data_source stringclasses 1
value | prompt listlengths 2 2 | ability stringclasses 2
values | reward_model dict | extra_info dict | metadata null |
|---|---|---|---|---|---|
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "211221121",
"style": "rule"
} | {
"index": 2500,
"need_tools_kwargs": true,
"question": "What code will be produced for this message in the new encoding where the letter А is replaced by 21, the letter Б by 122, and the letter В by 1?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "15:40",
"style": "rule"
} | {
"index": 2501,
"need_tools_kwargs": true,
"question": "In my office, there are two digital 24-hour clocks. One clock gains one minute every hour and the other loses two minutes every hour. Yesterday, I set both of them to the same time, but when I looked at them today, I saw that the time shown on one was 11:00 and the time on the other was 12:00. What time was it when I set the two clocks?\n\nA) 23:00\n\nB) 19:40\n\nC) 15:40\n\nD) 14:00\n\nE) 11:20",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 2502,
"need_tools_kwargs": true,
"question": "Do both films Juvenile Court (Film) and Murder In The Library have the directors that share the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 2503,
"need_tools_kwargs": true,
"question": "给定整数 $n \\geq 2$. 在 $n \\times n$ 方格表的每个小方格中各填入一个不超过 $n$ 的正整数, 使得每一行填入的数从左至右不减, 每一列填入的数从上至下不减。若两个有公共边的小方格填入的数相同，则称这两个（无序的）小方格为一个\"好对\"。求好对个数的最小可能值。当 $n = 4$ 时，求最小可能的好对个数。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{37}{49}",
"style": "rule"
} | {
"index": 2504,
"need_tools_kwargs": true,
"question": "A spinner with seven congruent sectors numbered from 1 to 7 is used. If Jane and her brother each spin the spinner once, and Jane wins if the absolute difference of their numbers is less than 4, what is the probability that Jane wins? Express your answer as a common fraction.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Paris",
"style": "rule"
} | {
"index": 2505,
"need_tools_kwargs": true,
"question": "Where was the place of death of Jules Richomme's father?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"index": 2506,
"need_tools_kwargs": true,
"question": "$A, B, C, D$ are points along a circle, in that order. $AC$ intersects $BD$ at $X$. If $BC=6$, $BX=4$, $XD=5$, and $AC=11$, find $AB$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 2507,
"need_tools_kwargs": true,
"question": "Are Qaleh Sangi, East Azerbaijan and Kal Masli both located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Sgt. Duke Lukela",
"style": "rule"
} | {
"index": 2508,
"need_tools_kwargs": true,
"question": "The actor who played Chino Ho Kelly on the T.V. series \"Hawaii Five-O\" Starred along side his son that played which character?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": 2509,
"need_tools_kwargs": true,
"question": "Given the line $y=k(x-1)+1$ intersects with the circle $C$: $x^{2}-4x+y^{2}+1=0$ at points $A$ and $B$, find the minimum value of $|AB|$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "David M. Evans",
"style": "rule"
} | {
"index": 2510,
"need_tools_kwargs": true,
"question": "Marley Shelton had a role in the coming-of-age baseball film directed by whom?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2007",
"style": "rule"
} | {
"index": 2511,
"need_tools_kwargs": true,
"question": "Evaluate \\( \\frac{1}{\\int _0^{\\frac{\\pi}{2}} \\cos ^{2006}x \\cdot \\sin 2008 x\\, dx} \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "21 August 1765",
"style": "rule"
} | {
"index": 2512,
"need_tools_kwargs": true,
"question": " Lady Augusta Gordon was the fourth illegitimate daughter of a man who was born when?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Vladimir Yakovlevich Shainsky",
"style": "rule"
} | {
"index": 2513,
"need_tools_kwargs": true,
"question": "Muse - is the first studio album of Valery Leontiev, the authors of the songs in the album are very well known poets and composers, including which Soviet and Russian composer, born on 12 December 1925?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "105",
