Datasets:
data_source large_stringclasses 1
value | prompt listlengths 1 1 | ability large_stringclasses 1
value | reward_model dict | extra_info dict |
|---|---|---|---|---|
grpo_v1_en | [
{
"content": "Question: While shopping, Greg spent 300$ on a shirt and shoes. If Greg spent 9 more than twice as much on shoes as he did a shirt, how much did Greg spend on a shirt?\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": "97",
"style": "rule"
} | {
"index": "gsm8k_train_3826",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: 11. The sequence $\\left\\{x_{n}\\right\\}$ is defined as follows: $x_{1}=\\frac{1}{2}, x_{k+1}=x_{k}^{2}+x_{k}$. Then the integer part of the following sum $\\frac{1}{x_{1}+1}+\\frac{1}{x_{2}+1}+\\cdots+\\frac{1}{x_{100}+1}$ is . $\\qquad$\nAnswer: To solve this problem, let's think ste... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": "openr1_fcf64a37-5ee3-5e02-8595-76921e318f37",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Jason has to drive home which is 120 miles away. If he drives at 60 miles per hour for 30 minutes, what speed does he have to average for the remainder of the drive to get there in exactly 1 hour 30 minutes?\nAnswer: To solve this problem, let's think step by step. In the response, write... | math | {
"ground_truth": "90",
"style": "rule"
} | {
"index": "gsm8k_train_5724",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Shem makes 2.5 times more money per hour than Kem. If Kem earns $4 per hour, how much does Shem earn for an 8-hour workday?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}\"",
"role": "user"
... | math | {
"ground_truth": "80",
"style": "rule"
} | {
"index": "gsm8k_train_7188",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Sarah makes 5 times more money per hour than Connor does. If Connor earns $7.20 per hour, how much does Sarah make in an 8-hour day?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}\"",
"role":... | math | {
"ground_truth": "288",
"style": "rule"
} | {
"index": "gsm8k_train_2055",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: John chops down 30 trees. From each tree, he can make 25 planks. A table takes 15 planks to make and sells for $300. He paid $3000 for all the labor. How much profit did he make?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this... | math | {
"ground_truth": "12000",
"style": "rule"
} | {
"index": "gsm8k_train_1749",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: 19. Two natural numbers both give a remainder of 2 when divided by 3. What remainder does their product give when divided by 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>}\"",
"role": "use... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": "openr1_67c3845a-79f0-5dbd-be2b-f9a8763fcab2",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Four, (50 points) Find all positive integers $n$, such that $2^{n}+2n$ is a factorial of a positive integer.\n\nTranslate the text above into English, please keep the original text's line breaks and format, and output the translation result directly. \n\nNote: The provided text is alread... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": "openr1_72c869c5-5751-52c5-a570-2e1247357e34",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: How many pairs of positive integers $a$ and $b$ satisfy the equation $\\frac{a}{7}+\\frac{2}{b}=1$ ?\n(A) 4\n(B) 1\n(C) 0\n(D) 5\n(E) 2\n\nPart C: Each correct answer is worth 8.\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exa... | math | {
"ground_truth": "E",
"style": "rule"
} | {
"index": "openr1_c9563fea-a140-55d5-b144-b8fcf88e8762",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: 9.4. In the country, there are 20 cities. An airline wants to organize two-way flights between them so that from any city, it is possible to reach any other city with no more than $k$ transfers. At the same time, the number of air routes from any city should not exceed four. What is the ... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": "openr1_958c365f-bba0-51ab-af56-fa2148e51a43",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: 14. Three positive integers are such that they differ from each other by at most 6 . It is also known that the product of these three integers is 2808 . What is the smallest integer among them?\nAnswer: To solve this problem, let's think step by step. In the response, write the final ans... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"index": "openr1_f1f98839-918b-5136-92b5-52313aaef5f2",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: 9. The number of prime pairs $(a, b)$ that satisfy the equation\n$$\na^{b} b^{a}=(2 a+b+1)(2 b+a+1)\n$$\n\nis $\\qquad$.\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}\"",
