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": "the Eddie Gottlieb Trophy",
"style": "rule"
} | {
"index": 200,
"need_tools_kwargs": true,
"question": "What trophy did Larry Johnson earn in 1992?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 201,
"need_tools_kwargs": true,
"question": "Consider a parallelogram \\( ABCD \\) where point \\( M \\) is the midpoint of side \\( BC \\). A point \\( K \\) is chosen on side \\( AD \\) such that the length of segment \\( BK \\) is equal to the length of segment \\( BM \\), and the quadrilateral \\( KBMD \\) is inscribed in a circle. \n\n1. If the length of side \\( AD \\) is 19, determine the length of segment \\( MD \\).\n2. Given that the measure of angle \\( BAD \\) is \\( 44^\\circ \\), find the measure of angle \\( KMD \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 202,
"need_tools_kwargs": true,
"question": "Do director of film Worlds Apart (2015 Film) and director of film Il Medico... La Studentessa 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": "The Mysterious X",
"style": "rule"
} | {
"index": 203,
"need_tools_kwargs": true,
"question": "Which film has the director who was born earlier, Mud (1997 Film) or The Mysterious 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": "3",
"style": "rule"
} | {
"index": 204,
"need_tools_kwargs": true,
"question": "若实数 $\\alpha, \\beta, \\gamma$ 构成以 2 为公比的等比数列， $\\sin \\alpha, \\sin \\beta, \\sin \\gamma$ 构成等比数列，则 $\\cos \\alpha$ 的值是以\\frac{m}{n}格式给出，请给出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... | qa | {
"ground_truth": "People's Republic of China",
"style": "rule"
} | {
"index": 205,
"need_tools_kwargs": true,
"question": "What do Xinzhou and Binzhou 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": "Compliance",
"style": "rule"
} | {
"index": 206,
"need_tools_kwargs": true,
"question": "A scam involving a male calling small town fast-food restaurants and pretending to be a police officer to have them strip search employees was turned into a movie of what name?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "heart attack",
"style": "rule"
} | {
"index": 207,
"need_tools_kwargs": true,
"question": "What is the cause of death of director of film Fighting For Justice?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Rwandan genocide",
"style": "rule"
} | {
"index": 208,
"need_tools_kwargs": true,
"question": "What is the name of the genocidal mass slaughter of Tutsi Rwanda, in which Cyprian and Daphrose Rugamba were assassinated?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Benjamin Ricketson Tucker",
"style": "rule"
} | {
"index": 209,
"need_tools_kwargs": true,
"question": "J. William Lloyd based his anarchism upon natural law, unlike which proponent of American individualist anarchism?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "37",
"style": "rule"
} | {
"index": 210,
"need_tools_kwargs": true,
"question": "In a board game, I move on a linear track. For move 1, I stay still. For subsequent moves $n$ where $2 \\le n \\le 30$, I move forward two steps if $n$ is prime and three steps backward if $n$ is composite. How many steps in total will I need to make to return to my original starting position after all 30 moves?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "André Balazs",
"style": "rule"
} | {
"index": 211,
"need_tools_kwargs": true,
"question": "London Burning: Portraits from a Creative City contains a portrait of a CEO born January 31, 1957 known as who?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "672.1",
"style": "rule"
} | {
"index": 212,
"need_tools_kwargs": true,
"question": "\nAdva van egy kör egyenlete:\n$$\nx^{2}+y^{2}=25\n$$\n\nRajzoljunk a $P(2,-8)$ pontból a körhöz érintőket, és $\\mathrm{s}$ legyenek az érintési pontok $A$ és $B$. Számítsuk ki az $ABP$ háromszögnek az $X$ tengely körül való forgásából származó test köbtartalmát.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "fighting global poverty",
"style": "rule"
} | {
"index": 213,
"need_tools_kwargs": true,
"question": "What is the mission of the humanitarian aid and development agency of which Michelle Nunn is the president?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Conversation",
"style": "rule"
} | {
"index": 214,
"need_tools_kwargs": true,