"style": "rule"
} | {
"index": 2514,
"need_tools_kwargs": true,
"question": "On a grid sheet, a $1 \\times 5$ rectangle is initially shaded. Each minute, all unshaded cells that have at least one shaded neighboring cell are shaded. For example, after one minute, 17 cells will be shaded. How many cells will be shaded after 5 minutes?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "English",
"style": "rule"
} | {
"index": 2515,
"need_tools_kwargs": true,
"question": "What nationality is Edmund Mortimer (Died 1331)'s father?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1977",
"style": "rule"
} | {
"index": 2516,
"need_tools_kwargs": true,
"question": "Christmas Time was released on the single that was recorded in what year?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Polka",
"style": "rule"
} | {
"index": 2517,
"need_tools_kwargs": true,
"question": "What type od dance music inspired the band, \"The Kabalas\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 2518,
"need_tools_kwargs": true,
"question": "In the final of a dancing competition, each of the three members of the jury gives each of the five competitors 0 points, 1 point, 2 points, 3 points, or 4 points. No two competitors receive the same mark from any individual judge. The scores given by the judges to each competitor are partially shown in the table below:\n\n\\begin{tabular}{|c|c|c|c|c|c|}\n\\cline{2-6} \n\\multicolumn{1}{c|}{} & Adam & Berta & Clara & David & Emil \\\\\n\\hline \nI & 2 & 0 & & & \\\\\n\\hline \nII & & 2 & 0 & & \\\\\n\\hline \nIII & & & & & \\\\\n\\hline \nSum & 7 & 5 & 3 & 4 & 11 \\\\\n\\hline \n\\end{tabular}\n\nGiven that Adam knows all the sums of the marks and a few single marks, determine how many points Adam receives from judge III.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "a(a+b)",
"style": "rule"
} | {
"index": 2519,
"need_tools_kwargs": true,
"question": "Factorization: $a^{2}+ab=\\_\\_\\_\\_\\_\\_.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Sharpsburg",
"style": "rule"
} | {
"index": 2520,
"need_tools_kwargs": true,
"question": "the city that was site of the single bloodiest day in american history",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "January 19, 1962",
"style": "rule"
} | {
"index": 2521,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Texas Tornado (1928 Film)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "2006",
"style": "rule"
} | {
"index": 2522,
"need_tools_kwargs": true,
"question": "What year did the annual conference started by, among others, the man who ranked No. 4 on the \"Forbes\" Midas List of 2014, first start?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 2523,
"need_tools_kwargs": true,
"question": "Given the functions \\( A(x)=\\lfloor\\frac{x^2-20x+16}{4}\\rfloor \\), \\( B(x)=\\sin\\left(e^{\\cos\\sqrt{x^2+2x+2}}\\right) \\), \\( C(x)=x^3-6x^2+5x+15 \\), \\( H(x)=x^4+2x^3+3x^2+4x+5 \\), \\( M(x)=\\frac{x}{2}-2\\lfloor\\frac{x}{2}\\rfloor+\\frac{x}{2^2}+\\frac{x}{2^3}+\\frac{x}{2^4}+\\ldots \\), \\( N(x)=\\textrm{the number of integers that divide }\\left\\lfloor x\\right\\rfloor \\), \\( O(x)=|x|\\log |x|\\log\\log |x| \\), \\( T(x)=\\sum_{n=1}^{\\infty}\\frac{n^x}{\\left(n!\\right)^3} \\), and \\( Z(x)=\\frac{x^{21}}{2016+20x^{16}+16x^{20}} \\). Calculate the value of the expression:\n\\[\nC(C(A(M(A(T(H(B(O(N(A(N(Z(A(2016)))))))))))))).\n\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "New England",
"style": "rule"
} | {
"index": 2524,
"need_tools_kwargs": true,
"question": "In which region of the US did Marie Weaver earn her B.A.?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": 2525,
"need_tools_kwargs": true,
"question": "Real numbers $x,$ $y,$ and $z$ satisfy the following modified equality: \n\\[5(x + y + z) = x^2 + y^2 + z^2 + 3.\\]Let $M$ be the maximum value of $xy + xz + yz,$ and let $m$ be the minimum value of $xy + xz + yz.$ Find $M + 10m.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{37}{64}",