"role": "user"
}
... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": "openr1_f615bb24-7eee-501e-86fa-b8b304279429",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Example 5 Find all odd prime numbers $p$ such that $p \\mid \\sum_{k=1}^{103} k^{p-1}$.\n\n untranslated text remains the same as requested.\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": "3",
"style": "rule"
} | {
"index": "openr1_6f5af08a-a140-54ea-b80b-3fba57584c3b",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Alyssa, Keely, and Kendall ordered 100 chicken nuggets from a fast-food restaurant. Keely and Kendall each ate twice as many as Alyssa. How many did Alyssa eat?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\box... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"index": "gsm8k_train_109",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Problem 8.1. Gleb placed the numbers $1,2,7,8,9,13,14$ at the vertices and the center of a regular hexagon such that in any of the 6 equilateral triangles, the sum of the numbers at the vertices is divisible by 3. What number could Gleb have written in the center? It is sufficient to pro... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": "openr1_889c42fd-d48a-5da3-946c-f6f65da628b7",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Matt's protein powder is 80% protein. He weighs 80 kg and wants to eat 2 grams of protein per kilogram of body weight each day. How much protein powder does he need to eat per week?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in thi... | math | {
"ground_truth": "1400",
"style": "rule"
} | {
"index": "gsm8k_train_5435",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: 10. In the packaging workshop, there are 2 types of boxes: one for 20 parts and one for 27 parts. A batch of parts between 500 and 600 pieces has arrived for packaging. When the parts are packed in the first type of box, 13 parts are left unpacked, and when packed in the second type of b... | math | {
"ground_truth": "533",
"style": "rule"
} | {
"index": "openr1_7c67b043-088e-5d43-afdc-3211ee077cfa",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: In the table, the sum of the numbers in each row, column and diagonal is the same. What is the value of $P+Q+R+S$ ?\n(A) 56\n(B) 60\n(C) 64\n(D) 68\n(E) 72\n\n| $P$ | 4 | $Q$ |\n| :---: | :---: | :---: |\n| 10 | 16 | 22 |\n| $R$ | 28 | $S$ |\nAnswer: To solve this problem, let's think st... | math | {
"ground_truth": "C",
"style": "rule"
} | {
"index": "openr1_848a128a-3469-5002-8d38-19e4d05029c6",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: $6 \\cdot 99 k 、 l$ are natural numbers, in the numbers of the form $36^{k}-5^{l}$ find the number with the smallest absolute value, and prove that the number found is indeed the smallest.\n\nIn the numbers of the form $36^{k}-5^{l}$, find the number with the smallest absolute value, and... | math | {
"ground_truth": "11",
"style": "rule"
} | {
"index": "openr1_76864185-4f03-59c7-a8b1-e644e389126b",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Max loves to play video games. He played for 2 hours on Wednesday and the same time on Thursday. On Friday his friends came to play together with him, so Max spent over three hours more on playing than on Wednesday. How many hours on average has Max spent playing video games during these... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": "gsm8k_train_5332",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Seth lost 17.5 pounds. Jerome lost three times that many pounds and Veronica lost 1.5 pounds more than Seth. How many pounds did the 3 people lose in total?\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": "89",
"style": "rule"
} | {
"index": "gsm8k_train_1489",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: It takes $5$ seconds for a clock to strike $6$ o'clock beginning at $6:00$ o'clock precisely. If the strikings are uniformly spaced, how long, in seconds, does it take to strike $12$ o'clock?\n$\\textbf{(A)}9\\frac{1}{5}\\qquad \\textbf{(B )}10\\qquad \\textbf{(C )}11\\qquad \\textbf{(D ... | math | {
"ground_truth": "C",
"style": "rule"
} | {
"index": "openr1_8f6d1bea-7385-5e49-8d7c-7f91b180daf0",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Problem 1. On a sausage, thin rings are drawn across. If you cut along the red rings, you get 5 pieces; if along the yellow ones, you get 7 pieces; and if along the green ones, you get 11 pieces. How many pieces of sausage will you get if you cut along the rings of all three colors?\n\n$... | math | {
