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": "\\frac{7}{12}",
"style": "rule"
} | {
"index": 8500,
"need_tools_kwargs": true,
"question": "A spinner was created by drawing five radii from the center of a circle. The first four radii divide the circle into four equal wedges. The fifth radius divides one of the wedges into two parts, one having twice the area of the other. The five wedges are labeled with the wedge labeled by 2 having twice the area of the wedge labeled by 1. Determine the probability of spinning an odd number.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Andrew Martin Steane",
"style": "rule"
} | {
"index": 8501,
"need_tools_kwargs": true,
"question": "Which fellow of one of the constituent colleges of the University of Oxford in England and the fourth oldest college of the University, is a Professor of physics at the University of Oxford?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 8502,
"need_tools_kwargs": true,
"question": "A massive vertical plate is fixed to a car moving at a speed of $5 \\, \\text{m/s}$. A ball is flying towards it at a speed of $6 \\, \\text{m/s}$ with respect to the ground. Determine the speed of the ball with respect to the ground after a perfectly elastic normal collision.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "g(x) = -2x^5 + 6x^3 - 4x^2 - x + 7",
"style": "rule"
} | {
"index": 8503,
"need_tools_kwargs": true,
"question": "Determine \\( g(x) \\), where the terms are in order of decreasing degree, given that\n\\[ 2x^5 - x^3 + 4x^2 + 3x - 5 + g(x) = 7x^3 - 4x + 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": "\\left( -\\frac{3}{2}, \\frac{9}{4} \\right)",
"style": "rule"
} | {
"index": 8504,
"need_tools_kwargs": true,
"question": "Let $A = (1,1)$ be a point on the parabola $y = x^2.$ The normal to the parabola at $A$ is drawn, intersecting the parabola again at $B.$ Find $B.$\n\n[asy]\nunitsize(1 cm);\n\npair A, B;\n\nA = (1,1);\nB = (-3/2,9/4);\n\nreal parab (real x) {\n return(x^2);\n}\n\ndraw(graph(parab,-2,2));\ndraw((A + (-1,-2))--(A + (1,2)));\ndraw((A + (1,-0.5))--(A + (-3,1.5)));\ndraw(rightanglemark(A + (-3,1.5), A, A + (1,2), 10));\n\ndot(\"$A$\", A, S);\ndot(\"$B$\", B, SW);\n[/asy]\n\nNote: The normal at a point $P$ on a curve $\\mathcal{C}$ is the line passing through $P$ that is perpendicular to the tangent to $\\mathcal{C}$ at $P.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8505,
"need_tools_kwargs": true,
"question": "Do both films, Cher Victor and The Tender Warrior, 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": "Damir Dzumhur ",
"style": "rule"
} | {
"index": 8506,
"need_tools_kwargs": true,
"question": "What is the name of the tennis player who faced a disciplinary probe and was fined for walking off the court during the ATP 500 event at Acapulco, Mexico in March 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": "3",
"style": "rule"
} | {
"index": 8507,
"need_tools_kwargs": true,
"question": "In triangle $ABC,$ if median $\\overline{AE}$ makes an angle of $60^\\circ$ with side $\\overline{BC},$ then find the value of $|\\cot B - \\cot C|.$",
"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": "\\frac{3 + \\sqrt{13}}{2}",
"style": "rule"
} | {
"index": 8508,
"need_tools_kwargs": true,
"question": "Find the real numbers \\( x, y, z \\) greater than 1 that satisfy the equation:\n$$\nx + y + z + \\frac{3}{x-1} + \\frac{3}{y-1} + \\frac{3}{z-1} = 2(\\sqrt{x+2} + \\sqrt{y+2} + \\sqrt{z+2}).\n$$",
"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": "December 22, 1979",
"style": "rule"
} | {
"index": 8509,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Murder Ahoy!?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Berlin",
"style": "rule"
} | {
"index": 8510,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film The Loves Of Käthe Keller?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8511,
"need_tools_kwargs": true,
"question": "Do both films Blackthorn (film) and Batman Returns have the directors from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "One man, one vote (or one person, one vote) is a principle of political democracy that underpins universal suffrage and political equality.",
"style": "rule"
} | {
