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": "126, 6",
"style": "rule"
} | {
"index": 9200,
"need_tools_kwargs": true,
"question": "Given an increasing sequence of 8 real numbers, Diana listed all possible sequences of 4 consecutive numbers. It turned out that two of the five new sequences are arithmetic progressions with common differences of 4 and 36, respectively, and one of the sequ... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9201,
"need_tools_kwargs": true,
"question": "Are Girls Under 21 and Vice Squad (1953 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": "Yes",
"style": "rule"
} | {
"index": 9202,
"need_tools_kwargs": true,
"question": "Does the 'Business World' article suggest that the 'Finance department of the Philippines' is taking measures to reduce debt, while the 'Globes English | Israel Business Arena' article indicates that the 'high-tech industry' is experiencing a reduction in s... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}^{N}\\frac{1}{i}",
"style": "rule"
} | {
"index": 9203,
"need_tools_kwargs": true,
"question": "In a deck of $N$ cards, the cards are denoted by $1$ to $N$ . These cards are dealt to $N$ people twice. A person $X$ wins a prize if there is no person $Y$ who got a card with a smaller number than $X$ both times. Determine the expected number... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "18",
"style": "rule"
} | {
"index": 9204,
"need_tools_kwargs": true,
"question": "If $a$, $b$, $c$, $d$, and $e$ are constants such that every $x > 0$ satisfies\n\\[ \\frac{5x^4 - 8x^3 + 2x^2 + 4x + 7}{(x + 2)^4} = a + \\frac{b}{x + 2} + \\frac{c}{(x + 2)^2} + \\frac{d}{(x + 2)^3} + \\frac{e}{(x + 2)^4} \\, ,\\]\nthen what is the value o... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9205,
"need_tools_kwargs": true,
"question": "Are director of film Arruza (film) and director of film As Good as It Gets 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": "SBS",
"style": "rule"
} | {
"index": 9206,
"need_tools_kwargs": true,
"question": "On which station could you have watched the actor from \"My Fair Lady\" play a character in \"I Can Hear Your Voice\"? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Judy Clare Clarke",
"style": "rule"
} | {
"index": 9207,
"need_tools_kwargs": true,
"question": "What American criminal defense attorney defended an American domestic terrorist who killed two people in the southern United States by bombing?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Dennis Dexter Haysbert",
"style": "rule"
} | {
"index": 9208,
"need_tools_kwargs": true,
"question": "What American film and television actor was featured in, Heat, a 1995 American crime film written, produced and directed by Michael Mann?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "11 December 1922",
"style": "rule"
} | {
"index": 9209,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film Abhirami (Film)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "47.62",
"style": "rule"
} | {
"index": 9210,
"need_tools_kwargs": true,
"question": "In a certain geometric diagram, a rectangle, a circle and a square are interconnected. The length of the rectangle is one fourth of the radius of the circle. The radius of the circle is equivalent to the side of a square, whose area is 784 sq. units. In the... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9211,
"need_tools_kwargs": true,
"question": "What nationality is the director of film The Eternal Grind?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "German",
"style": "rule"
} | {
"index": 9212,
"need_tools_kwargs": true,
"question": "Which country the composer of film Diamond Skulls is from?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"index": 9213,
"need_tools_kwargs": true,
"question": "Michael chooses real numbers $ a $ and $ b $ independently and randomly from $ (0, 1) $. Given that $ a $ and $ b $ differ by at most $ \\frac{1}{4} $, what is the probability $ a $ and $ b $ are both greater than $ \\frac{1}{2} $? The original answer is in... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Scream Factory",
