data_source stringclasses 1 value | prompt listlengths 2 2 | ability stringclasses 2 values | reward_model dict | extra_info dict | metadata null |
|---|---|---|---|---|---|
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3\\sqrt{3} - 6",
"style": "rule"
} | {
"index": 0,
"need_tools_kwargs": true,
"question": "Triangle $ABC$ is equilateral with side length $12$ . Point $D$ is the midpoint of side $\\overline{BC}$ . Circles $A$ and $D$ intersect at the midpoints of side $AB$ and $AC$ . Point $E$ lies on segment $\\overline{AD}$ and circle $E$ is tangent to circles $A$ and $D$ . Compute the radius of circle $E$ .\n\n*2015 CCA Math Bonanza Individual Round #5*",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Chattahoochee National Forest",
"style": "rule"
} | {
"index": 1,
"need_tools_kwargs": true,
"question": "Where is the mountain in Geogia from which the Appalachian National Scenic Trail started and extended up to Mount Katahdin in Maine?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Vienna, Austria",
"style": "rule"
} | {
"index": 2,
"need_tools_kwargs": true,
"question": "On War Against the Turk was a book written during the critical period marked by the first attempt by the Ottoman Empire to capture the city of what?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Deepika Padukone",
"style": "rule"
} | {
"index": 3,
"need_tools_kwargs": true,
"question": "Which \"Lafangey Parindey\" actor has received three Filmfare Awards?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "9.80",
"style": "rule"
} | {
"index": 4,
"need_tools_kwargs": true,
"question": "A compact disc originally sells for $10.00. If the price of the compact disc is increased by 40% and this new price is later decreased by 30%, what is the final price?\n(A) $9.80\n(B) $17.00\n(C) $9.00\n(D) $19.80\n(E) $9.60",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Beijing Film Academy",
"style": "rule"
} | {
"index": 5,
"need_tools_kwargs": true,
"question": "Where did the director of film Unforgettable Life study?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Austrian",
"style": "rule"
} | {
"index": 6,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Poor Little Sif?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7,
"need_tools_kwargs": true,
"question": "Mr. and Mrs. Smith have three children. They own a family van with a driver's seat, a passenger seat in the front, and two seats in the back. Either Mr. Smith or Mrs. Smith must sit in the driver's seat. How many seating arrangements are possible if one of the children insists on sitting in the front passenger seat?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 8,
"need_tools_kwargs": true,
"question": "Are both villages, Barisha, Harem District and Yelovo, Perm Krai, 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": "48",
"style": "rule"
} | {
"index": 9,
"need_tools_kwargs": true,
"question": "A right triangle has side lengths $a$, $b$, and $\\sqrt{2016}$ in some order, where $a$ and $b$ are positive integers. Determine the smallest possible perimeter of the triangle. The original answer is in the form k + \\sqrt{2016}, please give the value of k.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "520",
"style": "rule"
} | {
"index": 10,
"need_tools_kwargs": true,
"question": "I want to choose a license plate which is 3 characters long, where the first character is a letter, the last character is a digit, and the middle is either a letter or a digit. I also want there to be two characters on my license plate which are the same. How many ways are there for me to choose a license plate with these restrictions?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 11,
"need_tools_kwargs": true,
"question": "Do Marcus Harris (Wide Receiver, Born 1974) and Edoardo Severgnini share the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "April 4, 2016",
"style": "rule"
} | {
"index": 12,
"need_tools_kwargs": true,
"question": "On what date did this series premier that is an American animated superhero action-comedy television series and stars a fictional character named Blisstina Utonium?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "(37",
"style": "rule"
} | {
"index": 13,
"need_tools_kwargs": true,
"question": "In 10 years, Alice will be twice as old as Bob was 10 years ago. If Alice is now 7 years older than Bob, and the current age of their friend Charlie is half of the sum of their ages, what is the present age of Bob?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "3 April 1998",
