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": "9",
"style": "rule"
} | {
"index": 4700,
"need_tools_kwargs": true,
"question": "Given a geometric sequence with positive terms $\\{a_n\\}$, the sum of the first $n$ terms is $S_n$. If $S_3=3$ and $S_9-S_6=12$, then $S_6=$ ______.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "40",
"style": "rule"
} | {
"index": 4701,
"need_tools_kwargs": true,
"question": "Let $[x]$ denote the greatest integer not exceeding the real number $x$. If\n\\[ A = \\left[\\frac{7}{8}\\right] + \\left[\\frac{7^2}{8}\\right] + \\cdots + \\left[\\frac{7^{2019}}{8}\\right] + \\left[\\frac{7^{2020}}{8}\\right], \\]\nwhat is the remainder when $A$ is divided by 50?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "July 10, 1972",
"style": "rule"
} | {
"index": 4702,
"need_tools_kwargs": true,
"question": "When did the director of film The Pride Of St. Louis 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": "3",
"style": "rule"
} | {
"index": 4703,
"need_tools_kwargs": true,
"question": "For \\(n > 1\\), let \\(a_n\\) be the number of zeroes that \\(n!\\) ends with when written in base \\(n\\). Find the maximum value of \\(\\frac{a_n}{n}\\). The original answer is in \\(\\frac{k}{m}\\) format, where the fraction is in its simplest form. Please give the value of \\(k + m\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1792",
"style": "rule"
} | {
"index": 4704,
"need_tools_kwargs": true,
"question": "In the expansion of \\((x+y+z)^{8}\\), what is the sum of the coefficients for all terms of the form \\(x^{2} y^{a} z^{b}\\) (where \\(a, b \\in \\mathbf{N})\\)?\n(A) 112\n(B) 448\n(C) 1792\n(D) 14336",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "48",
"style": "rule"
} | {
"index": 4705,
"need_tools_kwargs": true,
"question": "If five pairwise coprime distinct integers \\( a_{1}, a_{2}, \\cdots, a_{5} \\) are randomly selected from \\( 1, 2, \\cdots, n \\) and there is always at least one prime number among them, find the maximum value of \\( n \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Verona",
"style": "rule"
} | {
"index": 4706,
"need_tools_kwargs": true,
"question": "What is the same of the city that is the second largest city municipality in Italy and appeared in The 2010 Giro d'Italia?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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(z) = z^2 + 3iz",
"style": "rule"
} | {
"index": 4707,
"need_tools_kwargs": true,
"question": "Find the analytic function \\( w = f(z) \\) given its imaginary part \\( v(x, y) = 3x + 2xy \\) under the condition that \\( f(-i) = 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": "\\$3.04",
"style": "rule"
} | {
"index": 4708,
"need_tools_kwargs": true,
"question": "You can buy 8 apples, 3 watermelons, 5 pineapples, or 10 strawberries for the same price. You bought 200 fruits, including oranges, apples, watermelons, pineapples, strawberries and bananas, with the following distribution: 40 oranges, 35 apples, 25 watermelons, 35 pineapples, 50 strawberries and 15 bananas. If the price of 1 orange is $0.75, the price of 1 banana is half the price of 1 apple, and the price of 1 pineapple is 1.5 times the price of 1 watermelon, how much does 1 apple cost if your total bill was $395?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4709,
"need_tools_kwargs": true,
"question": "Let \\( A = a_{1} a_{2} \\cdots a_{20} \\) be a 20-digit binary number composed of 10 zeros and 10 ones. Let \\( B = b_{1} b_{2} \\cdots b_{20} \\) be any 20-digit binary number. Now, place \\( A \\) and \\( B \\) into two separate sequences of 20 slots, respectively denoted as (A) and (B), resulting in two corresponding images. Additionally, create a new 40-digit binary number \\( C \\) by concatenating two instances of \\( B \\) as follows: \\( C = \\underbrace{b_{1} b_{2} \\cdots b_{20}}_{B} \\underbrace{b_{1} b_{2} \\cdots b_{20}}_{B} \\), and consider its visual representation as (C).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "25 September 1621",
