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": "seventh",
"style": "rule"
} | {
"index": 4300,
"need_tools_kwargs": true,
"question": "The 1979–80 Phoenix Suns season was the 12th season for the Phoenix Suns of the National Basketball Association, the Suns were led by head coach John MacLeod, an American, his which number season with the team?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 4301,
"need_tools_kwargs": true,
"question": "Are the movies The Untamed (1920 Film) and Joe Gould'S Secret (Film), from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "46",
"style": "rule"
} | {
"index": 4302,
"need_tools_kwargs": true,
"question": "已知 x_1,x_2,\\cdots,x_{60}\\in[-1,1]，求 \\ds{i=1}{60}x_i^3(x_{i-1}-x_{i+1}) 的最大值和最小值，其中 x_0=x_{60}, x_{61}=x_1. 已知最大值的答案形式为\\frac{k\\sqrt{m}}{n}，最小值的答案形式为-\\frac{k\\sqrt{m}}{n}，请给出k + m + n的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 4303,
"need_tools_kwargs": true,
"question": "In triangle $ABC$ , $D$ is a point on $AB$ between $A$ and $B$ , $E$ is a point on $AC$ between $A$ and $C$ , and $F$ is a point on $BC$ between $B$ and $C$ such that $AF$ , $BE$ , and $CD$ all meet inside $\\triangle ABC$ at a point $G$ . Given that the area of $\\triangle ABC$ is $15$ , the area of $\\triangle ABE$ is $5$ , and the area of $\\triangle ACD$ is $10$ , compute the area of $\\triangle ABF$ .",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Shirley Schmidt",
"style": "rule"
} | {
"index": 4304,
"need_tools_kwargs": true,
"question": "The female star of A Night Full of Rain played what role on Boston Legal?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "45",
"style": "rule"
} | {
"index": 4305,
"need_tools_kwargs": true,
"question": "设单位向量 \\overrightarrow{a},\\overrightarrow{b},\\overrightarrow{c} 满足 \\overrightarrow{a}\\cdot\\overrightarrow{b}=\\frac{1}{3}, \\overrightarrow{b}\\cdot\\overrightarrow{c}=\\frac{1}{4}. 若 \\overrightarrow{a}\\cdot\\overrightarrow{c} 的答案形式为 \\frac{k\\pm m\\sqrt{n}}{p}，请计算 k + m + n + p 的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Bambi: Eine Lebensgeschichte aus dem Walde",
"style": "rule"
} | {
"index": 4306,
"need_tools_kwargs": true,
"question": "What did Felix Salten originally title his most famous 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": "10",
"style": "rule"
} | {
"index": 4307,
"need_tools_kwargs": true,
"question": "There are 14 different movies and 15 different books in the 'crazy silly school' series. If you read 11 of the books and watched some of the movies, there are 1 more book than movie in the 'crazy silly school' series. How many movies did you watch?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 November 1632",
"style": "rule"
} | {
"index": 4308,
"need_tools_kwargs": true,
"question": "When did Elizabeth Stuart, Queen Of Bohemia's husband die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{1}{72}",
"style": "rule"
} | {
"index": 4309,
"need_tools_kwargs": true,
"question": "Compute\n\\[\\frac{5}{3^2 \\cdot 7^2} + \\frac{9}{7^2 \\cdot 11^2} + \\frac{13}{11^2 \\cdot 15^2} + \\dotsb.\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 and white striped coats",
"style": "rule"
} | {
"index": 4310,
"need_tools_kwargs": true,
"question": "What is the distinctive characteristic of this African equid featured in Pearls Before Swine?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "60",
"style": "rule"
} | {
"index": 4311,
"need_tools_kwargs": true,
"question": "What is the smallest possible value of the sum of four different odd prime numbers greater than 3, such that the sum is divisible by 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... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"index": 4312,
"need_tools_kwargs": true,
"question": "What is the maximum integer number of liters of water that can be heated to boiling temperature using the heat obtained from burning solid fuel, if during the first 5 minutes of burning the fuel produces 480 kJ, and during each subsequent five-minute period $25\\%$ less than during the previous one. The initial temperature of the water is $20^{\\circ} \\mathrm{C}$, the boiling temperature is $100^{\\circ} \\mathrm{C}$, and the specific heat capacity of water is 4.2 kJ.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Teahouse Of The Ten Lotus Flowers",
"style": "rule"
} | {
"index": 4313,
"need_tools_kwargs": true,
