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... | qa | {
"ground_truth": "John L. \"Jack\" Hudson",
"style": "rule"
} | {
"index": 7700,
"need_tools_kwargs": true,
"question": "Who is the Director of the National Museum located at the air force base located east of Dayton, Ohio?",
"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": "Tony Burke",
"style": "rule"
} | {
"index": 7701,
"need_tools_kwargs": true,
"question": "What Labor member of the House of Representatives in the Australian Parliament was a member of the Australian Labor Party Australian Young Labor?",
"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 Pike's Peak Gold Rush",
"style": "rule"
} | {
"index": 7702,
"need_tools_kwargs": true,
"question": " Boston Market Corporation is a chain of American fast casual restaurants headquartered in a municipality founded on 16 June 1859 during 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": "10",
"style": "rule"
} | {
"index": 7703,
"need_tools_kwargs": true,
"question": "In the diagram, the line segments \\( PQ \\) and \\( PR \\) are perpendicular. The value of \\( s \\) is:\n(A) 6\n(B) 9\n(C) 10\n(D) 12\n(E) 9.5\n\n\\( \\text{[Image of diagram with line segments \\( PQ \\) and \\( PR \\) being perpendicular]} \\)",
"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": 7704,
"need_tools_kwargs": true,
"question": "已知 0<x,y<\\df{\\pi}{2}，则 f=\\df{9}{\\sin^2x}+\\df{1}{\\cos x\\cos^2y\\sin^2y} 的最小值是__________.",
"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": "Hitchin",
"style": "rule"
} | {
"index": 7705,
"need_tools_kwargs": true,
"question": "Where was the director of film The Wildcats Of St Trinian'S 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": "South Indian cinema",
"style": "rule"
} | {
"index": 7706,
"need_tools_kwargs": true,
"question": "In what country did a popular actress play a role in a film about coming of age?",
"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": "television programmes",
"style": "rule"
} | {
"index": 7707,
"need_tools_kwargs": true,
"question": " Conquest is a 1937 Metro-Goldwyn-Mayer film staring a British character actor for his many roles in British and American films and later in 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": "2a/5 + 1 \\text{ or } \\frac{2a+5}{5}",
"style": "rule"
} | {
"index": 7708,
"need_tools_kwargs": true,
"question": "Let $a, b$, and $c$ be real numbers. Consider the system of simultaneous equations in variables $x$ and $y:$ $a x+b y =c-1$ and $(a+5) x+(b+3) y =c+1$. Determine the value(s) of $c$ in terms of $a$ such that the system always has a solution for any $a$ 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... | qa | {
"ground_truth": "Westminster Abbey",
"style": "rule"
} | {
"index": 7709,
"need_tools_kwargs": true,
"question": "Where was the place of burial of Joan Of Acre'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": "0.8",
"style": "rule"
} | {
"index": 7710,
"need_tools_kwargs": true,
"question": "What is the area of a square inscribed in a semicircle of radius 1, with one of its sides flush with the diameter of the semicircle?",
"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": "50",
"style": "rule"
} | {
"index": 7711,
"need_tools_kwargs": true,
"question": "Given a set of positive integers with the sum of any seven of them less than 15 and the sum of all the numbers in the set equal to 100, determine the least possible number of elements in this set.",
"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": 7712,
"need_tools_kwargs": true,
"question": "Formulate the equation of a plane that is parallel to the $Oz$ axis and passes through the points $(1, 0, 1)$ and $(-2, 1, 3)$.",
"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": "Hallett Cove",
"style": "rule"
} | {
"index": 7713,
"need_tools_kwargs": true,
"question": "What neighboring suburb of O'Halloran Hill has a population of more than 12,000 people?",
"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": 7714,
"need_tools_kwargs": true,
"question": "The population of Imaginaria City at one time was a perfect square. After an increase of 225, the population became one more than a perfect square. Following an additional increase of 75, the population was again a perfect square. Determine whether the original population is a multiple of 5, 7, 15, 13, or 3.",
