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": "\\frac{9}{2}",
"style": "rule"
} | {
"index": 9700,
"need_tools_kwargs": true,
"question": "To assess the shooting level of a university shooting club, an analysis group used stratified sampling to select the shooting scores of $6$ senior members and $2$ new members for analysis. After calculation, the sample mean of the shooting scores of the $6$ senior members is $8$ (unit: rings), with a variance of $\\frac{5}{3}$ (unit: rings$^{2}$). The shooting scores of the $2$ new members are $3$ rings and $5$ rings, respectively. What is the variance of the shooting scores of these $8$ members?",
"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": 9701,
"need_tools_kwargs": true,
"question": "求所有的正实数 $a$，使得存在正整数 $n$ 及 $n$ 个互不相交的无限集合 $A_1, A_2, \\cdots, A_n$，满足 $A_1 \\cup A_2 \\cup \\cdots \\cup A_n = \\mathbb{Z}$，且对每个 $A_i$ 中的任意两数 $b > c$，都有 $b - c \\geq a^i$。答案的形式为 $(0, a)$，请给出 $a$ 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": "American",
"style": "rule"
} | {
"index": 9702,
"need_tools_kwargs": true,
"question": "Which country the director of film Two Against The World (1936 Film) 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... | math | {
"ground_truth": "18",
"style": "rule"
} | {
"index": 9703,
"need_tools_kwargs": true,
"question": "Determine the distance. Jones set out from point $A$ towards point $B$ and on the road, 10 km from $A$, met his friend Kenward, who had set out from $B$ at the same time. Upon reaching $B$, Jones immediately turned back. Kenward did the same upon reaching $A$. The friends met again, but this time 12 km from $B$. It is understood that each walked at a constant speed. What is the distance between $A$ and $B$?",
"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": "2(a^2 + b^2 + c^2) - 14R^2",
"style": "rule"
} | {
"index": 9704,
"need_tools_kwargs": true,
"question": "Let $H$ be the orthocenter of triangle $ABC.$ For all points $P$ on the circumcircle of triangle $ABC,$\n\\[PA^2 + PB^2 + PC^2 - PH^2\\]is a constant. Express this constant in terms of the side lengths $a,$ $b,$ $c$ and circumradius $R$ of triangle $ABC.$",
"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": "411",
"style": "rule"
} | {
"index": 9705,
"need_tools_kwargs": true,
"question": "Greta Grasshopper sits on a long line of lily pads in a pond. From any lily pad, Greta can jump $5$ pads to the right or $3$ pads to the left. What is the fewest number of jumps Greta must make to reach the lily pad located $2023$ pads to the right of her starting position?",
"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": "80",
"style": "rule"
} | {
"index": 9706,
"need_tools_kwargs": true,
"question": "the length of the rectangular field is double its width . inside the field there is square shaped pond 8 m long . if the area of the pond is 1 / 50 of the area of the field . what is the length of the field ?",
"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": "Jean-François Pouliot",
"style": "rule"
} | {
"index": 9707,
"need_tools_kwargs": true,
"question": "The actor that plays Rajesh Koothrappali in the sitcom \"The Big Bang Theory\" also stars with Vinay Virmani in a 2014 film directed by who?",
"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": "24",
"style": "rule"
} | {
"index": 9708,
"need_tools_kwargs": true,
"question": "If \\( n \\) is a positive integer, the symbol \\( n! \\) (which is read \"\\( n \\) factorial\") represents the product of the integers from 1 to \\( n \\), inclusive. For example, \\( 5! = (1)(2)(3)(4)(5) \\) or \\( 5! = 120 \\), which ends with exactly 1 zero. For how many integers \\( m \\), with \\( 1 \\leq m \\leq 30 \\), is it possible to find a value of \\( n \\) so that \\( n! \\) ends with exactly \\( m \\) zeros?\n(A) 30\n(B) 27\n(C) 28\n(D) 24\n(E) 25",
"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": 9709,
"need_tools_kwargs": true,
"question": "定义运算 a\\ast b=ab-5\\left[\\df{ab}{5}\\right]. 集合 A=\\{0,1,2,3,4\\}，双射 f:A\\rightarrow A 满足 f(a\\ast b)=f(a)\\ast f(b)，则满足条件的 f 共有__________个.",
"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": "256",
"style": "rule"
} | {
"index": 9710,
"need_tools_kwargs": true,
"question": "Given $\\triangle ABC$ with $\\angle A = 15^{\\circ}$, let $M$ be the midpoint of $BC$ and let $E$ and $F$ be points on ray $BA$ and $CA$ respectively such that $BE = BM = CF$. Let $R_1$ be the radius of $(MEF)$ and $R_2$ be the radius of $(AEF)$. If $\\frac{R_1^2}{R_2^2} = a - \\sqrt{b + \\sqrt{c}}$ where $a, b, c$ are integers, find $a^{b^{c}}$.",
