data_source stringclasses 1
value | prompt listlengths 2 2 | ability stringclasses 2
values | reward_model dict | extra_info dict | metadata null |
|---|---|---|---|---|---|
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "81",
"style": "rule"
} | {
"index": 6400,
"need_tools_kwargs": true,
"question": "Let \\( A \\) and \\( B \\) be two sets, and \\((A, B)\\) be called a \"pair\". If \\( A \\neq B \\), then \\((A, B)\\) and \\((B, A)\\) are considered different \"pairs\". Find the number of different pairs \\((A, B)\\) that satisfy the condition \\( A \\cup B = \\{1,2,3,4\\} \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "British",
"style": "rule"
} | {
"index": 6401,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Gallivant?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "May 2, 1990",
"style": "rule"
} | {
"index": 6402,
"need_tools_kwargs": true,
"question": "What was the birth date of an actress who co-starred in a film with Lori Loughlin?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "December 2, 1981",
"style": "rule"
} | {
"index": 6403,
"need_tools_kwargs": true,
"question": "Irresistible is the second studio album by American recording artist Jessica Simpson, released on May 25, 2001, Simpson described the material as \"Mariah Carey meets Britney Spears\", is an American singer, dancer, and actress, born on which date?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\dfrac{2}{9}",
"style": "rule"
} | {
"index": 6404,
"need_tools_kwargs": true,
"question": "A club has 10 members, 5 boys and 5 girls. Two of the members are chosen at random. What is the probability that they are both girls?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Rhys Ifans",
"style": "rule"
} | {
"index": 6405,
"need_tools_kwargs": true,
"question": "What actor was a former member of a band that collaborated with Manic Street Preachers to create the song Futurology?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Washington",
"style": "rule"
} | {
"index": 6406,
"need_tools_kwargs": true,
"question": "Where was the performer of song It Don'T Mean A Thing (If It Ain'T Got That Swing) born?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Shunko",
"style": "rule"
} | {
"index": 6407,
"need_tools_kwargs": true,
"question": "Which film has the director who died first, The Lost Weekend (film) or Shunko?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Derrick Mason",
"style": "rule"
} | {
"index": 6408,
"need_tools_kwargs": true,
"question": "What Baltimore Ravens retiree scored 8 touchdowns for the Tennessee Titans in 2003?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"index": 6409,
"need_tools_kwargs": true,
"question": "$n$ balls are placed independently and uniformly at random into $n$ boxes. One box is selected at random and is found to contain $b$ balls. Let $e_n$ be the expected value of $b^4$. Find $$\\lim_{n \\to \\infty} e_n.$$",
"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": "many applications from industrial manufacturing to medicine",
"style": "rule"
} | {
"index": 6410,
"need_tools_kwargs": true,
"question": "Polyethylene glycol, one of the chemical components in Polyether block amide serves what purpose?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-3",
"style": "rule"
} | {
"index": 6411,
"need_tools_kwargs": true,
"question": "Real numbers \\((x,y)\\) satisfy the following equations:\n\\[\n(x + 3)(y + 1) + y^2 = 3y\n\\]\n\\[\n-x + x(y + x) = - 2x - 3.\n\\]\nFind the sum of all possible values 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": "132",
"style": "rule"
} | {
"index": 6412,
"need_tools_kwargs": true,
"question": "In a right prism with rectangular bases, each side of the rectangle is in the ratio 3:4 and the sum of the areas of three mutually adjacent faces (two lateral faces and the base) is 48. Find the maximum volume of the prism.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "39",
"style": "rule"
} | {
"index": 6413,
"need_tools_kwargs": true,
