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": "5526",
"style": "rule"
} | {
"index": 9400,
"need_tools_kwargs": true,
"question": "mr . karan borrowed a certain amount at 6 % per annum simple interest for 9 years . after 9 years , he returned rs . 8510 / - . find out the amount that he borrowed .",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "28 September 1980",
"style": "rule"
} | {
"index": 9401,
"need_tools_kwargs": true,
"question": "When is the founder of Freetricity '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": "Patterson and Chatto",
"style": "rule"
} | {
"index": 9402,
"need_tools_kwargs": true,
"question": "Who produced Clean Bandit's Grammy Award-winning single ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{3 + \\sqrt{5}}{2}",
"style": "rule"
} | {
"index": 9403,
"need_tools_kwargs": true,
"question": "Given that the radius of the incircle of an equilateral triangle \\(ABC\\) is 2 and the center of this circle is \\(I\\). If point \\(P\\) satisfies \\(P I = 1\\), what is the maximum value of the ratio of the areas of \\(\\triangle APB\\) to \\(\\triangle APC\\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "263",
"style": "rule"
} | {
"index": 9404,
"need_tools_kwargs": true,
"question": "The sequences of positive integers $1,a_2, a_3, \\dots$ and $1,b_2, b_3, \\dots$ are an increasing arithmetic sequence and an increasing geometric sequence, respectively. Let $c_n=a_n+b_n$. There is an integer $k$ such that $c_{k-1}=120$ and $c_{k+1}=1200$. Find $c_k$.",
"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": "-0.25",
"style": "rule"
} | {
"index": 9405,
"need_tools_kwargs": true,
"question": "Find all values of the parameter \\(a\\) for which the quadratic trinomial \\(\\frac{1}{3} x^2 + \\left(a+\\frac{1}{2}\\right) x + \\left(a^2 + a\\right)\\) has two roots, the sum of the cubes of which is exactly 3 times their product. In your answer, specify the largest of such \\(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": "30",
"style": "rule"
} | {
"index": 9406,
"need_tools_kwargs": true,
"question": "The golden ratio $\\phi = \\frac{1+\\sqrt{5}}{2}$ satisfies the property $\\phi^2 = \\phi + 1$. Point $P$ lies inside equilateral triangle $\\triangle ABC$ such that $PA = \\phi$, $PB = 2$, and $\\angle APC$ measures $150$ degrees. What is the measure of $\\angle BPC$ in degrees?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{1}{2}",
"style": "rule"
} | {
"index": 9407,
"need_tools_kwargs": true,
"question": "Given the function $f(x) = \\cos(2x - \\frac{\\pi}{3}) + 2\\sin^2x$,\n(I) Find the period of the function $f(x)$ and the intervals where it is monotonically increasing;\n(II) When $x \\in [0, \\frac{\\pi}{2}]$, find the maximum and minimum values of the function $f(x)$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1400",
"style": "rule"
} | {
"index": 9408,
"need_tools_kwargs": true,
"question": "Triangles $ABC$ and $AFG$ have areas $3009$ and $9003,$ respectively, with $B=(0,0), C=(331,0), F=(800,450),$ and $G=(813,463).$ What is the sum of all possible $x$-coordinates of $A$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 9409,
"need_tools_kwargs": true,
"question": "Were Nitanju Bolade Casel and Carlos Gutierrez 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": "Belgian",
"style": "rule"
} | {
"index": 9410,
"need_tools_kwargs": true,
"question": "What nationality is the composer of film The Belly Of An Architect?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "29 May 1779",
"style": "rule"
} | {
"index": 9411,
"need_tools_kwargs": true,
"question": "What is the date of death of Lord George Manners-Sutton'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": "Heinz Gerischer",
"style": "rule"
} | {
"index": 9412,
"need_tools_kwargs": true,
"question": "What is the full name of the German chemist who won the Bourke Award in 1965?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "11",
"style": "rule"
} | {
"index": 9413,
"need_tools_kwargs": true,
"question": "For each positive digit $D$ and positive integer $k$, we use the symbol $D_{(k)}$ to represent the positive integer having exactly $k$ digits, each of which is equal to $D$. For example, $2_{(1)}=2$ and $3_{(4)}=3333$. There are $N$ quadruples $(P, Q, R, k)$ with $P, Q$ and $R$ positive digits, $k$ a positive integer with $k \\leq 2018$, and $P_{(2k)}-Q_{(k)}=\\left(R_{(k)}\\right)^{2}$. What is the sum of the digits 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": 9414,
