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": "6",
"style": "rule"
} | {
"index": 3400,
"need_tools_kwargs": true,
"question": "设 3 阶实对称矩阵 $A$ 的三个特征值分别为 $-1,-1,2$, 且 $(1,1,-1)^{T}$ 是特征值 2所对应的特征向量。记 $A$ 中所有元素的平方之和为 $I$, 则 $[I]=$ $\\qquad$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "erotica",
"style": "rule"
} | {
"index": 3401,
"need_tools_kwargs": true,
"question": "What is another description for the subject of magazines published by Paul Raymond Publications?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Pietro Bernini",
"style": "rule"
} | {
"index": 3402,
"need_tools_kwargs": true,
"question": "Who is the father of the artist of Bust of Francesco I d'Este?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3403,
"need_tools_kwargs": true,
"question": "What is the greatest number of consecutive integers whose sum is $45?$\n$\\textbf{(A) } 9 \\qquad\\textbf{(B) } 25 \\qquad\\textbf{(C) } 45 \\qquad\\textbf{(D) } 90 \\qquad\\textbf{(E) } 120$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Corey Sanders",
"style": "rule"
} | {
"index": 3404,
"need_tools_kwargs": true,
"question": "What CEO manages a hotel and casino situated on the southern end of the Las Vegas Strip?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "73",
"style": "rule"
} | {
"index": 3405,
"need_tools_kwargs": true,
"question": "A circle of radius $r$ has chords $\\overline{AB}$ of length $10$ and $\\overline{CD}$ of length 7. When $\\overline{AB}$ and $\\overline{CD}$ are extended through $B$ and $C$, respectively, they intersect at $P$, which is outside of the circle. If $\\angle... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "0.710059171597633",
"style": "rule"
} | {
"index": 3406,
"need_tools_kwargs": true,
"question": "It is known that \\(\\frac{7}{13} + \\sin \\varphi = \\cos \\varphi\\) for some real \\(\\varphi\\). What is \\(\\sin 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... | math | {
"ground_truth": "0",
"style": "rule"
} | {
"index": 3407,
"need_tools_kwargs": true,
"question": "For $n\\geq 2$ , an equilateral triangle is divided into $n^2$ congruent smaller equilateral triangles. Detemine all ways in which real numbers can be assigned to the $\\frac{(n+1)(n+2)}{2}$ vertices so that three such numbers sum to zero whenever the... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1 February 1875",
"style": "rule"
} | {
"index": 3408,
"need_tools_kwargs": true,
"question": "When was the director of film The Owl (1927 Film) born?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "10 October 1845",
"style": "rule"
} | {
"index": 3409,
"need_tools_kwargs": true,
"question": "When was the institution from which Steve Ogden received his Bachelor of Science degree established ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2004",
"style": "rule"
} | {
"index": 3410,
"need_tools_kwargs": true,
"question": "Suppose the polynomial $f(x) = x^{2014}$ is expressed as $f(x) = \\sum^{2014}_{k=0} a_k \\binom{x}{k}$ for some real numbers $a_0, a_1, \\ldots, a_{2014}$. Find the largest integer $m$ such that $2^m$ divides $a_{2013}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3411,
"need_tools_kwargs": true,
"question": "Let \\( r \\) be the speed in miles per hour at which a wheel, 10 feet in circumference, travels. If the time for a complete rotation of the wheel is shortened by \\( \\frac{1}{5} \\) of a second, and this results in an increase of the speed \\( r \\) by 6 ... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3412,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Common Law Cabin?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "22",
"style": "rule"
} | {
"index": 3413,
"need_tools_kwargs": true,
"question": "The side lengths of a triangle are natural number multiples of $7$, and each side is smaller than $40$. How many triangles satisfy these conditions?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "175",
"style": "rule"
} | {
"index": 3414,
"need_tools_kwargs": true,
"question": "Find all three-digit numbers that are five times the product of their digits.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"index": 3415,
"need_tools_kwargs": true,
"question": "Let $T$ be the set of complex numbers of the form $u + vi,$ where $u$ and $v$ are real numbers, such that \n\\[\\frac{1}{2} \\le u \\le \\frac{\\sqrt{2}}{2}.\\] Find the smallest positive integer $n$ such that for all positive integers $m \\ge n,$ there exi... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Madrid",
"style": "rule"
} | {
"index": 3416,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film The Dog In The Manger (1996 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": "Houston, Texas",
"style": "rule"
} | {
"index": 3417,
