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{19}{9} + \\frac{15}{9} \\sqrt{11}",
"style": "rule"
} | {
"index": 7000,
"need_tools_kwargs": true,
"question": "Let \\( b_1, b_2, b_3, \\dots \\) be a sequence of real numbers satisfying\n\\[ b_n = b_{n-1} b_{n+1} \\]\nfor all \\( n \\ge 2 \\). If \\( b_1 = 2 + \\sqrt{11} \\) and \\( b_{2023} = 17 + \\sqrt{11} \\), then determine \\( b_{2056} \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0.5",
"style": "rule"
} | {
"index": 7001,
"need_tools_kwargs": true,
"question": "Let $\\omega$ be a circle of radius 1 centered at $O$. Let $B$ be a point on $\\omega$, and let $l$ be the line tangent to $\\omega$ at $B$. Let $A$ be on $l$ such that $\\angle AOB = 60^{\\circ}$. Let $C$ be the foot of the perpendicular from $B$ to $OA$. Find the length of line segment $OC$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Kerala",
"style": "rule"
} | {
"index": 7002,
"need_tools_kwargs": true,
"question": "What is the place of birth of the composer of film Kazhukan?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Alan Stewart Paton",
"style": "rule"
} | {
"index": 7003,
"need_tools_kwargs": true,
"question": "In between John Millington Synge and Alan Paton, who was a South African author and anti-apartheid activist?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 26, 1900",
"style": "rule"
} | {
"index": 7004,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film Sheriff Of Las Vegas?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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{5}}{5}",
"style": "rule"
} | {
"index": 7005,
"need_tools_kwargs": true,
"question": "The real numbers $c, b, a$ form an arithmetic sequence. The quadratic equation $ax^2+bx+c=0$ has exactly one root. Given that $a = 5, c = 1$, find this root. Assume $b, a, c \\geq 0$.\nA) $-\\frac{1}{5}$\nB) $-\\frac{\\sqrt{5}}{5}$\nC) $-\\frac{2\\sqrt{5}}{5}$\nD) $-\\frac{3\\sqrt{5}}{5}$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(3,-2,2)",
"style": "rule"
} | {
"index": 7006,
"need_tools_kwargs": true,
"question": "A certain regular tetrahedron has three of its vertices at the points $(0,1,2),$ $(4,2,1),$ and $(3,1,5).$ Find the coordinates of the fourth vertex, given that they are also all integers.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Union County",
"style": "rule"
} | {
"index": 7007,
"need_tools_kwargs": true,
"question": "In what county is the city David Graham Baird died in 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": "Consistent",
"style": "rule"
} | {
"index": 7008,
"need_tools_kwargs": true,
"question": "After the report by Fortune on October 4, 2023, regarding Sam Bankman-Fried's use of a front for secret access to customer funds, and the subsequent report by TechCrunch on October 7, 2023, alleging that Sam Bankman-Fried knowingly committed fraud, did The Verge report on Sam Bankman-Fried's trial indicate consistent or inconsistent information regarding his actions related to customer funds?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "television personality",
"style": "rule"
} | {
"index": 7009,
"need_tools_kwargs": true,
"question": "Heritage of Satan is the ninth studio album by Czech black/heavy metal band Root and counts with many guest musicians, such as a Polish musician who was also a 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": "December 15, 1891",
"style": "rule"
} | {
"index": 7010,
"need_tools_kwargs": true,
"question": "When was father of the Carter Family 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": "9 February 1965",
"style": "rule"
} | {
"index": 7011,
"need_tools_kwargs": true,
"question": "When is Bisi Adeleye-Fayemi's husband's birthday?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1934, 1936, and 1939–1940",
"style": "rule"
} | {
"index": 7012,
"need_tools_kwargs": true,
"question": "Woody Wuthrie wrote the song \"Do Re Mi\" which was about migrants and their experiences when they arrive in California and are greeted with severe storms that came in waves in what years?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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\\sqrt{3}",
"style": "rule"
} | {
"index": 7013,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, $\\angle BAC = 60^\\circ$. The angle bisector of $\\angle BAC$, line segment $AD$, intersects $BC$ at $D$ and satisfies $\\overrightarrow{AD} = \\frac{1}{4} \\overrightarrow{AC} + t \\overrightarrow{AB}$. Given that $AB = 8$, find the length of $AD$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7014,
