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... | qa | {
"ground_truth": "L. Gabriel Gonda",
"style": "rule"
} | {
"index": 4400,
"need_tools_kwargs": true,
"question": "Who is the director of the 2014 American short film which is based on the short evangelical gospel tracts created and published by American publisher and religious cartoonist Jack Chick?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 11, 1842",
"style": "rule"
} | {
"index": 4401,
"need_tools_kwargs": true,
"question": "What is the date of death of Isaac B. Desha'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": "yes",
"style": "rule"
} | {
"index": 4402,
"need_tools_kwargs": true,
"question": "Did Pat Crawford and Connor Rozee 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": "John Milton Cage Jr.",
"style": "rule"
} | {
"index": 4403,
"need_tools_kwargs": true,
"question": "HPSCHD is a composition by which music theorist and writer?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Jerry Van Dyke",
"style": "rule"
} | {
"index": 4404,
"need_tools_kwargs": true,
"question": "The daughter of what actor is an American actress and adult film performer, who is the niece of an American actor, comedian, singer, dancer, writer, and producer?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Keith Houk",
"style": "rule"
} | {
"index": 4405,
"need_tools_kwargs": true,
"question": "Who was the president and CEO in 1988 of an American regional airline headquartered at Dayton International Airport in Vandalia, Ohio ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1980",
"style": "rule"
} | {
"index": 4406,
"need_tools_kwargs": true,
"question": "Distinct prime numbers $p,q,r$ satisfy the equation $$2pqr+50pq=7pqr+55pr=8pqr+12qr=A$$ for some positive integer $A.$ What is $A$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "963",
"style": "rule"
} | {
"index": 4407,
"need_tools_kwargs": true,
"question": "Six boys stood equally spaced on a circle of radius 40 feet. Each boy walked to all of the other non-adjacent persons on the circle, shook their hands, and then returned to his original spot on the circle before the next boy started his trip to shake hands with all of the other non-adjacent boys on the circle. After all six boys had done this, what is the least distance in feet that could have been traveled? The original answer is in the form k + m\\sqrt{n}, where k, m, and n are integers. Please give the value of k + m + n.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{43}{72}",
"style": "rule"
} | {
"index": 4408,
"need_tools_kwargs": true,
"question": "Let \\( A, B, C, \\) and \\( D \\) be four different digits selected from the set \\( \\{2, 3, 4, 5, 6, 7, 8, 9\\} \\). Determine the values of \\( A, B, C, \\) and \\( D \\) such that the sum \\( \\frac{A}{B} + \\frac{C}{D} \\) is minimized. What is the minimum value of \\( \\frac{A}{B} + \\frac{C}{D} \\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{BM}{MC} = \\frac{1}{2}",
"style": "rule"
} | {
"index": 4409,
"need_tools_kwargs": true,
"question": "Given a rhombus $ABCD$ . A point $M$ is chosen on its side $BC$ . The lines, which pass through $M$ and are perpendicular to $BD$ and $AC$ , meet line $AD$ in points $P$ and $Q$ respectively. Suppose that the lines $PB,QC,AM$ have a common point. Find all possible values of a ratio $\\frac{BM}{MC}$ .\n*S. Berlov, F. Petrov, A. Akopyan*",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"index": 4410,
"need_tools_kwargs": true,
"question": "In a city with 10 parallel streets and 10 streets intersecting them at right angles, what is the minimum number of turns a closed bus route passing through all intersections 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": "3+\\sqrt{3}",
"style": "rule"
} | {
"index": 4411,
"need_tools_kwargs": true,
"question": "A hexagon has each angle measuring $120^{\\circ}$, and its sides alternately measure 1 cm and $\\sqrt{3} \\mathrm{~cm}$. What is the area of the hexagon?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "72",
"style": "rule"
} | {
"index": 4412,
"need_tools_kwargs": true,
"question": "How many strings of ones and zeroes of length 10 are there such that there is an even number of ones, and no zero follows another zero?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{5}{12}",
"style": "rule"
} | {
