data_source stringclasses 1
value | prompt listlengths 2 2 | ability stringclasses 2
values | reward_model dict | extra_info dict | metadata null |
|---|---|---|---|---|---|
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1967",
"style": "rule"
} | {
"index": 3800,
"need_tools_kwargs": true,
"question": "In what year did the band behind Catfish Rising form?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}}{2}",
"style": "rule"
} | {
"index": 3801,
"need_tools_kwargs": true,
"question": "The diagonals of a regular hexagon have two possible lengths. What is the ratio of the shorter length to the longer length? Express your answer as a common fraction in simplest radical form.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Vladimir Vladimirovich Putin",
"style": "rule"
} | {
"index": 3802,
"need_tools_kwargs": true,
"question": "Yury Mukhin is against which Russian President?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Girl In 313",
"style": "rule"
} | {
"index": 3803,
"need_tools_kwargs": true,
"question": "Which film has the director who died earlier, Girl In 313 or Portuguese Rhapsody?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3804,
"need_tools_kwargs": true,
"question": "A, B, and C enter into a partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after a certain period. The annual gain is Rs. 18,900. A's share is Rs. 6,300. After how many months does C invest?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3805,
"need_tools_kwargs": true,
"question": "Let $Q$ be a polynomial \\[Q(x)=a_0+a_1x+\\cdots+a_nx^n,\\] where $a_0,\\ldots,a_n$ are nonnegative integers. Given that $Q(1)=4$ and $Q(5)=152$, find $Q(6)$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Make it hard",
"style": "rule"
} | {
"index": 3806,
"need_tools_kwargs": true,
"question": "What is the name of Helmut Lang's solo exhibition from 2011 in East Hampton?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "July 20, 2008",
"style": "rule"
} | {
"index": 3807,
"need_tools_kwargs": true,
"question": "When did the founder of Locus Computing Corporation die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "42",
"style": "rule"
} | {
"index": 3808,
"need_tools_kwargs": true,
"question": "Given $f(x) = (x^2 - 4)(x - a)$, where $a \\in \\mathbb{R}$. \n(1) Find $f'(x)$. \n(2) If $f'(-1) = 0$, find the maximum value of $f(x)$ on the interval $[-2, 4]$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"index": 3809,
"need_tools_kwargs": true,
"question": "What is the quadratic equation whose solutions have a product of 20?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3810,
"need_tools_kwargs": true,
"question": "Are director of film Gaijin 2: Love Me As I Am and director of film Goofs And Saddles both from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "x' - 2y' + 4 = 0",
"style": "rule"
} | {
"index": 3811,
"need_tools_kwargs": true,
"question": "Given that a second-order matrix $M$ has an eigenvalue $\\lambda = 8$ and a corresponding eigenvector $\\overrightarrow{e_{1}} = \\begin{bmatrix} 1 \\\\ 1\\end{bmatrix}$, and the matrix $M$ transforms the point $(-1, 3)$ into $(0, 8)$.\n(1) Find the matrix $M$;\n(2) Find the equation of the new curve under the transformation by $M$, for the curve $x + 3y - 2 = 0$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "45",
"style": "rule"
} | {
"index": 3812,
"need_tools_kwargs": true,
"question": "A certain organism starts with five cells. Each cell divides into three new cells at the end of every three days. This process continues for a total of 9 days, and no cells die during this time. How many cells are there at the end of the $9^\\text{th}$ day?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 3813,
"need_tools_kwargs": true,
"question": "Do both films Tom, Dick And Harry (1941 Film) and Zardoz 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... | math | {
"ground_truth": "2048",
"style": "rule"
} | {
"index": 3814,
"need_tools_kwargs": true,
"question": "删去正整数数列 $1,2,3, \\cdots \\cdots$ 中的所有完全平方数, 得到一个新数列。求这个数列的第 2003 项。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3815,
"need_tools_kwargs": true,