"style": "rule"
} | {
"index": 14,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Shocking Asia?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Karma Lekshe Tsomo",
"style": "rule"
} | {
"index": 15,
"need_tools_kwargs": true,
"question": "Who was born first, Karma Lekshe Tsomo or Alexandr Stolnikov?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "9 October 1903",
"style": "rule"
} | {
"index": 16,
"need_tools_kwargs": true,
"question": "When is the director of film Slasti Otce Vlasti '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": "\\frac{407}{1580}",
"style": "rule"
} | {
"index": 17,
"need_tools_kwargs": true,
"question": "Two distinct positive integers from 1 to 80 inclusive are chosen. Let the sum of the integers equal $S$ and the product equal $P$. What is the probability that $P+S$ is one less than a multiple of 7?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"index": 18,
"need_tools_kwargs": true,
"question": "Cut along a straight line to divide a rectangular sheet of paper with a length of 11 centimeters and a width of 7 centimeters into squares each time. Find the maximum number of squares that can be cut out.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "born in Austria-Hungary",
"style": "rule"
} | {
"index": 19,
"need_tools_kwargs": true,
"question": "Where was Friedrich Hayek, the author of \"The Fatal Conceit\" 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": "-100",
"style": "rule"
} | {
"index": 20,
"need_tools_kwargs": true,
"question": "Monic quadratic polynomial $P(x)$ and $Q(x)$ have the property that $P(Q(x))$ has zeros at $x=-23, -21, -17,$ and $-15$, and $Q(P(x))$ has zeros at $x=-59,-57,-51$ and $-49$. Find the sum of the minimum values of $P(x)$ and $Q(x)$.",
"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": "4",
"style": "rule"
} | {
"index": 21,
"need_tools_kwargs": true,
"question": "The square quilt block shown is made from nine unit squares, some of which have been divided in half to form triangles. What fraction of the square quilt is shaded? Express your answer as a common fraction. The answer is in the form \\(\\frac{k}{m}\\), where \\(k\\) and \\(m\\) are integers. Please find the value of \\(k+m\\).\n\n[asy]size(75);\nfill(scale(3)*unitsquare,gray(.6));\npath[] interior = (1,0)--(0,1)--(1,1)--cycle^^(1,1)--(2,1)--(2,2)--(1,2)--cycle^^(1,2)--(0,2)--(1,3)--cycle^^(2,1)--(2,0)--(3,1)--cycle^^(2,2)--(2,3)--(3,2)--cycle;\nclip(interior);\ndraw(interior);\ndraw(scale(3)*unitsquare);\n[/asy]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\sqrt{\\frac{n(2n^2+1)}{3}}",
"style": "rule"
} | {
"index": 22,
"need_tools_kwargs": true,
"question": "Given \\(2n\\) real numbers \\(a_{1}, a_{2}, \\cdots, a_{2n}\\) such that \\(\\sum_{i=1}^{2n-1}\\left(a_{i+1}-a_{i}\\right)^{2} = 1\\), find the maximum value of \\(\\left(a_{n-1}+a_{n-2}+\\cdots+a_{2n}\\right)-\\left(a_{1}+a_{2}+\\cdots+a_{n}\\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": "56",
"style": "rule"
} | {
"index": 23,
"need_tools_kwargs": true,
"question": "在平面直角坐标系 xOy 中，点 O 为坐标原点。点 A 在第一象限，且在圆 \\Gamma:(x-1)^2+y^2=1 上。点 B 为直线 OA 与直线 \\mu:\\frac{x}{5}+\\frac{y}{25}=1 的交点。则 \\frac{|OA|}{|OB|} 的最大值的形式为 \\frac{\\sqrt{k}+m}{n}，请计算k+m+n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": "inside linebacker",
"style": "rule"
} | {
"index": 24,
"need_tools_kwargs": true,
"question": "The UNL produced what type of football player to be signed by the Washington Redskins?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "13 April 1850.",
"style": "rule"
} | {
"index": 25,
"need_tools_kwargs": true,
"question": "On what day, month, and year was Nikolai Christian Grove Prebensen, who was the mayor of Vadsø Municipality from 1892 to 1894, 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": "103",
"style": "rule"
} | {
"index": 26,
"need_tools_kwargs": true,
"question": "Consider the expression \\(1 \\ast 2 \\ast 3 \\ast 4 \\ast 5 \\ast 6\\).\nEach star in the expression is to be replaced with either ' + ' or ' \\times '.\n\\(N\\) is the largest possible value of the expression. What is the largest prime factor of \\(N\\)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2\\sqrt{3}\\pi",
"style": "rule"
} | {
"index": 27,
