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": "-3",
"style": "rule"
} | {
"index": 8700,
"need_tools_kwargs": true,
"question": "Given $a=(2,4,x)$ and $b=(2,y,2)$, if $|a|=6$ and $a \\perp b$, then the value of $x+y$ 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": "First Battle of the Marne",
"style": "rule"
} | {
"index": 8701,
"need_tools_kwargs": true,
"question": "Where was the initial German offensive on the western front during the war where Arthur Whealy served stopped in September 1914?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 8702,
"need_tools_kwargs": true,
"question": "What nationality is the director of film T-Men?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "June 30, 1983",
"style": "rule"
} | {
"index": 8703,
"need_tools_kwargs": true,
"question": "What is the birth date of the professional boxer who was only one of two people to professionally beat Steven \"Steve\" Luevano?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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!)^{2}",
"style": "rule"
} | {
"index": 8704,
"need_tools_kwargs": true,
"question": "One of the following is the largest square that is a factor of \\(10!\\). Which one?\n\nA \\((4!)^{2}\\)\n\nB \\((5!)^{2}\\)\n\nC \\((6!)^{2}\\)\n\nD \\((7!)^{2}\\)\n\nE \\((8!)^{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": "1824",
"style": "rule"
} | {
"index": 8705,
"need_tools_kwargs": true,
"question": "In what year was the school where Ed Anuff was educated founded?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "University of Texas at Austin",
"style": "rule"
} | {
"index": 8706,
"need_tools_kwargs": true,
"question": "At which public research university founded in 1881 Ralph Fielding served as the head football coach?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8707,
"need_tools_kwargs": true,
"question": "Let the coordinates of the moving points \\( P \\) and \\( P^{\\prime} \\) be \\( (x, y) \\) and \\((x^{\\prime}, y^{\\prime}) \\) respectively, and they satisfy the equations:\n\\[\n\\left\\{\n\\begin{array}{l}\nx^{\\prime}=3 x+2 y+1, \\\\\ny^{\\prime}=x+4 y-3 .\n\\end{array}\n\\right.\n\\]\n\nIf \\( P \\) and \\( P^{\\prime} \\) move along the same line, does such a line exist? If it exists, find its equation.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Stan Lee",
"style": "rule"
} | {
"index": 8708,
"need_tools_kwargs": true,
"question": "Cyber is a villian who appears in a comic book series created by what writer?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "12\\sqrt{3}R^2",
"style": "rule"
} | {
"index": 8709,
"need_tools_kwargs": true,
"question": "Around a sphere of radius \\( R \\), a regular hexagonal prism is described. Determine its total surface area.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8710,
"need_tools_kwargs": true,
"question": "Given that there are 3 weights of 1 gram, 3 weights of 2 grams, and 1 weight of 5 grams, determine how many different ways you can weigh an object of 9 grams using these weights. Remember that the weights can only be added to one side of the scale.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 8711,
"need_tools_kwargs": true,
"question": "Do both directors of films The Cowboy Millionaire (1935 film) and Madame Spy (1934 film) 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": "overdose",
"style": "rule"
} | {
"index": 8712,
"need_tools_kwargs": true,
"question": "Why did the director of film Under The Cherry Moon 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": "a crash while racing",
"style": "rule"
} | {
"index": 8713,
"need_tools_kwargs": true,
"question": "This motorcycle racer with over 100 race wins was the son of a motorcycle racer who died after 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": "\\frac{S}{2}",
"style": "rule"
} | {
"index": 8714,
"need_tools_kwargs": true,
"question": "Perpendiculars are drawn from the midpoint of each side of an acute-angled triangle with area \\( S \\) to the two other sides. Find the area of the hexagon bounded by these perpendiculars.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Hombisilu",
"style": "rule"
} | {
"index": 8715,