"need_tools_kwargs": true,
"question": "Let \\( x \\) be the number of 7th graders who together scored \\( n \\) points in the tournament. The number of 8th graders participating in the tournament is \\( 10 \\times x \\), and they scored a total of \\( 4.5 \\times n \\) points. Thus, the total number of students participating in the tournament is \\( 11 \\times x \\), and they scored \\( 5.5 \\times n \\) points collectively. The total number of points scored by all participants is equal to the number of games played. We obtain the equation:\n\n$$\n\\begin{gathered}\n5.5 \\times n = \\frac{11 \\times x \\times (11x - 1)}{2} \\\\\nn = x \\times (11x - 1)\n\\end{gathered}\n$$\n\nEach 7th grader played \\( 11x - 1 \\) games (since there are \\( 11x \\) participants in total). Therefore, \\( x \\) 7th graders could collectively score \\( n \\) points, i.e., \\( x \\times (11x - 1) \\) points, only if each of them won all their games. This is possible only when \\( x = 1 \\) (since two 7th graders cannot simultaneously win against each other).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2008",
"style": "rule"
} | {
"index": 9415,
"need_tools_kwargs": true,
"question": "What year was the rock musical, in which Michael Greif was the stage director, released?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "80",
"style": "rule"
} | {
"index": 9416,
"need_tools_kwargs": true,
"question": "Find the greatest integer which doesn't exceed $\\frac{3^{100}+2^{100}}{3^{96}+2^{96}}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9417,
"need_tools_kwargs": true,
"question": "Are T. H. Rogers School and Bendigo Senior Secondary College 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": "84.0079",
"style": "rule"
} | {
"index": 9418,
"need_tools_kwargs": true,
"question": "the inner circumference of a circular race track , 14 m wide , is 440 m . find radius of the outer circle .",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 23, 1932 ",
"style": "rule"
} | {
"index": 9419,
"need_tools_kwargs": true,
"question": "On what day, month, and year was Masaki Tsuji 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": "2019",
"style": "rule"
} | {
"index": 9420,
"need_tools_kwargs": true,
"question": "Kristýna chose a certain odd natural number divisible by three. Jakub and David then examined triangles with a perimeter in millimeters equal to the number chosen by Kristýna, where the sides have lengths in millimeters expressed as mutually distinct integers.\n\nJakub found a triangle in which the longest side has the maximum possible length and wrote this value on the board. David found a triangle in which the shortest side has the maximum possible length and wrote this value on the board as well. Kristýna correctly added both lengths on the board and got $1681 \\mathrm{~mm}$.\n\nDetermine the number Kristýna chose.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 3, 1954",
"style": "rule"
} | {
"index": 9421,
"need_tools_kwargs": true,
"question": "When did the director of film Honeymoon In Rio 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": "37",
"style": "rule"
} | {
"index": 9422,
"need_tools_kwargs": true,
"question": "Sixty students went on a trip to the zoo. Upon returning to school, it turned out that 55 of them forgot gloves at the zoo, 52 forgot scarves, and 50 managed to forget hats. Find the smallest number of the most scatterbrained students - those who lost all three items.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "What's New, Scooby-Doo?",
"style": "rule"
} | {
"index": 9423,
"need_tools_kwargs": true,
"question": "What was the first ongoing TV series to feature the voice of Erin van Oosbree as Daphne Blake?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "100",
"style": "rule"
} | {
"index": 9424,
"need_tools_kwargs": true,
"question": "Six distinct positive integers are randomly chosen between $1$ and $2011;$ inclusive. The probability that some pair of the six chosen integers has a di\u000bfference that is a multiple of $5 $ is $n$ percent. Find $n.$",
"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": "vocalist",
"style": "rule"