"index": 4413,
"need_tools_kwargs": true,
"question": "A point $(x,y)$ is randomly selected such that $0 \\le x \\le 3$ and $0 \\le y \\le 6$. What is the probability that $x+y \\le 4$? 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... | math | {
"ground_truth": "3(\\sqrt{3} - 1)",
"style": "rule"
} | {
"index": 4414,
"need_tools_kwargs": true,
"question": "In the complex plane, let $A$ be the set of solutions to $z^3 - 27 = 0$ and let $B$ be the set of solutions to $z^3 - 9z^2 - 27z + 243 = 0,$ find the distance between the point in $A$ closest to the origin and the point in $B$ closest to the origin.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4415,
"need_tools_kwargs": true,
"question": "Professor Raquel invented the following game: write a number on the board, if it is odd add 3 units to the number, and if it is even divide the number by 2.\n\nThis operation can be done several times. The professor is interested in obtaining the number 1 at the end and asked the class: How to obtain the number 1 after 3 operations? And after 4 operations? And after 5 operations?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Cabra Dominican College",
"style": "rule"
} | {
"index": 4416,
"need_tools_kwargs": true,
"question": "St Martin de Porres, Adelaide is a feeder school to which school that was founded in 1886?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "August 17, 1960",
"style": "rule"
} | {
"index": 4417,
"need_tools_kwargs": true,
"question": "When is Dylan Penn's father's birthday?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "third-most",
"style": "rule"
} | {
"index": 4418,
"need_tools_kwargs": true,
"question": "What is Perry Hall counties ranking in terms of population?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1987",
"style": "rule"
} | {
"index": 4419,
"need_tools_kwargs": true,
"question": "In what year was the writer of music and lyrics for the album \"A Very StarKid Album\" 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": "Bryan Lee Cranston",
"style": "rule"
} | {
"index": 4420,
"need_tools_kwargs": true,
"question": "What actor from the crime drama \"Breaking Bad\" and comedy series \"Seinfeld\", also appeared in the 2011 legal thriller \"The Lincoln Laywer\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4421,
"need_tools_kwargs": true,
"question": "The radius of the base of a cone and its slant height are $1$ and $2$, respectively. Find the length of the shortest closed path that intersects all slant heights of the cone and passes through one endpoint of the base.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Brendan Frederick Shanahan",
"style": "rule"
} | {
"index": 4422,
"need_tools_kwargs": true,
"question": "Colin Campbell was replaced as NHL Senior Vice President by which president of the Toronto Maple Leafs?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "63.33",
"style": "rule"
} | {
"index": 4423,
"need_tools_kwargs": true,
"question": "Let L be Leo's weight, K be Kendra's weight, and E be Ethan's weight. The problem can be written as a system of three equations:\n\n1) L + K + E = 210\n2) L + 10 = 1.5K\n3) L + 10 = 0.75E\n\nSolve this system of equations to find Leo's current weight, L.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1942",
"style": "rule"
} | {
"index": 4424,
"need_tools_kwargs": true,
"question": "What is the year of the event which occured first, Yvgenie was published, or Carolyn Cherry was born?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\cos \\varphi = \\sqrt{\\frac{3}{13}}",
"style": "rule"
} | {
"index": 4425,
"need_tools_kwargs": true,
"question": "In a regular hexagonal pyramid, a line drawn through the centers of circles, inscribed one around a lateral face and the other around the larger diagonal cross-section, intersects the base side. Determine the dihedral angle at the base.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4426,
"need_tools_kwargs": true,
"question": "Let $p$ be a prime and $a$ and $n$ be natural numbers such that \\( \\frac{p^a - 1}{p-1} = 2^n \\). Find the number of natural divisors of $na$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "418",
"style": "rule"
} | {
"index": 4427,
"need_tools_kwargs": true,
