A square has a side length of 100 cm. If the side length is increased by 25% and then decreased by 10%, what is the final side length of the square in centimeters? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "112.5",
"style": "rule"
}
|
numina_math
|
{
"index": 9842,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Emma has a part-time job where she earns $12 per hour. She works 5 hours a day, 3 days a week. She plans to save all her earnings for a new laptop that costs $720. How many weeks will it take Emma to save enough money to buy the laptop? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "4",
"style": "rule"
}
|
numina_math
|
{
"index": 9843,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Alex is planning to read a 720-page novel. He reads 15 pages each day, and there are 495 pages left for him to read. How many days has Alex been reading? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "15",
"style": "rule"
}
|
numina_math
|
{
"index": 9844,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Consider a geometric sequence where the first term is 1024, and the common ratio is \\(\\frac{1}{2}\\). If the sequence continues indefinitely, find the term number \\(n\\) at which the term first becomes less than 1. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "12",
"style": "rule"
}
|
numina_math
|
{
"index": 9845,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Jay and Paul start walking in opposite directions after having lunch together. Jay walks 0.75 miles every 15 minutes, while Paul power walks 2.5 miles every 30 minutes. How far apart will they be after 1.5 hours? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "12",
"style": "rule"
}
|
numina_math
|
{
"index": 9846,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A factory produces gadgets at a constant rate of 50 gadgets per hour. If the factory increases its production rate by 20%, how many hours will it take to produce 720 gadgets? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "12",
"style": "rule"
}
|
numina_math
|
{
"index": 9847,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah ran 2 miles, Jake ran 1875 yards, and Emily ran 3250 feet. How many combined feet did Sarah, Jake, and Emily run? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "19435",
"style": "rule"
}
|
numina_math
|
{
"index": 9848,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Consider a circular graph with 12 vertices, where each vertex must be colored either red, blue, or green. No two adjacent vertices can be the same color. How many distinct colorings are possible? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "4098",
"style": "rule"
}
|
numina_math
|
{
"index": 9849,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a charity event, volunteers are organized into 8 teams. Each team is further divided into 4 groups, and each group contains 6 volunteers. How many volunteers are participating in the charity event? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "192",
"style": "rule"
}
|
numina_math
|
{
"index": 9850,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Let \\( a, b, c, \\) and \\( d \\) be the roots of the polynomial \n\\[ x^4 - 3x^3 + 5x^2 - 7x + 6 = 0. \\]\nFind the value of \n\\[ a^2 + b^2 + c^2 + d^2. \\] Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "-1",
"style": "rule"
}
|
numina_math
|
{
"index": 9851,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A car travels at a speed of 60 miles per hour. If the car travels for 2 hours and 45 minutes, how many miles will it have traveled? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "165",
"style": "rule"
}
|
numina_math
|
{
"index": 9852,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Let \\( z \\) be a complex number such that \\( |z| = 5 \\). If \\( z \\cdot \\bar{z} = 25 \\) and \\( z \\cdot (3 + 4i) = 15 + 20i \\), find \\( z \\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "5",
"style": "rule"
}
|
numina_math
|
{
"index": 9853,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Two friends, Alex and Ben, decided to paint a fence together. Alex can paint the entire fence in 6 hours, while Ben can paint it in 4 hours. If they work together, how long will it take them to paint the entire 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": 9854,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A sequence follows the pattern of adding 7 to each subsequent term. If the 5th term in the sequence is 29, what is the 12th term? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "78",
"style": "rule"
}
|
numina_math
|
{
"index": 9855,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A train travels 5 kilometers every 20 minutes. How many meters does the train travel in 2 hours? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "30000",
"style": "rule"
}
|
numina_math
|
{
"index": 9856,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Maria is saving money for a new bike. She saved $50 in January and $75 in February. She wants to save a total of $300. How much more does she need to save in March to reach her goal? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "175",
"style": "rule"
}
|
numina_math
|
{
"index": 9857,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Maria goes for a walk every morning. She walks at a constant speed of 4 miles per hour. If she walks for 1 hour and 45 minutes, how far does she walk? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "7",
