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": "6.0",
"style": "rule"
} | {
"index": 9900,
"need_tools_kwargs": true,
"question": "Calculate: \\(\\frac{5}{\\frac{1}{1 \\times 2}+\\frac{1}{2 \\times 3}+\\frac{1}{3 \\times 4}+\\frac{1}{4 \\times 5}+\\frac{1}{5 \\times 6}}\\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "September 22, 1949",
"style": "rule"
} | {
"index": 9901,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Our Town (1940 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": "Duke University",
"style": "rule"
} | {
"index": 9902,
"need_tools_kwargs": true,
"question": "Antonio Lamar \"Tony\" Crocker stuck to his commitment under a new coach who had once played for what university?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "283",
"style": "rule"
} | {
"index": 9903,
"need_tools_kwargs": true,
"question": "Willem Witteveen was shot down aboard a flight carrying how many passengers?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Buffalo Bills",
"style": "rule"
} | {
"index": 9904,
"need_tools_kwargs": true,
"question": "The coach of the 1996 Oklahoma Sooners football team has also been the defensive line coach for which other 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": "25 August 1944",
"style": "rule"
} | {
"index": 9905,
"need_tools_kwargs": true,
"question": "When was the director of film Black Rose Is An Emblem Of Sorrow, Red Rose Is An Emblem Of Love 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": "Richard L. Thompson",
"style": "rule"
} | {
"index": 9906,
"need_tools_kwargs": true,
"question": "Who co-wrote The Hidden History of the Human Race with a man know devotionally as Drutakarma dasa?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "barcode reader",
"style": "rule"
} | {
"index": 9907,
"need_tools_kwargs": true,
"question": "The game Scan Command: Jurassic Park was considered unique for its use of which device that consists of a light source, a lens and a light sensor translating optical impulses into electrical ones?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9908,
"need_tools_kwargs": true,
"question": "设 a,b 为实数，函数 f(x)=ax+b. 若对任意 x\\in[0,1]，均有 |f(x)|\\leq 1，求 (a+1)(b+1) 的取值范围。答案的形式为[m, \\frac{n}{p}]，请给出m+n+p的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "2,478",
"style": "rule"
} | {
"index": 9909,
"need_tools_kwargs": true,
"question": "Archermining camp was situated 2 miles southeast of an unincorporated town that had a population of what in the 2010 census?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "13 July 1923",
"style": "rule"
} | {
"index": 9910,
"need_tools_kwargs": true,
"question": "When was the director of film Prey For The Shadows 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": "13 January 1859",
"style": "rule"
} | {
"index": 9911,
"need_tools_kwargs": true,
"question": "When is Charles Stanhope, 10Th Earl Of Harrington's father'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... | math | {
"ground_truth": "140",
"style": "rule"
} | {
"index": 9912,
"need_tools_kwargs": true,
"question": "Let $m = 2^3 \\cdot 3^4 \\cdot 5^6 \\cdot 7^7$. How many natural-number factors does $m$ have?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9913,
"need_tools_kwargs": true,
"question": "Determine the cubic equation whose roots represent the eccentricities of a hyperbola, an ellipse, and a parabola. Describe the properties of the eccentricities for each conic section and explain how you arrive at the cubic equation.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\{5,6,8\\}",
"style": "rule"
} | {
"index": 9914,
"need_tools_kwargs": true,
"question": "Which of the following sets could NOT be the lengths of the external diagonals of a right regular prism [a \"box\"]?\n$\\text{(A) }\\{3,4,5\\} \\quad \\text{(B) } \\{5,6,8\\} \\quad \\text{(C) } \\{6,7,9\\} \\quad \\text{(D) } \\{6,8,10\\} \\quad \\text{(E) } \\{9,10,13\\}$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 October 1283",
"style": "rule"
} | {
"index": 9915,
"need_tools_kwargs": true,
"question": "What is the date of death of Owain Ap Dafydd'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": "53",
"style": "rule"
} | {
"index": 9916,
"need_tools_kwargs": true,