"question": "In an inscribed quadrilateral \\(ABCD\\), the degree measures of the angles are in the ratio \\(\\angle A : \\angle B : \\angle C = 2 : 3 : 4\\). Given that \\(CD = 15\\) and \\(BC = 18\\sqrt{3} - 7.5\\), determine the length of \\(AC\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "67",
"style": "rule"
} | {
"index": 6414,
"need_tools_kwargs": true,
"question": "Equilateral triangle $\\vartriangle ABC$ has side length $12$ and equilateral triangles of side lengths $a, b, c < 6$ are each cut from a vertex of $\\vartriangle ABC$, leaving behind an equiangular hexagon $A_1A_2B_1B_2C_1C_2$, where $A_1$ lies on $AC$, $A_2$ lies on $AB$, and the rest of the vertices are similarly defined. Let $A_3$ be the midpoint of $A_1A_2$ and define $B_3$, $C_3$ similarly. Let the center of $\\vartriangle ABC$ be $O$. Note that $OA_3$, $OB_3$, $OC_3$ split the hexagon into three pentagons. If the sum of the areas of the equilateral triangles cut out is $18\\sqrt3$ and the ratio of the areas of the pentagons is $5 : 6 : 7$, what is the value of $abc$? The original answer is in the form $k\\sqrt{m}$, please give the value of k + m.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1 April 1795",
"style": "rule"
} | {
"index": 6415,
"need_tools_kwargs": true,
"question": "What is the date of death of Princess Maria Amalia Of Saxony's husband?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Kelly Marie Monaco",
"style": "rule"
} | {
"index": 6416,
"need_tools_kwargs": true,
"question": "Who is the first season winner of the US version of the UK series \"Strictly Come Dancing\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "I'll Overcome Some Day",
"style": "rule"
} | {
"index": 6417,
"need_tools_kwargs": true,
"question": "The tune of \"O Sanctissima\" has been notably reused in the first half of a American civil rights anthem that is most commonly attributed as having descended lyrically from what hymn?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{22}{41}",
"style": "rule"
} | {
"index": 6418,
"need_tools_kwargs": true,
"question": "Among the numbers $1, 2, 3, \\cdots, 50$, if 10 consecutive numbers are selected, what is the probability that exactly 3 of them are prime 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": "Jane",
"style": "rule"
} | {
"index": 6419,
"need_tools_kwargs": true,
"question": "What was the middle name of the actress who hosted the 1987 PBS special, A Christmas Calendar?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "60585",
"style": "rule"
} | {
"index": 6420,
"need_tools_kwargs": true,
"question": "$a_{n}$ 是离 $\\sqrt{n}$ 最近的整数, 则 $S_{2021}=$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\$150",
"style": "rule"
} | {
"index": 6421,
"need_tools_kwargs": true,
"question": "Sam earns $10 an hour on Math tutoring. For the first month, he earned $200; and for the second month, he earned some amount more than the first month. He spent 55 hours on tutoring for two months. How much more did he earn in the second month compared to the first month?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "36\\}",
"style": "rule"
} | {
"index": 6422,
"need_tools_kwargs": true,
"question": "An athletic meet lasted for \\( n \\) consecutive days and awarded a total of \\( m \\) medals. On the first day, 1 medal was awarded plus \\(\\frac{1}{7}\\) of the remaining \\( m-1 \\) medals. On the second day, 2 medals were awarded plus \\(\\frac{1}{7}\\) of the remaining medals. On each subsequent day, this pattern continued. On the final, \\( n \\)-th day, exactly \\( n \\) medals were awarded. Find the values of \\( n \\) and \\( m \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{12}{5}",
"style": "rule"
} | {
"index": 6423,
"need_tools_kwargs": true,
"question": "Let \\( f(x) \\) be an increasing function defined on \\( (0, +\\infty) \\) such that for any \\( x \\in (0, +\\infty) \\), the following conditions hold:\n\\[ f(x) > -\\frac{6}{x}, \\]\n\\[ f\\left(f(x) + \\frac{6}{x}\\right) = 5. \\]\n\nDetermine the value of \\( f(10) \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": 6424,
"need_tools_kwargs": true,