"question": "Andrew Jaspan was the co-founder of what not-for-profit media outlet?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 215,
"need_tools_kwargs": true,
"question": "Let $PQRS$ be a square piece of paper. $P$ is folded onto $R$ and then $Q$ is folded onto $S$. The area of the resulting figure is 9 square inches. Find the perimeter of square $PQRS$. [asy]\n/* AMC8 1998 #20P */\nsize(1inch,1inch);\nlabel(\"$P$\", (0, 72), SE);\nlabel(\"$Q$\", (72, 72), SW);\nlabel(\"$S$\", (0, 0), NE);\nlabel(\"$R$\", (72, 0), NW);\ndraw((0,0)--(72,0)--(72,72)--(0,72)--cycle);\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... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 216,
"need_tools_kwargs": true,
"question": "Do both films Illuminata (Film) and The Day Of The Siege: September Eleven 1683 have the directors 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": "Nicholas Blake",
"style": "rule"
} | {
"index": 217,
"need_tools_kwargs": true,
"question": "What is the pseudonym of the poet who edited \"A New Anthology of Modern Verse 1920-1940\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Bruce Grobbelaar",
"style": "rule"
} | {
"index": 218,
"need_tools_kwargs": true,
"question": "What 2014 Ottawa Fury goalkeeper coach missed a shot deflected off Ronnie Whelan in the 1987 Football League Cup Final?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Lord Dalmeny",
"style": "rule"
} | {
"index": 219,
"need_tools_kwargs": true,
"question": "Robert Collier, 2nd Baron Monkswell was briefly Under-Secretary of State for War under a man who was known by the courtesy title of?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 October 1988",
"style": "rule"
} | {
"index": 220,
"need_tools_kwargs": true,
"question": "What is the date of death of Hamengkubuwono X's father?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "2 May 1936",
"style": "rule"
} | {
"index": 221,
"need_tools_kwargs": true,
"question": "When was the English pop singer who performed \"When There's No You\" born? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "7200",
"style": "rule"
} | {
"index": 222,
"need_tools_kwargs": true,
"question": "Let $n$ be a $5$-digit number, and let $q$ and $r$ be the quotient and the remainder, respectively, when $n$ is divided by $50$. Determine how many values of $n$ make $q+r$ divisible by $13$.\nA) 7000\nB) 7200\nC) 7400\nD) 7600",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "17",
"style": "rule"
} | {
"index": 223,
"need_tools_kwargs": true,
"question": "The base of a triangle is $80$, and one side of the base angle is $60^\\circ$. The sum of the lengths of the other two sides is $90$. Find the length of the shortest side of the triangle.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\$950",
"style": "rule"
} | {
"index": 224,
"need_tools_kwargs": true,
"question": "if a 5 percent deposit that has been paid toward the purchase of a certain product is $ 50 , how much more remains to be paid ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 225,
"need_tools_kwargs": true,
"question": "If \\(\\frac{3}{x+10} = \\frac{1}{2x}\\), then \\(x\\) equals\n(A) \\(\\frac{1}{2}\\)\n(B) 10\n(C) -4\n(D) 2\n(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... | qa | {
"ground_truth": "July 8, 1944",
"style": "rule"
} | {
"index": 226,
"need_tools_kwargs": true,
"question": "When did the director of film Love Finds Andy Hardy 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": "Nathaniel Shaler",
"style": "rule"
} | {
"index": 227,
"need_tools_kwargs": true,
"question": "What is the name of the paleontologist and professor who influenced Porter Sargent?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "English geographer, academic, politician, the first Principal",
"style": "rule"
} | {
"index": 228,
"need_tools_kwargs": true,
"question": "The English man who influenced Zbigniew Brzezinski had what occupations?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "0.973",
"style": "rule"
} | {
"index": 229,
"need_tools_kwargs": true,
"question": "Calculate the sum of the series $\\sum_{n=1}^{\\infty} \\frac{(-1)^{n+1}}{n^{5}}$ with an accuracy of $10^{-3}$.",
"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... | math | {
"ground_truth": "630",
"style": "rule"
} | {
