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": "4\\sqrt{2}",
"style": "rule"
} | {
"index": 1900,
"need_tools_kwargs": true,
"question": "In a right triangle \\( ABC \\) with \\( AB \\) as the hypotenuse, points \\( D \\) and \\( E \\) divide the hypotenuse into four equal lengths. If \\( AD = \\tan(x) \\) and \\( AE = \\cot(x) \\) for a real number \\( x \\) such that \\( 0 < x < \\frac{\\pi}{2} \\), determine the length of the hypotenuse \\( AB \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1901,
"need_tools_kwargs": true,
"question": "In the diagram below, \\( AB = AC = 150 \\), \\( AD = 50 \\), and \\( CF = 100 \\). Compute \\( \\frac{[CEF]}{[DBE]} \\).\n\n[asy]\nunitsize(0.025 cm);\n\npair A, B, C, D, E, F;\n\nB = (0,0);\nC = (100,0);\nA = intersectionpoint(arc(B,150,0,180),arc(C,150,0,180));\nD = interp(A,B,50/150);\nF = interp(A,C,(150 + 100)/150);\nE = extension(B,C,D,F);\n\ndraw(C--B--A--F--D);\n\nlabel(\"$A$\", A, N);\nlabel(\"$B$\", B, SW);\nlabel(\"$C$\", C, SE);\nlabel(\"$D$\", D, W);\nlabel(\"$E$\", E, S);\nlabel(\"$F$\", F, SE);\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": "Pussy Galore was an American garage rock band that formed in Washington, D.C. in 1985",
"style": "rule"
} | {
"index": 1902,
"need_tools_kwargs": true,
"question": "Did Pussy Galore start their career before Jack's Mannequin?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "32",
"style": "rule"
} | {
"index": 1903,
"need_tools_kwargs": true,
"question": "a) What is the maximum number of squares on an $8 \\times 8$ board that can be colored black so that in every L-shaped corner of three squares, there is at least one uncolored square?\n\nb) What is the minimum number of squares on an $8 \\times 8$ board that must be colored black so that in every L-shaped corner of three squares, there is at least one black square?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1 May 1278",
"style": "rule"
} | {
"index": 1904,
"need_tools_kwargs": true,
"question": "What is the date of death of Isabella Of Villehardouin'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": "3",
"style": "rule"
} | {
"index": 1905,
"need_tools_kwargs": true,
"question": "How many types of polygon tiles of the same specification can be used to tile a floor without gaps?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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, Maine",
"style": "rule"
} | {
"index": 1906,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Prince Of The Plains?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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{48}{17}",
"style": "rule"
} | {
"index": 1907,
"need_tools_kwargs": true,
"question": "Let $A B C$ be a triangle with $A B=9, B C=10$, and $C A=17$. Let $B^{\\prime}$ be the reflection of the point $B$ over the line $C A$. Let $G$ be the centroid of triangle $A B C$, and let $G^{\\prime}$ be the centroid of triangle $A B^{\\prime} C$. Determine the length of segment $G G^{\\prime}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Brixton",
"style": "rule"
} | {
"index": 1908,
"need_tools_kwargs": true,
"question": "What is the place of birth of the performer of song What In The World?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3072",
"style": "rule"
} | {
"index": 1909,
"need_tools_kwargs": true,
"question": "Abdul and Chiang are standing $48$ feet apart in a field. Bharat is standing in the same field as far from Abdul as possible so that the angle formed by his lines of sight to Abdul and Chiang measures $60^\\circ$. What is the square of the distance (in feet) between Abdul and Bharat?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Gregori Aleksandrovich Margulis",
"style": "rule"
} | {
"index": 1910,
"need_tools_kwargs": true,
"question": "Which mathematician joined Yale in 1991, Grigory Margulis or Boris Galerkin?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "454590",
"style": "rule"
} | {
"index": 1911,
"need_tools_kwargs": true,
"question": "In a right isosceles triangle ABC, where AC = BC, points D and F are the midpoints of segments AB and BC, respectively. On ray DC, point E is marked such that AF = FE. Determine the angles of triangle AFE.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1912,