"question": "When $12^4$ is written out in base 10, the sum of its digits is $34$. What is the largest base $b$ such that the base-$b$ digits of $12^4$ do not add up to $34$?",
"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... | qa | {
"ground_truth": "Los Angeles",
"style": "rule"
} | {
"index": 3816,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film The Heart Of Broadway?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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",
"style": "rule"
} | {
"index": 3817,
"need_tools_kwargs": true,
"question": "Alice starts with the number 0. She can apply 100 operations on her number. In each operation, she can either add 1 to her number, or square her number. After applying all operations, her score is the minimum distance from her number to any perfect square. What is the maximum score she can attain?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Lord Willoughby de Eresby",
"style": "rule"
} | {
"index": 3818,
"need_tools_kwargs": true,
"question": "What did Philip Bertie's father style from 1642 to 1666",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3819,
"need_tools_kwargs": true,
"question": "Steven the troll submits problems using silly names instead of his own. On day $1$, he gives no name at all. Every subsequent day, he alternates between adding $2$ words and $4$ words to his name. For example, on day $4$, he submits an $8\\text{-word}$ name. On day $n$, he submits a $44\\text{-word}$ name: \"Steven the AJ Dennis the DJ Menace the Prince of Tennis the Merchant of Venice the Hygienist the Evil Dentist the Major Premise the AJ Lettuce the Novel’s Preface the Core Essence the Young and the Reckless the Many Tenants the Deep, Dark Crevice\". Compute $n$.",
"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": "2\\sqrt{41}",
"style": "rule"
} | {
"index": 3820,
"need_tools_kwargs": true,
"question": "The focal length of the hyperbola $\\frac{x^2}{16} - \\frac{y^2}{25} = 1$ is\n\nA: 3 \nB: 6 \nC: $\\sqrt{41}$ \nD: $2\\sqrt{41}$",
"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{3}{20}",
"style": "rule"
} | {
"index": 3821,
"need_tools_kwargs": true,
"question": "Bushes of two varieties of tomato seedlings are randomly mixed: 9 bushes of the \"Beliy Naliv\" variety and 7 bushes of the \"Verlioka\" variety. Find the probability that the first three consecutively planted bushes are seedlings of the \"Beliy Naliv\" variety.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Carlos Ashley Raphael Barât",
"style": "rule"
} | {
"index": 3822,
"need_tools_kwargs": true,
"question": "Which musician was a co-frontman with Pete Doherty, Dave Mustaine or Carl Barât (please answer with full name)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\tan A = \\frac{\\sqrt{3}}{3}",
"style": "rule"
} | {
"index": 3823,
"need_tools_kwargs": true,
"question": "In triangle $\\triangle ABC$, where the sides opposite to the angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively, given that $\\frac{a}{b} = \\frac{b + \\sqrt{3}c}{a}$ and $\\sin C = 2\\sqrt{3}\\sin B$, find the value of $\\tan A$.",
"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": "1.355",
"style": "rule"
} | {
"index": 3824,
"need_tools_kwargs": true,
"question": "Compute $\\tan 10^\\circ + 4 \\sin 10^\\circ.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3825,
"need_tools_kwargs": true,
"question": "Five balls are arranged around a circle. Chris chooses two adjacent balls at random and interchanges them. Then Silva does the same, with her choice of adjacent balls to interchange being independent of Chris's. If the expected number of balls that occupy their original positions after these two successive transpositions is \\( x \\), find the value of \\( 10x \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "T > 2",
"style": "rule"
} | {
"index": 3826,
"need_tools_kwargs": true,
"question": "Let\n\\[T=\\frac{1}{3-\\sqrt{8}}-\\frac{1}{\\sqrt{8}-\\sqrt{7}}+\\frac{1}{\\sqrt{7}-\\sqrt{6}}-\\frac{1}{\\sqrt{6}-\\sqrt{5}}+\\frac{1}{\\sqrt{5}-2}.\\]\nThen\n$\\mathrm{(A)\\ } T<1 \\qquad \\mathrm{(B) \\ }T=1 \\qquad \\mathrm{(C) \\ } 1<T<2 \\qquad \\mathrm{(D) \\ } T>2 \\qquad$\n$\\mathrm{(E) \\ }T=\\frac{1}{(3-\\sqrt{8})(\\sqrt{8}-\\sqrt{7})(\\sqrt{7}-\\sqrt{6})(\\sqrt{6}-\\sqrt{5})(\\sqrt{5}-2)}$",