} | {
"index": 9425,
"need_tools_kwargs": true,
"question": "What do Jimi Goodwin and Sarah Nixey have in common?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1770",
"style": "rule"
} | {
"index": 9426,
"need_tools_kwargs": true,
"question": "Find the smallest natural number that is greater than the sum of its digits by 1755.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Chukwuedu Nathaniel II Nwokolo",
"style": "rule"
} | {
"index": 9427,
"need_tools_kwargs": true,
"question": "What internationally distinguished tropical diseases, nutrition, human, medical, biological and life sciences expert found a way to fight a group of blood disorders typically inherited from a person's parents?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9428,
"need_tools_kwargs": true,
"question": "Were Aleksandr Syomin and Radek Voltr of the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "The Magic Crystal",
"style": "rule"
} | {
"index": 9429,
"need_tools_kwargs": true,
"question": "Which film has the director born earlier, The Magic Crystal or Id：A?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Detroit, Michigan",
"style": "rule"
} | {
"index": 9430,
"need_tools_kwargs": true,
"question": "Where did the professional career of the director of music videos of an American rapper born in 1975 begin?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2",
"style": "rule"
} | {
"index": 9431,
"need_tools_kwargs": true,
"question": "How many television match officials were from England in the 2019 Rugby World Cup?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9432,
"need_tools_kwargs": true,
"question": "In the non-decreasing sequence of odd integers $\\{a_1,a_2,a_3,\\ldots \\}=\\{1,3,3,3,5,5,5,5,5,\\ldots \\}$ each odd positive integer $k$ appears $k$ times. It is a fact that there are integers $b, c$, and $d$ such that for all positive integers $n$, $a_n=b\\lfloor \\sqrt{n+c} \\rfloor +d$, where $\\lfloor x \\rfloor$ denotes the largest integer not exceeding $x$. The sum $b+c+d$ equals",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Natasha Lyonne and Judy Garland",
"style": "rule"
} | {
"index": 9433,
"need_tools_kwargs": true,
"question": "What two people did Jinkx Monsoon portray in RPDR All-Stars Season 7 Snatch Game?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"index": 9434,
"need_tools_kwargs": true,
"question": "In the multiplication shown below, where \\( A \\), \\( B \\), \\( C \\), and \\( D \\) are distinct digits, determine how many different values are possible for \\( D \\).\n\n\\[\n\\begin{tabular}{cccccc}\n& & A & B & B & C \\\\\n\\times & & & & B & C \\\\\n\\hline\n& D & B & D & D & D\n\\end{tabular}\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": "October 14, 1977",
"style": "rule"
} | {
"index": 9435,
"need_tools_kwargs": true,
"question": "When did the performer of song Silver Bells 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": "10",
"style": "rule"
} | {
"index": 9436,
"need_tools_kwargs": true,
"question": "设 $x_{1}=3, x_{n+1}=\\sqrt{x_{n}+14}-\\sqrt{x_{n}+2}\\left(n \\in N^{*}\\right)$, 求 $\\left[x_{1}+x_{2}+\\cdots+x_{n}\\right]$ 的值，其中 $n \\geq 2$。若$n =5$，请给出 $\\left[x_{1}+x_{2}+\\cdots+x_{n}\\right]$ 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": "a public museum",
"style": "rule"
} | {
"index": 9437,
"need_tools_kwargs": true,
"question": "What is the Greek Revival style residence that Thomas Waley built in San Diego now?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Patrick Pierre Roger Baudry",
"style": "rule"
} | {
"index": 9438,
"need_tools_kwargs": true,
"question": "Which French Air Force officer is a former CNES astronaut, Jean-Pierre Haigneré or Patrick Baudry?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 31, 1981",
"style": "rule"
} | {
"index": 9439,
"need_tools_kwargs": true,
"question": "What is the birthday of the woman Romy Ruyssen fought in the first Invicta Fighting Championships?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "April 7, 2013",
"style": "rule"
} | {
"index": 9440,
"need_tools_kwargs": true,
"question": "When was the event that Living Colour performed the song Cult of Personality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 + \\sqrt{5}}{4}",
"style": "rule"
} | {
"index": 9441,
"need_tools_kwargs": true,
"question": "Compute $\\cos 72^\\circ.$",