"need_tools_kwargs": true,
"question": "在平面直角坐标系 xOy 中，椭圆 C:\\dfrac{x^2}{a^2}+\\dfrac{y^2}{b^2}=1 (a>b>0) 的左、右焦点分别是 F_1,F_2。椭圆 C 的弦 ST 与 UV 分别平行于 x 轴与 y 轴，且相交于点 P。已知线段 PU, PS, PV, PT 的长分别为 1, 2, 3, 6，则 \\triangle PF_1F_2 的面积为\\sqrt{k}。请给出k的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "141",
"style": "rule"
} | {
"index": 1913,
"need_tools_kwargs": true,
"question": "A subset of the integers $1,2,\\cdots,150$ has the property that none of its members is 4 times another. What is the largest number of members such a subset can 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": "32",
"style": "rule"
} | {
"index": 1914,
"need_tools_kwargs": true,
"question": "A large cube is composed of \\(64\\) smaller cubes, forming a \\(4 \\times 4 \\times 4\\) structure. Each face of the large cube has a shading pattern that mirrors its opposite face. On one visible face, the shading includes the entire top row, the entire bottom row, and one cube in each corner of the second and third rows. Determine the total number of smaller cubes that have at least one face 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": "July 10, 1883",
"style": "rule"
} | {
"index": 1915,
"need_tools_kwargs": true,
"question": "When was the director of film Way For A Sailor 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": "France",
"style": "rule"
} | {
"index": 1916,
"need_tools_kwargs": true,
"question": "Which country Gian Gastone De' Medici, Grand Duke Of Tuscany's mother is from?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(5, 2, -1)",
"style": "rule"
} | {
"index": 1917,
"need_tools_kwargs": true,
"question": "Find the intersection point of the line and the plane.\n\n\\[\n\\frac{x-3}{2}=\\frac{y+1}{3}=\\frac{z+3}{2}\n\\]\n\n\\[\n3x + 4y + 7z - 16 = 0\n\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "26.67",
"style": "rule"
} | {
"index": 1918,
"need_tools_kwargs": true,
"question": "a small water pump would take 4 hours to fill an empty tank . a larger pump would take 1 / 2 hour to fill the same tank . how many hours would it take both pumps , working at their respective constant rates , to fill the empty tank if they began pumping at the same time ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Nandi Awards",
"style": "rule"
} | {
"index": 1919,
"need_tools_kwargs": true,
"question": "Which award the director of film Sardukupodaam Randi got?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Pullman Palace Car Company",
"style": "rule"
} | {
"index": 1920,
"need_tools_kwargs": true,
"question": "What company did the Mayor of the City of Buffalo who made beer with low alcohol content or no alcohol, become the foreman of?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Zwolle",
"style": "rule"
} | {
"index": 1921,
"need_tools_kwargs": true,
"question": "Edwin van der Sar spoke to the crowd after the fireworks incident on April 20, 2014 during the KNVB Cup final match. Which team won that game?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1922,
"need_tools_kwargs": true,
"question": "Are Shafiabad, Abyek and Dalabad both 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": "-9",
"style": "rule"
} | {
"index": 1923,
"need_tools_kwargs": true,
"question": "If the square roots of a positive number are $2a+6$ and $3-a$, then the value of $a$ is ____.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "48",
"style": "rule"
} | {
"index": 1924,
"need_tools_kwargs": true,
"question": "Teams \\( X \\) and \\( Y \\) are competing in a basketball tournament. Team \\( X \\) has won \\( \\frac{3}{4} \\) of its games, while team \\( Y \\) has won \\( \\frac{2}{3} \\) of its games. It is known that team \\( Y \\) has won 8 more games than team \\( X \\) and has lost 4 fewer games than team \\( X \\). Determine how many games team \\( X \\) has played.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 to July 1973",
"style": "rule"
} | {
"index": 1925,
"need_tools_kwargs": true,
"question": "\"Caravan\" is a song that was a concert highlight and was included on an an album that performances that were recorded in concerts from 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... | qa | {
"ground_truth": "rock band",
"style": "rule"
} | {
"index": 1926,
