Datasets:
data_source stringclasses 1
value | prompt listlengths 1 1 | ability stringclasses 1
value | reward_model dict | extra_info dict |
|---|---|---|---|---|
grpo_halfB_en | [
{
"content": "Question: Suppose that $7$ boys and $13$ girls line up in a row. Let $S$ be the number of places in the row where a boy and a girl are standing next to each other. For example, for the row $GBBGGGBGBGGGBGBGGBGG$ we have $S=12$. The average value of $S$ (if all possible orders of the 20 people are ... | math | {
"ground_truth": "A",
"style": "rule"
} | {
"index": "openr1_9f2b1d1a-6557-5580-8505-47ad502efe0a",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: A rectangle has a length of 40 meters and a width of 20 meters. A similar smaller rectangle has half the length and width of the big rectangle. What's the area of the smaller rectangle?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in t... | math | {
"ground_truth": "200",
"style": "rule"
} | {
"index": "gsm8k_train_4985",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Pat’s computer password is made up of several kinds of alphanumeric and symbol characters for security. He uses a string of eight random lowercase letters, a string half that length of alternating upper case letters and numbers, and one symbol on each end of the password. How many charac... | math | {
"ground_truth": "14",
"style": "rule"
} | {
"index": "gsm8k_train_6375",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Henrietta is repainting her house. The walls in the living room take up 600 square feet. She has three bedrooms. The walls in each bedroom take up 400 square feet. If one gallon of paint can cover 600 square feet, how many gallons of paint does Henrietta need to paint her house?\nAnswer:... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": "gsm8k_train_895",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: 6. The sequence $a_{n}$ is defined as follows:\n\n$a_{1}=2, a_{n+1}=a_{n}+\\frac{2 a_{n}}{n}$, for $n \\geq 1$. Find $a_{100}$.\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}\""
}
] | math | {
"ground_truth": "10100",
"style": "rule"
} | {
"index": "openr1_8e88bf83-0585-58c4-b286-696aa73004de",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: $29 \\cdot 13$ has more than one positive integer greater than 1, which when divided by any integer $k(2 \\leqslant$ $k \\leqslant 11)$ leaves a remainder of 1. The difference between the two smallest such integers is\n(A) 2310.\n(B) 2311.\n(C) 27720.\n(D) 27721.\n(E) None of these.\n(29... | math | {
"ground_truth": "C",
"style": "rule"
} | {
"index": "openr1_f8ac57db-8e98-5f41-a312-d2c2bffde384",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: ## Problem Statement\n\nCalculate the lengths of the arcs of the curves given by equations in a rectangular coordinate system.\n\n$$\ny=-\\arccos \\sqrt{x}+\\sqrt{x-x^{2}}, 0 \\leq x \\leq \\frac{1}{4}\n$$\nAnswer: To solve this problem, let's think step by step. In the response, write t... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": "openr1_83549530-dd14-507c-83f7-8b6b6953604d",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: 5. (10 points) The integer part of the expression $\\frac{50}{11}+\\frac{55}{12}+\\frac{60}{13}+\\frac{65}{14}+\\frac{70}{15}+\\frac{75}{16}+\\frac{80}{17}+\\frac{85}{18}+\\frac{90}{19}+\\frac{95}{20}$ is\nAnswer: To solve this problem, let's think step by step. In the response, write th... | math | {
"ground_truth": "46",
"style": "rule"
} | {
"index": "openr1_ac4f0f56-d146-519e-b717-f3067646da14",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Matt has six cats and half of them are female. If each female cat has 7 kittens, and Matt sells 9 of them, what percentage of his remaining cats are kittens (rounded to the nearest percent)?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer... | math | {
"ground_truth": "67",
"style": "rule"
} | {
"index": "gsm8k_train_4603",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Leticia, Scarlett, and Percy decide to eat at a Greek restaurant for lunch. The prices for their dishes cost $10, $13, and $17, respectively. If the trio gives the waiter a 10% tip, how much gratuity should the waiter receive in dollars?\nAnswer: To solve this problem, let's think step b... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": "gsm8k_train_4960",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: For integers $a, b, c$ and $d$, it holds that $a>b>c>d$ and\n\n$$\n(1-a)(1-b)(1-c)(1-d)=10\n$$\n\nWhat values can the expression $a+b-c-d$ take?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}\""
... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": "openr1_60187969-b63f-534a-8cd5-1af3584c87fa",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: 8 、Arrange the n consecutive positive integers from 1 to $n(n>1)$ in a sequence such that the sum of every two adjacent terms is a perfect square. The minimum value of the positive integer $n$ is $\\qquad$ .\nAnswer: To solve this problem, let's think step by step. In the response, write... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"index": "openr1_402745ef-c4e2-5382-8c33-16d8c6e085f9",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Problem 6. Forty children were playing in a ring. Of them, 22 were holding hands with a boy and 30 were holding hands with a girl. How many girls were in the ring? [8 points] (E.V. Bakayev)\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer ... | math | {
"ground_truth": "24",
"style": "rule"
} | {
"index": "openr1_8fb5c6c1-2613-5f85-9130-a80d9152bb21",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Calum runs a nightclub and decides to run a disco night to attract different customers. He is planning the event and is calculating how much he can spend on each item without spending more than he has budgeted. He only needs to buy 4 disco balls and 10 boxes of food. Each box of food cos... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"index": "gsm8k_train_3743",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: 15. Given that $m, n$ are integers, $m, n \\in\\{1,2, \\cdots, 1981\\}$, and $\\left(n^{2}-m n-\\right.$ $\\left.m^{2}\\right)^{2}=1$, determine the maximum value of $m^{2}+n^{2}$.\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this e... | math | {
"ground_truth": "3524578",
"style": "rule"
} | {
"index": "openr1_03f1bde2-b0f8-571d-bcdf-5a2691d4563f",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: 10. Given the sequence $\\left\\{a_{n}\\right\\}$ satisfies: $a_{1}=1, a_{n+1}=a_{n}+a_{n}^{2}\\left(n \\in \\mathbf{N}^{*}\\right)$. Let\n$$\nS_{n}=\\frac{1}{\\left(1+a_{1}\\right)\\left(1+a_{2}\\right) \\cdots\\left(1+a_{n}\\right)}, \\quad T_{n}=\\sum_{k=1}^{n} \\frac{1}{1+a_{k}}\n$$\... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": "openr1_597a254b-ef8f-58f5-b90b-e7d760b4f061",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: 8. There are 60 apples in a basket. Take them all out and divide them into even-numbered piles, so that each pile has the same number of apples. How many ways are there to do this?\n\n\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in th... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"index": "openr1_349f76a7-d547-5701-a430-a8ce5025a38c",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Problem 6.3. Vitya and his mother left home at the same time and walked in opposite directions at the same speed: Vitya - to school, and his mother - to work. After 10 minutes, Vitya realized he didn't have the keys to the house, and he would return from school earlier than his mother, s... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"index": "openr1_3380e893-b209-570a-9c62-04b423ee6cf9",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: 6. Two pedestrians are walking towards each other along a straight road at a speed of 5 km/h. The initial distance between them is 10 kilometers. A fly, which flies at a speed of $14 \\mathrm{km} / \\mathrm{h}$, takes off from the first pedestrian, flies straight to the second, lands on ... | math | {
"ground_truth": "14",
"style": "rule"
} | {
"index": "openr1_57f4a22f-790b-5c5e-9697-4158159c2b47",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Suppose that $a, b, c$, and $d$ are positive integers that satisfy the equations\n\n$$\n\\begin{aligned}\n& a b+c d=38 \\\\\n& a c+b d=34 \\\\\n& a d+b c=43\n\\end{aligned}\n$$\n\nWhat is the value of $a+b+c+d$ ?\n(A) 15\n(B) 16\n(C) 17\n(D) 18\n(E) 19\nAnswer: To solve this problem, let... | math | {
"ground_truth": "D",
"style": "rule"
} | {
"index": "openr1_e45dc704-c742-5ee5-b5bf-c0fa7a72f278",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Alice had 10 dozens of watermelons. She sold 40% of it yesterday and 1/4 of the remaining today, How many watermelons are left to be sold tomorrow?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}\... | math | {
"ground_truth": "54",
"style": "rule"
} | {
"index": "gsm8k_train_1245",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: A firefighter's hose can deliver 20 gallons of water per minute. For a building fire that requires 4000 gallons of water to put out, how long will it take, in minutes, for a team of 5 firefighters, each with their own hose, to put out the fire?\nAnswer: To solve this problem, let's thin... | math | {