"question": "Find the sum of all integers $0 \\le a \\le 124$ such that $a^3 - 2$ is a multiple of $125$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9917,
"need_tools_kwargs": true,
"question": "An n-digit number has the property that if you cyclically permute its digits, the result is always divisible by 1989. What is the smallest possible value of n? What is the smallest such number?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "British",
"style": "rule"
} | {
"index": 9918,
"need_tools_kwargs": true,
"question": "Which country the director of film His Brother'S Wife (1916 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": "no",
"style": "rule"
} | {
"index": 9919,
"need_tools_kwargs": true,
"question": "Are both directors of films The Ladies Man (2000 Film) and Jeevitha Chakram 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": "1955",
"style": "rule"
} | {
"index": 9920,
"need_tools_kwargs": true,
"question": "Resistance stars an American actor and film director that was born on May 17 of what year?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Buenos Aires",
"style": "rule"
} | {
"index": 9921,
"need_tools_kwargs": true,
"question": "Where did the director of film The Hand In The Trap 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": "Michael Anderson",
"style": "rule"
} | {
"index": 9922,
"need_tools_kwargs": true,
"question": "Richard Thorp appeared in the 1955 film directed by whom?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\pi(a + b)",
"style": "rule"
} | {
"index": 9923,
"need_tools_kwargs": true,
"question": "An ellipse with semi-axes \\( a \\) and \\( b \\) has perimeter length \\( p(a, b) \\). For \\( \\frac{b}{a} \\) near 1, is \\( \\pi(a + b) \\) or \\( 2\\pi \\sqrt{ab} \\) the better approximation to \\( p(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": "The Bomb is a 2015 American documentary film about the history of nuclear",
"style": "rule"
} | {
"index": 9924,
"need_tools_kwargs": true,
"question": "Which movie, Before the Music Dies or The Bomb, was a documentary film about nuclear bombs?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Rome",
"style": "rule"
} | {
"index": 9925,
"need_tools_kwargs": true,
"question": "Where did the director of film La Signorina Ciclone 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": "no",
"style": "rule"
} | {
"index": 9926,
"need_tools_kwargs": true,
"question": "Are director of film Puthiya Vaarpugal and director of film The L.A. Riot Spectacular 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... | qa | {
"ground_truth": "Colorado",
"style": "rule"
} | {
"index": 9927,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Out Of The Drifts?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Michael Gaughan",
"style": "rule"
} | {
"index": 9928,
"need_tools_kwargs": true,
"question": "The 2012 World Indoor Archery Championships was contested at a hotel owned and operated by what man?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\left[- \\frac {1}{4},2\\right]",
"style": "rule"
} | {
"index": 9929,
"need_tools_kwargs": true,
"question": "The value range of the function $f(x)=9^{x}-3^{x+1}+2$ $( -1 \\leqslant x \\leqslant 1)$ is $(\\quad)$ \nA: $\\left[ \\frac {9}{19},2\\right]$ \nB: $[-1,2]$ \nC: $\\left[- \\frac {1}{4},2\\right]$ \nD: $\\left[- \\frac {1}{4},+\\infty\\right]$",
"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": "1922",
"style": "rule"
} | {
"index": 9930,
"need_tools_kwargs": true,
"question": "In the Claws of Brightness was originally serialized in the magazine that has been published since what year?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "French",
"style": "rule"
} | {
"index": 9931,
"need_tools_kwargs": true,
"question": "Which country the director of film Web Of Suspicion 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": "2",
"style": "rule"
} | {
"index": 9932,
"need_tools_kwargs": true,
"question": "设 M 是正整数，数列 \\{a_n\\} 满足 a_0=M+\\dfrac{1}{2}, a_{n+1}=a_n[a_n], n\\geq0。求所有的正整数 M，使得 \\{a_n\\} 中至少有一个整数项。答案形如 [a, \\infty)，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": "Bill Watts",
"style": "rule"
} | {
"index": 9933,
"need_tools_kwargs": true,
"question": "What is the name of the WWE Hall of Fame Inductee who also hosted promotions with Jeff Gaylord? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Domino Kid",
