data_source stringclasses 1
value | prompt listlengths 2 2 | ability stringclasses 2
values | reward_model dict | extra_info dict | metadata null |
|---|---|---|---|---|---|
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\sin\\alpha = \\frac{1}{2}",
"style": "rule"
} | {
"index": 2200,
"need_tools_kwargs": true,
"question": "Given that the terminal side of angle $\\alpha$ passes through the point $(-\\sqrt{3}, 1)$, the value of $\\sin\\alpha$ is __________.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1940 through 1950",
"style": "rule"
} | {
"index": 2201,
"need_tools_kwargs": true,
"question": "In which years did the great-grandfather of the 23rd pick of the 2010 MLB draft play professional football?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "(5,7)",
"style": "rule"
} | {
"index": 2202,
"need_tools_kwargs": true,
"question": "Points with coordinates \\((1,1)\\), \\((5,1)\\) and \\((1,7)\\) are three vertices of a rectangle. What are the coordinates of the fourth vertex of the rectangle?\n(A) \\((1,5)\\) \n(B) \\((5,5)\\) \n(C) \\((5,7)\\) \n(D) \\((7,1)\\) \n(E) \\((7,5)\\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Kovilpatti",
"style": "rule"
} | {
"index": 2203,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Karuvelam Pookkal?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 September 1916",
"style": "rule"
} | {
"index": 2204,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film Law Of The Border?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "0.34",
"style": "rule"
} | {
"index": 2205,
"need_tools_kwargs": true,
"question": "\nThere are two urns containing balls of three colors. The first urn contains 2 blue, 3 red, and 5 green balls, while the second urn contains 4 blue, 2 red, and 4 green balls. One ball is drawn from each urn, and their colors are compared. Find the probability that the colors of the drawn balls are the same (event $A$).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"index": 2206,
"need_tools_kwargs": true,
"question": "Given the sequence \\(\\{a_{n}\\}\\) that satisfies \\(3a_{n+1} + a_{n} = 4 \\ (n \\geq 1)\\) and \\(a_1 = 9\\), and whose sum of the first \\(n\\) terms is \\(S_{n}\\), find the smallest integer \\(n\\) that satisfies the inequality \\(\\left|S_{n} - n - 6\\right| < \\frac{1}{125}\\).\nA. 5\nB. 6\nC. 7\nD. 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": "Chalermwoot Sa-ngapol",
"style": "rule"
} | {
"index": 2207,
"need_tools_kwargs": true,
"question": "What is the name of the Thai footballer who has been described as the Thai version of the first team coach at Queens Park Rangers?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Hollywood",
"style": "rule"
} | {
"index": 2208,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Kiss Of Araby?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2394",
"style": "rule"
} | {
"index": 2209,
"need_tools_kwargs": true,
"question": "Compute $\\sum_{k=1}^{2009} k\\left(\\left\\lfloor\\frac{2009}{k}\\right\\rfloor-\\left\\lfloor\\frac{2008}{k}\\right\\rfloor\\right)$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Rod Blackhurst and Brian McGinn",
"style": "rule"
} | {
"index": 2210,
"need_tools_kwargs": true,
"question": "Who directed the film that was based on a murder for which Raffaele Sollecito was charged?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{5184}{119}\\pi",
"style": "rule"
} | {
"index": 2211,
"need_tools_kwargs": true,
"question": "A circle is circumscribed about an isosceles triangle with two sides each of $12$ units and a base of $10$ units. What is the area of the circle, in square units? Express your answer in terms of $\\pi$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Det Store Løb",
"style": "rule"
} | {
"index": 2212,
"need_tools_kwargs": true,
"question": "Which film has the director died later, The Island Of Desire or Det Store Løb?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2213,
"need_tools_kwargs": true,
"question": "给定正整数 n. 设 x_0,x_1,\\cdots,x_n 是非负实数，满足对 0\\leq i\\leq n-2，有 x_i+x_{i+1}+x_{i+2}\\leq 1. 求 \\ds{i=0}{n}\\text{C}_n^ix_i 的最大值。答案的形式为\\left[\\df{k^n}{m}\\right]，请给出k+m的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1782",