"need_tools_kwargs": true,
"question": "A wheel with radius $2\\text{ m}$ is rolled in a straight line down an inclined plane through one complete revolution. How many meters did the center of the wheel travel horizontally from its starting location if the angle of inclination of the plane is $30^\\circ$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "39",
"style": "rule"
} | {
"index": 28,
"need_tools_kwargs": true,
"question": "Evaluate $\\lfloor-5.77\\rfloor+\\lceil-3.26\\rceil+\\lfloor15.93\\rfloor+\\lceil32.10\\rceil$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\{1, 2, 7, 8\\}",
"style": "rule"
} | {
"index": 29,
"need_tools_kwargs": true,
"question": "For the irrational number $\\mathrm{e} = 2.71828182845 \\cdots$, define the function $f(n) = k$, where the domain is the set of positive integers, and $k$ is the $n$-th digit after the decimal point of $\\mathrm{e}$. Given $f(0) = 2$, determine the range of $f(f(f(n)))$.\n(A) $\\{3,4,6,9\\}$\n(B) $\\{2,0,1,9\\}$\n(C) $\\{0,3,5,9\\}$\n(D) $\\{1,2,7,8\\}$",
"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... | qa | {
"ground_truth": "French",
"style": "rule"
} | {
"index": 30,
"need_tools_kwargs": true,
"question": "What nationality is John Of Luxembourg, Count Of Soissons's mother?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Caesars Entertainment Corporation",
"style": "rule"
} | {
"index": 31,
"need_tools_kwargs": true,
"question": "The AXIS is located in a casino that is owned and operated 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... | qa | {
"ground_truth": "dog breed",
"style": "rule"
} | {
"index": 32,
"need_tools_kwargs": true,
"question": "What do Cane Corso and Lhasa Apso 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": "24",
"style": "rule"
} | {
"index": 33,
"need_tools_kwargs": true,
"question": "Let $I$ be the incenter of $\\triangle ABC$, and $O$ be the excenter corresponding to $B$. If $|BI|=12$, $|IO|=18$, and $|BC|=15$, then what is the length of $|AB|$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 34,
"need_tools_kwargs": true,
"question": "Did Bill Cowley and Luis Fernando Rodríguez Ahumada share the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "October 20, 2014",
"style": "rule"
} | {
"index": 35,
"need_tools_kwargs": true,
"question": "What date did the show premier on that Jacob Bertrand is known for playing the titular character?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{2}{5}",
"style": "rule"
} | {
"index": 36,
"need_tools_kwargs": true,
"question": "A top hat contains 3 red chips and 2 green chips. Chips are drawn randomly, one at a time without replacement, until all 3 of the reds are drawn or until both green chips are drawn. What is the probability that the 3 reds are drawn?\n$\\textbf{(A) }\\dfrac{3}{10}\\qquad\\textbf{(B) }\\dfrac{2}{5}\\qquad\\textbf{(C) }\\dfrac{1}{2}\\qquad\\textbf{(D) }\\dfrac{3}{5}\\qquad \\textbf{(E) }\\dfrac{7}{10}$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "52",
"style": "rule"
} | {
"index": 37,
"need_tools_kwargs": true,
"question": "An ellipse in the first quadrant is tangent to both the $x$-axis and $y$-axis. One focus is at $(3,7)$ and the other focus is at $(d,7).$ Compute $d.$The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. Please provide 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... | qa | {
"ground_truth": "September 13, 1971",
"style": "rule"
} | {
"index": 38,
"need_tools_kwargs": true,
"question": "When did Lin Liheng'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": "(x, y, z) \\in \\{(2, 2, 3), (2, 3, 4)\\}",
"style": "rule"
} | {
"index": 39,
"need_tools_kwargs": true,
"question": "Solve the equation \\(2^{x} + 3^{y} - 7 = z!\\) in natural numbers. (The symbol \\(z!\\) denotes the factorial of \\(z\\), which is the product of all natural numbers from 1 to \\(z\\).)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 40,
"need_tools_kwargs": true,
"question": "Let $ ABC$ be a triangle with $ \\angle A = 45^\\circ$. Let $ P$ be a point on side $ BC$ with $ PB = 3$ and $ PC = 5$. Let $ O$ be the circumcenter of $ ABC$. Determine the length $ OP$. The original answer is in the form \\sqrt{k}, please give the value of k.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 41,
"need_tools_kwargs": true,
"question": "Are both Cleaning Up (1933 Film) and The Legend Of Barney Thomson 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": "San Francisco, California",