"need_tools_kwargs": true,
"question": "Which film whose director is younger, O Sport, You Are Peace! or Hombisilu?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Lyle Waggoner",
"style": "rule"
} | {
"index": 8716,
"need_tools_kwargs": true,
"question": "What star of Wonder Woman also starred in a show which ranked 16 on TV Guide's 50 Greatest TV Shows of All Time in 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": "Kaiser Chiefs",
"style": "rule"
} | {
"index": 8717,
"need_tools_kwargs": true,
"question": "Which band that Charlie Hugall produced for released the studio album \"22\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Herman Kogan",
"style": "rule"
} | {
"index": 8718,
"need_tools_kwargs": true,
"question": "Who is older, Steve Cronin or Herman Kogan?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8719,
"need_tools_kwargs": true,
"question": "Frist Campus Center is located $1$ mile north and $1$ mile west of Fine Hall. The area within $5$ miles of Fine Hall that is located north and east of Frist can be expressed in the form $\\frac{a}{b} \\pi - c$, where $a$, $b$, $c$ are positive integers and $a$ and $b$ are relatively prime. Find $a + b + c$.",
"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... | math | {
"ground_truth": "30",
"style": "rule"
} | {
"index": 8720,
"need_tools_kwargs": true,
"question": "Let $\\mathbf{B} = \\frac{1}{7} \\begin{pmatrix} -5 & p \\\\ q & r \\end{pmatrix}$ be a matrix with integer entries where $\\mathbf{B}^2 = \\mathbf{I}$. Find the largest possible value of $p + q + r.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "December 24, 1886",
"style": "rule"
} | {
"index": 8721,
"need_tools_kwargs": true,
"question": "When is the director of film Daughters Courageous '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": "19",
"style": "rule"
} | {
"index": 8722,
"need_tools_kwargs": true,
"question": "If $x$ is a real number and $\\lceil x \\rceil = 10,$ what are the possible values for $\\lceil x^2 \\rceil$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 8723,
"need_tools_kwargs": true,
"question": "Are the movies Rockets Galore! and Code Blue (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": "Hollywood",
"style": "rule"
} | {
"index": 8724,
"need_tools_kwargs": true,
"question": "Where did the director of film Avalanche (1928 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": "British",
"style": "rule"
} | {
"index": 8725,
"need_tools_kwargs": true,
"question": "Which country the director of film Back Street (1941 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... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"index": 8726,
"need_tools_kwargs": true,
"question": "Given two 2's, \"plus\" can be changed to \"times\" without changing the result: $2+2=2\\cdot2$. The solution with three numbers is easy too: $1+2+3=1\\cdot2\\cdot3$. There are three answers for the five-number case. Which five numbers with this property has the largest sum? The original answer is in the form a, a, a, b, c where a, b, c are integers in ascending order. Please give the value of a + a + a + b + 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": "Arsenal Football Club",
"style": "rule"
} | {
"index": 8727,
"need_tools_kwargs": true,
"question": "For what team did Fred Davis play that went 38-match league season unbeaten?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "40 years",
"style": "rule"
} | {
"index": 8728,
"need_tools_kwargs": true,
"question": "The American attorney, politician and author serving as a republican government official has served for how many years?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Wayfair",
"style": "rule"
} | {
"index": 8729,
"need_tools_kwargs": true,
"question": "Which company operates in the US and is exclusively e-commerce?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "3465",
"style": "rule"
} | {
"index": 8730,
"need_tools_kwargs": true,
"question": "What is the smallest positive odd number that has the same number of divisors as 360?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 8731,
"need_tools_kwargs": true,