"style": "rule"
} | {
"index": 2214,
"need_tools_kwargs": true,
"question": "A sequence of numbers is arranged in the following pattern: \\(1, 2, 3, 2, 3, 4, 3, 4, 5, 4, 5, 6, \\cdots\\). Starting from the first number on the left, find the sum of the first 99 numbers.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "D: 6",
"style": "rule"
} | {
"index": 2215,
"need_tools_kwargs": true,
"question": "Given that $λ= \\int_{ 0 }^{ 3 }x^{2}dx$, and the sequence ${a\\_n}$ is a geometric sequence with all positive terms, find the minimum value of $\\frac {a\\_4+λa\\_2}{a\\_3}$.\nA: $2 \\sqrt {3}$\nB: $2$\nC: $6 \\sqrt {3}$\nD: $6$",
"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": "Verla Eileen Brennan",
"style": "rule"
} | {
"index": 2216,
"need_tools_kwargs": true,
"question": "Which star of A New Kind of Family received a BAFTA award nomination for Best Supporting Actress?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"index": 2217,
"need_tools_kwargs": true,
"question": "He puts them into three boxes, a red one, a white one, and a blue one, so that each box contains at least one card. A member of the audience draws two cards from two different boxes and announces the sum of numbers on those cards. Given this information, the magician locates the box from which no card has been drawn. How many ways are there to put the cards in the three boxes so that the trick works?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Kannur",
"style": "rule"
} | {
"index": 2218,
"need_tools_kwargs": true,
"question": "Where was the composer of film Ivan Oru Simham 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": "July 6, 2002",
"style": "rule"
} | {
"index": 2219,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Fixer (1968 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 King of Hollywood\"",
"style": "rule"
} | {
"index": 2220,
"need_tools_kwargs": true,
"question": "What was the nickname of Judy Lewis's father?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"index": 2221,
"need_tools_kwargs": true,
"question": "The function $g(x)$ satisfies the equation\n\\[xg(y) = 2yg(x)\\] for all real numbers $x$ and $y$. If $g(10) = 30$, find $g(2)$.",
"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": "6",
"style": "rule"
} | {
"index": 2222,
"need_tools_kwargs": true,
"question": "All diagonals of a convex pentagon are drawn, dividing it into one smaller pentagon and $10$ triangles. Find the maximum number of triangles with the same area that may exist in the division.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "x^4-6x^3+8x^2+4x-4",
"style": "rule"
} | {
"index": 2223,
"need_tools_kwargs": true,
"question": "Find a monic quartic polynomial, in $x,$ with rational coefficients such that $2+\\sqrt{2}$ and $1-\\sqrt{3}$ are roots of the polynomial.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Didi Conn",
"style": "rule"
} | {
"index": 2224,
"need_tools_kwargs": true,
"question": "Who is the spouse of the composer of song It Goes Like It Goes?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2225,
"need_tools_kwargs": true,
"question": "The height of a truncated cone is equal to the radius of its base. The perimeter of a regular hexagon circumscribing its top is equal to the perimeter of an equilateral triangle inscribed in its base. Find the angle $\\varphi$ between the cone's generating line and its base. Please provide the value of the parameter used in the arctan function, given that the original answer is in the format $\\varphi=\\arctan x$.Write down the value of $x$.",
"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": "1",
"style": "rule"
} | {
"index": 2226,
"need_tools_kwargs": true,
"question": "Let $n > 3$ be an integer. If $x_1 < x_2 < \\ldots < x_{n+2}$ are real numbers with $x_1 = 0$, $x_2 = 1$, and $x_3 > 2$, what is the maximal value of\n\\[\n\\left( \\frac{x_{n+1} + x_{n+2} - 1}{x_{n+1}(x_{n+2} - 1)} \\right) \\cdot \\left( \\sum_{i=1}^{n} \\frac{(x_{i+2} - x_{i+1})(x_{i+1} - x_i)}{x_{i+2} - x_i} \\right)?\n\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Kingsburg",
"style": "rule"
} | {
"index": 2227,
"need_tools_kwargs": true,