"question": "Which film has the director died earlier, The Teahouse Of The Ten Lotus Flowers or Doppelgänger (1969 Film)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"index": 4314,
"need_tools_kwargs": true,
"question": "Find the minimum value of \\[\\dfrac{(x+1/x)^6-(x^6+1/x^6)-2}{(x+1/x)^3+(x^3+1/x^3)}\\] for $x>0$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"index": 4315,
"need_tools_kwargs": true,
"question": "若a、b、c成等差数列，则直线$ax+by+c=0$被椭圆$\\frac{x^2}{2}+\\frac{y^2}{8}=1$截得线段的中点的轨迹方程为 $k(x - \\frac{1}{2})^2 + \\frac{(y + m)^2}{n} = p$。请计算k + m + n + p的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 4316,
"need_tools_kwargs": true,
"question": "Consider all possible partitions of an 8 by 8 chessboard into dominoes, each consisting of two adjacent cells. Determine the maximum natural number \\( n \\) such that for any partition of the 8 by 8 board into dominoes, one can find a certain rectangle composed of \\( n \\) cells of the board that does not contain any whole domino. The side lengths of the rectangle in cells can be any natural numbers starting from one.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "5,150,072",
"style": "rule"
} | {
"index": 4317,
"need_tools_kwargs": true,
"question": "IIbank is located in a city with how many people in its province?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4318,
"need_tools_kwargs": true,
"question": "It is given that $2^{333}$ is a 101-digit number whose first digit is 1. How many of the numbers $2^k$, where $1 \\leq k \\leq 332$, have the first digit as 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... | math | {
"ground_truth": "9900",
"style": "rule"
} | {
"index": 4319,
"need_tools_kwargs": true,
"question": "Given a set \\( \\mathrm{S} = \\{1, 2, 3, \\ldots, 199, 200\\} \\), a subset \\(\\mathrm{A} = \\{a, b, c\\}\\) of \\(\\mathrm{S}\\) is said to be \"nice\" if \\( a + c = 2b \\). How many \"nice\" subsets does \\(\\mathrm{S}\\) have? (Note: The order of the elements inside the set does not matter. For example, we consider \\(\\{a, b, c\\}\\) or \\(\\{a, c, b\\}\\) or \\(\\{c, b, a\\}\\) to be the same set.)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "18 September 1786",
"style": "rule"
} | {
"index": 4320,
"need_tools_kwargs": true,
"question": "When was the man that Niels Andreas Vibe served as chamberlain for 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": "1800",
"style": "rule"
} | {
"index": 4321,
"need_tools_kwargs": true,
"question": "Let's call a natural number \"remarkable\" if all of its digits are different, it does not start with the digit 2, and by removing some of its digits, the number 2018 can be obtained. How many different seven-digit \"remarkable\" numbers exist?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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, -4)",
"style": "rule"
} | {
"index": 4322,
"need_tools_kwargs": true,
"question": "Find the ordered pair $(c,d)$ of real numbers such that the cubic polynomials $x^3 + cx^2 + 15x + 10 = 0$ and $x^3 + dx^2 + 17x + 12 = 0$ have a common root.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "A Yank In Korea",
"style": "rule"
} | {
"index": 4323,
"need_tools_kwargs": true,
"question": "Which film has the director born later, A Yank In Korea or The Tunnel (1933 French-Language 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": "1.5",
"style": "rule"
} | {
"index": 4324,
"need_tools_kwargs": true,
"question": "Let \\( T \\) be a right triangle with sides having lengths 3, 4, and 5. A point \\( P \\) is called awesome if \\( P \\) is the center of a parallelogram whose vertices all lie on the boundary of \\( T \\). What is the area of the set of awesome points?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4\\sqrt{13}",
"style": "rule"
} | {
"index": 4325,
"need_tools_kwargs": true,
"question": "The graph of an equation \\[\\sqrt{(x-3)^2 + (y+4)^2} + \\sqrt{(x+5)^2 + (y-8)^2} = 20.\\]is an ellipse. What is the distance between its foci?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "6 March 1917",
"style": "rule"
} | {
"index": 4326,
"need_tools_kwargs": true,
"question": "When is the composer of film Sri Tirupati Venkateswara Kalyanam '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": "5",
"style": "rule"
} | {
"index": 4327,
"need_tools_kwargs": true,
