data_source stringclasses 1
value | prompt listlengths 2 2 | ability stringclasses 2
values | reward_model dict | extra_info dict | metadata null |
|---|---|---|---|---|---|
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Maradhoo Feydhoo School",
"style": "rule"
} | {
"index": 9800,
"need_tools_kwargs": true,
"question": "What school is located in the southernmost atoll of the archipelago of the Maldives?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "875",
"style": "rule"
} | {
"index": 9801,
"need_tools_kwargs": true,
"question": "Find the unique 3 digit number $N=\\underline{A}$ $\\underline{B}$ $\\underline{C},$ whose digits $(A, B, C)$ are all nonzero, with the property that the product $P=\\underline{A}$ $\\underline{B}$ $\\underline{C}$ $\\times$ $\\underline{A}$ $\\underline{B}$ $\\times$ $\\underline{A}$ is divisible by $1000$ .\n\n*Proposed by Kyle Lee*",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Indonesian",
"style": "rule"
} | {
"index": 9802,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Malin Kundang (Film)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Lithuanian Jewish",
"style": "rule"
} | {
"index": 9803,
"need_tools_kwargs": true,
"question": "Jacques Rolland was a friend of a philosopher of which ancestry ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\"Blackway\"",
"style": "rule"
} | {
"index": 9804,
"need_tools_kwargs": true,
"question": "What is the name of a film featuring Ray Liotta and one of the stars of \"10 Things I Hate About You\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "y = -\\frac{5}{4}",
"style": "rule"
} | {
"index": 9805,
"need_tools_kwargs": true,
"question": "Find the equation of the directrix of the parabola given by the equation $y = \\frac{x^2 - 8x + 12}{16}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "novelist",
"style": "rule"
} | {
"index": 9806,
"need_tools_kwargs": true,
"question": "What profession does Nora Roberts and Elizabeth Hardwick 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": "0.9298",
"style": "rule"
} | {
"index": 9807,
"need_tools_kwargs": true,
"question": "For normal operation, the bus depot must have at least eight buses on the line, and currently, it has ten. The probability that each bus does not go on the line is 0.1. Find the probability of normal operation of the bus depot for the coming day.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9808,
"need_tools_kwargs": true,
"question": "Consider the equation $5 \\cdot p(x) + 6 \\cdot q(x) = r(x)$, where $p(x),$ $q(x),$ and $r(x)$ are polynomials. The degree of $p(x)$ is $10$, and the degree of $r(x)$ is $11$. What is the minimum possible degree of $q(x)$?",
"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... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"index": 9809,
"need_tools_kwargs": true,
"question": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "55",
"style": "rule"
} | {
"index": 9810,
"need_tools_kwargs": true,
"question": "Three balls are randomly and independently tossed into bins numbered with the positive integers such that for each ball, the probability it is tossed into bin $i$ is $2^{-i}$ for $i = 1, 2, 3, \\ldots$. More than one ball is allowed in each bin. The probability that the balls end up evenly spaced in distinct bins is $\\frac{p}{q}$, where $p$ and $q$ are relatively prime positive integers. (For example, the balls are evenly spaced if they are tossed into bins $3$, $17$, and $10$.) What is $p+q$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Michael Jeffrey Jordan",
"style": "rule"
} | {
"index": 9811,
"need_tools_kwargs": true,
"question": "Attack Athletics is owned by the personal trainer of which part-owner of the Miami Marlins?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "20 June 1837",
"style": "rule"
} | {
"index": 9812,
"need_tools_kwargs": true,
"question": "When did Lady Mary Fox's father die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "10-2n",
"style": "rule"
} | {
"index": 9813,
"need_tools_kwargs": true,
"question": "For an arithmetic sequence $\\{a_n\\}$ with a non-zero common difference, if $a_1^2+a_7^2=a_3^2+a_9^2$, and the sum of the first $n$ terms of $\\{a_n\\}$ is denoted as $s_n$, where $s_8=8$, then the general formula for $\\{a_n\\}$ is $a_n=$",
"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": "9\\sqrt{3}",
"style": "rule"
} | {
"index": 9814,
"need_tools_kwargs": true,