"style": "rule"
}
|
numina_math
|
{
"index": 9858,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Consider the expression \\( (3^4 \\times 5^3 - 2^5 + 7^2) \\mod 6 \\). Simplify the expression and find the remainder when it is divided by 6. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2",
"style": "rule"
}
|
numina_math
|
{
"index": 9859,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Jessica decides to buy a new laptop that costs $800. The store has a sales tax rate of 8%. She also wants to buy a laptop bag that costs $50 and a wireless mouse that costs $30. How much will Jessica spend in total, including the sales tax? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "944",
"style": "rule"
}
|
numina_math
|
{
"index": 9860,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Alice and Bob are planning a road trip. Alice drives 60 miles per hour and Bob drives 45 miles per hour. They both start from the same point and drive to a destination 300 miles away. If Alice leaves 1 hour after Bob, how long will it take for Alice to catch up to Bob? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "3",
"style": "rule"
}
|
numina_math
|
{
"index": 9861,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah bikes to the park every day. The park is 3 miles away from her house. On her way back, she takes a detour that makes her return journey 25% longer. If she makes this round trip every day for a week, how many miles does she bike in total? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "47.25",
"style": "rule"
}
|
numina_math
|
{
"index": 9862,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "An equilateral triangle and a square have the same perimeter of 24 cm. Calculate the area of the square. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "36",
"style": "rule"
}
|
numina_math
|
{
"index": 9863,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Given the first three terms of an arithmetic sequence are \\(a, a+d, a+2d\\) and the first three terms of a geometric sequence are \\(b, br, br^2\\), if \\(a + b = 7\\) and \\(a+2d = br^2\\), find the value of \\(d\\) when the common ratio \\(r\\) of the geometric sequence is 2. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "4",
"style": "rule"
}
|
numina_math
|
{
"index": 9864,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A number is such that when it is divided by 12, the remainder is 8. If the same number is divided by 15, the remainder is 10. What is the number? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "152",
"style": "rule"
}
|
numina_math
|
{
"index": 9865,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Consider the polynomial \\( P(x) = x^4 - 4x^3 + 6x^2 - 4x + 1 \\). Let the roots of \\( P(x) = 0 \\) be \\( r, s, t, u \\). Compute the value of \\( r^2 + s^2 + t^2 + u^2 \\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "4",
"style": "rule"
}
|
numina_math
|
{
"index": 9866,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A delivery truck travels at an average speed of 45 miles per hour. It takes the truck 3 hours to reach its first destination, where it unloads packages for 1 hour. Then, it continues to its second destination, which is 90 miles away, traveling at the same speed. How long does the entire trip take, including the unloading time? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "6",
"style": "rule"
}
|
numina_math
|
{
"index": 9867,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Alice and Bob are comparing the number of books they read over the summer. Alice read $4 \\frac{1}{3}$ times as many books as Bob. Together, they read a total of 32 books. How many books did each of them read? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "26",
"style": "rule"
}
|
numina_math
|
{
"index": 9868,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A teacher has 15 identical chocolate bars and wants to distribute them equally among her 4 students. After distributing the chocolate bars, she decides to give the remaining chocolate bars to one of the students. How many chocolate bars does the student with the extra bar receive in total? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "6",
"style": "rule"
}
|
numina_math
|
{
"index": 9869,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A cylindrical tank has a radius of 3 feet and a height of 10 feet. If the tank is filled with water, how many cubic feet of water can it hold? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "282.743",
"style": "rule"
}
|
numina_math
|
{
"index": 9870,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A train travels from City A to City B, which are 150 kilometers apart. On its way from City A to City B, the train travels at an average speed of 50 km/h. On its return trip from City B to City A, the train travels at an average speed of 30 km/h. What is the average speed of the train for the entire round trip? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "37.5",
"style": "rule"
}
|
numina_math
|
{
"index": 9871,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Vincent’s washer broke so he had to go to the laundromat. On Wednesday, he washed 6 loads of clothes. The next day, he had time to wash double the number of loads he did the day before. On Friday, he had a test and could only manage half of the loads he did on Thursday. On Saturday, the laundromat closed at noon and he could only wash a third of the loads he did on Wednesday. How many loads of laundry had he washed that week in total? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "26",