"style": "rule"
} | {
"index": 4710,
"need_tools_kwargs": true,
"question": "When did the leader of the Wilton Circle 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": "30",
"style": "rule"
} | {
"index": 4711,
"need_tools_kwargs": true,
"question": "Let $\\mathbf{a} = \\begin{pmatrix} -2 \\\\ 5 \\end{pmatrix}$ and $\\mathbf{b} = \\begin{pmatrix} 1 \\\\ 3 \\end{pmatrix}.$ Find the vector $\\mathbf{c}$ so that $\\mathbf{a},$ $\\mathbf{b},$ and $\\mathbf{c}$ are collinear, and $\\mathbf{b}$ bisects the angle between $\\mathbf{a}$ and $\\mathbf{c}.$ The original answer is in the form \\begin{pmatrix} \\frac{i_{11}}{8} \\\\ \\frac{i_{21}}{4} \\end{pmatrix}, please give the value of i_{11} + i_{21}.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2/3",
"style": "rule"
} | {
"index": 4712,
"need_tools_kwargs": true,
"question": "In a race on the same distance, two cars and a motorcycle participated. The second car took 1 minute longer to cover the entire distance than the first car. The first car moved 4 times faster than the motorcycle. What portion of the distance per minute did the second car cover if it covered $\\frac{1}{6}$ of the distance more per minute than the motorcycle, and the motorcycle covered the distance in less than 10 minutes?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4713,
"need_tools_kwargs": true,
"question": "Find the number of triples of real numbers \\((a, b, c)\\) such that \\(a^{20} + b^{20} + c^{20} = a^{24} + b^{24} + c^{24} = 1\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "60",
"style": "rule"
} | {
"index": 4714,
"need_tools_kwargs": true,
"question": "A stack of logs has 15 logs on the bottom row, and each successive row has two fewer logs, ending with five special logs at the top. How many total logs are in the stack, and how many are the special logs?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "British",
"style": "rule"
} | {
"index": 4715,
"need_tools_kwargs": true,
"question": "Which country Laura Lopes's mother is from?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"index": 4716,
"need_tools_kwargs": true,
"question": "In the arithmetic sequence $\\{a\\_n\\}$, $S=10$, $S\\_9=45$, find the value of $a\\_{10}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "In 1901-04 he was military secretary to Gov. John",
"style": "rule"
} | {
"index": 4717,
"need_tools_kwargs": true,
"question": "What is the relationship between Holman Francis Day and John F. Hill?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "40",
"style": "rule"
} | {
"index": 4718,
"need_tools_kwargs": true,
"question": "A pedestrian traffic light allows pedestrians to cross the street for one minute and prohibits crossing for two minutes. Find the average waiting time for a pedestrian who approaches the intersection.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Vince Vaughn and Paul Giamatti",
"style": "rule"
} | {
"index": 4719,
"need_tools_kwargs": true,
"question": "Ice Cream Man was created by the director of the 2007 fantasy comedy film starring which two actors?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4720,
"need_tools_kwargs": true,
"question": "Five coplanar circles are arranged such that two pairs of them intersect, defining a common triangular region. What is the maximum number of points on the circles that a line passing through this triangular region can touch?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "93^\\circ",
"style": "rule"
} | {
"index": 4721,
"need_tools_kwargs": true,
"question": "Find the number of degrees in the measure of angle $y$.\n\n[asy]\nimport markers;\nsize (5cm,5cm);\npair A,B,C,D,E,F;\n\nA=(0,0);\nB=(5,0);\nC=(9,0);\nD=(3.8,7);\nE=(2.3,7.2);\nF=(5.3,7.2);\n\ndraw((4.2,6.1){up}..{right}(5.3,7.2));\ndraw((3.6,6.1){up}..{left}(2.3,7.2));\n\ndraw (A--B--C--D--A);\ndraw (B--D);\ndraw (A--D);\n\nmarkangle(n=1,radius=8,C,B,D,marker(stickframe(n=0),true));\n\nlabel (\"$y^\\circ$\", shift(1.3,0.65)*A);\nlabel (\"$122^\\circ$\", shift(1.2,1)*B);\nlabel (\"$29^\\circ$\", E,W);\nlabel (\"$27^\\circ$\", F,E);\n\n[/asy]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "109",