"ground_truth": "21",
"style": "rule"
} | {
"index": "openr1_2562132f-5df3-5873-8e7d-288fcad14a10",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Every member, starting from the third one, of two sequences $\\{a_n\\}$ and $\\{b_n\\}$ equals to the sum of two preceding ones. First members are: $a_1 = 1, a_2 = 2, b_1 = 2, b_2 = 1$. How many natural numbers are encountered in both sequences (may be on the different places)?\nAnswer: ... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": "openr1_fa1950fc-9922-58ac-b2cf-1f6e0d09a97e",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: In a basketball game, Cyrus made exactly eighty percent of the shots he attempted. He attempted twenty shots. How many times did he miss the shots?\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": "4",
"style": "rule"
} | {
"index": "gsm8k_train_2956",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: 16. If every digit of a positive integer is greater than the previous digit, it is called a \"monotonically increasing integer\". For example, $1357, 89$, and $5$ are all increasing integers, but $32, 1240$, and $466$ are not increasing integers. Then there are ( ) monotonically increasi... | math | {
"ground_truth": "C",
"style": "rule"
} | {
"index": "openr1_8132beab-e80d-5b30-a0a5-17bf71471310",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: 25) For every real number $x$, let $m(x)$ be the minimum of the numbers $2x, x+1, 10-2x$. The maximum value of $m(x)$ is:\n(A)\n(B) 2\n(C) 4 (D) 6\n(E) 8.\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<an... | math | {
"ground_truth": "C",
"style": "rule"
} | {
"index": "openr1_999bb70f-d58b-5e26-9bc3-c18940dcff4c",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Luis is driving 80 miles in 2 hours. How far will he go in 15 minutes?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}\"",
"role": "user"
}
] | math | {
"ground_truth": "10",
"style": "rule"
} | {
"index": "gsm8k_train_3952",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: 5. In a trapezoid with bases of lengths 1 and 3, an inscribed circle can be drawn. The maximum value of the angle between the two non-parallel sides is $\\qquad$.\n\nTranslate the above text into English, please retain the original text's line breaks and format, and output the translatio... | math | {
"ground_truth": "60^\\circ",
"style": "rule"
} | {
"index": "openr1_7d251f0a-e7f0-5da3-95ae-0a383c0d1d89",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Example 2 Given that $A$ is the sum of the digits of the decimal number $4568^{7777}$, $B$ is the sum of the digits of $A$, and $C$ is the sum of the digits of $B$, find $C$.\n\n\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exa... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"index": "openr1_89c889d3-95bf-5c16-87dc-7db0c63b43b4",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Zig wrote four times as many books as Flo. If Zig wrote 60 books, how many books did they write altogether?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}\"",
"role": "user"
}
] | math | {
"ground_truth": "75",
"style": "rule"
} | {
"index": "gsm8k_train_656",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: \\section*{Task 1 - 081211}\n\nAt the European Championships for women's rowing in August 1966, the GDR, as the most successful country, received 37 points, and the USSR received 36.5 points. Both countries received exactly one of the three medals awarded in each of the 5 disciplines: Si... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": "openr1_60ffc5bd-2f19-5d81-9a8b-5c8845c60659",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Emma can run all-around two arenas in 20 hours. If it takes Fernando twice as long to run his course, what's the total time it takes both of them to run all around the two arenas?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this ex... | math | {
"ground_truth": "60",
"style": "rule"
} | {
"index": "gsm8k_train_3497",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Example 45 (1994 British Mathematical Olympiad) Find the smallest positive integer $n>1$, such that the arithmetic mean of $1^{2}, 2^{2}, 3^{2}, \\cdots, n^{2}$ is a perfect square.\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this ... | math | {
"ground_truth": "337",
"style": "rule"
} | {