"question": "What California city is the headquarters of the company that Lorraine Collett modeled for located in?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 2228,
"need_tools_kwargs": true,
"question": "Are both Nangmagvik Lake and Marion Lake (Dakota County, Minnesota) 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": "New York",
"style": "rule"
} | {
"index": 2229,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Vinyl (1965 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": "138",
"style": "rule"
} | {
"index": 2230,
"need_tools_kwargs": true,
"question": "On Wednesday, 37 students played kickball in the morning while 15 more students joined to play in the afternoon. On Thursday, 9 fewer students played kickball in the morning than the previous day, and 7 students left during lunchtime before the afternoon game started. How many students played kickball in total on Wednesday and Thursday across the morning and afternoon games?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "120,000",
"style": "rule"
} | {
"index": 2231,
"need_tools_kwargs": true,
"question": "The Pathfinder Badge is awarded to soldiers who successfully complete pathfinder school at a United States Army base that supports more than how many people on a daily basis?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "June 19, 2019",
"style": "rule"
} | {
"index": 2232,
"need_tools_kwargs": true,
"question": "On what day, month, and year did the man who came up with the idea of the iPhone, Jean-Marie Hullot, 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": "St Kilda Road",
"style": "rule"
} | {
"index": 2233,
"need_tools_kwargs": true,
"question": "Kings Domain surrounds the reserve that incorporates the memorial located in what part of Melbourne?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "purpose of holding a competition",
"style": "rule"
} | {
"index": 2234,
"need_tools_kwargs": true,
"question": "How is the National Geographic Bee considered Communal work?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2235,
"need_tools_kwargs": true,
"question": "Given that one air conditioner sells for a 10% profit and the other for a 10% loss, and the two air conditioners have the same selling price, determine the percentage change in the shopping mall's overall revenue.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 2236,
"need_tools_kwargs": true,
"question": "Does the Yahoo News article praise the Biden administration's effectiveness on climate issues, while the Engadget article suggests that society is being positively impacted by the interconnectedness of climate change, the modern internet, and authoritarianism?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "František \"Frank\" Daniel",
"style": "rule"
} | {
"index": 2237,
"need_tools_kwargs": true,
"question": "Who has more scope of profession, Noel M. Smith or Frank Daniel?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "32",
"style": "rule"
} | {
"index": 2238,
"need_tools_kwargs": true,
"question": "Triangle $ABC$ has side lengths $AB=4$, $BC=5$, and $CA=6$. Points $D$ and $E$ are on ray $AB$ with $AB<AD<AE$. The point $F \\neq C$ is a point of intersection of the circumcircles of $\\triangle ACD$ and $\\triangle EBC$ satisfying $DF=2$ and $EF=7$. Then $BE$ can be expressed as $\\tfrac{a+b\\sqrt{c}}{d}$, where $a$, $b$, $c$, and $d$ are positive integers such that $a$ and $d$ are relatively prime, and $c$ is not divisible by the square of any prime. Find $a+b+c+d$.\n",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0",
"style": "rule"
} | {
"index": 2239,
"need_tools_kwargs": true,
"question": "Determine the equation of the line that passes through the point \\((3, 4)\\) and one of the trisection points of the line segment joining the points \\((-4, 5)\\) and \\((5, -1)\\). First, find the trisection points of the segment, and then identify the equation of the line that meets the specified criteria.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Winter Hill Gang",
"style": "rule"
} | {
"index": 2240,
"need_tools_kwargs": true,
"question": "Louis Litif was murdered after running afoul of a mob boss who led what organization?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "54",
