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": "107,702",
"style": "rule"
} | {
"index": 6900,
"need_tools_kwargs": true,
"question": " Clark Mountain is a summit in a county with a 2010 population of what?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0.4752",
"style": "rule"
} | {
"index": 6901,
"need_tools_kwargs": true,
"question": "Experts and Viewers play \"What? Where? When?\" until one side wins six rounds—the first to win six rounds wins the game. The probability of the Experts winning a single round is 0.6, and there are no ties. Currently, the Experts are losing with a score of ... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "SC Heerenveen",
"style": "rule"
} | {
"index": 6902,
"need_tools_kwargs": true,
"question": " Zymer Bytyqi was the youngest to ever play in the Norwegian top league until it was broken by the player from which Dutch club?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 6903,
"need_tools_kwargs": true,
"question": "设数列 $\\left\\{a_{n}\\right\\}$ 满足 $a_{1}=6$, $a_{n+1}=\\left[\\frac{5}{4} a_{n}+\\frac{3}{4} \\sqrt{a_{n}^{2}-2}\\right]\\left(n \\in \\mathbf{Z}_{+}\\right)$.\n若 $S_{n}$ 为 $\\left\\{a_{n}\\right\\}$ 的前 $n$ 项和, 求 $S_{2016}$ 的个位数字。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Andrei Konchalovsky",
"style": "rule"
} | {
"index": 6904,
"need_tools_kwargs": true,
"question": "Who directed the film for which Eric Roberts earned an Academy Award nomination ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\$2040",
"style": "rule"
} | {
"index": 6905,
"need_tools_kwargs": true,
"question": "Alan bought a $2000 phone online. John bought it 2% more expensive in a local store. How much did John spend on his phone?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Crimson Kimono",
"style": "rule"
} | {
"index": 6906,
"need_tools_kwargs": true,
"question": "Which film has the director died first, The Crimson Kimono or Guess Who's Coming to Dinner?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{5}",
"style": "rule"
} | {
"index": 6907,
"need_tools_kwargs": true,
"question": "Positive real numbers \\( u, v, w \\) are not equal to 1. Given that \\( \\log_{u} (vw) + \\log_{v} w = 5 \\) and \\( \\log_{v} u + \\log_{w} v = 3 \\), find the value of \\( \\log_{w} u \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "111.8 m",
"style": "rule"
} | {
"index": 6908,
"need_tools_kwargs": true,
"question": "From point $C$, at a distance of $100 \\mathrm{~m}$, we observe the cross at the top of tower $A B$ at an angle $\\alpha$, and from a distance of $250 \\mathrm{~m}$, we observe it at an angle of $\\frac{\\alpha}{2}$. How tall is the tower?",
"split": "tra... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3 \\sqrt{3}",
"style": "rule"
} | {
"index": 6909,
"need_tools_kwargs": true,
"question": "Define the function $f(x)=8\\sin x-\\tan x$ on the interval $\\left( 0,\\frac{\\pi}{2} \\right)$, find its maximum value.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 6910,
"need_tools_kwargs": true,
"question": "Let \\( a \\) be a positive number. Consider the set \\( T \\) of all points whose rectangular coordinates \\( (x, y) \\) satisfy the following conditions:\n1. \\( a \\leq x \\leq 3a \\)\n2. \\( a \\leq y \\leq 3a \\)\n3. \\( x + y \\geq 2a \\)\n4. \\( x + ... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 6911,
"need_tools_kwargs": true,
"question": "How much Half Moon Grass does the Royalty class start with in Demon's Souls (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": "yes",
"style": "rule"
} | {
"index": 6912,
"need_tools_kwargs": true,
"question": " Is it correct to state that Tetrapanax is an evergreen shrub as opposed to Hippophae which is a genus of sea buckthorns, a deciduous shrub?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{3\\sqrt{2}}{1}",
"style": "rule"
} | {
"index": 6913,
"need_tools_kwargs": true,
"question": "Given that $T$ is a regular tetrahedron and that $C$ is the cube whose vertices are the centers of the faces of $T$, find the ratio of the volume of $T$ to that of $C$. Express your answer as a simplified 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": "Begin Again",
"style": "rule"
} | {
"index": 6914,
"need_tools_kwargs": true,
"question": "What song that was on an album with State of Grace, was released as a promotional single on September 25,2012?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "William David \"Bill\" Forsyth",
"style": "rule"
} | {
"index": 6915,
"need_tools_kwargs": true,
"question": "Who has more well known films, Quincy Perkins or Bill Forsyth?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{3}{5}",
