data_source stringclasses 1
value | prompt listlengths 2 2 | ability stringclasses 2
values | reward_model dict | extra_info dict | metadata null |
|---|---|---|---|---|---|
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Hollywood Hancock Park",
"style": "rule"
} | {
"index": 1800,
"need_tools_kwargs": true,
"question": "What was the name of the subdivision in which Toni Childs’ condo was located in the series Girlfriends?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1801,
"need_tools_kwargs": true,
"question": "Tom catches crabs for a living. He has 8 crab buckets that he checks every day. Each crab bucket gets 12 crabs. He sells each of these crabs for a certain amount. He makes $3360 per week. How much does he sell each crab for?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1802,
"need_tools_kwargs": true,
"question": "求所有的函数 f:\\bR\\rightarrow\\bR，使得对任意实数 x,y，均有(f(x)+xy)f(x-3y)+(f(y)+xy)f(3x-y)=f(x+y)^2。答案的形式为f(x) = a或f(x) = bx^2，请给出a+b的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Hollywood",
"style": "rule"
} | {
"index": 1803,
"need_tools_kwargs": true,
"question": "Where did the director of film The Untamed (1920 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": "Serbian",
"style": "rule"
} | {
"index": 1804,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Little Murder?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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, 3, 2)",
"style": "rule"
} | {
"index": 1805,
"need_tools_kwargs": true,
"question": "Determine all prime numbers \\( p, q \\), and \\( r \\) such that \\( p + q^2 = r^4 \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Australian",
"style": "rule"
} | {
"index": 1806,
"need_tools_kwargs": true,
"question": "What nationality is the director of film The War On Democracy?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "six",
"style": "rule"
} | {
"index": 1807,
"need_tools_kwargs": true,
"question": "How many Academy Awards have been won by the director/producer/screenwriter team that handled the film Surviving Picasso?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "112",
"style": "rule"
} | {
"index": 1808,
"need_tools_kwargs": true,
"question": "In the binomial expansion of $( \\sqrt[3]{x} - \\frac{2}{x})^{n}$, if only the coefficient of the 5th term is the greatest, then the constant term of the binomial expansion is ______.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "American",
"style": "rule"
} | {
"index": 1809,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Nerdcore Rising (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": "(x, y, z) = (2, 1, 4)",
"style": "rule"
} | {
"index": 1810,
"need_tools_kwargs": true,
"question": "Find the digits \\( x, y, z \\) in the equation \\( \\overline{x5} \\cdot \\overline{3yz} = 7850 \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "24",
"style": "rule"
} | {
"index": 1811,
"need_tools_kwargs": true,
"question": "Cat and Claire are having a conversation about Cat's favorite number.\n\nCat says, \"My favorite number is a two-digit positive integer with distinct nonzero digits, $\\overline{AB}$, such that $A$ and $B$ are both factors of $\\overline{AB}$.\"\n\nClaire says, \"I don't know your favorite number yet, but I do know that among four of the numbers that might be your favorite number, you could start with any one of them, add a second, subtract a third, and get the fourth!\"\n\nCat says, \"That's cool, and my favorite number is among those four numbers! Also, the square of my number is the product of two of the other numbers among the four you mentioned!\"\n\nClaire says, \"Now I know your favorite number!\"\n\nWhat is Cat's favorite number?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "88",
"style": "rule"
} | {
"index": 1812,
"need_tools_kwargs": true,
"question": "\"To the End of the Earth\" is a song that was promoted at a super-regional shopping centre with how many stores initally?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1813,
"need_tools_kwargs": true,
"question": "Three circles are tangent to each other, as shown in the figure. The area of the region of the outer circle that is not covered by the two inner circles is $2 \\pi$. Determine the length of the segment $PQ$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1215",
"style": "rule"
} | {
"index": 1814,
"need_tools_kwargs": true,
