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": "CBS",
"style": "rule"
} | {
"index": 5500,
"need_tools_kwargs": true,
"question": "On which network did Paul Dellegatto get his broadcast meteorology start?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Disney's Animal Kingdom in the Walt Disney World Resort.",
"style": "rule"
} | {
"index": 5501,
"need_tools_kwargs": true,
"question": "The Jungle Book: Alive with magic and Rivers Of Light are both nighttime shows at?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "May 29, 1942",
"style": "rule"
} | {
"index": 5502,
"need_tools_kwargs": true,
"question": "What is the date of death of Katherine Corri Harris'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": "Hungarian",
"style": "rule"
} | {
"index": 5503,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Pontiac Moon?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 5504,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song Even Now (Bob Seger 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": "Patricia Helen \"Pat\" Kennedy Lawford",
"style": "rule"
} | {
"index": 5505,
"need_tools_kwargs": true,
"question": "What sister of a longtime Senator from Massachusetts married Peter Lawford?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "9.42",
"style": "rule"
} | {
"index": 5506,
"need_tools_kwargs": true,
"question": "In triangle $ABC$, $AB = 9$, $BC = 12$, $AC = 15$, and $CD$ is the angle bisector. Find the length of $CD$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "June 19, 1981",
"style": "rule"
} | {
"index": 5507,
"need_tools_kwargs": true,
"question": "When did the director of film A Whirlwind Of Whiskers die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Elena of Montenegro",
"style": "rule"
} | {
"index": 5508,
"need_tools_kwargs": true,
"question": "When Violet Wegner became HRH Princess Pierre of Montenegro, who was her sister-in-law?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "2001",
"style": "rule"
} | {
"index": 5509,
"need_tools_kwargs": true,
"question": "What year did the host prior to Alyssa Milano on Project Runway All Stars, appear in the film \"CQ?\"",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5510,
"need_tools_kwargs": true,
"question": "Determine the range of $w(w + x)(w + y)(w + z)$ , where $x, y, z$ , and $w$ are real numbers such that\n\\[x + y + z + w = x^7 + y^7 + z^7 + w^7 = 0.\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "$\\frac{12}{5}$",
"style": "rule"
} | {
"index": 5511,
"need_tools_kwargs": true,
"question": "In right triangle $ABC$ with $\\angle A = 90^\\circ$, $AC = 3$, $AB = 4$, and $BC = 5$, point $D$ is on side $BC$. If the perimeters of $\\triangle ACD$ and $\\triangle ABD$ are equal, then what is the area of $\\triangle ABD$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5512,
"need_tools_kwargs": true,
"question": "Compute the number of positive integers $n$ satisfying the inequalities\n\\[\n2^{n-1} < 5^{n-3} < 3^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... | qa | {
"ground_truth": "Carter Bays and Craig Thomas",
"style": "rule"
} | {
"index": 5513,
"need_tools_kwargs": true,
"question": "Who created the American sitcom which \"Nothing Good Happens After 2 A.M.\" is the 18th episode in the first season 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": "yes",
"style": "rule"
} | {
"index": 5514,
"need_tools_kwargs": true,
"question": "Are the directors of both films The Crime Doctor'S Courage and Devil-May-Care 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": "Lumbini",
"style": "rule"
} | {
"index": 5515,
"need_tools_kwargs": true,
"question": "Imiliya is a town located in what pilgrimage site?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "9001800",
"style": "rule"
} | {
"index": 5516,
"need_tools_kwargs": true,
"question": "The houses of Andrey, Borya, Vova, and Gleb are located in some order on a straight street. The distance between Andrey's house and Borya's house, as well as the distance between Vova's house and Gleb's house, is 600 meters. What can be the distance between Andrey's house and Gleb's house in meters, if it is known that this distance is 3 times the distance between Borya's house and Vova's house? List all possible options.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Skylar Dunn",
"style": "rule"
} | {
"index": 5517,
"need_tools_kwargs": true,
"question": "who plays charity as a kid in the greatest showman",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 September 1933",