"style": "rule"
} | {
"index": 42,
"need_tools_kwargs": true,
"question": "Where is one of the companies that reported the planned DDOS attack headquartered?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{5}{2}",
"style": "rule"
} | {
"index": 43,
"need_tools_kwargs": true,
"question": "Calculate the limit of the numerical sequence:\n$$\\lim _{n \\rightarrow \\infty} \\frac{\\sqrt{n^{5}-8}-n \\sqrt{n\\left(n^{2}+5\\right)}}{\\sqrt{n}}$$",
"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": "Princess Elizabeth of Clarence",
"style": "rule"
} | {
"index": 44,
"need_tools_kwargs": true,
"question": "Which daughter of the King of the United Kingdom of Great Britain and Ireland and King of Hanover from 26 June 1830 until his death was an infant member of the British royal 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": "1",
"style": "rule"
} | {
"index": 45,
"need_tools_kwargs": true,
"question": "Points $A$ and $B$ are $8$ units apart. How many lines in a given plane containing $A$ and $B$ are $3$ units from $A$ and $5$ units from $B$?\n$\\text{(A) } 0\\quad \\text{(B) } 1\\quad \\text{(C) } 2\\quad \\text{(D) } 3\\quad \\text{(E) more than }3$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1992",
"style": "rule"
} | {
"index": 46,
"need_tools_kwargs": true,
"question": "In what year was the band, whose bassist joined Arvas in 1996, formed?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Mumbai",
"style": "rule"
} | {
"index": 47,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Kedi (2010 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": "three",
"style": "rule"
} | {
"index": 48,
"need_tools_kwargs": true,
"question": "How many golden also did Jan Tauren win at the Far eastern Championship games?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "49",
"style": "rule"
} | {
"index": 49,
"need_tools_kwargs": true,
"question": "One morning a baker notices that she has $188$ cups of flour and $113$ cups of sugar available. Each loaf of bread that the baker makes takes three cups of flour and a half cup of sugar. Each cake that the baker makes takes two cups of flour and two cups of sugar. The baker decides to make some loaves of bread and some cakes so that she exactly uses up all of her supplies of flour and sugar. Find the number of cakes she should make.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 50,
"need_tools_kwargs": true,
"question": "Are both Stanley Elkin and Anne Lamott non-fiction writers? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 51,
"need_tools_kwargs": true,
"question": "30 beads (blue and green) were arranged in a circle. 26 beads had a neighboring blue bead, and 20 beads had a neighboring green bead. How many blue beads were there?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Piyush",
"style": "rule"
} | {
"index": 52,
"need_tools_kwargs": true,
"question": "what was the actual first name of the man that defeated Walter Boasso?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Chennai",
"style": "rule"
} | {
"index": 53,
"need_tools_kwargs": true,
"question": "Where was the place of death of the composer of film Sundhari Kakka?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 54,
"need_tools_kwargs": true,
"question": "Five friends were seated in a row of 5 seats, numbered 1 to 5. Ada left to buy snacks. While she was gone, Bea moved one seat to the right, Ceci moved one seat to the left and then back to her original position, and Dee and Edie switched seats with Edie then moving one seat to the right. When Ada returned, she found an empty end seat and sat there. Determine where Ada was originally seated.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1987",
"style": "rule"
} | {
"index": 55,
"need_tools_kwargs": true,
"question": "The romantic Tamil song Pookkalae Sattru Oyivedungal is sung by Shreya Ghoshal and this Carnatic vocalist, playback singer, and musician born in which year?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(-\\infty,-4)\\cup (4,\\infty)",
"style": "rule"
} | {
"index": 56,
"need_tools_kwargs": true,
"question": "If $m$ is a real number and $x^2+mx+4$ has two distinct real roots, then what are the possible values of $m$? 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... | math | {
"ground_truth": "556",
"style": "rule"
} | {
"index": 57,