"question": "Do both films, Olympus Has Fallen and The Snake Brothers, 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": "Chennai",
"style": "rule"
} | {
"index": 8732,
"need_tools_kwargs": true,
"question": "Where was the place of death of the composer of film Kiraatham?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "MGM Grand Las Vegas",
"style": "rule"
} | {
"index": 8733,
"need_tools_kwargs": true,
"question": "What hotel (that was the largest in the world upon opening) was designed by Veldon Simpson?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8734,
"need_tools_kwargs": true,
"question": "已知椭圆 \\df{x^2}{9}+\\df{y^2}{8}=1 的左、右焦点分别为 F_1,F_2，M 为椭圆上异于长轴顶点的动点，\\triangle MF_1F_2 的内心为 I. 则 \\df{\\overrightarrow{MI}\\cdot\\overrightarrow{MF_2}}{|\\overrightarrow{MF_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": "4",
"style": "rule"
} | {
"index": 8735,
"need_tools_kwargs": true,
"question": "Petya and Vasya are playing a game. First, Petya thinks of a polynomial \\( P(x) \\) with integer coefficients. Then, several moves are made. On a move, Vasya pays Petya one ruble and names any integer \\( a \\) of his choice that he has not previously named, and Petya responds with the number of integer solutions to the equation \\( P(x) = a \\). Vasya wins as soon as Petya gives the same number twice (not necessarily consecutively). What is the minimum number of rubles Vasya needs to guarantee a win?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Austrian",
"style": "rule"
} | {
"index": 8736,
"need_tools_kwargs": true,
"question": "Which country the director of film One Night In Yoshiwara 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": "One and Others",
"style": "rule"
} | {
"index": 8737,
"need_tools_kwargs": true,
"question": "What is the name of the sculpture Louise Bourgeois created in 1955?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 8738,
"need_tools_kwargs": true,
"question": "Were Karel Lismont and Andy Babiuk 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": "attorney",
"style": "rule"
} | {
"index": 8739,
"need_tools_kwargs": true,
"question": "What is the main occupation of the American football official Ed Hochuli who was part of the officiating crew for the 2009 NFL season which selected Tim Podraza as a line judge?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Con te partirò",
"style": "rule"
} | {
"index": 8740,
"need_tools_kwargs": true,
"question": "Which song by Francesco Sartori does Jackie Evancho include in her debut album?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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- \\sqrt{2}",
"style": "rule"
} | {
"index": 8741,
"need_tools_kwargs": true,
"question": "Given points $O(0,0), M(1,0)$, and a circle $C: {(x-5)}^{2}+{(y-4)}^{2}={r}^{2} (r > 0)$, there exists at least one point $P$ on circle $C$ such that $|PO| = \\sqrt{2}|PM|$. Find the minimum value of $r$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "300600",
"style": "rule"
} | {
"index": 8742,
"need_tools_kwargs": true,
"question": "Two wheels are connected by an endless belt; the smaller wheel makes 300 more revolutions per minute than the larger wheel. The larger wheel makes 10 revolutions in a time interval that is 1 second longer than the time it takes the smaller wheel to make the same number of revolutions. How many revolutions per minute does each wheel make?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{3}{4}",
"style": "rule"
} | {
"index": 8743,
"need_tools_kwargs": true,
"question": "Given that the interior angles \\(A, B, C\\) of triangle \\(\\triangle ABC\\) are opposite to the sides \\(a, b, c\\) respectively, and that \\(A - C = \\frac{\\pi}{2}\\), and \\(a, b, c\\) form an arithmetic sequence, find the value of \\(\\cos 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": "The Bangles",
"style": "rule"
} | {
"index": 8744,
"need_tools_kwargs": true,
"question": "Live is a song that was covered by which Los Angeles-based pop-rock band?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "3028",
"style": "rule"
} | {
"index": 8745,
"need_tools_kwargs": true,