"style": "rule"
} | {
"index": 9934,
"need_tools_kwargs": true,
"question": "Which film has the director died first, Domino Kid or Hello-Goodbye (1970 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": "10301",
"style": "rule"
} | {
"index": 9935,
"need_tools_kwargs": true,
"question": "(a) What will be the next palindromic year after 2002?\n\n(b) The last palindromic year, 1991, was odd. When will be the next palindromic odd year?\n\n(c) The last palindromic prime year occurred more than 1000 years ago, in 929. When will be the next palindromic prime year?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4000",
"style": "rule"
} | {
"index": 9936,
"need_tools_kwargs": true,
"question": "Estimate the population of the island of Atheris in the year 2080, given that the population quadruples every 30 years. Assume the population in the year 2000 is 250.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9937,
"need_tools_kwargs": true,
"question": "A certain calculator has only three keys: [+1], [-1], and [x2]. Starting with the display showing \"1,\" determine the fewest number of keystrokes needed to reach \"500,\" ensuring that each operation is used at least once. Explain your reasoning and the steps you took to arrive at your answer.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2520",
"style": "rule"
} | {
"index": 9938,
"need_tools_kwargs": true,
"question": "Let $\\mathcal{T}$ be the set of real numbers that can be represented as repeating decimals of the form $0.\\overline{abcd}$ where $a, b, c, d$ are distinct digits. Find the sum of the elements of $\\mathcal{T}.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "45",
"style": "rule"
} | {
"index": 9939,
"need_tools_kwargs": true,
"question": "In trapezoid \\(ABCD\\), where \\(AB \\parallel DC\\) and \\(\\angle ABC = 90^\\circ\\), point \\(E\\) is the midpoint of leg \\(AD\\). Given that \\(EC = \\sqrt{13}\\) and the sum of the lengths \\(AB + BC + CD = 2\\sqrt{26}\\), determine the measure of \\(\\angle BCE\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2001",
"style": "rule"
} | {
"index": 9940,
"need_tools_kwargs": true,
"question": "In what year was Fallout 3 created?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9941,
"need_tools_kwargs": true,
"question": "A group of girls stands in a circle. Florence is the fourth on the left from Jess and the seventh on the right from Jess. How many girls are in the group?\nA) 9\nB) 10\nC) 11\nD) 12\nE) 13",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9942,
"need_tools_kwargs": true,
"question": "Are both Our Lady of Fatima High School, Aligarh and Ridgeview Classical Schools 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": "50 \\pi",
"style": "rule"
} | {
"index": 9943,
"need_tools_kwargs": true,
"question": "A construction company receives a delivery of gravel that forms a conical pile. The cone has a diameter of \\(10\\) feet and a height equal to \\(60\\%\\) of its diameter. Determine the volume of gravel in the pile in terms of \\(\\pi\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Potenza",
"style": "rule"
} | {
"index": 9944,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film The Revenge Of Ivanhoe?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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-hour",
"style": "rule"
} | {
"index": 9945,
"need_tools_kwargs": true,
"question": "A group of six security guards were hired for the night shift at a factory. The 12-hour night shift was to be covered by rotations, with each guard's shift differing in length due to varying levels of alertness and expertise. Guard one was responsible for the first 2 hours. Guard six, being the most experienced, would cover the last 4 hours of the shift. The second, third, fourth, and fifth guards had to work in the middle portion of the shift on a rotating schedule with the following preferences and requirements:\n\n1. Guard two prefers to work no more than 2 hours.\n2. Guard three has a maximum of 3 continuous working hours.\n3. Guard four needs to team up with guard five during his shift.\n4. Guard five should work at least an hour less than guard four.\n\nDetermine the individual working hours for guards two, three, four, and five that satisfy the above preferences and requirements, and successfully cover the middle portion of the 12-hour night shift.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "55",