"index": 8512,
"need_tools_kwargs": true,
"question": "Which is a principle of political democracy that underpins universal suffrage and political equality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "650",
"style": "rule"
} | {
"index": 8513,
"need_tools_kwargs": true,
"question": "Let $V$ be the set of vertices of a regular $25$ sided polygon with center at point $C.$ How many triangles have vertices in $ V$ and contain the point $C$ in the interior of the 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... | math | {
"ground_truth": "25599869679",
"style": "rule"
} | {
"index": 8514,
"need_tools_kwargs": true,
"question": "Define $$P(x) = x^{12} + 12x^{11} + 66x^{10} + 220x^9 + 495x^8 + 792x^7 + 924x^6 + 792x^5 - 159505x^4 + 220x^3 +66x^2 + 12x + 1.$$ Find $$\\frac{P (19)}{20^4}$$ .",
"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": "Elton John",
"style": "rule"
} | {
"index": 8515,
"need_tools_kwargs": true,
"question": "Who originally composed the titular song of ABS-CBN's 2009 miniseries featuring AJ Perez?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Mission",
"style": "rule"
} | {
"index": 8516,
"need_tools_kwargs": true,
"question": "What movie did a Battleship actor starred in with Robert De Niro?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": 8517,
"need_tools_kwargs": true,
"question": "Let's take any 1962-digit number that is divisible by 9. We denote the sum of its digits by \\( a \\), the sum of the digits of \\( a \\) by \\( b \\), and the sum of the digits of \\( b \\) by \\( c \\). What is \\( 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": "Model City",
"style": "rule"
} | {
"index": 8518,
"need_tools_kwargs": true,
"question": "What does the City of Miami government refer to the neighborhood where Miami Northwestern Senior High School is located as?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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<x<11",
"style": "rule"
} | {
"index": 8519,
"need_tools_kwargs": true,
"question": "The solution set of the inequality $\\lg(x-1)<1$ 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... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 8520,
"need_tools_kwargs": true,
"question": "Given the sets $A = \\{-1, 2, 2m-1\\}$ and $B = \\{2, m^2\\}$, if $B \\subseteq A$, then the real number $m = \\boxed{\\_\\_\\_\\_\\_\\_\\_\\_}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "57",
"style": "rule"
} | {
"index": 8521,
"need_tools_kwargs": true,
"question": "Suppose that \\(A\\) and \\(B\\) are digits such that:\n\n\\[ \\begin{array}{r}\nAAA \\\\\nAAB \\\\\nABB \\\\\n+\\ BBB \\\\\n\\hline\n1503 \\\\\n\\end{array} \\]\n\nWhat is the value of \\(A^3 + B^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": "(2 \\times (4 - 12)) + 40",
"style": "rule"
} | {
"index": 8522,
"need_tools_kwargs": true,
"question": "Using the numbers $2, 4, 12, 40$ each exactly once, you can perform operations to obtain 24.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 8523,
"need_tools_kwargs": true,
"question": "Sveta, Katya, Olya, Masha, and Tanya attend a math club, where more than 60% of the students are boys. What is the minimum number of students that can be in this club?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "14",
"style": "rule"
} | {
"index": 8524,
"need_tools_kwargs": true,
"question": "设集合 A=\\{x_1,x_2,x_3,x_4\\} 所有三元子集的三数之积构成集合 B=\\{24,30,40,60\\}. 请找出x_1, x_2, x_3, x_4的值并计算x_1 + x_2 + x_3 + x_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": "no",
"style": "rule"
} | {
"index": 8525,
"need_tools_kwargs": true,
"question": "Are the movies Help Yourself (Film) and Vavien, 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": "10",
"style": "rule"
} | {
"index": 8526,
"need_tools_kwargs": true,
"question": "There is a car-sharing parking lot where all the parking spaces are arranged in a row and are currently unoccupied. Assume that the first three cars that arrive and park at the lot park randomly, and the probability that these three cars do not park adjacent to each other is equal to the probability that exactly two of them park adjacent to each other. Determine the number of parking spaces in the lot.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 8527,