"question": "For an arithmetic sequence $a_1,$ $a_2,$ $a_3,$ $\\dots,$ let\n\\[S_n = a_1 + a_2 + a_3 + \\dots + a_n,\\]and let\n\\[T_n = S_1 + S_2 + S_3 + \\dots + S_n.\\]If you are told the value of $S_{2019},$ then you can uniquely determine the value of $T_n$ for some integer $n.$ What is this integer $n$?",
"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": "178",
"style": "rule"
} | {
"index": 8746,
"need_tools_kwargs": true,
"question": "Determine the absolute value of the sum \\[ \\lfloor 2013\\sin{0^\\circ} \\rfloor + \\lfloor 2013\\sin{1^\\circ} \\rfloor + \\cdots + \\lfloor 2013\\sin{359^\\circ} \\rfloor, \\] where $\\lfloor x \\rfloor$ denotes the greatest integer less than or equal to $x$ .\n\n(You may use the fact that $\\sin{n^\\circ}$ is irrational for positive integers $n$ not divisible by $30$ .)\n\n*Ray Li*",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 8747,
"need_tools_kwargs": true,
"question": "Are Audriņi and Darab, Kermanshah 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": "\\frac{19}{36}",
"style": "rule"
} | {
"index": 8748,
"need_tools_kwargs": true,
"question": "Let \\( a_1, a_2, \\ldots \\) be a sequence of positive real numbers such that\n\\[ a_n = 9a_{n-1} - 2n \\] for all \\( n > 1 \\). Find the smallest possible value of \\( a_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... | qa | {
"ground_truth": "December 4, 1968",
"style": "rule"
} | {
"index": 8749,
"need_tools_kwargs": true,
"question": "When did the director of film State Street Sadie 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": "6.60",
"style": "rule"
} | {
"index": 8750,
"need_tools_kwargs": true,
"question": "Using types A and B sugar to make assorted sugar, if 1 kilogram of assorted sugar made from 3 parts type A sugar and 2 parts type B sugar is 1.32 yuan more expensive than that made from 2 parts type A sugar and 3 parts type B sugar, then how much more expensive is 1 kilogram of type A sugar than 1 kilogram of type B sugar?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 8751,
"need_tools_kwargs": true,
"question": "Do both directors of films Gorbaciof and Graduate First 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": "Roe v. Wade",
"style": "rule"
} | {
"index": 8752,
"need_tools_kwargs": true,
"question": "The American attorney, law professor and former member of the Texas House of Representatives who was portrayed by the actress known for \"Love Child\" (1982), \"Places in the Heart\" (1984), \"Field of Dreams\" (1989) and etc., is best known for which U. S. Supreme Court case?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Letters From Marusia",
"style": "rule"
} | {
"index": 8753,
"need_tools_kwargs": true,
"question": "Which film has the director who is older, Appayya (2013 Film) or Letters From Marusia?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "16 seasons",
"style": "rule"
} | {
"index": 8754,
"need_tools_kwargs": true,
"question": "How many baseball seasons did this American former professional baseball catcher of New York Mets and Los Angeles Dodgers play, for whom the American artist Tom Tsuchiya was commissioned to produce the National Baseball Hall of Fame and Museum plaque bas-reliefs?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "912",
"style": "rule"
} | {
"index": 8755,
"need_tools_kwargs": true,
"question": "From the numbers $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, four different numbers are selected, denoted as $a$, $b$, $c$, $d$ respectively. If the parity of $a+b$ is the same as the parity of $c+d$, then the total number of ways to select $a$, $b$, $c$, $d$ is ______ (provide the answer in numerical 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... | qa | {
"ground_truth": "Portia de Rossi",
"style": "rule"
} | {
"index": 8756,
"need_tools_kwargs": true,
"question": "Who is the spouse of the creator of Little Big Shots?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 10, 1999",
"style": "rule"
} | {
"index": 8757,
"need_tools_kwargs": true,
"question": "On what day, month, and year did Manny Pacquiao, a Filipino politician, businessman, former professional basketball player, and former professional boxer, marry Jinkee Jamora?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "14p \\sqrt{21p}",