"question": "Let $a, b, c$, and $d$ be real numbers such that $a^2 + b^2 + c^2 + d^2 = 3a + 8b + 24c + 37d = 2018$. Evaluate $3b + 8c + 24d + 37a$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1815,
"need_tools_kwargs": true,
"question": "Do both directors of films The In Crowd (2000 Film) and Digna... Hasta El Último Aliento 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": "6",
"style": "rule"
} | {
"index": 1816,
"need_tools_kwargs": true,
"question": "In the geoboard shown, the points are evenly spaced vertically and horizontally. Segment $AB$ is drawn using two points, as shown. Point $C$ is to be chosen from the remaining $23$ points. How many of these $23$ points will result in triangle $ABC$ being isosceles? [asy]\ndraw((0,0)--(0,6)--(6,6)--(6,0)--cycle,linewidth(1));\nfor(int i=1;i<6;++i)\n{for(int j=1;j<6;++j)\n{dot((i,j));}\n}\ndraw((2,2)--(4,2),linewidth(1));\nlabel(\"A\",(2,2),SW);\nlabel(\"B\",(4,2),SE);\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": "270",
"style": "rule"
} | {
"index": 1817,
"need_tools_kwargs": true,
"question": "Let $n$ be the least positive integer for which $149^n-2^n$ is divisible by $3^3\\cdot5^5\\cdot7^7.$ Find the number of positive integer divisors of $n.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "10100.0",
"style": "rule"
} | {
"index": 1818,
"need_tools_kwargs": true,
"question": "The sequence \\(a_{n}\\) is defined as follows:\n\n\\(a_{1}=2, a_{n+1}=a_{n}+\\frac{2 a_{n}}{n}\\), for \\(n \\geq 1\\). Find \\(a_{100}\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1819,
"need_tools_kwargs": true,
"question": "What nationality is the composer of song Yo Ho (A Pirate'S Life For Me)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "five-time",
"style": "rule"
} | {
"index": 1820,
"need_tools_kwargs": true,
"question": "How many times did the player who was given a wild card entry to the 2013 World Championship win the World Championship ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "used as a palace and as a prison",
"style": "rule"
} | {
"index": 1821,
"need_tools_kwargs": true,
"question": "Holger Sinding-Larsen was most associated with his work at a fortressed used as what?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "14",
"style": "rule"
} | {
"index": 1822,
"need_tools_kwargs": true,
"question": "Calculate the total number of unique four-digit numbers formed by the digits 2, 3, 4, 5, and 6, without any repetition, in which the digits 5 and 6 are adjacent, and the entire number is odd.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 22, 1998",
"style": "rule"
} | {
"index": 1823,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Once Before I 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": "no",
"style": "rule"
} | {
"index": 1824,
"need_tools_kwargs": true,
"question": "Does the FOX News - Health article fail to identify the Mayo Clinic as taking a leadership role in artificial intelligence efforts in health care, while the TechCrunch article credits California with leading in privacy-protective innovation for AI technologies?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "4.0",
"style": "rule"
} | {
"index": 1825,
"need_tools_kwargs": true,
"question": "\nFor \\( x, y \\in [1,3] \\), find the minimum value of the expression\n\n\\[ \nA = \\frac{(3xy + x^{2}) \\sqrt{3xy + x - 3y} + (3xy + y^{2}) \\sqrt{3xy + y - 3x}}{x^{2} y + y^{2} x} \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": "-8062",
"style": "rule"
} | {
"index": 1826,
"need_tools_kwargs": true,
"question": "Given the function $f(x) = x + \\sin(\\pi x) - 3$, study its symmetry center $(a, b)$ and find the value of $f\\left( \\frac {1}{2016} \\right) + f\\left( \\frac {2}{2016} \\right) + f\\left( \\frac {3}{2016} \\right) + \\ldots + f\\left( \\frac {4030}{2016} \\right) + f\\left( \\frac {4031}{2016} \\right)$.",
"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": "2001000",
"style": "rule"
} | {
"index": 1827,
"need_tools_kwargs": true,
"question": "Let $[x]$ denote the greatest integer less than or equal to $x$. For example, $[3.15]=3,[3.7]=3,[3]=3$. Find the value of $[\\sqrt[3]{1 \\cdot 2 \\cdot 3}]+[\\sqrt[3]{2 \\cdot 3 \\cdot 4}]+[\\sqrt[3]{3 \\cdot 4 \\cdot 5}]+\\cdots+[\\sqrt[3]{2000 \\cdot 2001 \\cdot 2002}]$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Amélie",
"style": "rule"
} | {
"index": 1828,
"need_tools_kwargs": true,