"style": "rule"
} | {
"index": 4722,
"need_tools_kwargs": true,
"question": "You have a certain number of gold coins and some empty treasure chests. When you attempted to place 12 gold coins in each treasure chest, you found that 4 treasure chests were left empty. Later, you decided to put 8 gold coins in each treasure chest, but this time you ended up with 5 gold coins left over. Determine how many gold coins you originally had.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "51",
"style": "rule"
} | {
"index": 4723,
"need_tools_kwargs": true,
"question": "Let $P(A)$ be the arithmetic mean of all elements of the set $A = \\{ a_1, a_2, \\ldots, a_n \\}$, defined as $P(A) = \\frac{1}{n} \\sum^{n}_{i=1} a_i$. A subset $B$ of $A$ is called a \"balanced subset\" if $B$ is non-empty and $P(B) = P(A)$. Given the set $M = \\{ 1, 2, 3, 4, 5, 6, 7, 8, 9 \\}$, find the number of all \"balanced subsets\" of $M$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "37.5",
"style": "rule"
} | {
"index": 4724,
"need_tools_kwargs": true,
"question": "John is 15 years younger than his dad. The sum of their ages is 100 years. John has a sister who is 5 years younger than him. How many years old is John's sister?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "73.47\\%",
"style": "rule"
} | {
"index": 4725,
"need_tools_kwargs": true,
"question": "What percentage of a seven-by-seven grid is shaded?\nIn a seven-by-seven grid, alternate squares are shaded starting with the top left square similar to a checkered pattern. However, an entire row (the fourth row from the top) and an entire column (the fourth column from the left) are left completely unshaded.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"index": 4726,
"need_tools_kwargs": true,
"question": "Place the numbers $1,2,\\cdots,n$ on a circle such that the absolute difference between any two adjacent numbers is either 3, 4, or 5. Find the smallest $n$ that satisfies these conditions.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4727,
"need_tools_kwargs": true,
"question": "Sabrina has a fair tetrahedral die with faces numbered 1, 2, 3, and 4. She rolls the die to create a sequence by recording the number on its bottom face. However, she discards any roll if appending its number to the sequence results in two consecutive terms that sum to 5. Sabrina stops once all four numbers appear in the sequence. Find the expected (average) number of terms in Sabrina's sequence.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Sofian El Fani",
"style": "rule"
} | {
"index": 4728,
"need_tools_kwargs": true,
"question": "Who helped produce graphics for Timbuktu and a movie spawned from a French graphic novvil?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 4729,
"need_tools_kwargs": true,
"question": "Are both Chahar Bot and Mehranjan-E Arameneh 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": "3 + \\sqrt{2}",
"style": "rule"
} | {
"index": 4730,
"need_tools_kwargs": true,
"question": "Given points $A(-2, 0)$ and $B(0, 2)$, $k$ is a constant, and $M$, $N$ are two distinct points on the circle ${x^2} + {y^2} + kx = 0$. $P$ is a moving point on the circle ${x^2} + {y^2} + kx = 0$. If $M$ and $N$ are symmetric about the line $x - y - 1 = 0$, find the maximum area of $\\triangle PAB$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4731,
"need_tools_kwargs": true,
"question": "给定正整数 \\( n \\)。设 \\( A_1,A_2,\\cdots,A_{2^n} \\) 是集合 \\(\\{1,2,\\cdots,n\\}\\) 的所有子集的一个排列，求 \\(\\sum_{i=1}^{2^n}|A_i\\cap A_{i+1}|\\cdot|A_i\\cup A_{i+1}|\\) 的最大值，其中 \\( A_{2^n+1}=A_1 \\)。原始答案是关于 \\( n \\) 的表达式 \\((an^2+bn+c)2^{n-d}\\)，请给出 \\( a + b + c + d \\) 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": "10",
"style": "rule"
} | {
"index": 4732,
"need_tools_kwargs": true,
"question": "Let $a,$ $b,$ $c$ be positive real numbers. Find the smallest possible value of\n\\[4a^4 + 8b^4 + 16c^4 + \\frac{1}{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... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 4733,