"ground_truth": "40",
"style": "rule"
} | {
"index": "gsm8k_train_5122",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: 10. (20 points) Let $r_{1}, r_{2}, r_{3}$ be the roots of the real-coefficient equation\n$$\nx^{3}-x^{2}+a x-b=0\n$$\n\nwith $0<r_{i}<1(i=1,2,3)$. Find the maximum value of $7 a-9 b$.\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in thi... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": "openr1_e3b89b85-cb74-5ac1-9a0b-8d7515613516",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: 10. Let $M=(5+\\sqrt{24})^{2 n}\\left(n \\in \\mathbf{N}_{+}\\right), N$ be the fractional part of $M$. Then the value of $M(1-N)$ is $\\qquad$\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}\""
... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": "openr1_3d5f6648-a566-50d7-8ee6-8161914b7138",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Senderov V.A.\n\n1999 numbers stand in a row. The first number is 1. It is known that each number, except the first and the last, is equal to the sum of its two neighbors.\n\nFind the last number.\n\n#\nAnswer: To solve this problem, let's think step by step. In the response, write the f... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": "openr1_99935d17-f5e3-5c68-bf20-9c8bed05f907",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: 7. If a non-zero complex number $x$ satisfies $x+\\frac{1}{x}=1$, then $x^{2014}+\\frac{1}{x^{2014}}=$ $\\qquad$ .\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}\""
}
] | math | {
"ground_truth": "-1",
"style": "rule"
} | {
"index": "openr1_2325152c-45cd-531c-ab9d-2ed7070f27f5",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: How many whole numbers lie in the interval between $\\frac{5}{3}$ and $2\\pi$?\n$\\text{(A)}\\ 2 \\qquad \\text{(B)}\\ 3 \\qquad \\text{(C)}\\ 4 \\qquad \\text{(D)}\\ 5 \\qquad \\text{(E)}\\ \\text{infinitely many}$\nAnswer: To solve this problem, let's think step by step. In the respons... | math | {
"ground_truth": "D",
"style": "rule"
} | {
"index": "openr1_df157ef3-c961-5750-8554-6ace04db222f",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: 2. What is the value of\n$$\n\\frac{2005^{2}+2 \\times 2005 \\times 1995+1995^{2}}{800} ?\n$$\n(A) 20000\n(B) 2000\n(C) 200000\n(D) 2000000\n(E) None of the above\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\b... | math | {
"ground_truth": "A",
"style": "rule"
} | {
"index": "openr1_10b5e164-a3b9-5609-bd52-61a419a0e452",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Find maximal numbers of planes, such there are $6$ points and \n1) $4$ or more points lies on every plane.\n2) No one line passes through $4$ points.\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"index": "openr1_42437ef3-822c-5bc5-a393-4e6616af9675",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: What is the exact value of $2^{\\log _{6} 18} \\cdot 3^{\\log _{6} 3}$?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}\""
}
] | math | {
"ground_truth": "6",
"style": "rule"
} | {
"index": "openr1_ccd4af1c-f726-55f9-a72a-5b2abf748384",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: For Mother's Day last year, Kyle picked a dozen roses from his garden, but this year, he was only able to pick half the number of roses. If Kyle wants to give his mother a bouquet with twice as many roses as last year and the grocery store sells one rose for $3, how much would Kyle have ... | math | {
"ground_truth": "54",
"style": "rule"
} | {
"index": "gsm8k_train_3216",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: 5. Given that the 2017 roots of the equation $x^{2017}=1$ are 1, $x_{1}, x_{2}, \\cdots, x_{2016}$. Then $\\sum_{k=1}^{2016} \\frac{1}{1+x_{k}}=$ $\\qquad$ .\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{... | math | {
"ground_truth": "1008",
"style": "rule"
} | {
"index": "openr1_cf3d29c3-a2d8-51bb-a6d8-011f8b8c6f88",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: $10 \\cdot 7$ Consider the non-decreasing sequence of positive integers\n$$\n1,2,2,3,3,3,4,4,4,4,5,5,5,5,5, \\cdots\n$$\n\nwhere the positive integer $n$ appears $n$ times. The remainder when the 1993rd term is divided by 5 is\n(A) 0 .\n(B) 1 .\n(C) 2 .\n(D) 3 .\n(E) 4\n(44th American Hi... | math | {
"ground_truth": "D",
"style": "rule"
} | {