"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": "10.95",
"style": "rule"
} | {
"index": 9711,
"need_tools_kwargs": true,
"question": "In the quadrilateral \\(ABCD\\), \\(AB = 2\\), \\(BC = 4\\), \\(CD = 5\\). Find its area given that it is both circumscribed and inscribed.",
"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": "Melissa Stribling",
"style": "rule"
} | {
"index": 9712,
"need_tools_kwargs": true,
"question": "Who is the mother of the director of film Rogue Trader (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": "his musical composition",
"style": "rule"
} | {
"index": 9713,
"need_tools_kwargs": true,
"question": "What is the artist of Guerolito most known 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... | math | {
"ground_truth": "\\$170",
"style": "rule"
} | {
"index": 9714,
"need_tools_kwargs": true,
"question": "Gina had $400. She gave 1/4 of her money to her mom, used 1/8 of her money to buy clothes, gave 1/5 of her money to a charity, and kept the remaining money. How much did Gina keep?",
"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": "Mayfair",
"style": "rule"
} | {
"index": 9715,
"need_tools_kwargs": true,
"question": "Which magazine, the British response to magazines such as \"Playboy\" and \"Penthouse\" did horror author Graham Masterton edit?",
"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": "8th",
"style": "rule"
} | {
"index": 9716,
"need_tools_kwargs": true,
"question": "In a class of boys and girls, Vikas's rank is 9th and Tanvi's rank is 17th. There are 2 girls between Tanvi and Vikas in the order of rank. What is Tanvi's rank among the girls in that class if she is 8th from the top?",
"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": 9717,
"need_tools_kwargs": true,
"question": "Three players agree that the loser owes the winners an amount equal to the amount of money each winner has. After three rounds, each player has lost once. How much money did they start with if at the end of the game each of them had 8 kronor?",
"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": "14",
"style": "rule"
} | {
"index": 9718,
"need_tools_kwargs": true,
"question": "Given the vertices of a triangle are A(-4, 0), B(24, 0), and C(0, 2). \nFind the area $S$ of triangle $ABC$.",
"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": "157.68",
"style": "rule"
} | {
"index": 9719,
"need_tools_kwargs": true,
"question": "120 kg of alloy A is mixed with 180 kg of alloy B and 100 kg of alloy C. If alloy A has lead and tin in the ratio 2:3, alloy B has tin and copper in the ratio 3:5, and alloy C has lead, tin, and copper in the ratio 3:2:6, then what is the amount of tin in the new mixed alloy?",
"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": "26 February 1980",
"style": "rule"
} | {
"index": 9720,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film La Vispa Teresa?",
"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": 9721,
"need_tools_kwargs": true,
"question": "Do director of film Alice Of Wonderland In Paris and director of film Baseraa have 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": "6",
"style": "rule"
} | {
"index": 9722,
"need_tools_kwargs": true,
"question": "如图 1, 设 $P$ 为 $\\triangle A B C$ 内一点, 且 $\\boldsymbol{A P}$ $=\\frac{2}{5} \\boldsymbol{A B}+\\frac{1}{5} \\boldsymbol{A} \\boldsymbol{C}$ 。求 $\\frac{S_{\\triangle A B P}}{S_{\\triangle A B C}}$ 的值。答案应为\\frac{k}{m}的形式，请给出k+m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... | math | {
"ground_truth": "64",
"style": "rule"
} | {
"index": 9723,
"need_tools_kwargs": true,
"question": "$A_1, A_2, \\ldots, A_n$ are subsets of a set $S$ with $|S| = 2019$ such that the union of any three of them equals $S$, but the union of any two does not equal $S$. Find the maximum value of $n$.",
"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": "Ghostface Killah",
"style": "rule"
} | {
"index": 9724,
"need_tools_kwargs": true,
"question": "Who sang All I Got is You, and is also Dennis Coles?",
"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": "4.5",
"style": "rule"
} | {
"index": 9725,
"need_tools_kwargs": true,
"question": "A rubber band is stretched over pegs arranged on a board at coordinates (0, 0), (0, 2), (3, 2), and (3, 3), forming a quadrilateral. Calculate the area of this quadrilateral in square units.",
"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": "7.5",
"style": "rule"
} | {
"index": 9726,