"question": "Equilateral triangle $DEF$ has each side equal to $9$. A circle centered at $Q$ is tangent to side $DE$ at $D$ and passes through $F$. Another circle, centered at $R$, is tangent to side $DF$ at $F$ and passes through $E$. Find the magnitude of segment $QR$.\nA) $12\\sqrt{3}$\nB) $9\\sqrt{3}$\nC) $15$\nD) $18$\nE) $9$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "165",
"style": "rule"
} | {
"index": 9815,
"need_tools_kwargs": true,
"question": "By expanding the expression \\((1 + \\sqrt{13})^{210}\\) using the binomial theorem, we obtain terms of the form \\(C_{210}^{k}(\\sqrt{13})^{k}\\). Find the value of \\(k\\) for which this term has the greatest 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": "9",
"style": "rule"
} | {
"index": 9816,
"need_tools_kwargs": true,
"question": "Find the integer $n$, $0 \\le n \\le 12$, that satisfies \\[n \\equiv -867 \\pmod{13}.\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9817,
"need_tools_kwargs": true,
"question": "Which country the director of film The Girl Of The Golden West (1923 Film) is from?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "D00224",
"style": "rule"
} | {
"index": 9818,
"need_tools_kwargs": true,
"question": "What is the KEGG of Allopurinol, a medication used to decrease high blood uric acid levels?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2006",
"style": "rule"
} | {
"index": 9819,
"need_tools_kwargs": true,
"question": "Universal Music Group, AKA Universal, released \"The Ultimate Collection\" in what year?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{61}{243}",
"style": "rule"
} | {
"index": 9820,
"need_tools_kwargs": true,
"question": "There are $4$ distinct codes used in an intelligence station, one of them applied in each week. No two codes used in two adjacent weeks are the same code. Knowing that code $A$ is used in the first week, find the probability that code $A$ is used in the seventh week.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9821,
"need_tools_kwargs": true,
"question": "Given points \\( A = (4,8) \\), \\( B = (2,2) \\), \\( C = (6,4) \\), and \\( D = (a,b) \\) which lie in the first quadrant, these points are the vertices of quadrilateral \\( ABCD \\). The quadrilateral formed by joining the midpoints of segments \\( \\overline{AB} \\), \\( \\overline{BC} \\), \\( \\overline{CD} \\), and \\( \\overline{DA} \\) is a rhombus. Determine the sum of the coordinates of point \\( 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": "yes",
"style": "rule"
} | {
"index": 9822,
"need_tools_kwargs": true,
"question": "Do both films: The Wild Girl (1917 film) and Bachelor Flat have the directors 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": "1986",
"style": "rule"
} | {
"index": 9823,
"need_tools_kwargs": true,
"question": "What is the birth year of the country artist/television personality that has had videos directed by Roman White?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9824,
"need_tools_kwargs": true,
"question": "Jack has some money in his piggy bank. He also gets an allowance of $10 a week. If Jack puts half of his allowance into his piggy bank every week, after 8 weeks he will have $83 in his piggy bank. How much money did Jack have in his piggy bank initially?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "56",
"style": "rule"
} | {
"index": 9825,
"need_tools_kwargs": true,
"question": "A total of \\( n \\) points are equally spaced around a circle and are labelled with the integers 1 to \\( n \\), in order. If the points labelled 7 and 35 are diametrically opposite, determine the value of \\( n \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "28 June 1855",
"style": "rule"
} | {
"index": 9826,
"need_tools_kwargs": true,
"question": "What is the date of death of Granville Gower Loch'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": "1500",
"style": "rule"
} | {
"index": 9827,
"need_tools_kwargs": true,
"question": "Cassandra sets her watch to the correct time at noon. At the actual time of $1:00$ PM, she notices that her watch reads $12:57$ and $36$ seconds. Assuming that her watch loses time at a constant rate, calculate the total time discrepancy in seconds between her watch and the actual time when her watch first reads $10:00$ PM. Please provide your answer as an integer representing the number of seconds.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "R + 12",
"style": "rule"
} | {
"index": 9828,
"need_tools_kwargs": true,
"question": "What is the CPVI of the district Maureen Reed announced her running for in 2010 but later withdrew? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "song",