"question": "Which French film was spoofed in My Big Fat Independent Movie?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "0.271812128486511",
"style": "rule"
} | {
"index": 1829,
"need_tools_kwargs": true,
"question": "What is the probability that when rolling 10 fair dice, each number from 1 to 6 appears on at least one 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": "60\\sqrt{3}",
"style": "rule"
} | {
"index": 1830,
"need_tools_kwargs": true,
"question": "One angle of a parallelogram is 150 degrees, and two consecutive sides have lengths of 10 inches and 12 inches. What is the area of the parallelogram? Express your answer in simplest radical form.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "285714",
"style": "rule"
} | {
"index": 1831,
"need_tools_kwargs": true,
"question": "Find the smallest positive integer such that when the last digit is moved to the front, the new number is $\\frac{3}{2}$ times the original number.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "3:8",
"style": "rule"
} | {
"index": 1832,
"need_tools_kwargs": true,
"question": "Bob started out the week with $80. On Monday alone, he spent half the money. On Tuesday, he spent one-fifth of the amount left from Monday. On Wednesday, he spent some portion of the amount left from Tuesday. He has $20 left now. What is the ratio of the amount spent on Wednesday to the amount left from Tuesday?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2002",
"style": "rule"
} | {
"index": 1833,
"need_tools_kwargs": true,
"question": "Compute the number of tuples $\\left(a_{0}, a_{1}, a_{2}, a_{3}, a_{4}, a_{5}\\right)$ of (not necessarily positive) integers such that $a_{i} \\leq i$ for all $0 \\leq i \\leq 5$ and $$a_{0}+a_{1}+\\cdots+a_{5}=6$$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Wayne Campbell",
"style": "rule"
} | {
"index": 1834,
"need_tools_kwargs": true,
"question": "Which retired Australian rules football player and administrator for the Richmond Football Club was a pre-count favourite for the 1995 Brownlow Medal?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Beijing Film Academy",
"style": "rule"
} | {
"index": 1835,
"need_tools_kwargs": true,
"question": "Where did the director of film Delamu study?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1836,
"need_tools_kwargs": true,
"question": "Are director of film Prarambha and director of film Shaft In Africa both from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Pietro Bernini",
"style": "rule"
} | {
"index": 1837,
"need_tools_kwargs": true,
"question": "Who's the dad of the sculptor who made The Sleeping Hermaphroditus?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "300",
"style": "rule"
} | {
"index": 1838,
"need_tools_kwargs": true,
"question": "Using a permutation of the numbers \\(10, 20, 30, 40\\) for \\(A, B, C, D\\), maximize the value of the expression \\(\\frac{1}{A - \\frac{1}{B + \\frac{1}{C - \\frac{1}{D}}}\\). After maximizing this expression, calculate the value of \\(A + 2B + 3C + 4D\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Women Men Marry",
"style": "rule"
} | {
"index": 1839,
"need_tools_kwargs": true,
"question": "Which film has the director died earlier, Brothers Of The West or Women Men 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": "no",
"style": "rule"
} | {
"index": 1840,
"need_tools_kwargs": true,
"question": "Are both directors of films The Singing Hotel and Seven Days (1925 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": "La Cuna Vacía",
"style": "rule"
} | {
"index": 1841,
"need_tools_kwargs": true,
"question": "Which film was released earlier, Ganashatru or La Cuna Vacía?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1842,
"need_tools_kwargs": true,
"question": "Let the function $f(x)= \\dfrac{(x+1)^{2}+ \\sqrt{2}x^{3}-3x^{-1}}{x^{2}+1}$ where $x \\in [-m,m]$ have a maximum value of $M$ and a minimum value of $N$. Then, $M+N=$ _____________",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{14}{45}",
"style": "rule"
} | {
"index": 1843,
"need_tools_kwargs": true,
"question": "Given four distinct positive integers \\( a, b, c, \\) and \\( d \\) chosen from the set of integers 1 to 10 inclusive, determine the least possible value of the expression \\(\\frac{a}{b} + \\frac{c}{d}\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "524287",
"style": "rule"
} | {
"index": 1844,
"need_tools_kwargs": true,