"need_tools_kwargs": true,
"question": "Given \\( x_{k}=\\tan \\frac{k \\pi}{17} \\) for \\( k=1,2, \\cdots, 16 \\), find the value of \\( \\sum_{k=1}^{16} \\frac{1}{1+x_{k}^{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": "\\frac{11}{28}",
"style": "rule"
} | {
"index": 9727,
"need_tools_kwargs": true,
"question": "Let \\( A, B, C, \\) and \\( D \\) be four different digits selected from the set \\( \\{1, 2, 3, 4, 5, 6, 7, 8\\} \\). Determine the minimum possible value of the expression \\( \\frac{A}{B} + \\frac{C}{D} \\) by selecting appropriate values for \\( A, B, C, \\) and \\( D \\).",
"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": "C: 3038",
"style": "rule"
} | {
"index": 9728,
"need_tools_kwargs": true,
"question": "Given a sequence $\\{a_{n}\\}$ such that for any $k\\in N^{*}$, $a_{k}+a_{k+1}=3k+2$, then $a_{2}+a_{2023}=\\left(\\ \\ \\right)$\n\nA: $3032$\n\nB: $3035$\n\nC: $3038$\n\nD: $3041$",
"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": "38",
"style": "rule"
} | {
"index": 9729,
"need_tools_kwargs": true,
"question": "Christine has 4 cats, 3 dogs, and 2 parrots. The weights of her cats are 7, 10, 13, and 15 pounds. The first dog weighs 2 pounds less than the sum of the cats' weights, the second dog weighs 7 pounds more than the total weight of the cats, and the third dog's weight is half of the combined weight of the first two dogs. The total weight of the parrots is in a 2:3 ratio to the combined weight of all three dogs. What is the weight of the first parrot?",
"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": "0.9838699100999074",
"style": "rule"
} | {
"index": 9730,
"need_tools_kwargs": true,
"question": "Find\n\\[\\sin \\left( \\sin^{-1} \\frac{3}{5} + \\tan^{-1} 2 \\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... | qa | {
"ground_truth": "Austrian",
"style": "rule"
} | {
"index": 9731,
"need_tools_kwargs": true,
"question": "What nationality is the director of film The Gypsy Girl At The Alcove?",
"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": 9732,
"need_tools_kwargs": true,
"question": "Are Darreh Besar and Malian, Hamadan 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": "South Kesteven Sports Stadium",
"style": "rule"
} | {
"index": 9733,
"need_tools_kwargs": true,
"question": "Harry Sillito ended his career for the team that plays at what stadium?",
"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, 3]",
"style": "rule"
} | {
"index": 9734,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, let $a$, $b$, and $c$ be the sides opposite to angles $A$, $B$, and $C$ respectively. Given that $\\frac{a}{b}\\cos C + \\frac{c}{2b} = 1$.\n\n1. Find the measure of angle $A$.\n2. If $a = 1$, find the range of the perimeter $l$ of $\\triangle ABC$.",
"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": "county-level city",
"style": "rule"
} | {
"index": 9735,
"need_tools_kwargs": true,
"question": "Renhuai and Laixi 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": "Sudar Na Paralelama",
"style": "rule"
} | {
"index": 9736,
"need_tools_kwargs": true,
"question": "Which film has the director who is older, My Big Fat Greek Wedding or Sudar Na Paralelama?",
"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": "5 December 1903",
"style": "rule"
} | {
"index": 9737,
"need_tools_kwargs": true,
"question": "What is the date of birth of Louisa Ghijs's husband?",
"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": "206250",
"style": "rule"
} | {
"index": 9738,
"need_tools_kwargs": true,
"question": "What is the constant term in the expansion of $\\left(\\sqrt{x}+\\dfrac{5}{x}\\right)^{11}$?",
"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": "Punica granatum,",
"style": "rule"
} | {
"index": 9739,
"need_tools_kwargs": true,
"question": "What is the botanical name of the fruit called nar in Serbian ?",
"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": "Nicholas Stoller",
"style": "rule"
} | {
"index": 9740,
"need_tools_kwargs": true,
"question": "Who is the producer of the film which released on June 4, 2010 and Jake Johnson has an appearance in that 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": "Timothy Francis Leary",
"style": "rule"
} | {
"index": 9741,
"need_tools_kwargs": true,
"question": "Who was from farther West, Timothy Leary or Jaroslav Seifert?",
"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": 9742,
"need_tools_kwargs": true,