"style": "rule"
} | {
"index": 2241,
"need_tools_kwargs": true,
"question": "Twelve participants are taking part in a chess tournament. After the tournament, each participant makes 12 lists as follows: \n- In the 1st list, each participant writes down only their own name.\n- In the 2nd list, each participant writes down their own name and the names of all the opponents they defeated.\n- In the 3rd list, each participant writes down all the names from their 2nd list as well as the names of all the opponents defeated by anyone in the 2nd list.\n- This process continues until the 12th list, where each participant writes down all the names from their 11th list and the names of all the opponents defeated by anyone in the 11th list.\n\nIt is known that for each participant, their 12th list contains names that did not appear in their 11th list. How many draws were there in the tournament?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 2242,
"need_tools_kwargs": true,
"question": "Are both Alexander Baljakin and Callum Smith (Skier) 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": "1 May 1954",
"style": "rule"
} | {
"index": 2243,
"need_tools_kwargs": true,
"question": "Tetsu was conceived by a chef born on which day ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 2244,
"need_tools_kwargs": true,
"question": "For how many integer $n$, $P = n^4 + 4n^3 + 3n^2 - 2n + 7$ is prime?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "41236",
"style": "rule"
} | {
"index": 2245,
"need_tools_kwargs": true,
"question": "Three integers form a geometric progression. If 8 is added to the second number, an arithmetic progression is formed. If 64 is added to the third term of this arithmetic progression, a geometric progression is formed again. What are the original numbers?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Byron Howard and Rich Moore",
"style": "rule"
} | {
"index": 2246,
"need_tools_kwargs": true,
"question": "Who directed a 2016 American 3D computer-animated comedy-adventure film produced by Walt Disney Animation Studios , that had an american film director best known as the writer and director of the 2013 Disney animated feature \"Frozen\" redited for story contributions to \"Zootopia\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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, -8, 0)",
"style": "rule"
} | {
"index": 2247,
"need_tools_kwargs": true,
"question": "Given the vectors \\( \\bar{a}\\{3 ;-4 ; 5\\} \\) and \\( \\bar{b}\\{-1 ; 0 ;-2\\} \\), find the coordinates of the vector \\( \\bar{c}=2 \\bar{a}+5 \\bar{b} \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "The Scarlet West",
"style": "rule"
} | {
"index": 2248,
"need_tools_kwargs": true,
"question": "Which film was released earlier, The Scarlet West or Stoned (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": "Paris",
"style": "rule"
} | {
"index": 2249,
"need_tools_kwargs": true,
"question": "Where was the director of film Mademoiselle Has Fun 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": "1929",
"style": "rule"
} | {
"index": 2250,
"need_tools_kwargs": true,
"question": "What year was the man who wrote the music score for A Long Day's Journey into Night 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": 2251,
"need_tools_kwargs": true,
"question": "Were both Nathan Leites and Mikhail Of Vladimir, born in the same place?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-1",
"style": "rule"
} | {
"index": 2252,
"need_tools_kwargs": true,
"question": "Given the functions \\( f(x) = 2^x - 1 \\) and \\( g(x) = 1 - x^2 \\), a function \\( F(x) \\) is defined as follows: When \\( |f(x)| \\geq g(x) \\), \\( F(x) = |f(x)| \\); When \\( |f(x)| < g(x) \\), \\( F(x) = -g(x) \\). Analyze the behavior of \\( F(x) \\) to determine its minimum and maximum values.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "495",
"style": "rule"
} | {
"index": 2253,
"need_tools_kwargs": true,