"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": "writer, producer and director",
"style": "rule"
} | {
"index": 3827,
"need_tools_kwargs": true,
"question": "Peter Jackson and Pam Veasey, have which mutual occupations?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Joseph Merrick",
"style": "rule"
} | {
"index": 3828,
"need_tools_kwargs": true,
"question": "Pat Gorman was in the 1980 American historical drama film about whom?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1-\\dfrac{1}{e}",
"style": "rule"
} | {
"index": 3829,
"need_tools_kwargs": true,
"question": "Given the function $f\\left(x\\right)=x-{e}^{-x}$, if the line $y=mx+n$ is a tangent line to the curve $y=f\\left(x\\right)$, find the minimum value of $m+n$. The options are:\nA: $-\\dfrac{1}{e}$\nB: $1$\nC: $1-\\dfrac{1}{e}$\nD: $1+\\dfrac{1}{{e}^{3}}$",
"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... | math | {
"ground_truth": "(0,1)",
"style": "rule"
} | {
"index": 3830,
"need_tools_kwargs": true,
"question": "Let the function $f(x) = $, and $g(x) = x^2f(x-1)$, \nthen the decreasing interval of the function $g(x)$ is \\_\\_\\_\\_\\_\\_\\_\\_",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "42",
"style": "rule"
} | {
"index": 3831,
"need_tools_kwargs": true,
"question": "The numbers \\( p \\) and \\( q \\) are chosen such that the parabola \\( y = p x - x^2 \\) intersects the hyperbola \\( x y = q \\) at three distinct points \\( A, B, \\) and \\( C \\). The sum of the squares of the sides of triangle \\( ABC \\) is 324, and the intersection point of its medians is at a distance of 2 from the origin. Find the product \\( pq \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3832,
"need_tools_kwargs": true,
"question": "Link is coloring a triforce, which consists of four equilateral triangles and is depicted below. He has three colors to use: gold, black, and green. So that it remains recognizable, he doesn't want to color any two triangles the same color if they share a side. How many different ways can he color the triforce? (Two colorings that differ by rotation are considered distinct.) [asy]\nsize(50);\ndraw((0,0)--(2,0)--(1,1.732)--cycle);\ndraw((1,0)--(1.5,.866)--(.5,.866)--cycle);\n[/asy]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "243",
"style": "rule"
} | {
"index": 3833,
"need_tools_kwargs": true,
"question": "Grandma Olga has 6 daughters and 5 sons. If all her daughters each have 10 sons, 9 daughters, and 4 step-children (2 sons and 2 daughters), and each of her sons has 8 daughters, 7 sons, and 3 in-laws (who have an additional 2 children each, 1 son and 1 daughter), how many grandchildren and extended family members does she have in total?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Palatine",
"style": "rule"
} | {
"index": 3834,
"need_tools_kwargs": true,
"question": "The Discovery is an album by the band formed in what Chicago suburb?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3835,
"need_tools_kwargs": true,
"question": "After a soccer match, the coach lined up the team as shown in the picture and commanded: \"Go to the locker room if your number is less than any of your neighbors.\" After several players left, he repeated his command. The coach continued until only one player remained. What is Igor's number if it is known that after he left, there were 3 people left in the lineup? (After each command, one or several players left, and the lineup closed the gaps so there were no empty spots between remaining players.)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "y = \\frac{2}{3} x",
"style": "rule"
} | {
"index": 3836,
"need_tools_kwargs": true,
"question": "Find the equation of the tangent line to the given curve at the point with abscissa \\( x_{0} \\).\n\n\\[ y = 6 \\sqrt[3]{x} - \\frac{16 \\sqrt[4]{x}}{3}, \\quad x_{0} = 1 \\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "196",
"style": "rule"
} | {
"index": 3837,
"need_tools_kwargs": true,