"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": 7715,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Broken Vessels?",
"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{429}{1024}",
"style": "rule"
} | {
"index": 7716,
"need_tools_kwargs": true,
"question": "There exist constants $b_1, b_2, b_3, b_4, b_5, b_6, b_7$ such that\n\\[\n\\cos^7 \\theta = b_1 \\cos \\theta + b_2 \\cos 2 \\theta + b_3 \\cos 3 \\theta + b_4 \\cos 4 \\theta + b_5 \\cos 5 \\theta + b_6 \\cos 6 \\theta + b_7 \\cos 7 \\theta\n\\]\nfor all angles $\\theta$. Find $b_1^2 + b_2^2 + b_3^2 + b_4^2 + b_5^2 + b_6^2 + b_7^2$.",
"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... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 7717,
"need_tools_kwargs": true,
"question": "Did the bands Revamp and The Church (Band), originate 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": "7",
"style": "rule"
} | {
"index": 7718,
"need_tools_kwargs": true,
"question": "If \\(\\sin \\left(c^{2}-3 c+17\\right)^{\\circ}=\\frac{4}{b-2}\\), where \\(0 < c^{2}-3 c +17 < 90\\) and \\(c > 0\\), find the value of \\(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": "101^3",
"style": "rule"
} | {
"index": 7719,
"need_tools_kwargs": true,
"question": "All divisors of a natural number \\( n \\) are listed in ascending order from 1 to \\( n \\). It turns out that the second-to-last number in the list is 101 times greater than the second number. What is the largest possible \\( 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": "Plaza de la República",
"style": "rule"
} | {
"index": 7720,
"need_tools_kwargs": true,
"question": "Diagonal Norte is located near what Plaza?",
"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{300}{13}",
"style": "rule"
} | {
"index": 7721,
"need_tools_kwargs": true,
"question": "Alice's car averages 30 miles per gallon of gasoline, and Bob's car averages 20 miles per gallon of gasoline. If Alice drives 120 miles and Bob drives 180 miles, calculate the combined rate of miles per gallon of gasoline for both cars.",
"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": 7722,
"need_tools_kwargs": true,
"question": "Are director of film The Desert'S Toll and director of film Jeeva (1986 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": "1",
"style": "rule"
} | {
"index": 7723,
"need_tools_kwargs": true,
"question": "Let \\(Q(z)\\) and \\(R(z)\\) be the unique polynomials such that:\n\\[\nz^{2021}+1=(z^2+z+1)Q(z)+R(z)\n\\]\nand the degree of \\(R\\) is less than \\(2\\). The original answer is in the form \\(-a \\cdot z + b\\). Please find 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... | qa | {
"ground_truth": "Wallace Morgan",
"style": "rule"
} | {
"index": 7724,
"need_tools_kwargs": true,
"question": "What was the first and last name of the president of the Society of Illustrators from 1929 to 1936?",
"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": "128",
"style": "rule"
} | {
"index": 7725,
"need_tools_kwargs": true,
"question": "Ten distinct pieces of candy are to be distributed among three bags: Bag A, Bag B, and Bag C. Any two of these bags must each receive at least one piece of candy, but the third bag may remain empty. How many different distributions are possible?\n$\\textbf{(A)}\\ 126 \\qquad \\textbf{(B)}\\ 127 \\qquad \\textbf{(C)}\\ 128 \\qquad \\textbf{(D)}\\ 129 \\qquad \\textbf{(E)}\\ 130$",
"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": "12",
"style": "rule"
} | {
"index": 7726,
"need_tools_kwargs": true,
"question": "Consider a sequence of $101$ terms where each term is represented as $Q + m$ where $Q$ is the product of all prime numbers less than 50 ($2 \\times 3 \\times 5 \\times \\ldots \\times 47$), and $m$ takes successively the values $3, 4, 5, \\ldots, 103$. Determine how many primes appear in this sequence.",
"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": 7727,
"need_tools_kwargs": true,
"question": "In the morning, the temperature was $-3^{\\circ} \\mathrm{C}$. In the afternoon, the temperature was $5^{\\circ} \\mathrm{C}$. By how many degrees Celsius did the temperature increase?\n(A) 8\n(B) 3\n(C) 5\n(D) 2\n(E) 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": "Dr. Dunkenstein",
"style": "rule"
} | {
"index": 7728,
"need_tools_kwargs": true,
