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": "7",
"style": "rule"
} | {
"index": 5400,
"need_tools_kwargs": true,
"question": "Six people are seated around a circular table, each picking a number and sharing it with their two immediate neighbors. Everyone then declares the average of the numbers they received from these neighbors. If one person, who picked the number \\(15\\), announced an average of \\(8\\), what number did the person who announced an average of \\(5\\) pick?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Overcoat",
"style": "rule"
} | {
"index": 5401,
"need_tools_kwargs": true,
"question": "Which Soviet drama film did this Soviet and Russian actor acclaimed for his portrayal of noble and positive characters direct in 1959?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Antonio Lucio Vivaldi (] ; 4 March 1678 – 28 July 1741) was an Italian Baroque composer,",
"style": "rule"
} | {
"index": 5402,
"need_tools_kwargs": true,
"question": "From which country is the composer of La cetra, published in 1727?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "director",
"style": "rule"
} | {
"index": 5403,
"need_tools_kwargs": true,
"question": "What do Robert Florey and Roman Polanski have in common?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "98.7",
"style": "rule"
} | {
"index": 5404,
"need_tools_kwargs": true,
"question": "Josanna's test scores so far are 92, 81, 75, 65, and 88. After participating in a helpful workshop, she receives an additional 5 points that can be added to her average score calculation for her next test only. Josanna wants to increase her average score by 6 points over her next two tests. What is the minimum score she must average on these two new tests to accomplish this goal?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5405,
"need_tools_kwargs": true,
"question": "[b]p1.[/b] I open my $2010$-page dictionary, whose pages are numbered $1$ to $2010$ starting on page $1$ on the right side of the spine when opened, and ending with page $2010$ on the left. If I open to a random page, what is the probability that the two page numbers showing sum to a multiple of $6$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0.5",
"style": "rule"
} | {
"index": 5406,
"need_tools_kwargs": true,
"question": "If the inequality system $\\left\\{\\begin{array}{l}{x-m＞0}\\\\{x-2＜0}\\end{array}\\right.$ has only one positive integer solution, then write down a value of $m$ that satisfies the condition: ______.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "third",
"style": "rule"
} | {
"index": 5407,
"need_tools_kwargs": true,
"question": "In the season where the Raptors recruit the shortest player to ever play in the NBA, what place did the team finish in the Central Division?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5408,
"need_tools_kwargs": true,
"question": "Let $x,$ $y,$ $z$ be real numbers such that $x + y + z = 1,$ and $x \\ge -\\frac{1}{3},$ $y \\ge -1,$ and $z \\ge -\\frac{5}{3}.$ Find the maximum value of\n\\[\\sqrt{3x + 1} + \\sqrt{3y + 3} + \\sqrt{3z + 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... | math | {
"ground_truth": "\\frac{12}{25}",
"style": "rule"
} | {
"index": 5409,
"need_tools_kwargs": true,
"question": "In the game of rock-paper-scissors-lizard-Spock, rock defeats scissors and lizard, paper defeats rock and Spock, scissors defeats paper and lizard, lizard defeats paper and Spock, and Spock defeats rock and scissors. If three people each play a game of rock-paper-scissors-lizard-Spock at the same time by choosing one of the five moves at random, what is the probability that one player beats the other two?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "\"EastEnders\" and \"Coronation Street\"",
"style": "rule"
} | {
"index": 5410,
"need_tools_kwargs": true,
"question": "What BBC shows did Jimi Mistry who also appeared in the 2006 war thriller Blood Diamonds appear in?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 5411,
"need_tools_kwargs": true,
"question": "Do director of film Ode to Billy Joe (film) and director of film Murder (2004 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": "Usha Mangeshkar",
"style": "rule"
} | {
"index": 5412,
"need_tools_kwargs": true,