"need_tools_kwargs": true,
"question": "Are director of film The Thirteenth Juror and director of film Babbitt (1934 Film) from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\cos a_3 = \\frac{1}{2}",
"style": "rule"
} | {
"index": 4734,
"need_tools_kwargs": true,
"question": "In the arithmetic sequence $\\{a_n\\}$, if $a_1 + a_3 + a_5 = \\pi$, then the value of $\\cos a_3 = \\quad ?$\n(A) $\\frac {\\sqrt {3}}{2}$\n(B) $\\frac {1}{2}$\n(C) $-\\frac {1}{2}$\n(D) $\\frac {\\sqrt {2}}{2}$",
"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": "\\dfrac{4}{5}",
"style": "rule"
} | {
"index": 4735,
"need_tools_kwargs": true,
"question": "Given $π < α < 2π$, $\\cos (α-9π)=- \\dfrac {3}{5}$, find the value of $\\cos (α- \\dfrac {11π}{2})$.",
"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": "26 June 1904",
"style": "rule"
} | {
"index": 4736,
"need_tools_kwargs": true,
"question": "When was the inspiration for the album \"Addicted to Bad Ideas\" 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": "6",
"style": "rule"
} | {
"index": 4737,
"need_tools_kwargs": true,
"question": "求最小的正整数 M，使得存在正整数 n 和整系数多项式 P_1(x), P_2(x), \\cdots, P_n(x)，满足Mx=P_1(x)^3+P_2(x)^3+\\cdots+P_n(x)^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": "no",
"style": "rule"
} | {
"index": 4738,
"need_tools_kwargs": true,
"question": "Do both directors of films Jhoola (1962 Film) and Face Of A Fugitive 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": "Nickelodeon Junior",
"style": "rule"
} | {
"index": 4739,
"need_tools_kwargs": true,
"question": "Nickelodeon has which sister network, airing as a pan-European digital channel?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "42,074",
"style": "rule"
} | {
"index": 4740,
"need_tools_kwargs": true,
"question": "The county in Kentucky containing Peytona had how many people in its population in the 2010 census?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Worthing",
"style": "rule"
} | {
"index": 4741,
"need_tools_kwargs": true,
"question": "Where did the director of film Face In The Night 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": 4742,
"need_tools_kwargs": true,
"question": "Which country the director of film Daddy'S Gone A-Hunting 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": "Loretta Devine",
"style": "rule"
} | {
"index": 4743,
"need_tools_kwargs": true,
"question": "State of Georgia starred which actress who also had a role on Boston Public?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1857",
"style": "rule"
} | {
"index": 4744,
"need_tools_kwargs": true,
"question": "When is the director of film Polly Ann 's birthday?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0",
"style": "rule"
} | {
"index": 4745,
"need_tools_kwargs": true,
"question": "Let \\(\\omega = \\cos \\frac{\\pi}{5} + \\mathrm{i} \\sin \\frac{\\pi}{5}\\). Determine the polynomial equation that has roots \\(\\omega\\), \\(\\omega^{3}\\), \\(\\omega^{7}\\), and \\(\\omega^{9}\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "56",
"style": "rule"
} | {
"index": 4746,
"need_tools_kwargs": true,
"question": "Evaluate the expression:\n\\[\n \\frac{196 \\left( \\frac{1}{19} - \\frac{1}{23} \\right) \n + 361 \\left( \\frac{1}{23} - \\frac{1}{17} \\right) + 529 \\left( \\frac{1}{17} - \\frac{1}{19} \\right)}{\n 14 \\left( \\frac{1}{19} - \\frac{1}{23} \\right) \n + 19 \\left( \\frac{1}{23} - \\frac{1}{17} \\right) + 23 \\left( \\frac{1}{17} - \\frac{1}{19} \\right)} \\, .\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": "Bert Newton",
"style": "rule"
} | {
"index": 4747,
"need_tools_kwargs": true,
"question": "Who is the father of the director of film Three Blind Mice (2008 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": "4",
"style": "rule"
} | {
"index": 4748,
"need_tools_kwargs": true,