"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": "Martell Webster",
"style": "rule"
} | {
"index": 9442,
"need_tools_kwargs": true,
"question": "Who was taken sixth in an event that occured on June 28th 2005 in the Theatre at Madison Square Garden?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9443,
"need_tools_kwargs": true,
"question": "求具有下述性质的最小正常数 c：对任意一个简单图 G=G(V,E)，只要 |E|\\geq c|V|，则 G 一定含有两个无公共顶点的圈，并且其中之一是带弦圈.注：图 G(V,E) 的圈是指一个两两不同的顶点序列 \\{v_1,v_2,\\cdots,v_n\\}\\subseteq V，其中 v_iv_{i+1}\\in E(1\\leq i\\leq n) （这里 n\\geq 3,v_{n+1}=v_1）；带弦圈是指一个圈 \\{v_1,v_2,\\cdots,v_n\\}，且存在 i,j，1<i-j<n-1，满足 v_iv_j\\in E.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Fred Wolf",
"style": "rule"
} | {
"index": 9444,
"need_tools_kwargs": true,
"question": "The man voted Favorite Pop-Culture Werewolf of All Time in 2011 also stars in an upcoming film directed by who?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Interscope Records",
"style": "rule"
} | {
"index": 9445,
"need_tools_kwargs": true,
"question": " Compton is the third studio album and follow up to an album that was released on November 16 by who?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"index": 9446,
"need_tools_kwargs": true,
"question": "The multiplication \\(abc \\times de = 7632\\) uses each of the digits 1 to 9 exactly once. Determine the value of \\(b\\) in the three-digit number \\(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": "11",
"style": "rule"
} | {
"index": 9447,
"need_tools_kwargs": true,
"question": "已知函数 $f(x)=a x^{3}+b x^{2}+c x+d(a \\neq 0)$, 当 $0 \\leqslant x \\leqslant 1$ 时, $\\left|f^{\\prime}(x)\\right| \\leqslant 1$, 试求 $a$ 的最大值。\n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... | math | {
"ground_truth": "\\frac{1}{3}",
"style": "rule"
} | {
"index": 9448,
"need_tools_kwargs": true,
"question": "Given that there are 4 tiers of horses, with Tian Ji's top-tier horse being better than King Qi's middle-tier horse, worse than King Qi's top-tier horse, Tian Ji's middle-tier horse being better than King Qi's bottom-tier horse, worse than King Qi's middle-tier horse, and Tian Ji's bottom-tier horse being worse than King Qi's bottom-tier horse, determine the probability that Tian Ji's selected horse wins the race.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Blackheart Records",
"style": "rule"
} | {
"index": 9449,
"need_tools_kwargs": true,
"question": "What record company does distribution for Joan Marie Larkin and Kenny Laguna?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Family Doctor",
"style": "rule"
} | {
"index": 9450,
"need_tools_kwargs": true,
"question": "What was the name of the painting that Norman Rockwell dedicated to the American Heart Association's 1958 \"Heart Fund\" campaign?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "12",
"style": "rule"
} | {
"index": 9451,
"need_tools_kwargs": true,
"question": "A certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the first 9 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 9452,
"need_tools_kwargs": true,
"question": "Are Malian, Hamadan and Chahar Taq, Markazi 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": "fretless lute",
"style": "rule"
} | {
"index": 9453,
"need_tools_kwargs": true,
"question": "What type of instrument is the Sagar Veena, invented by the father of musician Noor Zehra?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 June 1883",
"style": "rule"
} | {
"index": 9454,
"need_tools_kwargs": true,
"question": "What is the date of birth of Pierre Delaunay'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": "Hancock County",
"style": "rule"
} | {
"index": 9455,
"need_tools_kwargs": true,
"question": "The Squire Ignatius Haskell House is located in what county?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "[1,3]",
"style": "rule"
} | {
"index": 9456,
"need_tools_kwargs": true,
"question": "The monotonic decreasing interval of the function $f(x)= \\sqrt{-x^{2}+2x+3}$ 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": "22 March 1832",
"style": "rule"
} | {
"index": 9457,
"need_tools_kwargs": true,
"question": "When did the editor of magazine Propyläen 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": "x \\geqslant -3",
"style": "rule"
} | {
"index": 9458,
"need_tools_kwargs": true,