"style": "rule"
} | {
"index": 9214,
"need_tools_kwargs": true,
"question": "What company released the on demand version of a 2015 horror film starring an American actor born on September 5, 1976?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9215,
"need_tools_kwargs": true,
"question": "给定正整数 \\(n\\)。将 \\(n^3\\) 个 \\(3\\times3\\times3\\) 的立方体的中心单位立方体染成黑色，其余 26 个单位立方体染成白色。将这 \\(n^3\\) 个 \\(3\\times3\\times3\\) 的立方体拼成一个 \\(3n\\times3n\\times3n\\) 的立方体。求最小的正整数 \\(k\\)，使得可以将 \\(k\\) 个白色的单位立方体染成红色，满足余下的每个白色的单位立方体都和某个红色的单位立方体有公共的顶点。答案的形式为 \\((a+... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Bucharest",
"style": "rule"
} | {
"index": 9216,
"need_tools_kwargs": true,
"question": "Where was the place of death of Toma Barbu Socolescu's father?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(3,4)",
"style": "rule"
} | {
"index": 9217,
"need_tools_kwargs": true,
"question": "Let $f(x)=\\sin x+2\\cos x+3\\tan x$ , using radian measure for the variable $x$ . In what interval does the smallest positive value of $x$ for which $f(x)=0$ lie? $\\textbf{(A) } (0,1) \\qquad \\textbf{(B) } (1,2) \\qquad \\textbf{(C) } (2,3) \\qquad... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9218,
"need_tools_kwargs": true,
"question": "The three rectangles shown below all have the same area.\n\nWhat is 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... | math | {
"ground_truth": "0",
"style": "rule"
} | {
"index": 9219,
"need_tools_kwargs": true,
"question": "Given that a conic section is tangent to the line \\( x - 2y + 3 = 0 \\) at the point \\( P(-1,1) \\), is tangent to the line \\( 5x + 2y - 6 = 0 \\) at the point \\( Q(2,-2) \\), and passes through the point \\( R(1,0) \\), find the equation of this conic ... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1005",
"style": "rule"
} | {
"index": 9220,
"need_tools_kwargs": true,
"question": "Consider the function \\( f(x) = \\frac{x^5}{5x^4 - 10x^3 + 10x^2 - 5x + 1} \\). Calculate the sum \\( \\sum_{i=1}^{2009} f\\left( \\frac{i}{2009} \\right) \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "a_n= \\frac{1}{n}",
"style": "rule"
} | {
"index": 9221,
"need_tools_kwargs": true,
"question": "In the sequence $\\left\\{ a_n \\right\\}$, $a_1=1$, $a_{n+1}=\\frac{a_n}{1+a_n}$ $(n=1,2,3,\\ldots)$, then the general formula for this sequence can be summarized as ______.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9222,
"need_tools_kwargs": true,
"question": "Are The Spoils Before Dying and The Spoilers (1930 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": "Swiss",
"style": "rule"
} | {
"index": 9223,
"need_tools_kwargs": true,
"question": "Which country the director of film Sleepless In New York is from?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "hanged",
"style": "rule"
} | {
"index": 9224,
"need_tools_kwargs": true,
"question": "What is the cause of death of Elizabeth Thorndike'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... | math | {
"ground_truth": "0",
"style": "rule"
} | {
"index": 9225,
"need_tools_kwargs": true,
"question": "By how many zeros can the number \\(1^{n} + 2^{n} + 3^{n} + 4^{n}\\) 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": "April 22, 1868",
"style": "rule"
} | {
"index": 9226,
"need_tools_kwargs": true,
"question": "When is the director of film Buried Treasure (1921 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": "no",
"style": "rule"
} | {
"index": 9227,
"need_tools_kwargs": true,
"question": "Did the movies Chuk And Gek (Film) and The Sergeant'S Daughter, 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": "(0,2)",
"style": "rule"
} | {
"index": 9228,
"need_tools_kwargs": true,
"question": "The coordinates of the lowest point on the graph of the function $y=\\frac{x^{2}+2x+2}{x+1}$ ($x > -1$) are $\\boxed{(\\quad\\quad)}$.\nA: $(0,2)$\nB: Does not exist\nC: $(1,2)$\nD: $(1,-2)$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-15",
"style": "rule"
} | {
"index": 9229,