"question": "What was the nickname of the Jazz player who retired following the 1990–91 Utah Jazz season ?",
"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": "3 April 1891",
"style": "rule"
} | {
"index": 7729,
"need_tools_kwargs": true,
"question": "When is Princess Tsehai's mother's birthday?",
"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": "Samoa",
"style": "rule"
} | {
"index": 7730,
"need_tools_kwargs": true,
"question": "The fingerstyle genre of guitar music that originated in Hawaii guitar tuning, is traditional of where?",
"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": "Histidine",
"style": "rule"
} | {
"index": 7731,
"need_tools_kwargs": true,
"question": "What is one of the amino acids used in the biosynthesis of proteins, that is in a synthetic peptide consisting of eight amino acids?",
"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": "4024",
"style": "rule"
} | {
"index": 7732,
"need_tools_kwargs": true,
"question": "Congruent circles $\\Gamma_1$ and $\\Gamma_2$ have radius $2012$, and the center of $\\Gamma_1$ lies on $\\Gamma_2$. Suppose that $\\Gamma_1$ and $\\Gamma_2$ intersect at $A$ and $B$. The line through $A$ perpendicular to $AB$ meets $\\Gamma_1$ and $\\Gamma_2$ again at $C$ and $D$, respectively. Find the length of $CD$.",
"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": "63",
"style": "rule"
} | {
"index": 7733,
"need_tools_kwargs": true,
"question": "Robert \"Bob\" Scucci was formerly the Assistant Race and Sports Book Manager at a casino located on how many acres?",
"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 Pingfang district of Harbin",
"style": "rule"
} | {
"index": 7734,
"need_tools_kwargs": true,
"question": " Seiichi Morimura revealed the atrocities committed by a unit based in which district ?",
"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": "Gavin McGregor Rossdale",
"style": "rule"
} | {
"index": 7735,
"need_tools_kwargs": true,
"question": "Who worked on TV more in 2017, Kurt Cobain or Gavin Rossdale?",
"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": 7736,
"need_tools_kwargs": true,
"question": "Do both films, The Dhamma Brothers and Taxi No. 9211, have the directors who are 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": "\\frac{1}{4}(x+1)^2",
"style": "rule"
} | {
"index": 7737,
"need_tools_kwargs": true,
"question": "Given the quadratic function \\( f(x) \\) such that \\( f(-1) = 0 \\) and \\( x \\leq f(x) \\leq \\frac{1}{2}\\left(x^2 + 1\\right) \\) holds for all real numbers \\( x \\). Determine the explicit form of the function \\( f(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... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"index": 7738,
"need_tools_kwargs": true,
"question": "The following addition is incorrect. By changing one digit \\( d \\) to another digit \\( e \\) in all occurrences, the sum can be corrected. Calculate the total sum of \\( d \\) and \\( e \\) given the incorrect addition:\n\n\\[\n\\begin{array}{ccccccc}\n& 9 & 4 & 3 & 5 & 8 & 7 \\\\\n+ & 3 & 2 & 9 & 4 & 3 & 0 \\\\\n\\hline\n1 & 4 & 1 & 2 & 0 & 1 & 7 \n\\end{array}\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": "Marcelo Langieri",
"style": "rule"
} | {
"index": 7739,
"need_tools_kwargs": true,
"question": "Who was Patricia Bullrich's first 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... | qa | {
"ground_truth": "Nic Pizzolatto",
"style": "rule"
} | {
"index": 7740,
"need_tools_kwargs": true,
"question": "Who created the television series in which Madison Wolfe made her television debut ?",
"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": 7741,
"need_tools_kwargs": true,
"question": "Are both villages, Kalateh-Ye Hajji Barat and Gura Jub-E Morad Beyg, 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": "Austrian",
"style": "rule"
} | {
"index": 7742,
"need_tools_kwargs": true,
"question": "What nationality is Martin Brambach's wife?",
"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": "①③",
"style": "rule"
} | {
"index": 7743,
"need_tools_kwargs": true,
"question": "Given the following propositions:\n$(①)$ The graph of the function $y=\\tan x$ is symmetric about the point $(\\frac{kπ}{2},0), (k∈Z)$;\n$(②)$ The function $f(x)=\\sin |x|$ is a periodic function with the smallest positive period of $π$;\n$(③)$ The minimum value of the function $y=\\cos ^{2}x+\\sin x$ is $-1$;\n$(④)$ Let $θ$ be an angle in the second quadrant, then $\\tan \\frac {θ}{2} > \\cos \\frac {θ}{2}$, and $\\sin \\frac {θ}{2} > \\cos \\frac {θ}{2}$.\nThe correct proposition number(s) is/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": "24",