"style": "rule"
} | {
"index": 5518,
"need_tools_kwargs": true,
"question": "When did Mabel Besant-Scott's mother die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{9}{10}",
"style": "rule"
} | {
"index": 5519,
"need_tools_kwargs": true,
"question": "In a Cartesian coordinate system \\(xy\\), consider an ellipse \\(\\Gamma: \\frac{x^{2}}{9}+y^{2}=1\\) and a rhombus \\(ABCD\\) where points \\(A\\), \\(B\\), \\(C\\), and \\(D\\) lie on the ellipse \\(\\Gamma\\). The diagonals \\(AC\\) and \\(BD\\) intersect at the origin \\(O\\).\n\n1. Determine the minimum possible area of the rhombus \\(ABCD\\).\n\n2. Investigate whether there exists a specific circle that is tangent to any rhombus \\(ABCD\\) that meets the given conditions. If such a circle exists, find its equation; if not, explain why.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5520,
"need_tools_kwargs": true,
"question": "Consider the set \\( H \\) defined by the points \\( (x,y) \\) with integer coordinates such that \\( 2 \\leq |x| \\leq 8 \\) and \\( 2 \\leq |y| \\leq 8 \\). Determine how many squares of side length at least 5 can be formed with their four vertices located in the set \\( H \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "9/10",
"style": "rule"
} | {
"index": 5521,
"need_tools_kwargs": true,
"question": "A bag consists of 50 marbles, of which 5 are blue, 9 are red, and the remainder are white. If Lisa is to select a marble from the bag at random, what is the probability that the marble will be red or 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": "\\frac{1000}{9}",
"style": "rule"
} | {
"index": 5522,
"need_tools_kwargs": true,
"question": "(1) Given that \\( a > 0 \\) and \\( b > 0 \\), and \\( a + b = 1 \\), find the minimum value of \\(\\left(a + \\frac{1}{a^{2}}\\right)^{2} + \\left(b + \\frac{1}{b^{2}}\\right)^{2}\\). Also, find the maximum value of \\(\\left(a + \\frac{1}{a}\\right)\\left(b + \\frac{1}{b}\\right)\\).\n\n(2) Given that \\( a > 0 \\), \\( b > 0 \\), and \\( c > 0 \\), and \\( a + b + c = 1 \\), find the minimum value of \\( u = \\left(a + \\frac{1}{a}\\right)^{3} + \\left(b + \\frac{1}{b}\\right)^{3} + \\left(c + \\frac{1}{c}\\right)^{3} \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "17",
"style": "rule"
} | {
"index": 5523,
"need_tools_kwargs": true,
"question": "Inside the cube $A B C D A_{1} B_{1} C_{1} D_{1}$ is the center $O$ of a sphere with a radius of 10. The sphere intersects the face $A A_{1} D_{1} D$ by a circle with a radius of 1, the face $A_{1} B_{1} C_{1} D_{1}$ by a circle with a radius of 1, and the face $C D D_{1} C_{1}$ by a circle with a radius of 3. Find the length of the segment $O D_{1}$.",
"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": "1139.71",
"style": "rule"
} | {
"index": 5524,
"need_tools_kwargs": true,
"question": "A woman buys a property for $150,000 with a goal to achieve a $7\\%$ annual return on her investment. She sets aside $15\\%$ of each month's rent for maintenance costs, and pays property taxes at $0.75\\%$ of the property's value each year. Calculate the monthly rent she needs to charge to meet her financial goals.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{6}}{3}",
"style": "rule"
} | {
"index": 5525,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=2\\sin ωx\\cdot\\cos ωx+2A\\cos ^{2}ωx-A$ (where $A > 0$, $ω > 0$) with a minimum positive period of $π$ and a maximum value of $2$.\n\n(I) Find the values of $A$ and $ω$;\n\n(II) Given $\\frac{π}{6} < θ < \\frac{π}{3}$ and $f(θ)= \\frac{2}{3}$, find the value of $f(\\frac{π}{3} -θ)$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "25",
"style": "rule"
} | {
"index": 5526,
"need_tools_kwargs": true,
"question": "Four boys, \\( A, B, C, \\) and \\( D \\) made three statements each about the same number \\( x \\). Each of them has at least one statement that is true, but also at least one statement that is false. Given the following statements, determine whether \\( x \\) can be identified:\n\n- \\( A \\):\n 1. The reciprocal of \\( x \\) is not less than 1.\n 2. The decimal representation of \\( x \\) does not contain the digit 6.\n 3. The cube of \\( x \\) is less than 221.\n\n- \\( B \\):\n 4. \\( x \\) is an even number.\n 5. \\( x \\) is a prime number.\n 6. \\( x \\) is an integer multiple of 5.\n\n- \\( C \\):\n 7. \\( x \\) cannot be expressed as a ratio of two integers.\n 8. \\( x \\) is less than 6.\n 9. \\( x \\) is a square of a natural number.\n\n- \\( D \\):\n 10. \\( x \\) is greater than 20.\n 11. \\( x \\) is positive, and its base-10 logarithm is at least 2.\n 12. \\( x \\) is not less than 10.\n\nWhat is 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... | math | {
