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": "1533",
"style": "rule"
} | {
"index": 1500,
"need_tools_kwargs": true,
"question": "Call a positive integer monotonous if it is a one-digit number or its digits, when read from left to right, form either a strictly increasing or a strictly decreasing sequence. For example, $3$, $23578$, and $987620$ are monotonous, but $88$, $7434$, and $23557$ are not. How many monotonous positive integers are there?\n$\\textbf{(A)}\\ 1024\\qquad\\textbf{(B)}\\ 1524\\qquad\\textbf{(C)}\\ 1533\\qquad\\textbf{(D)}\\ 1536\\qquad\\textbf{(E)}\\ 2048$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 27, 1989",
"style": "rule"
} | {
"index": 1501,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Walking Tall: Final Chapter?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2667",
"style": "rule"
} | {
"index": 1502,
"need_tools_kwargs": true,
"question": "A positive integer that can be expressed as the difference of squares of two positive integers is called a \"Wisdom Number\". For example, $16 = 5^2 - 3^2$, so 16 is a \"Wisdom Number\". Starting from 1, which number is the 1998th \"Wisdom Number\" among the positive integers? Please explain your reasoning.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": 1503,
"need_tools_kwargs": true,
"question": "Evaluate the following propositions regarding a rectangular prism and determine how many of them are correct:\n\n1. In a rectangular prism, there exists a point equidistant from all vertices.\n2. In a rectangular prism, there exists a point equidistant from all edges.\n3. In a rectangular prism, there exists a point equidistant from all faces.\n\nExplain your reasoning for each proposition and provide the total number of correct propositions.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 15, 1963",
"style": "rule"
} | {
"index": 1504,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Gold Racket?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Huntington",
"style": "rule"
} | {
"index": 1505,
"need_tools_kwargs": true,
"question": "The Ireland-Gardiner Farm is located in what Long Island census-designated place?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1506,
"need_tools_kwargs": true,
"question": "Let $ABCD$ be a convex quadrilateral with $\\angle C = \\angle D = 90^\\circ$. The circle $K$ passing through $A$ and $B$ is tangent to $CD$ at $C$. Let $E$ be the intersection of $K$ and $[AD]$. If $|BC| = 20$, $|AD| = 16$, then find the length of $|CE|$. The original answer is in the form $k\\sqrt{m}$, please give the value of $k + m$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "The Carter Doctrine",
"style": "rule"
} | {
"index": 1507,
"need_tools_kwargs": true,
"question": "what doctrine called persian gulf oil a vital us interest to be defended by any means 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... | qa | {
"ground_truth": "Michael Gaughan",
"style": "rule"
} | {
"index": 1508,
"need_tools_kwargs": true,
"question": "Who is the owner and operator of the hotel where the 2012 World Indoor Target Archery Championships were held in Nevada?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "San Juan, Puerto Rico",
"style": "rule"
} | {
"index": 1509,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Vacations In Acapulco?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "King George VI",
"style": "rule"
} | {
"index": 1510,
"need_tools_kwargs": true,
"question": "Who was the husband of the woman who opened the Flint House?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1976",
"style": "rule"
} | {
"index": 1511,
"need_tools_kwargs": true,
"question": "What is the birth year of the actress that portrays Alex Drake?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "approximately 31,000 employees",
"style": "rule"
} | {
"index": 1512,
"need_tools_kwargs": true,
"question": "How many employees does the company that is based in Columbus, OH that also sponsored 27 official money golf tournaments from February 16 to October 28 2012 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... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 1513,
"need_tools_kwargs": true,
"question": "Do both films Neverwas and Old Faithful (Film) have the directors that share the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Universal Studios",
"style": "rule"
} | {
"index": 1514,
"need_tools_kwargs": true,
"question": "Who distributed the film wirrten by Niall Leonard?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Nissan/Datsun",
"style": "rule"
} | {
"index": 1515,
"need_tools_kwargs": true,
"question": "Who was the presenting sponsor at the race where Jeff Wood drove for Dan Gurney?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\$540",