"need_tools_kwargs": true,
"question": "Where was the performer of song Ave Maria (Beyoncé Song) 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": "10 August 1960",
"style": "rule"
} | {
"index": 3418,
"need_tools_kwargs": true,
"question": "When did the director of film An International Marriage 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": "Edwin Finley Taliaferro",
"style": "rule"
} | {
"index": 3419,
"need_tools_kwargs": true,
"question": "What is the given name of the Jackson, Mississippi mayor succeeded by Tony Yarber?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3420,
"need_tools_kwargs": true,
"question": "Are Liisa Savolainen and Gerardo Lugo 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": "Onika Tanya Maraj",
"style": "rule"
} | {
"index": 3421,
"need_tools_kwargs": true,
"question": "The Pinkprint Tour was created by which rapper and 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": "16",
"style": "rule"
} | {
"index": 3422,
"need_tools_kwargs": true,
"question": "Let $S_{1}, S_{2}, \\ldots, S_{10}$ be the first ten terms of an arithmetic progression (A.P.) of positive integers. If $S_{1} + S_{2} + \\ldots + S_{10} = 55$ and $\\left(S_{10} - S_{8}\\right) + \\left(S_{9} - S_{7}\\right) + \\ldots + \\left(S_{3} - S_{1... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "$\\frac{14}{13}$",
"style": "rule"
} | {
"index": 3423,
"need_tools_kwargs": true,
"question": "Let $A B C$ be a triangle with $A B=23, B C=24$, and $C A=27$. Let $D$ be the point on segment $A C$ such that the incircles of triangles $B A D$ and $B C D$ are tangent. Determine the ratio $C D / D A$.",
"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... | qa | {
"ground_truth": "18 November 1888",
"style": "rule"
} | {
"index": 3424,
"need_tools_kwargs": true,
"question": "When is the director of film Love And Deficit '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": "1200",
"style": "rule"
} | {
"index": 3425,
"need_tools_kwargs": true,
"question": "Arrange 3 boys and 4 girls in a row. Calculate the number of different arrangements under the following conditions:\n(1) Person A and Person B must stand at the two ends; \n(2) All boys must stand together; \n(3) No two boys stand next to each other; \n(... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3426,
"need_tools_kwargs": true,
"question": "Were both Thomas Kelly (Sailor) and Funda Arar, born in the same place?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "60",
"style": "rule"
} | {
"index": 3427,
"need_tools_kwargs": true,
"question": "Find the largest possible value of \\( n \\) such that there exist \\( n \\) consecutive positive integers whose sum is equal to 2010.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Tom Berenger (born Thomas Michael Moore; May 31, 1949) is an American television and motion picture actor.",
"style": "rule"
} | {
"index": 3428,
"need_tools_kwargs": true,
"question": "What American actor starred in the 2002 television film about the Junction Boys and was nominated for the Academy Award for Best supporting Actor for his role as Staff Sergeant Bob Barnes in the movie 'Platoon'?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Exchange Theatre and the Royal Exchange Shopping Centre.",
"style": "rule"
} | {
"index": 3429,
"need_tools_kwargs": true,
"question": "What is included in the complex where the play Punk Rock was premiered?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3430,
"need_tools_kwargs": true,
"question": "How many polynomials of the form $x^5 + ax^4 + bx^3 + cx^2 + dx + 2020$, where $a$, $b$, $c$, and $d$ are real numbers, have the property that whenever $r$ is a root, so is $\\frac{-1+i\\sqrt{3}}{2} \\cdot r$? (Note that $i=\\sqrt{-1}$)\n$\\textbf{(A) } 0 \... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3431,
"need_tools_kwargs": true,
"question": "Which of the following numbers is closest to 10?\n(A) 1\n(B) 5\n(C) 8\n(D) 13\n(E) 19",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "30 May 2017",
"style": "rule"
} | {
"index": 3432,
"need_tools_kwargs": true,
"question": "When did the director of film Bangaru Kutumbam 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": "107.0",
"style": "rule"
} | {
"index": 3433,
"need_tools_kwargs": true,
"question": "What Mozilla Firefox release version included the patch note: \"Improved the performance of the instance when Microsoft's IME and Defender retrieve the URL of a focused document in Windows 11 version 22H2\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{9}{2}",
"style": "rule"
} | {
"index": 3434,
"need_tools_kwargs": true,
"question": "Let $R$ be the region in the Cartesian plane of points $(x,y)$ satisfying $x\\geq 0$ , $y\\geq 0$ , and $x+y+\\lfloor x\\rfloor+\\lfloor y\\rfloor\\leq 5$ . Determine the area of $R$ .",