"style": "rule"
} | {
"index": 6916,
"need_tools_kwargs": true,
"question": "A box contains 5 balls of the same size, including 3 white balls and 2 red balls. Two balls are drawn from the box. \n$(1)$ Find the probability of drawing 1 white ball and 1 red ball. \n$(2)$ Let $X$ represent the number of white balls drawn out of the 2... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "\"Beach Boys Concert\"",
"style": "rule"
} | {
"index": 6917,
"need_tools_kwargs": true,
"question": "How many years after The Beach Boys group formed, did the group record the hits featured on Live in Sacramento 1964?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "10 January 1940",
"style": "rule"
} | {
"index": 6918,
"need_tools_kwargs": true,
"question": "When is the composer of film Udayam Kizhakku Thanne '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": "\\frac{1}{10}",
"style": "rule"
} | {
"index": 6919,
"need_tools_kwargs": true,
"question": "Real numbers \\( x \\) and \\( y \\) are chosen independently from specific intervals based on the outcome of flipping a fair coin. If the first coin flip is heads, a second coin flip determines the interval from which \\( x \\) is chosen: if heads again, \... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Weekends In Normandy",
"style": "rule"
} | {
"index": 6920,
"need_tools_kwargs": true,
"question": "Which film was released more recently, Committed (Film) or Weekends In Normandy?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "archaeologist",
"style": "rule"
} | {
"index": 6921,
"need_tools_kwargs": true,
"question": "Mortimer Wheeler and Tessa Wheeler were both well known for advancement in what profession?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Austrian",
"style": "rule"
} | {
"index": 6922,
"need_tools_kwargs": true,
"question": "What nationality is the composer of song Gretchen Am Spinnrade?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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, 4), (4, 2), (-2, -4), (-4, -2)",
"style": "rule"
} | {
"index": 6923,
"need_tools_kwargs": true,
"question": "Find all pairs of unequal integers \\( m \\) and \\( n \\) such that \\( m^n = n^m \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Madras",
"style": "rule"
} | {
"index": 6924,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Aggi Pidugu?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Wight & Hampshire East",
"style": "rule"
} | {
"index": 6925,
"need_tools_kwargs": true,
"question": "The Commissioner is a 1998 Belgian-German drama film directed by George Sluizer, based on the novel of same name by Stanley Patrick Johnson, of West Nethercote, Winsford, Somerset, is a British politician and author, and an expert on environmental and popul... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Colonel John T. Thompson",
"style": "rule"
} | {
"index": 6926,
"need_tools_kwargs": true,
"question": "Who founded a U.S. arms development firm that is best known for an American submachine gun, invented by John T. Thompson in 1918, that became infamous during the Prohibition era?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Henri Girard",
"style": "rule"
} | {
"index": 6927,
"need_tools_kwargs": true,
"question": "What French author wrote the novel that the 1953 French-Italian film the wages of war was adapted 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": "2,148",
"style": "rule"
} | {
"index": 6928,
"need_tools_kwargs": true,
"question": "How many stolen vehicles were recovered in Nigeria by the Nigerian Police Force between 2002 and 2004, when Mustafa Adebayo Balogun was Nigeria's Inspector General of Police?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1111",
"style": "rule"
} | {
"index": 6929,
"need_tools_kwargs": true,
"question": "The four consecutive digits $a$, $b$, $c$ and $d$ are used to form the four-digit numbers $abcd$ and $dcba$. What is the greatest common divisor of all numbers of the form $abcd+dcba$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Eugene O'Neill Theater Center",
"style": "rule"
} | {
"index": 6930,
"need_tools_kwargs": true,
"question": "What theater was where the 1984 play was first staged which was written by a playwright who received two Pulitzer Prizes for Drama?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{11 \\sqrt{3}}{30}",
"style": "rule"
} | {
"index": 6931,
"need_tools_kwargs": true,