"style": "rule"
} | {
"index": 7744,
"need_tools_kwargs": true,
"question": "How many nonrectangular trapezoids can be formed from the vertices of a regular octagon?",
"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": "Warrior Publishing Group",
"style": "rule"
} | {
"index": 7745,
"need_tools_kwargs": true,
"question": "Captain Dale Adam Dye Jr., USMC (Ret.) owns Warriors, Inc. and what other 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... | qa | {
"ground_truth": "three losses",
"style": "rule"
} | {
"index": 7746,
"need_tools_kwargs": true,
"question": "In regards to the private co-educational university in Downtown Tampa, Florida, how many losses did their football team have in 1973?",
"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": 7747,
"need_tools_kwargs": true,
"question": "The value of \\(\\frac{1^{2}+2^{2}+3^{2}+4^{2}}{1 \\times 2 \\times 3}\\) is:\n(A) 110\n(B) 22\n(C) \\(\\frac{50}{3}\\)\n(D) 5\n(E) 14",
"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": 7748,
"need_tools_kwargs": true,
"question": "Determine the smallest integer $n \\geqslant 2$ with the following property: for any integers $a_1, a_2, \\cdots, a_n$ whose sum is not divisible by $n$, there exists an index $1 \\leqslant i \\leqslant n$ such that none of the numbers $$a_i, a_i + a_{i+1}, \\cdots, a_i + a_{i+1} + \\cdots + a_{i+n-1}$$ is divisible by $n.$ (We let $a_i = a_{i-n}$ when $i > n.)$ Find the value of the smallest such $n$.",
"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": "12 - 6\\sqrt{3}",
"style": "rule"
} | {
"index": 7749,
"need_tools_kwargs": true,
"question": "In the diagram, $AOB$ is a sector of a circle with $\\angle AOB=60^\\circ.$ $OY$ is drawn perpendicular to $AB$ and intersects $AB$ at $X.$ What is the length of $XY\n?$ [asy]\ndraw((0,0)--(12,0),black+linewidth(1));\ndraw((0,0)--(10.3923,-6)..(12,0)..(10.3923,6)--(0,0),black+linewidth(1));\ndraw((10.3923,-6)--(10.3923,6),black+linewidth(1));\nlabel(\"$O$\",(0,0),W);\nlabel(\"$A$\",(10.3923,6),N);\nlabel(\"$B$\",(10.3923,-6),S);\nlabel(\"$X$\",(10.3923,0),NW);\nlabel(\"$Y$\",(12,0),E);\nlabel(\"12\",(0,0)--(10.3923,6),NW);\nlabel(\"12\",(0,0)--(10.3923,-6),SW);\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": "y = \\log_{10}(2x - 2)",
"style": "rule"
} | {
"index": 7750,
"need_tools_kwargs": true,
"question": "Shrink the x-coordinates of each point on the graph of the function \\( y = \\lg (x-1) \\) to 50% of their original values, and then translate the graph half a unit to the right. Find the expression for the resulting graph.",
"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": " n ",
"style": "rule"
} | {
"index": 7751,
"need_tools_kwargs": true,
"question": "Consider $n$ children in a playground, where $n\\ge 2$ . Every child has a coloured hat, and every pair of children is joined by a coloured ribbon. For every child, the colour of each ribbon held is different, and also different from the colour of that child’s hat. What is the minimum number of colours that needs to be used?",
"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}{4}",
"style": "rule"
} | {
"index": 7752,
"need_tools_kwargs": true,
"question": "Given that the approximate ratio of the three cases drawn, DD, Dd, dd, is 1:2:1, calculate the probability of drawing dd when two students who have drawn cards are selected, and one card is drawn from each of these two students.",
"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": 7753,
"need_tools_kwargs": true,
"question": "Do the movies Death Of An Angel and Les Amants Du Pont-Neuf, originate 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": "0.6857",
"style": "rule"
} | {
"index": 7754,
"need_tools_kwargs": true,
"question": "Gretchen has eight socks, two of each color: magenta, cyan, black, and white. She randomly draws four socks. What is the probability that she has exactly one pair of socks with the same color?",
"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": "67",
"style": "rule"
} | {
"index": 7755,
"need_tools_kwargs": true,