"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... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": 3435,
"need_tools_kwargs": true,
"question": "A rectangle with a perimeter of 96 cm is divided by eight vertical cuts and eleven horizontal cuts into 108 identical smaller rectangles. What is the perimeter of each smaller rectangle if the sum of the lengths of all the cuts is 438 cm?",
"split": "trai... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "15 December 1935",
"style": "rule"
} | {
"index": 3436,
"need_tools_kwargs": true,
"question": "What is the date of birth of Per Ø. Grimstad's wife?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3437,
"need_tools_kwargs": true,
"question": "Do Jim De Booy and Michael Darling (Field Hockey) 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": "13 July 1402",
"style": "rule"
} | {
"index": 3438,
"need_tools_kwargs": true,
"question": "What is the date of death of Empress Ma (Jianwen)'s husband?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "a_n = 2n - 1",
"style": "rule"
} | {
"index": 3439,
"need_tools_kwargs": true,
"question": "In the sequence $\\{a_n\\}$, it is known that $a_1=1$, and the point $(a_n, a_{n+1})$ lies on the line $x-y+2=0$. Find the general formula for $a_n$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0",
"style": "rule"
} | {
"index": 3440,
"need_tools_kwargs": true,
"question": "已知抛物线 $\\Omega: y=x^{2}$, 动线段 $A B$ 在直线 $y=\\sqrt{3} x-3$ 上 ( $B$ 在 $A$ 右侧), 且 $|A B|=2 \\sqrt{3}$. 过 $A$ 作 $\\Omega$的切线, 取左边的切点为 $M$. 过 $B$ 作 $\\Omega$ 的切线, 取右边的切点为 $N$. 当 $M N / / A B$ 时, 求点 $A$ 的横坐标.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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\\sqrt{3}R^3",
"style": "rule"
} | {
"index": 3441,
"need_tools_kwargs": true,
"question": "Describe a regular tetrahedron around a sphere of radius \\(R\\) and find its volume.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3442,
"need_tools_kwargs": true,
"question": "Distinct lines \\( \\ell \\) and \\( m \\) lie in the \\( xy \\)-plane and intersect at the origin. The equation of line \\( \\ell \\) is given by \\( 3x + 4y = 0 \\). A point \\( Q(-2, 3) \\) is reflected about line \\( \\ell \\) to obtain point \\( Q' \\)... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "3963",
"style": "rule"
} | {
"index": 3443,
"need_tools_kwargs": true,
"question": "If it costs two cents for each plastic digit used to number each locker and it costs $294.94 to label all lockers up to a certain number, calculate the highest locker number labeled.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3444,
"need_tools_kwargs": true,
"question": "An isosceles trapezoid has two rows of small identical isosceles triangles drawn along its top and bottom bases. Each small isosceles triangle has an area of 1. Find the area of the entire isosceles trapezoid.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "British",
"style": "rule"
} | {
"index": 3445,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song Orange Sky (Song)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1864",
"style": "rule"
} | {
"index": 3446,
"need_tools_kwargs": true,
"question": "When was the first store of the chain which the Wales National Ice Rink was demolished to make room for opened?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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, 1995",
"style": "rule"
} | {
"index": 3447,
"need_tools_kwargs": true,
"question": "What is the date of death of the performer of song Missing My Baby?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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+2\\sqrt{3}",
"style": "rule"
} | {
"index": 3448,
"need_tools_kwargs": true,
"question": "(Optional Course 4-4: Coordinate Systems and Parametric Equations)\nGiven that line $l$ passes through point $P(-1,2)$ with an angle of inclination of $\\frac{2π}{3}$, and the equation of a circle is given by $p=2\\cos\\left(θ+\\frac{π}{3}\\right)$.\n(1) Fi... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3449,
"need_tools_kwargs": true,
"question": "Are both villages, Cherkasovka and Deh-E Ahmad, Kohgiluyeh And Boyer-Ahmad, 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": "8",
"style": "rule"
} | {
"index": 3450,
"need_tools_kwargs": true,
"question": "Let $p(x)$ have a domain of $\\{-2, -1, 0, 1\\}$ and range of $\\{-1, 1, 3, 5\\}$. The function $q(x)$ has a domain of $\\{0, 1, 2, 3, 4\\}$ and is defined by $q(x) = x + 2$. Calculate the sum of all possible values of $q(p(x))$.",
"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": "100000",
"style": "rule"
} | {
"index": 3451,
"need_tools_kwargs": true,