"index": "openr1_b4add77c-ae47-54f1-a215-3fd84400556a",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Example 3 Let $a b c \\neq 0, a+b+c=a^{2}+b^{2}+c^{2}=2$. Find the value of the algebraic expression $\\frac{(1-a)^{2}}{b c}+\\frac{(1-b)^{2}}{c a}+\\frac{(1-c)^{2}}{a b}$.\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact for... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": "openr1_37ae50d5-5374-5ae8-b0d7-55bf1ac9b42e",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Edmund owns a gift wrapping shop, he uses 18 inches of gift wrapper per gift box. If Edmund has 90 inches of gift wrapper per day, how many gift boxes will he be able to wrap every 3 days?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer i... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"index": "gsm8k_train_4989",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: 3. $\\left\\{a_{n}\\right\\}$ is an arithmetic sequence, $a_{1}=1$, with a common difference of $d ;\\left\\{b_{n}\\right\\}$ is a geometric sequence, with a common ratio of $q$, the first three terms of the sequence $\\left\\{a_{n}+b_{n}\\right\\}$ are $3, 12, 23, d+q=$ $\\qquad$ .\nAns... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": "openr1_8dbb1c35-fabf-50e6-a404-d654573fd74d",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: 8. The real numbers $x, y$ and $z$ are a solution $(x, y, z)$ of the equation $\\left(x^{2}-9\\right)^{2}+\\left(y^{2}-4\\right)^{2}+\\left(z^{2}-1\\right)^{2}=0$. How many different possible values are there for $x+y+z ?$\nAnswer: To solve this problem, let's think step by step. In the ... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"index": "openr1_798afd91-4b9f-5b91-9c71-7d409e2b49bf",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Let $A$ and $B$ be distinct positive integers such that each has the same number of positive divisors that 2013 has. Compute the least possible value of $\\left| A - B \\right|$.\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this ex... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": "openr1_cd53808c-860c-5259-921e-18cf12f9da1f",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: 8. Let $a, b, c$ be positive real numbers such that $a+b+c=2013$. Find the maximum value of $\\sqrt{3 a+12}+\\sqrt{3 b+12}+\\sqrt{3 c+12}$.\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}\""
}
] | math | {
"ground_truth": "135",
"style": "rule"
} | {
"index": "openr1_06bbf7e0-b64d-558b-ba6e-52a8c3a92d14",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Jake's dad can drive the distance from their house to the water park in 30 minutes. He spends half that journey driving 28 miles per hour and the other half driving 60 miles per hour on the highway. If Jake can bike 11 miles per hour, how many hours will it take him to bike to the water ... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": "gsm8k_train_5931",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: The [Fibonacci sequence](https://artofproblemsolving.com/wiki/index.php/Fibonacci_sequence) $1,1,2,3,5,8,13,21,\\ldots$ starts with two 1s, and each term afterwards is the sum of its two predecessors. Which one of the ten [digits](https://artofproblemsolving.com/wiki/index.php/Digit) is ... | math | {
"ground_truth": "C",
"style": "rule"
} | {
"index": "openr1_3650a729-9478-5304-b58f-53b64b961ba2",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: James has 20 pairs of red socks and half as many black socks. He has twice as many white socks as red and black combined. How many total socks does he have combined?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: ... | math | {
"ground_truth": "90",
"style": "rule"
} | {
"index": "gsm8k_train_6409",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Problem 5. Vasya and Petya live in the mountains and love to visit each other. When climbing up the mountain, they walk at a speed of 3 km/h, and when descending, they walk at a speed of 6 km/h (there are no horizontal road sections). Vasya calculated that it takes him 2 hours and 30 min... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"index": "openr1_957471e9-b3bc-5ad7-ab53-8336c57fe55b",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: 4. In the arithmetic sequence $\\left\\{a_{n}\\right\\}$, if $S_{4} \\leqslant 4, S_{5} \\geqslant 15$, then the minimum value of $a_{4}$ is $\\qquad$ .\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answ... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"index": "openr1_ccae1952-c923-5b38-b955-d436bb16ca5d",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: The price of electricity went up by 25%. John's old computer used 800 watts and his new computer uses 50% more. If the old price of electricity was 12 cents per kilowatt-hour, how much does his computer cost, in dollars, to run for 50 hours?\nAnswer: To solve this problem, let's think ... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": "gsm8k_train_3408",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Emily has 7 times as many oranges as Sandra. Sandra has 3 times as many oranges as Betty. If Betty has 12 oranges, how many oranges does Emily have?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}... | math | {