"need_tools_kwargs": true,
"question": "What do Pale Saints and The Waterboys 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... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 1927,
"need_tools_kwargs": true,
"question": "1989 equal circles are placed on a table without overlapping. Determine the minimum number of colors needed so that any two tangential circles are painted differently.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{\\sqrt{3}}{4}",
"style": "rule"
} | {
"index": 1928,
"need_tools_kwargs": true,
"question": "Given a regular tetrahedron with all four vertices lying on the surface of a sphere with radius 1, where the three vertices of the base are on a great circle of the sphere, find the volume of the regular tetrahedron.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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\\left(m+n\\right)\\left(m-n\\right)",
"style": "rule"
} | {
"index": 1929,
"need_tools_kwargs": true,
"question": "Factorize the expression: $am^{2}-an^{2}=$____.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Tyre",
"style": "rule"
} | {
"index": 1930,
"need_tools_kwargs": true,
"question": "Of the two possible places where Abdemon, king of Cyprus, was born, which one was also known as Sour?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1931,
"need_tools_kwargs": true,
"question": "One of the angles of a trapezoid is $30^{\\circ}$, and the lines containing the lateral sides of the trapezoid intersect at a right angle. Find the length of the shorter lateral side of the trapezoid if its midline is 10 and one of its bases is 8.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1932,
"need_tools_kwargs": true,
"question": "Find all solutions to the equation \\[\\frac{\\left(\\frac{x}{x+1}\\right)^2 + 11}{\\left(\\frac{x}{x+1}\\right)^2 + 1} = 2.\\] Enter all the solutions in the format -\\frac{m}{n}, where m and n are positive integers. Calculate 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": "25",
"style": "rule"
} | {
"index": 1933,
"need_tools_kwargs": true,
"question": "Let $x, y$, and $z$ be positive integers satisfying the following system of equations:\n$$x^2 +\\frac{2023}{x}= 2y^2$$\n$$y +\\frac{2028}{y^2} = z^2$$\n$$2z +\\frac{2025}{z^2} = xy$$\nFind $x + y + z$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "24",
"style": "rule"
} | {
"index": 1934,
"need_tools_kwargs": true,
"question": "Consider the sequence $1$, $\\frac{1}{2}$, $\\frac{2}{1}$, $\\frac{1}{3}$, $\\frac{2}{2}$, $\\frac{3}{1}$, $\\frac{1}{4}$, $\\frac{2}{3}$, $\\frac{3}{2}$, $\\frac{4}{1}$, ... Determine the position of $\\frac{3}{5}$ within this sequence.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "[2,22]",
"style": "rule"
} | {
"index": 1935,
"need_tools_kwargs": true,
"question": "Given a point P (3, 4) and a circle C: $(x-2)^2+y^2=4$, let A and B be two moving points on circle C such that $|AB|=2\\sqrt{3}$. Determine the range of values for the dot product $\\vec{OP}\\cdot(\\vec{OA}+\\vec{OB})$ (where O is the origin of the coordinate system).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1936,
"need_tools_kwargs": true,
"question": "已知双曲线 \\frac{x^2}{9}-\\frac{y^2}{16}=1 的左、右焦点分别为 F_1, F_2。过 F_1 的直线与左支交于 A, B 两点，且 \\frac{|AF_1|}{|AF_2|}=\\frac{1}{2}。求 \\triangle AF_1F_2 与 \\triangle ABF_2 的内切圆面积之比的形式为\\frac{m}{n}，请给出m+n的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 1937,
"need_tools_kwargs": true,
"question": "For a positive integer $n$, let $A(n)$ be the remainder when $n$ is divided by $11$. Define $T(n) = A(1) + A(2) + A(3) + \\ldots + A(n)$. Find the value of $A(T(2021))$.",
"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": "\\$18.40",
"style": "rule"
} | {
"index": 1938,
"need_tools_kwargs": true,
"question": "Martin bought 10 concert tickets, some at the full price of $2.00 per ticket, and some at a discounted price of $1.60 per ticket. He bought 4 discounted tickets. How much did he spend in total?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "128",
"style": "rule"
} | {
"index": 1939,
"need_tools_kwargs": true,