"need_tools_kwargs": true,
"question": "A robot starts from point $A$ and moves once upon receiving an instruction, moving either one or two squares east or north each time. There are $\\qquad$ different ways for the robot to reach point $B$ from point $A$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "778556334111889667445223",
"style": "rule"
} | {
"index": 58,
"need_tools_kwargs": true,
"question": "Find the smallest natural number \\( N \\) such that the decimal representation of \\( N \\times 999 \\) consists entirely of the digit seven.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "The Young In Heart",
"style": "rule"
} | {
"index": 59,
"need_tools_kwargs": true,
"question": "Which film has the director born earlier, Respiro or The Young In Heart?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "church",
"style": "rule"
} | {
"index": 60,
"need_tools_kwargs": true,
"question": "Hancock is an unincorporated community which in British geography is considered smaller than a village and distinctly without a what?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "49",
"style": "rule"
} | {
"index": 61,
"need_tools_kwargs": true,
"question": "Zuzka had five cubic blocks with side lengths of 1 to 5 units. She glued these blocks into a tower, placing smaller blocks on larger ones with their faces completely aligned. Afterward, Zuzka painted the entire tower except for the base face. Each paint container could paint an area of exactly 5 square units.\n\nHow many paint containers did Zuzka need to paint the tower?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Frank Fertitta, Jr.",
"style": "rule"
} | {
"index": 62,
"need_tools_kwargs": true,
"question": "Who founded gaming company which owns and operates the Red Rock Resort?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 63,
"need_tools_kwargs": true,
"question": "Rajesh walked 10 kilometers less than 4 times the distance that Hiro walked. Rajesh and Hiro walked a certain distance together. Rajesh walked 18 kilometers. How many kilometers did they walk together?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "24.25",
"style": "rule"
} | {
"index": 64,
"need_tools_kwargs": true,
"question": "Determine the minimum value of the quotient of a three-digit number with distinct digits, where each digit is different and non-zero. The hundreds digit cannot be 1, and the units digit must be 1. Express this quotient as the three-digit number divided by the sum of its digits.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 65,
"need_tools_kwargs": true,
"question": "Are The Fake Emir and Cowboy Blues 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": "A.C. Milan Primavera",
"style": "rule"
} | {
"index": 66,
"need_tools_kwargs": true,
"question": "what team does the former 2012-13 FC Sion player now manage?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(-2,-1)",
"style": "rule"
} | {
"index": 67,
"need_tools_kwargs": true,
"question": "Given point $P(-2,1)$, the coordinates of the point $Q$ which is symmetric to point $P$ with respect to the $x$-axis are ______.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "120^\\circ",
"style": "rule"
} | {
"index": 68,
"need_tools_kwargs": true,
"question": "To what central angle should we cut a circle with some chord $M N$ so that the length of the larger arc is the arithmetic mean between the circumference of the circle and the length of the smaller arc?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 69,
"need_tools_kwargs": true,
"question": "Suppose that $P(x, y, z)$ is a homogeneous degree 4 polynomial in three variables such that $P(a, b, c)=P(b, c, a)$ and $P(a, a, b)=0$ for all real $a, b$, and $c$. If $P(1,2,3)=1$, compute $P(2,4,8)$.",
"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... | qa | {
"ground_truth": "Concealed ovulation",
"style": "rule"
} | {
"index": 70,
"need_tools_kwargs": true,
"question": "What type of ovulation does the animal formerly known as the pygmy chimpanzee 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... | math | {
"ground_truth": "x = \\sqrt{ab}",
"style": "rule"
} | {
"index": 71,
"need_tools_kwargs": true,
"question": "A painting is hung on a wall such that its bottom edge is $a$ meters and its top edge is $b$ meters above the observer's eye level. At what distance $x$ from the wall should the observer stand so that the painting is seen at the largest possible angle?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 March 2013",