"question": "At a conference of 40 people, there are 25 individuals who each know each other, but among them, 5 people do not know 3 specific individuals in their group. The remaining 15 people do not know anyone at the conference. If people who know each other hug and people who do not know each other shake hands, calculate the total number of handshakes that occur within this group.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "John Gustav Adolfi",
"style": "rule"
} | {
"index": 2254,
"need_tools_kwargs": true,
"question": "Among David Bowers and John G. Adolfiwho was an American silent film director?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "September 19, 1968",
"style": "rule"
} | {
"index": 2255,
"need_tools_kwargs": true,
"question": "What is the date of death of the performer of song Birmingham Bounce?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "9930",
"style": "rule"
} | {
"index": 2256,
"need_tools_kwargs": true,
"question": "(The full score for this question is 10 points) According to Ningde Network reports: The successful hosting of the third Cross-Strait Tea Industry Expo in Ningde City has enhanced the domestic and international reputation and market competitiveness of tea from Eastern Fujian. This year, the price per kilogram of fresh tea leaves (just picked) is 10 times that of the same period last year. Tea farmer Ye Liangliang's tea trees were affected by frost this year, resulting in a first-quarter fresh tea leaf yield of 198.6 kilograms, which is 87.4 kilograms less than the same period last year. However, his sales revenue increased by 8500 yuan compared to the same period last year. What is the sales revenue of Ye Liangliang's fresh tea leaves in the first quarter of this 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": "Barbora Hlavsová",
"style": "rule"
} | {
"index": 2257,
"need_tools_kwargs": true,
"question": "Which film has the director who is older than the other, Barbora Hlavsová or In the Army Now (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": "no",
"style": "rule"
} | {
"index": 2258,
"need_tools_kwargs": true,
"question": "Are director of film Borrowed Trouble and director of film Bhoogolam Thiriyunnu 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": "American",
"style": "rule"
} | {
"index": 2259,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song When You'Re An Addams?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2260,
"need_tools_kwargs": true,
"question": "How many four digit perfect square numbers are there in the form $AABB$ where $A,B \\in \\{1,2,\\dots, 9\\}$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 2261,
"need_tools_kwargs": true,
"question": "Did the bands Grey Daturas and E-Rotic, originate from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"index": 2262,
"need_tools_kwargs": true,
"question": "Let $\\triangle DEF$ be an isosceles triangle with $DE = DF$. Three circles are defined as follows: the circle $\\Omega$ with its center at the centroid of $\\triangle DEF$, and two circles $\\Omega_1$ and $\\Omega_2$, where $\\Omega_1$ is tangent to $\\overline{EF}$ and externally tangent to the other sides extended, while $\\Omega_2$ is tangent to $\\overline{DE}$ and $\\overline{DF}$ while internally tangent to $\\Omega$. Determine the smallest integer value for the perimeter of $\\triangle DEF$ if $EF$ is the smallest integer side, and $\\Omega_1$ and $\\Omega_2$ intersect only once.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "15",
"style": "rule"
} | {
"index": 2263,
"need_tools_kwargs": true,
"question": "In rectangle \\(ABCD\\), \\(\\overline{AB}=30\\) and \\(\\overline{BC}=15\\). Let \\(E\\) be a point on \\(\\overline{CD}\\) such that \\(\\angle CBE=45^\\circ\\) and \\(\\triangle ABE\\) is isosceles. Find \\(\\overline{AE}.\\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{10}{21}",
"style": "rule"
} | {
"index": 2264,
"need_tools_kwargs": true,
"question": "Let the matrix \\[\\mathbf{N} = \\begin{pmatrix} x & 2y & 2z \\\\ 2x & 3y & z \\\\ 3x & y & 2z \\end{pmatrix}.\\] Determine the values for $x$, $y$, and $z$ such that \\(\\mathbf{N}^T \\mathbf{N} = 3\\mathbf{I}.\\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "216",
"style": "rule"
} | {
"index": 2265,
"need_tools_kwargs": true,