"style": "rule"
} | {
"index": 9946,
"need_tools_kwargs": true,
"question": "What is the value of \\( \\sum_{1 \\le i < j \\le 10}(i+j) \\) for odd \\( i+j \\) minus \\( \\sum_{1 \\le i < j \\le 10}(i+j) \\) for even \\( i+j \\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Hummingbird",
"style": "rule"
} | {
"index": 9947,
"need_tools_kwargs": true,
"question": "Which British film features extra Shane Hart?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9948,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Hitman 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": "2",
"style": "rule"
} | {
"index": 9949,
"need_tools_kwargs": true,
"question": "Given the function \\( f(x) = ax^2 + bx + c \\), where \\( a, b, c \\) are real numbers and \\( a > 100 \\), determine the maximum number of integers \\( x \\) such that \\( |f(x)| \\leq 50 \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9950,
"need_tools_kwargs": true,
"question": "Are both bands, 1X Band and The Grip Weeds, 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": "Iron Parma",
"style": "rule"
} | {
"index": 9951,
"need_tools_kwargs": true,
"question": "What is the name of the shield that the Warrior starting class in Dark Souls II starts with?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "East Loch Tarbert",
"style": "rule"
} | {
"index": 9952,
"need_tools_kwargs": true,
"question": "Robert the Bruce extended a castle located on the southern shore of which Loch ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9953,
"need_tools_kwargs": true,
"question": "First, consider the integers \\( a \\) and \\( b \\) chosen at random from the set \\( \\{1, 2, 3, \\ldots, 20\\} \\). Determine the probability that the expression \\( 2^a + 5^b \\) has a units digit of \\( 7 \\) and is divisible by \\( 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": "yes",
"style": "rule"
} | {
"index": 9954,
"need_tools_kwargs": true,
"question": "Are both villages, Taqiabad-E Telayi and Bolghan, located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{4}{9}",
"style": "rule"
} | {
"index": 9955,
"need_tools_kwargs": true,
"question": "Given that $\\sin x + \\sin y = \\frac{1}{3}$, find the maximum value of $\\sin y - \\cos^2 x$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "May 15, 1951",
"style": "rule"
} | {
"index": 9956,
"need_tools_kwargs": true,
"question": "When was Ann Walton Kroenke's only sister 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": "Sam Bankman-Fried",
"style": "rule"
} | {
"index": 9957,
"need_tools_kwargs": true,
"question": "Who is the individual reported by TechCrunch to have pleaded not-guilty to charges of fraud and conspiracy, is facing a criminal trial to determine his guilt, and is accused by the prosecution of committing fraud to gain wealth, power, and influence?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Dwight David Howard",
"style": "rule"
} | {
"index": 9958,
"need_tools_kwargs": true,
"question": "The 2013–14 Houston Rockets season was the 47th season of the franchise in the National Basketball Association (NBA), and the 43rd based in Houston, the season is best remembered for acquiring from from the Los Angeles Lakers, which American professional basketball player that plays center, and spent his high school career at Southwest Atlanta Christian Academy?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 9959,
"need_tools_kwargs": true,
"question": "In the tetrahedron \\(ABCD\\), you are given that \\(AD = 2\\sqrt{3}\\), \\(\\angle BAC = 60^\\circ\\), and \\(\\angle BAD = \\angle CAD = 45^\\circ\\). A sphere is tangent to the plane \\(ABC\\) at point \\(D\\) and is inscribed within the circumsphere of the tetrahedron, with a radius of 1. Determine the radius of the circumsphere of tetrahedron \\(ABCD\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1740",
"style": "rule"
} | {
"index": 9960,
"need_tools_kwargs": true,