"question": "What Indian singer has recorded Hindi, Bengali, Marathi, Kannada, Nepali, Bhojpuri and Gujarati songs an was given a break by Datta Davjekar?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 5413,
"need_tools_kwargs": true,
"question": "Are both director of film Dawn of Life and director of film The Prince of Avenue A 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": "September 12, 2003",
"style": "rule"
} | {
"index": 5414,
"need_tools_kwargs": true,
"question": "What is the date of death of the performer of song Next In Line (Johnny Cash Song)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Andrew Szanton",
"style": "rule"
} | {
"index": 5415,
"need_tools_kwargs": true,
"question": "With what memoirist did the first African American popularly elected to the United States Senate work?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Jason Derulo",
"style": "rule"
} | {
"index": 5416,
"need_tools_kwargs": true,
"question": "Which of the singers featured in Climate Change was born in September 21, 1989?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "April 5, 2010",
"style": "rule"
} | {
"index": 5417,
"need_tools_kwargs": true,
"question": "Root Beer Guy is an episode of a serieis which was officially premiered when?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\dfrac {2}{5} + \\dfrac {1}{5}i",
"style": "rule"
} | {
"index": 5418,
"need_tools_kwargs": true,
"question": "Find the conjugate of the complex number $\\dfrac {-i}{1-2i}(i)$, which is a unit imaginary number.\n\nA: $- \\dfrac {2}{5}+ \\dfrac {i}{5}$\nB: $- \\dfrac {2}{5}- \\dfrac {i}{5}$\nC: $ \\dfrac {2}{5}- \\dfrac {i}{5}$\nD: $ \\dfrac {2}{5}+ \\dfrac {i}{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": "Margarethe von Trotta",
"style": "rule"
} | {
"index": 5419,
"need_tools_kwargs": true,
"question": "Who is the spouse of the director of film The Morals Of Ruth Halbfass?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Old Reliable",
"style": "rule"
} | {
"index": 5420,
"need_tools_kwargs": true,
"question": "Herbert James Haddockwas captain of British transatlantic ocean liner which gained what nickname?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{4}",
"style": "rule"
} | {
"index": 5421,
"need_tools_kwargs": true,
"question": "Given that $\\alpha$ and $\\beta$ are two interior angles of an oblique triangle, if $\\frac{{\\cos \\alpha - \\sin \\alpha}}{{\\cos \\alpha + \\sin \\alpha}} = \\cos 2\\beta$, then the minimum value of $\\tan \\alpha + \\tan \\beta$ 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... | math | {
"ground_truth": "0",
"style": "rule"
} | {
"index": 5422,
"need_tools_kwargs": true,
"question": "Let $x$, $y$, and $z$ be real numbers such that\n\\[\\cos x + \\cos y + \\cos z = \\sin x + \\sin y + \\sin z = 0.\\]Find the sum of all possible values of $\\cos 2x + \\cos 2y + \\cos 2z.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5423,
"need_tools_kwargs": true,
"question": "Let \\[f(x) = \\left\\{\n\\begin{array}{cl}\n2x + 7 & \\text{if } x < -2, \\\\\n-x^2 - x + 1 & \\text{if } x \\ge -2.\n\\end{array}\n\\right.\\]Find the sum of all values of $x$ such that $f(x) = -5.$",
"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... | math | {
"ground_truth": "32",
"style": "rule"
} | {
"index": 5424,
"need_tools_kwargs": true,
"question": "A photo archive is arranged in identical albums, with exactly 4 photos on each page. The 81st photo ends up on the 5th page of one album, and the 171st photo ends up on the 3rd page of another. How many photos does each album hold?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Horus",
"style": "rule"
} | {
"index": 5425,
"need_tools_kwargs": true,
"question": "which egyptian god was bitten by a snake",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5426,
"need_tools_kwargs": true,
"question": "For which real numbers \\(a\\) and \\(b\\) is it true that for every \\(x \\in [0, 1]\\), \\(\\left|x^{2} - a x - b\\right| \\leq \\frac{1}{8}\\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "(201)_{4}",
"style": "rule"
} | {
"index": 5427,
"need_tools_kwargs": true,
"question": "Convert the decimal number 33 into a quaternary 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": "33",
"style": "rule"
} | {
"index": 5428,
"need_tools_kwargs": true,