"question": "The base of pyramid \\( TABC \\) is a triangle \\( ABC \\) with all sides equal to \\(\\sqrt{3}\\), and the height of the pyramid coincides with the lateral edge \\( TA \\). Find the area of the cross-section of the pyramid by a plane that passes through th... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "6.4",
"style": "rule"
} | {
"index": 6932,
"need_tools_kwargs": true,
"question": "A supermarket purchases 500 kg of sugar oranges at a cost price of 4.80 yuan per kilogram, with an expected weight loss of 10%. If the supermarket intends to achieve a profit of 20% on the sale of these sugar oranges, what should be the retail price per kil... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 6933,
"need_tools_kwargs": true,
"question": "Are both villages, Anarjan, Bostanabad and Tareh, 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": "1.11",
"style": "rule"
} | {
"index": 6934,
"need_tools_kwargs": true,
"question": "Nine copies of a certain pamphlet cost less than $$ 10.00$ while ten copies of the same pamphlet (at the same price) cost more than $$ 11.00$. How much does one copy of this pamphlet cost?\n$\\text{(A)}$ $$1.07$\n$\\text{(B)}$ $$1.08$\n$\\text{(C)}$ $$1.09... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Canadian",
"style": "rule"
} | {
"index": 6935,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Gable And Lombard?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6936,
"need_tools_kwargs": true,
"question": "Let\n\\[f(x) = (\\arccos x)^3 + (\\arcsin x)^3.\\]Find the range of $f(x).$ All functions are in radians. The original answer is in the form \\left[ \\frac{k \\pi^3}{m}, \\frac{n \\pi^3}{p} \\right]. Please find the value of k + m + n + p.",
"split": "tra... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6937,
"need_tools_kwargs": true,
"question": "If \\(3(x-5)=3(18-5)\\), then \\(x\\) is\n(A) \\(\\frac{44}{3}\\)\n(B) \\(\\frac{32}{3}\\)\n(C) 9\n(D) 18\n(E) 81",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Kwak Jae-yong",
"style": "rule"
} | {
"index": 6938,
"need_tools_kwargs": true,
"question": "On Joo-wan appeared in the 2008 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": "(1, 3)",
"style": "rule"
} | {
"index": 6939,
"need_tools_kwargs": true,
"question": "Solve \n\\[\\frac{x^2 - 4x + 3}{(x - 2)^2} < 0.\\]\nEnter your answer using interval notation.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "second release",
"style": "rule"
} | {
"index": 6940,
"need_tools_kwargs": true,
"question": "Renaissance: Sequential Vol is what by an Argentinian house DJ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Drowning Pool",
"style": "rule"
} | {
"index": 6941,
"need_tools_kwargs": true,
"question": "Which American rock band was formed first, Soil or Drowning Pool?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{16}{7}",
"style": "rule"
} | {
"index": 6942,
"need_tools_kwargs": true,
"question": "Given triangle $ABC$ with sides $AB = 7$, $AC = 8$, and $BC = 5$, find the value of \n\\[\\frac{\\cos \\frac{A - B}{2}}{\\sin \\frac{C}{2}} - \\frac{\\sin \\frac{A - B}{2}}{\\cos \\frac{C}{2}}.\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": 6943,
"need_tools_kwargs": true,
"question": "Let $\\Delta ABC$ be an equilateral triangle. How many squares in the same plane as $\\Delta ABC$ share two vertices with 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... | qa | {
"ground_truth": "Ross University School of Medicine",
"style": "rule"
} | {
"index": 6944,
"need_tools_kwargs": true,
"question": "What university, founded in 1978, has bases in NJ and a city in Broward County FL?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Valley Village",
"style": "rule"
} | {
"index": 6945,
"need_tools_kwargs": true,
"question": "Where did the director of film Prince Of Pirates 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": "August 12, 1946",
"style": "rule"
} | {
"index": 6946,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film The Metamorphosis Of Mr. Samsa?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6947,
"need_tools_kwargs": true,
"question": "关于 $x$ 的方程 $\\sqrt{x+11-6 \\sqrt{x+2}}+\\sqrt{x+27-10 \\sqrt{x+2}}=1$，求该方程实数根的个数。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "42",
"style": "rule"
} | {
"index": 6948,
"need_tools_kwargs": true,
"question": "Each factor \\( (13)(14)(15) \\), when expressed in base \\( b \\), equals \\( 2325 \\) in base \\( b \\). Let \\( s = 13 + 14 + 15 \\), expressed in base \\( b \\). Determine the value of \\( s \\) in base \\( 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": "Black Market Of Love",
"style": "rule"
} | {
"index": 6949,
"need_tools_kwargs": true,