"question": "A certain state issues license plates consisting of six digits (from 0 to 9). The state requires that any two license plates differ in at least two places. Determine, with proof, the maximum number of distinct license plates that the state can use.",
"spl... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Mason",
"style": "rule"
} | {
"index": 3452,
"need_tools_kwargs": true,
"question": "Who is the spouse of the director of film Society Girl (1932 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": "\\frac{1}{17}",
"style": "rule"
} | {
"index": 3453,
"need_tools_kwargs": true,
"question": "If for any $x \\in A$, $\\frac{1}{x} \\in A$, then $A$ is called a \"harmonic\" set. Then, among all non-empty subsets of the set $$M=\\{-1, 0, \\frac{1}{3}, \\frac{1}{2}, 1, 2, 3, 4\\}$$, the probability of being a \"harmonic\" set is ( )\nA: $$\\frac{1}... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3454,
"need_tools_kwargs": true,
"question": "In the game \"set,\" all possible four-digit numbers consisting of the digits 1, 2, and 3 (each digit used exactly once) participate. A triplet of numbers is said to form a set if, for each digit position, either all three numbers have the same digit, or al... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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",
"style": "rule"
} | {
"index": 3455,
"need_tools_kwargs": true,
"question": "对正整数 \\( n \\)，用 \\( a_n \\) 表示三边均为整数且最长边为 \\( 2n \\) 的三角形的个数。\n(1) 求 \\( a_n \\) 关于 \\( n \\) 的表达式，并计算当 \\( n=1 \\) 时该表达式的值。\n(2) 设数列 \\(\\{b_n\\}\\) 满足：对任意正整数 \\( n \\)，\\(\\sum_{k=1}^{n}(-1)^{n-k}\\text{C}_n^k b_k = a_n\\)。求使得 \\( b_n \\leq 2019a_n \\) 的... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Westminster Abbey",
"style": "rule"
} | {
"index": 3456,
"need_tools_kwargs": true,
"question": "Where was the place of burial of Eleanor Of Castile's husband?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3457,
"need_tools_kwargs": true,
"question": "Janice works at a convenience store where her schedule fluctuates. She has to work 5 to 6 days per week with varying hours per day and can earn $30 per day if she works 5 hours. When she works more than 5 hours, she earns an additional hourly rate: $10 per ... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Sol Rosenberg",
"style": "rule"
} | {
"index": 3458,
"need_tools_kwargs": true,
"question": "Who was born in 1926 and survived a camp 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": "Yes",
"style": "rule"
} | {
"index": 3459,
"need_tools_kwargs": true,
"question": "Does the Polygon article on 'Spider-Man: Across the Spider-Verse' suggest the presence of a multiverse of Spider-themed characters, as does the Polygon article on 'Spider-Man 2 (game)' imply the inclusion of multiple Spider-Men stories?",
"split": "train"... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{x - 1}{x}",
"style": "rule"
} | {
"index": 3460,
"need_tools_kwargs": true,
"question": "Given the function \\( f(x) = \\frac{1+x}{2-x} \\), and for \\( n \\in \\mathbf{N}_{+} \\), define \\( f_{1}(x) = f(x) \\) and \\( f_{n+1}(x) = f\\left[f_{n}(x)\\right] \\). If \\( f_{13}(x) = f_{31}(x) \\), what is the expression for \\( f_{16}(x) \\)?",
... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "22",
"style": "rule"
} | {
"index": 3461,
"need_tools_kwargs": true,
"question": "How many three-digit numbers have digits whose sum is a perfect square between 10 and 27, inclusive?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3462,
"need_tools_kwargs": true,
"question": "Were both Bill Malarkey Mhk and Silas Gnaka, born in the same place?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Ford Bronco",
"style": "rule"
} | {
"index": 3463,
"need_tools_kwargs": true,
"question": "What car was the predecessor of the vehicle that the Lincoln car larger than the Lincoln MKT was based 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... | math | {
"ground_truth": "240",
"style": "rule"
} | {
"index": 3464,
"need_tools_kwargs": true,
"question": "How many diagonals in a regular 32-gon are not parallel to any of its sides?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Edward Robinson",
"style": "rule"
} | {
"index": 3465,
"need_tools_kwargs": true,
"question": "What was the first and last name of the third director of the Metropolitan Museum of Art?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "20 February 1958",
"style": "rule"
} | {
"index": 3466,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Somewhere In Politics?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1991",
"style": "rule"
} | {
"index": 3467,
"need_tools_kwargs": true,
"question": "In what year was the album that with \"Siamese Dream\" made up the collection of B-sides and rarities for the album \"Pisces Iscariot\" released?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1943",