"index": 230,
"need_tools_kwargs": true,
"question": "PQR Entertainment wishes to divide their popular idol group PRIME, which consists of seven members, into three sub-units - PRIME-P, PRIME-Q, and PRIME-R - with each of these sub-units consisting of either two or three members. In how many different ways can they do this, if each member must belong to exactly one sub-unit?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 20, 1923",
"style": "rule"
} | {
"index": 231,
"need_tools_kwargs": true,
"question": "What is the date of birth of Kathy Fields's mother?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Narváez expedition was a Spanish journey of exploration and colonization started in 1527 that intended to establish colonial settlements and garrisons in Florida",
"style": "rule"
} | {
"index": 232,
"need_tools_kwargs": true,
"question": "Why was the Narvaez expedition important to Spanish Florida?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "David Metzger",
"style": "rule"
} | {
"index": 233,
"need_tools_kwargs": true,
"question": "What American orchestrator composed the music for Disney's 52nd Disney animated feature 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": "The Teddy Bear Song",
"style": "rule"
} | {
"index": 234,
"need_tools_kwargs": true,
"question": "The singer who released the single \"Kid Stuff\" in 1973 is best known for what other song?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Granby",
"style": "rule"
} | {
"index": 235,
"need_tools_kwargs": true,
"question": "Where did the director of film Red (1970 Film) 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": "1248",
"style": "rule"
} | {
"index": 236,
"need_tools_kwargs": true,
"question": "In how many different ways can the digits $0,1,2,3,4,5,6$ form a seven-digit number that is divisible by 4? (The number cannot start with 0.)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Halima Aden",
"style": "rule"
} | {
"index": 237,
"need_tools_kwargs": true,
"question": "Which comes later: the day that Aden was born, or the day that IMG re-launched its men's division after its dismantling?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 : \\sqrt{2} : (\\sqrt{3} - 1)",
"style": "rule"
} | {
"index": 238,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, given $\\angle A = 45^{\\circ}$ and $\\angle B = 60^{\\circ}$, find the ratio of the distances from the circumcenter $O$ to each of the three sides of $\\triangle ABC$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{31}{13}",
"style": "rule"
} | {
"index": 239,
"need_tools_kwargs": true,
"question": "Define $f(x)$ to be the minimum value of the three numbers $3x + 1,$ $-\\frac{4}{3}x + 3,$ and $\\frac{1}{3} x + 9$ for each value of $x.$ Find the maximum value of $f(x).$",
"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... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 240,
"need_tools_kwargs": true,
"question": "Are Zolotonozhka and Tut, Yazd both located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Argentine",
"style": "rule"
} | {
"index": 241,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Chavez Cage Of Glory?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{18}",
"style": "rule"
} | {
"index": 242,
"need_tools_kwargs": true,
"question": "On a 6 by 6 grid of points, what fraction of the larger square's area is inside the shaded square if the shaded square is rotated 45 degrees with vertices at points (2,2), (3,3), (2,4), and (1,3)? Express your answer as a common fraction.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "San Juan",
"style": "rule"
} | {
"index": 243,
"need_tools_kwargs": true,
"question": "A Primera División team plays in which city that is located in the Cyuo region of Argentina?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "33",
"style": "rule"
} | {
"index": 244,
"need_tools_kwargs": true,
"question": "In a physical education class, students line up in four rows to do exercises. One particular class has over 30 students, with three rows having the same number of students and one row having one more student than the other three rows. What is the smallest possible class size for this physical education class?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 245,