"need_tools_kwargs": true,
"question": "If integers $m$, $n$, and $k$ satisfy the equation $m^2 + n^2 + 1 = kmn$, what values can $k$ have?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\$35",
"style": "rule"
} | {
"index": 8528,
"need_tools_kwargs": true,
"question": "Travis has 10000 apples, and he is planning to sell these apples in boxes. Fifty apples can fit in each box. If he sells each box of apples for a certain amount, he will be able to take home $7000. How much does he sell each box of apples for?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Victory Park",
"style": "rule"
} | {
"index": 8529,
"need_tools_kwargs": true,
"question": "TLC: Tables, Ladders & Chairs was an event that was held at the arena in what part of Dallas?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8530,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Six-Gun Gold?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "18",
"style": "rule"
} | {
"index": 8531,
"need_tools_kwargs": true,
"question": "In a 10×10 grid square, the centers of all unit squares are marked (a total of 100 points). What is the minimum number of lines, not parallel to the sides of the square, needed to go through all the marked points?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "A Reflection Of Fear",
"style": "rule"
} | {
"index": 8532,
"need_tools_kwargs": true,
"question": "Which film has the director who was born earlier, A Reflection Of Fear or Real Steel?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Asa Packer",
"style": "rule"
} | {
"index": 8533,
"need_tools_kwargs": true,
"question": " Thomas Hyclak as the chair of the economics department of an American private research university established by 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... | math | {
"ground_truth": "0",
"style": "rule"
} | {
"index": 8534,
"need_tools_kwargs": true,
"question": "Given the hyperbola $\\frac{x^2}{2} - \\frac{y^2}{b^2} = 1 (b > 0)$, its left and right foci are $F\\_1$ and $F\\_2$, respectively. One of its asymptotes is $y = x$, and the point $P(\\sqrt{3}, y\\_0)$ lies on the hyperbola. Determine the value of $\\overrightarrow{PF\\_1} \\cdot \\overrightarrow{PF\\_2}$.",
"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": "441",
"style": "rule"
} | {
"index": 8535,
"need_tools_kwargs": true,
"question": "He also has a section filled with short story booklets. If each booklet has 9 pages and there are 49 booklets in the short story section, how many pages will Jack need to go through if he plans to read them all?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "60^\\circ",
"style": "rule"
} | {
"index": 8536,
"need_tools_kwargs": true,
"question": "In regular hexagon $ABCDEF$, diagonal $AD$ is drawn. Given that each interior angle of a regular hexagon measures 120 degrees, what is the measure of angle $DAB$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "31",
"style": "rule"
} | {
"index": 8537,
"need_tools_kwargs": true,
"question": "How many numbers can be expressed as the sum of two or more distinct elements of the set $\\{ 0, 1, 2, 4, 8, 16 \\}$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8538,
"need_tools_kwargs": true,
"question": "Are the movies Hunted (Film) and Keep Off, 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": "Charles Sobhraj",
"style": "rule"
} | {
"index": 8539,
"need_tools_kwargs": true,
"question": "Shadow of the Cobra is a 1989 television movie based on the book, regarding who, which is widely believed to be a psychopath?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "sixth-generation jet fighter",
"style": "rule"
} | {
"index": 8540,
"need_tools_kwargs": true,
"question": "Which jet fighter is currently in service in the United States and is to replace the United States navy's F/A-18E/F Super Hornet?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Augusta, Maine",
"style": "rule"
} | {
"index": 8541,
"need_tools_kwargs": true,
"question": "Still Reigning was filmed at a venue in which city?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "S_{n}=-\\dfrac{1}{n}",
"style": "rule"
} | {
"index": 8542,
"need_tools_kwargs": true,