"question": "We want to attach a curtain to the rod. We can ensure equal distances easily if, after clipping the two outermost clips, there is a middle clip in the remaining portion. Moreover, we require that this condition holds for each further division, with a middle clip being placed after each subsequent division. How many clips can we attach to the curtain rod if we want to fix the curtain in this manner?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Jo Jo White",
"style": "rule"
} | {
"index": 1845,
"need_tools_kwargs": true,
"question": "What Celtics player, born November 16, 1946, was named NBA Finals MVP in their 1975-76 season?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "What do you think I'm gonna do? Blow my brains out?",
"style": "rule"
} | {
"index": 1846,
"need_tools_kwargs": true,
"question": "What were Terry Kath's famously ironic last words?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{34\\sqrt{34}}{15}",
"style": "rule"
} | {
"index": 1847,
"need_tools_kwargs": true,
"question": "A rectangle $PQRS$ has dimensions $PQ=5$ and $QR=3$. A line $XY$ is constructed through $Q$ such that $XY$ is perpendicular to $PR$. Points $P$ and $S$ are located on $XQ$ and $YQ$, respectively. What is the length of $XY$?\nA) $\\frac{31\\sqrt{34}}{15}$\nB) $\\frac{32\\sqrt{34}}{12}$\nC) $\\frac{34\\sqrt{34}}{15}$\nD) $\\frac{36\\sqrt{34}}{15}$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{1}{8}",
"style": "rule"
} | {
"index": 1848,
"need_tools_kwargs": true,
"question": "Given real numbers \\( x_1, x_2, \\ldots, x_{2021} \\) satisfy \\( \\sum_{i=1}^{2021} x_i^2 = 1 \\), find the maximum value of \\( \\sum_{i=1}^{2020} x_i^3 x_{i+1}^3 \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "5 April 1908",
"style": "rule"
} | {
"index": 1849,
"need_tools_kwargs": true,
"question": "When did Margaret Greville's husband 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": "\\frac{11}{99}",
"style": "rule"
} | {
"index": 1850,
"need_tools_kwargs": true,
"question": "Given a triangle \\( ABC \\) with an area of 1, where points \\( D \\) and \\( E \\) are located such that the ratio \\( DO:OB = 1:3 \\) and the ratio \\( EO:OA = 4:5 \\). Calculate the area of triangle \\( DOE \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1.11111111111111",
"style": "rule"
} | {
"index": 1851,
"need_tools_kwargs": true,
"question": "The miller took $\\frac{1}{10}$ of all the flour as payment for milling. How much flour did the peasant's grain yield if, after paying the miller, he had one sack left?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1852,
"need_tools_kwargs": true,
"question": "Given $\\tan(\\alpha + \\beta + \\frac{\\pi}{6}) = \\frac{1}{2}$ and $\\tan(\\beta - \\frac{\\pi}{6}) = -\\frac{1}{3}$, find the value of $\\tan(\\alpha + \\frac{\\pi}{3})$.",
"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": "-120",
"style": "rule"
} | {
"index": 1853,
"need_tools_kwargs": true,
"question": "A triangle is formed with edges along the line $y=\\frac{2}{3}x+5$, the $x$-axis, and the line $x=k$. If the area of the triangle is less than $20$, find the sum of all possible integral values of $k$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "shrubs",
"style": "rule"
} | {
"index": 1854,
"need_tools_kwargs": true,
"question": "What type of plant is represented in the species of both the Ficus genus and Calceolaria genus?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Alexis Sánchez",
"style": "rule"
} | {
"index": 1855,
"need_tools_kwargs": true,
"question": "In 2018, what Chilean footballer left Arsenal to join the team that The Saints beat in 1976 to win the FA Cup?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "10 October 1785",
"style": "rule"
} | {
"index": 1856,
"need_tools_kwargs": true,
"question": "When was Princess Florestine Of Monaco's father 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": "1+\\sqrt{5}",
"style": "rule"
} | {
"index": 1857,
"need_tools_kwargs": true,
"question": "Let $a$ and $b$ be real numbers, and let $r, s$, and $t$ be the roots of $f(x)=x^{3}+a x^{2}+b x-1$. Also, $g(x)=x^{3}+m x^{2}+n x+p$ has roots $r^{2}, s^{2}$, and $t^{2}$. If $g(-1)=-5$, find the maximum possible value of $b$.",
"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": "1969",
"style": "rule"
} | {
"index": 1858,
"need_tools_kwargs": true,
"question": "The \"Connally Building\" is adjacent to a shopping district opened in what year?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "January 25, 1990",