"style": "rule"
} | {
"index": 8758,
"need_tools_kwargs": true,
"question": "Calculate $\\sqrt{42p} \\cdot \\sqrt{14p} \\cdot \\sqrt{7p}$ and express your answer in simplest radical form in terms of $p$.",
"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... | math | {
"ground_truth": "27720",
"style": "rule"
} | {
"index": 8759,
"need_tools_kwargs": true,
"question": "The expression \\( 29 \\cdot 13 \\) is a product of two integers greater than 1. When this product is divided by any integer \\( k \\) where \\( 2 \\leqslant k \\leqslant 11 \\), the remainder is 1. What is the difference between the two smallest such integers?\n\n(29th Annual American High School Mathematics Examination, 1978)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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^{27}-2^{11}",
"style": "rule"
} | {
"index": 8760,
"need_tools_kwargs": true,
"question": "Let \\( p(x) \\) be the polynomial \\( (1 - x)^a (1 - x^2)^b (1 - x^3)^c \\dots (1 - x^{32})^k \\), where \\( a, b, \\ldots, k \\) are integers. When expanded in powers of \\( x \\), the coefficient of \\( x \\) is \\(-2\\) and the coefficients of \\( x^2, x^3, \\ldots, x^{32} \\) are all zero. Find \\( 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": "New Zealand",
"style": "rule"
} | {
"index": 8761,
"need_tools_kwargs": true,
"question": "Which country the director of film Sweetie (1989 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... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"index": 8762,
"need_tools_kwargs": true,
"question": "在平面直角坐标系 xOy 中，曲线 y=x^3-ax 有两条互相平行的切线. 若这两条切线的斜率均为 1，且两条切线之间的距离为 8，则实数 a 的值为__________.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "11100^\\circ",
"style": "rule"
} | {
"index": 8763,
"need_tools_kwargs": true,
"question": "**Compute the smallest positive value of \\(x\\), in degrees, for which the function**\n\\[f(x) = \\sin \\frac{x}{5} + \\sin \\frac{x}{7}\\]\n**achieves its maximum value.**",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2 \\sqrt{2}",
"style": "rule"
} | {
"index": 8764,
"need_tools_kwargs": true,
"question": "If for any real numbers $u,v$, the inequality ${{(u+5-2v)}^{2}}+{{(u-{{v}^{2}})}^{2}}\\geqslant {{t}^{2}}(t > 0)$ always holds, then the maximum value of $t$ 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": "Cambridge",
"style": "rule"
} | {
"index": 8765,
"need_tools_kwargs": true,
"question": "What is the place of birth of the performer of song You (Ha Ha Ha)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "769",
"style": "rule"
} | {
"index": 8766,
"need_tools_kwargs": true,
"question": "A quadrilateral $ABCD$ has a right angle at $\\angle ABC$ and satisfies $AB = 12$, $BC = 9$, $CD = 20$, and $DA = 25$. Determine $BD^2$.",
"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": "50",
"style": "rule"
} | {
"index": 8767,
"need_tools_kwargs": true,
"question": "There are 100 points on a circle that are about to be colored in two colors: red or blue. Find the largest number $k$ such that no matter how I select and color $k$ points, you can always color the remaining $100-k$ points such that you can connect 50 pairs of points of the same color with lines in a way such that no two lines intersect.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 8768,
"need_tools_kwargs": true,
"question": "Are the movies Mama Dracula and The Peruvian, 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": "7",
"style": "rule"
} | {
"index": 8769,
"need_tools_kwargs": true,
"question": "How many years did Burt work in the Optics and Design department in the show \"Severance\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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, 2]",
"style": "rule"
} | {
"index": 8770,
"need_tools_kwargs": true,
"question": "Let \\( x, y \\in [0, 1] \\). Find the range of values for \\( f(x, y) = \\sqrt{\\frac{1+xy}{1+x^2}} + \\sqrt{\\frac{1-xy}{1+y^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": "11",
"style": "rule"
} | {
"index": 8771,
"need_tools_kwargs": true,
"question": "Find the base seven sum of the digits of the product of $53_7$ and $343_7$ (which is $7^3$ in decimal), and express the product in base seven.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "C: ± \\frac {3}{2}",