"index": "openr1_c9ee342f-4e17-58e6-8965-dfe5604d2c4b",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Steve bought $25 worth of groceries. He bought a gallon of milk for $3, two boxes of cereal for $3.5 each, 4 bananas for $.25 each, four apples that cost $.5 each and a number of boxes of cookies. The cookies cost twice as much per box as the gallon of milk. How many boxes of cookies did... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": "gsm8k_train_4435",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: 3. (8 points) During the New Year, Kangkang serves beer to guests. A bottle of beer can fill 4 glasses. When Qiuqiu pours the beer, there is always half a glass of foam in each glass, and the volume of the beer that turns into foam expands to 3 times its original volume. Therefore, when ... | math | {
"ground_truth": "B",
"style": "rule"
} | {
"index": "openr1_9fd1825e-d263-54f5-b9b9-3dd3b30a5d57",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: For example, there are 18 tickets to be distributed among four classes, A, B, C, and D, with the requirement that Class A gets at least 1 ticket but no more than 5 tickets, Class B gets at least 1 ticket but no more than 6 tickets, Class C gets at least 2 tickets but no more than 7 ticke... | math | {
"ground_truth": "140",
"style": "rule"
} | {
"index": "openr1_bd0075eb-da7d-59f3-90f6-dc3e0af4d4cd",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Example 3 Given 10 points on a circle, color six of them black and the remaining four white. They divide the circumference into arcs that do not contain each other. Rule: arcs with both ends black are labeled with the number 2; arcs with both ends white are labeled with the number $\\fra... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": "openr1_8bdc9666-7ec2-5877-8ca8-21e5d580f4db",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: a) Prove that $\\{x+y\\}-\\{y\\}$ can only be equal to $\\{x\\}$ or $\\{x\\}-1$ for any $x,y\\in \\mathbb{R}$.\n\nb) Let $\\alpha\\in \\mathbb{R}\\backslash \\mathbb{Q}$. Denote $a_n=\\{n\\alpha\\}$ for all $n\\in \\mathbb{N}^*$ and define the sequence $(x_n)_{n\\ge 1}$ by\n\n\\[x_n=(a_2... | math | {
"ground_truth": "0",
"style": "rule"
} | {
"index": "openr1_0e4d9868-2ea4-5511-9f8d-a1a976a3ef5c",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: A football club has a balance of $100 million. The club then sells 2 of its players at $10 million each, and buys 4 more at $15 million each. How much money is left in the club register in millions of dollars?\nAnswer: To solve this problem, let's think step by step. In the response, wri... | math | {
"ground_truth": "60",
"style": "rule"
} | {
"index": "gsm8k_train_5071",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: 6. Odd numbers from 1 to 49 are written in the form of a table\n\n| 1 | 3 | 5 | 7 | 9 |\n| ---: | ---: | ---: | ---: | ---: |\n| 11 | 13 | 15 | 17 | 19 |\n| 21 | 23 | 25 | 27 | 29 |\n| 31 | 33 | 35 | 37 | 39 |\n| 41 | 43 | 45 | 47 | 49 |\n\nFive numbers are chosen such that no two of the... | math | {
"ground_truth": "125",
"style": "rule"
} | {
"index": "openr1_e470072b-da6d-5d0a-a2f6-95f8930da9f5",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: The $n^{th}$ derivative of a function $f(x)$ (if it exists) is denoted by $f^{(n)}(x) $. Let $f(x)=\\frac{e^x}{x}$. \nSuppose $f$ is differentiable infinitely many times in $(0,\\infty) $. Then find $\\lim_{n \\to \\infty}\\frac{f^{(2n)}1}{(2n)!}$\nAnswer: To solve this problem, let's th... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": "openr1_fdb3068d-4c97-5ae9-9b4b-db7c085924a5",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Sam works at the Widget Factory, assembling Widgets. He can assemble 1 widget every 10 minutes. Jack from the loading dock can help assemble widgets when he doesn't have anything else to do. When he helps, they put together 2 complete widgets every 15 minutes. Recently the factory hired ... | math | {
"ground_truth": "30",
"style": "rule"
} | {
"index": "gsm8k_train_399",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Ursula earns $8.50 an hour working in a restaurant. She works 8 hours a day. If she works 20 days a month, determine her annual salary.\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}\"",
"rol... | math | {
"ground_truth": "16320",
"style": "rule"
} | {