"question": "对于正整数集的非空子集 $A$ ，记 $f(A)=\\{a b c-b-c+2 \\mid a, b, c \\in A\\}$ 。求所有的 $n \\geq 2$ ，使得可将正整数集分成 $n$ 个两两不交的非空集合 $A_{1}, A_{2}, \\ldots, A_{n}$ 的并，且对于任意的 $1 \\leq \\mathrm{i} \\leq \\mathrm{n}, \\mathrm{f}\\left(\\mathrm{A}_{\\mathrm{i}}\\right) \\subseteq \\mathrm{A}_{\\mathrm{i}}$ 。请给出满足条件的最小正整数$n$的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 6425,
"need_tools_kwargs": true,
"question": "Do the movies Blacktown (Film) and You Are The One (Film), originate 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": "r = Ke^{\\varphi}",
"style": "rule"
} | {
"index": 6426,
"need_tools_kwargs": true,
"question": "Find the general solution of the differential equation\n\n$$\nd r - r d \\varphi = 0\n$$",
"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": "54^\\circ",
"style": "rule"
} | {
"index": 6427,
"need_tools_kwargs": true,
"question": "Among all the roots of\n\\[z^8 - z^6 + z^4 - z^2 + 1 = 0,\\]the maximum imaginary part of a root can be expressed as $\\sin \\theta,$ where $-90^\\circ \\le \\theta \\le 90^\\circ.$ Find $\\theta.$",
"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": "Islamabad",
"style": "rule"
} | {
"index": 6428,
"need_tools_kwargs": true,
"question": "Where is the Head Office of the starter of the No issue, lelo tissue ad campaign?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "19",
"style": "rule"
} | {
"index": 6429,
"need_tools_kwargs": true,
"question": "In the rectangular table shown below, the number $1$ is written in the upper-left hand corner, and every number is the sum of the any numbers directly to its left and above. The table extends infinitely downwards and to the right.\n\\[ \n \\begin{array}{cccccc}\n 1 & 1 & 1 & 1 & 1 & \\cdots \n 1 & 2 & 3 & 4 & 5 & \\cdots \n 1 & 3 & 6 & 10 & 15 & \\cdots \n 1 & 4 & 10 & 20 & 35 & \\cdots \n 1 & 5 & 15 & 35 & 70 & \\cdots \n \\vdots & \\vdots & \\vdots & \\vdots & \\vdots & \\ddots\n \\end{array}\n\\]\nWanda the Worm, who is on a diet after a feast two years ago, wants to eat $n$ numbers (not necessarily distinct in value) from the table such that the sum of the numbers is less than one million. However, she cannot eat two numbers in the same row or column (or both). What is the largest possible value of $n$ ?\n\n*Proposed by Evan Chen*",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6430,
"need_tools_kwargs": true,
"question": "Given the sequence $\\{a_n\\}$ where $a_n = -3n + 4$, and the geometric sequence $\\{b_n\\}$ with common ratio $q$ satisfying $q = a_n - a_{n-1} (n \\geqslant 2)$ and $b_1 = a_1$, find the maximum value of $n$ such that $\\frac{1}{|b_1|} + \\frac{1}{|b_2|} + \\ldots + \\frac{1}{|b_n|} < \\frac{121}{81}$ holds. \n\nA: $3$\n\nB: $4$\n\nC: $5$\n\nD: $6$",
"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... | math | {
"ground_truth": "ab = \\frac{1}{2}",
"style": "rule"
} | {
"index": 6431,
"need_tools_kwargs": true,
"question": "Given that $\\log_2{3}=1$ and $4^b=3$, then $ab$ is equal to ( )\nA: 0\nB: $\\frac{1}{2}$\nC: $\\frac{3}{4}$\nD: 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": "2",
"style": "rule"
} | {
"index": 6432,
"need_tools_kwargs": true,
"question": "设 $x, y$ 为不同的正整数, 给出以下三个结论: \n$(1)$ $y^{2}+2 x$ 与 $x^{2}+2 y$ 不可能同时为完全平方数 \n$(2)$ $y^{2}+4 x$ 与 $x^{2}+4 y$ 不可能同时为完全平方数 \n$(3)$ $y^{2}+6 x$ 与 $x^{2}+6 y$ 不可能同时为完全平方数 \n求出其中正确结论的个数。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"index": 6433,
"need_tools_kwargs": true,
"question": "Pensioners on one of the planets in Alpha Centauri enjoy painting the cells of $2016 \\times 2016$ boards with gold and silver paints. One day, it turned out that for all the boards painted that day, each $3 \\times 3$ square contained exactly $A$ gold cells, and each $2 \\times 4$ or $4 \\times 2$ rectangle contained exactly $Z$ gold cells. For which values of $A$ and $Z$ is this possible?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "John Houston Stockton",
"style": "rule"
} | {
"index": 6434,
"need_tools_kwargs": true,
"question": "Hust Stockton was the grandfather of which retired pro basketball player?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4\\sqrt{6}",
