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": "9",
"style": "rule"
} | {
"index": 3900,
"need_tools_kwargs": true,
"question": "One hundred musicians are planning to organize a festival with several concerts. In each concert, while some of the one hundred musicians play on stage, the others remain in the audience assisting the players. What is the least number of concerts required so that each musician has the opportunity to listen to every other musician on stage?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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, 3)",
"style": "rule"
} | {
"index": 3901,
"need_tools_kwargs": true,
"question": "Given vectors $m=(2\\sqrt{3}\\sin\\frac{x}{4}, 2)$ and $n=(\\cos\\frac{x}{4}, \\cos^2\\frac{x}{4})$,\n\n(I) If $m\\cdot n=2$, find the value of $\\cos(x+\\frac{\\pi}{3})$;\n\n(II) Let $f(x)=m\\cdot n$. In triangle $ABC$, the sides opposite to angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively, and they satisfy $(2a-c)\\cos B=b\\cos C$. Find the range of $f(A)$.",
"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": "American",
"style": "rule"
} | {
"index": 3902,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Out (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... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": 3903,
"need_tools_kwargs": true,
"question": "Let $f : N \\to R$ be a function, satisfying the following condition:\nfor every integer $n > 1$, there exists a prime divisor $p$ of $n$ such that $f(n) = f \\big(\\frac{n}{p}\\big)-f(p)$.\nIf $f(2^{2007}) + f(3^{2008}) + f(5^{2009}) = 2006$, determine the value of $f(2007^2) + f(2008^3) + f(2009^5)$",
"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": "\\frac{a-1}{a}",
"style": "rule"
} | {
"index": 3904,
"need_tools_kwargs": true,
"question": "Given that the fractional part of the common logarithm of a positive number \\(M\\) is \\(\\frac{1}{a}\\), find the fractional part of the common logarithm of \\(\\frac{1}{M}\\).\n(A) \\(\\frac{1}{a}\\). \n(B) \\(\\frac{a-1}{a}\\). \n(C) \\(\\frac{-1}{a}\\). \n(D) \\(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": "44",
"style": "rule"
} | {
"index": 3905,
"need_tools_kwargs": true,
"question": "In a rice field, you can get a total of 20 sacks of rice every harvest. If the yield increases by twenty percent after every harvest, what is the total number of sacks of rice you can get after the first and second harvest?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 1, 1999",
"style": "rule"
} | {
"index": 3906,
"need_tools_kwargs": true,
"question": "Bill Nye hosted a self-titled show, which was predecessor to \"The Eyes of Nye\"; what was the final air date of that predecessor show?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "C. J. Cherryh",
"style": "rule"
} | {
"index": 3907,
"need_tools_kwargs": true,
"question": "What author is well known for writing speculative fiction and featured cover art by her brother on one of her books?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3908,
"need_tools_kwargs": true,
"question": "A vertex of a tetrahedron is called perfect if the three edges at this vertex form the sides of a certain triangle. How many perfect vertices can a tetrahedron have?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "24",
"style": "rule"
} | {
"index": 3909,
"need_tools_kwargs": true,
"question": "Let $m$ be the integer such that $0 \\le m < 37$ and $4m \\equiv 1 \\pmod{37}$. Compute $\\left(3^m\\right)^4 - 3 \\pmod{37}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "50",
"style": "rule"
} | {
"index": 3910,
"need_tools_kwargs": true,
"question": "The school football team originally had 36 people, and then 14 more people joined. Now, the football team has 50 people.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3911,
"need_tools_kwargs": true,
"question": "A group of 5 children are taken to an amusement park. Only 3 of them were daring enough to get on the Ferris wheel which cost $5 per child. Everyone had a go at the merry-go-round (at a certain amount per child). On their way home, they bought 2 cones of ice cream each (each cone cost $8). They spent altogether $110. How much did the merry-go-round ride cost per child?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3912,
"need_tools_kwargs": true,