"index": "gsm8k_train_5847",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: ## Condition of the problem\n\nCalculate the limit of the function:\n\n$$\n\\lim _{x \\rightarrow 0} \\sqrt{4 \\cos 3 x+x \\cdot \\operatorname{arctg}\\left(\\frac{1}{x}\\right)}\n$$\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": "openr1_c30106ec-c3ad-5ef8-a21d-530f3d02bc29",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: A restaurant makes 40 more pizzas than hot dogs every day. If the restaurant makes 60 hot dogs every day, how many pizzas and hot dogs will it make in June?\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": "4800",
"style": "rule"
} | {
"index": "gsm8k_train_4302",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: 2. Let $n$ be a natural number such that the numbers $n, n+2$, and $n+4$ are prime. Determine the smallest natural number which, when divided by $n$ gives a remainder of 1, when divided by $n+2$ gives a remainder of 2, and when divided by $n+4$ gives a remainder of 6.\nAnswer: To solve t... | math | {
"ground_truth": "97",
"style": "rule"
} | {
"index": "openr1_291cab79-76e7-5333-8b86-f7e14b0f659d",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: ## Problem Statement\n\nCalculate the limit of the function:\n\n$\\lim _{x \\rightarrow 0}\\left(\\frac{\\tan 4 x}{x}\\right)^{2+x}$\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}\"",
"role":... | math | {
"ground_truth": "16",
"style": "rule"
} | {
"index": "openr1_e495551a-2b72-599e-acac-1146be1f5693",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: ## Task A-2.5.\n\nLet $n$ be a natural number. The vertices of a regular $2n$-gon are alternately colored red and blue, and all its sides and diagonals are drawn. If the number of segments connecting vertices of the same color is equal to 3192, determine the number of segments connecting... | math | {
"ground_truth": "3249",
"style": "rule"
} | {
"index": "openr1_00273861-b78a-5d72-b5d6-1abdcd0a8dc9",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: 6.037. $\\sqrt[3]{1+\\sqrt{x}}+\\sqrt[3]{1-\\sqrt{x}}=2$.\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}\"",
"role": "user"
}
] | math | {
"ground_truth": "0",
"style": "rule"
} | {
"index": "openr1_58db9994-0e00-559e-b9e5-a967fd83f818",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: James can do a farmer's walk with 300 pounds per hand for 20 meters. He can lift 30% more if he only goes 10 meters. In addition, lifting straps give him another 20%. How much can he move with lifting straps for 10 meters if he increases his 20-meter distance without straps by 50 poun... | math | {
"ground_truth": "546",
"style": "rule"
} | {
"index": "gsm8k_train_6010",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Sarah bought 12 lollipops filled with caramel for a total of 3 dollars. She offered to share one-quarter of the lollipops with her friend, Julie, but Julie insisted on reimbursing Sarah for the cost of the lollipops shared. How much money, in cents, did Julie give Sarah to pay for the ... | math | {
"ground_truth": "75",
"style": "rule"
} | {
"index": "gsm8k_train_2475",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: In a hospital, there are 7 patients (Doc, Grumpy, Happy, Sleepy, Bashful, Sneezy, and Dopey) who need to be assigned to 3 doctors (Huey, Dewey, and Louie). In how many ways can the patients be assigned to the doctors so that each patient is assigned to exactly one doctor and each doctor ... | math | {
"ground_truth": "1806",
"style": "rule"
} | {
"index": "openr1_95dfdbb5-5250-5e87-943e-b0e3ed840bf2",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: 5. Scott stacks golfballs to make a pyramid. The first layer, or base, of the pyramid is a square of golfballs and rests on a flat table. Each golfball, above the first layer, rests in a pocket formed by four golfballs in the layer below (as shown in Figure 1). Each layer, including the ... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": "openr1_a4760826-2ce5-59e8-b600-107440246b91",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Example 3 Given $a b c<0$, let\n$$\nP=\\frac{a}{|a|}+\\frac{|b|}{b}+\\frac{c}{|c|}+\\frac{|a b|}{a b}+\\frac{a c}{|a c|}+\\frac{|b c|}{b c} \\text {. }\n$$\n\nFind the value of $a P^{3}+b P^{2}+c P+2009$.\nAnswer: To solve this problem, let's think step by step. In the response, write th... | math | {
"ground_truth": "2009",
"style": "rule"
} | {
"index": "openr1_7e4ea03e-baf5-5521-ac5a-7f646ee26811",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Alicia earns 20 dollars per hour, of which $1.45\\%$ is deducted to pay local taxes. How many cents per hour of Alicia's wages are used to pay local taxes?\n$\\mathrm{(A) \\ } 0.0029 \\qquad \\mathrm{(B) \\ } 0.029 \\qquad \\mathrm{(C) \\ } 0.29 \\qquad \\mathrm{(D) \\ } 2.9 \\qquad \\m... | math | {