"question": "Nicole collected 500 Pokemon cards. Cindy collected 25% more than twice the amount of Nicole's cards, and Rex collected 2/3 of Nicole and Cindy's combined total. If Rex divided his cards equally among himself and his five younger siblings, how many cards does Rex have left?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "33\\sin70",
"style": "rule"
} | {
"index": 3838,
"need_tools_kwargs": true,
"question": "In quadrilateral \\(ABCD\\), the measures of angles \\(B\\) and \\(C\\) are both \\(110^\\circ\\). The lengths of the sides are given as \\(AB = 4\\), \\(BC = 6\\), and \\(CD = 7\\). Calculate the area of quadrilateral \\(ABCD\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "55",
"style": "rule"
} | {
"index": 3839,
"need_tools_kwargs": true,
"question": "How many years did Magen Fieramusca receive for killing Heidi Broussard?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "x = 1",
"style": "rule"
} | {
"index": 3840,
"need_tools_kwargs": true,
"question": "Let $n$ be a natural number. Find all real numbers $x$ satisfying the equation $$ \\sum^n_{k=1}\\frac{kx^k}{1+x^{2k}}=\\frac{n(n+1)}4. $$ ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-6x^2+36x-48",
"style": "rule"
} | {
"index": 3841,
"need_tools_kwargs": true,
"question": "Give an example of a quadratic function that has zeroes at $x=2$ and $x=4$, and that takes the value $6$ when $x=3$.\n\nEnter your answer in the expanded form \"ax^2 + bx + c\", where a,b,c are replaced by appropriate numbers.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 3842,
"need_tools_kwargs": true,
"question": "Do director of film Urban Explorer and director of film Trail of the Mounties have the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "125",
"style": "rule"
} | {
"index": 3843,
"need_tools_kwargs": true,
"question": "Given that the function $g(x)$ satisfies\n\\[ g(x + g(x)) = 5g(x) \\]\nfor all $x$, and $g(1) = 5$. Find $g(26)$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3844,
"need_tools_kwargs": true,
"question": "Do both Murder Most Foul and Who's the Caboose? 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... | math | {
"ground_truth": "13",
"style": "rule"
} | {
"index": 3845,
"need_tools_kwargs": true,
"question": "Schools A and B are having a sports competition with three events. In each event, the winner gets 10 points and the loser gets 0 points, with no draws. The school with the highest total score after the three events wins the championship. It is known that the probabilities of school A winning the three events are 0.5, 0.4, and 0.8, respectively, and the results of each event are independent.<br/>$(1)$ Find the probability of school A winning the championship;<br/>$(2)$ Let $X$ represent the total score of school B, find the probability distribution and expectation of $X$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{\\cos \\alpha}{\\sin^4 \\frac{\\alpha}{2}}",
"style": "rule"
} | {
"index": 3846,
"need_tools_kwargs": true,
"question": "A sphere is inscribed in a cone, and a tangent plane is drawn to the sphere, parallel to the base plane of the cone. In what ratio does this plane divide the lateral surface of the cone, if the angle between the generatrix and the base plane is $\\alpha$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "11",
"style": "rule"
} | {
"index": 3847,
"need_tools_kwargs": true,
"question": "For all $n\\geq1$, let $$a_n=\\sum_{k=1}^{n-1}\\frac{\\sin\\left(\\frac{(2k-1)\\pi}{2n}\\right)}{\\cos^2\\left(\\frac{(k-1)\\pi}{2n}\\right)\\cos^2\\left(\\frac{k\\pi}{2n}\\right)}.$$ Determine $$\\lim_{n\\to\\infty}\\frac{a_n}{n^3}.$$ The original answer is in the format $\\frac{m}{\\pi^{n}}$. Please provide the value of m + 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": "English",
"style": "rule"
} | {
"index": 3848,
"need_tools_kwargs": true,
"question": "The Freddie Mercury Tribute Concert was the final full-length concert for the musician of what 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": "no",
"style": "rule"
} | {
"index": 3849,
"need_tools_kwargs": true,