"question": "Given the ellipse \\( C \\) passing through the point \\( M(1,2) \\) with foci at \\((0, \\pm \\sqrt{6})\\) and the origin \\( O \\) as the center, a line \\( l \\) parallel to \\( OM \\) intersects the ellipse \\( C \\) at points \\( A \\) and \\( B \\). Find the maximum area of \\( \\triangle OAB \\).",
"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": "4064256",
"style": "rule"
} | {
"index": 9743,
"need_tools_kwargs": true,
"question": "A frog is located at the origin of the Cartesian coordinate system. Every second, the frog jumps either horizontally or vertically to one of the four adjacent points with integer coordinates. Determine the number of different points where the frog can be located after 2015 seconds.",
"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": "Jaideva Singh",
"style": "rule"
} | {
"index": 9744,
"need_tools_kwargs": true,
"question": "The Indian musicologist who wrote the first modern treatise on Hindustani classical music influenced what person who played a key role in the development of All India Radio? ",
"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": "23 January 1897",
"style": "rule"
} | {
"index": 9745,
"need_tools_kwargs": true,
"question": "When was Emilie Schenkl's husband 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... | qa | {
"ground_truth": "Vienna",
"style": "rule"
} | {
"index": 9746,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film The Convicted?",
"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": "Italian",
"style": "rule"
} | {
"index": 9747,
"need_tools_kwargs": true,
"question": "What nationality is Princess Maria Bona Of Savoy-Genoa'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": "519.44",
"style": "rule"
} | {
"index": 9748,
"need_tools_kwargs": true,
"question": "A 140 m long train is running at a speed of 55 km/hr. It crossed a platform of a certain length in 43.196544276457885 seconds. What is the length of the platform?",
"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": 9749,
"need_tools_kwargs": true,
"question": "Are the directors of both films You Know What Sailors Are (1928 Film) and Give Us The Money 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": "48",
"style": "rule"
} | {
"index": 9750,
"need_tools_kwargs": true,
"question": "In a basketball league, there are two four-team divisions. Each team plays every other team in its own division \\(N\\) games and each team in the other division \\(M\\) games, under the conditions that \\(N > 3M\\) and \\(M > 5\\). Each team plays a total of 88 games in the season. Determine how many games does a team play within its own division.",
"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 September 1, 1977",
"style": "rule"
} | {
"index": 9751,
"need_tools_kwargs": true,
"question": "When was the actress who starred in the Broadway Rose production of \"Bye Bye Birdie\" 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... | qa | {
"ground_truth": "Atlantic Records",
"style": "rule"
} | {
"index": 9752,
"need_tools_kwargs": true,
"question": "Which record company released an album by Nick Ruth whose genre largely features acoustic guitars and slow-to-mid tempos?",
"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": "documentary",
"style": "rule"
} | {
"index": 9753,
"need_tools_kwargs": true,
"question": "What do films The Seafarers and Out of Place 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... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 9754,
"need_tools_kwargs": true,
"question": "Are Mount Moriah Missionary Baptist Church and St. John'S Catholic Church (Fryburg, Ohio) 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": "136",
"style": "rule"
} | {
"index": 9755,
"need_tools_kwargs": true,
"question": "A rectangular board has 10 columns and is numbered in a similar manner to a chessboard, beginning in the upper left corner and moving left to right. A student shades square 1, then skips one square and shades square 3, skips two squares and shades square 6, skips three squares and shades square 10, and continues this pattern of skipping \\(n\\) squares (where \\(n\\) is the step number starting from 0) before shading the next square. Determine the number of the shaded square that first results in having at least one shaded square in each of the 10 columns.",
"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": "12 April 1912",
"style": "rule"
} | {
"index": 9756,
"need_tools_kwargs": true,
"question": "When was the director of film The Demise Of Father Mouret 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... | qa | {