"question": "Do both films, The Trail Of The Lonesome Pine (1923 Film) and La Torre De Suso, have the directors who are 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": "7 October 1471",
"style": "rule"
} | {
"index": 3913,
"need_tools_kwargs": true,
"question": "What is the birthdate of this King of Denmark and Norway, of whom Mogens Gaye was the Royal councillor?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Virginia Brown Faire",
"style": "rule"
} | {
"index": 3914,
"need_tools_kwargs": true,
"question": "Who is the spouse of the director of film The Trail Of The Octopus?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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^2 + 5a + 4}{2}",
"style": "rule"
} | {
"index": 3915,
"need_tools_kwargs": true,
"question": "\\( a \\) is a fixed odd positive integer. Find the largest positive integer \\( n \\) for which there are no positive integers \\( x, y, z \\) such that \\( ax + (a + 1)y + (a + 2)z = 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": "49",
"style": "rule"
} | {
"index": 3916,
"need_tools_kwargs": true,
"question": "Find the last three digits of $9^{105}.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "240",
"style": "rule"
} | {
"index": 3917,
"need_tools_kwargs": true,
"question": "In a $4 \\times 5$ grid, place 5 crosses such that each row and each column contains at least one cross. How many ways can this be done?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3918,
"need_tools_kwargs": true,
"question": "Are both villages, Mohsenabad-E Pain and Khamisabad, 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": "(-\\infty, 40] \\cup [160, +\\infty)",
"style": "rule"
} | {
"index": 3919,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=4x^{2}-kx-8$ in the interval $(5,20)$ has neither a maximum nor a minimum value, determine the range of the real number $k$.\nA: $[160,+∞)$\nB: $(-∞,40]$\nC: $(-∞,40]∪[160,+∞)$\nD: $(-∞,20]∪[80,+∞)$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Canadian",
"style": "rule"
} | {
"index": 3920,
"need_tools_kwargs": true,
"question": "Which country the director of film The Assistant (1998 Film) is from?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "53",
"style": "rule"
} | {
"index": 3921,
"need_tools_kwargs": true,
"question": "Find the number of pairs of positive integers $(m, n)$, with $m \\leq n$, such that the least common multiple (LCM) of $m$ and $n$ equals $600$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Forest Lawn Memorial Park",
"style": "rule"
} | {
"index": 3922,
"need_tools_kwargs": true,
"question": "Where was the place of burial of the director of film The Crime Of Doctor Hallet?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"index": 3923,
"need_tools_kwargs": true,
"question": "In the geometric sequence $\\{a\\_n\\}$, it is known that $a\\_2=2$ and $a\\_8=32$. Find the value of $a\\_5$.",
"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": "17",
"style": "rule"
} | {
"index": 3924,
"need_tools_kwargs": true,
"question": "If $a, b,$ and $c$ are digits for which \\[ \\begin{array}{cccc} & 7 & a & 2 \\\\ - & 4 & 8 & b \\\\ \\hline & c & 7 & 3 \\end{array} \\] then find the value of $a + b + c$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 3925,
"need_tools_kwargs": true,
"question": "Are director of film Mazhakaaru and director of film Change (Film) 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": "Travis David Tomko",
"style": "rule"
} | {
"index": 3926,
"need_tools_kwargs": true,
"question": "Which member of the former TNA wrestling tag team duo A.J. Styles and Tomko, is the owner of a Pūrlife Fitness Center in Delray Beach, Florida?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "72",
"style": "rule"
} | {
"index": 3927,
"need_tools_kwargs": true,
"question": "Find $\\frac{a^{8}-6561}{81 a^{4}} \\cdot \\frac{3 a}{a^{2}+9}$, given that $\\frac{a}{3}-\\frac{3}{a}=4$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 3928,
"need_tools_kwargs": true,
"question": "Are the directors of both films East Lynne (1925 film) and Let Them Chirp Awhile 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": "182",
"style": "rule"
} | {
"index": 3929,
"need_tools_kwargs": true,