"question": "Did Harry M. Mccaskrin and Samuel Hodgkinson share the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "300",
"style": "rule"
} | {
"index": 3850,
"need_tools_kwargs": true,
"question": "Petya's bank account contains $500. The bank allows only two types of transactions: withdrawing $300 or adding $198. What is the maximum amount Petya can withdraw from the account, if he has no other money?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2002",
"style": "rule"
} | {
"index": 3851,
"need_tools_kwargs": true,
"question": "Positive integers $a$, $b$, and $c$ are chosen so that $a<b<c$, and the system of equations\n\\[\n2x + y = 2004 \\quad\\text{and}\\quad y = |x-a| + |x-b| + |x-c|\n\\]\nhas exactly one solution. What is the minimum value of $c$?",
"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": "Cairo's Khedivial Opera House",
"style": "rule"
} | {
"index": 3852,
"need_tools_kwargs": true,
"question": "Where was the opera that Vladimir Galouzine was in that was first performed on 24 December 1871?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\$90.60",
"style": "rule"
} | {
"index": 3853,
"need_tools_kwargs": true,
"question": "Thomas buys a weight vest that weighed 60 pounds and worked well for him in the beginning. After a bit of training, he decides he wants to increase the weight by 60%. The weights come in 2-pound steel ingots. Each ingot costs $5, and there are several discounts and fees that apply:\n\n- If you buy 11 to 20 ingots, you get a 20% discount.\n- If you buy 21 to 30 ingots, you get a 25% discount.\n- If you buy more than 30 ingots, you get a 30% discount.\n\nAdditionally:\n\n- A 5% sales tax applies for purchases of up to 20 ingots.\n- A 3% sales tax applies for purchases of 21 to 30 ingots.\n- A 1% sales tax applies for purchases of more than 30 ingots.\n\nThere is also a shipping fee depending on the total weight of the ingots purchased:\n\n- If the total weight is 20 pounds or less, the shipping fee is $10.\n- If the total weight is between 21 and 40 pounds, the shipping fee is $15.\n- If the total weight is 41 pounds or more, the shipping fee is $20.\n\nConsidering the overall cost, including discounts, tax, and shipping fee, calculate how much it costs Thomas to get the additional weight he needs for his weight vest.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "August 19, 2010",
"style": "rule"
} | {
"index": 3854,
"need_tools_kwargs": true,
"question": "Whitney Avalon released her first parody as the send-up of the CeeLo Green song that was released on what date?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "310 mi",
"style": "rule"
} | {
"index": 3855,
"need_tools_kwargs": true,
"question": "How long, in miles, is the river that Benedict, Kansas is found along?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "And The Crows Will Dig Your Grave",
"style": "rule"
} | {
"index": 3856,
"need_tools_kwargs": true,
"question": "Which film has the director born first, Thoda Lutf Thoda Ishq or And The Crows Will Dig Your Grave?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "134",
"style": "rule"
} | {
"index": 3857,
"need_tools_kwargs": true,
"question": "Let the set $S = \\{P_1, P_2, \\dots, P_{12}\\}$ consist of the twelve vertices of a regular $12$-gon. A subset $Q$ of $S$ is called \"communal\" if there is a circle such that all points of $Q$ are inside the circle, and all points of $S$ not in $Q$ are outside of the circle. How many communal subsets are there? (Note that the empty set is a communal subset.)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3858,
"need_tools_kwargs": true,
"question": "Are both The Revenge Of Count Silvain and We'Re Talking Serious Money 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": "Douglas",
"style": "rule"
} | {
"index": 3859,
"need_tools_kwargs": true,
"question": "What is the place of birth of the composer of song I Was A Lover, A Leader Of Men?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "March 18, 1947",
"style": "rule"
} | {
"index": 3860,
"need_tools_kwargs": true,
"question": "What is the date of death of Cliff Durant's father?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "630",