"question": "The range of values for $x$ that make the quadratic root $\\frac{\\sqrt{x+3}}{3}$ meaningful 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": "anti-drug program",
"style": "rule"
} | {
"index": 9459,
"need_tools_kwargs": true,
"question": "Most Valuable Player for the 2007 Anaheim Classic was dismissed from the NBA for violating the league's 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": "yes",
"style": "rule"
} | {
"index": 9460,
"need_tools_kwargs": true,
"question": "Do both The Heart Specialist (1922 Film) and Stagecoach To Dancers' Rock 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... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 9461,
"need_tools_kwargs": true,
"question": "Are Meanjin and Flare (Magazine) 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... | math | {
"ground_truth": "(2+2+2) \\times (2+2)",
"style": "rule"
} | {
"index": 9462,
"need_tools_kwargs": true,
"question": "Place parentheses and operation signs in the sequence 22222 so that the result is 24.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(-3, \\frac{1}{3})",
"style": "rule"
} | {
"index": 9463,
"need_tools_kwargs": true,
"question": "Given that $i$ is the imaginary unit and the complex number $z$ satisfies $(z-2)i=-3-i$.\n(1) Find $z$;\n(2) If the complex number $\\frac{x+i}{z}$ corresponds to a point in the first quadrant of the complex plane, find the range of values for the real number $x$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 9464,
"need_tools_kwargs": true,
"question": "Five friends Annie, Beth, Cass, Dana, and Ella were watching a movie in a row of 5 seats numbered 1 to 5 from left to right. While Annie went to buy a snack, Beth moved one seat to the left, Cass and Dana swapped places, and Ella moved three seats to the left, landing in an end seat. Determine in which seat Annie was originally sitting.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Mike Friedrich and Jim Starlin",
"style": "rule"
} | {
"index": 9465,
"need_tools_kwargs": true,
"question": "War Is Hell was a horror/war comic book series the star of which became a fictional character created by who?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 9466,
"need_tools_kwargs": true,
"question": "Are both director of film Code 8 (2016 film) and director of film Louise Dahl-Wolfe: Painting with Light 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": "3,000 Black Loyalists",
"style": "rule"
} | {
"index": 9467,
"need_tools_kwargs": true,
"question": "The Snowball family included Nathaniel, who was recorded in a document that held names and descriptions 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": "Andy Tielman",
"style": "rule"
} | {
"index": 9468,
"need_tools_kwargs": true,
"question": "Which artist was an important figure in the musical style called Nederpop?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9469,
"need_tools_kwargs": true,
"question": "Given that in $\\triangle ABC$, the side $a=2$ opposite to angle $A$, and $\\cos A= \\frac{15}{17}$, find the maximum length of the median drawn to side $BC$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Knowlton Hall",
"style": "rule"
} | {
"index": 9470,
"need_tools_kwargs": true,
"question": "Kyle Ezell is a professor at what School of Architecture building at Ohio State?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-\\frac{1}{2}",
"style": "rule"
} | {
"index": 9471,
"need_tools_kwargs": true,
"question": "The graph of the function $f(x)=\\sin (2x+\\varphi )$ $(|\\varphi| < \\frac{\\pi}{2})$ is shifted to the left by $\\frac{\\pi}{6}$ units, and the resulting graph corresponds to an even function. Find the minimum value of $m$ such that there exists $x \\in \\left[ 0,\\frac{\\pi}{2} \\right]$ such that the inequality $f(x) \\leqslant m$ holds.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "5982",
"style": "rule"
} | {
"index": 9472,
"need_tools_kwargs": true,
"question": "设\\{a_n\\}是等差数列，满足a_{2021}=a_{20}+a_{21}=1，则a_1的值可以表示为\\frac{k}{m}，其中k和m是互质的整数。请计算k+m的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "a_n = (-1)^n \\frac {2n+1}{2n}",
"style": "rule"
} | {
"index": 9473,
"need_tools_kwargs": true,
"question": "The general term formula for the sequence $$\\frac {3}{2}$$, $$\\frac {5}{4}$$, $$\\frac {7}{6}$$, $$\\frac {9}{8}$$… 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": "Apologia Pro Poemate Meo",