"question": "Let $P(x)$ be a polynomial with integer coefficients that satisfies $P(17)=10$ and $P(24)=17.$ Given that $P(n)=n+3$ has two distinct integer solutions $n_1$ and $n_2,$ find the product $n_1\\cdot n_2.$",
"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": "16 November 1960",
"style": "rule"
} | {
"index": 4428,
"need_tools_kwargs": true,
"question": "When is Princess Nejla Bint Asem's mother's birthday?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 4429,
"need_tools_kwargs": true,
"question": "Are director of film The Brass Bottle (1923 Film) and director of film Intermezzo (1936 Film) 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": "John Constable",
"style": "rule"
} | {
"index": 4430,
"need_tools_kwargs": true,
"question": "Who sketched the \"Taddei Tondo\" following its arrival at the Royal Academy and published a letter in the Athenaeum of 3 July 1830 praising how it was lit?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Interscope Records",
"style": "rule"
} | {
"index": 4431,
"need_tools_kwargs": true,
"question": "Best Of was recorded by which American major record label whose parent company was Universal Music Group?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4432,
"need_tools_kwargs": true,
"question": "The solutions of the equation $z^4 + 4z^3i - 6z^2 - 4zi - i = 0$ are the vertices of a convex polygon in the complex plane. What is the area of the polygon? The original answer is in the form $2^{x/y}$, where $x$ and $y$ are integers, and $y$ cannot be zero. Please give the value of $x + y$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\"Pennsy\"",
"style": "rule"
} | {
"index": 4433,
"need_tools_kwargs": true,
"question": "The Shenandoah Valley Railroad had considerably backing from another railroad with what nickname?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Trevor Belmont",
"style": "rule"
} | {
"index": 4434,
"need_tools_kwargs": true,
"question": "What is the name of the character who is followed in the Netflix series in which James Callis is the voice of Alucard? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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, \\frac{1}{4}]",
"style": "rule"
} | {
"index": 4435,
"need_tools_kwargs": true,
"question": "Given the function $y=mx^{2}+x+5$, find the range of values for $m$ that makes the function increasing on the interval $[-2,+\\infty)$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{9}",
"style": "rule"
} | {
"index": 4436,
"need_tools_kwargs": true,
"question": "Henry pours six tablespoons of tea into a ten-tablespoon cup and four tablespoons of sugar into another cup of the same size. He then transfers two tablespoons of tea from the first cup to the second and adds two tablespoons of tea from an external source to the first cup. After stirring the second cup thoroughly, he transfers three tablespoons from the second cup back to the first. What fraction of the liquid in the first cup is now sugar?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4437,
"need_tools_kwargs": true,
"question": "已知 \\{a_n\\} 为等差数列，\\{b_n\\} 为等比数列，并且 a_1=b_1, a_2=5, a_3=4a_1=2b_2.(1) 求 \\{a_n\\},\\{b_n\\} 的通项公式；(2) 求数列 \\{a_nb_n\\} 的前 n 项和 S_n. 原始答案为1) a_n=pn-1,b_n=2^q；(2) r+2^{n+1}(sn-4)，请给出p+q+r+s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": "Owasco Lake",
"style": "rule"
} | {
"index": 4438,
"need_tools_kwargs": true,
"question": "Scipio Center is located 10.3 miles south of a city at the north end of what lake?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Chennai",
"style": "rule"
} | {
"index": 4439,
"need_tools_kwargs": true,
"question": "Where was the composer of film Pushpaka Vimana (1987 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": "Regal Entertainment Group and Cinemark Theatres",
"style": "rule"
} | {
"index": 4440,
"need_tools_kwargs": true,
"question": " What are two other big American Movie theater chains besides the one that is present at the Yorktown Center in Lombard?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "105",
"style": "rule"
} | {
"index": 4441,
"need_tools_kwargs": true,
"question": "Given Jane lists the whole numbers $1$ through $50$ once and Tom copies Jane's numbers, replacing each occurrence of the digit $3$ by the digit $2$, calculate how much larger Jane's sum is than Tom's sum.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4442,
"need_tools_kwargs": true,