"question": "Let n be a positive integer. What is the largest k for which there exist $n×n$ matrices $M_1 ,…,M_k$ and $N_1 ,…,N_k$ with real entries such that for all i and j, the matrix product $M_iN_j$ has a zero entry somewhere on its diagonal if and only if $i\\neq j$? Please provide the answer in the format of n^n when n=2.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "American",
"style": "rule"
} | {
"index": 4749,
"need_tools_kwargs": true,
"question": "Which country the performer of song I'Ve Found A New Baby 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": "Parkinson's disease",
"style": "rule"
} | {
"index": 4750,
"need_tools_kwargs": true,
"question": "Why did the director of film The Machine Age 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": "federal financial support",
"style": "rule"
} | {
"index": 4751,
"need_tools_kwargs": true,
"question": "Henry C. McRae served for one season as the head football coach of a college that declines to accept 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": "1",
"style": "rule"
} | {
"index": 4752,
"need_tools_kwargs": true,
"question": "Ilya Muromets encounters a three-headed dragon named Zmey Gorynych and a battle begins. Each minute, Ilya chops off one of the dragon's heads. With a probability of $\\frac{1}{4}$, two new heads grow in place of the chopped-off head; with a probability of $\\frac{1}{3}$, only one new head grows; and with a probability of $\\frac{5}{12}$, no new heads grow. The dragon is considered defeated if it has no heads left. Find the probability that Ilya will eventually defeat the dragon.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Henri Jordan",
"style": "rule"
} | {
"index": 4753,
"need_tools_kwargs": true,
"question": "Who is older, Thomas Armstrong (Oxford University Cricketer) or Henri Jordan?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "\"Phantoms\" (1998)",
"style": "rule"
} | {
"index": 4754,
"need_tools_kwargs": true,
"question": "What move did Liev Schreiber appear in immediately prior to Jakob the Liar?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{15}{8}-2\\ln 2",
"style": "rule"
} | {
"index": 4755,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=x+a\\ln x$, the tangent line at $x=1$ is perpendicular to the line $x+2y=0$. Let $g(x)=f(x)+ \\frac{1}{2}x^{2}-bx$.\n\n(Ⅰ) Find the value of the real number $a$;\n\n(Ⅱ) Let $x_{1},x_{2}(x_{1} < x_{2})$, be the two extreme points of the function $g(x)$. If $b\\geq \\frac{7}{2}$, find the minimum value of $g(x_{1})-g(x_{2})$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"index": 4756,
"need_tools_kwargs": true,
"question": "The numbers $p$ and $q$ are prime and satisfy $$\\frac{p}{p+1}+\\frac{q+1}{q}=\\frac{2 n}{n+2}$$ for some positive integer $n$. Please provide the sum of all possible values of $q-p$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Chinese",
"style": "rule"
} | {
"index": 4757,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Mad Monkey Kung Fu?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "45",
"style": "rule"
} | {
"index": 4758,
"need_tools_kwargs": true,
"question": "In a rectangle that is subdivided into 3 identical squares, each with a side length of 1, calculate the sum of the angles \\(\\alpha^{\\circ} = \\angle ABD + \\angle ACD\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "King Willem-Alexander",
"style": "rule"
} | {
"index": 4759,
"need_tools_kwargs": true,
"question": " Who Jorge Zorreguieta's daughter marry?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Naples",
"style": "rule"
} | {
"index": 4760,
"need_tools_kwargs": true,
"question": "Where was the place of death of the performer of song Winter Melody?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 4761,
"need_tools_kwargs": true,
"question": "Do both films, War Of The Buttons (1994 Film) and The Absentee (1915 Film), have the directors who are 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": "American",
"style": "rule"
} | {
"index": 4762,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Shadows (1922 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": "\\sqrt{a \\cdot b}",
"style": "rule"
} | {