"need_tools_kwargs": true,
"question": "Given $y=\\sqrt{2x-5}+\\sqrt{5-2x}-3$, then the value of $2xy$ is ( )\n\nA: $-15$\n\nB: $15$\n\nC: $-\\frac{15}{2}$\n\nD: $\\frac{15}{2}$",
"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": "Ashley January",
"style": "rule"
} | {
"index": 9230,
"need_tools_kwargs": true,
"question": "Who was awarded the Emerging Artist Award from the Women's Caucus for Art in New York in 2022?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Rome",
"style": "rule"
} | {
"index": 9231,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film The Betrothed (1923 Film)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 9232,
"need_tools_kwargs": true,
"question": "Are both directors of films Balls Out: Gary The Tennis Coach and Public Pigeon No. 1 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": "ACD",
"style": "rule"
} | {
"index": 9233,
"need_tools_kwargs": true,
"question": "Given $\\theta \\in \\left(0,2\\pi \\right)$, and a point $(\\sin 2,\\cos 2)$ lies on the terminal side of angle $\\theta$, then which of the following is true?\n\nA: $θ=\\frac{5π}{2}-2$\n\nB: $\\tan \\theta =\\tan 2$\n\nC: $cosθ+cos(θ+\\frac{2π}{3})+cos(θ+... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9234,
"need_tools_kwargs": true,
"question": "Are both rivers, Kalamazoo River and Sabine River (Texas–Louisiana), 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": "December 25, 2017",
"style": "rule"
} | {
"index": 9235,
"need_tools_kwargs": true,
"question": "When is the film released in the United States, that is directed by a famous Australian film director and features Hugh Jackman in a leading role?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Staatliches Bauhaus",
"style": "rule"
} | {
"index": 9236,
"need_tools_kwargs": true,
"question": "Olivia Kapoor often cites the work of an expressionist painter associated with what school?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "19",
"style": "rule"
} | {
"index": 9237,
"need_tools_kwargs": true,
"question": "Let $ABCD$ be a square with vertices $A=(0,0)$ and $B=(1,1)$. A point $P\\left(\\frac{2}{7},\\frac{1}{4}\\right)$ is located inside the square. An ant begins its journey from point $P$, touches three sides of the square, and returns to point $P$. The shorte... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Two O'Clock Courage",
"style": "rule"
} | {
"index": 9238,
"need_tools_kwargs": true,
"question": "Which film whose director was born first, Diary of King Yeonsan (film) or Two O'Clock Courage?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9239,
"need_tools_kwargs": true,
"question": "Did the movies Torkaman (Film) and Shameless (2008 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": "10999999999",
"style": "rule"
} | {
"index": 9240,
"need_tools_kwargs": true,
"question": "Define the binary operation $a \\Delta b = ab + a - 1$. Compute the following expression:\n\\[\n10 \\Delta (10 \\Delta (10 \\Delta (10 \\Delta (10 \\Delta (10 \\Delta (10 \\Delta (10 \\Delta (10 \\Delta 10))))))))\n\\]\nwhere $10$ is written $10$ times.",
... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9241,
"need_tools_kwargs": true,
"question": "Let \\( S \\) be the set of all rational numbers in \\(\\left(0, \\frac{5}{8}\\right)\\). For each reduced fraction \\(\\frac{q}{p} \\in S\\) where \\(\\gcd(p, q) = 1\\), define the function \\( f(q p) = \\frac{q+1}{p} \\). Determine the number of solutions... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9242,
"need_tools_kwargs": true,
"question": "Transform the equation of the hyperbola \\( y = \\frac{1 - 3x}{2x - 1} \\) to the form \\( XY = m \\) using a parallel translation of the coordinate axes. Plot the hyperbola.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Mandela And De Klerk",
"style": "rule"
} | {
"index": 9243,
"need_tools_kwargs": true,
"question": "Which film has the director died later, Mandela And De Klerk or Sangam (1964 Urdu Film)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "18 July 1993",
"style": "rule"
} | {