"style": "rule"
}
|
numina_math
|
{
"index": 9872,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Two cyclists start from the same point and travel in opposite directions. Cyclist A travels at a speed of 18 kilometers per hour, and Cyclist B travels at a speed of 22 kilometers per hour. If they start at the same time, how long will it take for them to be 80 kilometers apart? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2",
"style": "rule"
}
|
numina_math
|
{
"index": 9873,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A fitness challenge runs for 8 weeks. Each week, a participant needs to complete 75% of their weekly exercise goal. If the total exercise goal for the 8 weeks is 160 hours, how many hours of exercise should the participant complete each week to meet their weekly goal? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "15",
"style": "rule"
}
|
numina_math
|
{
"index": 9874,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In right triangle \\( \\triangle DEF \\) with \\(\\angle D = 90^\\circ\\), we have \\(DE = 8\\) and \\(DF = 10\\). Find the value of \\(EF^2 + 2^{3+2}\\). Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "68",
"style": "rule"
}
|
numina_math
|
{
"index": 9875,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A chemist is preparing a solution by mixing two liquids. Liquid A is 1/3 of the total mixture, and Liquid B is the remaining part. If the chemist adds 100 ml of Liquid A and 200 ml of Liquid B, how much more Liquid B does she need to add to achieve a mixture where Liquid A is 1/4 of the total mixture? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "100",
"style": "rule"
}
|
numina_math
|
{
"index": 9876,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a group of 30 people, each person shakes hands with every other person exactly once. After all the handshakes, a few people left the group, and the remaining people continued shaking hands. If the total number of handshakes after all the events was 435, how many people left the group? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "0",
"style": "rule"
}
|
numina_math
|
{
"index": 9877,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Alex has 3 times as many marbles as Blake. If the total number of marbles they have together is 48, how many marbles does each person have? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "36",
"style": "rule"
}
|
numina_math
|
{
"index": 9878,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Henry is calculating his budget for the month. He earned $1500 from his job, but he has to pay $450 for rent, $200 for utilities, $300 for groceries, and $100 for other expenses. He also received a $250 gift from a friend. How much money does Henry have left after paying all his expenses? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "700",
"style": "rule"
}
|
numina_math
|
{
"index": 9879,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A car travels from City X to City Y at a constant speed of 60 miles per hour. On the return trip, it travels at a constant speed of 45 miles per hour. If the total travel time for the round trip is 7 hours, how far is City Y from City X? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "180",
"style": "rule"
}
|
numina_math
|
{
"index": 9880,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah's current salary is $50,000. She is expecting a 10% increase in her salary next year. After receiving the increase, she plans to save 20% of her new salary. How much money will Sarah save next year? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "11000",
"style": "rule"
}
|
numina_math
|
{
"index": 9881,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Charles is trying to figure out his mother's current age. He knows that 15 years ago, his mother's age was one-third of her current age. Additionally, if he adds the sum of the ages of his mother and himself, it equals 80 years. Charles is currently 20 years old. How old is his mother now? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "60",
"style": "rule"
}
|
numina_math
|
{
"index": 9882,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Manny had 3 birthday cookie pies to share with his 24 classmates and his teacher, Mr. Keith. If each of the cookie pies were cut into 10 slices and Manny, his classmates, and Mr. Keith all had 1 piece, how many slices are left? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "4",
"style": "rule"
}
|
numina_math
|
{
"index": 9883,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Lily travels from her home to the library and back. On her way to the library, she walks at a speed of 4 kilometers per hour. On the way back, she takes a bus that travels at a speed of 16 kilometers per hour. The total round trip takes her 1.5 hours. How far is the library from Lily's home? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "4.8",
"style": "rule"
}
|
numina_math
|
{
"index": 9884,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A team of painters can paint a house in 12 hours. If Painter A can complete the job alone in 20 hours and Painter B can complete the job alone in 30 hours, how long will it take for Painter C to complete the job alone if all three painters working together can complete the job in 6 hours? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "12",