"style": "rule"
} | {
"index": 3468,
"need_tools_kwargs": true,
"question": "The army officer who comitted a murder in 1970 at fort bragg was born on which year ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Vision of Love",
"style": "rule"
} | {
"index": 3469,
"need_tools_kwargs": true,
"question": "Cory Rooney wrote, produced, and developed many successful songs and careers for this American singer, songwriter, record producer, and actress who rose to fame in 1990 with the release of which album?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "25\\sqrt{2}-23",
"style": "rule"
} | {
"index": 3470,
"need_tools_kwargs": true,
"question": "Consider an equiangular hexagon \\(ABCDEF\\) that inscribes a square \\(MNPQ\\). The point \\(M\\) lies on side \\(\\overline{BC}\\), point \\(N\\) lies on side \\(\\overline{DE}\\), and point \\(P\\) lies on side \\(\\overline{EF}\\). Given that the length... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\textcolor{green!50!black}{True}",
"style": "rule"
} | {
"index": 3471,
"need_tools_kwargs": true,
"question": "I could ask any guest in the castle a question that would inevitably make them answer \"ball\".",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "0.25",
"style": "rule"
} | {
"index": 3472,
"need_tools_kwargs": true,
"question": "Let $S$ be the set of all nonzero real numbers. Let $f : S \\to S$ be a function such that\n\\[f(x) + f(y) = f(xyf(x + y))\\]for all $x,$ $y \\in S$ such that $x + y \\neq 0.$\n\nLet $n$ be the number of possible values of $f(4),$ and let $s$ be the sum o... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "poker player",
"style": "rule"
} | {
"index": 3473,
"need_tools_kwargs": true,
"question": " Cat Run 2 is a 2014 direct-to-video American comedy action film starring an American professional 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": 3474,
"need_tools_kwargs": true,
"question": "Are The New Hotel and Get That Venus 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": "Albany City Hall",
"style": "rule"
} | {
"index": 3475,
"need_tools_kwargs": true,
"question": "What building did Philip Hooker work on that has a 202 ft tall tower at its southwest corner?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Thomas Earl Petty",
"style": "rule"
} | {
"index": 3476,
"need_tools_kwargs": true,
"question": "Which musician was born first, George Michael or Tom Petty?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"index": 3477,
"need_tools_kwargs": true,
"question": "Triangle $ABC$ is an isosceles right triangle with $AB=AC=3$. Let $M$ be the midpoint of hypotenuse $\\overline{BC}$. Points $I$ and $E$ lie on sides $\\overline{AC}$ and $\\overline{AB}$, respectively, so that $AI>AE$ and $AIME$ is a cyclic quadrilateral. ... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3478,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, the sides opposite to angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively. Given that $(a^2+c^2-b^2)\\tan B=\\sqrt{3}(b^2+c^2-a^2)$,\n\n1. Find the measure of angle $A$.\n2. If $a=2$, determine the shape of $\\triangle ABC$ when... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Fernando Sermei",
"style": "rule"
} | {
"index": 3479,
"need_tools_kwargs": true,
"question": "Who was the father of the artist from a town and \"comune\" of Italy in the Province of Perugia in the Umbria region who learned to paint in the workshop of Cesare Nebbia, primarily moving between Orvieto and Rome ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{5}",
"style": "rule"
} | {
"index": 3480,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=(x-a)^{2}+(2\\ln x-2a)^{2}$, where $x > 0, a \\in \\mathbb{R}$, find the value of the real number $a$ such that there exists $x_{0}$ such that $f(x_{0}) \\leqslant \\frac{4}{5}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Thor Støre",
"style": "rule"
} | {
"index": 3481,
"need_tools_kwargs": true,
"question": "Who lived longer, Dalbir Bindra or Thor Støre?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3482,
"need_tools_kwargs": true,
"question": "A dandelion blooms in the morning, remains yellow for three days, turns white on the fourth morning, and sheds its seeds by the evening of the fifth day. On Monday afternoon, there were 20 yellow and 14 white dandelions in the meadow. On Wednesday, there we... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "-\\dfrac{3}{4}",
"style": "rule"
} | {
"index": 3483,
"need_tools_kwargs": true,
"question": "Simplify and then evaluate: $\\left(\\dfrac{2}{a-1}-\\dfrac{1}{a}\\right)\\div \\dfrac{a^{2}+a}{a^{2}-2a+1}$, where $a=-2$.",