"style": "rule"
} | {
"index": 9829,
"need_tools_kwargs": true,
"question": "What is Chicken Fried?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Empresa Mexicana de Lucha Libre",
"style": "rule"
} | {
"index": 9830,
"need_tools_kwargs": true,
"question": "What was the previous name of the professional wrestling promotion for which Ángel Azteca Jr currently works?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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. (-3,-2] \\cup [1,2)",
"style": "rule"
} | {
"index": 9831,
"need_tools_kwargs": true,
"question": "Given sets \\( A = \\left\\{ x \\mid x + \\frac{1}{2} \\geqslant \\frac{3}{2} \\right\\} \\) and \\( B = \\left\\{ x \\mid x^{2} + x < 6 \\right\\} \\), then \\( A \\cap B \\) is:\n\nA. \\([-3,-2) \\cup (1,2]\\)\n\nB. \\((-3,-2] \\cup (1,+\\infty)\\)\n\nC. \\((-3,-2] \\cup [1,2)\\)\n\nD. \\((-\\infty,-3] \\cup (1,2]\\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "96.42857\\pi",
"style": "rule"
} | {
"index": 9832,
"need_tools_kwargs": true,
"question": "A circular spinner for a game has a radius of 15 cm. There are two WIN sectors on this spinner, and the probability of landing on either WIN sector in one spin is $\\frac{3}{7}$. What is the total area, in square centimeters, of the WIN sectors combined? Express your answer in terms of $\\pi$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\left( -2, \\frac{1}{19} \\right)",
"style": "rule"
} | {
"index": 9833,
"need_tools_kwargs": true,
"question": "The matrix $\\mathbf{A} = \\begin{pmatrix} 2 & 3 \\\\ 5 & d \\end{pmatrix}$ satisfies\n\\[\\mathbf{A}^{-1} = k \\mathbf{A}\\]for some constant $k.$ Enter the ordered pair $(d,k).$",
"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": "no",
"style": "rule"
} | {
"index": 9834,
"need_tools_kwargs": true,
"question": "Are both Grawiede and Angren River 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{1}{8}",
"style": "rule"
} | {
"index": 9835,
"need_tools_kwargs": true,
"question": "Let \\( W, X, Y, \\) and \\( Z \\) be different digits selected from the set \\( \\{0, 1, 5, 6, 7, 8, 9\\} \\), with the condition that \\( X \\) and \\( Z \\) cannot be zero since they are denominators. Your task is to find the minimum possible value of the expression \\( \\dfrac{W}{X} + \\dfrac{Y}{Z} \\). Explain your reasoning and show your calculations.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "36",
"style": "rule"
} | {
"index": 9836,
"need_tools_kwargs": true,
"question": "The teacher wrote a positive number \\( x \\) on the board and asked Kolya, Petya, and Vasya to raise this number to the 4th, 5th, and 20th power, respectively. It turned out that Kolya's number has at least 8 digits before the decimal point, and Petya's number has no more than 9 digits before the decimal point. How many digits are there before the decimal point in Vasya's number?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 9837,
"need_tools_kwargs": true,
"question": "Are both bands, Edge Of Paradise and Avenged Sevenfold, 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": "21 June 2001",
"style": "rule"
} | {
"index": 9838,
"need_tools_kwargs": true,
"question": "What is the date of death of the composer of film Kanne Manasulu?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Belly",
"style": "rule"
} | {
"index": 9839,
"need_tools_kwargs": true,
"question": "Featuring Juaquin James Malphurs, better known as Waka Flocka Flame, Another Day in Paradise is a mixtape by which hip hop recording artist?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9840,
"need_tools_kwargs": true,
"question": "Were Ignacy Feliks Dobrzyński and Niels Diffrient of 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 \\sqrt{15}",
"style": "rule"
} | {
"index": 9841,
"need_tools_kwargs": true,
"question": "For the ellipse $16x^2 - 64x + y^2 + 4y + 4 = 0,$ find the distance between the foci.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "62 km",
"style": "rule"
} | {
"index": 9842,
"need_tools_kwargs": true,
"question": "The 1995 IBF World Championships were held in a city how far from Geneva?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 9843,
"need_tools_kwargs": true,
"question": "Do director of film Confessionsofa Ex-Doofus-ItchyFooted Mutha and director of film Border Bandits 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": "\\frac{1}{6}",
"style": "rule"
} | {
"index": 9844,
"need_tools_kwargs": true,