"question": "在四棱锥 $P-A B C D$ 中, $B_{1}, D_{1}$ 分别为侧棱 $P B, P D$ 的中点。求四面体 $A B_{1} C D_{1}$ 的体积与四棱锥 $P-A B C D$ 的体积之比。假设比值的形式为k:m，请计算k+m的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "March 18, 1970",
"style": "rule"
} | {
"index": 4328,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Up In Smoke (1957 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": "August 18, 1992",
"style": "rule"
} | {
"index": 4329,
"need_tools_kwargs": true,
"question": "When did the director of film The Man Who Dared (1946 Film) die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "29",
"style": "rule"
} | {
"index": 4330,
"need_tools_kwargs": true,
"question": "A sealed bottle is constructed by attaching a cylinder of radius \\(1 \\text{ cm}\\) to a cylinder of radius \\(3 \\text{ cm}\\). When the bottle is right side up, the height of the water inside is \\(20 \\text{ cm}\\). When the bottle is upside down, the height of the liquid is \\(28 \\text{ cm}\\). Determine the total height, in \\(\\text{cm}\\), of the bottle.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4331,
"need_tools_kwargs": true,
"question": "Five persons of different heights stand next to each other on numbered booths to take a picture. In how many ways can they be arranged such that the people in positions $1$ and $3$ are both taller than the person in position $2$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 4332,
"need_tools_kwargs": true,
"question": "Are Kucheh, Kermanshah and Obot both located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Blue",
"style": "rule"
} | {
"index": 4333,
"need_tools_kwargs": true,
"question": "What act for Innocent Records achieved Platinum sales and shares its name with a primary color in the RGB color model?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Kerry Condon",
"style": "rule"
} | {
"index": 4334,
"need_tools_kwargs": true,
"question": "Who acted in the shot film The Shore and is also the youngest actress ever to play Ophelia in a Royal Shakespeare Company production of \"Hamlet.\" ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{2} \\leq a \\leq \\frac{3}{4} ",
"style": "rule"
} | {
"index": 4335,
"need_tools_kwargs": true,
"question": "Given the function $f(x) = \n\\begin{cases} \nx^2 - 4ax + 2, & x < 1 \\\\\n\\log_{a}x, & x \\geq 1 \n\\end{cases}$, \nthe function is decreasing on the interval $(-\\infty, +\\infty)$. Determine the range of values for $a$.",
"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": "24",
"style": "rule"
} | {
"index": 4336,
"need_tools_kwargs": true,
"question": "We are given five watches which can be wound forward. What is the smallest sum of winding intervals that allows us to set them to the same time, regardless of their initial settings?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "My Love, My Bride",
"style": "rule"
} | {
"index": 4337,
"need_tools_kwargs": true,
"question": "Inside Men stars a South Korean actor who also appeared in which 2014 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": "New York",
"style": "rule"
} | {
"index": 4338,
"need_tools_kwargs": true,
"question": "Where was the director of film The Crooked Trail 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{27}{2}",
"style": "rule"
} | {
"index": 4339,
"need_tools_kwargs": true,
"question": "Find the area of the triangle bounded by the line \\( y = 9 - 3x \\) and the coordinate axes.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "14 May 2001",
"style": "rule"
} | {
"index": 4340,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Down The Ancient Staircase?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "three",
"style": "rule"
} | {
"index": 4341,
"need_tools_kwargs": true,
"question": "How many residential states is the town, located near Orford and Cinnamon Brow, divided into?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Selhurst",
"style": "rule"
} | {
"index": 4342,
"need_tools_kwargs": true,
"question": "Mike Deakin played in the football league for a team based in which part of London ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Wigan Warriors R.L.F.C.",
"style": "rule"
} | {
"index": 4343,
"need_tools_kwargs": true,
"question": "Joseph \"Joe\" Miller was an English professional rugby league footballer who played in the 1900s, and 1910s, playing at representative level for Great Britain, and England, and at club level for which professional rugby league club based in Wigan, Greater Manchester, England?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "31",