"style": "rule"
} | {
"index": 1516,
"need_tools_kwargs": true,
"question": "If the price of a certain computer increased 30 percent from y dollars to 351 dollars, what is the value of 2 times the original price of the computer if 2y = 540?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2\\sqrt{6}",
"style": "rule"
} | {
"index": 1517,
"need_tools_kwargs": true,
"question": "In the cyclic quadrilateral \\(ABCD\\), you are given that \\(\\angle ACB = 15^{\\circ}\\), \\(\\angle CAD = 45^{\\circ}\\), \\(BC = \\sqrt{6}\\), and \\(AC = 2\\sqrt{3}\\). Using this information, determine 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": "Castine",
"style": "rule"
} | {
"index": 1518,
"need_tools_kwargs": true,
"question": "Bowdoin was acquired by the post-secondary college in what Hancock County, Maine city since 1988?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Neil Jason",
"style": "rule"
} | {
"index": 1519,
"need_tools_kwargs": true,
"question": "With what American session bass guitarist, singer, songwriter, multi-instrumentalist, producer and composer did an Italian operatic tenor who also crossed over into popular music who eventually becoming one of the most commercially successful tenors of all 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... | math | {
"ground_truth": "279",
"style": "rule"
} | {
"index": 1520,
"need_tools_kwargs": true,
"question": "How many four-digit numbers contain the digit 9 followed immediately by the digit 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": "9",
"style": "rule"
} | {
"index": 1521,
"need_tools_kwargs": true,
"question": "Using the four digits 1, 9, 8, 5 to form a number in the form \\(a^{b^{c^{d}}}\\), if you want to maximize its value, what is the value of \\(c\\)?\n\n(A) 1 \n\n(B) 9 \n\n(C) 8 \n\n(D) 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... | qa | {
"ground_truth": "Azeroth",
"style": "rule"
} | {
"index": 1522,
"need_tools_kwargs": true,
"question": "Toby Kebbell starred in a fantasy action film based on a video game series in 2016 notably set in teh world of 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": "singer-songwriter",
"style": "rule"
} | {
"index": 1523,
"need_tools_kwargs": true,
"question": "Why would Taylor Swift be invited to the 2015 Music Television, or MTV Video Music Awards?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "One Stolen Night",
"style": "rule"
} | {
"index": 1524,
"need_tools_kwargs": true,
"question": "Which film whose director was born first, Our Struggles or One Stolen Night?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1:10",
"style": "rule"
} | {
"index": 1525,
"need_tools_kwargs": true,
"question": "The ratio of buses to cars on River Road is some ratio. If there are 90 fewer buses than cars on River Road, and there are 100 cars on River Road, what is the ratio of buses to cars?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2002",
"style": "rule"
} | {
"index": 1526,
"need_tools_kwargs": true,
"question": "What is the date of death of Lupe Rumazo'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... | qa | {
"ground_truth": "Dumitru-Dorin Prunariu",
"style": "rule"
} | {
"index": 1527,
"need_tools_kwargs": true,
"question": "Who was born first, Franz Viehböck or Dumitru Prunariu?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0.4",
"style": "rule"
} | {
"index": 1528,
"need_tools_kwargs": true,
"question": "If two lines $l' $ and $m'$ have equations $y = -3x + 9$, and $y = -5x + 9$, what is the probability that a point randomly selected in the 1st quadrant and below $l'$ will fall between $l'$ and $m'$? Express your answer as a decimal to the nearest hundredth.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2/3",
"style": "rule"
} | {
"index": 1529,
"need_tools_kwargs": true,
"question": "A certain fraction of a positive number and 144/216 of its reciprocal are equal. The number is 1. What is the fraction?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 1530,
"need_tools_kwargs": true,
"question": "In the unit cube \\(ABCD-A_1B_1C_1D_1\\), points \\(E\\) and \\(F\\) are the midpoints of edges \\(AB\\) and \\(BC\\) respectively. Given that point \\(D\\) is located at the origin, calculate the distance from point \\(D\\) to the plane defined by points \\(B_1\\), \\(E\\), and \\(F\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Eric Sykes",
"style": "rule"
} | {
"index": 1531,
"need_tools_kwargs": true,
"question": "Which director/actor was in a British comedy film directed by Duncan Wood?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Halliwell Jones Stadium",
"style": "rule"
} | {
"index": 1532,
"need_tools_kwargs": true,