"style": "rule"
} | {
"index": 3861,
"need_tools_kwargs": true,
"question": "Robert has 4 indistinguishable gold coins and 4 indistinguishable silver coins. Each coin has an engraving of one face on one side, but not on the other. He wants to stack the eight coins on a table into a single stack so that no two adjacent coins are face to face. Find the number of possible distinguishable arrangements of the 8 coins.\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": "Ford County",
"style": "rule"
} | {
"index": 3862,
"need_tools_kwargs": true,
"question": "The United Wireless Arena is located in what county?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{2}}",
"style": "rule"
} | {
"index": 3863,
"need_tools_kwargs": true,
"question": "Solve the equation: $\\log _{x} 2 \\cdot \\log _{2 x} 2=\\log _{4 x} 2$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1991",
"style": "rule"
} | {
"index": 3864,
"need_tools_kwargs": true,
"question": "Find the highest degree $k$ of $1991$ for which $1991^k$ divides the number \n\\[ 1990^{1991^{1992}} + 1992^{1991^{1990}}. \\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 3865,
"need_tools_kwargs": true,
"question": "Are both lakes, Playgreen Lake and Muskrat Lake, 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": "4",
"style": "rule"
} | {
"index": 3866,
"need_tools_kwargs": true,
"question": "$ABCDE$ is a regular pentagon. $AP$, $AQ$ and $AR$ are the perpendiculars dropped from $A$ onto $CD$, $CB$ extended and $DE$ extended, respectively. Let $O$ be the center of the pentagon. If $OP = 1$, then find $AO + AQ + AR$.\n\n[asy]\n\nunitsize(2 cm);\n\npair A, B, C, D, E, O, P, Q, R;\n\nA = dir(90);\n\nB = dir(90 - 360/5);\n\nC = dir(90 - 2*360/5);\n\nD = dir(90 - 3*360/5);\n\nE = dir(90 - 4*360/5);\n\nO = (0,0);\n\nP = (C + D)/2;\n\nQ = (A + reflect(B,C)*(A))/2;\n\nR = (A + reflect(D,E)*(A))/2;\n\ndraw((2*R - E)--D--C--(2*Q - B));\n\ndraw(A--P);\n\ndraw(A--Q);\n\ndraw(A--R);\n\ndraw(B--A--E);\n\nlabel(\"$A$\", A, N);\n\nlabel(\"$B$\", B, dir(0));\n\nlabel(\"$C$\", C, SE);\n\nlabel(\"$D$\", D, SW);\n\nlabel(\"$E$\", E, W);\n\ndot(\"$O$\", O, dir(0));\n\nlabel(\"$P$\", P, S);\n\nlabel(\"$Q$\", Q, dir(0));\n\nlabel(\"$R$\", R, W);\n\nlabel(\"$1$\", (O + P)/2, dir(0));\n\n[/asy]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "54600",
"style": "rule"
} | {
"index": 3867,
"need_tools_kwargs": true,
"question": "A market survey shows that the sales volume and price of a certain product in the past 50 days are functions of the sales time t(days), and the sales volume approximately satisfies f(t)=−2t+200(1≤t≤50,t∈N). The price for the first 30 days is g(x)=12t+30(1≤t≤30,t∈N), and for the last 20 days is g(t)=45(31≤t≤50,t∈N).\n(1) Write out the daily sales S of the product as a function of time t;\n(2) Find the maximum value of the daily sales 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": "Albert Gemmrich",
"style": "rule"
} | {
"index": 3868,
"need_tools_kwargs": true,
"question": "Who was born first out of Albert Gemmrich and Michal Rajčan?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "9 July 1940",
"style": "rule"
} | {
"index": 3869,
"need_tools_kwargs": true,
"question": "When were the Birthday Honours in respect to the King of the United Kingdom made?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "composer",
"style": "rule"
} | {
"index": 3870,
"need_tools_kwargs": true,
"question": "Béla Bartók and Charles Gounod were 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... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 3871,
"need_tools_kwargs": true,
"question": "Are both director of film Mahaprithibi and director of film Harvard Beats Yale 29-29 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": "B: 19, 12",
"style": "rule"
} | {
"index": 3872,
"need_tools_kwargs": true,
"question": "If the average of the samples $x_1+1$, $x_2+1$, $\\ldots$, $x_n+1$ is 9, and the variance is 3, then the average and variance of the samples $2x_1+3$, $2x_2+3$, $\\ldots$, $2x_n+3$ are ( )\nA: 23, 12\nB: 19, 12\nC: 23, 18\nD: 19, 18",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "5878",
"style": "rule"