"style": "rule"
} | {
"index": 4344,
"need_tools_kwargs": true,
"question": "A cylindrical water tank has a radius of 20 feet and a height of 100 feet. It is filled with water to a height that is $30\\%$ of the tank's total capacity. The height of the water in the tank can be written as $a\\sqrt[3]{b}$, where $a$ and $b$ are positive integers, and $b$ is not divisible by a perfect cube greater than 1. What is $a+b$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "25\\%",
"style": "rule"
} | {
"index": 4345,
"need_tools_kwargs": true,
"question": "A vessel of capacity 3 liters has a certain percentage of alcohol and another vessel of capacity 5 liters has 40% alcohol. The total liquid of 8 liters was poured out into a vessel of capacity 10 liters, and the rest of the vessel was filled with water. The new concentration of the mixture is 27.5%. What is the percentage of alcohol in the first vessel?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Apple Records",
"style": "rule"
} | {
"index": 4346,
"need_tools_kwargs": true,
"question": "What record company was the song Oh My My released on? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 4347,
"need_tools_kwargs": true,
"question": "Did T. S. Ramasamy Pillai and Kitty Marion have the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "17 December 2010",
"style": "rule"
} | {
"index": 4348,
"need_tools_kwargs": true,
"question": "When did the revolutionary wave which made Jordanian tourism lost $1 billion in 2011 began ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4349,
"need_tools_kwargs": true,
"question": "A $3\\times3\\times3$ cube is made of $27$ normal dice. Each die's opposite sides sum to $7$. What is the smallest possible sum of all of the values visible on the $6$ faces of the large cube?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "barnstormer",
"style": "rule"
} | {
"index": 4350,
"need_tools_kwargs": true,
"question": "Gelatine was an airship piloted on September 19, 1905 by a pioneer American aviator and 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": "no",
"style": "rule"
} | {
"index": 4351,
"need_tools_kwargs": true,
"question": "Does the article from Cnbc | World Business News Leader claim that selling on Amazon is a terrible business decision, while the article from The Sydney Morning Herald reports a stock price fall due to an antitrust lawsuit, indicating differing impacts of Amazon's business practices on sellers and stockholders?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "-21",
"style": "rule"
} | {
"index": 4352,
"need_tools_kwargs": true,
"question": "In a positive term geometric sequence $\\{a_n\\}$, if $a_1=1$ and $3a_3$, $a_2$, $2a_4$ form an arithmetic sequence, then find the value of $\\log_2 (a_1 \\cdot a_2 \\cdot a_3 \\cdot a_4 \\cdot a_5 \\cdot a_6 \\cdot a_7) =$ ( )\n\nA: $-28$\n\nB: $-21$\n\nC: $21$\n\nD: $28$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 4353,
"need_tools_kwargs": true,
"question": "Does the article from Fortune discussing Ruby Franke's daughter describe the justification for abuse as a form of necessary discipline, in contrast to the article from The Verge which exonerates Catherine Tan of any accusations of sexual harassment and coercion?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "3:2",
"style": "rule"
} | {
"index": 4354,
"need_tools_kwargs": true,
"question": "Betty has 3 red beads for every certain number of blue beads that she has. She has 30 red beads and 20 blue beads. What is the ratio of red beads to blue beads?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "parts of some of the plays ascribed to Shakespeare are actually by other writers",
"style": "rule"
} | {
"index": 4355,
"need_tools_kwargs": true,
"question": "What has the recent work with stylometry revealead about some of William shakespeare's collaborations?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "102",
"style": "rule"
} | {
"index": 4356,
"need_tools_kwargs": true,