"question": "Josh writes the numbers from \\(1\\) to \\(150\\). He marks out \\(1\\), skips the next number (\\(2\\)), marks out \\(3\\), and continues this pattern of skipping one and marking out the next, until he reaches the end of the list. After that, he returns to the beginning, marks out the first remaining number (\\(2\\)), skips the next two numbers, marks out the next one, and continues this new pattern of skipping two and marking out one to the end. He repeats this process, each time increasing the number of skips by one more than the last round. Determine the last number remaining after all these passes.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Land of Ooo",
"style": "rule"
} | {
"index": 1940,
"need_tools_kwargs": true,
"question": "Lena Dunham guest stars as \"Betty\" on the 48th epidsode of a tv series set in what post apocalyptic land? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Hartford Whalers, New York Rangers",
"style": "rule"
} | {
"index": 1941,
"need_tools_kwargs": true,
"question": "Which two professional hock teams did both Ray Ferraro and Pat Verbeek play 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": "Bozeman, Montana",
"style": "rule"
} | {
"index": 1942,
"need_tools_kwargs": true,
"question": "What city, and state could you see the only known remains of the Piksi?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Aan",
"style": "rule"
} | {
"index": 1943,
"need_tools_kwargs": true,
"question": "Which film has the director died earlier, Aan or Effi Briest (1974 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... | math | {
"ground_truth": "119",
"style": "rule"
} | {
"index": 1944,
"need_tools_kwargs": true,
"question": "What is the maximum amount of small change one can have such that it is not possible to make change for one dollar, half a dollar, a quarter dollar, 10 cents, or 5 cents?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "11",
"style": "rule"
} | {
"index": 1945,
"need_tools_kwargs": true,
"question": "Ali chooses one of the stones from a group of $2005$ stones, marks this stone in a way that Betül cannot see the mark, and shuffles the stones. At each move, Betül divides stones into three non-empty groups. Ali removes the group with more stones from the two groups that do not contain the marked stone (if these two groups have equal number of stones, Ali removes one of them). Then Ali shuffles the remaining stones. Then it's again Betül's turn. And the game continues until two stones remain. When two stones remain, Ali confesses the marked stone. At least in how many moves can Betül guarantee to find out the marked stone?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(2x^2 + 35x + 120)(x + 8)(2x + 15)",
"style": "rule"
} | {
"index": 1946,
"need_tools_kwargs": true,
"question": "Factor completely over the set of polynomials with integer coefficients:\n\\[4(x + 5)(x + 6)(x + 10)(x + 12) - 3x^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",
"style": "rule"
} | {
"index": 1947,
"need_tools_kwargs": true,
"question": "A line intersects a segment $AB$ at point $C$. What is the maximum number of points $X$ on this line such that one of the angles $\\angle AXC$ or $\\angle BXC$ is equal to half of the other angle?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1:2.5",
"style": "rule"
} | {
"index": 1948,
"need_tools_kwargs": true,
"question": "The ratio of boarders to day students at a school was originally some ratio. However, after a number of new boarders join the initial 120 boarders, the ratio changed to 1 to 2. No boarders became day students and vice versa, and no students left the school. 30 new boarders joined the school. What was the original ratio of boarders to day students?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\sqrt {5}",
"style": "rule"
} | {
"index": 1949,
"need_tools_kwargs": true,
"question": "Given the function $f(\\cos x)=-f′( \\frac {1}{2})\\cos x+ \\sqrt {3}\\sin ^{2}x$, find the value of $f( \\frac {1}{2})$.",
"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": "\\frac{5000}{3}",
"style": "rule"
} | {
"index": 1950,
"need_tools_kwargs": true,
"question": "Consider the graph of the equation $y^2 + 2xy + 30|x|= 500$ in a coordinate plane. What is the area of the bounded region created by this equation?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1951,
"need_tools_kwargs": true,