"question": "Are both villages, Khud-E Pain and Kharai-Ye Pain, 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": "256",
"style": "rule"
} | {
"index": 4443,
"need_tools_kwargs": true,
"question": "In how many ways can all natural numbers from 1 to 200 be painted in red and blue so that no sum of two different numbers of the same color equals a power of two?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "4Kids Entertainment",
"style": "rule"
} | {
"index": 4444,
"need_tools_kwargs": true,
"question": "Which company dubbed the anime where Jesús Barrero is the of voice of Zanmase Truesdale in English?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Naked Girl Killed In The Park",
"style": "rule"
} | {
"index": 4445,
"need_tools_kwargs": true,
"question": "Which film has the director died first, Una Storia Semplice (Film) or Naked Girl Killed In The Park?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "25 km",
"style": "rule"
} | {
"index": 4446,
"need_tools_kwargs": true,
"question": "Towlers Bay is located in a national park that is situated how many Kilometers from Sydney ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Silk factory.",
"style": "rule"
} | {
"index": 4447,
"need_tools_kwargs": true,
"question": "What kind of factory did Anselm Kiefer transform into a studio in 1992?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "gender-blind",
"style": "rule"
} | {
"index": 4448,
"need_tools_kwargs": true,
"question": "The pansexual pride flag is used to increase visibility and recognition for people who may refer to theselves as 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": "74",
"style": "rule"
} | {
"index": 4449,
"need_tools_kwargs": true,
"question": "In the triangle \\(ABC\\), the angle bisector \\(AL\\) and the median \\(BM\\) are drawn. It turns out that \\(AB = 2BL\\). What is the measure of \\(\\angle BCA\\) if \\(\\angle LMA = 127^\\circ\\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4450,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Robbers Of The Range?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4451,
"need_tools_kwargs": true,
"question": "Given vectors $\\overrightarrow{a}$ and $\\overrightarrow{b}$ have an angle of $30^{\\circ}$ between them, and $|\\overrightarrow{a}|=\\sqrt{3}$, $|\\overrightarrow{b}|=1$,\n\n$(1)$ Find the value of $|\\overrightarrow{a}-2\\overrightarrow{b}|$\n\n$(2)$ Let vector $\\overrightarrow{p}=\\overrightarrow{a}+2\\overrightarrow{b}$, $\\overrightarrow{q}=\\overrightarrow{a}-2\\overrightarrow{b}$, find the projection of vector $\\overrightarrow{p}$ in the direction of $\\overrightarrow{q}$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Chocolate",
"style": "rule"
} | {
"index": 4452,
"need_tools_kwargs": true,
"question": "What song produced by English rock band The 1975 is featured on the film inspired by the novel \"Where Rainbow End\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Seth Rich murder conspiracy theory",
"style": "rule"
} | {
"index": 4453,
"need_tools_kwargs": true,
"question": "Which is the other theory of Ben Garrison except conspiracy theory that emerged and went viral during the 2016 United States presidential election cycle?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4454,
"need_tools_kwargs": true,
"question": "Are Little Wills Creek and Smithers Creek 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... | qa | {
"ground_truth": "15 January 2000",
"style": "rule"
} | {
"index": 4455,
"need_tools_kwargs": true,
"question": "What is the date of death of Ceca (Singer)'s husband?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "16 October 1983",
"style": "rule"
} | {
"index": 4456,
"need_tools_kwargs": true,
"question": "When did Lise Fjeldstad'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": "C. 155^\\circ",
"style": "rule"
} | {
"index": 4457,
"need_tools_kwargs": true,
"question": "In triangle $ABC$, let $AD$ be the bisector of angle $A$, which intersects the circle inscribed in the triangle at point $D$. Given that $\\angle BAC = 50^\\circ$, $\\angle ABC = 70^\\circ$, and $\\angle BCA = 60^\\circ$, find the angle $\\angle BDC$.\nA. $65^\\circ$\nB. $115^\\circ$\nC. $155^\\circ$\nD. $180^\\circ$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Gold Badge",
"style": "rule"
} | {
"index": 4458,
"need_tools_kwargs": true,