"question": "Which film has the director who was born later, Tumbledown Ranch In Arizona or Black Market Of Love?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6950,
"need_tools_kwargs": true,
"question": "The results of asking 50 students if they participate in music or sports are shown in the Venn diagram. Calculate the percentage of the 50 students who do not participate in music and do not participate in 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... | qa | {
"ground_truth": "cancer",
"style": "rule"
} | {
"index": 6951,
"need_tools_kwargs": true,
"question": "What is the cause of death of director of film Road Kill (2010 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": "1904 to 1911",
"style": "rule"
} | {
"index": 6952,
"need_tools_kwargs": true,
"question": "What era (years) does the storyline of the novel, Dreamland, take place during?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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, +\\infty)",
"style": "rule"
} | {
"index": 6953,
"need_tools_kwargs": true,
"question": "Given the proposition \"There exists $x \\in \\mathbb{R}$ such that $x^{2}+2x+m \\leqslant 0$\" is a false proposition, the range of values for the real number $m$ is $\\_\\_\\_\\_\\_\\_$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "990",
"style": "rule"
} | {
"index": 6954,
"need_tools_kwargs": true,
"question": "For how many integers $n$, for $1 \\leq n \\leq 1000$, is the number $\\frac{1}{2}\\binom{2 n}{n}$ even?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "2016 Oklahoma Sooners football team",
"style": "rule"
} | {
"index": 6955,
"need_tools_kwargs": true,
"question": "What team played the 122nd season of Sooner football and played Auburn in the Sugar Bowl?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "December 8, 1978",
"style": "rule"
} | {
"index": 6956,
"need_tools_kwargs": true,
"question": "What is the birthdate of this American actor, model, and director, who played on \"Lost\" and was honored with a Genesis Award?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "November 30, 887",
"style": "rule"
} | {
"index": 6957,
"need_tools_kwargs": true,
"question": "When is Wu Hanyue's husband'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": "36",
"style": "rule"
} | {
"index": 6958,
"need_tools_kwargs": true,
"question": "If a line is perpendicular to a plane, then this line and the plane form a \"perpendicular line-plane pair\". In a cube, the number of \"perpendicular line-plane pairs\" formed by a line determined by two vertices and a plane containing four vertices is ___... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "On Dit",
"style": "rule"
} | {
"index": 6959,
"need_tools_kwargs": true,
"question": "Which magazine came out first, On Dit or Prospect (Magazine)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Patsy Stone",
"style": "rule"
} | {
"index": 6960,
"need_tools_kwargs": true,
"question": "For which role did the star of the reality tv show Girl Friday win two BAFTA Awards ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "155",
"style": "rule"
} | {
"index": 6961,
"need_tools_kwargs": true,
"question": "Xiaohong drives to a place to attend a meeting. 30 minutes after departure, due to traffic congestion, there was a delay of 25 minutes. In order to arrive at the meeting venue on time, Xiaohong increased her speed by 25%. Eventually, she arrived at the meet... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 February 2014",
"style": "rule"
} | {
"index": 6962,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Det Kære Legetøj?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Flo Rida",
"style": "rule"
} | {
"index": 6963,
"need_tools_kwargs": true,
"question": "Who released their fourth studio album on July 3, 2012, and a song from his 2012 EP on August 29, 2011?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 6964,
"need_tools_kwargs": true,
"question": "Are both high schools, Central Islip Senior High School and Wonderview High School, 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": "168",
"style": "rule"
} | {
"index": 6965,
"need_tools_kwargs": true,
"question": "A neighbor bought a certain quantity of beef at two shillings a pound, and the same quantity of sausages at eighteenpence a pound. If she had divided the same money equally between beef and sausages, she would have gained two pounds in the total weight. Det... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 6966,
"need_tools_kwargs": true,
"question": "Did Tero Saviniemi and J. M. Johnson 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": "2-6i",