"question": "Each side of triangle \\(ABC\\) is divided into 8 equal segments. How many different triangles with vertices at the division points (points \\(A, B, C\\) cannot be the vertices of these triangles) exist such that none of their sides is parallel to any side of triangle \\(ABC\\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Pretty Hate Machine",
"style": "rule"
} | {
"index": 2266,
"need_tools_kwargs": true,
"question": "Fixed is the companion remix disc to an EP that followed what studio 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": " \\{a, b, c\\} = \\{2, 5, 3\\} ",
"style": "rule"
} | {
"index": 2267,
"need_tools_kwargs": true,
"question": "A box whose shape is a parallelepiped can be completely filled with cubes of side $1.$ If we put in it the maximum possible number of cubes, each of volume $2$ , with the sides parallel to those of the box, then exactly $40$ percent of the volume of the box is occupied. Determine the possible dimensions of the box.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "p + \\max\\{p, q\\}",
"style": "rule"
} | {
"index": 2268,
"need_tools_kwargs": true,
"question": "Let \\( p \\) and \\( q \\) be relatively prime positive integers. A set of \\( p+q \\) real numbers \\( S = \\{a_1, a_2, \\dots, a_{p+q}\\} \\) \\((a_1 < a_2 < \\dots < a_{p+q})\\) is called balanced if \\( a_1, a_2, \\dots, a_p \\) form an arithmetic sequence with a common difference of \\( q \\), and \\( a_p, a_{p+1}, \\dots, a_{p+q} \\) form an arithmetic sequence with a common difference of \\( p \\). Given \\( k \\) balanced sets each with \\( p+q \\) elements such that the intersection of any two of them is non-empty, find the maximum possible 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{2}{25} - \\frac{14}{25}i",
"style": "rule"
} | {
"index": 2269,
"need_tools_kwargs": true,
"question": "Simplify $\\displaystyle\\frac{2+2i}{-3+4i}$. Express your answer as a complex number in the form $a+bi$, where $a$ and $b$ are real numbers.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Scottsdale, Arizona",
"style": "rule"
} | {
"index": 2270,
"need_tools_kwargs": true,
"question": "In which city is this game company that released Famous Game Designers Playing Card Deck in 2011 that featured Don Greenwood as the king of spades?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{45 - 3p}{2}",
"style": "rule"
} | {
"index": 2271,
"need_tools_kwargs": true,
"question": "Determine an expression for the area of $\\triangle QCA$ in terms of $p$. Your answer should be simplified as much as possible. [asy]\nsize(5cm);defaultpen(fontsize(9));\npair o = (0, 0); pair q = (0, 15); pair b = (15, 0);\npair a = (3, 15); pair t = (3, 0); pair c = (0, 10);\n\ndraw((-2, 0)--(18, 0), Arrow);\ndraw((0, -2)--(0, 18), Arrow);\ndraw(q--a--b);\ndraw(a--c--b);\n\nlabel(\"$Q(0, 15)$\", q, W);\nlabel(\"$A(3, 15)$\", a, NE);\nlabel(\"$B(15, 0)$\", b, S);\nlabel(\"$O(0, 0)$\", o, SW);\nlabel(\"$x$\", (18, 0), E);\nlabel(\"$y$\", (0, 18), N);\nlabel(\"$C(0, p)$\", c, W);\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": "Big Brother",
"style": "rule"
} | {
"index": 2272,
"need_tools_kwargs": true,
"question": "Five Minutes to a Fortune in 2013 was hosted by a presenter who also presented what show during its run on Channel 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": "American",
"style": "rule"
} | {
"index": 2273,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Tracks (2013 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": "Dylann Storm Roof",
"style": "rule"
} | {
"index": 2274,
"need_tools_kwargs": true,
"question": "Racists Anonymous had a first meeting after the murder perpetrated by which white supremacist?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "40\\%",
"style": "rule"
} | {
"index": 2275,
"need_tools_kwargs": true,
"question": "A church has 120 members. Some percentage are adults. The rest are children. There are 24 more children than adults. What percentage of the church members are adults?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2276,
"need_tools_kwargs": true,