"question": "Find the smallest positive integer $n$ such that for any $n$ distinct integers $a_1, a_2, \\dots, a_n$, the product of all differences $a_i - a_j$ for $i < j$ is divisible by $1991$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Offa of Angel",
"style": "rule"
} | {
"index": 3930,
"need_tools_kwargs": true,
"question": "Who is Dan II of Denmark's father, also known as the legendary king of the Angles?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "300",
"style": "rule"
} | {
"index": 3931,
"need_tools_kwargs": true,
"question": "Given the sequence $\\{a\\_n\\}$ that satisfies the condition: when $n \\geqslant 2$ and $n \\in \\mathbb{N}^+$, we have $a\\_n + a\\_{n-1} = (-1)^n \\times 3$. Calculate the sum of the first 200 terms of the sequence $\\{a\\_n\\}$.",
"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... | qa | {
"ground_truth": "Duffy's Tavern",
"style": "rule"
} | {
"index": 3932,
"need_tools_kwargs": true,
"question": "What 1945 American comedy film, directed by Hal Walker, did Eddie Bracken, the comedy legend that appeared in \"Hail the Conquering Hero\" and \"The Miracle of Morgan's Creek\" appear?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "156",
"style": "rule"
} | {
"index": 3933,
"need_tools_kwargs": true,
"question": "Let $a$ and $b$ be constants. Suppose that the equation \\[\\frac{(x+a)(x+b)(x+12)}{(x+3)^2} = 0\\]has exactly $3$ distinct roots, while the equation \\[\\frac{(x+2a)(x+3)(x+6)}{(x+b)(x+12)} = 0\\]has exactly $1$ distinct root. Compute $100a + b.$",
"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": "\\frac{\\sqrt{3}}{3}",
"style": "rule"
} | {
"index": 3934,
"need_tools_kwargs": true,
"question": "Given that the edge length of the cube \\( ABCD-A_1B_1C_1D_1 \\) is 1, point \\( M \\) is chosen on the diagonal \\( A_1D \\) and point \\( N \\) is chosen on \\( CD_1 \\), such that segment \\( MN \\) is parallel to the diagonal face \\( A_1ACC_1 \\). What is the minimum value of \\( MN \\)?\n(A) \\( \\frac{\\sqrt{3}}{3} \\) \n(B) 1 \n(C) \\( \\sqrt{2} \\) \n(D) \\( \\frac{\\sqrt{2}}{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": "Alexis Sánchez",
"style": "rule"
} | {
"index": 3935,
"need_tools_kwargs": true,
"question": "Who is the Chilean footballer that, in 2018, left Arsenal and joined the team that Rooney transferred to in 2004?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "tennis player",
"style": "rule"
} | {
"index": 3936,
"need_tools_kwargs": true,
"question": "Casey Dellacqua and Yevgeny Kafelnikov are both what?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0",
"style": "rule"
} | {
"index": 3937,
"need_tools_kwargs": true,
"question": "设 p 是奇质数. 对 1\\leq k\\leq p-1，用 a_k 表示 kp+1 的不小于 k 而小于 p 的因数的个数. 求 a_1+a_2+\\cdots+a_{p-1} 的值。答案的形式为 mp + n，请给出 m + n 的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1573 to 1813",
"style": "rule"
} | {
"index": 3938,
"need_tools_kwargs": true,
"question": "The cathedral that was the home of the organs Dirk Andries Flentrop restored in 1977 was built in sections between what years? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "188",
"style": "rule"
} | {
"index": 3939,
"need_tools_kwargs": true,
"question": "For positive integers $a$ , $b$ , and $c$ with $a < b < c$ , consider collections of postage stamps in denominations $a$ , $b$ , and $c$ cents that contain at least one stamp of each denomination. If there exists such a collection that contains sub-collections worth every whole number of cents up to $1000$ cents, let $f(a, b, c)$ be the minimum number of stamps in such a collection. Find the sum of the three least values of $c$ such that $f(a, b, c) = 97$ for some choice of $a$ and $b$ .",
"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": "March 31, 1965",
"style": "rule"
} | {
"index": 3940,
"need_tools_kwargs": true,
"question": "When is the director of film Saw 3D '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": " (p, q, r) = (5, -1, -1) ",
"style": "rule"
} | {
"index": 3941,
"need_tools_kwargs": true,
"question": "Let $(a,b)=(a_n,a_{n+1}),\\forall n\\in\\mathbb{N}$ all be positive interger solutions that satisfies $$ 1\\leq a\\leq b $$ and $$ \\dfrac{a^2+b^2+a+b+1}{ab}\\in\\mathbb{N} $$ And the value of $a_n$ is **only** determined by the following recurrence relation: $ a_{n+2} = pa_{n+1} + qa_n + r$ \nFind $(p,q,r)$ .",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "French",