} | {
"index": 3873,
"need_tools_kwargs": true,
"question": "Consider the sequence defined as follows: it starts with a $1$, followed by blocks of $3$s, where the $n^{th}$ block contains $n$ instances of $3$. For example, the sequence begins as $1, 3, 1, 3, 3, 1, 3, 3, 3, 1, \\ldots$. Calculate the sum of the first 2000 terms of this sequence.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2.41421356237307",
"style": "rule"
} | {
"index": 3874,
"need_tools_kwargs": true,
"question": "Given that \\( f(n) = \\sin \\frac{n \\pi}{4} \\), where \\( n \\) is an integer. If \\( c = f(1) + f(2) + \\ldots + f(2003) \\), find the value of \\( c \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\$240",
"style": "rule"
} | {
"index": 3875,
"need_tools_kwargs": true,
"question": "A jewelry store purchased a pair of earrings for some amount and was selling it at a price that equaled the purchase price of the earrings plus a markup that was 25 percent of the selling price. After some time, the jewelry store owner decided to decrease the selling price by 20 percent. The jewelry store's gross profit on this sale was $16. What was the original purchase price of the earrings?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 \\cos(2x)",
"style": "rule"
} | {
"index": 3876,
"need_tools_kwargs": true,
"question": "Given that \\((\\sin t)^{\\prime}=\\cos t\\), differentiate the function \\(y=\\sin 2x\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3877,
"need_tools_kwargs": true,
"question": "在平面直角坐标系中，双曲线 \\Gamma:x^2-y^2=1 的右顶点为 A。将圆心在 y 轴上，且与 \\Gamma 的两支各恰有一个公共点的圆称为\"好圆\"。若两个好圆外切于点 P，圆心距为 d，求 \\frac{d}{|PA|} 的所有可能的值。答案的形式为 k\\sqrt{m}，请给出 k+m 的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "AM = MN",
"style": "rule"
} | {
"index": 3878,
"need_tools_kwargs": true,
"question": "Let \\(ABCD\\) be a rectangle where \\(E\\) is the midpoint of side \\(BC\\) and points \\(F\\) and \\(G\\) on side \\(AB\\) are such that \\(AF = FG\\). Denote the intersection of line segments \\(EF\\) and \\(AC\\) as \\(M\\), and the intersection of line segments \\(CG\\) and \\(AD\\) as \\(N\\). Is it always true that \\(AM = MN\\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Rose Garden",
"style": "rule"
} | {
"index": 3879,
"need_tools_kwargs": true,
"question": "The southern terminus of North Williams Avenue is near an indoor sports arena formerly known as 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": "Reef Resort",
"style": "rule"
} | {
"index": 3880,
"need_tools_kwargs": true,
"question": "What is the name of the 28th song on the official CD release of Kirby Star Allies: The Original Soundtrack?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "New England National Scenic Trail",
"style": "rule"
} | {
"index": 3881,
"need_tools_kwargs": true,
"question": "The trail that is maintained largely through the efforts of the Connecticut Forest and Park Association is a part of what southern New England trail?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{1}{3}",
"style": "rule"
} | {
"index": 3882,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=\\sin^2x+\\sin x\\cos x$, when $x=\\theta$ the function $f(x)$ attains its minimum value, find the value of $\\dfrac{\\sin 2\\theta+2\\cos \\theta}{\\sin 2\\theta -2\\cos 2\\theta}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Dennis Kozlowski",
"style": "rule"
} | {
"index": 3883,
"need_tools_kwargs": true,
"question": "Who was both a benefactor for the University of Cambridge and also served more than six years at the Mid-State Correctional Facility in Marcy, New York?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Afghan refugees",
"style": "rule"
} | {
"index": 3884,
"need_tools_kwargs": true,
"question": "Tahir Shah was a maker of?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\forall x \\in \\mathbb{R}, x + 1 < 0",
"style": "rule"
} | {
"index": 3885,
"need_tools_kwargs": true,
"question": "The negation of the proposition \"$\\exists x \\in \\mathbb{R}, x + l \\geqslant 0$\" is $\\_\\_\\_\\_\\_\\_$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "30 May 2017",
"style": "rule"
} | {
"index": 3886,