"question": "The expression $x^2 + 20x + 75$ can be written as $(x + d)(x + e),$ and the expression $x^2 - 22x + 120$ can be written as $(x - e)(x - f)$, where $d$, $e$, and $f$ are integers. What is the value of $d + e + f$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Brazil",
"style": "rule"
} | {
"index": 2277,
"need_tools_kwargs": true,
"question": "In which country is the belief championed by William Eglinton mainly focuses on reincarnation?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2278,
"need_tools_kwargs": true,
"question": "Let $x$ and $y$ be variables that satisfy the following constraints:\n\\begin{cases}\n\\begin{matrix}\nx - 1 \\geqslant 0 \\\\\nx - y \\geqslant 0\n\\end{matrix} \\\\\nx + y - 4 \\leqslant 0\n\\end{cases}\nFind the maximum value of $\\frac{y}{x}$.",
"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": "February 9, 1947",
"style": "rule"
} | {
"index": 2279,
"need_tools_kwargs": true,
"question": "When was the writer of \"The Hunt: Me and the War Criminals\" 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": "2\\sqrt{21}",
"style": "rule"
} | {
"index": 2280,
"need_tools_kwargs": true,
"question": "A triangular wire frame with side lengths of $13, 14, 15$ is fitted over a sphere with a radius of 10. Find the distance between the plane containing the triangle and the center of the sphere.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "54\\sqrt{3}\\pi",
"style": "rule"
} | {
"index": 2281,
"need_tools_kwargs": true,
"question": "Given a sphere $O$ with a radius of $9$, and the center of the sphere is $O$. The section of the sphere $O$ cut by a certain plane is circle $M$. The maximum volume of a cone with circle $M$ as the base and $O$ as the vertex 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": "a\\_n = -2^{n-1}",
"style": "rule"
} | {
"index": 2282,
"need_tools_kwargs": true,
"question": "If the sum of the first $n$ terms of a sequence ${a\\_n}$ is represented by $S\\_n$, and $S\\_n$ is given by the formula $S\\_n = 2a\\_n + 1$, find the expression for $a\\_n$.",
"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": "-\\frac{1}{14}",
"style": "rule"
} | {
"index": 2283,
"need_tools_kwargs": true,
"question": "Considering \\(x\\) and \\(y\\) as real numbers, solve the equation:\n\n$$\n(-5 + 2i)x - (3 - 4i)y = 2 - i\n$$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Cabell \"Cab\" Calloway III",
"style": "rule"
} | {
"index": 2284,
"need_tools_kwargs": true,
"question": "Tom Merriman arranged and/or produced music for which singer strongly associated with the Cotton 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": "25",
"style": "rule"
} | {
"index": 2285,
"need_tools_kwargs": true,
"question": "A volleyball team played six matches, scoring 2, 3, 5, 7, 11, and 13 points. They lost by two points in exactly three matches. In each of the other matches, they scored three times as many points as their opponent. Calculate the total points scored by their opponents.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1200",
"style": "rule"
} | {
"index": 2286,
"need_tools_kwargs": true,
"question": "When purchasing goods with a total amount of at least 1000 rubles, the store provides a 50% discount on subsequent purchases. With 1200 rubles in her pocket, Dasha wanted to buy 4 kg of strawberries and 6 kg of sugar. In the store, strawberries were sold at a price of 300 rubles per kg, and sugar at a price of 30 rubles per kg. Realizing that she did not have enough money for the purchase, Dasha still managed to buy everything she planned. How did she do that?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 2287,
"need_tools_kwargs": true,
"question": "Are the bands Blanche (band) and Deee-Lite, 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": "National Football League Draft",
"style": "rule"
} | {
"index": 2288,
"need_tools_kwargs": true,
"question": "What pro sports draft consists of seven rounds in which it's 2011 draft was held in Radio City Music Hall?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Ribeirão Preto",
"style": "rule"
} | {
"index": 2289,
"need_tools_kwargs": true,
"question": "Where was the director of film Perfume De Gardênia 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": "11",
"style": "rule"
} | {
"index": 2290,
"need_tools_kwargs": true,