"style": "rule"
} | {
"index": 6435,
"need_tools_kwargs": true,
"question": "Calculate the value of the expression \\(\\sqrt{16-12\\sqrt{3}}+\\sqrt{16+12\\sqrt{3}}\\). Show your work and explain each step of your solution.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Sam Phillips",
"style": "rule"
} | {
"index": 6436,
"need_tools_kwargs": true,
"question": "Who is the film dedicated to that Paramount Classics and MTV Films co-purchased the rights to?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "the Princess's father",
"style": "rule"
} | {
"index": 6437,
"need_tools_kwargs": true,
"question": "Love's Labour's Won is disputed to possibly be a sequel to a comedy where the play closes with the death of the who?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Lochranza Castle",
"style": "rule"
} | {
"index": 6438,
"need_tools_kwargs": true,
"question": "Which castle obtained by the Earl of Menteith was mostly built in the 16th century?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 17, 1981",
"style": "rule"
} | {
"index": 6439,
"need_tools_kwargs": true,
"question": "When did the director of film The Night Of The Devils 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": "4+3\\sqrt{2}",
"style": "rule"
} | {
"index": 6440,
"need_tools_kwargs": true,
"question": "A regular octagon $ABCDEFGH$ has sides of length two. Find the area of $\\bigtriangleup ADG$. Express your answer 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": "Nadezhda Nikitichna Mikhalkova",
"style": "rule"
} | {
"index": 6441,
"need_tools_kwargs": true,
"question": "Burnt by the Sun contains a starring role for which Russian actress?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6442,
"need_tools_kwargs": true,
"question": "Do both films, A Dream Of Passion and Heroes Del Aire, have the directors who are from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Shirley Mae Jones",
"style": "rule"
} | {
"index": 6443,
"need_tools_kwargs": true,
"question": "The 1961 Western The Two Rode Together starred which Academy Award-winning actress?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"index": 6444,
"need_tools_kwargs": true,
"question": "A triangle has vertices \\(A = (4, 3)\\), \\(B = (6, -2)\\), and \\(C = (7, 1)\\). This triangle is reflected about the line \\(x = 6\\) to create a second triangle. Calculate the area of the union of the original triangle and the reflected triangle.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "London at the Royal Academy of Dramatic Art",
"style": "rule"
} | {
"index": 6445,
"need_tools_kwargs": true,
"question": "Where was this the actor born in 1899 who starred in The Tuttles of Tahiti trained at?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6446,
"need_tools_kwargs": true,
"question": "Given that $\\overrightarrow{a}+ \\overrightarrow{b}+ \\overrightarrow{c}= \\overrightarrow{0}$, the angle between $\\overrightarrow{a}$ and $\\overrightarrow{c}$ is $60^{\\circ}$, and $|\\overrightarrow{b}|= \\sqrt {3}|\\overrightarrow{a}|$, find the value of $\\cos < \\overrightarrow{a},\\overrightarrow{b} >$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "21 August 1958",
"style": "rule"
} | {
"index": 6447,
"need_tools_kwargs": true,
"question": "When did the director of film The Kid From Texas 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": "Cid (Sidney) Corman",
"style": "rule"
} | {
"index": 6448,
"need_tools_kwargs": true,
"question": "Who lived a longer life, Cid Corman or Witold Gombrowicz?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "26.00208",
"style": "rule"
} | {
"index": 6449,
"need_tools_kwargs": true,
"question": "A goods train runs at a speed of 72 kmph and crosses a 270 m long platform in a certain amount of time. The length of the goods train is 250.0416 meters. How many seconds does it take for the train to cross the platform?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "American",
"style": "rule"
} | {
"index": 6450,
"need_tools_kwargs": true,