"question": "Water is the source of life and one of the indispensable important material resources for human survival and development. In order to better manage water quality and protect the environment, the Municipal Sewage Treatment Office plans to purchase 10 sewage treatment equipment in advance. There are two models, $A$ and $B$, with their prices and sewage treatment capacities as shown in the table below:<br/>\n\n| | $A$ model | $B$ model |\n|----------|-----------|-----------|\n| Price (million yuan) | $12$ | $10$ |\n| Sewage treatment capacity (tons/month) | $240$ | $200$ |\n\n$(1)$ In order to save expenses, the Municipal Sewage Treatment Office plans to purchase sewage treatment equipment with a budget not exceeding $105$ million yuan. How many purchasing plans do you think are possible?<br/>\n$(2)$ Under the condition in $(1)$, if the monthly sewage treatment volume must not be less than $2040$ tons, to save money, please help the Municipal Sewage Treatment Office choose the most cost-effective plan.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 28, 1987",
"style": "rule"
} | {
"index": 4357,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Life And Times Of Judge Roy Bean?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Maid In Sweden",
"style": "rule"
} | {
"index": 4358,
"need_tools_kwargs": true,
"question": "Which film came out earlier, De Vrais Mensonges or Maid In Sweden?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Thom Yorke",
"style": "rule"
} | {
"index": 4359,
"need_tools_kwargs": true,
"question": "Underground Sounds features a cover of a song originally by a band with what lead vocalist?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1946",
"style": "rule"
} | {
"index": 4360,
"need_tools_kwargs": true,
"question": "Find a four-digit number that leaves a remainder of 112 when divided by 131 and a remainder of 98 when divided by 132.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 4361,
"need_tools_kwargs": true,
"question": "Did Vadim Firsov and Adam Johansson have the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "The Goose Steps Out",
"style": "rule"
} | {
"index": 4362,
"need_tools_kwargs": true,
"question": "Which film was released earlier, The Goose Steps Out or Die You Zombie Bastards!?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Sunday In New York",
"style": "rule"
} | {
"index": 4363,
"need_tools_kwargs": true,
"question": "Which film whose director was born first, Respiro or Sunday In New York?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 4364,
"need_tools_kwargs": true,
"question": "Are the directors of films The Dark Stairway and Killers from Space both from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0 < a < 2",
"style": "rule"
} | {
"index": 4365,
"need_tools_kwargs": true,
"question": "Given two sets $A=\\{0,1\\}$ and $B=\\{a^2,2a\\}$, where $a \\in \\mathbb{R}$, we define the set $C=\\{x|x=x_1+x_2, x_1\\in A, x_2 \\in B\\}$ as $A \\times B$. If the largest element in set $A \\times B$ is $2a+1$, then the range of $a$ 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": "June 8, 2011",
"style": "rule"
} | {
"index": 4366,
"need_tools_kwargs": true,
"question": "The South Park Episode before Ass Burgers first aired on which date ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 4367,
"need_tools_kwargs": true,
"question": "Do both films: Frontier Revenge and Main Tere Liye have the directors from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "9901",
"style": "rule"
} | {
"index": 4368,
"need_tools_kwargs": true,
"question": "A subset of $X$ of $\\{1,2,3, \\ldots 10000 \\}$ has the following property: If $a,b$ are distinct elements of $X$, then $ab\\not\\in X$. What is the maximal number of elements in $X$?",
"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": "Yes",
"style": "rule"
} | {
"index": 4369,
"need_tools_kwargs": true,
"question": "Inequality\n\n\\[\nA a(B b+C c)+B b(C c+A a)+C c(A a+B b)>\\frac{1}{2}\\left(A B c^{2}+B C a^{2}+C A b^{2}\\right)\n\\]\n\nwhere \\(a>0, b>0, c>0\\) are given numbers, holds for all \\(A>0, B>0, C>0\\). Can one form a triangle with the segments \\(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... | math | {
"ground_truth": "0",
"style": "rule"
} | {
"index": 4370,
"need_tools_kwargs": true,
"question": "Given \\( 0 \\leq x \\leq \\pi \\) and \\( 3 \\sin \\frac{x}{2} = \\sqrt{1 + \\sin x} - \\sqrt{1 - \\sin x} \\), find the value of \\( \\tan 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": "7",
"style": "rule"
} | {
"index": 4371,
"need_tools_kwargs": true,
"question": "What number step is \"ubusuna jinja ni kiyu hokokuh\" in the Shinto funeral process?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Charles Dickens",