"style": "rule"
} | {
"index": 3942,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Seven Years Bad Luck?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3943,
"need_tools_kwargs": true,
"question": "Given a real number $\\lambda > 1$, let $P$ be a point on the arc $BAC$ of the circumcircle of $\\bigtriangleup ABC$. Extend $BP$ and $CP$ to $U$ and $V$ respectively such that $BU = \\lambda BA$, $CV = \\lambda CA$. Then extend $UV$ to $Q$ such that $UQ = \\lambda UV$. The locus of point $Q$ is in the form of a circle centered at $(x, y)$ with radius $r$. Please find the value of $x + y + r$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Kraków",
"style": "rule"
} | {
"index": 3944,
"need_tools_kwargs": true,
"question": "Where was the husband of Anne Of Bohemia, Duchess Of Silesia 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": "Anderlecht of Belgium",
"style": "rule"
} | {
"index": 3945,
"need_tools_kwargs": true,
"question": "In the 1977 European Cup Winners' Cup Final, what team played against the only team that has played in every season of the Bundesliga?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3946,
"need_tools_kwargs": true,
"question": "设双曲线 C:\\df{x^2}{a^2}-\\df{y^2}{b^2}=1，A_1,A_2 为双曲线 C 的左、右顶点，F 为 C 的焦点。以坐标原点 O 为圆心、|OF| 为半径的圆与 C 的渐近线的一个交点为 B。若 \\angle A_1BA_2=60^\\circ，则 C 的离心率的原始答案为 \\frac{\\sqrt{k}}{m} 的形式，请给出 k + m 的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 3947,
"need_tools_kwargs": true,
"question": "Do both The Scarlet Letter (1934 film) and A City Is Beautiful at Night films have the directors from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Manchester",
"style": "rule"
} | {
"index": 3948,
"need_tools_kwargs": true,
"question": "Where is the band that produced \"Runaground\" from?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1288",
"style": "rule"
} | {
"index": 3949,
"need_tools_kwargs": true,
"question": "Let $BC = 6$, $BX = 3$, $CX = 5$, and let $F$ be the midpoint of $\\overline{BC}$. Let $\\overline{AX} \\perp \\overline{BC}$ and $AF = \\sqrt{247}$. If $AC$ is of the form $\\sqrt{b}$ and $AB$ is of the form $\\sqrt{c}$ where $b$ and $c$ are nonnegative integers, find $2c + 3b$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3950,
"need_tools_kwargs": true,
"question": "Do both films High Anxiety and Uncivilised (film) have the directors that share the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "5 November 1880",
"style": "rule"
} | {
"index": 3951,
"need_tools_kwargs": true,
"question": "When was the director of film Die Arche 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": "121",
"style": "rule"
} | {
"index": 3952,
"need_tools_kwargs": true,
"question": "The sum of the squares of 50 consecutive odd integers is 300850. Find the largest odd integer whose square is the last term of this sum.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3953,
"need_tools_kwargs": true,
"question": "Quadrilateral $PQRS$ is inscribed in a circle with segment $PR$ as a diameter of the circle. If $m\\angle PQR = 15^\\circ$ and $m\\angle QPR = 60^\\circ$, the ratio of the area of $PQRS$ to the area of the circle can be expressed as a common fraction in simplest radical form in terms of $\\pi$ as $\\frac{a+\\sqrt{b}}{c\\pi}$, where $a,$ $b,$ and $c$ are positive integers. What is the value of $a + b + c$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Canadian",
"style": "rule"
} | {
"index": 3954,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song I Don'T Care (Eva Tanguay Song)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "10020",
"style": "rule"
} | {
"index": 3955,
"need_tools_kwargs": true,
"question": "There is an unknown number. When divided by 5, there is no remainder. When divided by 715, the remainder is 10. When divided by 247, the remainder is 140. When divided by 391, the remainder is 245. When divided by 187, the remainder is 109. What is the number?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "FG 42",
"style": "rule"
} | {
"index": 3956,
"need_tools_kwargs": true,
"question": "The Sturmgewehr 52 was heavily patterned after which selective-fire automatic rifle produced in Nazi Germany during World War II?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Phool Aur Patthar",