"need_tools_kwargs": true,
"question": "When did the director of film Sivaranjani (1978 Film) die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{1}{2} - \\frac{1}{4e^{2}}",
"style": "rule"
} | {
"index": 3887,
"need_tools_kwargs": true,
"question": "Given the function $f(x) = \\frac{bx}{\\ln x} - ax$, where $e$ is the base of the natural logarithm.\n\n(1) If the equation of the tangent line to the graph of the function $f(x)$ at the point $({e}^{2}, f({e}^{2}))$ is $3x + 4y - e^{2} = 0$, find the values of the real numbers $a$ and $b$.\n\n(2) When $b = 1$, if there exist $x_{1}, x_{2} \\in [e, e^{2}]$ such that $f(x_{1}) \\leq f'(x_{2}) + a$ holds, find the minimum value of the real number $a$.",
"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": "no",
"style": "rule"
} | {
"index": 3888,
"need_tools_kwargs": true,
"question": "Are the directors of films Sky Hunter and The Catman of Paris 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": "India",
"style": "rule"
} | {
"index": 3889,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Khatta Meetha (2010 Film)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "27 April 1996",
"style": "rule"
} | {
"index": 3890,
"need_tools_kwargs": true,
"question": "When did the director of film Maigret Voit Rouge 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": "1886",
"style": "rule"
} | {
"index": 3891,
"need_tools_kwargs": true,
"question": "An American football player and coach who compiled a record of 116-119-7, served as head coach of a private four-year Christian-based college founded in what 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": "520 m",
"style": "rule"
} | {
"index": 3892,
"need_tools_kwargs": true,
"question": "What is the elevation of the birthplace of Oscar Castro Ramirez?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Deborah Van Valkenburgh",
"style": "rule"
} | {
"index": 3893,
"need_tools_kwargs": true,
"question": "What actress played in both Jackie Rush and Mean Guns?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3894,
"need_tools_kwargs": true,
"question": "在一次知识竞赛结束后，五位同学的部分答案是：\n同学甲：第三题是 A，第二题是 C\n同学乙：第四题是 D，第二题是 E\n同学丙：第一题是 D，第五题是 B\n同学丁：第四题是 $B$ ，第三题是 E\n同学戊：第二题是 A，第五题是 C\n结果他们的这些答案中各有一个答案正确。已知某个选项中的题目编号是正确的，请求出该选项中正确题目编号的和。答案应为x + y的形式。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 3895,
"need_tools_kwargs": true,
"question": "Given \\( A \\subseteq \\{1, 2, \\ldots, 25\\} \\) such that \\(\\forall a, b \\in A\\), \\(a \\neq b\\), then \\(ab\\) is not a perfect square. Find the maximum value of \\( |A| \\) and determine how many such sets \\( A \\) exist where \\( |A| \\) achieves this maximum value.\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": "0.380859375",
"style": "rule"
} | {
"index": 3896,
"need_tools_kwargs": true,
"question": "A food factory has made 4 different exquisite cards. Each bag of food produced by the factory randomly contains one card. If all 4 different cards are collected, a prize can be won. Xiaoming buys 6 bags of this food at once. What is the probability that Xiaoming will win the prize?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "108",
"style": "rule"
} | {
"index": 3897,
"need_tools_kwargs": true,
"question": "A tractor is dragging a very long pipe on sleds. Gavrila walked along the entire length of the pipe at a constant speed in the direction of the tractor's movement and counted 210 steps. When he walked in the opposite direction at the same speed, the number of steps was 100. What is the length of the pipe, if Gavrila's step is 80 cm? Round your answer to the nearest whole meter. The speed of the tractor is constant.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Greek extreme metal band",
"style": "rule"
} | {
"index": 3898,
"need_tools_kwargs": true,
"question": "What do both Aealo and Rotting Christ 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": "7 July 1307",
"style": "rule"
} | {
"index": 3899,
"need_tools_kwargs": true,
"question": "What is the date of death of Edmund Of Woodstock, 1St Earl Of Kent's father?",
"split": "train"
} | null |
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