"question": "Ann has constructed a $4$-step staircase using $28$ toothpicks. She plans to build a $6$-step staircase, and the number of toothpicks required for each additional step increases by $3$ more than the previous step's increase. Determine how many more toothpicks Ann needs to complete the $6$-step staircase.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "10999999999",
"style": "rule"
} | {
"index": 5429,
"need_tools_kwargs": true,
"question": "Define the binary operation $a \\Delta b = ab + a - 1$. Compute \n\\[\n10 \\Delta (10 \\Delta (10 \\Delta (10 \\Delta (10 \\Delta (10 \\Delta (10 \\Delta (10 \\Delta (10 \\Delta 10))))))))\n\\]\nwhere $10$ is written $10$ times.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "96",
"style": "rule"
} | {
"index": 5430,
"need_tools_kwargs": true,
"question": "Find the minimum value of $4(x^2 + y^2 + z^2 + w^2) + (xy - 7)^2 + (yz - 7)^2 + (zw - 7)^2 + (wx - 7)^2$ as $x, y, z$, and $w$ range over all real numbers.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "m^2",
"style": "rule"
} | {
"index": 5431,
"need_tools_kwargs": true,
"question": "If (m - 8) is a factor of a quadratic expression, and when this expression is factored, one of the factors is (m - 8) and the other is (m + 3), what is the original quadratic expression?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "American",
"style": "rule"
} | {
"index": 5432,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Stranger By Night?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5433,
"need_tools_kwargs": true,
"question": "The minimum value of the function $y=-\\sin^3x-2\\sin x$ 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": "Hilltops Council",
"style": "rule"
} | {
"index": 5434,
"need_tools_kwargs": true,
"question": "Nathan Lyon was born in the largest town in what council?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{8825}{201}",
"style": "rule"
} | {
"index": 5435,
"need_tools_kwargs": true,
"question": "Let \\( S = \\{-100, -99, -98, \\ldots, 99, 100\\} \\). Choose a 50-element subset \\( T \\) of \\( S \\) at random. Find the expected number of elements of the set \\( \\{|x|: x \\in 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... | math | {
"ground_truth": "2 \\times 10^{2017}",
"style": "rule"
} | {
"index": 5436,
"need_tools_kwargs": true,
"question": "The sum of five consecutive integers is \\(10^{2018}\\). What is the middle number?\nA) \\(10^{2013}\\)\nB) \\(5^{2017}\\)\nC) \\(10^{2017}\\)\nD) \\(2^{2018}\\)\nE) \\(2 \\times 10^{2017}\\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5437,
"need_tools_kwargs": true,
"question": "Consider the theorem: \"If two angles of a triangle are equal, the triangle is isosceles.\" Analyze the following statements in relation to this theorem:\n\n1. If two angles of a triangle are not equal, the triangle is not isosceles.\n2. The base angles of an isosceles triangle are equal.\n3. If a triangle is not isosceles, then two of its angles are not equal.\n4. A necessary condition that two angles of a triangle be equal is that the triangle be isosceles.\n\nWhich of these statements are logically equivalent to the given theorem? Provide a detailed explanation for your reasoning.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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, -2",
"style": "rule"
} | {
"index": 5438,
"need_tools_kwargs": true,
"question": "For the fraction to be an integer, the condition $4n + 9 = -1, 1, -3, 3$ must hold. Then $n = -2,-3$, and there are no other values.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 November 1959",
"style": "rule"
} | {
"index": 5439,
"need_tools_kwargs": true,
"question": "On what day, month, and year was Kristin Glosimot Kjelsberg, a Norwegian handball player who played 112 matches and scored 371 goals for the Norwegian national team between 1978 and 1983, born?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Victoria's South Sudanese community",
"style": "rule"
} | {
"index": 5440,
"need_tools_kwargs": true,
"question": "What community were the founding members of Islander 23's rival gang 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": "118",
"style": "rule"
} | {
"index": 5441,
"need_tools_kwargs": true,