"style": "rule"
} | {
"index": 8772,
"need_tools_kwargs": true,
"question": "If two circles $x^2+y^2-2mx=0$ and $(x^2+(y-2)^2=1)$ are externally tangent, then the value of the real number $m$ is ( )\nA: $$\\frac {3}{2}$$\nB: $$- \\frac {3}{2}$$\nC: $$± \\frac {3}{2}$$\nD: $$± \\frac {9}{4}$$",
"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": "Julie Brown",
"style": "rule"
} | {
"index": 8773,
"need_tools_kwargs": true,
"question": "The story of the first American woman to complete a triple axel jump in competition was parodied in a 1994 film starring whom?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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, 0) \\cup (3, +\\infty)",
"style": "rule"
} | {
"index": 8774,
"need_tools_kwargs": true,
"question": "If the function $f(x)$ is an odd function defined on $\\mathbb{R}$, and for $x > 0$, $f(x) = 2^{x-1} - 3$, find the solution set of the inequality $f(x) > 1$.",
"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... | qa | {
"ground_truth": "Everyone's Hero",
"style": "rule"
} | {
"index": 8775,
"need_tools_kwargs": true,
"question": "What movie did the child actor who played the role as Max Russo star in in 2006?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{95}{23}",
"style": "rule"
} | {
"index": 8776,
"need_tools_kwargs": true,
"question": "If \\( x + 5 \\) is a factor of \\( dx^3 + 17x^2 - 2dx + 50 \\), find the constant \\( d \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 8777,
"need_tools_kwargs": true,
"question": "Are both Aviador Carlos Campos Airport and Bader Field 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": "Christopher James \"Chris\" Coy",
"style": "rule"
} | {
"index": 8778,
"need_tools_kwargs": true,
"question": "What actor starred both in the movie \"The Culling\" and the HBO series \"The Deuce?\"",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\sin^2\\beta",
"style": "rule"
} | {
"index": 8779,
"need_tools_kwargs": true,
"question": "In the modified figure, $AB$ is a diameter of the circle, $CD$ is a chord parallel to $AB$, and $AC$ intersects $BD$ at $E$, with $\\angle AED = 90^\\circ - \\beta$. Find the ratio of the area of $\\triangle CDE$ to that of $\\triangle ABE$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "311 West 34th Street",
"style": "rule"
} | {
"index": 8780,
"need_tools_kwargs": true,
"question": "At what address did Final Battle 2012: Doomsday take place?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Edwin John \"Eddie\" Fisher",
"style": "rule"
} | {
"index": 8781,
"need_tools_kwargs": true,
"question": "Which singer who appeared on The Jane Pickens Show was married to Debbie Reynolds?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1165322",
"style": "rule"
} | {
"index": 8782,
"need_tools_kwargs": true,
"question": "An isosceles triangle \\( ABC \\) is drawn on the coordinate plane such that \\( AB = 2016 \\) and \\( BC = AC = 1533 \\). The vertices \\( A \\) and \\( B \\) lie on lattice points along the same horizontal line. Calculate the total number of lattice points (including those on the sides) that lie within triangle \\( ABC \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": 8783,
"need_tools_kwargs": true,
"question": "Two distinct squares of the $8 \\times 8$ chessboard $C$ are said to be adjacent if they have a vertex or side in common. Also, $g$ is called a $C$-gap if for every numbering of the squares of $C$ with all the integers $1, 2, \\ldots, 64$, there exist two adjacent squares whose numbers differ by at least $g$. Determine the largest $C$-gap $g$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8784,
"need_tools_kwargs": true,
"question": "Point \\( I \\) is the center of the circle inscribed in triangle \\( ABC \\) with sides \\( BC = 6 \\), \\( CA = 8 \\), and \\( AB = 10 \\). Line \\( BI \\) intersects side \\( AC \\) at point \\( K \\). Let \\( KH \\) be the perpendicular dropped from point \\( K \\) onto side \\( AB \\). Find the distance from point \\( I \\) to line \\( KH \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{2}",