"question": "给定整数 $n \\geq 3$ 。设 $\\Gamma$ 是由 $S=\\{1,2, \\ldots, n\\}$ 的至少 3 个两两不同的非空子集构成的集合族，满足：若 $A, B \\in \\Gamma, A \\neq B$ ，则对每个 $C \\in \\Gamma, C \\neq A, B$ ，结论\n\" $C \\cap(A \\Delta B)=\\emptyset$ \" 与 \" $C \\subseteq(A \\Delta B)$ \"中恰有一个成立。求 $\\sum_{A \\in \\Gamma}|A|$ 的最大值（用 $n$ 表示)。\n原始答案为 $\\max\\left\\{kn, mn+\\left[\\frac{n^2}{p}\\right]\\right\\}$ 的形式，请给出 k+m+p 的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "124",
"style": "rule"
} | {
"index": 1952,
"need_tools_kwargs": true,
"question": "Given the length of four sides of an inscribed convex octagon is $2$, and the length of the other four sides is $6\\sqrt{2}$, calculate the area of this octagon.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 9, 1937",
"style": "rule"
} | {
"index": 1953,
"need_tools_kwargs": true,
"question": "Coach Marvin became the Bengals head coach after another coach who was born on what day ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "17",
"style": "rule"
} | {
"index": 1954,
"need_tools_kwargs": true,
"question": "The number $64$ has the property that it is divisible by its unit digit. Find how many whole numbers between 10 and 50 have this property.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1955,
"need_tools_kwargs": true,
"question": "Sandy bought 65 books for $1080 from one shop and 55 books for $840 from another shop. What is the average price that Sandy paid per book?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Ann Morriss",
"style": "rule"
} | {
"index": 1956,
"need_tools_kwargs": true,
"question": "Who is the spouse of the director of film Fast And Loose (1939 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... | math | {
"ground_truth": "a=1",
"style": "rule"
} | {
"index": 1957,
"need_tools_kwargs": true,
"question": "Let the function $f(x)=|2x+3|-|2x-a|$, where $a\\in\\mathbb{R}$.\n\n$(1)$ If the solution set of the inequality $f(x)\\leqslant -5$ is non-empty, find the range of values for the real number $a$;\n\n$(2)$ If the graph of the function $y=f(x)$ is symmetric about the point $\\left(-\\dfrac{1}{2},0\\right)$, find the value of the real number $a$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "the Ellie Awards",
"style": "rule"
} | {
"index": 1958,
"need_tools_kwargs": true,
"question": "The Sciences magazine won seven of an award also known at 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... | math | {
"ground_truth": "145",
"style": "rule"
} | {
"index": 1959,
"need_tools_kwargs": true,
"question": "Let \\( f(n) \\) be the sum of the squares of the digits of a positive integer \\( n \\). For example, \\( f(123) = 1^{2} + 2^{2} + 3^{2} = 14 \\). Define \\( f_{1}(n) = f(n) \\), and \\( f_{k+1}(n) = f\\left(f_{k}(n)\\right) \\) for \\( k = 1, 2, 3, \\ldots \\). Calculate the value of \\( f_{2005}(2006) \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Negative Burn",
"style": "rule"
} | {
"index": 1960,
"need_tools_kwargs": true,
"question": "What anthology are the graphic novels upon which the role-playing game designed by Luke Crane a part of?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "n = \\frac{(m - 1)(m + 2)}{2}",
"style": "rule"
} | {
"index": 1961,
"need_tools_kwargs": true,
"question": "For which integer values of \\( n \\) will the expression \\( 9 + 8n \\) be a perfect square?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1962,
"need_tools_kwargs": true,
"question": "Are Michael Bohnen and Chitti Babu (Tamil Actor) of 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": "Carlsbad Poinsettia",
"style": "rule"
} | {
"index": 1963,
"need_tools_kwargs": true,
"question": "What type of transportation serves Legoland California?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Keralite",
"style": "rule"
} | {
"index": 1964,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Aranyakam?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Leander Adrian Paes",
"style": "rule"
} | {
"index": 1965,
"need_tools_kwargs": true,
"question": "The 2012 Aircel Chennai Open was a 2012 ATP World Tour tennis tournament, played on outdoor hard courts, doubles title went to the Indo-Serb pair of Janko Tipsarević, and which Indian professional tennis player, born on 17 June 1973?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Tupelo, Mississippi",
"style": "rule"