"question": "Assume that the scores $X$ of 400,000 students in a math mock exam in Yunnan Province approximately follow a normal distribution $N(98,100)$. It is known that a student's score ranks among the top 9100 in the province. Then, the student's math score will not be less than ______ points. (Reference data: $P(\\mu -\\sigma\\ \\ \\lt X \\lt \\mu +\\sigma )=0.6827, P(\\mu -2\\sigma\\ \\ \\lt X \\lt \\mu +2\\sigma )=0.9545$)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "2015 Ole Miss Rebels football team",
"style": "rule"
} | {
"index": 5442,
"need_tools_kwargs": true,
"question": "The 2015 Oklahoma State Cowboys football team lost to which team in the Sugar Bowl?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Justin Kurzel",
"style": "rule"
} | {
"index": 5443,
"need_tools_kwargs": true,
"question": "Who directed a film that starred David Thewlis?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1534",
"style": "rule"
} | {
"index": 5444,
"need_tools_kwargs": true,
"question": "Define a modified monotonous number as either a one-digit number or a number whose digits, when read from left to right, form a strictly increasing sequence using digits 0 to 9, or a strictly decreasing sequence using digits 1 through 9 but allowing a leading zero (e.g., '01', '020'). For example, '23589' and '01' (treated as '10' in reverse) are modified monotonous, but '120', '2001', and '332' are not. Calculate the total number of modified monotonous positive integers.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "3 October 2000",
"style": "rule"
} | {
"index": 5445,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film An Uneventful Story?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 divorce",
"style": "rule"
} | {
"index": 5446,
"need_tools_kwargs": true,
"question": "This American talk show host and comedian was inducted into the Television Academy Hall of Fame in 1987, awarded the Presidential Medal of Freedom in 1992, and traveled to Mexico to obtain what?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 5447,
"need_tools_kwargs": true,
"question": "According to the directions on the can of frozen orange juice concentrate, 1 part of concentrate is to be mixed with 5 parts of water to make orange juice. How many milliliters of the concentrate are required to prepare 375 servings of orange juice, each serving being 150 milliliters?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "43",
"style": "rule"
} | {
"index": 5448,
"need_tools_kwargs": true,
"question": "Compute the number of ordered pairs of integers \\((a, b)\\), with \\(2 \\leq a, b \\leq 2021\\), that satisfy the equation\n$$\na^{\\log _{b}\\left(a^{-4}\\right)}=b^{\\log _{a}\\left(b a^{-3}\\right)}.\n$$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\sqrt{58}",
"style": "rule"
} | {
"index": 5449,
"need_tools_kwargs": true,
"question": "A mole has chewed a hole in a carpet in the shape of a rectangle with sides of 10 cm and 4 cm. Find the smallest size of a square patch that can cover this hole (a patch covers the hole if all points of the rectangle lie inside the square or on its boundary).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5450,
"need_tools_kwargs": true,
"question": "Let $ABCDEF$ be a regular hexagon. Let $G$, $H$, $I$, $J$, $K$, and $L$ be the midpoints of sides $AB$, $BC$, $CD$, $DE$, $EF$, and $AF$, respectively. The segments $\\overline{AH}$, $\\overline{BI}$, $\\overline{CJ}$, $\\overline{DK}$, $\\overline{EL}$, and $\\overline{FG}$ bound a smaller regular hexagon. Let the ratio of the area of the smaller hexagon to the area of $ABCDEF$ be expressed as a fraction $\\frac {m}{n}$ where $m$ and $n$ are relatively prime positive integers. Find $m + n$.\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": "32",
"style": "rule"
} | {
"index": 5451,
"need_tools_kwargs": true,
"question": "In the staircase-shaped region below, all angles that look like right angles are right angles, and each of the eight congruent sides marked with a tick mark have length 1 foot. If the region has area 53 square feet, what is the number of feet in the perimeter of the region? [asy]\nsize(120);\ndraw((5,7)--(0,7)--(0,0)--(9,0)--(9,3)--(8,3)--(8,4)--(7,4)--(7,5)--(6,5)--(6,6)--(5,6)--cycle);\nlabel(\"9 ft\",(4.5,0),S);\ndraw((7.85,3.5)--(8.15,3.5)); draw((6.85,4.5)--(7.15,4.5)); draw((5.85,5.5)--(6.15,5.5)); draw((4.85,6.5)--(5.15,6.5));\ndraw((8.5,2.85)--(8.5,3.15)); draw((7.5,3.85)--(7.5,4.15)); draw((6.5,4.85)--(6.5,5.15)); draw((5.5,5.85)--(5.5,6.15));\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... | qa | {