"need_tools_kwargs": true,
"question": "Do director of film Beauty and Bullets and director of film Clear and Present Danger (film) share the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1346",
"style": "rule"
} | {
"index": 7015,
"need_tools_kwargs": true,
"question": "If a positive integer \\( n \\) makes the equation \\( x^{3} + y^{3} = z^{n} \\) have a positive integer solution \\( (x, y, z) \\), then \\( n \\) is called a \"good number.\" How many good numbers are there that do not exceed 2,019?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7016,
"need_tools_kwargs": true,
"question": "Vikentiy left the city for the village, and at the same time, Afanasy left the village for the city. Find the distance between the village and the city, given that the distance between the pedestrians was 2 km twice: first, when Vikentiy had covered half the distance to the village, and then when Afanasy had covered one-third of the distance to the 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": "153",
"style": "rule"
} | {
"index": 7017,
"need_tools_kwargs": true,
"question": "Let \\( a, b, c, d, e \\) be nonnegative integers such that \\( 625a + 250b + 100c + 40d + 16e = 15^3 \\). What is the maximum possible value of \\( a + b + c + d + 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": "American",
"style": "rule"
} | {
"index": 7018,
"need_tools_kwargs": true,
"question": "Which country the composer of song Honor To Us All 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... | qa | {
"ground_truth": "Scribner",
"style": "rule"
} | {
"index": 7019,
"need_tools_kwargs": true,
"question": "What publisher published Anthony Doerr's Pulitzer Prize fiction novel?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7020,
"need_tools_kwargs": true,
"question": "A fisherman put the three largest fish, which make up $35\\%$ of his daily catch's total weight, into the freezer. The three smallest fish, which together constitute $\\frac{5}{13}$ of the remaining part, were taken by the cat, and the rest were cooked for lunch. How many fish did the fisherman catch?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Dwight D. Eisenhower",
"style": "rule"
} | {
"index": 7021,
"need_tools_kwargs": true,
"question": "During his tenure as Ambassador to Vietnam, Donal Read Heath advocated and carried out American policy under a United States Secretary of State for what president? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{7}{48}",
"style": "rule"
} | {
"index": 7022,
"need_tools_kwargs": true,
"question": "A larger cube with edges measuring 4 inches is constructed from 64 smaller cubes, each with edges of 1 inch. Among these smaller cubes, 50 are colored blue and 14 are colored yellow. If the arrangement of the yellow cubes is optimized to minimize their visible surface area on the exterior of the larger cube, what fraction of the large cube's total surface area is yellow?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "prostate cancer",
"style": "rule"
} | {
"index": 7023,
"need_tools_kwargs": true,
"question": "What is the cause of death of Jean-Christophe Mitterrand'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": "-1",
"style": "rule"
} | {
"index": 7024,
"need_tools_kwargs": true,
"question": "Let \\( P-ABCD \\) be a regular quadrilateral pyramid. The dihedral angle between a lateral face and the base is \\( \\alpha \\), and the dihedral angle between two adjacent lateral faces is \\( \\beta \\). Find \\( 2 \\cos \\beta + \\cos 2 \\alpha \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "108",
"style": "rule"
} | {
"index": 7025,
"need_tools_kwargs": true,
"question": "Triangles $\\triangle ABC$ and $\\triangle A'B'C'$ lie in the coordinate plane with vertices $A(0,0)$, $B(0,12)$, $C(16,0)$, $A'(24,18)$, $B'(36,18)$, $C'(24,2)$. A rotation of $m$ degrees clockwise around the point $(x,y)$ where $0<m<180$, will transform $\\triangle ABC$ to $\\triangle A'B'C'$. Find $m+x+y$.\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": "15_{13}",
"style": "rule"
} | {
"index": 7026,
"need_tools_kwargs": true,
"question": "Convert \\(234_{10}\\) to base 13. Represent \\(10\\) as \\(A\\), \\(11\\) as \\(B\\), and \\(12\\) as \\(C\\), if necessary.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"index": 7027,
"need_tools_kwargs": true,