"style": "rule"
} | {
"index": 1859,
"need_tools_kwargs": true,
"question": "When was the South Korean singer-songwriter who is a member of , 2PM 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": "\\left[\\frac{36}{5}, \\frac{31}{4}\\right]",
"style": "rule"
} | {
"index": 1860,
"need_tools_kwargs": true,
"question": "\nGiven nine non-negative real numbers \\(a_{1}, a_{2}, \\cdots, a_{9}\\) whose sum is 1, define\n$$\n\\begin{array}{l}\nS=\\min \\left\\{a_{1}, a_{2}\\right\\}+2 \\min \\left\\{a_{2}, a_{3}\\right\\}+\\cdots+8 \\min \\left\\{a_{8}, a_{9}\\right\\}+9 \\min \\left\\{a_{9}, a_{1}\\right\\}, \\\\\nT=\\max \\left\\{a_{1}, a_{2}\\right\\}+2 \\max \\left\\{a_{2}, a_{3}\\right\\}+\\cdots+8 \\max \\left\\{a_{8}, a_{9}\\right\\}+9 \\max \\left\\{a_{9}, a_{1}\\right\\},\n\\end{array}\n$$\n\nwhere \\(\\min \\{x, y\\}\\) denotes the smaller of \\(x\\) and \\(y\\), and \\(\\max \\{x, y\\}\\) denotes the larger of \\(x\\) and \\(y\\). Let \\(S_{0}\\) be the maximum possible value of \\(S\\). When \\(S=S_{0}\\), find all possible values of \\(T\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Gauri Pradhan Tejwani",
"style": "rule"
} | {
"index": 1861,
"need_tools_kwargs": true,
"question": "What is the name of this Indian businesswoman, former model turned and Indian television actress, starring in Meethi Choori No. 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": "14",
"style": "rule"
} | {
"index": 1862,
"need_tools_kwargs": true,
"question": "Two types of anti-inflammatory drugs must be selected from $X_{1}$, $X_{2}$, $X_{3}$, $X_{4}$, $X_{5}$, with the restriction that $X_{1}$ and $X_{2}$ must be used together, and one type of antipyretic drug must be selected from $T_{1}$, $T_{2}$, $T_{3}$, $T_{4}$, with the further restriction that $X_{3}$ and $T_{4}$ cannot be used at the same time. Calculate the number of different test schemes.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1863,
"need_tools_kwargs": true,
"question": "Given five distinct positive numbers. They can be divided into two groups so that the sums of the numbers in these groups are equal. In how many ways can this be done?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "5.187377517639621",
"style": "rule"
} | {
"index": 1864,
"need_tools_kwargs": true,
"question": "A picky princess is choosing a groom. One hundred grooms are courting her, each better than the last, and no two are equal. However, they propose in a random order. We will call a groom outstanding if the princess likes him more than all who have proposed before him. The first groom is also considered outstanding since no one came before him.\n\nWe will say that an outstanding groom and all those who propose after him but before the next outstanding groom (if there is one) form a sequence of grooms. Find the expected number of grooms in the first such 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": "Hilde Volk",
"style": "rule"
} | {
"index": 1865,
"need_tools_kwargs": true,
"question": "Who is the spouse of the director of film Just Once A Great Lady (1957 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": "20 February 2011",
"style": "rule"
} | {
"index": 1866,
"need_tools_kwargs": true,
"question": "When did Prashanthini'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": "New York",
"style": "rule"
} | {
"index": 1867,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Uptown Girls?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "28 September 1837",
"style": "rule"
} | {
"index": 1868,
"need_tools_kwargs": true,
"question": "What is the date of death of Mirza Jahangir's father?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "2017",
"style": "rule"
} | {
"index": 1869,
"need_tools_kwargs": true,
"question": "Rosie Fellner portrayed Joei Harkness with an English actor who passed away in which year ? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1870,
"need_tools_kwargs": true,
"question": "Are both Kim, Republic Of Bashkortostan and Sheykh Isa, West Azerbaijan 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": "July 12, 1951",
"style": "rule"
} | {
"index": 1871,
"need_tools_kwargs": true,
"question": "What is the date of birth of Jordan Ladd's mother?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "The adze",
"style": "rule"
} | {
"index": 1872,
"need_tools_kwargs": true,