"style": "rule"
} | {
"index": 9474,
"need_tools_kwargs": true,
"question": "What poem by the author of the poems \"Insensibility\" and \"Futility\" is often viewed as a reply to Robert Graves?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Pharrell",
"style": "rule"
} | {
"index": 9475,
"need_tools_kwargs": true,
"question": "What American singer and producer does Snoop Dogg's song that includes a stutter edit feature?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "12",
"style": "rule"
} | {
"index": 9476,
"need_tools_kwargs": true,
"question": "1. Call a year ultra-even if all of its digits are even. Thus \\(2000, 2002, 2004, 2006\\), and \\(2008\\) are all ultra-even years. They are all 2 years apart, which is the shortest possible gap. \\(2009\\) is not an ultra-even year because of the \\(9\\), and \\(2010\\) is not an ultra-even year because of the \\(1\\).\n\n(a) In the years between the years 1 and 10000, what is the longest possible gap between two ultra-even years? Give an example of two ultra-even years that are far apart with no ultra-even years between them. Justify your answer.\n\n(b) What is the second-shortest possible gap (that is, the shortest gap longer than 2 years) between two ultra-even years? Again, give an example, and 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... | math | {
"ground_truth": "23",
"style": "rule"
} | {
"index": 9477,
"need_tools_kwargs": true,
"question": "Let $f(x) = x^2 - 3x + 4$ and $g(x) = 2x + 1$. Calculate $f(g(3)) - g(f(3))$.",
"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": "3",
"style": "rule"
} | {
"index": 9478,
"need_tools_kwargs": true,
"question": "In triangle $ABC,$ $AB = 3,$ $AC = 6,$ and $\\cos \\angle A = \\frac{1}{8}.$ Find the length of angle bisector $\\overline{AD}.$",
"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... | math | {
"ground_truth": "2.5",
"style": "rule"
} | {
"index": 9479,
"need_tools_kwargs": true,
"question": "Gina's running app tracked her average rate in minutes per kilometre. After starting the app, Gina stood still for 15 seconds and then ran at a constant rate of 7 minutes per kilometre for the rest of the run. How many kilometres did Gina run between when her app showed her average rate as 7 minutes 30 seconds per kilometre and when it showed 7 minutes 5 seconds per kilometre?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Triumph Of Sherlock Holmes",
"style": "rule"
} | {
"index": 9480,
"need_tools_kwargs": true,
"question": "Which film has the director who is older, Shararat (1944 Film) or The Triumph Of Sherlock Holmes?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 November 1982",
"style": "rule"
} | {
"index": 9481,
"need_tools_kwargs": true,
"question": "When did the director of film The First Mass 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": "American",
"style": "rule"
} | {
"index": 9482,
"need_tools_kwargs": true,
"question": "What nationality is the director of film The Silent Accuser?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2,934",
"style": "rule"
} | {
"index": 9483,
"need_tools_kwargs": true,
"question": "According to the 2010 census, what was the population of the village in which Fresh Meadow Country 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": "\\frac{4011}{2}",
"style": "rule"
} | {
"index": 9484,
"need_tools_kwargs": true,
"question": "Let $S$ be the set of positive real numbers. Let $f : S \\to \\mathbb{R}$ be a function such that\n\\[f(x) f(y) = f(xy) + 2005 \\left( \\frac{1}{x} + \\frac{1}{y} + 2004 \\right)\\]for all $x,$ $y > 0.$\n\nLet $n$ be the number of possible values of $f(2),$ and let $s$ be the sum of all possible values of $f(2).$ Find $n \\times s.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "George Alan O'Dowd",
"style": "rule"
} | {
"index": 9485,
"need_tools_kwargs": true,
"question": "Who has been on a British television music competition show and was was most popular in the 80's with the pop band 'Culture Club'?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "the George Washington Bridge",
"style": "rule"
} | {
"index": 9486,
"need_tools_kwargs": true,
"question": " The Soul of Buddha is a 1918 American silent romance film shot in a borough that is the western terminus 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": "Claire Danes",