} | {
"index": 1966,
"need_tools_kwargs": true,
"question": "Where was the performer of song Just A Little Talk With Jesus 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": "29 June 1960",
"style": "rule"
} | {
"index": 1967,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Ones Down There?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Lodi",
"style": "rule"
} | {
"index": 1968,
"need_tools_kwargs": true,
"question": "Horror Business was released on the label that was run by the singer from what New Jersey 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... | qa | {
"ground_truth": "March 8, 1975",
"style": "rule"
} | {
"index": 1969,
"need_tools_kwargs": true,
"question": "When did the director of film That Justice Be Done 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": "9",
"style": "rule"
} | {
"index": 1970,
"need_tools_kwargs": true,
"question": "There are cakes placed at equal intervals on a round table. Igor walks around the table and eats every third cake he encounters (each cake can be encountered multiple times). When there were no cakes left on the table, he noticed that the last cake he took was the same one he encountered first, and he had walked exactly seven laps around the table. How many cakes were there?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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}{75287520}",
"style": "rule"
} | {
"index": 1971,
"need_tools_kwargs": true,
"question": "Calculate $\\frac{1}{6} \\cdot \\frac{2}{7} \\cdot \\frac{3}{8} \\cdot \\frac{4}{9} \\cdots \\frac{94}{99} \\cdot \\frac{95}{100}$. 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": "John Aaron Lewis",
"style": "rule"
} | {
"index": 1972,
"need_tools_kwargs": true,
"question": "Who was best known to be the founder of a jazz combo established in 1952?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1973,
"need_tools_kwargs": true,
"question": "Do both films: Long Shot: The Kevin Laue Story and The Law'S Lash 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": "Argentina’s occupied factories",
"style": "rule"
} | {
"index": 1974,
"need_tools_kwargs": true,
"question": "What is the topic of the 2004 documentary released by Canadian filmmakers Naomi Klein and Avi Lewis?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0.09398",
"style": "rule"
} | {
"index": 1975,
"need_tools_kwargs": true,
"question": "If I choose four cards from a standard $52$-card deck, with replacement, what is the probability that I will end up with one card from each suit?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Marshall Mathers LP",
"style": "rule"
} | {
"index": 1976,
"need_tools_kwargs": true,
"question": " \"French Kissing\" is a song that incorporates an uncredited bassline from a song that was the third single from what album?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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{120}{19}",
"style": "rule"
} | {
"index": 1977,
"need_tools_kwargs": true,
"question": "In the rectangular coordinate system on a plane, the parametric equations of curve $C$ are given by $\\begin{cases} x = 2\\cos θ \\\\ y = \\sqrt{3}\\sin θ \\end{cases}$ ($θ$ is the parameter). A polar coordinate system is established with the coordinate origin as the pole and the positive half of the $x$-axis as the polar axis. The line $l$ passes through two points $A(\\sqrt{2}, \\frac{π}{4})$ and $B(3, \\frac{π}{2})$ in the polar coordinate system.\n\n(I) Write the general equation of curve $C$ and find the slope of line $l$.\n(II) Suppose line $l$ intersects curve $C$ at points $P$ and $Q$. Compute $|BP| \\cdot |BQ|$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1978,
"need_tools_kwargs": true,
"question": "Let $f_n(x,\\ y)=\\frac{n}{r\\cos \\pi r+n^2r^3}\\ (r=\\sqrt{x^2+y^2})$ , $I_n=\\int\\int_{r\\leq 1} f_n(x,\\ y)\\ dxdy\\ (n\\geq 2).$ Find $\\lim_{n\\to\\infty} I_n.$ *2009 Tokyo Institute of Technology, Master Course in Mathematics*",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Theatre at Madison Square Garden",
"style": "rule"
} | {
"index": 1979,
"need_tools_kwargs": true,
"question": "Da'Sean Butler was drafted 42nd overall by the Miami Heat in an NBA draft held at what venue?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "6200",