"style": "rule"
} | {
"index": 8785,
"need_tools_kwargs": true,
"question": "In the Cartesian coordinate system $xOy$, if a hyperbola $\\frac{x^2}{a^2} - y^2 = 1$ ($a > 0$) passes through the focus of the parabola $y^2 = 8x$, then the eccentricity of the hyperbola 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": "no",
"style": "rule"
} | {
"index": 8786,
"need_tools_kwargs": true,
"question": "Are Walter Janka and Guadalupe Silerio both from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(0, 0)",
"style": "rule"
} | {
"index": 8787,
"need_tools_kwargs": true,
"question": "The participants of a cockroach race run in a circle in the same direction, starting simultaneously from point \\(S\\). The cockroaches \\(A, B, C\\) run such that \\(SX = XY = YC\\). The lines \\(AX\\) and \\(BY\\) intersect at point \\(Z\\). Find the locus of the intersection of the medians of triangle \\(ABC\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "63,395",
"style": "rule"
} | {
"index": 8788,
"need_tools_kwargs": true,
"question": "According to the 2010 census, what was the population of the city in which Baking Powder Creek is located?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 8789,
"need_tools_kwargs": true,
"question": "Is the number \\(\\left(\\dfrac{2}{\\sqrt[3]{25}+\\sqrt[3]{15}+\\sqrt[3]{9}}+\\dfrac{1}{\\sqrt[3]{9}+\\sqrt[3]{6}+\\sqrt[3]{4}}\\right) \\times \\left(\\sqrt[3]{25}+\\sqrt[3]{10}+\\sqrt[3]{4}\\right)\\) rational or irrational?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 8790,
"need_tools_kwargs": true,
"question": "Which country the director of film Tomorrow You'Re Gone 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": "Qin dynasty",
"style": "rule"
} | {
"index": 8791,
"need_tools_kwargs": true,
"question": "What dynasty united the authoritive books of Confucianism in China?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Lwów",
"style": "rule"
} | {
"index": 8792,
"need_tools_kwargs": true,
"question": "What is the place of birth of Xawery Żuławski'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": "Holborn",
"style": "rule"
} | {
"index": 8793,
"need_tools_kwargs": true,
"question": "What is the place of birth of Edward Francis Fitzwilliam's father?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "14",
"style": "rule"
} | {
"index": 8794,
"need_tools_kwargs": true,
"question": "矩阵微分方程 \\df{\\dd }{\\dd t}M(t)=B(t) 代表每个元素都满足微分方程 \\df{\\dd}{\\dd t}M_{ij}(t)=B_{ij}(t). 考虑矩阵微分方程 \\df{\\dd}{\\dd t}M(t)=AM(t)，其中矩阵 A 和初始矩阵 M(0) 分别为A=\\begin{bmatrix}2&1&3\\\\ 1&3&2\\\\ 3&2&1\\end{bmatrix},\\quad M(0)=\\begin{bmatrix} 3&2&1\\\\ 2&1&3\\\\ 1&3&2\\end{bmatrix}.令 a=\\ln|\\det(M(2))|，求 [|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": "Franklin County",
"style": "rule"
} | {
"index": 8795,
"need_tools_kwargs": true,
"question": "In what county was the 160th Air Refueling Group last based?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "0.68",
"style": "rule"
} | {
"index": 8796,
"need_tools_kwargs": true,
"question": "What is the shortest distance between the circles defined by $x^2 - 8x + y^2 + 6y = 8$ and $x^2 + 6x + y^2 - 2y = 1$?",
"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": "10",
"style": "rule"
} | {
"index": 8797,
"need_tools_kwargs": true,
"question": "设集合 $\\left\\{\\left.\\frac{3}{a}+b \\right\\rvert\\, 1 \\leqslant a \\leqslant b \\leqslant 2\\right\\}$ 中的最大元素与最小元素分别为 $M, m$ ，则 $M-m$ 的值原始答案为$m-n \\sqrt{k}$，请给出m + n + k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": "2",
"style": "rule"
} | {
"index": 8798,
"need_tools_kwargs": true,
"question": "The natural numbers \\(a, x\\) and \\(y\\), each greater than 100, satisfy the equation \\(y^{2} - 1 = a^{2}(x^{2} - 1)\\). What is the smallest value that the fraction \\(\\frac{\\alpha}{x}\\) can take?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8799,
"need_tools_kwargs": true,
"question": "Consider the rational function $$y = \\frac{3x^3 - x^2 + 4x - 8}{x-2}.$$ Determine the equation of the slant asymptote and find the sum of the coefficients of the terms in the slant asymptote equation.",
"split": "train"
} | null |
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