"ground_truth": "252",
"style": "rule"
} | {
"index": "gsm8k_train_2754",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Mona bikes 30 miles each week to stay fit. This week, she biked on Monday, Wednesday, and Saturday. On Wednesday, she biked 12 miles. On Saturday, she biked twice as far as on Monday. How many miles did she bike on Monday?\nAnswer: To solve this problem, let's think step by step. In the ... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"index": "gsm8k_train_3971",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Milly is making croissants. She needs to fold the dough 4 times, which takes 5 minutes each time, then let it rest for 75 minutes each time. If mixing the ingredients takes 10 minutes and baking the croissants takes 30 minutes, how many hours does the whole process take?\nAnswer: To solv... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"index": "gsm8k_train_5945",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Martin eats 1/2 cup of berries every day. The grocery store is selling a package of berries (1 cup per pack) for $2.00. How much will he spend on berries in a 30 day period?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact ... | math | {
"ground_truth": "30",
"style": "rule"
} | {
"index": "gsm8k_train_6954",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: The 58th question: Given that $p$ is an odd prime, if a natural number $x$ satisfies that for any natural number $t, p \\nmid\\left(x-t^{2}\\right)$, then $x$ is called a quadratic non-residue modulo $p$. Let the set $A=\\{a \\mid a \\in Z, 1 \\leq a<p, a$ and $4-$ $\\mathrm{a}$ are both... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": "openr1_fcd6307b-bbfa-5589-8c6d-df32f9b1d3f1",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: B3. For how many of the integers $n$ from 1 to 100 is $8 n+1$ the square of an integer?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}\""
}
] | math | {
"ground_truth": "13",
"style": "rule"
} | {
"index": "openr1_5543c966-78e7-5884-bf20-e7ebe646cff7",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Michael has a chicken farm. His chickens increase in number by 150 chickens annually. If the number of chickens on his farm now is 550, how many will he have after 9 years?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact for... | math | {
"ground_truth": "1900",
"style": "rule"
} | {
"index": "gsm8k_train_5426",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: 5. Given $f(x)=x^{5}+a_{1} x^{4}+a_{2} x^{3}+a_{3} x^{2}+a_{4} x+a_{5}$, and when $m=1,2,3,4$, $f(m)=2017 m$, then $f(10)-f(-5)=$\nA. 71655\nB. 75156\nC. 75615\nD. 76515\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format... | math | {
"ground_truth": "C",
"style": "rule"
} | {
"index": "openr1_b66dbbad-919d-51e5-b2ee-6107eaeb2953",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: 19. A batch of feed can supply 10 ducks and 15 chickens for 6 days, or 12 ducks and 6 chickens for 7 days. Then this batch of feed can supply $\\qquad$ ducks for 21 days.\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact forma... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"index": "openr1_3047069b-d5be-51d4-9e07-9dec570b6de2",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Jennifer wants to go to a museum. There is one 5 miles away from her home and one 15 miles away. If Jennifer goes to both museums on two separate days, how many miles total will she travel?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer ... | math | {
"ground_truth": "40",
"style": "rule"
} | {
"index": "gsm8k_train_1849",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: 3. For all $m, n$ satisfying $1 \\leqslant n \\leqslant m \\leqslant 5$, the number of different hyperbolas represented by the polar equation $\\rho=\\frac{1}{1-c_{m}^{n} \\cos \\theta}$ is\nA. 15\nB. 10\nC. 7\nD. 6\nAnswer: To solve this problem, let's think step by step. In the respons... | math | {
"ground_truth": "D",
"style": "rule"
} | {
"index": "openr1_21195441-d197-50d9-95d7-b745467c6516",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Steve makes 40000$ a year as a teacher. He loses 20 percent to taxes, 10 percent to healthcare, and 800$ to local union dues. How much money does Steve take home?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\... | math | {
"ground_truth": "27200",
"style": "rule"
} | {