"question": "Which country the director of film Silver Threads Among The Gold (1911 Film) is from?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{1}{32}",
"style": "rule"
} | {
"index": 6451,
"need_tools_kwargs": true,
"question": "Let the polynomial \\( P(x) = x^{3} + a x^{2} + b x + c \\) have roots \\( \\cos \\frac{2 \\pi}{7}, \\cos \\frac{4 \\pi}{7}, \\cos \\frac{6 \\pi}{7} \\). Find the value of \\( a b c \\).\n\n(A) \\( -\\frac{3}{49} \\) \n(B) \\( -\\frac{1}{28} \\) \n(C) \\( \\frac{\\sqrt[3]{7}}{64} \\) \n(D) \\( \\frac{1}{32} \\) \n(E) \\( \\frac{1}{28} \\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Metallica",
"style": "rule"
} | {
"index": 6452,
"need_tools_kwargs": true,
"question": "What band's drummer assembled the compilation A New Wave of Brith Heavy Metal '79 Revisited?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Boozer",
"style": "rule"
} | {
"index": 6453,
"need_tools_kwargs": true,
"question": "What two-time NBA All-Star and 2004 member of Team USA left the Los Angeles Lakers after the worst season in franchise history in 2014-2015?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{14}",
"style": "rule"
} | {
"index": 6454,
"need_tools_kwargs": true,
"question": "In triangle \\( ABC \\), segment \\( [BD] \\) is a median, where \\( D \\) is the midpoint of side \\( AC \\). Given that \\( m(\\widehat{ABD}) = 90^\\circ \\), \\( |AB| = 2 \\), and \\( |AC| = 6 \\), determine the length of side \\( |BC| \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 6455,
"need_tools_kwargs": true,
"question": "已知 \\( p(x) \\) 为 5 次多项式。若 \\( x=0 \\) 为 \\( p(x)+1=0 \\) 的三重根，\\( x=1 \\) 为 \\( p(x)-1=0 \\) 的三重根，则 \\( p(x) \\) 的表达式为 \\( ax^5 + bx^4 + cx^3 + dx^2 + ex + f \\)。请计算 \\( a + b + c + d + e + f \\) 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": "25",
"style": "rule"
} | {
"index": 6456,
"need_tools_kwargs": true,
"question": "Let \\( N \\) be the smallest positive integer whose digits have a product of 2000. The sum of the digits of \\( N \\) is\n(A) 21\n(B) 23\n(C) 25\n(D) 27\n(E) 29",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "October 27, 2013",
"style": "rule"
} | {
"index": 6457,
"need_tools_kwargs": true,
"question": "When did the composer of song Run Run Run (The Velvet Underground Song) 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": "Jimmy Ruffin",
"style": "rule"
} | {
"index": 6458,
"need_tools_kwargs": true,
"question": "Who is the brother of the lead singer of I Wish It Would Rain?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "The Sacred Order of Saint Dumas",
"style": "rule"
} | {
"index": 6459,
"need_tools_kwargs": true,
"question": "What order created the group of assassins to which the character, played by James Frain in Season 2 of \"Gotham\", belongs?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "American",
"style": "rule"
} | {
"index": 6460,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Grace (2009 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": "Los Angeles",
"style": "rule"
} | {
"index": 6461,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film The Eyes Of Annie Jones?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Queens, New York",
"style": "rule"
} | {
"index": 6462,
"need_tools_kwargs": true,
"question": "Patrick Reynolds is an American music executive, record producer and songwriter noted for working with prominent artists such as an American rapper and actor from where?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1951",
"style": "rule"
} | {
"index": 6463,
"need_tools_kwargs": true,
"question": "In what year was the coach who founded \"Compete To Create\" born?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "a \\geq 4",
"style": "rule"
} | {
"index": 6464,
"need_tools_kwargs": true,
"question": "\"For all $x \\in [1, 2]$, $x^2 - a \\leq 0$ is a true statement, then the range of $a$ is ______.\"",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\left(\\frac{\\pi}{6}, \\frac{\\pi}{2}\\right)",
"style": "rule"
} | {
"index": 6465,
"need_tools_kwargs": true,