"question": "Given that $BE \\perp {A_{1}}O$ is the sum of the first terms of the sequence $BE \\perp OC$, and ${A_{1}}OC$, $CD//BE$, then $CD \\perp \\_\\_\\_\\_\\_\\_\\_\\_\\_.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8543,
"need_tools_kwargs": true,
"question": "Do both films Clothes Make The Pirate and Halla Bol 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": "4\\,A",
"style": "rule"
} | {
"index": 8544,
"need_tools_kwargs": true,
"question": "A certain battery has a voltage of $48V$. When using this battery, the current $I$ (unit: $A$) is related to the resistance $R$ (unit: $\\Omega$) by the function $I=\\frac{48}{R}$. When $R=12\\Omega$, the value of $I$ is ______ $A$.",
"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": "70",
"style": "rule"
} | {
"index": 8545,
"need_tools_kwargs": true,
"question": "Consider a quadrilateral \\(ABCD\\) with point \\(P\\) as the intersection of lines \\(AC\\) and \\(BD\\). You are given the following angles: \\(\\widehat{CAD} = 50^\\circ\\), \\(\\widehat{BAC} = 70^\\circ\\), \\(\\widehat{DCA} = 40^\\circ\\), and \\(\\widehat{ACB} = 20^\\circ\\). Using this information, calculate the angle \\(\\widehat{CPD}\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 \\in \\left(0, \\frac{1}{2}\\right)",
"style": "rule"
} | {
"index": 8546,
"need_tools_kwargs": true,
"question": "Given the function $f(x) = \\ln x + ax^2 - 2x$, find the range of the real number $a$ such that the function has two distinct extreme points.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Guangzhou International Sports Arena",
"style": "rule"
} | {
"index": 8547,
"need_tools_kwargs": true,
"question": "Between 2010 and 2014, which stadium held the most seats for basketball in the Asian Games?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Bade Sarkar",
"style": "rule"
} | {
"index": 8548,
"need_tools_kwargs": true,
"question": "Which film has the director who was born first, Aniceto or Bade Sarkar?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Mick Hucknall",
"style": "rule"
} | {
"index": 8549,
"need_tools_kwargs": true,
"question": "Who is the lead singer of the Ernesto Juan Castellanos produced group that was had ten songs i the top 10 UK Singles Chart?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8550,
"need_tools_kwargs": true,
"question": "Are both villages, Shireh Choqa and Rumeshteh, 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": "Portland Trail Blazers",
"style": "rule"
} | {
"index": 8551,
"need_tools_kwargs": true,
"question": "What team was the current assistant coach for the South Florida Bulls re-signed to after being released from the Washington Wizards?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Sandy Cheeks",
"style": "rule"
} | {
"index": 8552,
"need_tools_kwargs": true,
"question": "This American animated/live-action comedy film series featured the voice of an actress known for her roll as who on the animated television program of the same 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": "\\frac{1}{2}",
"style": "rule"
} | {
"index": 8553,
"need_tools_kwargs": true,
"question": "Each of the twelve letters in ``MATHEMATICS'' is written on its own square tile and placed in a bag. What is the probability that a tile randomly selected from the bag will have a letter on it that is in the word ``CHARM''? Express your answer as a 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... | qa | {
"ground_truth": "7 June 1876",
"style": "rule"
} | {
"index": 8554,
"need_tools_kwargs": true,
"question": "What is the date of death of Prince Gustaf, Duke Of Uppland's mother?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "25",
"style": "rule"
} | {
"index": 8555,
"need_tools_kwargs": true,
"question": "How many voices does the Yamaha SHS-10 (1987) contain onboard?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "19 July 2009",
"style": "rule"
} | {
"index": 8556,
"need_tools_kwargs": true,
"question": "When did Herny Surtees pass away?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8557,
"need_tools_kwargs": true,
"question": "Do both directors of films Swiss Family Robinson (1940 film) and The Driller Killer share the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "JF",
"style": "rule"
} | {
"index": 8558,