"style": "rule"
} | {
"index": 3957,
"need_tools_kwargs": true,
"question": "Which film was released first, Phool Aur Patthar or A Dandy In Aspic?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3958,
"need_tools_kwargs": true,
"question": "Are both Philip Glazebrook and Marko Ivović 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": "11 children",
"style": "rule"
} | {
"index": 3959,
"need_tools_kwargs": true,
"question": "How many children did the follower of the Puritan clergyman who received both a B.A. and M.A. at Sidney Sussex College, Cambridge in the seventeenth century have?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Chad Robert Turton",
"style": "rule"
} | {
"index": 3960,
"need_tools_kwargs": true,
"question": "Between Chad Kroeger and Benjamin Burnley, who has written more for films?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3961,
"need_tools_kwargs": true,
"question": "Let $D$ be the footpoint of the altitude from $B$ in the triangle $ABC$, where $AB=1$. The incircle of triangle $BCD$ coincides with the centroid of triangle $ABC$. Find the lengths of $AC$ and $BC$. The original answer is in the form \\sqrt{\\frac{k}{m}}, please give the value of k + m.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 3962,
"need_tools_kwargs": true,
"question": "Are both villages, Cacela Velha and Damasta, Heraklion, 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": "two National Film Awards",
"style": "rule"
} | {
"index": 3963,
"need_tools_kwargs": true,
"question": "How many National Film Awards did the main actor in Awaargi win?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Isla Lang Fisher",
"style": "rule"
} | {
"index": 3964,
"need_tools_kwargs": true,
"question": "Which Definitely, Maybe star is from Australia? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Woyzeck’s Last Symphony",
"style": "rule"
} | {
"index": 3965,
"need_tools_kwargs": true,
"question": "Which short film did the director of the 2014 Danish crime mystery film, \"The Absent One\", create as a graduation project?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "February 22, 1893",
"style": "rule"
} | {
"index": 3966,
"need_tools_kwargs": true,
"question": "When is the director of film The Virginian (1923 Film) '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": "4 September 2016",
"style": "rule"
} | {
"index": 3967,
"need_tools_kwargs": true,
"question": "When did the founder of magazine Oz (Magazine) 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": "May 14, 1964",
"style": "rule"
} | {
"index": 3968,
"need_tools_kwargs": true,
"question": "When was the ESPN analyst born who was was involved in an incident in 2003, in which a drunk Namath asked her to kiss him?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{63.75}",
"style": "rule"
} | {
"index": 3969,
"need_tools_kwargs": true,
"question": "Find the distance between the foci of the hyperbola $x^2 - 8x - 16y^2 - 16y = 48$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Hubert Van Eyck",
"style": "rule"
} | {
"index": 3970,
"need_tools_kwargs": true,
"question": "Who is the sibling of the person who developed Virgin and Child with Canon van der Paele?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3971,
"need_tools_kwargs": true,
"question": "设正数 $a_{1}, a_{2}, a_{3}, b_{1}, b_{2}, b_{3}$ 满足: $a_{1}, a_{2}, a_{3}$ 成公差为 $b_{1}$ 的等差数列, $b_{1}, b_{2}, b_{3}$ 成公比为 $a_{1}$ 的等比数列, 且 $a_{3}=b_{3}$. 求 $a_{3}$ 的最小值, 并确定当 $a_{3}$ 取到最小值时 $a_{2} b_{2}$ 的值。原始答案为$\\frac{m\\sqrt{n}}{k}$格式，请给出$m + n + k$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": 3972,
"need_tools_kwargs": true,
"question": "The volume of pyramid \\(ABCD\\) is 5. A plane is drawn through the midpoints of edges \\(AD\\) and \\(BC\\), intersecting edge \\(CD\\) at point \\(M\\), such that the ratio \\(DM:MC = 2:3\\). Given that the distance from this plane to vertex \\(A\\) is 1, determine the area of the cross-section of the pyramid formed by the plane.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "0.3",
"style": "rule"
} | {
"index": 3973,
"need_tools_kwargs": true,
"question": "The random variable $X$ follows a normal distribution $N(1, 4)$, where the mean $\\mu = 1$ and the variance $\\sigma^2 = 4$. If $P(X \\geq 2) = 0.2$, then the probability $P(0 \\leq X \\leq 1)$ is ( ).\n\nA: 0.2 \nB: 0.6 \nC: 0.4 \nD: 0.3",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "English",