"question": "Mr. A initially owns a house valued at $12000$. He sells the house to Mr. B at a 15% loss. After purchasing the house, Mr. B spends $300 on maintenance and then sells the house back to Mr. A at a 20% gain on his purchase price. Calculate how much Mr. A loses and how much Mr. B gains after these transactions.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9961,
"need_tools_kwargs": true,
"question": "Do both directors of films Red Wood Pigeon and The Marriage Of Krechinsky 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... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 9962,
"need_tools_kwargs": true,
"question": "Are both Choqa Bala-Ye Olya and Cheshmeh Panbeh 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": "9 April 2009",
"style": "rule"
} | {
"index": 9963,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Barsaat Ki Ek Raat?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 9964,
"need_tools_kwargs": true,
"question": "已知一个圆柱形水杯的质量为 \\(a \\mathrm{~g}\\)，其重心在圆柱轴的中点处 (杯底厚度及质量均忽略不计，且水杯直立放置）。质量为 \\(b \\mathrm{~g}\\) 的水恰好装满水杯，装满水后的水杯的重心还在圆柱轴的中点处。水杯内装多少克水可以使装入水后的水杯的重心最低？答案的形式为 \\(\\left(\\sqrt{ka^{2}+mab}-na\\right) g\\)，请给出 \\(k+m+n\\) 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": "2",
"style": "rule"
} | {
"index": 9965,
"need_tools_kwargs": true,
"question": "Three-digit powers of $2$ and $5$ are used in this \"cross-number\" puzzle. What is the only possible digit for the outlined square?\n\\[\\begin{array}{lcl} \\textbf{ACROSS} & & \\textbf{DOWN} \\\\ \\textbf{2}.~ 2^m & & \\textbf{1}.~ 5^n \\end{array}\\]\n\n$\\text{(A)}\\ 0 \\qquad \\text{(B)}\\ 2 \\qquad \\text{(C)}\\ 4 \\qquad \\text{(D)}\\ 6 \\qquad \\text{(E)}\\ 8$",
"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... | math | {
"ground_truth": "100",
"style": "rule"
} | {
"index": 9966,
"need_tools_kwargs": true,
"question": "An engineer undertakes a project to build a road 15 km long in 300 days and employs a certain number of men for the purpose. After 100 days, he finds only 2.5 km of the road has been completed. He must employ approximately 60 extra men to finish the work in time. How many men did he initially employ for the project?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9967,
"need_tools_kwargs": true,
"question": "Are Pelutho and Deqaluiyeh 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": "60",
"style": "rule"
} | {
"index": 9968,
"need_tools_kwargs": true,
"question": "In a geometric configuration, angle \\( B \\) measures \\( 120^\\circ \\) and is adjacent to angle \\( C \\) on a straight line. There is a smaller triangle adjacent to these angles, where one angle measures \\( 50^\\circ \\). Calculate the measure of angle \\( A \\) in another adjacent smaller triangle, knowing that \\( A \\) and \\( B \\) form a linear pair with another angle of the configuration.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "44",
"style": "rule"
} | {
"index": 9969,
"need_tools_kwargs": true,
"question": "设 \\(a, b\\) 是从集合 \\(\\{1,2,3,4,5\\}\\) 中随机选取的数，则直线 \\(y=ax+b\\) 与圆 \\(x^2+y^2=2\\) 有公共点的概率的原始答案是以 \\(\\dfrac{k}{m}\\) 的形式给出的，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": "105^\\circ",
"style": "rule"
} | {
"index": 9970,
"need_tools_kwargs": true,
"question": "In the diagram, square $WXYZ$ has sides of length $5,$ and $\\triangle WXF$ is equilateral. Line segments $WF$ and $WZ$ intersect at $R.$ Point $S$ is on $YZ$ such that $RS$ is perpendicular to $YZ$ and $RS=y.$ [asy]\npair W, X, Y, Z, F, R, S;\nW=(0,0);\nX=(5,0);\nY=(5,-5);\nZ=(0,-5);\nF=(2.5,-4.33);\nR=(3.18,-3.18);\nS=(5,-3.18);\ndraw(W--X--Y--Z--W--F--X);\ndraw(W--Z);\ndraw(R--S, dashed);\nlabel(\"W\", W, NW);\nlabel(\"X\", X, NE);\nlabel(\"Y\", Y, SE);\nlabel(\"Z\", Z, SW);\nlabel(\"F\", F, S);\nlabel(\"R\", R, W);\nlabel(\"S\", S, dir(0));\nlabel(\"$y$\", (R+S)/2, N);\nlabel(\"5\", (W+X)/2, N);\n[/asy]\nDetermine the measure of angle $RYS.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9971,
"need_tools_kwargs": true,
"question": "Find the number of even integers \\( n \\) such that \\( 0 \\le n \\le 100 \\) and \\( 5 \\mid n^2 \\cdot 2^{2n^2} + 1 \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\left[ 0, \\frac{9}{8} \\right]",
"style": "rule"
} | {
"index": 9972,
"need_tools_kwargs": true,
"question": "Find the range of $f(x) = \\sin^4 x - \\sin x \\cos x +\\cos^4 x.$",
"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": "\\frac{9}{4}-\\ln16",