"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": "Vyborg",
"style": "rule"
} | {
"index": 3484,
"need_tools_kwargs": true,
"question": "Where did the director of film We'Ll Live Till Monday 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": "rule of three",
"style": "rule"
} | {
"index": 3485,
"need_tools_kwargs": true,
"question": "What writing principle is relevant in a novel with Allison Gross?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Tragedy",
"style": "rule"
} | {
"index": 3486,
"need_tools_kwargs": true,
"question": "What form of drama based on human suffering was added to Gilmore Girls by Amy Sherman-Palladino?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Ernst & Young",
"style": "rule"
} | {
"index": 3487,
"need_tools_kwargs": true,
"question": "What multinational professional services firm, headquartered in London, England, is one of the \"Big Four\" accounting firms and is also a tenant in InfoPark, Kochi?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "5427",
"style": "rule"
} | {
"index": 3488,
"need_tools_kwargs": true,
"question": "A very large number of small particles forms a spherical cloud. Initially, they are at rest, have uniform mass density per unit volume $\\rho_0$, and occupy a region of radius $r_0$. The cloud collapses due to gravitation; the particles do not interact with... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1176",
"style": "rule"
} | {
"index": 3489,
"need_tools_kwargs": true,
"question": "Six different small books and three different large books are placed on a shelf. Three children can each choose either two small books or one large book. Determine the number of ways the three children can select their 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": "7.63",
"style": "rule"
} | {
"index": 3490,
"need_tools_kwargs": true,
"question": "two trains 121 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 55 kmph . in what time will they be completely clear of each other from the moment they meet ?",
"split"... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Richard Andrew Gephardt",
"style": "rule"
} | {
"index": 3491,
"need_tools_kwargs": true,
"question": "Which House Majority Leader from 1989 to 1995 did Donald J. Gralike lose to in 1976?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{7}{12}",
"style": "rule"
} | {
"index": 3492,
"need_tools_kwargs": true,
"question": "A spinner was created by drawing five radii from the center of a circle. The first four radii divide the circle into four equal wedges. The fifth radius divides one of the wedges into two parts, one having twice the area of the other. The five wedges are la... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Cy Coleman",
"style": "rule"
} | {
"index": 3493,
"need_tools_kwargs": true,
"question": "Originally born Seymour Kaufman, who helped create the musical revue Diamonds?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Stagecoach War",
"style": "rule"
} | {
"index": 3494,
"need_tools_kwargs": true,
"question": "Which film whose director was born first, Holy God, Here Comes The Passatore! or Stagecoach War?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Cam Ford",
"style": "rule"
} | {
"index": 3495,
"need_tools_kwargs": true,
"question": "Who worked with animation producer George Dunning and worked as Eric Porter's animation director?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-1",
"style": "rule"
} | {
"index": 3496,
"need_tools_kwargs": true,
"question": "\"Classification discussion\" is an important mathematical thinking method. The following is the process of solving problems using the mathematical thinking of classification discussion. Please read carefully and answer the three questions raised after the ... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "filmmaker",
"style": "rule"
} | {
"index": 3497,
"need_tools_kwargs": true,
"question": "What profession is shared by Paul Thomas Anderson and Russell DeGrazier?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3498,
"need_tools_kwargs": true,
"question": "The Brazilian IMO leader chooses two natural numbers \\( n \\) and \\( k \\) with \\( n > k \\), and tells these numbers to his Deputy and a participant. Then, the leader whispers a binary sequence of length \\( n \\) into the Deputy's ear. The Deputy write... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "26",
"style": "rule"
} | {
"index": 3499,
"need_tools_kwargs": true,
"question": "Each of two boxes contains both black and white marbles, and the total number of marbles in the two boxes is $25.$ One marble is taken out of each box randomly. The probability that both marbles are black is $27/50,$ and the probability that both marbles ar... | null |
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