"question": "What prize was the translator of the song \"My Boy\" awarded? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4459,
"need_tools_kwargs": true,
"question": "Given that $0.3010 < \\log 2 < 0.3011$ and $0.4771 < \\log 3 < 0.4772$, find the leftmost digit of $12^{37}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{256}{3}\\pi",
"style": "rule"
} | {
"index": 4460,
"need_tools_kwargs": true,
"question": "A right circular cone sits on a table, pointing upwards. The cross-section triangle, perpendicular to the base, has a vertex angle of 45 degrees. The diameter of the cone's base is $16$ inches. A cylinder is also placed co-axially inside the cone, its height equal to the height of the cone and its diameter equal to half of the cone's base diameter. A sphere is placed inside the cylinder so that it is tangent to the sides of the cylinder and to the cone's sides. What is the volume, in cubic inches, of the sphere? Express your answer in terms of $\\pi$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Nicolas Vanier",
"style": "rule"
} | {
"index": 4461,
"need_tools_kwargs": true,
"question": "Who was the director of a French adventure film featuring French actress Margaux Chatelier?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "441",
"style": "rule"
} | {
"index": 4462,
"need_tools_kwargs": true,
"question": "Masha wrote on the board, in ascending order, all the natural divisors of a certain number \\( N \\) (the first divisor is 1, and the largest divisor is the number \\( N \\) itself). It turned out that the third-to-last divisor is 21 times larger than the second divisor. What is the largest possible value of \\( 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": "4",
"style": "rule"
} | {
"index": 4463,
"need_tools_kwargs": true,
"question": "Given the ellipse \\(\\frac{x^{2}}{a^{2}}+\\frac{y^{2}}{b^{2}}=1\\) where \\(a > b > 0\\) and \\(c^{2} + b^{2} = a^{2}\\), a line passing through a focus intersects the ellipse at points \\(M\\) and \\(N\\), and the length of segment \\(\\mathrm{MN}\\) ranges from 3 to 4. \n1. Find the equation of the ellipse.\n2. Let \\(\\mathrm{D}\\) and \\(\\mathrm{E}\\) be two points on the ellipse that are symmetric with respect to the \\(x\\)-axis. For any two points \\(A\\left(x_{1}, 0\\right)\\) and \\(B\\left(x_{2}, 0\\right)\\) on the \\(x\\)-axis, when \\(\\mathrm{DA}\\) does not touch the ellipse, the intersection of lines \\(\\mathrm{DA}\\) and \\(\\mathrm{BE}\\) still lies on the ellipse. Find the relationship between \\(x_{1}\\) and \\(x_{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": "no",
"style": "rule"
} | {
"index": 4464,
"need_tools_kwargs": true,
"question": "Do both Sa Bilis Walang Kaparis and Bits And Pieces (1996 Film) films have the directors from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-\\frac{7}{4}",
"style": "rule"
} | {
"index": 4465,
"need_tools_kwargs": true,
"question": "Given that \\(\\alpha\\) and \\(\\beta\\) satisfy \\(\\tan \\left(\\alpha + \\frac{\\pi}{3}\\right) = -3\\) and \\(\\tan \\left(\\beta - \\frac{\\pi}{6}\\right) = 5\\), find the value of \\(\\tan (\\alpha - \\beta)\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4466,
"need_tools_kwargs": true,
"question": "For a positive integer \\( n \\), the factorial notation \\( n! \\) represents the product of the integers from \\( n \\) to \\( 1 \\). Determine the value of \\( M \\) that satisfies the equation:\n\\[\n8! \\cdot 10! = 20 \\cdot M!\n\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 4467,
"need_tools_kwargs": true,
"question": "Do both directors of films Silent Evidence and Schwarzwaldmelodie 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": "November 18, 1890",
"style": "rule"
} | {
"index": 4468,
"need_tools_kwargs": true,
"question": "When is the director of film Down Home (Film) 's birthday?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "The Gorgon",
"style": "rule"
} | {
"index": 4469,
"need_tools_kwargs": true,
"question": "Which film whose director was born first, The Orphan (Film) or The Gorgon?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "137.0",
"style": "rule"
} | {
"index": 4470,
"need_tools_kwargs": true,