"question": "The total number of football teams from the East and West participating in the Super League does not exceed 30 teams. The East has 1 more team than the West. Every pair of teams played a match against each other: a win earns 3 points, a draw earns 1 point, and a loss earns 0 points. After the league ended, the results showed that the ratio of wins to draws among teams within the East, within the West, and between the East and West is 2:1. However, the total points of all teams in the East is 34 points more than the total points of all teams in the West. How many teams from the East and how many teams from the West participated in the competition?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Elisabeth Hauptmann",
"style": "rule"
} | {
"index": 7028,
"need_tools_kwargs": true,
"question": "Kurt Julian Weillwas a German composer, active from the 1920s in his native country, and in his later years in the United States, with Brecht, he developed productions such as his best-known work, the Threepenny Opera is a \"play with music\" by Bertolt Brecht and who, adapted from John Gay's 18th-century English ballad opera, \"The Beggar's Opera\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Lowe's",
"style": "rule"
} | {
"index": 7029,
"need_tools_kwargs": true,
"question": "What is the name of this Fortune 500 American company that operates a chain of retail home improvement stores that sponsored House Rules?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "James Elliot Bourne",
"style": "rule"
} | {
"index": 7030,
"need_tools_kwargs": true,
"question": "Which singer has been part of more bands, Richard Ashcroft or James Bourne?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0.08",
"style": "rule"
} | {
"index": 7031,
"need_tools_kwargs": true,
"question": "$\\frac{2}{25}=$\n$\\text{(A)}\\ .008 \\qquad \\text{(B)}\\ .08 \\qquad \\text{(C)}\\ .8 \\qquad \\text{(D)}\\ 1.25 \\qquad \\text{(E)}\\ 12.5$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{3 - \\sqrt{6} + \\sqrt{42}}{6}",
"style": "rule"
} | {
"index": 7032,
"need_tools_kwargs": true,
"question": "Determine the value of \\[M = \\frac{\\sqrt{\\sqrt{7} + 3} - \\sqrt{\\sqrt{7} - 3}}{\\sqrt{\\sqrt{7} - 1}}+\\sqrt{4-2\\sqrt{3}}.\\]\nA) $\\frac{\\sqrt{7}}{\\sqrt{6}}$\nB) $\\frac{3 - \\sqrt{6} + \\sqrt{42}}{6}$\nC) $\\frac{\\sqrt{42}}{6}$\nD) $3 - \\sqrt{6}$",
"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": "17 \\, \\mathrm{m/s}",
"style": "rule"
} | {
"index": 7033,
"need_tools_kwargs": true,
"question": "A firework was thrown vertically upward with a speed of $20 \\, \\mathrm{m/s}$. One second after the start of the flight, it exploded into two unequal parts, with their masses in the ratio of $1:2$. The smaller fragment immediately after the explosion flew horizontally at a speed of $16 \\, \\mathrm{m/s}$. Find the magnitude of the speed of the second fragment (in $\\mathrm{m/s}$) immediately after the explosion. Assume the acceleration due to gravity is $10 \\, \\mathrm{m/s}^2$.",
"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": "20",
"style": "rule"
} | {
"index": 7034,
"need_tools_kwargs": true,
"question": "The diameter, in inches, of a sphere with twice the volume of a sphere of radius 9 inches can be expressed in the form $a\\sqrt[3]{b}$ where $a$ and $b$ are positive integers and $b$ contains no perfect cube factors. Compute $a+b$.",
"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": "Around \\, 20 \\, numbers",
"style": "rule"
} | {
"index": 7035,
"need_tools_kwargs": true,
"question": "How many four-digit numbers whose digits add up to $12$ are divisible by $11$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7036,
"need_tools_kwargs": true,
"question": "Let $a, b, c, d, e, f$ be non-negative real numbers satisfying $a + b + c + d + e + f = 6$. Find the maximal possible value of:\n\n$$abc + bcd + cde + def + efa + fab$$\n\nand determine all $6$-tuples $(a, b, c, d, e, f)$ for which this maximal value is achieved.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1074",
"style": "rule"
} | {
"index": 7037,
"need_tools_kwargs": true,
"question": "Let $a_n$ be the least positive integer the sum of whose digits is $n$. Find $a_1 + a_2 + a_3 + \\dots + a_{20}$.",
"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": "Hungarian",
"style": "rule"
} | {
"index": 7038,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Das Riesenrad?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7039,
"need_tools_kwargs": true,
"question": "In the following alpha-numeric puzzle, each letter represents a different non-zero digit. What are all possible values for $b+e+h$ ?\n\n $ \\begin{tabular}{cccc} &a&b&c &d&e&f + & g&h&i \\hline 1&6&6&5 \\end{tabular}$ *Proposed by Eugene 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": "1112131415",