"need_tools_kwargs": true,
"question": "设点 $A(2,0)$, 点 $B$ 在曲线 $y=\\sqrt{1-x^{2}}$上, $\\triangle A B C$ 是以 $A$ 为直角顶点的等腰直角三角形。则 $|O C|$ 的最大值的答案形式为 k\\sqrt{n} + m，请计算k + n + 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": "16",
"style": "rule"
} | {
"index": 246,
"need_tools_kwargs": true,
"question": "Asli will distribute $100$ candies among her brother and $18$ friends of him. Asli splits friends of her brother into several groups and distributes all the candies into these groups. In each group, the candies are shared in a fair way such that each child in a group takes the same number of candies and this number is the largest possible. Then, Asli's brother takes the remaining candies of each group. At most how many candies can Asli's brother 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... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 247,
"need_tools_kwargs": true,
"question": "Are director of film Padi Pishir Barmi Baksha and director of film Flying Lariats 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": "Cockburn Power Station (CKB)",
"style": "rule"
} | {
"index": 248,
"need_tools_kwargs": true,
"question": "What power station commissioned in 2003 is located in the western third of Australia?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 249,
"need_tools_kwargs": true,
"question": "Sam walked down Elm Street and passed five houses in a row, each painted a different bright color: green, violet, indigo, black, and teal. He passed the green house before the violet house, and he passed the indigo house before the teal house. Additionally, the indigo house was not next to the teal house, and the green house was not next to the violet house. Given these constraints, determine how many different orderings of the colored houses are possible.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Indiana Pacers",
"style": "rule"
} | {
"index": 250,
"need_tools_kwargs": true,
"question": "The former head coach of the team that finished 11th place in the NBA's Western Conference in the 2011-12 season is now the head coach for which NBA 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": "comic science fiction",
"style": "rule"
} | {
"index": 251,
"need_tools_kwargs": true,
"question": "What genre is the third film from the Three Flavours Cornetto trilogy?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Dan Ceman",
"style": "rule"
} | {
"index": 252,
"need_tools_kwargs": true,
"question": "Who is younger, Dan Ceman or Joachim Fricker?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Vivian Charles",
"style": "rule"
} | {
"index": 253,
"need_tools_kwargs": true,
"question": "The star of the 1989 film \"Glory! Glory!\" played what role on the ABC series \"Pushing Daisies\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Nieves Navarro",
"style": "rule"
} | {
"index": 254,
"need_tools_kwargs": true,
"question": "Who is the spouse of the director of film Killer Cop?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "23",
"style": "rule"
} | {
"index": 255,
"need_tools_kwargs": true,
"question": "记 \\(F(x, y)=(x-y)^{2}+\\left(\\frac{x}{3}+\\frac{3}{y}\\right)^{2}(y \\neq 0)\\)。求 \\(F(x, y)\\) 的最小值。答案的形式为 \\(\\frac{k}{m}\\)，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... | qa | {
"ground_truth": "Thursday Night Football",
"style": "rule"
} | {
"index": 256,
"need_tools_kwargs": true,
"question": "The World's Funniest was hosted by an American sportscaster who also hosted The NFL Today, and what other show on CBS Sports?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-4",
"style": "rule"
} | {
"index": 257,
"need_tools_kwargs": true,
"question": "Suppose \\(a\\) is a real number such that the equation \n\\[ a\\cdot(\\sin{x}+\\sin{(2x)}) = \\sin{(3x)} \\]\nhas more than one solution in the interval \\((0, \\pi)\\). The set of all such \\(a\\) can be written in the form \\((p,q) \\cup (q,r),\\) where \\(p, q,\\) and \\(r\\) are real numbers with \\(p < q < r\\). What is the value of \\(p+q+r\\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "five-star",
"style": "rule"
} | {
"index": 258,
"need_tools_kwargs": true,
"question": "How many stars is the hotel located in front of the Gokul pub in Colaba, Mumbai?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Czech",