"ground_truth": "245",
"style": "rule"
} | {
"index": 5527,
"need_tools_kwargs": true,
"question": "A difficult question from the field of poultry farming. Three chicks and one duck are sold for the same amount as two geese, and one more chick, two ducks, and three geese are sold together for 25 dollars. How much does each bird cost if the prices are expressed in whole number dollars?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5528,
"need_tools_kwargs": true,
"question": "Erin the ant starts at a given corner of a cube and crawls along exactly 7 edges in such a way that she visits every corner exactly once and then finds that she is unable to return along an edge to her starting point. How many paths are there meeting these conditions?\n$\\textbf{(A) }\\text{6}\\qquad\\textbf{(B) }\\text{9}\\qquad\\textbf{(C) }\\text{12}\\qquad\\textbf{(D) }\\text{18}\\qquad\\textbf{(E) }\\text{24}$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Santa Monica",
"style": "rule"
} | {
"index": 5529,
"need_tools_kwargs": true,
"question": "Where did the director of film Guns And Guitars die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Keegan-Michael Key",
"style": "rule"
} | {
"index": 5530,
"need_tools_kwargs": true,
"question": "Who is this American actor, comedian, writer, and producer who appeared in \"Playing House\" (2014–present) and the American comedy film \"Win It All?\"",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5531,
"need_tools_kwargs": true,
"question": "The number 1 is written on the board. If the number \\( a \\) is written on the board, it can be replaced with any number of the form \\( a + d \\), where \\( d \\) is coprime with \\( a \\) and \\( 10 \\leq d \\leq 20 \\). Can the number \\( 18! = 1 \\cdot 2 \\cdot 3 \\cdot \\ldots \\cdot 18 \\) be obtained on the board after several such operations?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 5532,
"need_tools_kwargs": true,
"question": "Are Chubdar-E Pain and Mimainiai both located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\$100",
"style": "rule"
} | {
"index": 5533,
"need_tools_kwargs": true,
"question": "Peggy is moving and is looking to get rid of her record collection. Sammy says that he will buy all of them for 4 dollars each. Bryan is only interested in half of the records but will offer 6 dollars each for the half that he is interested in and 1 dollar each for the remaining half that he is not interested in with the hopes that he can resell them in bulk later. If Peggy has 200 records, what is the difference in profit between Sammy versus Bryan's deal?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Iran",
"style": "rule"
} | {
"index": 5534,
"need_tools_kwargs": true,
"question": "Beth Quist can play the national musical instrument of what 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": "Bavaria",
"style": "rule"
} | {
"index": 5535,
"need_tools_kwargs": true,
"question": "Where is the origination of the beer that is similar to most of Austria's beer?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "13",
"style": "rule"
} | {
"index": 5536,
"need_tools_kwargs": true,
"question": "A $3 \\times 6$ grid is filled with the numbers in the list $\\{1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9\\}$ according to the following rules: \n\n1. Both the first three columns and the last three columns contain the integers 1 through 9. \n2. No numbers appear more than once in a given row. \n\nLet $N$ be the number of ways to fill the grid and let $k$ be the largest positive integer such that $2^k$ divides $N$. What is $k$?",
"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": "2 + 3 \\sqrt{2}",
"style": "rule"
} | {
"index": 5537,
"need_tools_kwargs": true,
"question": "Let $p,$ $q,$ $r,$ $s$ be real numbers such that $p +q + r + s = 8$ and\n\\[pq + pr + ps + qr + qs + rs = 12.\\]Find the largest possible value of $s.$",
"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... | qa | {
"ground_truth": "more than sixty years",
"style": "rule"
} | {
"index": 5538,
"need_tools_kwargs": true,
"question": "How long did the career span last for what English actress who starred in the British stage play The Deep Blue Sea?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Ghost Town Law",