"ground_truth": "E",
"style": "rule"
} | {
"index": "openr1_c7447f28-30be-5cca-bc67-20b68debcc19",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: To get ready for the new school year, Mary brought her two kids shopping. She bought her son James, a coat for $40 and two pairs of jeans. She bought his sister Jamie, a pair of shoes for $30. The total cost of the items was $110. If the two pairs of jeans for James cost the same price, ... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"index": "gsm8k_train_7359",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Tim drops a ball off the roof of a 96-foot tall building. The ball bounces to half the height from which it fell on each bounce. How high will it bounce on the fifth bounce?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact fo... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": "gsm8k_train_1918",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: 6. Variant 1. Grisha thought of such a set of 10 different natural numbers that their arithmetic mean is 16. What is the maximum possible value of the largest of the numbers he thought of?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer i... | math | {
"ground_truth": "115",
"style": "rule"
} | {
"index": "openr1_34a8b9d8-84fe-5c49-acf0-465c89360812",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: 11. When seven dice are rolled simultaneously, the probability that the sum of the numbers on the seven faces is 10 is equal to the probability that the sum of the numbers on the seven faces is $a(a \\neq 10)$. Then, $a=$ $\\qquad$\nAnswer: To solve this problem, let's think step by step... | math | {
"ground_truth": "39",
"style": "rule"
} | {
"index": "openr1_63b42101-7655-5564-9ed0-448bb9d3427a",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Find three distinct positive integers with the least possible sum such that the sum of the reciprocals of any two integers among them is an integral multiple of the reciprocal of the third integer.\nAnswer: To solve this problem, let's think step by step. In the response, write the final... | math | {
"ground_truth": "11",
"style": "rule"
} | {
"index": "openr1_c8eac8ec-382d-56c6-847f-96a1f3749d1a",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: An integer has two prime factors. It has 6 divisors, and the sum of its divisors is 28. Which number is this?\nAnswer: To solve this problem, let's think step by step. In the response, write the final answer in this exact format: \"\\boxed{<answer>}\"",
"role": "user"
}
] | math | {
"ground_truth": "12",
"style": "rule"
} | {
"index": "openr1_ae90190d-0321-588c-99f3-4df6518de423",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: 124 Given that the inverse function of $y=f(x)$ is $g(x)=\\log _{\\sin ^{2} \\theta}\\left(\\frac{1}{x}-\\cos ^{2} \\theta\\right)$, where the constant $\\theta \\in$ $\\left(0, \\frac{\\pi}{2}\\right)$, then the solution to the equation $f(x)=1$ is $\\qquad$ .\nAnswer: To solve this pro... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": "openr1_0a04ee78-dd2d-5f9e-adfe-80adf6b34db2",
"lang": "en",
"source": "openr1",
"split": "train"
} |
grpo_v1_en | [
{
"content": "Question: Rhonda, Sally, and Diane are members of their school's track team. The three of them run the 600-meter relay race together. Rhonda runs the first 200 meters of the race, Sally runs the second 200 meters of the race, and Diane runs the final 200 meters of the race. Rhonda can run 200 met... | math | {
"ground_truth": "71",
"style": "rule"
} | {
"index": "gsm8k_train_2037",
"lang": "en",
"source": "gsm8k",
"split": "train"
} |
GRPO Mixed-Language Math Data (half_A)
GRPO training data for cross-lingual math reasoning experiments, derived from a half_A 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 |
en10_zh90 |
train | 9879 | en=988, zh=8891 |
en50_es50 |
train | 9879 | en=4939, es=4940 |
en50_th50 |
train | 9879 | en=4939, th=4940 |
en50_zh50 |
train | 9879 | en=4939, zh=4940 |
en90_es10 |
train | 9879 | en=8891, es=988 |
en90_th10 |
train | 9879 | en=8891, th=988 |
en90_zh10 |
train | 9879 | en=8891, zh=988 |
es100 |
train | 9879 | es=9879 |
th100 |
train | 9878 | th=9878 |
zh100 |
train | 9879 | zh=9879 |
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_A split. Companion dataset: dai22rosso/grpo-mix-halfB
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-halfa", 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-halfa", repo_type="dataset")
print(os.listdir(f"{local}/data"))
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