"style": "rule"
} | {
"index": 2526,
"need_tools_kwargs": true,
"question": "Consider the expression \\( xy^2 \\). If the values of \\( x \\) and \\( y \\) are each decreased by 25%, what is the change in the value of the expression? Please provide the new value of the expression and the amount by which it has decreased in relation to its original value.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Mohamed Hadid",
"style": "rule"
} | {
"index": 2527,
"need_tools_kwargs": true,
"question": "Which Jordanian-American real estate developer of Palestinian origin participated in Olympic Games representing Jordan?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Bojan Dugić",
"style": "rule"
} | {
"index": 2528,
"need_tools_kwargs": true,
"question": "What producer worked with artists such as J. Lo?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "45",
"style": "rule"
} | {
"index": 2529,
"need_tools_kwargs": true,
"question": "In triangle \\( ABC \\), there is a right angle at \\( C \\) and \\( \\angle A = 30^\\circ \\). The line segment \\( BD \\) is the angle bisector of \\( \\angle BAC \\), where point \\( D \\) lies on line segment \\( AC \\). Determine the measure of \\( \\angle BDC \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "96",
"style": "rule"
} | {
"index": 2530,
"need_tools_kwargs": true,
"question": "Find the integer \\(n\\), such that \\(-180 < n < 180\\), for which \\(\\tan n^\\circ = \\tan 276^\\circ.\\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "born 1985–89",
"style": "rule"
} | {
"index": 2531,
"need_tools_kwargs": true,
"question": "Kim Jong Un opened the Rungra People's Pleasure Ground with his wife, who was born when?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "738",
"style": "rule"
} | {
"index": 2532,
"need_tools_kwargs": true,
"question": "Find the number of cubic polynomials $p(x) = x^3 + ax^2 + bx + c,$ where $a, b,$ and $c$ are integers in $\\{-20,-19,-18,\\ldots,18,19,20\\},$ such that there is a unique integer $m \\not= 2$ with $p(m) = p(2).$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "418",
"style": "rule"
} | {
"index": 2533,
"need_tools_kwargs": true,
"question": "What is the sum of all of the two-digit primes that are greater than 12 but less than 99 and are still prime when their two digits are interchanged?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "vocalist, multi-instrumentalist and songwriter.",
"style": "rule"
} | {
"index": 2534,
"need_tools_kwargs": true,
"question": "What are Koshi Inaba and Martin Degville knowns for?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 2535,
"need_tools_kwargs": true,
"question": "Are both The Misfortunates and Do Not Disturb (2013 Film) from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1011",
"style": "rule"
} | {
"index": 2536,
"need_tools_kwargs": true,
"question": "There are $2022$ grids in a row. Two people, A and B, play a game with these grids. Initially, each odd-numbered grid from the left is marked with A's name, and each even-numbered grid from the left is marked with B's name. The players take turns performing the following action, starting with player A:\n\n- One should select two grids marked with their own name, such that these two grids are not adjacent, and all grids between them are marked with the opponent's name. Then, change the name in all the grids between those two grids to one's own name.\n\nThe game continues until one player can no longer make a move. Find the largest positive integer $m$ such that:\n\n- No matter how player B acts, player A can always ensure that there are at least $m$ grids marked with A's name.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "raw sexuality",
"style": "rule"
} | {
"index": 2537,
"need_tools_kwargs": true,
"question": " Portrait of Wally is a 1912 oil painting by a protégé of Gustav Klimt whose work is noted for its intensity and what?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 2538,
"need_tools_kwargs": true,