"question": "What was found, in the Cango Valley along with Circular stone hearths and calcified dung remains of domesticated sheep, that is a cutting tool shaped somewhat like an axe that dates back to the stone age?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "8 February 1772",
"style": "rule"
} | {
"index": 1873,
"need_tools_kwargs": true,
"question": "When did Prince Henry, Duke Of Cumberland And Strathearn's mother 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": "1898",
"style": "rule"
} | {
"index": 1874,
"need_tools_kwargs": true,
"question": "In what year was the prison, in which the 1999 American fantasy crime drama film written and directed by Frank Darabont, opened?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Brotherhood Of Satan",
"style": "rule"
} | {
"index": 1875,
"need_tools_kwargs": true,
"question": "Which film has the director born earlier, Her Third or The Brotherhood Of Satan?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Atomic Fireman",
"style": "rule"
} | {
"index": 1876,
"need_tools_kwargs": true,
"question": "Which film has the director died later, Manhattan Merry-Go-Round (Film) or The Atomic Fireman?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "49",
"style": "rule"
} | {
"index": 1877,
"need_tools_kwargs": true,
"question": "Triangle $ABC$ satisfies $AB=104$ , $BC=112$ , and $CA=120$ . Let $\\omega$ and $\\omega_A$ denote the incircle and $A$ -excircle of $\\triangle ABC$ , respectively. There exists a unique circle $\\Omega$ passing through $A$ which is internally tangent to $\\omega$ and externally tangent to $\\omega_A$ . Compute the radius of $\\Omega$ .",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1878,
"need_tools_kwargs": true,
"question": "在正四棱锥 $P-A B C D$ 中, $M, N$ 分别为 $P A, P B$ 的中点, 若侧面与底面所成二面角的正切值为 $\\sqrt{2}$ ，求异面直线 $D M$ 与 $A N$ 所成角的余弦值。答案的形式为\\frac{k}{m}，请给出k+m的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(11, 5), (7, 5), (6, 6), (5, 11)",
"style": "rule"
} | {
"index": 1879,
"need_tools_kwargs": true,
"question": "Masha has \\( x \\) rubles, Petya has \\( y \\) rubles, then:\n\n\\[ n(x-3) = y + 3 \\]\n\\[ x + n = 3(y - n) \\]\n\nExpress \\( x \\) from the second equation and substitute into the first:\n\n\\[ n(3y - 4n - 3) = y + 3, \\]\n\n\\[ 3ny - y = 4n^2 + 3n + 3, \\]\n\n\\[ y = \\frac{4n^2 + 3n + 3}{3n - 1} \\]\n\nIn order for \\( y \\) to be an integer, \\( (4n^2 + 3n + 3) \\) must be divisible by \\( 3n - 1 \\):\n\n\\[ \\frac{4n^2 + 3n + 3}{3n - 1} \\]\n\nAfter performing the division:\n\n\\[ \\frac{13n + 9}{3n - 1} \\]\n\nHence:\n\n\\[ \\frac{40}{3n - 1} \\]\n\nThe divisors of 40 satisfying this equation are \\( n = 1, 2, 3, 7 \\).\n\nWe check if \\( x \\) and \\( y \\) remain natural numbers for these values of \\( n \\).\n\n- For \\( n = 1 \\), \\( y = 5 \\), \\( x = 11 \\)\n- For \\( n = 2 \\), \\( y = 5 \\), \\( x = 7 \\)\n- For \\( n = 3 \\), \\( y = 6 \\), \\( x = 6 \\)\n- For \\( n = 7 \\), \\( y = 11 \\), \\( x = 5 \\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Saluri Rajeswara Rao",
"style": "rule"
} | {
"index": 1880,
"need_tools_kwargs": true,
"question": "Who is the father of the composer of film Aayanaki Iddaru?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Grote Street",
"style": "rule"
} | {
"index": 1881,
"need_tools_kwargs": true,
"question": "Which street crosses the public square named Tarntanyagga?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Canadian",
"style": "rule"
} | {
"index": 1882,
"need_tools_kwargs": true,
"question": "Which country the director of film Little Old New York (1923 Film) 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": "1966",
"style": "rule"
} | {
"index": 1883,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film Henry Vi, Part 1 (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": "League of the Three Emperors",
"style": "rule"
} | {
"index": 1884,
"need_tools_kwargs": true,
"question": "Q1:What is another name for THE Three Caesars' Alliance. Q2:Austria-Hungary and Russia and Germany were called what when they became a Alliance?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1885,
"need_tools_kwargs": true,
"question": "Are Manuchehrabad, Shahreza and Anbar Tappeh, Golestan both located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"index": 1886,
"need_tools_kwargs": true,