"style": "rule"
} | {
"index": 1980,
"need_tools_kwargs": true,
"question": "The \"One Helmet, One Belt\" safety protection campaign is a safety protection campaign launched by the Ministry of Public Security nationwide. It is also an important standard for creating a civilized city and being a civilized citizen. \"One helmet\" refers to a safety helmet. Drivers and passengers of electric bicycles should wear safety helmets. A certain shopping mall intends to purchase a batch of helmets. It is known that purchasing 8 type A helmets and 6 type B helmets costs $630, and purchasing 6 type A helmets and 8 type B helmets costs $700. \n$(1)$ How much does it cost to purchase 1 type A helmet and 1 type B helmet respectively? \n$(2)$ If the shopping mall is prepared to purchase 200 helmets of these two types, with a total cost not exceeding $10200, and sell type A helmets for $58 each and type B helmets for $98 each. In order to ensure that the total profit is not less than $6180, how many purchasing plans are there? How many type A and type B helmets are in the plan with the maximum profit? What is the maximum profit?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4032",
"style": "rule"
} | {
"index": 1981,
"need_tools_kwargs": true,
"question": "Given the function $f(x) = \\frac{x^2}{1+x^2}$.\n\n$(1)$ Calculate the values of $f(2) + f\\left(\\frac{1}{2}\\right)$, $f(3) + f\\left(\\frac{1}{3}\\right)$, $f(4) + f\\left(\\frac{1}{4}\\right)$, and infer a general conclusion (proof not required);\n\n$(2)$ Calculate the value of $2f(2) + 2f(3) + \\ldots + 2f(2017) + f\\left(\\frac{1}{2}\\right) + f\\left(\\frac{1}{3}\\right) + \\ldots + f\\left(\\frac{1}{2017}\\right) + \\frac{1}{2^2}f(2) + \\frac{1}{3^2}f(3) + \\ldots + \\frac{1}{2017^2} \\cdot f(2017)$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\"Fight for My Way\"",
"style": "rule"
} | {
"index": 1982,
"need_tools_kwargs": true,
"question": "What 2017 television series did Jin Goo's co-star star 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... | math | {
"ground_truth": "\\frac{1}{2}",
"style": "rule"
} | {
"index": 1983,
"need_tools_kwargs": true,
"question": "Two particles move along a square \\(ABCD\\) with a side length of 2 units, where \\(A\\) is at the origin, \\(B\\) is at \\((2,0)\\), \\(C\\) is at \\((2,2)\\), and \\(D\\) is at \\((0,2)\\). One particle starts at point \\(A\\) and the other starts at the midpoint of \\(\\overline{CD}\\). Both particles move at the same speed along the perimeter of the square in the direction \\(A \\Rightarrow B \\Rightarrow C \\Rightarrow D \\Rightarrow A\\). Determine the ratio of the area of the region \\(R\\) traced by the midpoint of the segment connecting these two particles to the area of square \\(ABCD\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 1984,
"need_tools_kwargs": true,
"question": "Alex is stuck on a platform floating over an abyss at $1$ ft/s. An evil physicist has arranged for the platform to fall in (taking Alex with it) after traveling $100$ ft. One minute after the platform was launched, Edward arrives with a second platform capable of floating all the way across the abyss. He calculates for 5 seconds, then launches the second platform in such a way as to maximize the time that one end of Alex's platform is between the two ends of the new platform, thus giving Alex as much time as possible to switch. If both platforms are $5$ ft long and move with constant velocity once launched, what is the speed of the second platform (in ft/s)? If the answer is x ft/s, find the value of x.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Charlie Puth",
"style": "rule"
} | {
"index": 1985,
"need_tools_kwargs": true,
"question": "Dravid Brook co-wrote a song with this American singer, songwriter and record producer with 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": "\\dfrac14",
"style": "rule"
} | {
"index": 1986,
"need_tools_kwargs": true,
"question": "A standard deck of 52 cards has 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) and 4 suits ($\\spadesuit$, $\\heartsuit$, $\\diamondsuit$, and $\\clubsuit$), such that there is exactly one card for any given rank and suit. Two of the suits ($\\spadesuit$ and $\\clubsuit$) are black and the other two suits ($\\heartsuit$ and $\\diamondsuit$) are red. The deck is randomly arranged. What is the probability that the top card is a $\\heartsuit$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Skye McCole Bartusiak",