"style": "rule"
} | {
"index": 5539,
"need_tools_kwargs": true,
"question": "Which film has the director who was born earlier, Ghost Town Law or Fate (2001 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": "27 March 1972",
"style": "rule"
} | {
"index": 5540,
"need_tools_kwargs": true,
"question": "What is the birthdate of this Dutch former professional footballer and current manager, who is the younger brother of Carlos Hasselbaink?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 5541,
"need_tools_kwargs": true,
"question": "What nationality is the composer of film Vampire Noir?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5542,
"need_tools_kwargs": true,
"question": "Determine the distinct digits \\(A\\) and \\(B\\) such that the following multiplication holds: \\(A \\cdot \\overline{AB} = \\overline{BAA}\\) (in decimal system).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Dave Hughes",
"style": "rule"
} | {
"index": 5543,
"need_tools_kwargs": true,
"question": "Who co-hosts a radio show on the KIIS Network with a radio announcer for the programme \"Breakfasters\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 5544,
"need_tools_kwargs": true,
"question": "Do both films, Bollywood Beats and Rodney Steps In, have the directors who are from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "112",
"style": "rule"
} | {
"index": 5545,
"need_tools_kwargs": true,
"question": "Given that $x$ is a multiple of $54896$, find the greatest common divisor of $f(x)=(5x+4)(9x+7)(11x+3)(x+12)$ and $x$.",
"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": "62",
"style": "rule"
} | {
"index": 5546,
"need_tools_kwargs": true,
"question": "Let $ABCD$ be a convex quadrilateral inscribed in a circle with $AC = 7$, $AB = 3$, $CD = 5$, and $AD - BC = 3$. Then $BD = \\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. 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... | qa | {
"ground_truth": "17 July 1919",
"style": "rule"
} | {
"index": 5547,
"need_tools_kwargs": true,
"question": "When was the composer of film Hamari Yaad Aayegi 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": 5548,
"need_tools_kwargs": true,
"question": "Given that $p$ and $q$ are rational numbers, and $x = \\frac{\\sqrt{5}-1}{2}$ satisfies the equation $x^{3} + p x + q = 0$. Determine the value of $p + q$.\n\n(A) -1 \n(B) 1 \n(C) -3 \n(D) 3",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "7.5^\\circ",
"style": "rule"
} | {
"index": 5549,
"need_tools_kwargs": true,
"question": "At 3:15 p.m., how many degrees are in the smaller angle formed by the minute hand and the hour hand of the clock?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 5550,
"need_tools_kwargs": true,
"question": "Are Softartisans and Nobiskrug 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": "Atlanta Falcons",
"style": "rule"
} | {
"index": 5551,
"need_tools_kwargs": true,
"question": "What NFL team does the 2010 Washington Huskies head coach work for?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\{x \\mid -3 < x < \\frac{1}{2}\\}",
"style": "rule"
} | {
"index": 5552,
"need_tools_kwargs": true,
"question": "Given the solution set of the quadratic inequality about $x$, $ax^{2}+bx+c > 0$, is $(-\\frac{1}{3},2)$, determine the solution set of the inequality about $x$, $cx^{2}+bx+a < 0$.\n\nA: $(-2, \\frac{1}{3})$\nB: $(-3, \\frac{1}{2})$\nC: $(-\\infty,-3) \\cup (\\frac{1}{2},+\\infty)$\nD: $(-\\infty,-2) \\cup (\\frac{1}{3},+\\infty)$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Quarrel",
"style": "rule"
} | {
"index": 5553,
"need_tools_kwargs": true,
"question": "Which film has the director who was born later, The Quarrel or Two Arrows. Stone Age Detective?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 5554,
"need_tools_kwargs": true,
"question": "Does Henry Chapman (New South Wales Politician) have the same nationality as Phil Free?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "screenwriter and film director",
"style": "rule"
} | {
"index": 5555,
"need_tools_kwargs": true,
"question": "What do Robert G. Vignola and Vincent Kok Tak-Chiu 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": "412",
"style": "rule"
} | {
"index": 5556,
"need_tools_kwargs": true,