"question": "a train is moving at 6 / 7 of its usual speed . the train is 30 minutes too late . what is the usual time for the train to complete the journey ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 2539,
"need_tools_kwargs": true,
"question": "给定整数 n\\geq3. 在一个环形项链上有 m\\geq n+1 颗珠子. 我们想用 n 种颜色对珠子染色，使得在任意连续 n+1 颗珠子中所有颜色都至少出现一次. 求最大的正整数 m 使得这无法实现。答案的形式为 kn^2-mn-p，请给出k+m+p的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Paddington 2",
"style": "rule"
} | {
"index": 2540,
"need_tools_kwargs": true,
"question": "Which movie starring Peter Capaldi is set to release on 10 November 2017?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 2541,
"need_tools_kwargs": true,
"question": "An ordered quadruple of numbers is called \"ten-esque\" if it consists of four nonnegative integers whose sum is equal to $10$. Ana chooses a ten-esque quadruple $(a_1, a_2, a_3, a_4)$, and Banana tries to guess it. At each stage, Banana offers a ten-esque quadruple $(x_1, x_2, x_3, x_4)$, and Ana tells her the value of \\[|a_1-x_1| + |a_2-x_2| + |a_3-x_3| + |a_4-x_4|\\] How many guesses are needed for Banana to figure out the quadruple Ana chose?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 2542,
"need_tools_kwargs": true,
"question": "In this Number Wall, you add the numbers next to each other and write the sum in the block directly above the two numbers. Which number will be the block labeled '$n$'? [asy]\ndraw((0,0)--(8,0)--(8,2)--(0,2)--cycle);\ndraw((2,0)--(2,2));\ndraw((4,0)--(4,2));\ndraw((6,0)--(6,2));\ndraw((1,2)--(7,2)--(7,4)--(1,4)--cycle);\ndraw((3,2)--(3,4));\ndraw((5,2)--(5,4));\ndraw((2,4)--(2,6)--(6,6)--(6,4)--cycle);\ndraw((4,4)--(4,6));\ndraw((3,6)--(3,8)--(5,8)--(5,6));\nlabel(\"$n$\",(1,1));\nlabel(\"4\",(3,1));\nlabel(\"8\",(5,1));\nlabel(\"7\",(7,1));\nlabel(\"15\",(6,3));\nlabel(\"46\",(4,7));\n[/asy]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "72^\\circ",
"style": "rule"
} | {
"index": 2543,
"need_tools_kwargs": true,
"question": "In triangle $CAT$, we have $\\angle{ACT}=\\angle{ATC}$ and $\\angle{CAT}=36^\\circ$. If $\\overline{TR}$ bisects $\\angle{ATC}$, then how many degrees is $\\angle{CRT}$? [asy]\n/* AMC8 2000 #13 Problem */\ndraw((0,0)--(.5,1.75)--(1,0)--cycle);\ndraw((1,0)--(.15,.5));\nlabel(\"$R$\", (.15,.5), W);\nlabel(\"$C$\", (0,0), SW);\nlabel(\"$T$\", (1,0), SE);\nlabel(\"$A$\", (.5,1.75), N);\n[/asy]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0",
"style": "rule"
} | {
"index": 2544,
"need_tools_kwargs": true,
"question": "Simplify $(7^5 + 2^8)(2^3 - (-2)^3)^{7}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Golden Globe Award for New Star of the Year - Actor",
"style": "rule"
} | {
"index": 2545,
"need_tools_kwargs": true,
"question": "What award was won by the English actor who starred in the film for which the song \"Love Theme from Romeo and Juliet\" was written?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "112",
"style": "rule"
} | {
"index": 2546,
"need_tools_kwargs": true,
"question": "Let $D(n)$ denote the number of ways of writing the positive integer $n$ as a product\\[n = f_1\\cdot f_2\\cdots f_k,\\]where $k\\ge1$, the $f_i$ are integers strictly greater than $1$, and the order in which the factors are listed matters (that is, two representations that differ only in the order of the factors are counted as distinct). For example, the number $6$ can be written as $6$, $2\\cdot 3$, and $3\\cdot2$, so $D(6) = 3$. What is $D(96)$?\n$\\textbf{(A) } 112 \\qquad\\textbf{(B) } 128 \\qquad\\textbf{(C) } 144 \\qquad\\textbf{(D) } 172 \\qquad\\textbf{(E) } 184$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Vapors of Morphine",
"style": "rule"
} | {
"index": 2547,
"need_tools_kwargs": true,
"question": "The founder of Hi-n-Dry reformed, with other members of an alternative rock group that disbanded in 1999, into what new band?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Kirzhach",
"style": "rule"
} | {
"index": 2548,
"need_tools_kwargs": true,
"question": "Where did Yelena Gagarina's father die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Linda Chung",