"style": "rule"
} | {
"index": 7040,
"need_tools_kwargs": true,
"question": "Using five 3's, arithmetic operations, and exponentiation, form the numbers from 11 to 15.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\"Saturday Night Live\"",
"style": "rule"
} | {
"index": 7041,
"need_tools_kwargs": true,
"question": "What live series did the American comedian, who was replaced by Andrew Lawrence in \"Stand Up for the Week,\" write and perform in?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "11 January 2012",
"style": "rule"
} | {
"index": 7042,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Lakshmi Nivasam?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Global Television Network",
"style": "rule"
} | {
"index": 7043,
"need_tools_kwargs": true,
"question": "The network that aired People in Conflict spent several years trailing what rival network? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Patricia Lea Jenkins",
"style": "rule"
} | {
"index": 7044,
"need_tools_kwargs": true,
"question": "Who is known for directing \"Monster\" and \"Wonder Woman\" , Umberto Lenzi or Patty Jenkins?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "16 May 1979",
"style": "rule"
} | {
"index": 7045,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Beast With Five Fingers?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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\\,|\\,0<x<2\\}",
"style": "rule"
} | {
"index": 7046,
"need_tools_kwargs": true,
"question": "Let set $M=\\{x\\,|\\,|x-1|<1\\}$, and $N=\\{x\\,|\\,x(x-3)<0\\}$, then $M\\cap N=$ ?",
"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": "30",
"style": "rule"
} | {
"index": 7047,
"need_tools_kwargs": true,
"question": "A positive two-digit number is divisible by 6 and is a multiple of 3. The product of its digits is a perfect square. What is the smallest such 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... | math | {
"ground_truth": "y = -\\frac{1}{2}x + 17.5",
"style": "rule"
} | {
"index": 7048,
"need_tools_kwargs": true,
"question": "One of the asymptotes of a hyperbola has equation $y=2x$. The foci of the hyperbola have the same $x-$coordinate, which is $7.$ Find the equation of the other asymptote of the hyperbola, giving your answer in the form \"$y = mx + b$\".",
"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": "a series of little tragedies",
"style": "rule"
} | {
"index": 7049,
"need_tools_kwargs": true,
"question": "How did the founder of the start up Catapult describe the show Against the Odds?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Roth v. United States",
"style": "rule"
} | {
"index": 7050,
"need_tools_kwargs": true,
"question": "Which occurred first, Phillips v. Martin Marietta Corp. or Roth v. United States?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7051,
"need_tools_kwargs": true,
"question": "Steph scored $15$ baskets out of $20$ attempts in the first half of a game, and $10$ baskets out of $10$ attempts in the second half. Candace took $12$ attempts in the first half and $18$ attempts in the second. In each half, Steph scored a higher percentage of baskets than Candace. Surprisingly they ended with the same overall percentage of baskets scored. How many more baskets did Candace score in the second half than in the first?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7052,
"need_tools_kwargs": true,
"question": "Do both directors of films Shegavicha Rana Gajanan and Her Alibi have the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4.71238898038469",
"style": "rule"
} | {
"index": 7053,
"need_tools_kwargs": true,
"question": "Calculate the area enclosed by the cardioid $\\rho = 1 + \\cos \\varphi$ for $0 \\leqslant \\varphi \\leqslant 2\\pi$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7054,
"need_tools_kwargs": true,
"question": "Three circles with radii $23$, $46$, and $69$ are tangent to each other as shown in the figure below (figure is not drawn to scale). Find the radius of the largest circle that can fit inside the shaded region. [img]https://cdn.artofproblemsolving.com/attachments/6/d/158abc178e4ddd72541580958a4ee2348b2026.png[/img]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7055,
"need_tools_kwargs": true,
"question": "Given a sequence \\(\\left\\{a_{n}\\right\\}\\) where \\(a_{n} + a_{n+1} = n \\cdot (-1)^{\\frac{n(n+1)}{2}}\\), with the sum of the first \\(n\\) terms being \\(S_{n}\\), and \\(m + S_{2015} = -1007\\), and \\(a_{1} \\cdot m > 0\\). Find the minimum value of \\(\\frac{1}{a_{1}} + \\frac{4}{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": "849",