"style": "rule"
} | {
"index": 9487,
"need_tools_kwargs": true,
"question": "Which star of William Shakespeare's Romeo + Juliet movie was named one of the 100 most influential people in the world by Time magazine in 2012?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Russell George Tovey",
"style": "rule"
} | {
"index": 9488,
"need_tools_kwargs": true,
"question": "What English actor starred in the British based film company, Forward Films, Irish Monster Movie \"Grabbers\"? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9489,
"need_tools_kwargs": true,
"question": "Given the function $f$ defined as follows: \\[ f(0) = 0, \\] \\[ f(1) = 1, \\] and for every integer $n \\geq 1$, \\[ f(3n-1) = f(n) - 1, \\] \\[ f(3n) = f(n), \\] \\[ f(3n+1) = f(n) + 1. \\] Find the value of $f(2011)$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9490,
"need_tools_kwargs": true,
"question": "已知 $p, q(q \\neq 0)$ 是实数, 方程 $x^{2}-p x+q=0$ 有两个实根 $\\alpha, \\beta$, 数列 $\\left\\{a_{n}\\right\\}$ 满足 $a_{1}=p, a_{2}=p^{2}-q, \\quad a_{n}=p a_{n-1}-q a_{n-2}(n=3,4, \\cdots)$ 。求数列 $\\left\\{a_{n}\\right\\}$ 的通项公式（用 $\\alpha, \\beta$ 表示）。已知答案的形式为 \\frac{k\\beta^{n+1} - m\\alpha^{n+1}}{k-m}，请给出k + m的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "25",
"style": "rule"
} | {
"index": 9491,
"need_tools_kwargs": true,
"question": "Five guys join five girls for a night of bridge. Bridge games are always played by a team of two guys against a team of two girls. The guys and girls want to make sure that every guy and girl play against each other an equal number of times. Given that at least one game is played, what is the least number of games necessary to accomplish this?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Argentine",
"style": "rule"
} | {
"index": 9492,
"need_tools_kwargs": true,
"question": "What nationality is the composer of song El Día Que Me Quieras (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... | math | {
"ground_truth": "\\frac{44}{3}",
"style": "rule"
} | {
"index": 9493,
"need_tools_kwargs": true,
"question": "Two circles with centers at points $A$ and $B$ are externally tangent and have radii of $7$ and $4$ respectively. A line tangent to both circles intersects ray $AB$ at point $C$. What is the distance from point $B$ to point $C$ ($BC$)?\nA) $\\frac{44}{3}$\nB) $\\frac{33}{2}$\nC) $15.3$\nD) $14.7$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Panathenaic Stadium",
"style": "rule"
} | {
"index": 9494,
"need_tools_kwargs": true,
"question": "When Alex Buesnel won a gold medal, where did the opening ceremony take 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": "12",
"style": "rule"
} | {
"index": 9495,
"need_tools_kwargs": true,
"question": "We draw a regular $m$-gon on each side of a regular $k$-gon outward. We know that the vertices of these $m$-gons, which are different from the vertices of the $k$-gon, form a regular $n$-gon. Determine the numbers $k, m$, and $n$.",
"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": "yes",
"style": "rule"
} | {
"index": 9496,
"need_tools_kwargs": true,
"question": "Do Tracey Thomson and Harry Lochhead have the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 9497,
"need_tools_kwargs": true,
"question": "Xiaoming bought 4 apples, 6 pears, and 8 peaches, while Xiaohong bought 5 apples, 7 pears, and 6 peaches. Over the next 18 days, each of them eats one fruit per day. On three days, both of them eat apples; on two days, both eat pears; and on three days, one eats an apple while the other eats a pear. How many days do both of them eat peaches?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9498,
"need_tools_kwargs": true,
"question": "Six-digit integers will be written using each of the digits $1$ through $6$ exactly once per six-digit integer. How many different positive integers can be written such that all pairs of consecutive digits of each integer are relatively prime? (Note: $1$ is relatively prime to all integers.)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "3,861",
"style": "rule"
} | {
"index": 9499,
"need_tools_kwargs": true,
"question": "What is the population of the town that is home to Tintara? ",
"split": "train"
} | null |
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