"index": 9244,
"need_tools_kwargs": true,
"question": "When did the director of film The Mask Of Dimitrios 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": "Three Secrets",
"style": "rule"
} | {
"index": 9245,
"need_tools_kwargs": true,
"question": "Which film came out first, The Veterinarian's Adopted Children or Three Secrets?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9246,
"need_tools_kwargs": true,
"question": "In the sequence \\(1^{2}, 2^{2}, 3^{2}, \\cdots, 2005^{2}\\), add a \"+\" or \"-\" sign before each number to make the algebraic sum the smallest non-negative number. Write the resulting expression.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(-\\frac{\\sqrt{5}}{5}, \\frac{2\\sqrt{5}}{5})",
"style": "rule"
} | {
"index": 9247,
"need_tools_kwargs": true,
"question": "Given that the plane vector $\\overrightarrow{AB}=(-1,2)$, then the unit vector in the same direction as $\\overrightarrow{AB}$ is:\n\nA: $(\\frac{\\sqrt{5}}{5}, -\\frac{2\\sqrt{5}}{5})$\n\nB: $(\\frac{2\\sqrt{5}}{5}, -\\frac{\\sqrt{5}}{5})$\n\nC: $(-\\frac... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\sec(72^\\circ)",
"style": "rule"
} | {
"index": 9248,
"need_tools_kwargs": true,
"question": "Let $ABCDE$ be an equilateral pentagon (each side equal, not necessarily equiangular) that has a perimeter $p$. Each side of the pentagon is extended to meet the next non-adjacent side's extension forming a diagram. If each intersection point forms a vertex... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "90, 180, 1740",
"style": "rule"
} | {
"index": 9249,
"need_tools_kwargs": true,
"question": "The sum of three positive integers is 2010, and the sum of their reciprocals is $\\frac{1}{58}$. What are these numbers?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "238",
"style": "rule"
} | {
"index": 9250,
"need_tools_kwargs": true,
"question": "A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year, 10% of his trees cross-pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals some number, while 3/4 of all his trees a... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9251,
"need_tools_kwargs": true,
"question": "The real root of the equation $\\sin x = \\lg x$ is:\n(A) 1 ;\n(B) 2 ;\n(C) 3 ;\n(D) Greater than 3 .",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "9 January 1942",
"style": "rule"
} | {
"index": 9252,
"need_tools_kwargs": true,
"question": "When did the director of film Scandal On Park Street 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": "AD",
"style": "rule"
} | {
"index": 9253,
"need_tools_kwargs": true,
"question": "When the unit price of a certain product is $50$ yuan, $300$ units of this product can be sold per month. If the unit price is reduced by $x$ yuan, the monthly sales volume will increase by $10x$ units. To ensure that the monthly sales revenue of this produ... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Wappinger-Wangunk-Quinnipiac",
"style": "rule"
} | {
"index": 9254,
"need_tools_kwargs": true,
"question": "The Metoac was part of the indigenous people of the Northeastern Woodlands and which other cultural 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": "110",
"style": "rule"
} | {
"index": 9255,
"need_tools_kwargs": true,
"question": "Three marbles are moving counterclockwise on a circular track at the same time. It is known that Marble A catches up with Marble B at the 10th second, catches up with Marble C at the 30th second, catches up again with Marble B at the 60th second, and catche... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9256,
"need_tools_kwargs": true,
"question": "Do director of film The Man Who Loves and director of film Love (1919 German Film) share the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "February 6, 1897March",
"style": "rule"
} | {
"index": 9257,
"need_tools_kwargs": true,
"question": "When was the mob leader that was succeeded by Albert Anastasia 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": "\\$40,000",
"style": "rule"
} | {
"index": 9258,