"style": "rule"
} | {
"index": 4372,
"need_tools_kwargs": true,
"question": "Who wrote his ninth novel based on a brittish police officer with scotland yard",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 4373,
"need_tools_kwargs": true,
"question": "Are both Neponset River and Agadão River located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{11}{18}",
"style": "rule"
} | {
"index": 4374,
"need_tools_kwargs": true,
"question": "A fair 10-sided die (with faces numbered 1 to 10) is rolled twice. If the numbers on both dice are equal, the die is rolled again until a distinct result is obtained. Calculate the probability that the first distinct number rolled is greater than or equal to the second distinct number.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1:2",
"style": "rule"
} | {
"index": 4375,
"need_tools_kwargs": true,
"question": "In January, families visiting a national park see animals 26 times. In February, they see animals three times as many as in January. Then in March, the animals are shyer, and the families who visit the national park see animals a certain ratio of times as they were seen in February. Families saw animals a total of 143 times in the first three months of the year. What is the ratio of the number of times animals were seen in March to the number of times they were seen in February?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "22 October 1927",
"style": "rule"
} | {
"index": 4376,
"need_tools_kwargs": true,
"question": "What is the date of death of Augusta Victoria Of Hohenzollern's father?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "March 28, 2014",
"style": "rule"
} | {
"index": 4377,
"need_tools_kwargs": true,
"question": "When was the U.S. Senator representing Alabama died who's memoir was When Hell Was in Session?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{2} + 3",
"style": "rule"
} | {
"index": 4378,
"need_tools_kwargs": true,
"question": "Given the random variables \\( X \\sim N(1,2) \\) and \\( Y \\sim N(3,4) \\), if \\( P(X < 0) = P(Y > a) \\), find the value of \\( a \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Neuss",
"style": "rule"
} | {
"index": 4379,
"need_tools_kwargs": true,
"question": "Where did Adolf Viii Of Berg's father 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": "Rob Quist",
"style": "rule"
} | {
"index": 4380,
"need_tools_kwargs": true,
"question": "Which one of the original five members of the Mission Mountain Wood Band was born in January, 1948?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "22 March 1984",
"style": "rule"
} | {
"index": 4381,
"need_tools_kwargs": true,
"question": "When was the German professional footballer who was a client to Roman Grill 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": 4382,
"need_tools_kwargs": true,
"question": "Are both Nestorio and Londesborough 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": "3",
"style": "rule"
} | {
"index": 4383,
"need_tools_kwargs": true,
"question": "Two circles touch each other internally. It is known that two radii of the larger circle, which form an angle of $60^\\circ$ between them, are tangent to the smaller circle. Find the ratio of the radii of the circles.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Perry \"J. P.\" Richardson Jr.",
"style": "rule"
} | {
"index": 4384,
"need_tools_kwargs": true,
"question": "what is the real name of Alex Andreas's potrayal on satge of The Big Bopper?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "11 January 2003",
"style": "rule"
} | {
"index": 4385,
"need_tools_kwargs": true,
"question": "When did the director of film Naked Childhood 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": "Elly lucas",
"style": "rule"
} | {
"index": 4386,
"need_tools_kwargs": true,
"question": "Who collaborated with David Gibb to do an advertising campaign for the company formerly known as the Bozeat Boot Company?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4\\sqrt{5}",
"style": "rule"
} | {
"index": 4387,
"need_tools_kwargs": true,
"question": "A square with a perimeter of 24 is inscribed in a square with a perimeter of 32. Calculate the greatest distance between a vertex of the inner square and a vertex of the outer square.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{a}{b} = \\frac{1}{2}",
"style": "rule"
} | {
"index": 4388,
"need_tools_kwargs": true,