"index": "gsm8k_train_5330",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Example 5 If $xy=1$, then the minimum value of the algebraic expression $\\frac{1}{x^{4}}+\\frac{1}{4 y^{4}}$ is $\\qquad$ .\n(1996, Huanggang City, Hubei Province, Junior High School Mathematics Competition)\nAnswer: To solve this problem, let's think step by step. In the response, writ... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": "openr1_4b53241a-e862-5527-b8a6-6a2cc058cd8d",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Three, (25 points) Given that $m$ and $n$ ($m>n$) are positive integers, and the last three digits of $3^{m}$ and $3^{n}$ are the same. Find the minimum value of $m-n$.\n\n保留源文本的换行和格式，翻译结果如下：\n\n```\nThree, (25 points) Given that $m$ and $n$ ($m>n$) are positive integers, and the last th... | math | {
"ground_truth": "100",
"style": "rule"
} | {
"index": "openr1_07ebf330-5925-507e-9f21-7a15a3a31539",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?\nAnswer: To solve this problem, let's think step by st... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"index": "gsm8k_train_7462",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: In a field where there are 200 animals, there are 40 cows, 56 sheep and goats. How many goats are there?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}\""
}
] | math | {
"ground_truth": "104",
"style": "rule"
} | {
"index": "gsm8k_train_1669",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: It was Trevor's job to collect fresh eggs from the family's 4 chickens every morning. He got 4 eggs from Gertrude and 3 eggs from Blanche. Nancy laid 2 eggs as did Martha. On the way, he dropped 2 eggs. How many eggs did Trevor have left?\nAnswer: To solve this problem, let's think ... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": "gsm8k_train_3161",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: On Black Friday a popular electronics store sells 327 televisions. This is 50 more than they sold last Black Friday. If this sales trend continues and they sell 50 more televisions each year for three years, how many televisions will they sell on Black Friday three years from now?\nAnswe... | math | {
"ground_truth": "477",
"style": "rule"
} | {
"index": "gsm8k_train_3704",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_halfB_en | [
{
"content": "Question: Solve the following equation:\n\n$$\n\\log _{3}(3-x)=\\sqrt{\\sqrt{x-1}-\\frac{1}{\\sqrt{x-1}}}\n$$\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}\""
}
] | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": "openr1_d7a12bad-293b-591a-b89a-6c97980a109a",
"lang": "en",
"source": "openr1",
"split": "train"
} |
GRPO Mixed-Language Math Data (half_B)
GRPO training data for cross-lingual math reasoning experiments, derived from a half_B split of openr1 + GSM8K problems.
Dataset structure
data/{mix}/train.parquet— training set for each mixdata/_val/val.parquet— validation set (64 rows, all en)
Available mixes
| mix | split | rows | lang counts |
|---|---|---|---|
_val |
val | 64 | en=64 |
en50_es50 |
train | 9880 | en=4940, es=4940 |
en50_th50 |
train | 9879 | en=4940, th=4939 |
en50_zh50 |
train | 9880 | en=4940, zh=4940 |
en90_es10 |
train | 9880 | en=8892, es=988 |
en90_th10 |
train | 9880 | en=8892, th=988 |
en90_zh10 |
train | 9880 | en=8892, zh=988 |
es100 |
train | 9880 | es=9880 |
th100 |
train | 9879 | th=9879 |
zh100 |
train | 9880 | zh=9880 |
Per-row schema (parquet)
| column | type | description |
|---|---|---|
data_source |
str | e.g. grpo_v1_en |
prompt |
list[dict] | [{"role": "user", "content": "Question: ...\nAnswer: ..."}] — raw text (no chat template) |
ability |
str | always math |
reward_model |
dict | {"ground_truth": "X", "style": "rule"} |
extra_info |
dict | `{"index": qid, "lang": "en |
Half split rule
The source pool of ~20k problems was split into half_A (9879 unique qids) and half_B (9880 unique qids), completely disjoint:
half_A ∩ half_B = 0half_A ∪ half_B = 19759unique problems
This dataset is the half_B split. Companion dataset: dai22rosso/grpo-mix-halfA
Intended use
- base-model GRPO: use half_A (this dataset's companion uses half_A)
- SFT-then-GRPO: use half_B for the GRPO step if SFT was on half_A (to avoid data contamination)
Quickstart
from datasets import load_dataset
# Load a specific mix
ds = load_dataset("dai22rosso/grpo-mix-halfb", data_files="data/en90_es10/train.parquet")
# Or load all mixes
import os
from huggingface_hub import snapshot_download
local = snapshot_download(repo_id="dai22rosso/grpo-mix-halfb", repo_type="dataset")
print(os.listdir(f"{local}/data"))
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