"style": "rule"
} | {
"index": 6967,
"need_tools_kwargs": true,
"question": "Determine the complex number $z$ satisfying the equation $2z-3\\bar{z}=-2-30i$. Note that $\\bar{z}$ denotes the conjugate of $z$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Awake from Mourning",
"style": "rule"
} | {
"index": 6968,
"need_tools_kwargs": true,
"question": "What is the name of the documentary Ellen Kuzwayo was involved in with Betty Wolpert in 1982?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6969,
"need_tools_kwargs": true,
"question": "Let $(x - 1)^6 = a_0x^6 + a_1x^5 + \\ldots + a_6$, then $a_0 + a_2 + a_4 + a_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": "Munich Waldfriedhof",
"style": "rule"
} | {
"index": 6970,
"need_tools_kwargs": true,
"question": "Where was the place of burial of the director of film The Victory Of Faith?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 6971,
"need_tools_kwargs": true,
"question": "Are both director of film 7 Khoon Maaf and director of film Aana Valarthiya Vanampadi 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": "10",
"style": "rule"
} | {
"index": 6972,
"need_tools_kwargs": true,
"question": "A cube with a volume of 1 cubic foot is trimmed into three slices by making two cuts parallel to the top face. The first cut is located $\\frac{1}{4}$ foot from the top face, and the second cut is $\\frac{1}{6}$ foot below the first cut. The resulting piece... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "salt crystallisation",
"style": "rule"
} | {
"index": 6973,
"need_tools_kwargs": true,
"question": "What does the McMahon Services produce in Dry Creek, South 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": "90",
"style": "rule"
} | {
"index": 6974,
"need_tools_kwargs": true,
"question": "Inside an equilateral triangle \\(ABC\\), points \\(P\\) and \\(Q\\) are chosen such that \\(P\\) is inside triangle \\(AQB\\), \\(PQ = QC\\), and \\(\\angle PAQ = \\angle PBQ = 30^\\circ\\). Find \\(\\angle AQB\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Gopinath Pradhan",
"style": "rule"
} | {
"index": 6975,
"need_tools_kwargs": true,
"question": "Name the person who was appointed Vice-Chancellor of Indira Gandhi National Open University, New Delhi, in 2012.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Bryan Greenberg",
"style": "rule"
} | {
"index": 6976,
"need_tools_kwargs": true,
"question": "What How to Make It in America star also starred in a movie with Uma Thurman?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 + 3i",
"style": "rule"
} | {
"index": 6977,
"need_tools_kwargs": true,
"question": "Find the complex number $z$ such that\n\\[ |z - 2| = |z + 4| = |z - 3i|. \\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Hustle",
"style": "rule"
} | {
"index": 6978,
"need_tools_kwargs": true,
"question": "An Indian actress got her start in modelling going on to a play a featured character in a 2015 Telugu action crime film that was heavily inspired by what British series?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "B: \\frac{2}{3}",
"style": "rule"
} | {
"index": 6979,
"need_tools_kwargs": true,
"question": "If a number is randomly selected from the interval $(0, \\frac{1}{2})$, then the probability that the number is less than $\\frac{1}{3}$ is:\n\nA: $\\frac{3}{4}$\n\nB: $\\frac{2}{3}$\n\nC: $\\frac{1}{3}$\n\nD: $\\frac{1}{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": "It began in 1995 as the merger of two take-and-bake pizza companies: Papa Aldo's Pizza (founded in 1981) and Murphy's Pizza (founded in 1981).",
"style": "rule"
} | {
"index": 6980,
"need_tools_kwargs": true,
"question": "Which pizza shop was created by a company merger, Papa Murphy's or Hungry Howie's Pizza?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 St. Louis Rams season",
"style": "rule"
} | {
"index": 6981,
"need_tools_kwargs": true,
"question": "What season did the Rams finished the regular-season with a record of 13–3, and the NFC West Championship and had a offensive coordinator behind the St. Louis Rams high-powered offence of that season?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 6982,
"need_tools_kwargs": true,
"question": "The expression\n\\[a(b - c)^2 + b(c - a)^2 + c(a - b)^2\\]\ncan be factored into the form $(a - b)(b - c)(c - a) q(a,b,c)$. Find $q(a, b, c)$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "George Barraud",
"style": "rule"
} | {
"index": 6983,
"need_tools_kwargs": true,
"question": "Was Werner Pfirter or George Barraud born first?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "47",