"style": "rule"
} | {
"index": 3974,
"need_tools_kwargs": true,
"question": "What nationality was the actor in a crime thriller that premiered in September 2008?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"index": 3975,
"need_tools_kwargs": true,
"question": "What is the remainder when the sum\n\\[\\binom{2013}{1} + 2013\\binom{2013}{3} + 2013^2\\binom{2013}{5} + \\dots + 2013^{1006}\\binom{2013}{2013}\\]\nis divided by $41$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{6}",
"style": "rule"
} | {
"index": 3976,
"need_tools_kwargs": true,
"question": "Calculate the infinite sum:\n\\[\n\\sum_{n=1}^\\infty \\frac{n^3 - n}{(n+3)!}\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": "78",
"style": "rule"
} | {
"index": 3977,
"need_tools_kwargs": true,
"question": "In the sequence $\\{a_n\\}$, $a_{n+1} + (-1)^n a_n = 2n - 1$. Calculate the sum of the first 12 terms of $\\{a_n\\}$.",
"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": "a^2",
"style": "rule"
} | {
"index": 3978,
"need_tools_kwargs": true,
"question": "Calculate the area enclosed by the Bernoulli lemniscate \\( r^{2} = a^{2} \\cos 2\\varphi \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3979,
"need_tools_kwargs": true,
"question": "Does the TechCrunch article suggest that Binance withdrew funds from FTX, while the Cnbc | World Business News Leader article indicates that Binance's CEO is stepping down, contrasting the operational and leadership statuses of Binance in the two reports?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "15843",
"style": "rule"
} | {
"index": 3980,
"need_tools_kwargs": true,
"question": "2. Let $\\Gamma_{1}$ and $\\Gamma_{2}$ be externally tangent circles with radii $\\frac{1}{2}$ and $\\frac{1}{8}$, respectively. The line $\\ell$ is a common external tangent to $\\Gamma_{1}$ and $\\Gamma_{2}$. For $n \\geq 3$, we define $\\Gamma_{n}$ as the smallest circle tangent to $\\Gamma_{n-1}, \\Gamma_{n-2}$, and $\\ell$. The radius of $\\Gamma_{10}$ can be expressed as $\\frac{a}{b}$ where $a, b$ are relatively prime positive integers. Find $a+b$.",
"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": "yes",
"style": "rule"
} | {
"index": 3981,
"need_tools_kwargs": true,
"question": "Are the directors of both films Pet Sematary (1989 Film) and Lovers (1927 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": "8888888888888",
"style": "rule"
} | {
"index": 3982,
"need_tools_kwargs": true,
"question": "Exhibit a $13$ -digit integer $N$ that is an integer multiple of $2^{13}$ and whose digits consist of only $8$ s and $9$ s.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "team",
"style": "rule"
} | {
"index": 3983,
"need_tools_kwargs": true,
"question": "What kind of group does Madmen and DC Comics have in common?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Amy Lee Grant",
"style": "rule"
} | {
"index": 3984,
"need_tools_kwargs": true,
"question": "ReJoyce: The Christmas Album is the fourth studio album by American pop singer Jessica Simpson, Simpson has said that which American singer, songwriter, musician, author and media personality, is one of her favorite recording artists and her role 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... | math | {
"ground_truth": "94, 92, 91, 87, 86",
"style": "rule"
} | {
"index": 3985,
"need_tools_kwargs": true,
"question": "The scores on David's first two tests were 92 and 86. After three more tests, the mean score for all five tests was 90. Each test score was less than 95, and all of David's test scores were different integer values. List David's five test scores from the greatest to the least, separated by commas.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Royal College of Art",
"style": "rule"
} | {
"index": 3986,
"need_tools_kwargs": true,
"question": "The English architect who specialized in the early modernist period graduated from which public research university in 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... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"index": 3987,
"need_tools_kwargs": true,