"ground_truth": "a right-wing party",
"style": "rule"
} | {
"index": 5452,
"need_tools_kwargs": true,
"question": "Is the Indian politician Uma Bharti's political party left-leaning or right-leaning?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 = 40, y = 50",
"style": "rule"
} | {
"index": 5453,
"need_tools_kwargs": true,
"question": "In a workshop, there are 90 workers. Each worker can produce either 15 bolts or 24 nuts per day on average. If one bolt needs to be matched with two nuts, how should the workers be allocated to ensure that the bolts and nuts are exactly matched?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Anthony \"Tony\" Eggleton",
"style": "rule"
} | {
"index": 5454,
"need_tools_kwargs": true,
"question": "Who was the press secretary for the 17th Prime Minister of Australia?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "|φ|=\\frac{5π}{6}",
"style": "rule"
} | {
"index": 5455,
"need_tools_kwargs": true,
"question": "The graph of the function $y=\\cos (2x+φ)(-π\\leqslant φ < π)$ is shifted to the right by $\\frac{π}{2}$ units and overlaps with the graph of the function $y=\\sin (2x+ \\frac{π}{3})$. Find the absolute value of $|φ|$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1717",
"style": "rule"
} | {
"index": 5456,
"need_tools_kwargs": true,
"question": "Find the area of the region described by $x \\ge 0,$ $y \\ge 0,$ and\n\\[100 \\{x\\} \\ge \\lfloor x \\rfloor + \\lfloor y \\rfloor.\\]Note: For a real number $x,$ $\\{x\\} = x - \\lfloor x \\rfloor$ denotes the fractional part of $x.$ For example, $\\{2.7\\} = 0.7.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": 5457,
"need_tools_kwargs": true,
"question": "Let S be the solid in three-dimensional space consisting of all points $(x, y, z)$ satisfying the following system of six simultaneous conditions:\n$$x\\geqslant0, y\\geqslant0, z\\geqslant0,\n\\\\x+y+z\\leqslant 11.\n\\\\2x+4y+3z\\leqslant36.\n\\\\2x+3z\\leqslant24.$$\nSketch in the bc-plane the set of points $(b, c)$ such that $(2,5,4)$ is one of the points $(x, y, z)$ at which the linear function $bx+cy+z$ assumes its maximum value on S. The original answer is in the form b+c=k. Please give the value 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... | math | {
"ground_truth": "105",
"style": "rule"
} | {
"index": 5458,
"need_tools_kwargs": true,
"question": "In the diagram, square $ABCD$ has sides of length $4,$ and $\\triangle ABE$ is equilateral. Line segments $BE$ and $AC$ intersect at $P.$ Point $Q$ is on $BC$ so that $PQ$ is perpendicular to $BC$ and $PQ=x.$ [asy]\npair A, B, C, D, E, P, Q;\nA=(0,0);\nB=(4,0);\nC=(4,-4);\nD=(0,-4);\nE=(2,-3.464);\nP=(2.535,-2.535);\nQ=(4,-2.535);\ndraw(A--B--C--D--A--E--B);\ndraw(A--C);\ndraw(P--Q, dashed);\nlabel(\"A\", A, NW);\nlabel(\"B\", B, NE);\nlabel(\"C\", C, SE);\nlabel(\"D\", D, SW);\nlabel(\"E\", E, S);\nlabel(\"P\", P, W);\nlabel(\"Q\", Q, dir(0));\nlabel(\"$x$\", (P+Q)/2, N);\nlabel(\"4\", (A+B)/2, N);\n[/asy] Determine the measure of angle $BPC.$ If the answer is $x^\\circ$, find the value of $x$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "10 May 1995",
"style": "rule"
} | {
"index": 5459,
"need_tools_kwargs": true,
"question": "On what day, month, and year was Leon R. Rohde, a German road and track cyclist, 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",
"style": "rule"
} | {
"index": 5460,
"need_tools_kwargs": true,
"question": "Let $ABCD$ be a square with center $O$. Let $E, F, G, H$ be points on the segments $AB, BC, CD, AD$ respectively, such that $AE = BF = CG = DH$. The line $OA$ intersects the segment $EH$ at point $X$, $OB$ intersects $EF$ at point $Y$, $OC$ intersects $FG$ at point $Z$, and $OD$ intersects $HG$ at point $W$. If the area of quadrilateral $EFGH$ is 1, find the product of the areas of $ABCD$ and $XYZW$. Note: $(P)$ denotes the area of polygon $P$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "25 October 1400",
"style": "rule"
} | {
"index": 5461,
"need_tools_kwargs": true,