"question": "The smallest four two-digit primes are written in different squares of a \\(2 \\times 2\\) table. The sums of the numbers in each row and column are calculated. Two of these sums are 24 and 28. The other two sums are \\(c\\) and \\(d\\), where \\(c<d\\). What is the value of \\(5c + 7d\\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5557,
"need_tools_kwargs": true,
"question": "Chloe chooses a real number uniformly at random from the interval $[0, 1000]$, and independently, Laurent chooses a real number uniformly at random from the interval $[0, 3000]$. Determine the probability that the sum of the numbers chosen by Chloe and Laurent is less than 2500.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Silent Watcher",
"style": "rule"
} | {
"index": 5558,
"need_tools_kwargs": true,
"question": "Which film has the director born earlier, The Silent Watcher or Are We Ok??",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"index": 5559,
"need_tools_kwargs": true,
"question": "Pentagon \\(ABCDE\\) is inscribed in a circle such that \\(ACDE\\) is a square with an area of \\(12\\). What is the largest possible area of pentagon \\(ABCDE\\)? The original answer is in the form of \\(k + m\\sqrt{2}\\). Please provide the value of \\(k + m\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Nick Saglimbeni",
"style": "rule"
} | {
"index": 5560,
"need_tools_kwargs": true,
"question": "Who has photographed commercial campaigns for an organization which aims to stop human or animal suffering?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Chief",
"style": "rule"
} | {
"index": 5561,
"need_tools_kwargs": true,
"question": "What is the nickname for the founder of the independent semi-professional American football team J.P. Rooneys?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5562,
"need_tools_kwargs": true,
"question": "给定整数 n\\geq 2. 设 a_1,a_2,\\cdots,a_n 是整数，其中 a_1=1，记 f(x)=\\sum_{m=1}^{n} a_m m^x。已知对 K 个连续正整数 x 有 f(x)=0，求 K 的最大可能值。答案的形式为 n-k，请给出 k 的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Ranulf de Blondeville, 6th Earl of Chester and 1st Earl of Lincoln",
"style": "rule"
} | {
"index": 5563,
"need_tools_kwargs": true,
"question": "Margaret of Huntingdon (died before 1228) was the eldest daughter of David, Earl of Huntingdon (died 1219) and his wife, Maud (died 1233), sister of which earl that died in 1232, was one of the \"old school\" of Anglo-Norman barons whose loyalty to the Angevin dynasty was consistent but contingent on the receipt of lucrative favours? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "5urprise",
"style": "rule"
} | {
"index": 5564,
"need_tools_kwargs": true,
"question": "Splendid Politics, is a 2015 South Korean television series, stars included in the film is which South Korean actor and singer, who is a member of which 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": "24 January 76",
"style": "rule"
} | {
"index": 5565,
"need_tools_kwargs": true,
"question": "Dionysius Periegetes was lived around the time of a roman emperor who was born on which 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... | qa | {
"ground_truth": "James Lee Keltner",
"style": "rule"
} | {
"index": 5566,
"need_tools_kwargs": true,
"question": "What Little Village member was characterized as \"the leading session drummer in America\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 January 1969",
"style": "rule"
} | {
"index": 5567,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Mexican Spitfire'S Blessed Event?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "December 1, 1926",
"style": "rule"
} | {
"index": 5568,
"need_tools_kwargs": true,
"question": "When was George Gaynes's wife 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": "Inga Nielsen",
"style": "rule"
} | {
"index": 5569,
"need_tools_kwargs": true,
"question": "Who starred in the political-satirical opera \"Rise and Fall of the City of Mahagonny\" and was born in 1946?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2345",
"style": "rule"
} | {
"index": 5570,
"need_tools_kwargs": true,
"question": "Determine all the integers \\( n > 1 \\) such that\n$$\n\\sum_{i=1}^{n} x_{i}^{2} \\geq x_{n} \\sum_{i=1}^{n-1} x_{i}\n$$\nfor all real numbers \\( x_{1}, x_{2}, \\ldots, x_{n} \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "198",
"style": "rule"
} | {
"index": 5571,
"need_tools_kwargs": true,
"question": "Joe went on a diet 3 months ago when he weighed 222 pounds. He now weighs a certain amount and continues to lose at the same average monthly rate. In approximately 3.5 months, he will weigh 170 pounds. What is Joe's current weight?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "over 700",