"style": "rule"
} | {
"index": 9973,
"need_tools_kwargs": true,
"question": "Calculate the definite integral:\n\n$$\n\\int_{0}^{\\arcsin (3 / \\sqrt{10})} \\frac{2 \\operatorname{tg} x - 5}{(4 \\cos x - \\sin x)^{2}} \\, dx\n$$",
"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": "20",
"style": "rule"
} | {
"index": 9974,
"need_tools_kwargs": true,
"question": "In the tetrahedron \\( S-ABC \\), the three pairs of opposite edges are equal, specifically \\( \\sqrt{34}, \\sqrt{41}, 5 \\). What is the volume of this tetrahedron?\nA. 20\nB. \\(10 \\sqrt{7}\\)\nC. \\(20 \\sqrt{3}\\)\nD. 30",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Once Upon a Time in America",
"style": "rule"
} | {
"index": 9975,
"need_tools_kwargs": true,
"question": "In which film did the female lead in the film Hulk make her film 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... | math | {
"ground_truth": "30 + x = 7(10 - x)",
"style": "rule"
} | {
"index": 9976,
"need_tools_kwargs": true,
"question": "According to the problem, set the unknowns and formulate the equation (no need to solve): There are two construction teams, Team A has 30 members, and Team B has 10 members. How should the number of people in the two teams be adjusted so that the number of people in Team A is 7 times the number of people in Team 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": "1989",
"style": "rule"
} | {
"index": 9977,
"need_tools_kwargs": true,
"question": " Stands for Decibels is a 1981 album that has been cited as an influence by a Scottish alternative rock band formed in what year?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(x + 1)^2",
"style": "rule"
} | {
"index": 9978,
"need_tools_kwargs": true,
"question": "Suppose \\( y = f(x) \\) is a quadratic function, the equation \\( f(x) = 0 \\) has two equal real roots, and \\( f'(x) = 2x + 2 \\). Find the expression for \\( y = 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": "48",
"style": "rule"
} | {
"index": 9979,
"need_tools_kwargs": true,
"question": "Let $ p_{1} < p_{2} < \\ldots < p_{24}$ be the prime numbers on the interval $ \\left[3,100\\right]$. Find the smallest value of $ a \\ge 0$ such that $ \\sum_{i=1}^{24} p_{i}^{99!} \\equiv a \\ (\\text{mod} \\ 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": "no",
"style": "rule"
} | {
"index": 9980,
"need_tools_kwargs": true,
"question": "Were both Michel Vovelle and Rosa Speer, born in the same place?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "591",
"style": "rule"
} | {
"index": 9981,
"need_tools_kwargs": true,
"question": "设复数 $z$ 满足 $|3z-2i|=6$，令 $z_1=\\frac{z^2-10z+74}{z-5+7i}$，则 $|z_1|$ 的最大值的原始答案形式为 $k + \\frac{\\sqrt{m}}{n}$，请给出 $k + m + n$ 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": "\\frac{1}{8}",
"style": "rule"
} | {
"index": 9982,
"need_tools_kwargs": true,
"question": "Square \\( ABCD \\) has an area of 4. \\( E \\) is the midpoint of \\( AB \\). Similarly, \\( F, G, H, \\) and \\( I \\) are the midpoints of \\( DE, CF, DG, \\) and \\( CH \\), respectively. The area of \\(\\triangle IDC\\) is\n(A) \\(\\frac{1}{4}\\)\n(B) \\(\\frac{1}{8}\\)\n(C) \\(\\frac{1}{16}\\)\n(D) \\(\\frac{1}{32}\\)\n(E) \\(\\frac{1}{64}\\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{125\\sqrt{15} - 749}{1024}",
"style": "rule"
} | {
"index": 9983,
"need_tools_kwargs": true,
"question": "If $\\cos \\theta = \\frac{1}{4},$ find $\\cos 5 \\theta.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "78",
"style": "rule"
} | {
"index": 9984,
"need_tools_kwargs": true,
"question": "From five number cards $0, 2, 4, 6, 8$, three different cards are chosen to form a three-digit number. How many different three-digit numbers can be formed (6 is considered as 9 when reversed)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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(45, -2), (-45, -2), (45, 2), (-45, 2)\n",
"style": "rule"
} | {
"index": 9985,
"need_tools_kwargs": true,
"question": "Determine, with justification, all pairs of integers \\((x, y)\\) that satisfy the equation \\(x^2 - y^4 = 2009\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Tuppe Tuppe, Marescià!",
"style": "rule"
} | {
"index": 9986,
"need_tools_kwargs": true,