"question": "What is the date of death of Philippa Roet's husband?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Shin Terra",
"style": "rule"
} | {
"index": 5462,
"need_tools_kwargs": true,
"question": "Who directed a 2016 action comedy drama film starring a South Korean actor and singer who first gained widespread fame in Korea and parts of Asia with his role as Gu Jun-pyo in \"Boys Over Flowers\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "48",
"style": "rule"
} | {
"index": 5463,
"need_tools_kwargs": true,
"question": "Let \\( PQRS \\) be a rectangle where \\( \\overline{PQ} \\parallel \\overline{RS} \\) and \\( PQ = RS \\). Points \\( U \\) and \\( V \\) lie on diagonal \\( \\overline{PS} \\) with \\( U \\) between \\( P \\) and \\( V \\), such that \\( \\angle PUV = \\angle QVR = 90^\\circ \\). Given that \\( PU = 4 \\), \\( UV = 2 \\), and \\( VS = 6 \\), determine the area of rectangle \\( PQRS \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 1, 1999",
"style": "rule"
} | {
"index": 5464,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Back To Bataan?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "615468",
"style": "rule"
} | {
"index": 5465,
"need_tools_kwargs": true,
"question": "A square is drawn on a plane with a given rectangular Cartesian coordinate system, with vertices at points \\((0, 0)\\), \\((0, 69)\\), \\((69, 69)\\), and \\((69, 0)\\). Find the number of ways to choose two lattice points inside this square (excluding its boundary) such that at least one of these points lies on one of the lines \\(y = x\\) or \\(y = 69 - x\\), but neither of the chosen points lies on any line parallel to the coordinate axes.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Boudewijn \"Bolo\" Zenden",
"style": "rule"
} | {
"index": 5466,
"need_tools_kwargs": true,
"question": " During the 1998–99 FC Barcelona season what footballer played as a left winger or as an attcking midfielder?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "847",
"style": "rule"
} | {
"index": 5467,
"need_tools_kwargs": true,
"question": "Let $P(t) = t^3+27t^2+199t+432$ . Suppose $a$ , $b$ , $c$ , and $x$ are distinct positive reals such that $P(-a)=P(-b)=P(-c)=0$ , and \\[\n\\sqrt{\\frac{a+b+c}{x}} = \\sqrt{\\frac{b+c+x}{a}} + \\sqrt{\\frac{c+a+x}{b}} + \\sqrt{\\frac{a+b+x}{c}}. \\] If $x=\\frac{m}{n}$ for relatively prime positive integers $m$ and $n$ , compute $m+n$ .\n\n*Proposed by Evan Chen*",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "4640",
"style": "rule"
} | {
"index": 5468,
"need_tools_kwargs": true,
"question": "A certain university needs $40L$ of helium gas to make balloon decorations for its centennial celebration. The chemistry club voluntarily took on this task. The club's equipment can produce a maximum of $8L$ of helium gas per day. According to the plan, the club must complete the production within 30 days. Upon receiving the task, the club members immediately started producing helium gas at a rate of $xL$ per day. It is known that the cost of raw materials for producing $1L$ of helium gas is $100$ yuan. If the daily production of helium gas is less than $4L$, the additional cost per day is $W_1=4x^2+16$ yuan. If the daily production of helium gas is greater than or equal to $4L$, the additional cost per day is $W_2=17x+\\frac{9}{x}-3$ yuan. The production cost consists of raw material cost and additional cost.\n\n$(1)$ Write the relationship between the total cost $W$ (in yuan) and the daily production $x$ (in $L$).\n\n$(2)$ When the club produces how many liters of helium gas per day, the total cost is minimized? What is the minimum cost?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Oregon",
"style": "rule"
} | {
"index": 5469,
"need_tools_kwargs": true,
"question": "What was a popular amusement park that lies on the coastline of the Pacific Ocean?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{51\\sqrt{3}}{6}",
"style": "rule"
} | {
"index": 5470,
"need_tools_kwargs": true,
"question": "A line that passes through the origin intersects both the line $x = 2$ and the line $y = \\frac{\\sqrt{3}}{4} x$. The three lines create an equilateral triangle. Find the perimeter of this triangle.\n**A.** $\\frac{48\\sqrt{3}}{6} \\quad$\n**B.** $\\frac{51\\sqrt{3}}{6} \\quad$\n**C.** $\\frac{54\\sqrt{3}}{6} \\quad$\n**D.** $\\frac{60\\sqrt{3}}{6}$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Kate del Castillo",