"style": "rule"
} | {
"index": 259,
"need_tools_kwargs": true,
"question": "Which country the director of film Frasquita 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": "4 \\sqrt{15}",
"style": "rule"
} | {
"index": 260,
"need_tools_kwargs": true,
"question": "For the ellipse $16x^2 - 64x + y^2 + 4y + 4 = 0,$ find the distance between the foci.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 261,
"need_tools_kwargs": true,
"question": "Are both Neighbors (1981 Film) and Marlie The Killer 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": "1999",
"style": "rule"
} | {
"index": 262,
"need_tools_kwargs": true,
"question": "A private U.S. for-profit company founded in 1989 that specializes in information security and cybersecurity training founded the certification entity in what year?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 263,
"need_tools_kwargs": true,
"question": "Are both villages, Nosratabad, Kamyaran and Lat Mahalleh, Mazandaran, 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": "October 13, 1961",
"style": "rule"
} | {
"index": 264,
"need_tools_kwargs": true,
"question": "When did Alexandr Hackenschmied's wife 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": "Duke Ellington",
"style": "rule"
} | {
"index": 265,
"need_tools_kwargs": true,
"question": "Ennio Morricone won the BAFTA Award for Best Film Music for two consecutive years. For the second, who is the period-correct music by?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Danny Tamberelli",
"style": "rule"
} | {
"index": 266,
"need_tools_kwargs": true,
"question": "What co-star of \"All That\" also had a role in \"Grand Theft Auto V\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Martha Coolidge",
"style": "rule"
} | {
"index": 267,
"need_tools_kwargs": true,
"question": "Who directed a film that included Sarah Manninen?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1901",
"style": "rule"
} | {
"index": 268,
"need_tools_kwargs": true,
"question": "In what year was the school founded, which the former footballer Robert Bruce Olderman attended ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Creative Response Concepts (CRC)",
"style": "rule"
} | {
"index": 269,
"need_tools_kwargs": true,
"question": "Which public relations firm that works with CPR also helped to devise the Swift Boat Veterans for Truth campaign attacking John Kerry’s Vietnam War record in the 2004 presidential race?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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^2 + (y - 2)^2 = 18",
"style": "rule"
} | {
"index": 270,
"need_tools_kwargs": true,
"question": "In the Cartesian coordinate system, find the standard equation of the largest circle with center at point (0,2) that is tangent to the line $mx - y - 3m - 1 = 0 \\, (m \\in \\mathbb{R})$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Paula D'Alessandris",
"style": "rule"
} | {
"index": 271,
"need_tools_kwargs": true,
"question": "The actress who played Clementine Churchill in \"The Crown\" joined the board of advisors for a theatre company began by who?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "30 November 2015",
"style": "rule"
} | {
"index": 272,
"need_tools_kwargs": true,
"question": "When did the director of film Zigzag Of Success 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": "electronics, chemicals, and telecom products",
"style": "rule"
} | {
"index": 273,
"need_tools_kwargs": true,
"question": "What does the corporation that owns LIG Nex1 make?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1513",
"style": "rule"
} | {
"index": 274,
"need_tools_kwargs": true,
"question": "The group of people Eka Darville's father descended from first arrived in Jamaica in what year?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "19 December 1985",
"style": "rule"
} | {
"index": 275,
"need_tools_kwargs": true,
"question": "When was the Kenyan long- and middle-distance runner which Wes Kittley made a national champion 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": "no",
"style": "rule"
} | {
"index": 276,
"need_tools_kwargs": true,
"question": "Do both films Perdues Dans New York and Web Of The Spider have the directors 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": "512",