"question": "Clara and Dina were born on the same date in different years, $n$ years apart. Last year, Clara was three times as old as Dina. This year, Clara's age is one more than the cube of Dina's age. Determine the value of $n$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0.5232323",
"style": "rule"
} | {
"index": 1887,
"need_tools_kwargs": true,
"question": "Arrange $\\frac{131}{250}, \\frac{21}{40}, 0.5 \\dot{2} \\dot{3}, 0.52 \\dot{3}, 0.5 \\dot{2}$ in ascending order. The third number 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... | qa | {
"ground_truth": "Ocean's Twelve",
"style": "rule"
} | {
"index": 1888,
"need_tools_kwargs": true,
"question": "What other film, beside the American neo-noir dystopian science fiction action film directed by Alex Proyas was considered a blockbuster in 2004?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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",
"style": "rule"
} | {
"index": 1889,
"need_tools_kwargs": true,
"question": "In triangle \\( ABC \\), point \\( D \\) is chosen on side \\( AC \\) such that \\( 2AD = DC \\). Let \\( E \\) be the foot of the perpendicular dropped from point \\( D \\) to segment \\( BC \\), and let \\( F \\) be the intersection point of segments \\( BD \\) and \\( AE \\). Given that triangle \\( BEF \\) is equilateral, determine the measure of angle \\( ADB \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1890,
"need_tools_kwargs": true,
"question": "Do both directors of films For Her Sake (1930 Film) and If I Were Single 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": "Francis Ford",
"style": "rule"
} | {
"index": 1891,
"need_tools_kwargs": true,
"question": "Who is the father of the director of film Buckaroo Sheriff Of Texas?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "USCGC \"Taney\"",
"style": "rule"
} | {
"index": 1892,
"need_tools_kwargs": true,
"question": "Which ship was named for the fifth Chief Justice of the Supreme Court?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"index": 1893,
"need_tools_kwargs": true,
"question": "Place all terms of the arithmetic sequence \\(2, 6, 10, 14, \\cdots, 2006\\) closely together to form a large number \\(A = 261014 \\cdots 2006\\). Find the remainder when \\(A\\) is divided by 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": "[-2,1)",
"style": "rule"
} | {
"index": 1894,
"need_tools_kwargs": true,
"question": "Let $a$ be a real number, for the function $f(x)={x}^{2}-2x+{a}^{2}+3a-3$ and the parabola $C$: $({y}^{2}=4x)$, there are two propositions: $p$: the minimum value of the function $f(x)$ is less than $0$; $q$: the distance from the moving point $M(\\dfrac{{a}^{2}}{4},a)$ on the parabola $({y}^{2}=4x)$ to the focus $F$ is greater than $2$. It is known that \"$\\neg p$\" and \"$p \\wedge q$\" are both false propositions. Find the range of values of the real number $a$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Constable Benton Fraser",
"style": "rule"
} | {
"index": 1895,
"need_tools_kwargs": true,
"question": "What character in due \"Due South\" did the star of \"Slings and Arrows\" play?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1896,
"need_tools_kwargs": true,
"question": "Are both the Wire Fox Terrier and West Siberian Laika dog breeds?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1897,
"need_tools_kwargs": true,
"question": "In the subtraction operation represented by the expression \\(\\frac{a 9}{18 b 8}\\), determine the sum of the digits \\(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... | math | {
"ground_truth": "76.5",
"style": "rule"
} | {
"index": 1898,
"need_tools_kwargs": true,
"question": "Consider a convex quadrilateral \\(WXYZ\\) where the lengths of the sides are given as \\(WZ = 9\\), \\(XY = 5\\), \\(YZ = 12\\), and \\(YW = 15\\). Additionally, it is known that \\(\\angle WXY = 90^{\\circ}\\). Calculate the area of the quadrilateral \\(WXYZ\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "99",
"style": "rule"
} | {
"index": 1899,
"need_tools_kwargs": true,
"question": "We seek the true statement. There are one hundred statements written in a notebook:\n\n1) There is exactly one false statement in this notebook.\n2) There are exactly two false statements in this notebook.\n...\n100) There are exactly one hundred false statements in this notebook.\n\nWhich one of these statements is true, given that only one is true?",
"split": "train"
} | null |
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