"question": "Find the maximum distance between two points, where one point is on the surface of a sphere centered at $(-2,-10,5)$ with a radius of 19, and the other point is on the surface of a sphere centered at $(12,8,-16)$ with a radius of 87.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2035",
"style": "rule"
} | {
"index": 4471,
"need_tools_kwargs": true,
"question": "数列 $\\left\\{a_{n}\\right\\}$ 满足 $a_{1}=1, \\frac{a_{n+1}-a_{n}}{a_{n}}=\\frac{a_{n+2}-a_{n+1}}{a_{n+2}}\\left(n \\in N^{*}\\right)$, 若 $a_{1} a_{2}+a_{2} a_{3}+\\cdots+a_{6} a_{7}=3$, 则 $a_{2024}=$ $\\qquad$.原始的答案是\\frac{m}{n}的形式，其中m、n是互质的。请给出最终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": "57,000",
"style": "rule"
} | {
"index": 4472,
"need_tools_kwargs": true,
"question": "In 2011 what was the population of the town in which Abbey Road Working Men's Club is located?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-1.5",
"style": "rule"
} | {
"index": 4473,
"need_tools_kwargs": true,
"question": "Consider the function $g(x)$ represented by the line segments in the graph below. The graph consists of four line segments as follows: connecting points (-3, -4) to (-1, 0), (-1, 0) to (0, -1), (0, -1) to (2, 3), and (2, 3) to (3, 2). Find the sum of the $x$-coordinates where $g(x) = x + 2$.",
"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": "13",
"style": "rule"
} | {
"index": 4474,
"need_tools_kwargs": true,
"question": "Let \\(M\\) be the intersection of the diagonals \\(AC\\) and \\(BD\\) of cyclic quadrilateral \\(ABCD\\). If \\(|AB|=5\\), \\(|CD|=3\\), and \\(m(\\widehat{AMB}) = 60^\\circ\\), find the circumradius of the quadrilateral. The original answer is in \\(\\frac{k\\sqrt{m}}{n}\\) format, please give the value of k + m + n.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Vrutham",
"style": "rule"
} | {
"index": 4475,
"need_tools_kwargs": true,
"question": "Which film has the director who died earlier, Aasha (1980 Film) or Vrutham?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 June 1940",
"style": "rule"
} | {
"index": 4476,
"need_tools_kwargs": true,
"question": "What is the date of death of Mignon Nevada's mother?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac {π}{2018}",
"style": "rule"
} | {
"index": 4477,
"need_tools_kwargs": true,
"question": "Given the function f(x) = sinωx + cosωx, if there exists a real number x₁ such that for any real number x, f(x₁) ≤ f(x) ≤ f(x₁ + 2018) holds true, then the minimum positive value of ω is ( ).\nA: $$\\frac {1}{2018}$$\nB: $$\\frac {π}{2018}$$\nC: $$\\frac {1}{4036}$$\nD: $$\\frac {π}{4036}$$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "770",
"style": "rule"
} | {
"index": 4478,
"need_tools_kwargs": true,
"question": "Find the sum of all the positive integers that are divisors of either $96$ or $180$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "13 October 1952",
"style": "rule"
} | {
"index": 4479,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film Katanga Business?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "689",
"style": "rule"
} | {
"index": 4480,
"need_tools_kwargs": true,
"question": "Determine the last three digits of the power $1973^{46}$ using the approximate values from the school square table.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "106",
"style": "rule"
} | {
"index": 4481,
"need_tools_kwargs": true,
"question": "Calculate the product of \\(2.1\\) and \\(50.8 - 0.45\\). What is the approximate value of this product?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "306090",
"style": "rule"
} | {
"index": 4482,
"need_tools_kwargs": true,
"question": "From the right angle \\( C \\) of triangle \\( ABC \\), a median \\( CM \\) is drawn. The circle inscribed in triangle \\( ACM \\) touches the side \\( CM \\) at its midpoint. Find the angles of triangle \\( ABC \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 - 2 \\cos 1 - 2 \\sin 1",
"style": "rule"
} | {
"index": 4483,
"need_tools_kwargs": true,
"question": "\nCompute the definite integral:\n\n$$\n\\int_{-1}^{0}\\left(x^{2}+4x+3\\right) \\cos(x) \\, dx\n$$",
"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": "a=2, k=5",
"style": "rule"
} | {
"index": 4484,
"need_tools_kwargs": true,
"question": "Given $A=\\{1, 2, 3, k\\}$, $B=\\{4, 7, a^4, a^2+3a\\}$, where $a\\in\\mathbb{N}^*$, $x\\in A$, $y\\in B$, and $f: x\\rightarrow y=3x+1$ is a function from the domain $A$ to the codomain $B$. Find the values of $a$ and $k$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 4485,