"question": "Given unique integers \\( b_{2}, b_{3}, b_{4}, b_{5}, b_{6}, b_{7} \\) such that:\n\\[\n\\frac {6}{7} = \\frac {b_{2}}{2!} + \\frac {b_{3}}{3!} + \\frac {b_{4}}{4!} + \\frac {b_{5}}{5!} + \\frac {b_{6}}{6!} + \\frac {b_{7}}{7!}\n\\]\nwhere \\( 0 \\leq b_i < i \\) for \\( i = 2, 3, 4, 5, 6 \\), and \\( 0 \\leq b_7 < 8 \\). Determine the sum \\( b_{2} + b_{3} + b_{4} + b_{5} + b_{6} + b_{7} \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\sqrt{4k^2 + 12k + 18}",
"style": "rule"
} | {
"index": 2291,
"need_tools_kwargs": true,
"question": "A particle moves so that its position at time $t$ is given by $(t^2 + 2t + 7, 3t - 13)$. Find the speed of the particle, measured in units of distance per unit of time.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 2292,
"need_tools_kwargs": true,
"question": "A certain bookstore currently has $7700$ yuan in funds, planning to use all of it to purchase a total of $20$ sets of three types of books, A, B, and C. Among them, type A books cost $500$ yuan per set, type B books cost $400$ yuan per set, and type C books cost $250$ yuan per set. The bookstore sets the selling prices of type A, B, and C books at $550$ yuan per set, $430$ yuan per set, and $310$ yuan per set, respectively. Let $x$ represent the number of type A books purchased by the bookstore and $y$ represent the number of type B books purchased. Answer the following questions:<br/>$(1)$ Find the functional relationship between $y$ and $x$ (do not need to specify the range of the independent variable);<br/>$(2)$ If the bookstore purchases at least one set each of type A and type B books, how many purchasing plans are possible?<br/>$(3)$ Under the conditions of $(1)$ and $(2)$, based on market research, the bookstore decides to adjust the selling prices of the three types of books as follows: the selling price of type A books remains unchanged, the selling price of type B books is increased by $a$ yuan (where $a$ is a positive integer), and the selling price of type C books is decreased by $a$ yuan. After selling all three types of books, the profit obtained is $20$ yuan more than the profit from one of the plans in $(2)$. Write down directly which plan the bookstore followed and the value of $a$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "March 27, 1884",
"style": "rule"
} | {
"index": 2293,
"need_tools_kwargs": true,
"question": "When was the director of film The Valley Of The Giants (1919 Film) 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": "Lisa",
"style": "rule"
} | {
"index": 2294,
"need_tools_kwargs": true,
"question": "In the twelfth season of \"The Simpsons\" who represented an American pioneer nurseryman who introduced apple trees to large parts of Pennsylvania, Ontario, Ohio, Indiana, and Illinois, as well as the northern counties of present-day West Virginia?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{65}",
"style": "rule"
} | {
"index": 2295,
"need_tools_kwargs": true,
"question": "Given $f(x)=\\cos x+\\cos (x+ \\frac {π}{2}).$\n(1) Find $f( \\frac {π}{12})$;\n(2) Suppose $α$ and $β∈(- \\frac {π}{2},0)$, $f(α+ \\frac {3π}{4})=- \\frac {3 \\sqrt {2}}{5}$, $f( \\frac {π}{4}-β)=- \\frac {5 \\sqrt {2}}{13}$, find $\\cos (α+β)$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Doug TenNapel",
"style": "rule"
} | {
"index": 2296,
"need_tools_kwargs": true,
"question": "Wayne Knight plays Mr. Blik in a tv series created 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": "the 10-metre platform event",
"style": "rule"
} | {
"index": 2297,
"need_tools_kwargs": true,
"question": "Daniel Goodfellow's 2016 Olympic partner specialises in what?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "29 April 1946",
"style": "rule"
} | {
"index": 2298,
"need_tools_kwargs": true,
"question": "When is the creator of Masterchef '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": "Gem",
"style": "rule"
} | {
"index": 2299,
"need_tools_kwargs": true,
"question": "The first woman to independently create a network series for Cartoon Network is what type of fictional alien being?",
"split": "train"
} | null |
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