"question": "At the 2007 Math Olympics, Team Canada won 17 out of a possible 100 medals. Which one of the following is closest to the fraction of medals that they won?\n(A) $\\frac{1}{4}$\n(B) $\\frac{1}{5}$\n(C) $\\frac{1}{6}$\n(D) $\\frac{1}{7}$\n(E) $\\frac{1}{8}$",
"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": "215",
"style": "rule"
} | {
"index": 9845,
"need_tools_kwargs": true,
"question": "A total of 1000 people participated in the Beijing flood prevention on July 21, 2012, numbered as follows: 0001, 0002, 0003, ..., 1000. A sample of 50 will be drawn from this group using systematic sampling, divided into 50 parts. If the first part is numbered 0001, 0002, ..., 0020, and a random number 0015 is drawn from the first part, what is the 11th number drawn?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9846,
"need_tools_kwargs": true,
"question": "Are Oregon School For The Deaf and Chengdu Shude High School both located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "\"King of the Hill\"",
"style": "rule"
} | {
"index": 9847,
"need_tools_kwargs": true,
"question": "The director of \"The Office\" episode \"Test the Store\" worked as an executive producer for what series?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "NBA All-Rookie Team",
"style": "rule"
} | {
"index": 9848,
"need_tools_kwargs": true,
"question": "Which team did professional basketball player Tom Van Arsdale play for that began during the 1962-63 NBA season?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "14.4",
"style": "rule"
} | {
"index": 9849,
"need_tools_kwargs": true,
"question": "In triangle \\( ABC \\), the lengths of the sides are \\( AB = 15 \\), \\( AC = 12 \\), and \\( BC = 9 \\). A circle \\( P \\) is defined as the circle with the smallest radius that passes through point \\( C \\) and is tangent to side \\( AB \\). Let \\( Q \\) and \\( R \\) be the points where circle \\( P \\) intersects sides \\( AC \\) and \\( BC \\), respectively, distinct from point \\( C \\). Calculate the length of segment \\( QR \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "272",
"style": "rule"
} | {
"index": 9850,
"need_tools_kwargs": true,
"question": "A cubic polynomial \\( q(x) \\) satisfies \\( q(3) = 2, \\) \\( q(8) = 22, \\) \\( q(12) = 10, \\) and \\( q(17) = 32. \\) Find\n\\[\nq(2) + q(3) + q(4) + \\dots + q(18).\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": "Huizhou",
"style": "rule"
} | {
"index": 9851,
"need_tools_kwargs": true,
"question": "The Alcatel brand is used under license of the company headquartered in what city?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9852,
"need_tools_kwargs": true,
"question": "What nationality is the director of film The Honey Pot?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 9853,
"need_tools_kwargs": true,
"question": "Are director of film Passenger Pigeons (film) and director of film Matilda (1996 film) from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "96",
"style": "rule"
} | {
"index": 9854,
"need_tools_kwargs": true,
"question": "A special six-sided die has its faces numbered 1 through 6 and has the property that rolling each number \\( x \\) is \\( x \\) times as likely as rolling a 1. For example, the probability of rolling a 5 is 5 times the probability of rolling a 1, while the probability of rolling a 2 is 2 times the probability of rolling a 1. Robbie and Francine play a game where they each roll this die three times, and the total of their three rolls is their score. The winner is the player with the highest score; if the two players are tied, neither player wins. After two rolls each, Robbie has a score of 8 and Francine has a score of 10. The probability that Robbie will win can be written in lowest terms as \\(\\frac{r}{400+s}\\), where \\( r \\) and \\( s \\) are positive integers. What is the value of \\( r+s \\)? \n\n(A) 96 \n(B) 86 \n(C) 76 \n(D) 66 \n(E) 56",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 9855,
"need_tools_kwargs": true,
"question": "Are both movies, 1 a Minute and Horse Feathers, 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": "29MP",
"style": "rule"
} | {
"index": 9856,
"need_tools_kwargs": true,
"question": "What is the effective total pixel count of my Sigma DP1 Quattro?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 May 1983",
"style": "rule"
} | {
"index": 9857,
"need_tools_kwargs": true,
"question": "What is the date of death of Fatimah El-Sharif'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": "yes",
"style": "rule"
} | {
"index": 9858,
"need_tools_kwargs": true,