"style": "rule"
} | {
"index": 6984,
"need_tools_kwargs": true,
"question": "Let $P(x)$ be the unique polynomial of minimal degree with the following properties: \n$P(x)$ has a leading coefficient $1$, \n$1$ is a root of $P(x)-1$, \n$2$ is a root of $P(x-2)$, \n$3$ is a root of $P(3x)$, and \n$4$ is a root of $4P(x)$. \nThe ro... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6985,
"need_tools_kwargs": true,
"question": "给定正实数 $a, b, a<b$. 设 $x_{1}, x_{2}, \\cdots, x_{2022} \\in[a, b]$,求 \n$$ \n\\frac{\\left|x_{1}-x_{2}\\right|+\\left|x_{2}-x_{3}\\right|+\\cdots+\\left|x_{2021}-x_{2022}\\right|+\\left|x_{2022}-x_{1}\\right|}{x_{1}+x_{2}+\\cdots+x_{2022}} \n$$ \n的最大值。原始答... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "-47",
"style": "rule"
} | {
"index": 6986,
"need_tools_kwargs": true,
"question": "Find the sum of all integer values of \\(a\\) belonging to the interval \\([-10, 10]\\), for each of which the inequality \\(5 \\leq x \\leq 10\\) implies the inequality \\(a x + 3a^{2} - 12a + 12 > a^{2} \\sqrt{x-1}\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "six",
"style": "rule"
} | {
"index": 6987,
"need_tools_kwargs": true,
"question": "How many decades did the career of the American actor, who starred in \"The Happy Ending,\" span?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3\\sqrt{3}",
"style": "rule"
} | {
"index": 6988,
"need_tools_kwargs": true,
"question": "The base of the quadrilateral prism $A B C D A_{1} B_{1} C_{1} D_{1}$ is a rhombus $A B C D$, where $B D=3$ and $\\angle A D C=60^{\\circ}$. A sphere passes through the vertices $D, C, B, B_{1}, A_{1}, D_{1}$.\n\na) Find the area of the circle obtained in t... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Jacques Dominique Wilkins",
"style": "rule"
} | {
"index": 6989,
"need_tools_kwargs": true,
"question": "The 1991–92 NBA season was the Hawks' 43rd season in the National Basketball Association, and 24th season in Atlanta, with a 22–20 record in late January, which American retired professional basketball player who primarily played for the Atlanta Hawks, rupt... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6990,
"need_tools_kwargs": true,
"question": "给定一个正整数 \\( n \\)，如果一个有限的正整数序列 \\( a_{1}, a_{2}, \\cdots, a_{m} \\) 满足以下条件，则称其为“n-偶数列”：\n\n- \\( n = a_{1} + a_{2} + \\cdots + a_{m} \\)；\n- 满足 \\(1 \\leqslant i < j \\leqslant m\\) 且 \\(a_{i} > a_{j}\\) 的整数对 \\((i, j)\\) 的数量是偶数。\n\n请给出当 \\( n = 4 \\) 时，满足条... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 November 1972",
"style": "rule"
} | {
"index": 6991,
"need_tools_kwargs": true,
"question": "When is Riccardo Schicchi's wife's birthday?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Robert Ludlum",
"style": "rule"
} | {
"index": 6992,
"need_tools_kwargs": true,
"question": "Who wrote a novel with a title named after a road to the city where Abbie Cornett was 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": "Avengers Assemble",
"style": "rule"
} | {
"index": 6993,
"need_tools_kwargs": true,
"question": "Which cartoon premiering on May 26, 2013 features Liam O'Brien as a voice actor.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Dulwich, south London",
"style": "rule"
} | {
"index": 6994,
"need_tools_kwargs": true,
"question": "Where was the creator of Heading Out 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": "- \\frac{4}{5}",
"style": "rule"
} | {
"index": 6995,
"need_tools_kwargs": true,
"question": "Given that $α$ is an obtuse angle, if $\\sin (α- \\frac{3π}{4})= \\frac{3}{5}$, find $\\cos (α+ \\frac{π}{4})=\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_\\_.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 6996,
"need_tools_kwargs": true,
"question": "Are director of film From Zero to I Love You and director of film The Midnight Story 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": "Archibald Douglas, 4th Earl of Douglas",
"style": "rule"
} | {
"index": 6997,
"need_tools_kwargs": true,
"question": "Thomas married Elizabeth, the widow of John Stewart, 2nd Earl of Buchan, was the daughter of which Scottish nobleman and warlord?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Chicago",
"style": "rule"
} | {
"index": 6998,
"need_tools_kwargs": true,
"question": "Where was the director of film Dopey Dicks 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": "was a silent film actor and film director",
"style": "rule"
} | {
"index": 6999,
"need_tools_kwargs": true,
"question": "What do Sergei Bondarchuk and James Cruze have in common?",
"split": "train"
} | null |
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