"question": "In the diagram, \\(P Q R S\\) is a rectangle with \\(PQ=5\\) and \\(QR=3\\). \\(PR\\) is divided into three segments of equal length by points \\(T\\) and \\(U\\). The area of quadrilateral \\(STQU\\) is:\n(A) \\(\\frac{17}{3}\\)\n(B) 5\n(C) \\(\\frac{5}{2}\\)\n(D) \\(\\frac{\\sqrt{34}}{3}\\)\n(E) \\(\\sqrt{34}\\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "(1,1)",
"style": "rule"
} | {
"index": 3988,
"need_tools_kwargs": true,
"question": "Given that the coordinates of point $P$ are $\\left(a,2a-1\\right)$ and point $P$ lies on the bisector of the two coordinate axes in the first and third quadrants, the coordinates of point $P$ are ______.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Nigel Martin Evans",
"style": "rule"
} | {
"index": 3989,
"need_tools_kwargs": true,
"question": "Eleanor Fulton Laing is a British Conservative politician, who has represented Epping Forest as the constituency's Member of Parliament, in October 2013, fellow MPs elected her as a Deputy Speaker of the House of Commons, replacing which British politician?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1125",
"style": "rule"
} | {
"index": 3990,
"need_tools_kwargs": true,
"question": "When was Elisabeth, Countess Of Vermandois's mother 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": "192",
"style": "rule"
} | {
"index": 3991,
"need_tools_kwargs": true,
"question": "A certain community activity requires volunteers to participate in service for six consecutive days, with only one volunteer needed each day. There are six volunteers named A, B, C, D, E, F. They are planned to participate in the community service consecutively. It is required that A is not arranged on the first day, and B and C participate in service on two consecutive days. The total number of different arrangements is ( ).\n\nA: 72\n\nB: 81\n\nC: 144\n\nD: 192",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "ones",
"style": "rule"
} | {
"index": 3992,
"need_tools_kwargs": true,
"question": "Consider the sum of the digits of all numbers from 1 to 1,000,000 inclusive. For the resulting numbers, consider the sum of the digits again, and so on, until we obtain a million single-digit numbers. Which numbers are more among them - ones or twos?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "254",
"style": "rule"
} | {
"index": 3993,
"need_tools_kwargs": true,
"question": "In triangle $ABC$ , $AB = AC = 100$ , and $BC = 56$ . Circle $P$ has radius $16$ and is tangent to $\\overline{AC}$ and $\\overline{BC}$ . Circle $Q$ is externally tangent to circle $P$ and is tangent to $\\overline{AB}$ and $\\overline{BC}$ . No point of circle $Q$ lies outside of $\\bigtriangleup\\overline{ABC}$ . The radius of circle $Q$ can be expressed in the form $m - n\\sqrt{k}$ ,where $m$ , $n$ , and $k$ are positive integers and $k$ is the product of distinct primes. Find $m +nk$ .",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Nicosia",
"style": "rule"
} | {
"index": 3994,
"need_tools_kwargs": true,
"question": "Where did Charlotte, Queen Of Cyprus'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": "no",
"style": "rule"
} | {
"index": 3995,
"need_tools_kwargs": true,
"question": "Are both San Diego Hall Of Champions and Rozhdestveno Memorial Estate 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": "14.4",
"style": "rule"
} | {
"index": 3996,
"need_tools_kwargs": true,
"question": "Without stoppages, a train travels a certain distance with an average speed of 250 km/h, and with stoppages, it covers the same distance with an average speed of 125 km/h. How many minutes per hour does the train stop?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3997,
"need_tools_kwargs": true,
"question": "Let $a$ and $b$ satisfy the conditions \\( \\begin{cases} a^3 - 6a^2 + 15a = 9 \\\\ b^3 - 3b^2 + 6b = -1 \\end{cases} \\). Find the value of \\((a - b)^{2014}\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Blue Ridge Mountains",
"style": "rule"
} | {
"index": 3998,
"need_tools_kwargs": true,
"question": "Which mountain range contains the highest rise of the Hazel River?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "12 January 1924",
"style": "rule"
} | {
"index": 3999,
"need_tools_kwargs": true,
"question": "When is the director of film Red Line (1959 Film) 's birthday?",
"split": "train"
} | null |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.