"ground_truth": "1,234",
"style": "rule"
} | {
"index": 9757,
"need_tools_kwargs": true,
"question": "What was the population of the village and civil parish in 2011 where South Humber Bank Power Station is located?",
"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": 9758,
"need_tools_kwargs": true,
"question": "Do director of film Pearl In The Crown and director of film Serge Panine (1939 Film) 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... | qa | {
"ground_truth": "Daniel Ray Ainge",
"style": "rule"
} | {
"index": 9759,
"need_tools_kwargs": true,
"question": "What NBA Executive of the Year is currently a general manager and President of Basketball Operations for the Boston Celtics? ",
"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": "Patricia Strasburger",
"style": "rule"
} | {
"index": 9760,
"need_tools_kwargs": true,
"question": "Who is the voice actor for Tsubomi in all three seasons of Mob Psycho 100's German dub?",
"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": "six",
"style": "rule"
} | {
"index": 9761,
"need_tools_kwargs": true,
"question": "How many impromptu locations did Paul McCartney go to promote his fourteenth solo album?",
"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": "Battle of the Scarpe",
"style": "rule"
} | {
"index": 9762,
"need_tools_kwargs": true,
"question": "What battle took place during an offensive that pushed the Germans out of France, forcing them to retreat beyond the Hindenburg Line?",
"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_n = (n-1) \\cdot 2^{n+1} + \\frac{n^2+n+4}{2}",
"style": "rule"
} | {
"index": 9763,
"need_tools_kwargs": true,
"question": "Given a sequence $\\{a_n\\}$ with $a_1=3$, $a_2=5$, and that $\\{a_n-1\\}$ is a geometric progression:\n(Ⅰ) Find the general term formula for the sequence $\\{a_n\\}$.\n(Ⅱ) If $b_n=na_n$, find the sum of the first $n$ terms of the sequence $\\{b_n\\}$, denoted $T_n$.",
"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": "8",
"style": "rule"
} | {
"index": 9764,
"need_tools_kwargs": true,
"question": "Given $F_{1}$ and $F_{2}$ are two foci of the ellipse $C$: $\\frac{{x}^{2}}{16}+\\frac{{y}^{2}}{4}=1$, $P$ and $Q$ are two points on $C$ symmetric with respect to the origin, and $|PQ|=|F_{1}F_{2}|$, then the area of quadrilateral $PF_{1}QF_{2}$ is ____.",
"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": "2011 Baylor Bears",
"style": "rule"
} | {
"index": 9765,
"need_tools_kwargs": true,
"question": "What team lost to the Kansas State Wildcats in the first game of the conference, but finished the season tied for third place with Oklahoma?",
"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": 9766,
"need_tools_kwargs": true,
"question": "给定素数 $p, p \\equiv 2(\\bmod 3)$ 。求同时满足下面两个条件的三元有序数组 $(a, b, c)$ 的数目:\n(1) $a, b, c \\in\\{0,1,2, \\cdots, p-1\\}$;\n(2) 三个数 $a(b+1), b(c+1), c(a+1)$ 除以 $p$ 所得的余数相同。\n原始答案的形式为 $kp-2$，请给出 $k$ 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... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"index": 9767,
"need_tools_kwargs": true,
"question": "Consider the equations $x^2+y^2=16$ and $xy=\\tfrac{9}{2}.$ Find the sum, over all ordered pairs $(x,y)$ satisfying these equations, of $|x+y|.$",
"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": "Nikto, Krome Nas...",
"style": "rule"
} | {
"index": 9768,
"need_tools_kwargs": true,
"question": "Which film has the director who was born later, Calling All Marines or Nikto, Krome Nas...?",
"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": "Rolfe R. Kent (born 1963) is a British film score composer",
"style": "rule"
} | {
"index": 9769,
"need_tools_kwargs": true,
"question": "Rolfe R. Kent who produced the original score of Legally Blonde was born in what 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": "Melbourne",
"style": "rule"
} | {
"index": 9770,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Final Cut (1980 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... | math | {
"ground_truth": "54^\\circ",
"style": "rule"
} | {
"index": 9771,
"need_tools_kwargs": true,
"question": "In the diagram, $\\angle ABC = 90^\\circ$. What is the value of $y$?\n\n[asy]\nsize(100);\ndraw((0,1)--(0,0)--(1,0));\ndraw((0,0)--(.9,.47));\ndraw((0,.1)--(.1,.1)--(.1,0));\nlabel(\"$A$\",(0,1),N); label(\"$B$\",(0,0),SW); label(\"$C$\",(1,0),E); label(\"$D$\",(.9,.47),NE);\n\nlabel(\"$3y^\\circ$\",(.15,.2)); label(\"$2y^\\circ$\",(.32,-.02),N);\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": "86",
"style": "rule"