"index": 4763,
"need_tools_kwargs": true,
"question": "A line parallel to the bases of a trapezoid divides it into two similar trapezoids. Find the segment of this line that is contained within the trapezoid if the bases are equal to $a$ and $b$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 4764,
"need_tools_kwargs": true,
"question": "Are both directors of films Vennela and An Ordinary Man 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": "5249 ft",
"style": "rule"
} | {
"index": 4765,
"need_tools_kwargs": true,
"question": "How tall is the mountain in the northern Franconia Range that flanks along the southwest of Garfield Ridge in the White Mountains?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Sebastian Kolowa",
"style": "rule"
} | {
"index": 4766,
"need_tools_kwargs": true,
"question": "Who succeeded Stefano Moshi as presiding bishop of the Evangelical Lutheran Church in Tanzania?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"index": 4767,
"need_tools_kwargs": true,
"question": "The set of vertices of a polygon consists of points with coordinates $(x, y)$ where $x$ and $y$ are positive integers, and also satisfy $x \\mid 2y + 1$ and $y \\mid 2x + 1$. What is the maximum possible area of the polygon?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "39623",
"style": "rule"
} | {
"index": 4768,
"need_tools_kwargs": true,
"question": "In a particular state, the income tax is charged at \\( q\\% \\) of the first \\$35,000 of an individual's annual income and \\( (q + 3)\\% \\) on any amount above \\$35,000. Alex found that his state income tax amounted to \\( (q + 0.35)\\% \\) of his annual income. Determine Alex's annual income.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4769,
"need_tools_kwargs": true,
"question": "Compose the equation of an equilateral hyperbola with foci on the $x$-axis that passes through the point $M(4, -2)$.",
"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": "Frank Mentzer",
"style": "rule"
} | {
"index": 4770,
"need_tools_kwargs": true,
"question": "Cyborg Commando is a science fiction role-playing game (RPG) published by New Infinities Productions, Inc in 1987 and designed by Kim Mohan, and which American fantasy author and game designer best known for his work on early materials for the \"Dungeons & Dragons\" (D&D) fantasy role-playing 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": "2",
"style": "rule"
} | {
"index": 4771,
"need_tools_kwargs": true,
"question": "Given that the center of the ellipse is at the origin, the foci lie on the coordinate axis, and the line \\( y = x + 1 \\) intersects the ellipse at points \\( P \\) and \\( Q \\). Additionally, \\( OP \\perp OQ \\) and \\( |PQ| = \\frac{\\sqrt{10}}{2} \\). Find the equation of the ellipse.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Champaign, Illinois",
"style": "rule"
} | {
"index": 4772,
"need_tools_kwargs": true,
"question": "Where was the director of film The Squeeze (1987 Film) born?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Rock and Roll Hall of Fame",
"style": "rule"
} | {
"index": 4773,
"need_tools_kwargs": true,
"question": "What is the award that the performer of song Smoke On The Water earned?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1994 European Cup Winners' Cup Final",
"style": "rule"
} | {
"index": 4774,
"need_tools_kwargs": true,
"question": "The 1995 UEFA Cup Winners' Cup Final was a football match on 10 May 1995 contested between cup holders Arsenal of England and Real Zaragoza of Spain, Real Zaragoza won the match 2–1 after extra time, preventing Arsenal from retaining the trophy that they had won in which was a football match on 4 May 1994 contested between Arsenal of England and Parma of Italy?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "26 October 1111",
"style": "rule"
} | {
"index": 4775,
"need_tools_kwargs": true,
"question": "When did Rodrigo Gómez's father die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Dave Navarro",
"style": "rule"
} | {
"index": 4776,