"need_tools_kwargs": true,
"question": "James buys 100 head of cattle for a certain amount. It cost 20% more than that to feed them. They each weigh 1000 pounds and sell for $2 per pound. He made a profit of $112,000. How much did he spend to buy the cattle?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9259,
"need_tools_kwargs": true,
"question": "Given $A=\\{x|x^{3}+3x^{2}+2x > 0\\}$, $B=\\{x|x^{2}+ax+b\\leqslant 0\\}$ and $A\\cap B=\\{x|0 < x\\leqslant 2\\}$, $A\\cup B=\\{x|x > -2\\}$, then $a+b=$ ______.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 9260,
"need_tools_kwargs": true,
"question": "Do Russell Hendry and Ramesh Thilak share the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "203",
"style": "rule"
} | {
"index": 9261,
"need_tools_kwargs": true,
"question": "Farmer James has some strange animals. His hens have 2 heads and 8 legs, his peacocks have 3 heads and 9 legs, and his zombie hens have 6 heads and 12 legs. Farmer James counts 800 heads and 2018 legs on his farm. What is the number of animals that Farmer J... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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, 1984",
"style": "rule"
} | {
"index": 9262,
"need_tools_kwargs": true,
"question": "When did the director of film Wonder Man (Film) die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1943",
"style": "rule"
} | {
"index": 9263,
"need_tools_kwargs": true,
"question": "In what year did the composer of Piano Sonata No. 1 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": "506",
"style": "rule"
} | {
"index": 9264,
"need_tools_kwargs": true,
"question": "设 A 为数集 \\{1,2,3,\\cdots,2024\\} 的 n 元子集，且 A 中的任意两个数既不互素又不存在整除关系. 求 n 的最大值.",
"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": "Spike Lee",
"style": "rule"
} | {
"index": 9265,
"need_tools_kwargs": true,
"question": "Who was the director of the 1998 film that is a live performance of the actor who voiced Sid the Sloth in the animated \"Ice Age\" films?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2101",
"style": "rule"
} | {
"index": 9266,
"need_tools_kwargs": true,
"question": "Given that $a, b$, and $c$ are distinct positive integers such that $a \\cdot b \\cdot c = 2020$, the minimum possible positive value of $\\frac{1}{a}-\\frac{1}{b}-\\frac{1}{c}$, is $\\frac{m}{n}$ , where $m$ and $n$ are relatively prime positive integers.... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2015^2\\div5^2",
"style": "rule"
} | {
"index": 9267,
"need_tools_kwargs": true,
"question": "Determine which of the following expressions is not a multiple of 5: \n1. \\( 2019^{2} - 2014^{2} \\)\n2. \\( 2019^{2} \\times 10^{2} \\)\n3. \\( 2020^{2} \\div 101^{2} \\)\n4. \\( 2010^{2} - 2005^{2} \\)\n5. \\( 2015^{2} \\div 5^{2} \\)\n\nProvide a detail... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "5670",
"style": "rule"
} | {
"index": 9268,
"need_tools_kwargs": true,
"question": "Three households, A, B, and C, plan to subscribe to newspapers. There are 7 different newspapers available. Each household subscribes to exactly 3 different newspapers, and it is known that each pair of households subscribes to exactly one newspaper in comm... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Georgetown",
"style": "rule"
} | {
"index": 9269,
"need_tools_kwargs": true,
"question": "Where does José María Rico's wife work at?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "138",
"style": "rule"
} | {
"index": 9270,
"need_tools_kwargs": true,
"question": "The number $n$ is a three-digit positive integer and is the product of the three distinct prime factors $x$, $y$, and $10x+y$, where $x$ and $y$ are each less than 10. $x$ is an even prime and $y$ is an odd prime. What is the smallest possible value of $n$?... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "47",
"style": "rule"
} | {
"index": 9271,
"need_tools_kwargs": true,