} | {
"index": 9772,
"need_tools_kwargs": true,
"question": "Let $Q(x)=a_0+a_1x+\\dots+a_nx^n$ be a polynomial with integer coefficients, and $0\\le a_i<3$ for all $0\\le i\\le n$.\n\nGiven that $Q(\\sqrt{3})=20+17\\sqrt{3}$, compute $Q(2)$.",
"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": "4",
"style": "rule"
} | {
"index": 9773,
"need_tools_kwargs": true,
"question": "In a square \\(ABCD\\) with a side length of \\(4\\), points \\(F\\) and \\(E\\) are the midpoints of sides \\(AB\\) and \\(CD\\), respectively. If point \\(E\\) is connected to vertices \\(A\\) and \\(B\\), and point \\(F\\) is connected to vertices \\(C\\) and \\(D\\), determine the area of the rhombus \\(FGEH\\) formed in the center of the square.",
"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": 9774,
"need_tools_kwargs": true,
"question": "The roots of the equation\n\\[x^5 - 40x^4 + Px^3 + Qx^2 + Rx + S = 0\\]are in geometric progression. The sum of their reciprocals is 10. Compute $|S|.$",
"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": "Tell Me In The Sunlight",
"style": "rule"
} | {
"index": 9775,
"need_tools_kwargs": true,
"question": "Which film whose director was born first, Tell Me In The Sunlight or Il Toro?",
"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": "Joseph Patrick \"Joe\" Lockhart",
"style": "rule"
} | {
"index": 9776,
"need_tools_kwargs": true,
"question": "Who worked for a democratic presidential nomination in 1988?",
"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": "Na Do-hyang",
"style": "rule"
} | {
"index": 9777,
"need_tools_kwargs": true,
"question": "Lee Mi-sook (born April 2, 1960) is a South Korean actress, one of the best-known actresses of 1980s Korean cinema, Lee's most famous films from this era include which of Lee Doo-yong's, 1986 South Korean drama filmLee Mi-sook (born April 2, 1960) is a South Korean actress, one of the best-known actresses of 1980s Korean cinema, Lee's most famous films from this era include which of Lee Doo-yong's, 1986 South Korean drama film, Mulberry, based on the eponymous classic story, by who?",
"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": "24",
"style": "rule"
} | {
"index": 9778,
"need_tools_kwargs": true,
"question": "Color the 4 vertices of a regular tetrahedron with 4 different colors. If the two endpoints of the same edge cannot be colored with the same color, then there are a total of $\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_$ different coloring methods.",
"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": "30 August 1633",
"style": "rule"
} | {
"index": 9779,
"need_tools_kwargs": true,
"question": "When did John Casimir, Count Palatine Of Kleeburg's mother 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": "Jacques Demy",
"style": "rule"
} | {
"index": 9780,
"need_tools_kwargs": true,
"question": "Who is the father of the director of film Americano (2011 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... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 9781,
"need_tools_kwargs": true,
"question": "Anton, Borya, Vasya, and Grisha met. It is known that each of them is either from the tribe of knights (who always tell the truth) or from the tribe of liars (who always lie). Anton said that he and Grisha are from different tribes. Borya and Vasya called each other liars. Grisha claimed that among the four of them, there are at least two knights. How many knights are there actually?",
"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": "11",
"style": "rule"
} | {
"index": 9782,
"need_tools_kwargs": true,
"question": "Point \\( P \\) is located \\( 12 \\) units from the center of a circle with a radius of \\( 17 \\). Determine how many different chords of the circle that contain point \\( P \\) have integer lengths.",
"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": "8 November 1948",
"style": "rule"
} | {
"index": 9783,
"need_tools_kwargs": true,
"question": "What is the date of birth of the composer of film Mohabbath (2011 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": "Son of Sam and the .44 Caliber Killer",
"style": "rule"
} | {
"index": 9784,
"need_tools_kwargs": true,
"question": "Out of the Darkness was a film about a serial killer known as 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": "608,400",
"style": "rule"
} | {
"index": 9785,
"need_tools_kwargs": true,
"question": "Find the sum of the cubes of the first 39 natural numbers.",
"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": 9786,