"question": "Are Changureh, Takestan and Gharqab, Razavi Khorasan 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": "390",
"style": "rule"
} | {
"index": 9859,
"need_tools_kwargs": true,
"question": "Marisela is putting on a juggling show! She starts with $1$ ball, tossing it once per second. Lawrence tosses her another ball every five seconds, and she always tosses each ball that she has once per second. Compute the total number of tosses Marisela has made one minute after she starts juggling.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Louis Gossett, Jr.",
"style": "rule"
} | {
"index": 9860,
"need_tools_kwargs": true,
"question": "Bess Armstrong appeared in a 1983 thriller film that was directed by Joe Alves and also stars Dennis Quaid, Lea Thompson, and who?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "8 April 1857",
"style": "rule"
} | {
"index": 9861,
"need_tools_kwargs": true,
"question": "What is the date of birth of Sir Robert Houston, 1St Baronet's wife?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9862,
"need_tools_kwargs": true,
"question": "Were Kayla Thornton and Klara Bramfeldt 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": "8 February 2016",
"style": "rule"
} | {
"index": 9863,
"need_tools_kwargs": true,
"question": "What is the date of death of Sylvia Cheeseman'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": "no",
"style": "rule"
} | {
"index": 9864,
"need_tools_kwargs": true,
"question": "Are the movies Bharthari (film) and Lilkee, 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": "Personal History",
"style": "rule"
} | {
"index": 9865,
"need_tools_kwargs": true,
"question": " What is the title of the memoir written by the honoree of the Black and White Ball?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "18",
"style": "rule"
} | {
"index": 9866,
"need_tools_kwargs": true,
"question": "Let $\\triangle ABC$ be a right triangle with right angle at $C.$ Let $D$ and $E$ be points on $\\overline{AB}$ with $D$ between $A$ and $E$ such that $\\overline{CD}$ and $\\overline{CE}$ trisect $\\angle C.$ If $\\frac{DE}{BE} = \\frac{8}{15},$ then $\\tan B$ can be written as $\\frac{m \\sqrt{p}}{n},$ where $m$ and $n$ are relatively prime positive integers, and $p$ is a positive integer not divisible by the square of any prime. Find $m+n+p.$",
"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": "Russia",
"style": "rule"
} | {
"index": 9867,
"need_tools_kwargs": true,
"question": "Where was the songwriter who wrote the songs for the album \"Song Hits from Holiday Inn\" 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": "Berea College",
"style": "rule"
} | {
"index": 9868,
"need_tools_kwargs": true,
"question": "James Fieser received his B.A. from what liberal arts work college that was founded in 1855?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "864 CE",
"style": "rule"
} | {
"index": 9869,
"need_tools_kwargs": true,
"question": "Fuji Five Lakes (富士五湖 , Fuji-goko ) is the name of the area located at the base of Mount Fuji in the Yamanashi Prefecture of Japan, a point of interest is Aokigahara Jukai Forest, Aokigahara (青木ヶ原 ) , also known as the Suicide Forest or Sea of Tree, is a forest on the northwestern flank ,of Japan's Mount Fuji thriving on 30 square kilometers (12 square miles) of hardened lava laid down by the last major eruption of Mount Fuji in what year?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "stand up comic",
"style": "rule"
} | {
"index": 9870,
"need_tools_kwargs": true,
"question": "Benjamin Saunders (born April 13, 1983), is an American mixed martial artist who currently fights in the Welterweight division of the UFC he was on fighting on Team Serra, Matthew John Serra (born June 2, 1974) is an American former professional mixed martial artist, Brazilian Jiu-Jitsu practitioner who competed for the Ultimate Fighting Championship and which occupation?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Neil Gooding",
"style": "rule"
} | {
"index": 9871,
"need_tools_kwargs": true,
"question": "Edwin Gagiano won Best Actor Award as Alf Bueller in a show written by who?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "6810",
"style": "rule"
} | {
"index": 9872,
"need_tools_kwargs": true,
"question": "A circle is inscribed in a right triangle. The point of tangency divides the hypotenuse in the ratio 2:3. Find the sides of the triangle if the center of the inscribed circle is at a distance of \\(\\sqrt{8}\\) cm from the right-angle vertex.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Betty Bolton",