"need_tools_kwargs": true,
"question": "When John Frusciante returned to play guitar for the Red Hot Chili Peppers in 1998, and make the album Californication, who did he replace?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 = -2y",
"style": "rule"
} | {
"index": 4777,
"need_tools_kwargs": true,
"question": "Given \\(\\overrightarrow{AB} = 6 \\vec{i} + \\vec{j}\\), \\(\\overrightarrow{BC} = x \\vec{i} + y \\vec{j}\\), \\(\\overrightarrow{CD} = -2 \\vec{i} - 3 \\vec{j}\\), and \\(\\overrightarrow{BC} \\parallel \\overrightarrow{DA}\\). Find the relationship between \\(x\\) and \\(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": "66",
"style": "rule"
} | {
"index": 4778,
"need_tools_kwargs": true,
"question": "若 $a, b, c, d \\in[2,4]$, 则 $\\frac{(a b+c d)^{2}}{\\left(a^{2}+d^{2}\\right)\\left(b^{2}+c^{2}\\right)}$ 的最大值与最小值的和为 $\\qquad.$原始的答案是\\frac{m}{n}的形式，其中m、n是互质的。请给出最终m + n的值",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-\\frac{\\sqrt{2}}{2}",
"style": "rule"
} | {
"index": 4779,
"need_tools_kwargs": true,
"question": "Determine the value of $\\cos 75^{\\circ}-\\cos 15^{\\circ}$ ( )\nA: $\\frac{\\sqrt{6}}{2}$\nB: $-\\frac{\\sqrt{6}}{2}$\nC: $\\frac{\\sqrt{2}}{2}$\nD: $-\\frac{\\sqrt{2}}{2}$",
"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": "Hitman: Enemy Within",
"style": "rule"
} | {
"index": 4780,
"need_tools_kwargs": true,
"question": "What is the name of the first book in the series based on a stealth video game series developed by the Danish company IO Interactive?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "7 January 1936",
"style": "rule"
} | {
"index": 4781,
"need_tools_kwargs": true,
"question": "When was the British author who wrote the novel on which \"Here We Go Round the Mulberry Bush\" was based 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": "2.8",
"style": "rule"
} | {
"index": 4782,
"need_tools_kwargs": true,
"question": "A right-angled triangle has sides of lengths 6, 8, and 10. A circle is drawn so that the area inside the circle but outside this triangle equals the area inside the triangle but outside the circle. The radius of the circle is closest to:\n(A) 2.9\n(B) 2.8\n(C) 3.8\n(D) 3.1\n(E) 3.6",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "977",
"style": "rule"
} | {
"index": 4783,
"need_tools_kwargs": true,
"question": "The sum\n\\[\n\\frac{1^2-2}{1!} + \\frac{2^2-2}{2!} + \\frac{3^2-2}{3!} + \\cdots + \\frac{2021^2 - 2}{2021!}\n\\]\ncan be expressed as a rational number \\(N\\). Find the last 3 digits of \\(2021! \\cdot 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": "The Tao of Steve",
"style": "rule"
} | {
"index": 4784,
"need_tools_kwargs": true,
"question": "Name another movie the actor who played Bullock in the fifth episode of the television series \"Gotham\" starred in ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Swiss",
"style": "rule"
} | {
"index": 4785,
"need_tools_kwargs": true,
"question": "Which country the director of film The Man In The Dark 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": "Makam Piranna Manka",
"style": "rule"
} | {
"index": 4786,
"need_tools_kwargs": true,
"question": "Which film has the director born earlier, Makam Piranna Manka or Hong Kong Confidential (1958 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": "Free Willy",
"style": "rule"
} | {
"index": 4787,
"need_tools_kwargs": true,
"question": "The NeverEnding Story III: Escape from Fantasia starred an American actor most commonly known for his role as Jesse in what series?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Frantz Yvelin",
"style": "rule"
} | {
"index": 4788,
"need_tools_kwargs": true,
"question": "Who is the CEO of an airline with its head office in Tremblay-en-France, France?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 4789,
"need_tools_kwargs": true,
"question": "Where did the director of film Journey To Italy 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",
"style": "rule"
} | {
"index": 4790,
"need_tools_kwargs": true,