"question": "Given the function $y=ax^{2}+b$, the slope of the tangent line at point $(1,3)$ is $2$. Find $\\frac{a}{b}$____.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Gloria",
"style": "rule"
} | {
"index": 4389,
"need_tools_kwargs": true,
"question": "Which song did The Hangmen cover that is popular with those learning to play guitar?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 4390,
"need_tools_kwargs": true,
"question": "Are director of film The Professionals (1966 Film) and director of film Punk'S Dead 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": "yes",
"style": "rule"
} | {
"index": 4391,
"need_tools_kwargs": true,
"question": "Are Borkohnak and Karamlu, East Azerbaijan 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",
"style": "rule"
} | {
"index": 4392,
"need_tools_kwargs": true,
"question": "Let $a, b$ be integers, and let $P( x) = ax^3+ bx.$ For any positive integer $n$ we say that the pair $(a,b)$ is $n$-good if $n\\mid P(m)-P(k)$ implies $n\\mid m-k$ for all integers $m,k.$ We say that $(a,b)$ is very good if $( a, b)$ is $n$-good for infinitely many positive integers $n.$\n(a) Find a pair $(a,b)$ which is $51$-good, but not very good.\n(b) Show that all $2010$-good pairs are very good. Please provide the sum of the integers involved in the final solution.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Ruskin (8 February 1819 – 20 January 1900)",
"style": "rule"
} | {
"index": 4393,
"need_tools_kwargs": true,
"question": "Was the namesake of the Ruskin Colony alive when the colony was founded?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{3}",
"style": "rule"
} | {
"index": 4394,
"need_tools_kwargs": true,
"question": "A regular hexagon \\( ABCDEF \\) has a side length \\( AB \\) equal to \\( \\sqrt{3} \\), which serves as a chord of a certain circle. The other sides of the hexagon lie outside this circle. Additionally, the length of the tangent \\( CM \\), drawn from vertex \\( C \\) to the same circle, is 3. Determine the diameter of the circle.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4395,
"need_tools_kwargs": true,
"question": "Consider an infinite set $\\displaystyle{M}$ consisting of positive integers such that for any $\\displaystyle{a,b \\in M}$ with $\\displaystyle{a < b}$, the sum $\\displaystyle{a + b}$ is square-free. Construct a finite subset $\\displaystyle{N}$ of $\\displaystyle{M}$ with the smallest possible number of elements, such that the sum of the elements in $\\displaystyle{N}$ is minimized. Calculate the sum of the elements in $\\displaystyle{N}$.",
"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": "709.72",
"style": "rule"
} | {
"index": 4396,
"need_tools_kwargs": true,
"question": "Let $\\triangle XYZ$ be a triangle in the plane, and let $W$ be a point outside the plane of $\\triangle XYZ$, so that $WXYZ$ is a pyramid whose faces are all triangles.\n\nSuppose that each edge of $WXYZ$ has length $13$ or $30$, but no face of $WXYZ$ is equilateral. Determine the surface area of $WXYZ$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4397,
"need_tools_kwargs": true,
"question": "Each person in a group of ten people calculates the sum of the ages of the other nine members of the group. The ten sums obtained were \\(82, 83, 84, 85, 87, 89, 90, 90, 91\\), and \\( 92 \\).\n\nDetermine the age of the youngest person.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "406",
"style": "rule"
} | {
"index": 4398,
"need_tools_kwargs": true,
"question": "Ed and Sue bike at equal and constant rates. They also jog and swim at equal and constant rates, respectively. Ed covers 84 kilometers after biking for 3 hours, jogging for 3 hours, and swimming for 3 hours, while Sue covers 102 kilometers after jogging for 3 hours, swimming for 3 hours, and biking for 3 hours. Calculate the sum of the squares of Ed's biking, jogging, and swimming rates, given that these rates are all whole numbers of kilometers per hour.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4399,
"need_tools_kwargs": true,
"question": "Given the equation $x^2+4ax+3a+1=0$ (where $a$ is a constant greater than 1) has roots $\\tan\\alpha$ and $\\tan\\beta$, and $\\alpha, \\beta \\in \\left(-\\frac{\\pi}{2}, \\frac{\\pi}{2}\\right)$, then the value of $\\tan \\frac{\\alpha +\\beta}{2}$ is __________.",
"split": "train"
} | null |
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