"style": "rule"
} | {
"index": 5572,
"need_tools_kwargs": true,
"question": "How many member growers does the cooperative that Steve Wayne did commercials for have?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Sonic Youth",
"style": "rule"
} | {
"index": 5573,
"need_tools_kwargs": true,
"question": "What New York City rock band, formed in 1981, has Braden King made videos for?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-\\frac{1}{2}",
"style": "rule"
} | {
"index": 5574,
"need_tools_kwargs": true,
"question": "Solve the system of equations:\n\n$$\n\\left\\{\\begin{array}{l}\n2x^{2} + 3y + 5 = 2 \\sqrt{2z + 5} \\\\\n2y^{2} + 3z + 5 = 2 \\sqrt{2x + 5} \\\\\n2z^{2} + 3x + 5 = 2 \\sqrt{2y + 5}\n\\end{array}\\right.\n$$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "John Joseph Phelan Jr.",
"style": "rule"
} | {
"index": 5575,
"need_tools_kwargs": true,
"question": "Who was the chief executive of the New York Stock Exchange during Black Monday, which was when stock markets around the world crashed?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Chinese",
"style": "rule"
} | {
"index": 5576,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Lease 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... | math | {
"ground_truth": "23",
"style": "rule"
} | {
"index": 5577,
"need_tools_kwargs": true,
"question": "Let $P(x)$ be a polynomial with rational coefficients such that when $P(x)$ is divided by the polynomial $x^2 + x + 1$, the remainder is $x+2$, and when $P(x)$ is divided by the polynomial $x^2+1$, the remainder is $2x+1$. There is a unique polynomial of least degree with these two properties. Find the sum of the squares of the coefficients of that polynomial.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 January 2016",
"style": "rule"
} | {
"index": 5578,
"need_tools_kwargs": true,
"question": "What is the date of death of the performer of song Velvet Goldmine (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": "14 March 1918",
"style": "rule"
} | {
"index": 5579,
"need_tools_kwargs": true,
"question": "When is the composer of film Sruthilayalu 's birthday?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-8, -4",
"style": "rule"
} | {
"index": 5580,
"need_tools_kwargs": true,
"question": "If $\\left\\lfloor n^2/3 \\right\\rfloor - \\lfloor n/3 \\rfloor^2 = 3$, then find all integer values 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": "27 June 2002",
"style": "rule"
} | {
"index": 5581,
"need_tools_kwargs": true,
"question": "What is the date of death of the performer of song I Believe In Everything (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... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"index": 5582,
"need_tools_kwargs": true,
"question": "We say that a pile is a set of four or more nuts. Two persons play the following game. They start with one pile of $n \\geq 4$ nuts. During a move, a player takes one of the piles that they have and splits it into two nonempty sets (these sets are not necessarily piles, they can contain an arbitrary number of nuts). If the player cannot move, he loses. The original answer is in the form n \\equiv k, m, n \\pmod{x}. Please find the value of k + m + n + 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": "Jeffrey Charles \"Jeff\" Ragsdale",
"style": "rule"
} | {
"index": 5583,
"need_tools_kwargs": true,
"question": "Which author is also a comedian, Padmarajan or Jeff Ragsdale?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2\\sqrt{10}",
"style": "rule"
} | {
"index": 5584,
"need_tools_kwargs": true,
"question": "Find the maximum value of $2x - y$ for a point P $(x, y)$ that lies on the ellipse $\\frac {x^{2}}{9}+ \\frac {y^{2}}{4}=1$.",
"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": "-1002i - 998",
"style": "rule"
} | {
"index": 5585,
"need_tools_kwargs": true,
"question": "Evaluate the sum $i + 2i^2 + 3i^3 + ... + 1999i^{1999}.$\nA) $-1002i - 998$\nB) $1999i + 2001$\nC) $-1001 + 1000i$\nD) $-1002 + 999i$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "May 30, 1955",
"style": "rule"
} | {
"index": 5586,
"need_tools_kwargs": true,
"question": "When was the director of film Stage Fright (1989 Film) born?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "11,000",
"style": "rule"
} | {
"index": 5587,
"need_tools_kwargs": true,