"need_tools_kwargs": true,
"question": "You are given a 4x4 grid where each digit from 1 through 4 must appear exactly once in each row and once in each column. The initial grid is as follows:\n\n\\[\n\\begin{array}{|c|c|c|c|}\n\\hline\n & 2 & & 3 \\\\\n\\hline\n & & 4 & \\\\\n\\hline\n4 & & & \\\\\n\\hline\n & 1 & & \\\\\n\\hline\n\\end{array}\n\\]\n\nDetermine what number will occupy the lower right-hand square of the grid.",
"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": 9787,
"need_tools_kwargs": true,
"question": "Daria is raising money for a new vacuum cleaner. She has collected some money in her piggy bank and has decided to put $10 in it each week. If the vacuum cleaner costs $120, and it will take her 10 weeks to raise enough money, how much money does she have in her piggy bank 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... | qa | {
"ground_truth": "Diageo",
"style": "rule"
} | {
"index": 9788,
"need_tools_kwargs": true,
"question": "The Toyota Owners 400 was sponsored from 2007 to 2011 by a brand that is owned by which company?",
"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": "164",
"style": "rule"
} | {
"index": 9789,
"need_tools_kwargs": true,
"question": "Compute the number of five-digit positive integers $\\overline{vwxyz}$ for which \n\\[ (10v+w) + (10w+x) + (10x+y) + (10y+z) = 100. \\]",
"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": "Vanity Fair",
"style": "rule"
} | {
"index": 9790,
"need_tools_kwargs": true,
"question": "GQ (formerly Gentlemen's Quarterly) is an international monthly men's magazine based in New York City, Inked is a tattoo lifestyle digital media company that bills itself as the outsiders' insider media, covering music, fashion, art, sports and the rest of the lifestyle of the tattooed, \"Inked\", like Vice, has made the transition from the newsstand to digital media company, and a brand that sits among GQ and who?",
"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": "191",
"style": "rule"
} | {
"index": 9791,
"need_tools_kwargs": true,
"question": "Binbin did a subtraction problem, mistaking the tens digit of the minuend for 9 instead of 6, and the units digit of the subtrahend for 5 instead of 1. The result was 217. What is the correct result of the calculation?",
"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": 9792,
"need_tools_kwargs": true,
"question": "Are Arapongas Airport and Kurumoch International Airport 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": "64",
"style": "rule"
} | {
"index": 9793,
"need_tools_kwargs": true,
"question": "Let set $S$ contain all positive integers that are one less than a perfect square. Find the sum of all powers of $2$ that can be expressed as the product of two (not necessarily distinct) members of $S$.",
"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": 9794,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Bunty Aur Babli?",
"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": "BraveStarr",
"style": "rule"
} | {
"index": 9795,
"need_tools_kwargs": true,
"question": "Which American Space Western animated series did Celebrity Home Entertainment released ",
"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": "{{0.24}^{k-1}}\\times 0.76",
"style": "rule"
} | {
"index": 9796,
"need_tools_kwargs": true,
"question": "Two basketball players, A and B, take turns shooting hoops until someone makes a shot. The probability of A making a shot each time is $0.4$, while the probability of B making a shot each time is $0.6$. These probabilities are not affected by the results of other shots. Let $\\xi$ be the number of times A shoots. If A shoots first, then $p(\\xi =k)=$\nA: ${{0.6}^{k-1}}\\times 0.4$\nB: ${{0.24}^{k-1}}\\times 0.76$\nC: ${{0.4}^{k-1}}\\times 0.76$\nD: ${{0.76}^{k-1}}\\times 0.24$",
"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": 9797,
"need_tools_kwargs": true,
"question": "Are both directors of films Vamsa Vruksham and Conqueror Of Atlantis 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... | qa | {
"ground_truth": "British Schindler",
"style": "rule"
} | {
"index": 9798,
"need_tools_kwargs": true,
"question": "Nicky's Family is based on a man who the British dubbed as 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": "January 21, 1942",
"style": "rule"
} | {
"index": 9799,
"need_tools_kwargs": true,
"question": "When was the composer of film Hell Up In Harlem born?",
"split": "train"
} | null |
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