"question": "Which film has the director who is older than the other, Tuppe Tuppe, Marescià! or Bâton Rouge (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": "King Xiaowen of Qin",
"style": "rule"
} | {
"index": 9987,
"need_tools_kwargs": true,
"question": "Regarding the founder of the Qin dynasty, who was his grandfather?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "58\\%",
"style": "rule"
} | {
"index": 9988,
"need_tools_kwargs": true,
"question": "In an election, candidate Douglas won some percent of the total vote in counties X and Y. He won 64 percent of the vote in county X and 46 percent of the vote in county Y. The ratio of people who voted in county X to county Y is 2:1. What percent of the total vote did candidate Douglas win in counties X and 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": "no",
"style": "rule"
} | {
"index": 9989,
"need_tools_kwargs": true,
"question": "Do director of film Streets Of Blood and director of film Raoni share the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "$-1<x<7$",
"style": "rule"
} | {
"index": 9990,
"need_tools_kwargs": true,
"question": "The symbol $|a|$ means $+a$ if $a$ is greater than or equal to zero, and $-a$ if a is less than or equal to zero; the symbol $<$ means \"less than\"; \nthe symbol $>$ means \"greater than.\" \nThe set of values $x$ satisfying the inequality $|3-x|<4$ consists of all $x$ such that:",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "financial services",
"style": "rule"
} | {
"index": 9991,
"need_tools_kwargs": true,
"question": "In what industry did the aviator who André Borschberg replaced as the longest solo flight in an airplane of any kind record holder make his fortune?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "D: Fourth Quadrant",
"style": "rule"
} | {
"index": 9992,
"need_tools_kwargs": true,
"question": "Given the complex number $z= \\frac {i^{2016}}{3+2i}$, determine which quadrant of the complex plane the corresponding point of the complex number $z$ is located in.\nA: First Quadrant\nB: Second Quadrant\nC: Third Quadrant\nD: Fourth Quadrant",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "June 1975",
"style": "rule"
} | {
"index": 9993,
"need_tools_kwargs": true,
"question": "Frances Shand Kydd's former husband was Viscount Althorp until when>",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Mercury Records",
"style": "rule"
} | {
"index": 9994,
"need_tools_kwargs": true,
"question": "What record company released a musical with music by Burton Lane and a book by Alan Jay Lerner?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{\\sqrt{16-2\\sqrt{3}}}{3}",
"style": "rule"
} | {
"index": 9995,
"need_tools_kwargs": true,
"question": "Given the polar equation of curve C is $\\rho=2\\cos\\theta+4\\sin\\theta$, and the polar coordinates of point P are $(3, \\frac{\\pi}{2})$. Taking the pole as the origin of the Cartesian coordinate system and the polar axis as the positive half-axis of the x-axis, establish the Cartesian coordinate system xOy. In the Cartesian coordinate system, line l passes through point P with an inclination angle of $\\frac{\\pi}{3}$.\n(1) Write the Cartesian equation of curve C and the parametric equation of line l;\n(2) Suppose line l intersects curve C at points A and B, find the value of $\\frac{1}{|PA|} + \\frac{1}{|PB|}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "13 November 1993",
"style": "rule"
} | {
"index": 9996,
"need_tools_kwargs": true,
"question": "What is the date of death of the composer of film Olavu Geluvu?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "16",
"style": "rule"
} | {
"index": 9997,
"need_tools_kwargs": true,
"question": "The sum of the digits of a ten-digit number is four. What can be the sum of the digits of the square of this number?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 9998,
"need_tools_kwargs": true,
"question": "What is the number of months that Kingda Ka was closed after being struck by lightning in 2009?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Andre",
"style": "rule"
} | {
"index": 9999,
"need_tools_kwargs": true,
"question": "Mark Elliot was a voice actor in what comedy drama film about involving an encounter with a seal?",
"split": "train"
} | null |
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