"style": "rule"
} | {
"index": 1987,
"need_tools_kwargs": true,
"question": "Which actrice starred in a 2002 film about the daughter of Laura Ingalls Wilder?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "February 17, 1815",
"style": "rule"
} | {
"index": 1988,
"need_tools_kwargs": true,
"question": "When did Dabney S. Carr's father die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{9}{10}",
"style": "rule"
} | {
"index": 1989,
"need_tools_kwargs": true,
"question": "Determine whether the number\n\n$$\n\\frac{1}{2 \\sqrt{1}+1 \\sqrt{2}}+\\frac{1}{3 \\sqrt{2}+2 \\sqrt{3}}+\\frac{1}{4 \\sqrt{3}+3 \\sqrt{4}}+\\cdots+\\frac{1}{100 \\sqrt{99}+99 \\sqrt{100}}\n$$\n\nis rational or irrational. Explain your answer.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "4 June 1940",
"style": "rule"
} | {
"index": 1990,
"need_tools_kwargs": true,
"question": "The Great Seal\" is the national anthem of the NSK State, the lyrics taken from a speech delivered on which day ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 1991,
"need_tools_kwargs": true,
"question": "Let $n$ be a positive integer and let $P$ be the set of monic polynomials of degree $n$ with complex coefficients. Find the value of \\[ \\min_{p \\in P} \\left \\{ \\max_{|z| = 1} |p(z)| \\right \\} \\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "5,124",
"style": "rule"
} | {
"index": 1992,
"need_tools_kwargs": true,
"question": "How many rooms are at the hotel where the 2005 Las Vegas Desert Classic was held?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Montreal, Quebec",
"style": "rule"
} | {
"index": 1993,
"need_tools_kwargs": true,
"question": "\"Reflektor\" is by a rock band based 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... | qa | {
"ground_truth": "Yoga",
"style": "rule"
} | {
"index": 1994,
"need_tools_kwargs": true,
"question": "What form of meditation includes Dynamic meditation and teachings from the man whose followers are known as neo-sannyasins?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "111^\\circ",
"style": "rule"
} | {
"index": 1995,
"need_tools_kwargs": true,
"question": "The number\n\\[\\text{cis } 75^\\circ + \\text{cis } 83^\\circ + \\text{cis } 91^\\circ + \\dots + \\text{cis } 147^\\circ\\]is expressed in the form $r \\, \\text{cis } \\theta$, where $r > 0$ and $0^\\circ \\le \\theta < 360^\\circ$. Find $\\theta$ in degrees.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 And The Fairy Snow Queen",
"style": "rule"
} | {
"index": 1996,
"need_tools_kwargs": true,
"question": "Which film has the director born later, Santa And The Fairy Snow Queen or Hearts In Bondage?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 1997,
"need_tools_kwargs": true,
"question": "Given the function \\( f(x) = \\sin \\left(x+\\frac{\\pi}{6}\\right) + \\sin \\left(x-\\frac{\\pi}{6}\\right) + a \\cos x + b \\) where \\( a, b \\in \\mathbb{R} \\) are constants:\n1. Find the smallest positive period of the function \\( f(x) \\).\n2. If \\( f(x) \\) is monotonically increasing on the interval \\(\\left[ -\\frac{\\pi}{3}, 0 \\right] \\) and attains its minimum value of 2, find the values of \\( a \\) and \\( 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": "\\$347.20",
"style": "rule"
} | {
"index": 1998,
"need_tools_kwargs": true,
"question": "in a fuel station the service costs $ 2.10 per vehicle and every liter of fuel costs $ 0.70 . assuming that you fill up 3 mini - vans and 2 trucks , what will be the total cost , if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "13.4164078649987",
"style": "rule"
} | {
"index": 1999,
"need_tools_kwargs": true,
"question": "Three regular heptagons share a common center, and their sides are parallel. The sides of two heptagons are 6 cm and 30 cm, respectively. The third heptagon divides the area between the first two heptagons in a ratio of $1:5$, starting from the smaller heptagon. Find the side of the third heptagon.",
"split": "train"
} | null |
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