"question": "Stephan Ratchford plays for the rugby team that has its home matches at which stadium?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Living Daylights",
"style": "rule"
} | {
"index": 1533,
"need_tools_kwargs": true,
"question": "What was the name of the other movie that Gammino dubbed, other than the one that was originally titled \"Licence Revoked\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2+\\sqrt{3}",
"style": "rule"
} | {
"index": 1534,
"need_tools_kwargs": true,
"question": "A right triangle has acute angles of $60^{\\circ}$ and $30^{\\circ}$. Two congruent circles are inscribed in the triangle, touching the hypotenuse, each other, and one of the legs. How many times is the smaller leg of the triangle the radius of the circles?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "23 January 1967",
"style": "rule"
} | {
"index": 1535,
"need_tools_kwargs": true,
"question": "When was the town, located approximately 45 miles north-west of London where Gerald Eve LLP has offices, formally designated as a new town?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Los Angeles",
"style": "rule"
} | {
"index": 1536,
"need_tools_kwargs": true,
"question": "Where did the director of film Man About Town (1932 Film) die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "6\\sqrt{2}",
"style": "rule"
} | {
"index": 1537,
"need_tools_kwargs": true,
"question": "If point P is one of the intersections of the hyperbola with foci A(-√10,0), B(√10,0) and a real axis length of 2√2, and the circle x^2 + y^2 = 10, calculate the value of |PA| + |PB|.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1538,
"need_tools_kwargs": true,
"question": "Let $x,$ $y,$ $z$ be real numbers such that $x + y + z = 2,$ and $x \\ge -\\frac{1}{2},$ $y \\ge -\\frac{3}{2},$ and $z \\ge -1.$ Find the maximum value of \n\\[\\sqrt{3x + 1.5} + \\sqrt{3y + 4.5} + \\sqrt{3z + 3}.\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Stephen Herek",
"style": "rule"
} | {
"index": 1539,
"need_tools_kwargs": true,
"question": "Who directed the movie that Charlie Sheen started in two years after Hot Shots?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1540,
"need_tools_kwargs": true,
"question": "Find the digit represented by $\\triangle$ that makes the following addition valid in base-6:\n$$ \\begin{array}{c@{}c@{\\;}c@{}c@{}c@{}c}\n & & 4 & 3 & 2 & \\triangle_6 \\\\\n & & & \\triangle & 5 & 0_6 \\\\\n+ & & & & \\triangle & 3_6 \\\\\n\\cline{2-6}\n & & 5 & 3 & \\triangle & 4_6 \\\\\n\\end{array} $$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "French",
"style": "rule"
} | {
"index": 1541,
"need_tools_kwargs": true,
"question": "Which country the director of film The White Heather 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": "31",
"style": "rule"
} | {
"index": 1542,
"need_tools_kwargs": true,
"question": "Find the largest positive integer $n$ such that there exist $n$ real numbers $x_{1}, x_{2}, \\cdots, x_{n}$ satisfying the inequality $\\left(1+x_{i} x_{j}\\right)^{2} \\leqslant 0.99\\left(1+x_{i}^{2}\\right)\\left(1+x_{j}^{2}\\right)$ for any $1 \\leq i < j \\leq n$.",
"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": "London",
"style": "rule"
} | {
"index": 1543,
"need_tools_kwargs": true,
"question": "Where was the director of film The Little People (Film) 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": "no",
"style": "rule"
} | {
"index": 1544,
"need_tools_kwargs": true,
"question": "Do director of film A Girl'S Tears and director of film Tag Und Nacht (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": "116",
"style": "rule"
} | {
"index": 1545,
"need_tools_kwargs": true,
"question": "A rectangle with even integer length and width has a perimeter of 120 units. What is the number of square units in the least possible area?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1546,
"need_tools_kwargs": true,
"question": "Given the sets $A=\\{-1,0,a\\}$ and $B=\\{0, \\sqrt{a}\\}$. If $B \\subseteq A$, then the value of the real number $a$ 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": "\\{x|2<x<3\\}",
"style": "rule"
} | {
"index": 1547,
"need_tools_kwargs": true,
"question": "The solution set of the inequality $$\\frac {(x-2)(x-3)}{x^{2}+1}<0$$ is \\_\\_\\_\\_\\_\\_.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "American",
"style": "rule"
} | {
"index": 1548,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song There'Ll Be No Teardrops Tonight (Hank Williams 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": "Adios: The Greatest Hits",
"style": "rule"
} | {
"index": 1549,
"need_tools_kwargs": true,
"question": "What was the last Audio Adrenaline album on which lead singer Mark Stuart performed?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1550,