"style": "rule"
}
|
numina_math
|
{
"index": 9885,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A fruit vendor is selling apples and oranges. Each apple costs $2, and each orange costs $3. The vendor sold a total of 50 fruits and collected $120. How many apples did the vendor sell? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "30",
"style": "rule"
}
|
numina_math
|
{
"index": 9886,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "In a classroom, there are 12 students who need to be divided into 3 groups for a group project. Each group must have exactly 4 students. How many different ways can the students be divided into these groups? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "5775",
"style": "rule"
}
|
numina_math
|
{
"index": 9887,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Consider the series \\( S = 1 - 4 + 9 - 16 + \\cdots + 9801 - 10000 \\). Find the remainder when \\( S \\) is divided by 50. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "0",
"style": "rule"
}
|
numina_math
|
{
"index": 9888,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "If a shirt originally costs $50 and it is sold at a 20% discount, what is the discounted price? Then, solve for the original price if the discounted price is given as $40. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "50",
"style": "rule"
}
|
numina_math
|
{
"index": 9889,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "The ages of 7 friends are as follows: 12, 15, 19, 20, 22, 25, and 30. If each of them invites one more friend who is exactly 5 years older than them, what is the median age of all 14 friends together? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "23",
"style": "rule"
}
|
numina_math
|
{
"index": 9890,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Consider the Fibonacci sequence \\(F_n\\) defined by \\(F_0 = 0\\), \\(F_1 = 1\\), and \\(F_{n+2} = F_{n+1} + F_n\\) for \\(n \\geq 0\\). Evaluate the infinite series\n\\[\nS = \\sum_{n=0}^{\\infty} \\frac{F_n}{10^n}.\n\\] Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "\\frac{10}{89}",
"style": "rule"
}
|
numina_math
|
{
"index": 9891,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Beth is planning her weekly baking for a school event. She bakes 4 batches of cookies, each containing 2 dozen cookies. If these cookies are to be shared equally among 16 students, how many cookies does each student get? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "6",
"style": "rule"
}
|
numina_math
|
{
"index": 9892,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A sequence of consecutive integers starts at 1 and ends at \\( n \\). If the sum of these integers is 5050, what is the value of \\( n \\)? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "100",
"style": "rule"
}
|
numina_math
|
{
"index": 9893,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Sarah is baking cookies for a party. She plans to bake 3 types of cookies: chocolate chip, oatmeal, and sugar cookies. The recipe for chocolate chip cookies takes 90 minutes to prepare. The oatmeal cookies take 2/3 of the time it takes to prepare the chocolate chip cookies. The sugar cookies take the average time of the chocolate chip and oatmeal cookies. How many minutes in total does Sarah spend baking all three types of cookies? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "225",
"style": "rule"
}
|
numina_math
|
{
"index": 9894,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A rare species of plant doubles in number every week. If initially there were 3 plants, how many plants will there be at the end of 6 weeks? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "192",
"style": "rule"
}
|
numina_math
|
{
"index": 9895,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Avril's father bought 18 books. Avril takes away 4 books and then decides to give back half of what she took. How many books does Avril's father have left? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "16",
"style": "rule"
}
|
numina_math
|
{
"index": 9896,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "A factory produces widgets. The daily production cost consists of a fixed cost of $500 and a variable cost of $7 per widget produced. If the factory produces and sells widgets at $10 each, how many widgets must it produce and sell in a day to break even? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "167",
"style": "rule"
}
|
numina_math
|
{
"index": 9897,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "Solve the equation \\[\\frac{x^3 - 2x^2 - x + 2}{x^2 - 3x + 2} = 0\\] by factoring the polynomials and identifying the roots of the resulting equation. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "-1",
"style": "rule"
}
|
numina_math
|
{
"index": 9898,
"name": "numina_math",
"split": "train"
}
|
[
{
"content": "John is planning his daily schedule. He spends 1/3 of his day at work, 1/6 of his day commuting, and 1/8 of his day exercising. He also needs 7 hours of sleep each day. How many hours does John have left for leisure activities? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
{
"ground_truth": "2",
"style": "rule"
}
|
numina_math
|
{
"index": 9899,
"name": "numina_math",
"split": "train"
}
|
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