"need_tools_kwargs": true,
"question": "What is the county code for Lakeside Village?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "April 25, 1988",
"style": "rule"
} | {
"index": 8559,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Spectre Of The Bride?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Brooklyn",
"style": "rule"
} | {
"index": 8560,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Confidentially Connie?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 13, 2000",
"style": "rule"
} | {
"index": 8561,
"need_tools_kwargs": true,
"question": "When did Stan Hough's wife 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": "New York",
"style": "rule"
} | {
"index": 8562,
"need_tools_kwargs": true,
"question": "Where did the composer of song Steel And Glass 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": "164,850",
"style": "rule"
} | {
"index": 8563,
"need_tools_kwargs": true,
"question": "What is the sum of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 3?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "August 1, 1942",
"style": "rule"
} | {
"index": 8564,
"need_tools_kwargs": true,
"question": "What is the date of birth of the composer of song Scarlet Begonias?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Harry Potter and the Philosopher's Stone",
"style": "rule"
} | {
"index": 8565,
"need_tools_kwargs": true,
"question": "What movie had Legos based off of it and was written by Steve Kloves?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Foggia",
"style": "rule"
} | {
"index": 8566,
"need_tools_kwargs": true,
"question": "Where was the director of film Cavalcade Of Song born?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "150",
"style": "rule"
} | {
"index": 8567,
"need_tools_kwargs": true,
"question": "Solve the puzzle UHA = LCM(UH, UA, HA). Here, U, H, and A are three distinct digits. Two-digit and three-digit numbers cannot start with zero. Recall that the LCM of several natural numbers is the smallest natural number that is divisible by each of them.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Raggedy Ann",
"style": "rule"
} | {
"index": 8568,
"need_tools_kwargs": true,
"question": "What is the name of this character created by this American artist, political cartoonist, children's book author and illustrator, and songwriter, both December 24, 1980?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "891",
"style": "rule"
} | {
"index": 8569,
"need_tools_kwargs": true,
"question": "Let $a$ be the sum of the numbers:\n\n$99 \\times 0.9$\n\n$999 \\times 0.9$\n\n$9999 \\times 0.9$\n\n$\\vdots$\n\n$999\\cdots 9 \\times 0.9$\n\nwhere the final number in the list is $0.9$ times a number written as a string of $101$ digits all equal to $9$.\nFind the sum of the digits in the number $a$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "[\\frac{1}{2}, 1)",
"style": "rule"
} | {
"index": 8570,
"need_tools_kwargs": true,
"question": "Given that $F\\_1$ and $F\\_2$ are the two foci of an ellipse, and $P$ is a point on the ellipse such that $\\angle F\\_1 P F\\_2 = 60^\\circ$, determine the range of the eccentricity $e$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8571,
"need_tools_kwargs": true,
"question": "Are Sutera and Rhodotypos both types of shrub?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Gibson",
"style": "rule"
} | {
"index": 8572,
"need_tools_kwargs": true,
"question": " Sun Red Sun is an EP written and recorded by a guitarist ranked #10 on \"Top 10 Metal Guitarists Of All Time\" by 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": "23 September 1969",
"style": "rule"
} | {
"index": 8573,
"need_tools_kwargs": true,
"question": "When did the director of film The Three Around Christine 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": "3",
"style": "rule"
} | {
"index": 8574,
"need_tools_kwargs": true,
"question": "For each positive integer $n$, let $k(n)$ be the number of ones in the binary representation of $2023 \\cdot n$. What is the minimum value of $k(n)$?",
"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": "Disneyland Space Stage",
"style": "rule"
} | {
"index": 8575,
"need_tools_kwargs": true,