"style": "rule"
} | {
"index": 9873,
"need_tools_kwargs": true,
"question": "Who was born earlier, Alex Laird or Betty Bolton?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "772",
"style": "rule"
} | {
"index": 9874,
"need_tools_kwargs": true,
"question": "Let \\( p \\) and \\( q \\) be positive integers such that \\( \\frac{5}{8} < \\frac{p}{q} < \\frac{7}{8} \\). What is the smallest value of \\( p \\) so that \\( p + q = 2005 \\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "William the Bastard",
"style": "rule"
} | {
"index": 9875,
"need_tools_kwargs": true,
"question": "What nickname was sometimes applied to the King who signed a treaty with the men of Kent at the site of Stone Castle ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9876,
"need_tools_kwargs": true,
"question": "Does Petko Voyvoda have the same nationality as Marcus Browne?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "privately governed",
"style": "rule"
} | {
"index": 9877,
"need_tools_kwargs": true,
"question": "What do FPT University in Vietnam and University of Delaware 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... | qa | {
"ground_truth": "Terre Haute Federal Correctional Complex",
"style": "rule"
} | {
"index": 9878,
"need_tools_kwargs": true,
"question": "What is the name of the complex where Aldrich Hazen Ames is serving a life sentence?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "The correct answer is **B**.",
"style": "rule"
} | {
"index": 9879,
"need_tools_kwargs": true,
"question": "Let $h(x)$ be a polynomial with the leading coefficient $1$, whose four roots are the negatives of the four roots of $f(x) = x^4 + px^3 + qx^2 + rx + s$. Determine $h(-1)$ in terms of $p, q, r,$ and $s$.\nA. $p + q + r + s$ \nB. $p - q + r - s$ \nC. $-p + q - r + s$ \nD. $p + q - r + s$ \nE. $-p - q + r + s$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "There\\ is\\ no\\ value\\ of\\ v_0\\ such\\ that\\ x_0 = 0",
"style": "rule"
} | {
"index": 9880,
"need_tools_kwargs": true,
"question": "A marble rolls on a horizontal table with a speed $v_0$ . The marble bounces elastically in a vertical cut at a horizontal distance $D$ from the edge of the table. After hitting the ground the marble will record a $x_0$ distance to the edge of the table. $a)$ Determine the equations for horizontal and vertical motion in function of time before hitting the wall. $b)$ Determine the height of the marble at the time of the collision. $c)$ Determine the vertical speed at the instant of the collision. $d)$ Determine the value of $v_0$ for which $x_0 = 0$ *Proposed by Danilo Molina, Colon*",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Microsoft Windows",
"style": "rule"
} | {
"index": 9881,
"need_tools_kwargs": true,
"question": "Taehoon Oh is a lead artist and was one of the pioneer developers of a game that began on which console ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "0.328",
"style": "rule"
} | {
"index": 9882,
"need_tools_kwargs": true,
"question": "In a joint-stock company, there are 2017 shareholders, and any group of 1500 of them has a controlling stake (at least 50% of the shares). What is the maximum share of the company that one shareholder can own?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Mr. Church",
"style": "rule"
} | {
"index": 9883,
"need_tools_kwargs": true,
"question": "What 2016 film stars actor Xavier Samuel and an actress who portrayed Vasilisa Dragomir in the film \"Vampire Academy\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "0.152",
"style": "rule"
} | {
"index": 9884,
"need_tools_kwargs": true,
"question": "Alex needs to catch a train. The train arrives randomly some time between 1:00 and 2:00, waits for 10 minutes, and then leaves. If Alex also arrives randomly between 1:00 and 2:00, what is the probability that the train will be there when Alex arrives?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Charleston",
"style": "rule"
} | {
"index": 9885,
"need_tools_kwargs": true,
"question": "Which city has a population of 2,198 and is located 14 miles from Tippo, Mississippi?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "thirteen women's sports",
"style": "rule"
} | {
"index": 9886,
"need_tools_kwargs": true,
"question": "How many women's sports teams does the oldest higher education institution on San Diego County support at the varsity level?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "97",
"style": "rule"
} | {
"index": 9887,