"style": "rule"
} | {
"index": 7056,
"need_tools_kwargs": true,
"question": "Alpha and Beta both took part in a two-day problem-solving competition. At the end of the second day, each had attempted questions worth a total of $500$ points. Alpha scored $160$ points out of $300$ points attempted on the first day, and scored $140$ points out of $200$ points attempted on the second day. Beta who did not attempt $300$ points on the first day, had a positive integer score on each of the two days, and Beta's daily success rate (points scored divided by points attempted) on each day was less than Alpha's on that day. Alpha's two-day success ratio was $300/500 = 3/5$. The largest possible two-day success ratio that Beta could achieve is $m/n,$ where $m$ and $n$ are relatively prime positive integers. What is $m+n$ ?",
"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": "American",
"style": "rule"
} | {
"index": 7057,
"need_tools_kwargs": true,
"question": "What nationality is the composer of song Three Little Words (Song)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "October 26, 2015",
"style": "rule"
} | {
"index": 7058,
"need_tools_kwargs": true,
"question": "\"The Martian Chronicles\" is the eleventh episode of a show that originally premiered when?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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{31}{150}",
"style": "rule"
} | {
"index": 7059,
"need_tools_kwargs": true,
"question": "Two distinct numbers \\( a \\) and \\( b \\) are chosen randomly from the set \\( \\{2, 2^2, 2^3, \\ldots, 2^{25}\\} \\). Determine the probability that \\( \\log_a b \\) is an integer.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2:1",
"style": "rule"
} | {
"index": 7060,
"need_tools_kwargs": true,
"question": "Between them, Mark and Sarah have 24 traffic tickets. Mark has a certain ratio of parking tickets as compared to Sarah, and they each have an equal number of speeding tickets. Sarah has 6 speeding tickets, and Mark has 8 parking tickets. What is the ratio of Mark's parking tickets to Sarah's parking tickets?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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{2}{3}",
"style": "rule"
} | {
"index": 7061,
"need_tools_kwargs": true,
"question": "The line $y - x \\sqrt{3} + 3 = 0$ intersects the parabola $2y^2 = 2x + 3$ at points $A$ and $B.$ Let $P = (\\sqrt{3},0).$ Find $|AP - BP|.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "5,542",
"style": "rule"
} | {
"index": 7062,
"need_tools_kwargs": true,
"question": "what was the population of the town where the Greek Revival Church on Maine State Route 231 is located in 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": "William James Murray",
"style": "rule"
} | {
"index": 7063,
"need_tools_kwargs": true,
"question": "Peter Venkman was a character portrayed by which American actor and comedian?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "899",
"style": "rule"
} | {
"index": 7064,
"need_tools_kwargs": true,
"question": "Find the greatest integer $n < 1000$ for which $4n^3 - 3n$ is the product of two consecutive odd integers.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"index": 7065,
"need_tools_kwargs": true,
"question": "What is the maximum value of the expression $-7r^2 + 50r - 20$ for real $r$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(r, \\theta) = (10, 0)",
"style": "rule"
} | {
"index": 7066,
"need_tools_kwargs": true,
"question": "In a polar coordinate system, the midpoint of the line segment whose endpoints are $\\left( 10, \\frac{\\pi}{6} \\right)$ and $\\left( 10, \\frac{11\\pi}{6} \\right)$ is the point $(r, \\theta).$ Enter $(r, \\theta),$ where $r > 0$ and $0 \\le \\theta < 2 \\pi.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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, 3, 7)",
"style": "rule"
} | {
"index": 7067,
"need_tools_kwargs": true,
"question": "\nFind the point of intersection between the line and the plane.\n\n$\\frac{x-1}{8}=\\frac{y-8}{-5}=\\frac{z+5}{12}$\n\n$x-2 y-3 z+18=0$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "honky-tonk",
"style": "rule"
} | {
"index": 7068,
"need_tools_kwargs": true,
"question": "America's Music: The Roots of Country is a film that touches on which bar-style music, common in the South US?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Atlantic",