"need_tools_kwargs": true,
"question": "Denis has cards with numbers from 1 to 50. How many ways are there to choose two cards such that the difference of the numbers on the cards is 11, and their product is divisible by 5?\n\nThe order of the selected cards does not matter: for example, selecting cards with numbers 5 and 16, as well as selecting cards with numbers 16 and 5, is considered the same way.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Dweepa",
"style": "rule"
} | {
"index": 1551,
"need_tools_kwargs": true,
"question": "Which film has the producer who was born first, Dweepa or Achamindri?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Michael J. Behe",
"style": "rule"
} | {
"index": 1552,
"need_tools_kwargs": true,
"question": "David Snoke co-published a paper in 2004 with what Lehigh University professor?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "13th European Championships",
"style": "rule"
} | {
"index": 1553,
"need_tools_kwargs": true,
"question": "Which European Championships was took place on a high Alpine resort in the Engadine in Switzerland?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1554,
"need_tools_kwargs": true,
"question": "There is a rectangular field that measures $20\\,\\text{m}$ by $15\\,\\text{m}$. Xiaoyu the butterfly is sitting at the perimeter of the field on one of the $20\\,\\text{m}$ sides such that he is $6\\,\\text{m}$ from a corner. He flies in a straight line to another point on the perimeter. His flying path splits the field into two parts with equal area. How far in meters did Xiaoyu fly?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1555,
"need_tools_kwargs": true,
"question": "If the value of the algebraic expression $x^{2}+2x+7$ is $6$, then the value of the algebraic expression $4x^{2}+8x-5$ is ( )\n\nA: $-9$\n\nB: $9$\n\nC: $18$\n\nD: $-18$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Rome",
"style": "rule"
} | {
"index": 1556,
"need_tools_kwargs": true,
"question": "Where did the director of film La Malavita Attacca... La Polizia Risponde! die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "March 21, 2012",
"style": "rule"
} | {
"index": 1557,
"need_tools_kwargs": true,
"question": "What day, month, and year was an exhibition of Horiyoshi's silk scroll paintings, \"The Art of Horiyoshi III,\" first displayed at Somerset House?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "developer Steve Wynn",
"style": "rule"
} | {
"index": 1558,
"need_tools_kwargs": true,
"question": "Who built the resort that Kathy Griffin recorded Look at My Butt Crack at?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Tom Angelripper",
"style": "rule"
} | {
"index": 1559,
"need_tools_kwargs": true,
"question": "Who is the only constant member of the band behind \"Epitome of Turture\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "41003_5",
"style": "rule"
} | {
"index": 1560,
"need_tools_kwargs": true,
"question": "What is the base five product of the numbers $231_{5}$ and $13_{5}$?",
"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": "(x-2)^{2} + (y-1)^{2} = 5",
"style": "rule"
} | {
"index": 1561,
"need_tools_kwargs": true,
"question": "Given the plane region defined by\n\\[\n\\begin{cases}\n\\begin{matrix}\nx \\geqslant 0 \\\\\ny \\geqslant 0\n\\end{matrix} \\\\\nx + 2y - 4 \\leqslant 0\n\\end{cases}\n\\]\nis exactly covered by the smallest circle $C$: $(x-a)^{2} + (y-b)^{2} = r^{2}$ and its interior, then the equation of circle $C$ is.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "16",
"style": "rule"
} | {
"index": 1562,
"need_tools_kwargs": true,
"question": "How many academic departments does this institution from which Rajeev Suri received a Bachelor of Engineering?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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{3}",
"style": "rule"
} | {
"index": 1563,
"need_tools_kwargs": true,
"question": "Given the hyperbola $\\frac{x^{2}}{a^{2}} - \\frac{y^{2}}{b^{2}} = 1$ ($a>0$, $b>0$), its left and right foci are $F_1$ and $F_2$ respectively. Let $c = \\sqrt{a^{2}+b^{2}}$, and $P$ is a point on the line $x = \\frac{a^{2}}{c}$ such that $PF_1 \\perp PF_2$ and $|PF_1| \\cdot |PF_2| = 4ab$. Determine the eccentricity of the hyperbola.\n\nA: $\\sqrt{2}$\nB: $\\sqrt{3}$\nC: $2$\nD: $3$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 1564,
"need_tools_kwargs": true,
"question": "Consider the harmonic sequence $\\frac{2017}{4},\\frac{2017}{7},\\frac{2017}{10},\\ldots$, where the reciprocals of the terms of the sequence form an arithmetic sequence. How many terms of this sequence are 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": "no",