"style": "rule"
} | {
"index": 2549,
"need_tools_kwargs": true,
"question": "All That is Bitter Sweet stars which actress that was born April 9, 1984?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "403",
"style": "rule"
} | {
"index": 2550,
"need_tools_kwargs": true,
"question": "已知 $\\left(1+x+x^{2}+x^{3}\\right)^{400}$\n$$\n\\begin{aligned}\n& =\\sum_{k=0}^{300} c_{4 k} x^{4 k}+\\sum_{k=0}^{299} c_{4 k+1} x^{4 k+1}+ \\\\\n& \\sum_{k=0}^{299} c_{4 k+2} x^{4 k+2}+\\sum_{k=0}^{299} c_{4 k+3} x^{4 k+3}. \\\\\n\\end{aligned}\n$$\n则 $\\sum\\limits_{k=0}^{300} c_{4 k}=$The standard form of the answer is $a^{b}$. What is the value of a + b?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "17",
"style": "rule"
} | {
"index": 2551,
"need_tools_kwargs": true,
"question": "There are 23 socks in a drawer: 8 white and 15 black. Every minute, Marina goes to the drawer and pulls out a sock. If at any moment Marina has pulled out more black socks than white ones, she exclaims, \"Finally!\" and stops the process.\n\nWhat is the maximum number of socks Marina can pull out before she exclaims, \"Finally!\"? The last sock Marina pulled out is included in the count.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Operation Watchtower",
"style": "rule"
} | {
"index": 2552,
"need_tools_kwargs": true,
"question": "What was the code name of the campaign where Joe Foss received a Medal of Honor?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"index": 2553,
"need_tools_kwargs": true,
"question": "A clothing store found in its sales that a certain brand of clothing can sell an average of 20 pieces per day, with a profit of $40 per piece. In order to prepare for \"Double Eleven,\" the mall decided to take appropriate price reduction measures to increase profits and reduce inventory. According to market research, if the price of each piece of clothing is reduced by $4, then an average of 8 more pieces can be sold per day. If you want to make a profit of $1200 per day on average by selling this type of clothing, how much should the price of each piece of clothing be reduced by?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 2554,
"need_tools_kwargs": true,
"question": "已知数列 $\\left\\{a_{n}\\right\\}$ 满足: $a_{1}=a, a_{n+1}=\\frac{5 a_{n}-8}{a_{n}-1}\\left(n \\in \\mathbf{N}_{+}\\right)$。\n若对任意的正整数 $n$, 都有 $a_{n}>3$, 求实数 $a$ 的取值范围。答案形如$(x, +\\infty)$，请给出x的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "November 7, 2016",
"style": "rule"
} | {
"index": 2555,
"need_tools_kwargs": true,
"question": "When did the performer of song Tower Of Song (Song) die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": 2556,
"need_tools_kwargs": true,
"question": "In the octagon COMPUTER exhibited below, all interior angles are either $90^{\\circ}$ or $270^{\\circ}$ and we have $C O=O M=M P=P U=U T=T E=1$. Point $D$ (not to scale in the diagram) is selected on segment $R E$ so that polygons COMPUTED and $C D R$ have the same area. Find $D R$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{33}{4}",
"style": "rule"
} | {
"index": 2557,
"need_tools_kwargs": true,
"question": "The sequence \\( \\{a_n\\} \\) satisfies \\( a_{n+1} = (-1)^n n - a_n \\) for \\( n = 1, 2, 3, \\ldots \\), and \\( a_{10} = a_1 \\). Find the maximum value of \\( a_n a_{n+1} \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Your Show of Shows",
"style": "rule"
} | {
"index": 2558,
"need_tools_kwargs": true,
"question": "Silent Movie is a 1976 American satirical comedy film co-written, directed by, and starring an American actor, writer, producer, director, comedian, and composer who began his career as a comic and writer for what early TV variety show?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "49",
"style": "rule"
} | {
"index": 2559,
"need_tools_kwargs": true,