"question": "Where in the park was the 3D science fiction film starring Michael Jackson located?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "A, B, C♯, D, E, F, F♯, G♯",
"style": "rule"
} | {
"index": 8576,
"need_tools_kwargs": true,
"question": "What are the notes of the bebop scale in Key A major?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "September 25, 1980",
"style": "rule"
} | {
"index": 8577,
"need_tools_kwargs": true,
"question": "When did the director of film They Who Dare 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": "287",
"style": "rule"
} | {
"index": 8578,
"need_tools_kwargs": true,
"question": "Five men and seven women stand in a line in random order. Let m and n be relatively prime positive integers so that $\\tfrac{m}{n}$ is the probability that each man stands next to at least one woman. Find $m + n.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "The Winter Queen",
"style": "rule"
} | {
"index": 8579,
"need_tools_kwargs": true,
"question": "What is the nickname of the monarch to whom Francis Nethersole was secretary?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\$288",
"style": "rule"
} | {
"index": 8580,
"need_tools_kwargs": true,
"question": "Jason borrowed money from his parents to buy a new surfboard. His parents have agreed to let him work off his debt by babysitting under the following conditions: his first hour of babysitting is worth $\\$2$, the second hour $\\$4$, the third hour $\\$6$, the fourth hour $\\$8$, the fifth hour $\\$10$, the sixth hour $\\$12$, the seventh hour $\\$2$, the eighth hour $\\$4$, etc. If he repays his debt by babysitting for 48 hours, how many dollars did he borrow?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-9",
"style": "rule"
} | {
"index": 8581,
"need_tools_kwargs": true,
"question": "Given \\((1+x-x^2)^{10} = a_0 + a_1 x + a_2 x^2 + \\cdots + a_{20} x^{20}\\), find \\( a_0 + a_1 + 2a_2 + 3a_3 + \\cdots + 20a_{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": "SBS",
"style": "rule"
} | {
"index": 8582,
"need_tools_kwargs": true,
"question": "The singer known as the \"Ballad Prince\" was on a romantic comedy that aired on what state-run channel from August 11 to September 30, 2010?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Santa Monica",
"style": "rule"
} | {
"index": 8583,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Hoodlum Empire?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4.08333",
"style": "rule"
} | {
"index": 8584,
"need_tools_kwargs": true,
"question": "Suppose that \\((1+\\sec \\theta)(1+\\csc \\theta)=6\\). Determine the value of \\((1+\\tan \\theta)(1+\\cot \\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": "Bob Dylan",
"style": "rule"
} | {
"index": 8585,
"need_tools_kwargs": true,
"question": "Who is the father of the director of film American Wedding?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2,4",
"style": "rule"
} | {
"index": 8586,
"need_tools_kwargs": true,
"question": "Let\n\\[\\mathbf{M} = \\begin{pmatrix} a & b & c \\\\ b & c & a \\\\ c & a & b \\end{pmatrix}\\]be a matrix with complex entries such that $\\mathbf{M}^2 = \\mathbf{I}.$ If $abc = 1,$ then find the possible values of $a^3 + b^3 + c^3.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "135",
"style": "rule"
} | {
"index": 8587,
"need_tools_kwargs": true,
"question": "The villages Arkadino, Borisovo, and Vadimovo are connected by straight roads in pairs. Adjacent to the road between Arkadino and Borisovo is a square field, one side of which completely coincides with this road. Adjacent to the road between Borisovo and Vadimovo is a rectangular field, one side of which completely coincides with this road, and the other side is 4 times longer. Adjacent to the road between Arkadino and Vadimovo is a rectangular forest, one side of which completely coincides with this road, and the other side is 12 km. The area of the forest is 45 square km more than the sum of the areas of the fields. Find the total area of the forest and fields in square km.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 January 1996",
"style": "rule"
} | {
"index": 8588,
"need_tools_kwargs": true,
"question": "When did the director of film Kembang-Kembang Plastik 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": "17.1875\\%",