"question": "Let $x$ be a real number such that $\\sin^{10}x+\\cos^{10} x = \\tfrac{11}{36}$ . Then $\\sin^{12}x+\\cos^{12} x = \\tfrac{m}{n}$ where $m$ and $n$ are relatively prime positive integers. Find $m+n$ .",
"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": "0.278",
"style": "rule"
} | {
"index": 7756,
"need_tools_kwargs": true,
"question": "If a standard die is rolled twice and the outcomes are $m$ and $n$, what is the probability of forming a right-angled triangle with vertices at points $(0,0)$, $(1,-1)$, and $(m, n)$?",
"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": "November 26, 1978",
"style": "rule"
} | {
"index": 7757,
"need_tools_kwargs": true,
"question": "When did the director of film The Invisible Man'S Revenge 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 \\log(3) + 3 \\log(7)",
"style": "rule"
} | {
"index": 7758,
"need_tools_kwargs": true,
"question": "Calculate the limit of the function:\n\n$$\\lim_{x \\rightarrow 0} \\frac{7^{3x} - 3^{2x}}{\\tan{x} + x^3}$$",
"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": 7759,
"need_tools_kwargs": true,
"question": "Are the directors of both films Modesty Blaise (1966 Film) and Two On A Vacation 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": "3\\sqrt{3}",
"style": "rule"
} | {
"index": 7760,
"need_tools_kwargs": true,
"question": "In the parallelogram \\(ABCD\\), point \\(K\\) is the midpoint of side \\(BC\\), and point \\(M\\) is the midpoint of side \\(CD\\). Given that \\(AK = 6\\) cm, \\(AM = 3\\) cm, and \\(\\angle KAM = 60^\\circ\\), calculate the length of side \\(AD\\).",
"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": "High Courses for Scriptwriters and Film Directors",
"style": "rule"
} | {
"index": 7761,
"need_tools_kwargs": true,
"question": "Where does the director of film Seven Nannies work at?",
"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": 7762,
"need_tools_kwargs": true,
"question": "Are The Fate Of The Furious and The Sport Parade 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": "execution",
"style": "rule"
} | {
"index": 7763,
"need_tools_kwargs": true,
"question": "What type of judgement does Boston and Sacco and Vanzetti 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": 7764,
"need_tools_kwargs": true,
"question": "Are Lollipop Lust Kill and Zolar X both 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": "110.0",
"style": "rule"
} | {
"index": 7765,
"need_tools_kwargs": true,
"question": "What number results when 50 is increased by $120\\%$?",
"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": 7766,
"need_tools_kwargs": true,
"question": "Let \\( f:(0,1) \\rightarrow (0,1) \\) be a differentiable function with a continuous derivative such that for every positive integer \\( n \\) and odd positive integer \\( a < 2^n \\), there exists an odd positive integer \\( b < 2^n \\) such that \\( f\\left( \\frac{a}{2^n} \\right) = \\frac{b}{2^n} \\). Determine the set of possible values of \\( f^{\\prime} \\left( \\frac{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": "American",
"style": "rule"
} | {
"index": 7767,
"need_tools_kwargs": true,
"question": "Which country the director of film Never Say Die (1939 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... | qa | {
"ground_truth": "1971",
"style": "rule"
} | {
"index": 7768,
"need_tools_kwargs": true,
"question": "In what year was the Louisiana Governor who appointed Henry \"Tank\" Powell to the Louisiana Board of Pardons 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": "\"The Omen\"",
"style": "rule"
} | {
"index": 7769,
"need_tools_kwargs": true,
"question": "Which horror film was previously directed by the same director as a 1978 film starring Marlon Brando and Gene Hackman?",
"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": "London",
"style": "rule"
} | {
"index": 7770,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Holiday'S End?",
"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": 7771,
"need_tools_kwargs": true,
"question": "A line passing through the focus \\( F \\) of a parabola intersects the parabola at points \\( A \\) and \\( B \\). If the projections of \\( A \\) and \\( B \\) onto the directrix of the parabola are \\( A_1 \\) and \\( B_1 \\) respectively, what is the measure of \\( \\angle A_1 F B_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": "BOC Life",