"question": "The sequence 1, 2, 4, 5, 10, 11, 22, 23, 46, 47, $\\dots$ is formed as follows:\n\n$\\bullet$ Start with the number 1.\n\n$\\bullet$ Add one to get 2.\n\n$\\bullet$ Double that to get 4.\n\n$\\bullet$ Add one to get 5.\n\n$\\bullet$ Double that to get 10, and so on.\n\nWe repeat the steps of \"add one\" and \"double that\", alternating between them.\n\nThe 100th term will be of the form $3 \\cdot 2^k - 1.$ Compute $k.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "40\\%",
"style": "rule"
} | {
"index": 2560,
"need_tools_kwargs": true,
"question": "A number increased by a certain percentage gives 700. The original number is 500.00000000000006. What is the percentage increase?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "dog",
"style": "rule"
} | {
"index": 2561,
"need_tools_kwargs": true,
"question": "The Sussex Spaniel and English Cocker Spaniel are both what? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Acadian orogeny",
"style": "rule"
} | {
"index": 2562,
"need_tools_kwargs": true,
"question": "The Cardigan Pluton was built during what Middle Devonian period?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "10199",
"style": "rule"
} | {
"index": 2563,
"need_tools_kwargs": true,
"question": "In how many ways can we choose two different integers between -100 and 100 inclusive, so that their sum is greater than their product?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "The Hoover Nature Trail",
"style": "rule"
} | {
"index": 2564,
"need_tools_kwargs": true,
"question": "Where crushed limestone trail trail follow the Chicago, Rock Island and Pacific Railroad, also known as Rock Island Line or The Rock?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Rome",
"style": "rule"
} | {
"index": 2565,
"need_tools_kwargs": true,
"question": "Where was the director of film The Fascist born?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"index": 2566,
"need_tools_kwargs": true,
"question": "Find the number of points in the plane $xOy$ with natural coordinates $(x, y)$ that lie on the parabola $y=-\\frac{x^{2}}{3}+5x+72$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "The Skull",
"style": "rule"
} | {
"index": 2567,
"need_tools_kwargs": true,
"question": "Which film has the director born first, Grimm (Film) or The Skull?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 2568,
"need_tools_kwargs": true,
"question": "Are Niekerk and Streamwood, Illinois both located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac {1}{3}",
"style": "rule"
} | {
"index": 2569,
"need_tools_kwargs": true,
"question": "A three-digit natural number $abc$ is termed a \"convex number\" if and only if the digits $a$, $b$, and $c$ (representing the hundreds, tens, and units place, respectively) satisfy $a < b$ and $c < b$. Given that $a$, $b$, and $c$ belong to the set $\\{5, 6, 7, 8, 9\\}$ and are distinct from one another, find the probability that a randomly chosen three-digit number $abc$ is a \"convex number\".",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Tasman Sea",
"style": "rule"
} | {
"index": 2570,
"need_tools_kwargs": true,
"question": "Akuna Bay is located within the estuary that is a large inlet of what larger body of water?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "22x - 4",
"style": "rule"
} | {
"index": 2571,
"need_tools_kwargs": true,
"question": "What is \\[2-4x-6x^2+8+10x-12x^2-14+16x+18x^2\\] in terms of $x$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Skeeter Davis",
"style": "rule"
} | {
"index": 2572,
"need_tools_kwargs": true,
"question": "who sang the song end of the world",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0",
"style": "rule"
} | {
"index": 2573,
"need_tools_kwargs": true,
"question": "Let \\( f:[0,1) \\rightarrow \\mathbb{R} \\) be a function that satisfies the following condition: if\n\\[ x = \\sum_{n=1}^{\\infty} \\frac{a_n}{10^n} = .a_1 a_2 a_3 \\ldots \\]\nis the decimal expansion of \\( x \\) and there does not exist a positive integer \\( k \\) such that \\( a_n = 9 \\) for all \\( n \\geq k \\), then\n\\[ f(x) = \\sum_{n=1}^{\\infty} \\frac{a_n}{10^{2n}} . \\]\n\nDetermine \\( f'\\left(\\frac{1}{3}\\right) \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"index": 2574,