"question": "If the intersection point M of the line $l_1: x+ay+\\sqrt{3}a=0$ with $2x+3y-6=0$ is in the first quadrant, then the range of values for the inclination angle of $l_1$ 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": "Jay Presson Allen",
"style": "rule"
} | {
"index": 6466,
"need_tools_kwargs": true,
"question": "Who wrote the screenplay for the American psychological thriller film in which Kimberly Beck played a role?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Dixie Chicks",
"style": "rule"
} | {
"index": 6467,
"need_tools_kwargs": true,
"question": "What country group, forned in Dallas, Texas, 1990, has a nationionally recognized fiddle player as a founding member?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "k \\leqslant \\frac{2}{3}",
"style": "rule"
} | {
"index": 6468,
"need_tools_kwargs": true,
"question": "Given a positive sequence $\\left\\{ a_n \\right\\}$ with the sum of the first $n$ terms denoted as $S_n$, and $4S_n = (a_n + 1)^2$.\n\n(Ⅰ) Find the general formula for the sequence $\\left\\{ a_n \\right\\}$;\n\n(Ⅱ) Find the sum of the first $n$ terms, $T_n$, for the sequence $\\left\\{ \\frac{2}{a_n a_{n+1}} \\right\\}$;\n\n(Ⅲ) If for any $n \\in N^*$, $T_n \\geqslant k$ always holds, find the range of values for $k$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "cleric",
"style": "rule"
} | {
"index": 6469,
"need_tools_kwargs": true,
"question": "What was the profession of the man who called Log College's structure very plain in his journal?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": 6470,
"need_tools_kwargs": true,
"question": "How many pairs of real numbers $(x, y)$ are there such that \\( x^{4} - 2^{-y^{2}} x^{2} - \\lfloor x^{2} \\rfloor + 1 = 0 \\), where \\( \\lfloor a \\rfloor \\) denotes the greatest integer not exceeding \\( 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": "k = \\frac{5}{3}",
"style": "rule"
} | {
"index": 6471,
"need_tools_kwargs": true,
"question": "Determine the value of $k$ if the lines with equations $y = 5x + 3$ and $y = (3k)x + 7$ are parallel.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6472,
"need_tools_kwargs": true,
"question": "On a given circle, six points $A$, $B$, $C$, $D$, $E$, and $F$ are chosen at random, independently and uniformly with respect to arc length. Determine the probability that the two triangles $ABC$ and $DEF$ are disjoint, i.e., have no common points. The original answer is in \\frac{k}{m} format, please give the value of k + m.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "C. 20 mph",
"style": "rule"
} | {
"index": 6473,
"need_tools_kwargs": true,
"question": "Vehicle $A$ is traveling at 60 mph, Vehicle $B$ at 50 mph, and Vehicle $C$ at 70 mph. Vehicles $A$ and $B$ are moving in the same direction with $B$ in front of $A$. Vehicle $C$ is approaching $A$ from the opposite direction. The distance between $A$ and $B$ is 100 ft, and the distance between $A$ and $C$ is 500 ft. There is also a speed limit of 80 mph. Calculate by how many mph Vehicle $A$ must increase its speed to ensure it overtakes $B$ before it meets $C$, given it does not exceed the speed limit.\nA. 15 mph\nB. 18 mph\nC. 20 mph\nD. 22 mph",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\$6.00",
"style": "rule"
} | {
"index": 6474,
"need_tools_kwargs": true,
"question": "A high school sold gift wrap. The gift wrap in solid colors sold for 4.00 dollars per roll and the print gift wrap sold for some amount per roll. The total number of rolls sold was 480 rolls, and the total amount of money collected was 2,340.00 dollars. They sold 210 print rolls. How much did the print gift wrap sell for per roll?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Respiratory Failure",
"style": "rule"
} | {
"index": 6475,
"need_tools_kwargs": true,
"question": "Why did the performer of song Treasure Of Love 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": "University of Naples",
"style": "rule"
} | {
"index": 6476,
"need_tools_kwargs": true,
"question": "From which Italian university did politician Alberto Beneduce earn his mathematics degree?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Death in the Afternoon",