"style": "rule"
} | {
"index": 7772,
"need_tools_kwargs": true,
"question": "Who sponsors the league in which Roberto Orlando Affonso Júnior plays ?",
"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": "120,000",
"style": "rule"
} | {
"index": 7773,
"need_tools_kwargs": true,
"question": "How much money, in euros, was the surgeon held responsible for Stella Obasanjo's death ordered to pay her son?",
"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": "La Bisbetica domata",
"style": "rule"
} | {
"index": 7774,
"need_tools_kwargs": true,
"question": "What movie was directed by an Italian director, former senator and distant relative of Leonardo da Vinci?",
"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": "[0,1]",
"style": "rule"
} | {
"index": 7775,
"need_tools_kwargs": true,
"question": "Given the function $f(x) = \\ln x$, and $F(x) = x + \\frac{1}{x} + af'(x)$:\n\n(I) When $a=1$, find the extreme value of $M(x) = F(x) - f(x)$.\n\n(II) When $a=0$, for any $x > 0$, the inequality $\\frac{1}{F(x)} \\leq \\frac{1}{2 + m[f(x)]^2}$ always holds; find the range of real numbers $m$.",
"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": "Seattle Seahawks",
"style": "rule"
} | {
"index": 7776,
"need_tools_kwargs": true,
"question": "Do You Believe? starred the football player who played for what team?",
"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": 7777,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Evidence (1915 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": "27",
"style": "rule"
} | {
"index": 7778,
"need_tools_kwargs": true,
"question": "I planned to work 20 hours a week for 12 weeks this summer to earn $3000 to buy a used car. Unfortunately, due to unforeseen events, I wasn't able to work any hours during the first three weeks of the summer. How many hours per week do I need to work for the remaining summer to achieve my financial goal?",
"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": 7779,
"need_tools_kwargs": true,
"question": "设 V 为所有次数不超过 100 的实系数多项式构成的线性空间，令V_1=\\{f\\in V\\ |\\ f^{(2k-1)}(0)=0,k=1,2,\\cdots,50\\},V_2=\\{f\\in V\\ |\\ f^{(k)}(-1)=f^{(k)}(1)=0,k=70,71,\\cdots,98\\}.求 \\dim(V_1+V_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 {2 \\sqrt {6}}{5}",
"style": "rule"
} | {
"index": 7780,
"need_tools_kwargs": true,
"question": "Given the ellipse C: $$\\frac {x^{2}}{a^{2}}+ \\frac {y^{2}}{b^{2}}=1(a＞b＞0)$$, with the right focus $$F( \\sqrt {3}，0)$$, and eccentricity $$e= \\frac { \\sqrt {3}}{2}$$.\n(1) Find the equation of ellipse C.\n(2) A line l passing through F and having an inclination angle of 45° intersects the ellipse at two distinct points M and N. Find the area of △OMN (O is the origin).",
"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{2018 \\times 5^{2017}}{5^{2018} - 1}",
"style": "rule"
} | {
"index": 7781,
"need_tools_kwargs": true,
"question": "Calculate: $\\sum_{k=0}^{2017} \\frac{5+\\cos \\frac{\\pi k}{1009}}{26+10 \\cos \\frac{\\pi k}{1009}}$.",
"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": 7782,
"need_tools_kwargs": true,
"question": "What nationality is the composer of film The Revolt Of Mamie Stover (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": "Tokyo",
"style": "rule"
} | {
"index": 7783,
"need_tools_kwargs": true,
"question": "Where did the performer of song Kawa No Nagare No Yō Ni 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": "128",
"style": "rule"
} | {
"index": 7784,
"need_tools_kwargs": true,
"question": "Consider the list of the first 8 odd positive integers: \\(1, 3, 5, 7, 9, 11, 13, 15\\). Arrange these integers such that for each integer \\(b_i\\) (where \\(2 \\leq i \\leq 8\\)), either \\(b_i + 2\\) or \\(b_i - 2\\) or both must appear somewhere before \\(b_i\\) in the list. How many different arrangements of this list satisfy the given condition?",
"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": "3.00",
"style": "rule"
} | {
"index": 7785,
"need_tools_kwargs": true,
"question": "Find the largest value of \\( z \\) such that there exist \\( x \\) and \\( y \\) satisfying \\( 4x^{2} + 4y^{2} + z^{2} + xy + yz + xz = 8 \\). If the answer is a fractional number, it should be written as a decimal, for example, \\( 0.15 \\).",
"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": "1.2.1",
