data_source
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prompt
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reward_model
dict
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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 doe...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 ...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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?...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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. ...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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\" var...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "tr...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 t...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 \\mat...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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: $1+\\dfrac{1}{{e}^{3}}$", ...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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, an...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 s...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 daug...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 pla...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 do...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 th...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 $\\alpha$?",...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 i...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 disco...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 ou...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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);...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 2...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 t...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 value...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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| \\) achieve...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Xia...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 ...
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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