"question": "I am playing a modified walking game. On move 1, I do nothing, but on move $n$ where $2 \\le n \\le 30$, I take one step forward if $n$ is prime and three steps backwards if the number is composite. After all 30 moves, I stop and walk back to my original st... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9272,
"need_tools_kwargs": true,
"question": "Determine the value of $\\cos 76^{\\circ}\\cos 16^{\\circ}+\\cos 14^{\\circ}\\cos 74^{\\circ}-2\\cos 75^{\\circ}\\cos 15^{\\circ}$. The value is equal to ($\\ \\ \\ $).\nA: $0$\nB: $\\frac{\\sqrt{3}}{2}$\nC: $1$\nD: $-\\frac{1}{2}$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Kalle Mäkinen",
"style": "rule"
} | {
"index": 9273,
"need_tools_kwargs": true,
"question": "Who was nicknamed Sergio, because his style was similar to someone who captains Real Madrid and the Spain national team?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "May 15, 1940",
"style": "rule"
} | {
"index": 9274,
"need_tools_kwargs": true,
"question": "What is the birthdate of this American television executive and media consultant, who was a media consultant and for whom Gabriel Sherman wrote a biography?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "National Football League (NFL)",
"style": "rule"
} | {
"index": 9275,
"need_tools_kwargs": true,
"question": "The 1995 Wake Forest Demon Deacons football team was an American football team that represented Wake Forest University during the 1995 NCAA Division I-A football season, in their third season under American head coach Jim Caldwell, who serves in which club,... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Doug TenNapel",
"style": "rule"
} | {
"index": 9276,
"need_tools_kwargs": true,
"question": "Who was the creator of the show where Wayne Knight played Mr. Blik?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9277,
"need_tools_kwargs": true,
"question": "A month with $31$ days has the same number of Mondays and Wednesdays. How many of the seven days of the week could be the first day of this month?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9278,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Hellcats Of The Navy?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "250,000",
"style": "rule"
} | {
"index": 9279,
"need_tools_kwargs": true,
"question": "The Combs–Hehl Bridge is a twin span single pier cantilever bridge carrying an intersate loop that encloses and area of over how many acres? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "238",
"style": "rule"
} | {
"index": 9280,
"need_tools_kwargs": true,
"question": "At Mallard High School there are three intermural sports leagues: football, basketball, and baseball. There are 427 students participating in these sports: 128 play on football teams, 291 play on basketball teams, and 318 play on baseball teams. If exactl... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "(-\\infty, -2] \\cup (3, \\infty)",
"style": "rule"
} | {
"index": 9281,
"need_tools_kwargs": true,
"question": "Find all solutions to the inequality \\[\\frac{x^2+1}{(x-3)(x+2)} \\ge 0.\\] (Give your answer in interval notation.)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9282,
"need_tools_kwargs": true,
"question": "Do Nicholas Laroche and Paulina Chiziane 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": "(x, y, z) = \\left(4, 3, 2\\right)",
"style": "rule"
} | {
"index": 9283,
"need_tools_kwargs": true,
"question": "Solve the following system of equations:\n\n$$\n\\begin{aligned}\n& \\frac{6}{3x + 4y} + \\frac{4}{5x - 4z} = \\frac{7}{12} \\\\\n& \\frac{9}{4y + 3z} - \\frac{4}{3x + 4y} = \\frac{1}{3} \\\\\n& \\frac{2}{5x - 4z} + \\frac{6}{4y + 3z} = \\frac{1}{2}\n\\end{... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{ab}{1011c^2}",
"style": "rule"
} | {
"index": 9284,
"need_tools_kwargs": true,
"question": "Let $a$, $b$, $c$ be the three sides of a triangle, and let $\\alpha$, $\\beta$, $\\gamma$ be the angles opposite them respectively. If $a^2+b^2=2023c^2$, find the value of\n\\[\\frac{\\tan \\gamma}{\\tan \\alpha + \\tan \\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... | qa | {
"ground_truth": "Grand Duchess",
"style": "rule"
} | {
"index": 9285,