"style": "rule"
} | {
"index": 8589,
"need_tools_kwargs": true,
"question": "What percent of the square $EFGH$ is shaded? All angles in the diagram are right angles, and the side length of the square is 8 units. In this square:\n- A smaller square in one corner measuring 2 units per side is shaded.\n- A larger square region, excluding a central square of side 3 units, occupying from corners (2,2) to (6,6) is shaded.\n- The remaining regions are not shaded.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Naomi Grace Scott",
"style": "rule"
} | {
"index": 8590,
"need_tools_kwargs": true,
"question": "Who is set to appear in the remake of a 1992 movie that's based on One Thousand and One Nights?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 8591,
"need_tools_kwargs": true,
"question": "Two circles $A$ and $B$ , both with radius $1$ , touch each other externally. \nFour circles $P, Q, R$ and $S$ , all four with the same radius $r$ , lie such that $P$ externally touches on $A, B, Q$ and $S$ , $Q$ externally touches on $P, B$ and $R$ , $R$ externally touches on $A, B, Q$ and $S$ , $S$ externally touches on $P, A$ and $R$ . \nCalculate the length of $r.$ [asy]\nunitsize(0.3 cm);\n\npair A, B, P, Q, R, S;\nreal r = (3 + sqrt(17))/2;\n\nA = (-1,0);\nB = (1,0);\nP = intersectionpoint(arc(A,r + 1,0,180), arc(B,r + 1,0,180));\nR = -P;\nQ = (r + 2,0);\nS = (-r - 2,0);\n\ndraw(Circle(A,1));\ndraw(Circle(B,1));\ndraw(Circle(P,r));\ndraw(Circle(Q,r));\ndraw(Circle(R,r));\ndraw(Circle(S,r));\n\nlabel(\" $A$ \", A);\nlabel(\" $B$ \", B);\nlabel(\" $P$ \", P);\nlabel(\" $Q$ \", Q);\nlabel(\" $R$ \", R);\nlabel(\" $S$ \", S);\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": "Cape Angela",
"style": "rule"
} | {
"index": 8592,
"need_tools_kwargs": true,
"question": "What is the northernmost point of the country that hosted the 2001 Mediterranean Games?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 \\leqslant k \\leqslant \\frac{1}{2}",
"style": "rule"
} | {
"index": 8593,
"need_tools_kwargs": true,
"question": "Given the sets $A=\\{x\\mid-3\\leqslant x\\leqslant 2\\}$ and $B=\\{x\\mid2k-1\\leqslant x\\leqslant 2k+1\\}$, and $A\\cap B=B$, find the range of values for the real number $k$.",
"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": "May 10, 1890",
"style": "rule"
} | {
"index": 8594,
"need_tools_kwargs": true,
"question": "When was the director of film The Gorgeous Hussy 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": "498",
"style": "rule"
} | {
"index": 8595,
"need_tools_kwargs": true,
"question": "Arrange the 6 numbers $2, 0, 1, 9, 20, 19$ in any order to form an 8-digit number (the first digit is not 0). How many different 8-digit numbers can be generated?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "60",
"style": "rule"
} | {
"index": 8596,
"need_tools_kwargs": true,
"question": "Determine the number of 7-combinations of the multiset $S = \\{4 \\cdot a, 4 \\cdot b, 3 \\cdot c, 3 \\cdot d\\}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "stroke",
"style": "rule"
} | {
"index": 8597,
"need_tools_kwargs": true,
"question": "What is the cause of death of Margret Nissen'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": "6",
"style": "rule"
} | {
"index": 8598,
"need_tools_kwargs": true,
"question": "For each positive integer \\( n \\), define \\( T(n) \\) as the number of sequences of length \\( n \\) consisting solely of the letters \\( C \\) and \\( D \\), with the restriction that there can be no more than two \\( C \\)s in a row and no more than two \\( D \\)s in a row. Calculate the remainder when \\( T(2023) \\) is divided by \\( 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": "-64e - 54",
"style": "rule"
} | {
"index": 8599,
"need_tools_kwargs": true,
"question": "Let \\(\\mathbf{a} = \\begin{pmatrix} 4 \\\\ -7 \\\\ 2 \\end{pmatrix}\\), \\(\\mathbf{b} = \\begin{pmatrix} -1 \\\\ e \\\\ 3 \\end{pmatrix}\\), and \\(\\mathbf{c} = \\begin{pmatrix} 6 \\\\ 3 \\\\ -5 \\end{pmatrix}\\). Compute\n\\[\n(\\mathbf{a} + \\mathbf{b}) \\cdot [(\\mathbf{b} + \\mathbf{c}) \\times (\\mathbf{c} + \\mathbf{a})].\n\\]",
"split": "train"
} | null |
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