"style": "rule"
} | {
"index": 277,
"need_tools_kwargs": true,
"question": "已知 f:\\bZ\\rightarrow\\bZ 的定义域为 \\{1,2,3,4,5\\}，值域包含于 \\{1,2,3,4\\}. 若 f(3) 被 f(5) 整除，则函数 f 共有__________种不同的情况.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Paul Bernard Rodgers",
"style": "rule"
} | {
"index": 278,
"need_tools_kwargs": true,
"question": "Who has performed in more bands, Paul Rodgers or Rob Beckley?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{3}",
"style": "rule"
} | {
"index": 279,
"need_tools_kwargs": true,
"question": "Two isosceles triangles are given with equal perimeters. The base of the second triangle is 15% larger than the base of the first, and the leg of the second triangle is 5% smaller than the leg of the first triangle. Find the ratio of the sides of the first triangle.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "9 October 2016",
"style": "rule"
} | {
"index": 280,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Hunting Flies (1969 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": "\\pm \\frac{4}{5}",
"style": "rule"
} | {
"index": 281,
"need_tools_kwargs": true,
"question": "Let \\( P \\) be a moving point on the major axis of the ellipse \\(\\frac{x^{2}}{25} + \\frac{y^{2}}{16} = 1\\). A line with slope \\( k \\) passes through \\( P \\) and intersects the ellipse at points \\( A \\) and \\( B \\). If the value of \\( |PA|^{2} + |PB|^{2} \\) depends only on \\( k \\) and not on the position of \\( P \\), find the value of \\( k \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{8}{25}",
"style": "rule"
} | {
"index": 282,
"need_tools_kwargs": true,
"question": "Consider a quadrilateral \\(ABCD\\) inscribed in a circle with a diameter of 1, where \\(\\angle D\\) is a right angle and the lengths of sides \\(AB\\) and \\(BC\\) are equal. Given that the perimeter of quadrilateral \\(ABCD\\) is \\(\\frac{9\\sqrt{2}}{5}\\), calculate the area of quadrilateral \\(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": "1 : 3",
"style": "rule"
} | {
"index": 283,
"need_tools_kwargs": true,
"question": "The sides of a right triangle are $a$ and $b$ and the hypotenuse is $c$. A perpendicular from the vertex divides $c$ into segments $r$ and $s$, adjacent respectively to $a$ and $b$. If $a : b = 1 : 3$, then the ratio of $r$ to $s$ is:\n$\\textbf{(A)}\\ 1 : 3\\qquad \\textbf{(B)}\\ 1 : 9\\qquad \\textbf{(C)}\\ 1 : 10\\qquad \\textbf{(D)}\\ 3 : 10\\qquad \\textbf{(E)}\\ 1 : \\sqrt{10}$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "42",
"style": "rule"
} | {
"index": 284,
"need_tools_kwargs": true,
"question": "If digits $A$, $B$, and $C$ (between $0$ and $9$ inclusive) satisfy\n \\begin{tabular}{c@{\\,}c@{\\,}c@{\\,}c}\n & $C$ & $C$ & $A$ \\\\\n + & $B$ & $2$ & $B$ \\\\\\hline\n & $A$ & $8$ & $8$ \\\\\n \\end{tabular}\n what is $A \\cdot B \\cdot C$?",
"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": "35",
"style": "rule"
} | {
"index": 285,
"need_tools_kwargs": true,
"question": "Let $A = (-3, 0),$ $B=(-2,1),$ $C=(2,1),$ and $D=(3,0).$ Suppose that point $P$ satisfies \\[PA + PD = PB + PC = 8.\\]Then the $y-$coordinate of $P,$ when simplified, can be expressed in the form $\\frac{-a + b \\sqrt{c}}{d},$ where $a,$ $b,$ $c,$ $d$ are positive integers. Find $a + b + c + d.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "13th Child",
"style": "rule"
} | {
"index": 286,
"need_tools_kwargs": true,
"question": "Which movie is based on a legendary creature said to inhabit the Pine Barrens of Southern New Jersey, United States?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "third",
"style": "rule"
} | {
"index": 287,
"need_tools_kwargs": true,
"question": "What number Secretary of the Air Force resigned as a result of Charles L. Bartlett's reporting?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 288,
"need_tools_kwargs": true,
"question": "A square is dissected into $n$ congruent non-convex polygons whose sides are parallel to the sides of the square, and no two of these polygons are parallel translates of each other. What is the maximum value of $n$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"index": 289,
"need_tools_kwargs": true,