"need_tools_kwargs": true,
"question": "$ABCD$ is a rectangle with $AB = 15$ and $BC = 20$, and it serves as the base of pyramid $P$ with a height of $30$. A plane parallel to $ABCD$ cuts through $P$, forming a frustum $F$ and a smaller pyramid $P'$. Let $X$ denote the center of the circumsphere of $F$, and let $T$ denote the apex of $P$. If the volume of $P$ is nine times that of $P'$, compute the value of $XT$, expressed as $\\frac{m}{n}$ where $m$ and $n$ are relatively prime positive integers, and then find the value of $m + n$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "257889",
"style": "rule"
} | {
"index": 9888,
"need_tools_kwargs": true,
"question": "Find the least positive integer such that the product of its digits is $8! = 8 \\cdot 7 \\cdot6 \\cdot 5 \\cdot 4 \\cdot 3 \\cdot 2 \\cdot 1$.",
"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": "18",
"style": "rule"
} | {
"index": 9889,
"need_tools_kwargs": true,
"question": "(12 points) A workshop has a total of 12 workers and needs to equip two types of machines. Each type A machine requires 2 people to operate, consumes 30 kilowatt-hours of electricity per day, and can produce products worth 40,000 yuan; each type B machine requires 3 people to operate, consumes 20 kilowatt-hours of electricity per day, and can produce products worth 30,000 yuan. Now, the daily electricity supply to the workshop is no more than 130 kilowatt-hours. How should the workshop equip these two types of machines to maximize the daily output value? What is the maximum output value in ten thousand yuan?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9890,
"need_tools_kwargs": true,
"question": "Liam is pulled over for speeding just as he is arriving at work. He explains to the police officer that he could not afford to be late today, and has arrived at work only four minutes before he is to start. The officer explains that if Liam had driven a certain speed slower for his whole commute, he would have arrived at work exactly on time. Liam's commute is 40 miles long, and he was actually driving at a constant speed of 60 mph. How many mph slower should Liam have driven to arrive at work exactly on time?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{1716}{4096}",
"style": "rule"
} | {
"index": 9891,
"need_tools_kwargs": true,
"question": "Find constants $b_1, b_2, b_3, b_4, b_5, b_6, b_7$ such that\n\\[\n\\cos^7 \\theta = b_1 \\cos \\theta + b_2 \\cos 2 \\theta + b_3 \\cos 3 \\theta + b_4 \\cos 4 \\theta + b_5 \\cos 5 \\theta + b_6 \\cos 6 \\theta + b_7 \\cos 7 \\theta\n\\]\nfor all angles $\\theta$, and compute $b_1^2 + b_2^2 + b_3^2 + b_4^2 + b_5^2 + b_6^2 + b_7^2$.",
"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": "12_5",
"style": "rule"
} | {
"index": 9892,
"need_tools_kwargs": true,
"question": "If $S$, $H$, and $E$ are all distinct non-zero digits less than $5$ and the following is true, find the sum of the three values $S$, $H$, and $E$, expressing your answer in base $5$. $$\\begin{array}{c@{}c@{}c@{}c} &S&H&E_5\\\\ &+&H&E_5\\\\ \\cline{2-4} &S&E&S_5\\\\ \\end{array}$$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{2}+\\sqrt{3}",
"style": "rule"
} | {
"index": 9893,
"need_tools_kwargs": true,
"question": "Given \\( x > 0 \\) and \\( y > 0 \\),\n\nand \\( \\frac{1}{2x + y} + \\frac{1}{y + 1} = 1 \\), find the minimum value of \\( x + 2y \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9894,
"need_tools_kwargs": true,
"question": "Do William Cattley and Hugh Mackay, 14Th Lord Reay 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": "bisexual",
"style": "rule"
} | {
"index": 9895,
"need_tools_kwargs": true,
"question": "In the animal kingdom what type of sexuality is described as sexual behavior toward both male and females?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 9896,
"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": "30 August 1979",
"style": "rule"
} | {
"index": 9897,
"need_tools_kwargs": true,
"question": "On what date, month, and year was Alyaksandr Buloychyk, a professional footballer, 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": "American",
"style": "rule"
} | {
"index": 9898,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Our Latin Thing?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Sainik School",
"style": "rule"
} | {
"index": 9899,
"need_tools_kwargs": true,
"question": "Where did the director of film Malliswari (2004 Film) study?",
"split": "train"
} | null |
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