"style": "rule"
} | {
"index": 7786,
"need_tools_kwargs": true,
"question": "What patch number was the Space Creature set added to in Terraria?",
"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": 7787,
"need_tools_kwargs": true,
"question": "Given the set \\( M = \\{1, 2, 3, \\ldots, 10\\} \\), determine how many subsets \\( A \\) of \\( M \\) exist such that the sum of the elements in \\( A \\) is equal to 8.",
"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": "tenth and current Commissioner",
"style": "rule"
} | {
"index": 7788,
"need_tools_kwargs": true,
"question": "Who succeeded Rob Manfred as MLB Commissioner",
"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": "5.25",
"style": "rule"
} | {
"index": 7789,
"need_tools_kwargs": true,
"question": "Each day, cat Basilio and fox Alisa visit all 20 courtyards in the capital of Fool's Country. In each courtyard, they are either given or not given one gold coin with a probability of $\\frac{1}{2}$. By the end of the day, if the number of received gold coins is even, then the fox and the cat share them equally. If the number of coins is odd, they share all the coins except one equally, and cat Basilio keeps the last coin as the commercial director of the enterprise. Find the expected number of coins received by the cat per day.",
"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=1",
"style": "rule"
} | {
"index": 7790,
"need_tools_kwargs": true,
"question": "In the three-dimensional Cartesian coordinate system, given points $A(2,a,-1)$, $B(-2,3,b)$, $C(1,2,-2)$.<br/>$(1)$ If points $A$, $B$, and $C$ are collinear, find the values of $a$ and $b$;<br/>$(2)$ Given $b=-3$, $D(-1,3,-3)$, and points $A$, $B$, $C$, and $D$ are coplanar, find the value of $a$.",
"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": "73",
"style": "rule"
} | {
"index": 7791,
"need_tools_kwargs": true,
"question": "Catarina has 210 cards numbered from 1 to 210.\n\na) How many of these cards have a number that is a multiple of 3?\n\nb) How many of these cards have an even number that is not a multiple of 3?\n\nc) What is the minimum number of cards Catarina must randomly pick to be sure that at least two of them have the numbers 2 or 3 as a common divisor?",
"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": "240",
"style": "rule"
} | {
"index": 7792,
"need_tools_kwargs": true,
"question": "In a $4 \\times 5$ grid, place 5 crosses such that each row and each column contains at least one cross. How many ways can this be done?",
"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": "3553",
"style": "rule"
} | {
"index": 7793,
"need_tools_kwargs": true,
"question": "The area of the triangle whose altitudes have lengths $36.4$ , $39$ , and $42$ can be written as $\\tfrac{m}{n}$ , where $m$ and $n$ are relatively prime positive integers. Find $m + n$ .",
"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": 7794,
"need_tools_kwargs": true,
"question": "已知复数 z_1,z_2,\\cdots,z_{2023} 的和为 0，求 \\ds{i=1}{2023}|z_i^3-1| 的最小值.",
"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": "185,000 to 190,000 m³",
"style": "rule"
} | {
"index": 7795,
"need_tools_kwargs": true,
"question": "How much area does the Lutheran church located in Ulm, Germany covers?",
"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": "Chrissie White",
"style": "rule"
} | {
"index": 7796,
"need_tools_kwargs": true,
"question": "Who is the spouse of the director of film Lord Of The Manor (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": "Seattle",
"style": "rule"
} | {
"index": 7797,
"need_tools_kwargs": true,
"question": "\"Hunger Strike\" is a song by a band that formed in which 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... | math | {
"ground_truth": "3445_8",
"style": "rule"
} | {
"index": 7798,
"need_tools_kwargs": true,
"question": "Convert $725_{16}$ to base 8.",
"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": "Ferit Orhan Pamuk",
"style": "rule"
} | {
"index": 7799,
"need_tools_kwargs": true,
"question": "Entitled Opinions is a literary talk show hosted by Robert P. Harrison, a professor of French and Italian at Stanford University, guests have included which 2006 Nobel Prize in Literature, a Turkish novelist, screenwriter, academic?",
"split": "train"
} | null |
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