"style": "rule"
} | {
"index": 1565,
"need_tools_kwargs": true,
"question": "Are director of film Vita Coi Figli and director of film Radio Star (Film) both from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 1566,
"need_tools_kwargs": true,
"question": "Are both villages, Shakheh-Ye Sofla and Rig Sefid, Zagheh, 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": "93",
"style": "rule"
} | {
"index": 1567,
"need_tools_kwargs": true,
"question": "How many seven-digit numbers are multiples of $388$ and end in $388$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Steven Universe",
"style": "rule"
} | {
"index": 1568,
"need_tools_kwargs": true,
"question": "Finn the Human / Jake the Dog are the first two episodes of the animated series that was storyboarded by the creator of what other series?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1569,
"need_tools_kwargs": true,
"question": "给定整数 \\( n \\geq 2 \\)。求所有的函数 \\( f:\\mathbb{R}\\rightarrow\\mathbb{R} \\)，使得对任意实数 \\( x, y \\)，均有 \\( f(x-f(y))=f(x+y^n)+f(f(y)+y^n) \\)。已知答案可以表示为 \\( f(x) = ax^n + b \\)，请给出待定系数 \\( a + b \\) 的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 1570,
"need_tools_kwargs": true,
"question": "Do both directors of films Loving Pablo and Freedom Of The Seas (Film) 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... | qa | {
"ground_truth": "22 March 1965",
"style": "rule"
} | {
"index": 1571,
"need_tools_kwargs": true,
"question": "When did the director of film Stasera Sciopero die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Calcutta",
"style": "rule"
} | {
"index": 1572,
"need_tools_kwargs": true,
"question": "Where was the place of death of the composer of film Mahapurush?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "number 7",
"style": "rule"
} | {
"index": 1573,
"need_tools_kwargs": true,
"question": "Where did the album peak on the UK Album Charts that contained the song \"I'm the Greatest\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(-3,1)\\cup(3,+\\infty)",
"style": "rule"
} | {
"index": 1574,
"need_tools_kwargs": true,
"question": "Given the function\n$$\nf(x)= \n\\begin{cases}\nx^{2}-4x+6, & x \\geqslant 0,\\\\\nx+6, & x < 0,\n\\end{cases}\n$$\nfind the solution set for the inequality $f(x) > f(1)$. The solution set is $(\\,\\,)$.\n\nA: $(-3,1)\\cup(3,+\\infty)$\nB: $(-3,1)\\cup(2,+\\infty)$\nC: $(-1,1)\\cup(3,+\\infty)$\nD: $(-\\infty,-3)\\cup(1,3)$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "655.294",
"style": "rule"
} | {
"index": 1575,
"need_tools_kwargs": true,
"question": "Potamogeton Pond was once a stop on on a bridle trail that connected Cunningham Park to a park that occupies how many acres?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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}{R} ",
"style": "rule"
} | {
"index": 1576,
"need_tools_kwargs": true,
"question": "Find the mean value of the function $\\ln r$ on the circle $(x - a)^2 + (y-b)^2 = R^2$ (of the function $1/r$ on the sphere).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1986.\n\\end{aligned}",
"style": "rule"
} | {
"index": 1577,
"need_tools_kwargs": true,
"question": "A king wants to build \\( n \\) cities and connect them with \\( n-1 \\) roads in such a way that any city can be reached from any other city (each road connects two cities, and roads do not intersect or pass through other cities). The king demands that the shortest distances between pairs of cities along the road network should be exactly 1 km, 2 km, 3 km, $\\cdots, \\frac{n(n-1)}{2}$ km. Determine if the king's requirement can be met for the cases:\n(1) \\( n = 6 \\);\n(2) \\( n = 1986 \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Remix",
"style": "rule"
} | {
"index": 1578,
"need_tools_kwargs": true,
"question": "What is it called when a piece of media is altered from its original state like when Bubba Sparxxx was featured in the song Oops?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1579,
"need_tools_kwargs": true,
"question": "Simplify: $\\frac{{x}^{2}-4}{{x}^{2}-4x+4}+\\frac{x}{{x}^{2}-x}\\div \\frac{x-2}{x-1}$, then choose a value of $x$ from the integers in the range $-1\\leqslant x\\leqslant 3$ to substitute and evaluate.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "40",
"style": "rule"
} | {
"index": 1580,
"need_tools_kwargs": true,
"question": "\nLet positive numbers \\( x, y, z \\) satisfy the following system of equations:\n\n\\[\n\\left\\{\n\\begin{array}{l}\nx^{2} + x y + y^{2} = 75 \\\\\ny^{2} + y z + z^{2} = 16 \\\\\nz^{2} + x z + x^{2} = 91\n\\end{array}\n\\right.\n\\]\n\nFind the value of the expression \\( xy + yz + xz \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1581,
"need_tools_kwargs": true,