"need_tools_kwargs": true,
"question": "Let $p$ be a prime number. Call a positive integer $n$ interesting if \n\\[x^n-1=(x^p-x+1)f(x)+pg(x)\\]\nfor some polynomials $f$ and $g$ with integer coefficients.\na) Prove that the number $p^p-1$ is interesting.\nb) For which $p$ is $p^p-1$ the minimal interesting number? The answer should be given in the form of k + m, where k and m are the possible values of p.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "T = \\frac{280}{99}",
"style": "rule"
} | {
"index": 2575,
"need_tools_kwargs": true,
"question": "Let $G_n$ denote the modified Fibonacci sequence similar to Fibonacci but starting with $G_0 = 2$ and $G_1 = 1$, and each subsequent term defined as $G_{n+2} = G_{n+1} + G_n$. Compute\n\\[\n\\sum_{n=0}^{\\infty} \\frac{G_n}{5^n}.\n\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 2576,
"need_tools_kwargs": true,
"question": "What is the minimum value of the product $\\prod_{i=1}^{6} \\frac{a_{i}-a_{i+1}}{a_{i+2}-a_{i+3}}$ given that $\\left(a_{1}, a_{2}, a_{3}, a_{4}, a_{5}, a_{6}\\right)$ is a permutation of $(1,2,3,4,5,6)$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "two",
"style": "rule"
} | {
"index": 2577,
"need_tools_kwargs": true,
"question": "How many volumes were released of the book in which Lisa is teaching Bart to read in The Simpson's episode \"The Man in the Blue Flannel Pants?\"",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "51",
"style": "rule"
} | {
"index": 2578,
"need_tools_kwargs": true,
"question": "From the five numbers \\\\(1, 2, 3, 4, 5\\\\), select any \\\\(3\\\\) to form a three-digit number without repeating digits. When the three digits include both \\\\(2\\\\) and \\\\(3\\\\), \\\\(2\\\\) must be placed before \\\\(3\\\\) (not necessarily adjacent). How many such three-digit numbers are there?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "English",
"style": "rule"
} | {
"index": 2579,
"need_tools_kwargs": true,
"question": "What is the nationality of the composer of Lento?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Munich",
"style": "rule"
} | {
"index": 2580,
"need_tools_kwargs": true,
"question": "What is the place of birth of Joseph Ferdinand Of Bavaria's father?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "India",
"style": "rule"
} | {
"index": 2581,
"need_tools_kwargs": true,
"question": "Which country the composer of film Miss 420 is from?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Elmgreen and Dragset",
"style": "rule"
} | {
"index": 2582,
"need_tools_kwargs": true,
"question": "Which artists are responsible for the sculpture permanently installed northwest of Valentine, Texas and about 26 miles northwest of a city in the high desert of the Trans-Pecos, located between the Davis Mountains and Big Bend National Park?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "856",
"style": "rule"
} | {
"index": 2583,
"need_tools_kwargs": true,
"question": "Nine hundred forty-three minus eighty-seven equals\n(A) -1030\n(B) -856\n(C) 770\n(D) 1030\n(E) 856",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "August 3, 1942",
"style": "rule"
} | {
"index": 2584,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Charm School (Film)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Hollywood",
"style": "rule"
} | {
"index": 2585,
"need_tools_kwargs": true,
"question": "Where did the director of film Canyon Of The Fools die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "U.S. Route 22",
"style": "rule"
} | {
"index": 2586,
"need_tools_kwargs": true,
"question": "Which Route 22 runs through a major city?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "the VOR navigational beacon BNN",
"style": "rule"
} | {
"index": 2587,
"need_tools_kwargs": true,
"question": "Which beacon is located 2.5 miles south of Hemel Hempstead, Hertfordshire?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 2588,
"need_tools_kwargs": true,
"question": "Are Khan Bolaghi and Eslavi located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Bornila Chatterjee",