"need_tools_kwargs": true,
"question": "The sequence $\\left\\{x_{n}\\right\\}: 1,3,3,3,5,5,5,5,5, \\cdots$ is formed by arranging all positive odd numbers in increasing order, and each odd number $k$ appears consecutively $k$ times, where $k=1,3,5, \\cdots$. If the general term formula of this sequence is given by $x_{n}=a[\\sqrt{b n+c}]+d$, find the value of $a+b+c+d$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 4486,
"need_tools_kwargs": true,
"question": "Did the movies Femme Fatale (1991 film) and Ghoul (2015 film), originate from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "14",
"style": "rule"
} | {
"index": 4487,
"need_tools_kwargs": true,
"question": "There are 12 people standing equally spaced around a circle. Each person knows exactly 3 of the other 11 people: the 2 people standing next to them and the person directly across the circle. Determine the number of ways to split the 12 people into 6 pairs such that each pair consists of people who know each other, ensuring that no three people who know each other form a triangular pairing.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Duchovny",
"style": "rule"
} | {
"index": 4488,
"need_tools_kwargs": true,
"question": "Who plays the main character of the show in which Stephen Tobolowsky plays the role of Stu Beggs?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4489,
"need_tools_kwargs": true,
"question": "Suppose \\( S = \\{1, 2, \\cdots, 2005\\} \\). If any subset of \\( S \\) containing \\( n \\) pairwise coprime numbers always includes at least one prime number, find the minimum value of \\( 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": "1",
"style": "rule"
} | {
"index": 4490,
"need_tools_kwargs": true,
"question": "Let \\( n \\) be a positive integer and \\( d \\) be the greatest common divisor of \\( n^2 + 1 \\) and \\( (n+1)^2 + 1 \\). Find all the possible values of \\( d \\). Justify 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": "yes",
"style": "rule"
} | {
"index": 4491,
"need_tools_kwargs": true,
"question": "Are both director of film The Eternal Grind and director of film Sweet Sixteen (1983 film) from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "a = \\frac{5\\pi}{12}",
"style": "rule"
} | {
"index": 4492,
"need_tools_kwargs": true,
"question": "Given the function $f(x) = 3\\sin(2x - \\frac{\\pi}{3})$, if the function $y = f(x + a)$ $(0 < a < \\frac{\\pi}{2})$ is an even function, 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": "0",
"style": "rule"
} | {
"index": 4493,
"need_tools_kwargs": true,
"question": "有__________组整数 (m,n) 满足 m^2-11mn-8n^2=88.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 McCormack",
"style": "rule"
} | {
"index": 4494,
"need_tools_kwargs": true,
"question": "Which star of the TV series \"Will & Grace\" also appears in the film The Sisters?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "January 11, 2010",
"style": "rule"
} | {
"index": 4495,
"need_tools_kwargs": true,
"question": "When did the person whose final season was the ninth announce he was no longer going to be a judge?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Bell Boeing V-22 Osprey",
"style": "rule"
} | {
"index": 4496,
"need_tools_kwargs": true,
"question": "The \"Whidbey Island\" Landing ship is designed with a well deck large enough to support Military aircraft as large as this Multi-mission helicopter?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{5}{7}",
"style": "rule"
} | {
"index": 4497,
"need_tools_kwargs": true,
"question": "The ratio of the sums of the first $n$ terms of two arithmetic sequences is $5:7$. What is the ratio of their 7th terms?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4498,
"need_tools_kwargs": true,
"question": "函数 $y=\\frac{(\\sin x-1)(\\cos x-1)}{2+\\sin 2 x}(x \\in \\mathbf{R})$ 的最大值是多少？",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Roc Nation",
"style": "rule"
} | {
"index": 4499,
"need_tools_kwargs": true,
"question": "Just Begun is a posse cut featuring versus from several rappers including an American hip hop recording artist and record producer from New Orleans, who signed to what record label in November 2010?",
"split": "train"
} | null |
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