"style": "rule"
} | {
"index": 6477,
"need_tools_kwargs": true,
"question": "Between Death in the Afternoon and Hennchata, whose inventor has more literary fame?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6478,
"need_tools_kwargs": true,
"question": "Consider the statement, \"If \\( n \\) is not prime, then \\( n-5 \\) is prime.\" Identify a value of \\( n \\) that serves as a counterexample to this statement by providing a composite number \\( n \\) such that \\( n-5 \\) is also not prime. Explain your reasoning.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "283",
"style": "rule"
} | {
"index": 6479,
"need_tools_kwargs": true,
"question": "The numbers from 1 to 150, inclusive, are placed in a bag and a number is randomly selected from the bag. What is the probability it is not a perfect power (integers that can be expressed as $x^{y}$ where $x$ is an integer and $y$ is an integer greater than 1. For example, $2^{4}=16$ is a perfect power, while $2\\times3=6$ is not a perfect power)? Express your answer as a common fraction.The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. 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... | math | {
"ground_truth": "70",
"style": "rule"
} | {
"index": 6480,
"need_tools_kwargs": true,
"question": "Let $m,n$ be natural numbers such that $\\hspace{2cm} m+3n-5=2LCM(m,n)-11GCD(m,n).$ Find the maximum possible 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... | math | {
"ground_truth": "\\pm 10879",
"style": "rule"
} | {
"index": 6481,
"need_tools_kwargs": true,
"question": "For what real values of \\( k \\) do \\( 1988x^2 + kx + 8891 \\) and \\( 8891x^2 + kx + 1988 \\) have a common zero?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6482,
"need_tools_kwargs": true,
"question": "Are both villages, Olusjerd and Takab Deh Geh, located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 6483,
"need_tools_kwargs": true,
"question": "How many maxi challenges did Sharon Needles win in Season 4 of RPDR?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6484,
"need_tools_kwargs": true,
"question": "If the three points $$\\begin{aligned} & (1, a, b) \\\\ & (a, 2, b) \\\\ & (a, b, 3) \\end{aligned}$$ are collinear (in 3-space), what is the value of $a+b$ ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-\\dfrac{10}{9}",
"style": "rule"
} | {
"index": 6485,
"need_tools_kwargs": true,
"question": "Solve for the largest value of $x$ such that $5(9x^2+9x+10) = x(9x-40).$ Express your answer as a simplified common fraction.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\$32.06",
"style": "rule"
} | {
"index": 6486,
"need_tools_kwargs": true,
"question": "Vicente is on a trip and decides to buy 5 kilograms of rice and 3 pounds of meat. Each kilogram of rice is €2 and a pound of meat is £5. Additionally, there is a 10% discount on the rice, and a 5% sales tax on the meat. The exchange rates are: €1 = $1.20 and £1 = $1.35. Calculate the total amount Vicente spent in US dollars ($).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 6487,
"need_tools_kwargs": true,
"question": "Which country the director of film Let The Game Begin is from?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "40",
"style": "rule"
} | {
"index": 6488,
"need_tools_kwargs": true,
"question": "Ivan Tsarevich is fighting the Dragon Gorynych on the Kalinov Bridge. The Dragon has 198 heads. With one swing of his sword, Ivan Tsarevich can cut off five heads. However, new heads immediately grow back, the number of which is equal to the remainder when the number of heads left after Ivan's swing is divided by 9. If the remaining number of heads is divisible by 9, no new heads grow. If the Dragon has five or fewer heads before the swing, Ivan Tsarevich can kill the Dragon with one swing. How many sword swings does Ivan Tsarevich need to defeat the Dragon Gorynych?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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^\\circ",
"style": "rule"
} | {
"index": 6489,
"need_tools_kwargs": true,