"need_tools_kwargs": true,
"question": "What title did the mother of Archduke Charles, Duke of Teschen hold in Tuscany?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9286,
"need_tools_kwargs": true,
"question": "Find the least prime factor of the number \\( \\frac{2016^{2016}-3}{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": "0.6",
"style": "rule"
} | {
"index": 9287,
"need_tools_kwargs": true,
"question": "If \\(\\sin \\theta + \\cos \\theta = \\frac{7}{5}\\), and \\(\\tan \\theta < 1\\), find \\(\\sin \\theta\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "jet",
"style": "rule"
} | {
"index": 9288,
"need_tools_kwargs": true,
"question": "What types of aeronautical machines are described above?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "55",
"style": "rule"
} | {
"index": 9289,
"need_tools_kwargs": true,
"question": "Find the number of pairs of integers $(x, y)$ such that $x^2 + 2y^2 < 25$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9290,
"need_tools_kwargs": true,
"question": "Let $ABC$ be a triangle such that $AB = 7$, and let the angle bisector of $\\angle BAC$ intersect line $BC$ at $D$. If there exist points $E$ and $F$ on sides $AC$ and $BC$, respectively, such that lines $AD$ and $EF$ are parallel and divide triangle $ABC$ ... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Holbrook",
"style": "rule"
} | {
"index": 9291,
"need_tools_kwargs": true,
"question": "What hamlet borders the east side of Long Island MacArthur Airport and is represented by Ginny Fields in the New York State Assembly?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "7430",
"style": "rule"
} | {
"index": 9292,
"need_tools_kwargs": true,
"question": "Postman Pete uses two pedometers during his route. The first pedometer flips from 99999 to 00000 and flipped 50 times this year, showing a reading of 25000 on December 31. The second pedometer counts only every fourth step and flipped 15 times, displaying 3... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Percival Christopher Wren",
"style": "rule"
} | {
"index": 9293,
"need_tools_kwargs": true,
"question": "Which of the following is remembered best for Beau Geste: P. C. Wren or James Emanuel?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 defense of women's rights",
"style": "rule"
} | {
"index": 9294,
"need_tools_kwargs": true,
"question": "The author of the memoir Nomad: From Islam to America: A Personal Journey Through the Clash of Civilizations founded an organisation for 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": "684",
"style": "rule"
} | {
"index": 9295,
"need_tools_kwargs": true,
"question": "(In the preliminaries of optimal method and experimental design) When using the 0.618 method to find the optimal amount to add in an experiment, if the current range of excellence is $[628, 774]$ and the good point is 718, then the value of the addition poi... | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "India",
"style": "rule"
} | {
"index": 9296,
"need_tools_kwargs": true,
"question": "Which country the director of film Super Ranga is from?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "f(0) = 0",
"style": "rule"
} | {
"index": 9297,
"need_tools_kwargs": true,
"question": "Let $f : \\mathbb{R} \\to \\mathbb{R}$ be a function such that\n\\[ f(f(x) + y) = f(x^2 + y) + 4f(x)y \\]\nfor all real numbers $x$ and $y.$ Further, suppose it is known that $f(2) = 4$. Determine all possible values of $f(0)$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "May 9, 2010",
"style": "rule"
} | {
"index": 9298,
"need_tools_kwargs": true,
"question": "What is the date of death of the performer of song Something To Live For (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": "\\dfrac{21}{10}",
"style": "rule"
} | {
"index": 9299,
"need_tools_kwargs": true,
"question": "Given $\\tan \\alpha = 3$, evaluate the expression $2\\sin ^{2}\\alpha + 4\\sin \\alpha \\cos \\alpha - 9\\cos ^{2}\\alpha$.",
"split": "train"
} | null |
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