"question": "Find the minimum positive integer $n\\ge 3$, such that there exist $n$ points $A_1,A_2,\\cdots, A_n$ satisfying no three points are collinear and for any $1\\le i\\le n$, there exist $1\\le j \\le n (j\\neq i)$, segment $A_jA_{j+1}$ pass through the midpoint of segment $A_iA_{i+1}$, where $A_{n+1}=A_1$",
"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": "25",
"style": "rule"
} | {
"index": 290,
"need_tools_kwargs": true,
"question": "Three mice discovered a pile of peanuts and agreed to divide them equally the next day. The first mouse arrived early the next day and found the peanuts could not be divided equally by three, so it ate one peanut. After that, the remaining peanuts could be divided into three equal parts, and it took its share. The second and third mice arrived one after another and encountered the same problem; they each ate one peanut and then divided the remaining peanuts into three equal parts, taking their share. What is the minimum number of peanuts in the pile originally?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 291,
"need_tools_kwargs": true,
"question": "If \\(48ab = ab \\times 65\\), then \\(ab =\\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "18",
"style": "rule"
} | {
"index": 292,
"need_tools_kwargs": true,
"question": "What is the maximum number of pieces of birthday cake of sizes 2\" x 2\", 4\" x 4\", and 6\" x 6\" that can be cut from a cake 20\" x 20\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "120",
"style": "rule"
} | {
"index": 293,
"need_tools_kwargs": true,
"question": "甲、乙、丙三人从 1 楼乘电梯去商场的 3 到 7 楼，每层楼最多下 2 人，则下电梯的方法有__________种.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Megalithic Symphony",
"style": "rule"
} | {
"index": 294,
"need_tools_kwargs": true,
"question": "Which debut album has sold over half a million copies in the United States and is by an American alternative rock band that released its first digital debut EP on May 2010 of a different album?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"index": 295,
"need_tools_kwargs": true,
"question": "Joey, Chloe, and their son, Max, all share the same birthday. Joey is 2 years older than Chloe, and Max is exactly 2 years old today. Today marks the first of 6 birthdays wherein Joey's age will be an integral multiple of Max's age. Determine the sum of the digits of Chloe's age the next time her age is an integral multiple of Max's 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... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 296,
"need_tools_kwargs": true,
"question": "Define a $\\textit{strong word}$ as a sequence of letters that consists only of the letters $A$, $B$, and $C$, where:\n- $A$ is never immediately followed by $B$ or $C$,\n- $B$ is never immediately followed by $A$ or $C$,\n- $C$ is never immediately followed by $A$ or $B$.\nHow many eight-letter $\\textit{strong words}$ are there?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "22 December 1993",
"style": "rule"
} | {
"index": 297,
"need_tools_kwargs": true,
"question": "What is the birth day of the the Irish rugby union player who competed in the Pro14?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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, 3",
"style": "rule"
} | {
"index": 298,
"need_tools_kwargs": true,
"question": "Given two non-intersecting planes $α$ and $β$, and two non-intersecting lines $m$ and $n$. The following four propositions are provided:\n1) If $n⊂α$, $n$ is parallel to $β$, and $α∩β=m$, then $n$ is parallel to $m$;\n2) If $m⊂α$, $n⊂α$, $m$ is parallel to $β$, and $n$ is parallel to $β$, then $α$ is parallel to $β$;\n3) If $α⊥β$, $α∩β=m$, $n⊂α$, and $n⊥m$, then $n⊥β$;\n4) If $m⊥α$, $α⊥β$, and $m$ is parallel to $n$, then $n$ is parallel to $β$.\nIdentify the correct proposition number(s).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1513",
"style": "rule"
} | {
"index": 299,
"need_tools_kwargs": true,
"question": "The function $y=f(x)$ is an even function with the smallest positive period of $4$, and when $x \\in [-2,0]$, $f(x)=2x+1$. If there exist $x\\_1$, $x\\_2$, $…x\\_n$ satisfying $0 \\leqslant x\\_1 < x\\_2 < … < x\\_n$, and $|f(x\\_1)-f(x\\_2)|+|f(x\\_2)-f(x\\_1)|+…+|f(x\\_{n-1}-f(x\\_n))|=2016$, then the minimum value of $n+x\\_n$ is \\_\\_\\_\\_\\_\\_.",
"split": "train"
} | null |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.