"style": "rule"
} | {
"index": 5471,
"need_tools_kwargs": true,
"question": "Who was the actress in \"El Americano: The Movie\" that also starred in \"Muchachitas\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Navegante Group",
"style": "rule"
} | {
"index": 5472,
"need_tools_kwargs": true,
"question": "Who operates the venue that hosted the 2014 Evolution Championship Series?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "8x+25y-58=0",
"style": "rule"
} | {
"index": 5473,
"need_tools_kwargs": true,
"question": "A line $l$ passes through the point $M(1,2)$ and intersects the ellipse $\\frac{x^2}{25} + \\frac{y^2}{16} = 1$ at points $A$ and $B$. If point $M$ is exactly the midpoint of the line segment $AB$, then the equation of line $l$ 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": 5474,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song On The Banks Of The Old Ponchartrain?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "4060 \\cdot 2^{27}",
"style": "rule"
} | {
"index": 5475,
"need_tools_kwargs": true,
"question": "In the expansion of $(x+2)^{30}$, what is the coefficient of the $x^3$ term?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Caesars Entertainment Corporation",
"style": "rule"
} | {
"index": 5476,
"need_tools_kwargs": true,
"question": "Who operates The AXIS Theater?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5477,
"need_tools_kwargs": true,
"question": "Let $\\overline{MN}$ be a diameter of a circle with diameter 1. Let $A$ be a point on one of the semicircular arcs determined by $\\overline{MN}$ such that $MA= \\frac{3}{4}$. Let $B$ be another point on the same arc such that $MB=\\frac{1}{2}$. Point $C$ lies on the other semicircular arc at an equal distance from $M$ and $N$. Let $d$ be the length of the line segment whose endpoints are the intersections of diameter $\\overline{MN}$ with chords $\\overline{AC}$ and $\\overline{BC}$. The largest possible value of $d$ can be written in the form $r-s\\sqrt{t}$, where $r, s$ and $t$ are positive integers, and $t$ is not divisible by the square of any prime. Find $r+s+t$.",
"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": "The Story of the Pig",
"style": "rule"
} | {
"index": 5478,
"need_tools_kwargs": true,
"question": "What book about swine was written by the author of Pacala?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "\"When Harry Met Sally...\"",
"style": "rule"
} | {
"index": 5479,
"need_tools_kwargs": true,
"question": "The director of You've Got Mail won a BAFTA Award for Best Original Screenplay for what 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": "165",
"style": "rule"
} | {
"index": 5480,
"need_tools_kwargs": true,
"question": "Elmo makes $N$ sandwiches for a fundraiser. For each sandwich, he uses $B$ globs of peanut butter at 4 cents per glob and $J$ blobs of jam at 5 cents per glob. The cost of the peanut butter and jam to make all the sandwiches is \\$2.53. Assume that $B$, $J$, and $N$ are all positive integers with $N > 1$. What is the cost of the jam Elmo uses to make the sandwiches in cents?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Gugudan",
"style": "rule"
} | {
"index": 5481,
"need_tools_kwargs": true,
"question": "This South Korean television series that premiere on July 17, 2017 stars a singer and actress who is a member of what girl group?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Runner Runner",
"style": "rule"
} | {
"index": 5482,
"need_tools_kwargs": true,
"question": "Which film was released more recently, Runner Runner or Suggestion Box?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": " (p, p) = (x, y) ",
"style": "rule"
} | {
"index": 5483,
"need_tools_kwargs": true,
"question": "Find all pairs of positive integers $(x, y)$ that satisfy the following two conditions:\n\n\n- The average of $x$ and $y$ is a prime.\n- $\\frac{x!+y!}{x+y}$ is an 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": "32",
"style": "rule"
} | {
"index": 5484,
"need_tools_kwargs": true,