"style": "rule"
} | {
"index": 7069,
"need_tools_kwargs": true,
"question": "What continent of origin does Mouille Point and Victoria & Alfred Waterfront have in common?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Grammy Award for Best New Artist",
"style": "rule"
} | {
"index": 7070,
"need_tools_kwargs": true,
"question": "Which award the performer of song Haunt Me received?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "in Livonia, Michigan",
"style": "rule"
} | {
"index": 7071,
"need_tools_kwargs": true,
"question": "Lourdes Gray Wolves' Athletic Conference is headquartered 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... | math | {
"ground_truth": "122",
"style": "rule"
} | {
"index": 7072,
"need_tools_kwargs": true,
"question": "$(\\sqrt{x}+2)^{2 n+1}$ 的展开式中, $x$ 的整数次幂的各项系数之和为 $\\qquad$.请给出\nn=2时的结果",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 2, 2003",
"style": "rule"
} | {
"index": 7073,
"need_tools_kwargs": true,
"question": "What is the date of death of Abdullah Khadr'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": "2",
"style": "rule"
} | {
"index": 7074,
"need_tools_kwargs": true,
"question": "设 a,b 是两个不同的正整数，a(a+2), ab, a(b+2), (a+2)b, (a+2)(b+2), b(b+2) 这 6 个数中最多有多少个完全平方数？",
"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... | qa | {
"ground_truth": "Code Of The Mounted",
"style": "rule"
} | {
"index": 7075,
"need_tools_kwargs": true,
"question": "Which film has the director born first, Tamango or Code Of The Mounted?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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\\pi^3",
"style": "rule"
} | {
"index": 7076,
"need_tools_kwargs": true,
"question": "If \\( f(x) = x^3 \\cos x + 3x^2 + 7\\sin x \\), evaluate \\( f(\\pi) - f(-\\pi) \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7077,
"need_tools_kwargs": true,
"question": "Compose the equation of the plane $\\alpha$ that passes through the midpoint $M$ of segment $AD$ and is perpendicular to line $CB$, given $A(-1, 2, -3)$, $D(-5, 6, -1)$, $C(-3, 10, -5)$, and $B(3, 4, 1)$.",
"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... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 7078,
"need_tools_kwargs": true,
"question": "Do both films, Unfinished Business (1985 Australian Film) and Tai-Pan (Film), 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": "Objectivist",
"style": "rule"
} | {
"index": 7079,
"need_tools_kwargs": true,
"question": "The Jargon Society has published books by the founder and primary theorist of what group of poets?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(-3,4)",
"style": "rule"
} | {
"index": 7080,
"need_tools_kwargs": true,
"question": "Given that the coordinates of point \\\\(M\\\\) are \\\\((5,θ)\\\\), and \\\\(\\tan θ = -\\dfrac{4}{3}\\\\), with \\\\(\\dfrac{π}{2} < θ < π\\\\), then the Cartesian coordinates of point \\\\(M\\\\) are \\_\\_\\_\\_\\_\\_.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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",
"style": "rule"
} | {
"index": 7081,
"need_tools_kwargs": true,
"question": "Inna has two closed boxes - a square one and a round one. She was told that the round box contains 3 white and 10 black balls, while the square box contains 8 black balls. In one move, Inna can blindly take a ball from any box and either throw it away or transfer it to the other box. Inna wants to make it so that both boxes have the same contents. What is the minimum number of moves Inna can guaranteedly achieve this?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7082,
"need_tools_kwargs": true,
"question": "Are both Troy Christian High School and Greenwood High School (Arkansas) located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "128",
"style": "rule"
} | {
"index": 7083,
"need_tools_kwargs": true,
"question": "How many ways can the integers from $-7$ to $7$ inclusive be arranged in a sequence such that the absolute value of the numbers in the sequence does not decrease?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-22",
"style": "rule"
} | {
"index": 7084,
"need_tools_kwargs": true,
"question": "Line $L$ is the intersection of the planes $x + 2y + 3z = 2$ and $x - y + z = 3.$ A plane $P,$ different from both these planes, contains line $L,$ and has a distance of $\\frac{2}{\\sqrt{3}}$ from the point $(3,1,-1).$ Find the equation of plane $P.$ Enter your answer in the form\n\\[ax + by + cz + d = 0,\\] where $a,$ $b,$ $c,$ $d$ are integers, $a > 0,$ and $\\gcd(|a|,|b|,|c|,|d|) = 1.$ Please provide the value of a + b + c + 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": "yes",