"style": "rule"
} | {
"index": 72,
"need_tools_kwargs": true,
"question": "What is the date of death of the performer of song Ho Visto Un Re?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 73,
"need_tools_kwargs": true,
"question": "Are Cheshmeh Bid, Lorestan and Mehdiabad, Azadshahr 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": "\"Violetta\"",
"style": "rule"
} | {
"index": 74,
"need_tools_kwargs": true,
"question": "What was the original title of the opera in which Placido Domingo first appeared in 1961? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "100 mi",
"style": "rule"
} | {
"index": 75,
"need_tools_kwargs": true,
"question": "What is the distance of the full course that Brushy Mountain State Penitentiary is included in?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "11",
"style": "rule"
} | {
"index": 76,
"need_tools_kwargs": true,
"question": "There are some numbers with an average of 9.9. The average of the first 6 numbers is 10.5 and the average of the last 6 numbers is 11.4. The middle number is 22.5. How many numbers are there in total?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\binom{m+n}{n}",
"style": "rule"
} | {
"index": 77,
"need_tools_kwargs": true,
"question": "Consider an \\( m \\times n \\) grid of streets, where horizontal lines represent horizontal streets and vertical lines represent vertical streets. A person walks from point \\( A \\) to point \\( B \\) along the streets. How many different shortest paths are there?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "India",
"style": "rule"
} | {
"index": 78,
"need_tools_kwargs": true,
"question": "What nationality is the director of film School Master (2010 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": "Kenneth Walker III",
"style": "rule"
} | {
"index": 79,
"need_tools_kwargs": true,
"question": "Who is the player that, according to articles from both 'Sporting News' and 'CBSSports.com', suffered an oblique injury affecting his ability to play in Week 14 and provided a chance for a rookie to shine in his potential absence during Week 12?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1250",
"style": "rule"
} | {
"index": 80,
"need_tools_kwargs": true,
"question": "Determine how many integers \\( N \\) between 1 and 2500 make the improper fraction \\( \\frac{N^2 + 9}{N + 5} \\) not in lowest terms, given that \\( \\gcd(N + 5, N^2 + 11) > 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": "(-1,0)",
"style": "rule"
} | {
"index": 81,
"need_tools_kwargs": true,
"question": "An odd function $f(x)$ is decreasing on its domain $(-1,1)$, and $f(1+a)+f(1-a^2)<0$. The range of the real number $a$ is __________.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "48",
"style": "rule"
} | {
"index": 82,
"need_tools_kwargs": true,
"question": "Given that two children, A and B, and three adults, 甲, 乙, and 丙, are standing in a line, A is not at either end, and exactly two of the three adults are standing next to each other. The number of different arrangements is $\\boxed{\\text{answer}}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "31 October 1974",
"style": "rule"
} | {
"index": 83,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film First Cornet Streshnev?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "125",
"style": "rule"
} | {
"index": 84,
"need_tools_kwargs": true,
"question": "Consider the binomial expansion of $(1 + 0.3)^{500}$:\n\\[\n(1 + 0.3)^{500} = \\sum_{k=0}^{500} \\binom{500}{k} (0.3)^k = A_0 + A_1 + A_2 + \\dots + A_{500},\n\\]\nwhere $A_k = \\binom{500}{k} (0.3)^k$ for $k = 0, 1, 2, \\ldots, 500$. Determine for which $k$ is $A_k$ the largest.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "480",
"style": "rule"
} | {
"index": 85,
"need_tools_kwargs": true,
"question": "When arranging the performance order of 6 singers, requiring that both singers B and C are either before or after singer A, calculate the total number of different arrangements.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2016",
"style": "rule"
} | {
"index": 86,
"need_tools_kwargs": true,
"question": "Given $f(x)=m\\sin (πx+α)+n\\cos (πx+β)+8$, where $m$, $n$, $α$, $β$ are all real numbers. If $f(2000)=-2000$, find $f(2015)$ = \\_\\_\\_\\_\\_\\_.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 87,