"question": "there are 4 members in a family . their average income is rs . 10000 per month . 3 members get rs . 8000 , rs . 15000 , rs . 6000 respectively . therefore what is the income of the fourth member of the family ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"index": 5588,
"need_tools_kwargs": true,
"question": "Rectangle $ABCD$, pictured below, shares $50\\%$ of its area with square $EFGH$. Square $EFGH$ shares $20\\%$ of its area with rectangle $ABCD$. What is the value of $\\frac{AB}{AD}$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "(-\\infty, -\\frac{4}{3}) \\cup (2, \\infty)",
"style": "rule"
} | {
"index": 5589,
"need_tools_kwargs": true,
"question": "For what values of $x$ is $3x^2-5x-8>0$? Express your answer in interval notation.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Avadis \"Avie\" Tevanian",
"style": "rule"
} | {
"index": 5590,
"need_tools_kwargs": true,
"question": "Which scientist was a pioneer in the computing field, Robert Nalbandyan or Avie Tevanian?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "20\\%",
"style": "rule"
} | {
"index": 5591,
"need_tools_kwargs": true,
"question": "Mark has the option of getting a $300 lens with a certain discount or a $220 lens. He saves $20 by buying the cheaper lens. What is the percentage discount on the $300 lens?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "29 November 1378",
"style": "rule"
} | {
"index": 5592,
"need_tools_kwargs": true,
"question": "What is the date of death of Catherine Of Bohemia'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": "4032",
"style": "rule"
} | {
"index": 5593,
"need_tools_kwargs": true,
"question": "Given the function $f\\left( x \\right)=\\frac{{{x}^{2}}}{1+{{x}^{2}}}$.\n\n(1) Find the values of $f\\left( 2 \\right)+f\\left( \\frac{1}{2} \\right),f\\left( 3 \\right)+f\\left( \\frac{1}{3} \\right),f\\left( 4 \\right)+f\\left( \\frac{1}{4} \\right)$ and conjecture a general conclusion (proof is not required).\n\n(2) Evaluate: $2f\\left(2\\right)+2f\\left(3\\right)+⋯+2f\\left(2017\\right)+f\\left( \\frac{1}{2}\\right)+f\\left( \\frac{1}{3}\\right)+⋯+f\\left( \\frac{1}{2017}\\right)+ \\frac{1}{{2}^{2}}f\\left(2\\right)+ \\frac{1}{{3}^{2}}f\\left(3\\right)+⋯ \\frac{1}{{2017}^{2}}f\\left(2017\\right)$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "y^2 - 4x - 6y + 9 = 0",
"style": "rule"
} | {
"index": 5594,
"need_tools_kwargs": true,
"question": "The graph of a parabola has the following properties:\n\n$\\bullet$ It passes through the point $(1,5).$\n\n$\\bullet$ The $y$-coordinate of the focus is 3.\n\n$\\bullet$ Its axis of symmetry is parallel to the $x$-axis.\n\n$\\bullet$ Its vertex lies on the $y$-axis.\n\nExpress the equation of the parabola in the form\n\\[ax^2 + bxy + cy^2 + dx + ey + f = 0,\\]where $a,$ $b,$ $c,$ $d,$ $e,$ $f$ are integers, $c$ is a positive integer, and $\\gcd(|a|,|b|,|c|,|d|,|e|,|f|) = 1.$",
"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": "180",
"style": "rule"
} | {
"index": 5595,
"need_tools_kwargs": true,
"question": "Let $\\mathrm {Q}$ be the product of the roots of $z^8+z^6+z^4+z^3+z+1=0$ that have a positive imaginary part, and suppose that $\\mathrm {Q}=s(\\cos{\\phi^{\\circ}}+i\\sin{\\phi^{\\circ}})$, where $0<s$ and $0\\leq \\phi <360$. Find $\\phi$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "3.6",
"style": "rule"
} | {
"index": 5596,
"need_tools_kwargs": true,
"question": "If $\\sqrt{3\\sqrt{s-3}} = \\sqrt[4]{9 - s}$, then find $s$.",
"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": "-710",
"style": "rule"
} | {
"index": 5597,
"need_tools_kwargs": true,
"question": "a) Given the quadratic equation \\(x^{2} - 9x - 10 = 0\\). Let \\(a\\) be its smallest root. Find \\(a^{4} - 909a\\).\n\nb) For the quadratic equation \\(x^{2} - 9x + 10 = 0\\), where \\(b\\) is the smallest root, find \\(b^{4} - 549b\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 5598,
"need_tools_kwargs": true,
"question": "Jo adds up all the positive integers from 1 to 100. Kate does a similar thing with the first 100 positive integers; however, she first rounds every integer to its nearest multiple of 10 (rounding 5s up) and then adds the 100 values. What is the positive difference between Jo's sum and Kate's sum?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 5599,
"need_tools_kwargs": true,
"question": "Do director of film Observe and Report and director of film Remedy for Riches have the same nationality?",
"split": "train"
} | null |
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