"question": "Given the sequence $\\left\\{a_{n}\\right\\}$ satisfying: $a_{1}=1, a_{2}=2, a_{2k+1}=\\frac{a_{2k}^{2}}{a_{2k-1}}$, and $a_{2k+2}=2a_{2k+1}-a_{2k}$ for $k \\in \\mathbf{N}^{*}$, find the last two digits of $a_{2022}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 5485,
"need_tools_kwargs": true,
"question": "Do Madhavan Mukund and Anita Kazai have the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 5486,
"need_tools_kwargs": true,
"question": "Determine the smallest positive integer $n$ such that $5^n\\equiv n^5\\pmod 3$.",
"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": "Irish Literary Revival",
"style": "rule"
} | {
"index": 5487,
"need_tools_kwargs": true,
"question": "What social movement was the co-editor of the works of William Blake a driving force of?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Carl Sanford Joslyn \"Sandy\" Petersen",
"style": "rule"
} | {
"index": 5488,
"need_tools_kwargs": true,
"question": "Ghostbusters was designed by which American game designer?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5489,
"need_tools_kwargs": true,
"question": "Given the points \\( A(1, 3), B(5, 4), C(3, 7), D(7, 1), E(10, 2), F(8, 6) \\), determine the equation of a line \\( l \\) that is parallel to the line segment \\( DF \\). The shortest distance from line \\( l \\) to any point inside (including the boundary) of triangle \\( ABC \\) must be equal to the shortest distance from line \\( l \\) to any point inside (including the boundary) of triangle \\( DEF \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 5490,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song The Folks Who Live On The Hill?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "The Vegas Diaries: Romance, Rolling the Dice, and the Road to Reinvention",
"style": "rule"
} | {
"index": 5491,
"need_tools_kwargs": true,
"question": "What is the name of the second book released by Bridget Marquardt's costar in The Telling?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Robert Earl Wise",
"style": "rule"
} | {
"index": 5492,
"need_tools_kwargs": true,
"question": "Who won more Academy Awards, David O. Russell or Robert Wise?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "2018",
"style": "rule"
} | {
"index": 5493,
"need_tools_kwargs": true,
"question": "When will Antonio Aakeel apear in a movie directed by Roar Ulthaug?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Creationism's Trojan Horse",
"style": "rule"
} | {
"index": 5494,
"need_tools_kwargs": true,
"question": "What is the title of the book co-written by this biologist and author known for \"Higher Superstition\" (1994) on the origins of intelligent design? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "91",
"style": "rule"
} | {
"index": 5495,
"need_tools_kwargs": true,
"question": "With all angles measured in degrees, the product $\\prod\\limits_{k=1}^{45} \\csc^2(2k-1)^\\circ=m^n$ , where $m$ and $n$ are integers greater than $1$. Find $m+n$ .",
"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": "12106",
"style": "rule"
} | {
"index": 5496,
"need_tools_kwargs": true,
"question": "Given a positive integer \\( n \\) (\\( n \\geqslant 6 \\)), let set \\( A \\) be composed of sums of any 5 consecutive positive integers not greater than \\( n \\), and let set \\( B \\) be composed of sums of any 6 consecutive positive integers not greater than \\( n \\). If the number of elements in the intersection of sets \\( A \\) and \\( B \\) is 2016, determine the maximum value of \\( n \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "The Blair Witch Project",
"style": "rule"
} | {
"index": 5497,
"need_tools_kwargs": true,
"question": "The rapper born Jeffrey Edward Atkins appeared in a parody film written by Dale Resteghini and loosely based on what 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... | qa | {
"ground_truth": "Nicholas Sparks",
"style": "rule"
} | {
"index": 5498,
"need_tools_kwargs": true,
"question": "What author provided a bases for one of James Garner's films?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\$50",
"style": "rule"
} | {
"index": 5499,
"need_tools_kwargs": true,
"question": "a shopkeeper sells 400 metres of cloth for $ 18000 at a loss of rs . 5 per metre . find his cost price for one metre of cloth ?",
"split": "train"
} | null |
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