"question": "There are 10 bags full of coins. All coins look the same and all weigh 10 grams, except the coins from one bag that are fake and all weigh 9 grams. Given a scale, how could you tell which bag has the fake coins in just one measurement? Explain your answer!",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 4791,
"need_tools_kwargs": true,
"question": "Do Nick Theslof and Dave Christian have the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Slew",
"style": "rule"
} | {
"index": 4792,
"need_tools_kwargs": true,
"question": "What was the nickname of grandfather of the man that married the former Carol Shepp 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": "722",
"style": "rule"
} | {
"index": 4793,
"need_tools_kwargs": true,
"question": "By adding the same number to the numerator and denominator of the fraction \\(\\frac{11}{41}\\), Ira obtained \\(\\frac{3}{8}\\) after simplification. Olya, by subtracting a certain number from the numerator of the fraction \\(\\frac{37}{63}\\) and adding the same number to the denominator, obtained \\(\\frac{3}{17}\\). What numbers did the girls add and subtract?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4794,
"need_tools_kwargs": true,
"question": "Suppose \\( n \\) is a natural number. For any real numbers \\( x, y, z \\), the inequality \\(\\left(x^{2} + y^{2} + z^{2}\\right) \\leqslant n \\left(x^{4} + y^{4} + z^{4}\\right)\\) always holds. Then the minimum value of \\( n \\) is \\(\\qquad\\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "600",
"style": "rule"
} | {
"index": 4795,
"need_tools_kwargs": true,
"question": "An $\\textrm{alien}$ script has $n$ letters $b_1,b_2,\\dots,b_n$ . For some $k<n/2$ assume that all words formed by any of the $k$ letters (written left to right) are meaningful. These words are called $k$ -words. Such a $k$ -word is considered $\\textbf{sacred}$ if:\n\ni. no letter appears twice and,\nii. if a letter $b_i$ appears in the word then the letters $b_{i-1}$ and $b_{i+1}$ do not appear. (Here $b_{n+1} = b_1$ and $b_0 = b_n$ ).\n\nFor example, if $n = 7$ and $k = 3$ then $b_1b_3b_6, b_3b_1b_6, b_2b_4b_6$ are sacred $3$ -words. On the other hand $b_1b_7b_4, b_2b_2b_6$ are not sacred. \nWhat is the total number of sacred $k$ -words?\nUse your formula to find the answer for $n = 10$ and $k = 4$ .",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": 4796,
"need_tools_kwargs": true,
"question": "The graph of $y = \\frac{p(x)}{q(x)}$ is shown below, where $p(x)$ and $q(x)$ are quadratic. (Assume that the grid lines are at integers.)\n\n[asy]\nunitsize(0.6 cm);\n\nreal func (real x) {\n return (2*(x - 1)/(x + 2));\n}\n\nint i;\n\nfor (i = -8; i <= 8; ++i) {\n draw((i,-8)--(i,8),gray(0.7));\n draw((-8,i)--(8,i),gray(0.7));\n}\n\ndraw((-8,0)--(8,0));\ndraw((0,-8)--(0,8));\ndraw((-2,-8)--(-2,8),dashed);\ndraw((-8,2)--(8,2),dashed);\ndraw(graph(func,-8,-2.1),red);\ndraw(graph(func,-1.9,8),red);\nfilldraw(Circle((5,func(5)),0.15),white,red);\n\nlimits((-8,-8),(8,8),Crop);\n[/asy]\n\nThe horizontal asymptote is $y = 2,$ and the only vertical asymptote is $x = -2.$ Find $\\frac{p(3)}{q(3)}.$The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 4797,
"need_tools_kwargs": true,
"question": "Find all triples $(a,b,c)$ of positive integers such that if $n$ is not divisible by any prime less than $2014$, then $n+c$ divides $a^n+b^n+n$. The original answer is in the form $(k, m, n)$, please give the value of $k + m + n$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(-1,4)",
"style": "rule"
} | {
"index": 4798,
"need_tools_kwargs": true,
"question": "If the graph of the function $y=f(x)$ passes through the point $(1,3)$, then the coordinates of the point that the graph of the function $y=f(-x)+1$ must pass through are.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Cages",
"style": "rule"
} | {
"index": 4799,
"need_tools_kwargs": true,
"question": "Which film whose director was born first, Ravenous (2017 Film) or Cages?",
"split": "train"
} | null |
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