"style": "rule"
} | {
"index": 7085,
"need_tools_kwargs": true,
"question": "Are both Basl Kuh and Lahijan, East Azerbaijan located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"index": 7086,
"need_tools_kwargs": true,
"question": "A 10-cm stick has a mark at each centimeter. By breaking the stick at two of these nine marks at random, the stick is split into three pieces, each of integer length. What is the probability that the three lengths could be the three side lengths of a triangle? 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... | qa | {
"ground_truth": "León, Guanajuato, Mexico",
"style": "rule"
} | {
"index": 7087,
"need_tools_kwargs": true,
"question": "The team expected to make their home stadium upon its proposed completion is based 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": "American comedy film",
"style": "rule"
} | {
"index": 7088,
"need_tools_kwargs": true,
"question": "The Countess of Monte Cristo starring Reginald Owen is what type of 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": "1929",
"style": "rule"
} | {
"index": 7089,
"need_tools_kwargs": true,
"question": "In what year was the man that bought a sports franchise from members of the Bruce Norris family in 1982 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": "\\frac{3}{28}",
"style": "rule"
} | {
"index": 7090,
"need_tools_kwargs": true,
"question": "From the set \\(\\left\\{-3, -\\frac{5}{4}, -\\frac{1}{2}, 0, \\frac{1}{3}, 1, \\frac{4}{5}, 2\\right\\}\\), two numbers are drawn without replacement. Find the concept of the two numbers being the slopes of perpendicular lines.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Frank Liddell, Chuck Ainlay, and Glenn Worf",
"style": "rule"
} | {
"index": 7091,
"need_tools_kwargs": true,
"question": "Who produced the song \"Smokin' and Drinkin?\" ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 richest living American",
"style": "rule"
} | {
"index": 7092,
"need_tools_kwargs": true,
"question": "What was the American industrialist that founded an American oil marketing company named by a 1957 \"Fortune\" magazine?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Aguecheek",
"style": "rule"
} | {
"index": 7093,
"need_tools_kwargs": true,
"question": "Steve Peterson appeared as which character in a Shakespeare comedy written for the close of the Christmas season?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Tigard",
"style": "rule"
} | {
"index": 7094,
"need_tools_kwargs": true,
"question": "Where did Shoshana Bean perform at the Broadway Rose Theatre Company?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Kathleen K. Gilmore",
"style": "rule"
} | {
"index": 7095,
"need_tools_kwargs": true,
"question": "Who lived longer, Kathleen K. Gilmore or Isidore Finance?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7096,
"need_tools_kwargs": true,
"question": "For what base is the representation of $625_{10}$ a four-digit number whose final two digits are odd?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"index": 7097,
"need_tools_kwargs": true,
"question": "A horizontal disc of diameter 3 inches is rotating at 4 revolutions per minute. A light is shining at a distant point in the plane of the disc. An insect is placed at the edge of the disc furthest from the light, facing the light. It at once starts crawling, and crawls so as always to face the light, at 1 inch per second. Set up the differential equation of motion, and find at what point the insect again reaches the edge of the disc. The original answer indicates that the insect leaves the disc at a point with a coordinate in the format \\frac{m}{n},0. 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": "\\frac{140}{3}^\\circ",
"style": "rule"
} | {
"index": 7098,
"need_tools_kwargs": true,
"question": "What is the number of degrees in $x$?\n```\n[asy]\nimport olympiad; import geometry; defaultpen(linewidth(0.8)); size(150);\npair A = origin, B = (Cos(60),Sin(60)), C = (Cos(60) + Sin(60)*sqrt(3),0);\ndraw(A--B--C--cycle);\nlabel(\"$40^\\circ$\",C-(0.3,-.03),NW);\nlabel(\"$2x$\",B + (-.10,-0.1),SE);\nlabel(\"$x$\",A+(0.15,.03),NE);\n[/asy]\n```",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": 7099,
"need_tools_kwargs": true,
"question": "求所有的函数 f:\\bR\\rightarrow\\bR，使得对任意实数 x,y，均有f(f(x+y)f(x-y))=x^2-yf(y). 原始答案是关于x的表达式af(x)=bx+c，请给出a+b+c的值。",
"split": "train"
} | null |
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