"style": "rule"
} | {
"index": 2589,
"need_tools_kwargs": true,
"question": "Who directed a 2017 film starring Antonio Aakeel?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 2590,
"need_tools_kwargs": true,
"question": "Are Müswangen and Hajji Fattah-e Beg both located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "film director",
"style": "rule"
} | {
"index": 2591,
"need_tools_kwargs": true,
"question": "What do Sekhar Kammula and Errol Morris have in common",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "710",
"style": "rule"
} | {
"index": 2592,
"need_tools_kwargs": true,
"question": "Let $S$ be a set with six elements. Let $\\mathcal{P}$ be the set of all subsets of $S.$ Subsets $A$ and $B$ of $S$, not necessarily distinct, are chosen independently and at random from $\\mathcal{P}$. The probability that $B$ is contained in one of $A$ or $S-A$ is $\\frac{m}{n^{r}},$ where $m$, $n$, and $r$ are positive integers, $n$ is prime, and $m$ and $n$ are relatively prime. Find $m+n+r.$ (The set $S-A$ is the set of all elements of $S$ which are not in $A.$)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "65",
"style": "rule"
} | {
"index": 2593,
"need_tools_kwargs": true,
"question": "A bus started its journey from Mumbai and reached Pune with its average speed of 60 km/hr. If the average speed of the bus is increased by 5 km/hr, it will take 1 hour to cover the same distance. How many minutes did it take for the bus to reach Pune initially?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "32",
"style": "rule"
} | {
"index": 2594,
"need_tools_kwargs": true,
"question": "某校举办数学文化节，据统计当天共有 980 多（不少于 980，小于 990）名同学进校参观，每位同学进校参观一段时间后离开（之后不会再进来）. 若无论这些同学以怎样的时间安排参观，我们都能找到 k 位同学，使得要么这 k 位同学在某个时间都在校园内参观，要么任何时间他们中都没有两个人同时在校园内参观. 求 k 的最大值.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0.246153846153846",
"style": "rule"
} | {
"index": 2595,
"need_tools_kwargs": true,
"question": "In triangle \\( \\triangle ABC \\), \\(\\sin A = \\frac{3}{5}\\) and \\(\\cos B = \\frac{5}{13}\\). What is the value of \\(\\cos C\\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": 2596,
"need_tools_kwargs": true,
"question": "Grandpa was pulling a turnip, and sequentially he was joined by Grandma, Granddaughter, Zhuchka (the dog), and the cat. They pull and pull, but they cannot pull it out! The cat called the mouse. They pull and pull, and they finally pulled the turnip out! It is known that each subsequent participant pulls one-quarter less strongly than the previous one. How many men from the village, each pulling with the same strength as Grandpa, should be invited so that, together with Grandpa and the cat, they can pull out the turnip?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0 < m < 1",
"style": "rule"
} | {
"index": 2597,
"need_tools_kwargs": true,
"question": "Given the hyperbola \\(C: x^{2}+2x-my^{2}=0\\) (with \\(m>0\\)) that passes through the origin \\(O\\), determine if there exist two points \\(A\\) and \\(B\\) on \\(C\\) such that \\(\\triangle AOB\\) is an isosceles right triangle with \\(O\\) as the right angle vertex. If no such points exist, explain why; if such points do exist, determine how many distinct isosceles right triangles there are.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "90^\\circ",
"style": "rule"
} | {
"index": 2598,
"need_tools_kwargs": true,
"question": "The ratio of the measures of the acute angles of a right triangle is $8:1$. In degrees, what is the measure of the largest angle of the triangle?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "604575",
"style": "rule"
} | {
"index": 2599,
"need_tools_kwargs": true,
"question": "Given an acute-angled triangle \\(ABC\\) where the angle bisector \\(AD\\) is equal to side \\(AC\\) and is perpendicular to the segment \\(OH\\) (with \\(O\\) as the circumcenter and \\(H\\) as the orthocenter of triangle \\(ABC\\)), determine the measures of the angles of triangle \\(ABC\\).",
"split": "train"
} | null |
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