"question": "If $f(x)=x^{2}+bx+c$, and $f(1)=0$, $f(3)=0$, find\n(1) the value of $f(-1)$;\n(2) the maximum and minimum values of $f(x)$ on the interval $[2,4]$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 1582,
"need_tools_kwargs": true,
"question": "Are Yan Ni (Volleyball) and Adam Skórnicki both from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "three",
"style": "rule"
} | {
"index": 1583,
"need_tools_kwargs": true,
"question": "How many NFL championships have been won by the franchise which drafted Nicholas Grigsby in 2016?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "20 October 1951",
"style": "rule"
} | {
"index": 1584,
"need_tools_kwargs": true,
"question": "When was the young Earth creationist living which was part of creating \"Grand Canyon: A Different View\" 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": "1997",
"style": "rule"
} | {
"index": 1585,
"need_tools_kwargs": true,
"question": "What year was the adopted brother of Jeremiah Porter 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": "David Hackett Souter",
"style": "rule"
} | {
"index": 1586,
"need_tools_kwargs": true,
"question": "Sonia Sotomayor was nominated to replace which judge appointed by George HW Bush?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 5, 1953",
"style": "rule"
} | {
"index": 1587,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Silent Mystery?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1588,
"need_tools_kwargs": true,
"question": "Starting from a positive integer \\( a \\), we formed the numbers \\( b = 2a^2 \\), \\( c = 2b^2 \\), and \\( d = 2c^2 \\). What could the number \\( a \\) have been if the decimal representations of \\( a \\), \\( b \\), and \\( c \\) written consecutively in this order form exactly the decimal representation of \\( 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... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"index": 1589,
"need_tools_kwargs": true,
"question": "The construction rule of the sequence $\\{a_{n}\\}$ is as follows: $a_{1}=1$, if $a_{n}-2$ is a natural number and has not appeared before, then use the recursive formula $a_{n+1}=a_{n}-2$. Otherwise, use the recursive formula $a_{n+1}=3a_{n}$, then $a_{6}=$ _____.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Ada R. Habershon and Charles H. Gabriel",
"style": "rule"
} | {
"index": 1590,
"need_tools_kwargs": true,
"question": "Who wrote the hymn that was reworked into a song concerning the death, funeral, and mourning of the narrator's mother, by an American musician and founding member of The Carter Family, one of the most notable acts in the history of country music?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1591,
"need_tools_kwargs": true,
"question": "求椭圆 $C: \\frac{x^{2}}{a^{2}}+\\frac{y^{2}}{b^{2}}=1$ 的内接六边形面积的最大值。已知原始答案的格式为$\\frac{m\\sqrt{3}}{n}$，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... | qa | {
"ground_truth": "July 1, 2005",
"style": "rule"
} | {
"index": 1592,
"need_tools_kwargs": true,
"question": "What is the date of death of the performer of song I'Ll Let You Slide?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Budapest",
"style": "rule"
} | {
"index": 1593,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film The Little Girl Who Lives Down The Lane?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1594,
"need_tools_kwargs": true,
"question": "Solve the equation: $$2(x-6) = \\frac{x^2}{(1+\\sqrt{x+1})^2}$$",
"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": "8",
"style": "rule"
} | {
"index": 1595,
"need_tools_kwargs": true,
"question": "What numeral appears in the 250th decimal place in the decimal representation of $\\frac{13}{17}$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 9, 1973",
"style": "rule"
} | {
"index": 1596,
"need_tools_kwargs": true,
"question": "When is David O'Donnell's wife'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... | math | {
"ground_truth": "3\\\\%",
"style": "rule"
} | {
"index": 1597,
"need_tools_kwargs": true,
"question": "The list price of an article is Rs. 70. A customer pays Rs. 61.11 for it after receiving two successive discounts, one of them being 10%. What is the percentage of the other discount?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "DeAndre Cortez Way",
"style": "rule"
} | {
"index": 1598,
"need_tools_kwargs": true,
"question": "\"Donk\" is a single by a rapper with what real full name?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "10.00",
"style": "rule"
} | {
"index": 1599,
"need_tools_kwargs": true,
"question": "Calculate $5.47 + 2.58 + 1.95$ and write the sum as a decimal.",
"split": "train"
} | null |
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