"question": "Line $m$ is parallel to line $n$ and the measure of $\\angle 1$ is $\\frac 18$ the measure of $\\angle 2$. What is the degree measure of $\\angle 5$? [asy] size(100); defaultpen(linewidth(0.7)+fontsize(9));\npath m = (-1.35,0.72)--(0.45,0.72), n = (-1,0)--(1,0), k = (-0.67,1.09)--(0.27,-0.48);\n\npair A = intersectionpoints(m,k)[0], B = intersectionpoints(n,k)[0];\ndraw(m,Arrows(4)); draw(n,Arrows(4)); draw(k,Arrows(4));\n\nlabel(\"$k$\",(0.27,-0.48),SE); label(\"$n$\",(1,0),NE); label(\"$m$\",(0.45,0.72),NE);\nlabel(\"$1$\",A,(-2.5,1.5));\nlabel(\"$2$\",B,(1,1));\nlabel(\"$3$\",B,(-2.5,1.5));\nlabel(\"$4$\",B,(-1,-1));\nlabel(\"$5$\",B,(2.5,-1.5));\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... | qa | {
"ground_truth": "\"the Heart of Georgia.\"",
"style": "rule"
} | {
"index": 6490,
"need_tools_kwargs": true,
"question": "Mark Heard was originally from the city nicknamed 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": "American",
"style": "rule"
} | {
"index": 6491,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film In My Sleep?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "87",
"style": "rule"
} | {
"index": 6492,
"need_tools_kwargs": true,
"question": "Mrs. Walter gave an exam in a mathematics class of six students. After entering each score into a new spreadsheet system that recalculates the class average, she noticed that the average was always a whole number. The scores, listed in ascending order, were 73, 78, 82, 84, 87, and 95. At the end, she observed that the median of the scores was precisely 83. Determine the last score that Mrs. Walter entered.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 \\in (-\\infty, -1) \\cup (3, +\\infty) ",
"style": "rule"
} | {
"index": 6493,
"need_tools_kwargs": true,
"question": "For which values of \\( x \\) is the following expression defined?\n\n$$\n\\log _{3}\\left(1-\\log _{0.5}\\left(x^{2}-2x-2.5\\right)\\right)\n$$",
"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": "16",
"style": "rule"
} | {
"index": 6494,
"need_tools_kwargs": true,
"question": "A person can commute by train or car. If he takes the train to work in the morning, he takes the car in the afternoon; conversely, if he takes the car home in the afternoon, he would have taken the train to work in the morning. Over \\( x \\) days, this person took the train 9 times, took the car in the morning 8 times, and took the car in the afternoon 15 times. Determine the value 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": "720",
"style": "rule"
} | {
"index": 6495,
"need_tools_kwargs": true,
"question": "The New Year's gala has a total of 8 programs, 3 of which are non-singing programs. When arranging the program list, it is stipulated that the non-singing programs are not adjacent, and the first and last programs are singing programs. How many different ways are there to arrange the program list?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "5176_{9}",
"style": "rule"
} | {
"index": 6496,
"need_tools_kwargs": true,
"question": "Add $256_{9} + 85_{9} + 155_{9}$ and express your answer in base $9$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{3}",
"style": "rule"
} | {
"index": 6497,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, $\\overrightarrow {AD}=3 \\overrightarrow {DC}$, $\\overrightarrow {BP}=2 \\overrightarrow {PD}$, if $\\overrightarrow {AP}=λ \\overrightarrow {BA}+μ \\overrightarrow {BC}$, then $λ+μ=\\_\\_\\_\\_\\_\\_$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "24 April 1962",
"style": "rule"
} | {
"index": 6498,
"need_tools_kwargs": true,
"question": "What is the date of death of Mahisente Habte Mariam's husband?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2820",
"style": "rule"
} | {
"index": 6499,
"need_tools_kwargs": true,
"question": "Find the sum of all the integers $N > 1$ with the properties that the each prime factor of $N $ is either $2, 3,$ or $5,$ and $N$ is not divisible by any perfect cube greater than $1.$",
"split": "train"
} | null |
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