"need_tools_kwargs": true,
"question": "Given a natural number $\\overline{62 \\alpha \\beta 427}$ which is a multiple of 99, find the values of $\\alpha$ and $\\beta$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Phillip Harvey Spector",
"style": "rule"
} | {
"index": 88,
"need_tools_kwargs": true,
"question": "Just Once in My Life was partly written by which Wall of Sound producer?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "launched roller coaster",
"style": "rule"
} | {
"index": 89,
"need_tools_kwargs": true,
"question": "The Wave Breaker: The Rescue Coaster that is operating at SeaWorld San Antonio and is designed to emphasize SeaWorld's animal rescue efforts, is using what kind of roller coaster?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "stroke",
"style": "rule"
} | {
"index": 90,
"need_tools_kwargs": true,
"question": "Why did the founder of university University Of Birmingham 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": "12",
"style": "rule"
} | {
"index": 91,
"need_tools_kwargs": true,
"question": "In a 5x5 grid, determine the greatest number of 'X's that can be placed such that no three 'X's are aligned vertically, horizontally, or diagonally. Explain your reasoning and provide a configuration that achieves this maximum.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "19 February 1953",
"style": "rule"
} | {
"index": 92,
"need_tools_kwargs": true,
"question": "When is the director of film Ricomincio Da Tre '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... | qa | {
"ground_truth": "the Soviet Union",
"style": "rule"
} | {
"index": 93,
"need_tools_kwargs": true,
"question": "With which state did this American man, portrayed by Timothy Hutton in the film \"The Falcon and the Snowman,\" have dealings with, for which he was later convicted?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Elizabeth Fearn \"Finn\" Carter",
"style": "rule"
} | {
"index": 94,
"need_tools_kwargs": true,
"question": "What is the full name of the actress who starred in the 1990 American monster film directed by Ron Underwood?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Edward Albert Arthur Woodward",
"style": "rule"
} | {
"index": 95,
"need_tools_kwargs": true,
"question": "What is the full name of the actor responsible for playing Callan in a British television series?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-231",
"style": "rule"
} | {
"index": 96,
"need_tools_kwargs": true,
"question": "Let $f_{1}(x)=\\sqrt{1-x}$, and for integers $n \\geq 2$, let \\[f_{n}(x)=f_{n-1}\\left(\\sqrt{n^2 - x}\\right).\\]Let $N$ be the largest value of $n$ for which the domain of $f_n$ is nonempty. For this value of $N,$ the domain of $f_N$ consists of a single point $\\{c\\}.$ Compute $c.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Sir Lewis Casson",
"style": "rule"
} | {
"index": 97,
"need_tools_kwargs": true,
"question": "Which British actor and theatre director born in 1875 is the grandparent of Benedict Campbell?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 98,
"need_tools_kwargs": true,
"question": "Consider the positive integers $A$, $B$, $A-B$, and $A+B$ are all prime numbers. Moreover, $A$ and $B$ are part of a set of four consecutive odd primes. Find the sum of these four primes and determine whether it is:\n\n$\\bullet$ A. even\n\n$\\bullet$ B. divisible by $3$\n\n$\\bullet$ C. divisible by $5$\n\n$\\bullet$ D. divisible by $9$\n\n$\\bullet$ E. prime\n\nExpress your answer using a letter, as A, B, C, D, or E.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 99,
"need_tools_kwargs": true,
"question": "In the land of Chaina, people pay each other in the form of links from chains. Fiona, originating from Chaina, has an open chain with $2018$ links. In order to pay for things, she decides to break up the chain by choosing a number of links and cutting them out one by one, each time creating $2$ or $3$ new chains. For example, if she cuts the $1111$ th link out of her chain first, then she will have $3$ chains, of lengths $1110$ , $1$ , and $907$ . What is the least number of links she needs to remove in order to be able to pay for anything costing from $1$ to $2018$ links using some combination of her chains? \n\n*2018 CCA Math Bonanza Individual Round #10*",
"split": "train"
} | null |
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