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": "C. 70\\%",
"style": "rule"
} | {
"index": 7800,
"need_tools_kwargs": true,
"question": "Martina plays chess. She has played 15 games this season, out of which she has won nine. She has five more games to play. What will her success rate be this season if she wins all five remaining games?\n\nA. 60%\nB. 65%\nC. 70%\nD. 75%\nE. 80%",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "University of Massachusetts Amherst",
"style": "rule"
} | {
"index": 7801,
"need_tools_kwargs": true,
"question": "Where does John Katzenbach's wife work 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": "no",
"style": "rule"
} | {
"index": 7802,
"need_tools_kwargs": true,
"question": "Do director of film Gentleman from Dixie and director of film The Voice (1920 film) 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... | math | {
"ground_truth": "2015",
"style": "rule"
} | {
"index": 7803,
"need_tools_kwargs": true,
"question": "Write seven different digits instead of seven asterisks so that the equation **** + ** + * = 2015 holds true.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7804,
"need_tools_kwargs": true,
"question": "A small square is drawn inside a larger square. The area of the shaded region and the area of the unshaded region are each \\(18 \\mathrm{~cm}^{2}\\). What is the side length of the larger square?\n(A) \\(3 \\mathrm{~cm}\\)\n(B) \\(4 \\mathrm{~cm}\\)\n(C) \\(6 \\mathrm{~cm}\\)\n(D) \\(9 \\mathrm{~cm}\\)\n(E) \\(12 \\mathrm{~cm}\\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7805,
"need_tools_kwargs": true,
"question": "Do Mohamed Geisa and Hermann Hüffer have the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "6+4\\sqrt{2+\\sqrt{2}}",
"style": "rule"
} | {
"index": 7806,
"need_tools_kwargs": true,
"question": "Calculate the fourth power of the expression \\( \\sqrt{2+\\sqrt{2+\\sqrt{2}}} \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{36}{5}",
"style": "rule"
} | {
"index": 7807,
"need_tools_kwargs": true,
"question": "In a convex quadrilateral \\(PQRS\\), the lengths of sides \\(PQ\\) and \\(RS\\) are 10 and 15, respectively. The diagonals \\(PR\\) and \\(QS\\) intersect at point \\(T\\), with \\(PR\\) measuring 18 units. It is given that the areas of triangles \\(PTR\\) and \\(QTS\\) are equal. Determine the length of segment \\(PT\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 June 1977",
"style": "rule"
} | {
"index": 7808,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Garibaldi (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": "20 July 1943.",
"style": "rule"
} | {
"index": 7809,
"need_tools_kwargs": true,
"question": "On what day, month, and year was Murray Nicoll, the Australian journalist who reported from his own burning home during the 1983 Ash Wednesday bushfires in Australia, 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": "Karjiang is a mountain in Tibet, located near the Bhutan–China border.",
"style": "rule"
} | {
"index": 7810,
"need_tools_kwargs": true,
"question": "Where are Karjiang and Kirat Chuli?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1089",
"style": "rule"
} | {
"index": 7811,
"need_tools_kwargs": true,
"question": "In the multiplication problem below, different letters represent different integers ranging from 0 to 9. Determine the values of \\( A \\), \\( B \\), \\( C \\), and \\( D \\) based on the following multiplication:\n\n```\n A B C D\n× 9\n---------\nD C B A\n```\n\nAdditionally, consider the multiplication of \\( 1 B C \\) by \\( 9 \\):\n\n```\n 1 B C\n× 9\n---------\n9 C B 1\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": "American",
"style": "rule"
} | {
"index": 7812,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Porky'S Revenge!?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "20,000",
"style": "rule"
} | {
"index": 7813,
"need_tools_kwargs": true,
"question": "A certain sum is invested at simple interest at 22% p.a. for three years instead of investing at 15% p.a. for four years. Therefore, the interest received is more by Rs. 1,200. Find the 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": "no",
"style": "rule"
} | {
"index": 7814,
"need_tools_kwargs": true,
"question": "Does the article from Fortune suggest that Generation Z experiences distress primarily due to high employment rates, while the article from Eos: Earth And Space Science News calls for a deeper understanding of sea surface temperature patterns as a significant climate driver?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{59600}{49}",
"style": "rule"
} | {
"index": 7815,
"need_tools_kwargs": true,
"question": "Given that $2x + 5y = 20$ and $5x + 2y = 26$, find $20x^2 + 60xy + 50y^2$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{10}{17}",
"style": "rule"
} | {
"index": 7816,
"need_tools_kwargs": true,
"question": "Let $S_{n}$ and $T_{n}$ represent the sum of the first $n$ terms of the arithmetic sequences ${a_{n}}$ and ${b_{n}}$, respectively. Given that $\\frac{S_{n}}{T_{n}} = \\frac{n+1}{2n-1}$, where $n \\in \\mathbb{N}^*$, find the value of $\\frac{a_{3} + a_{7}}{b_{1} + b_{9}}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Jesse Freeman Boulden",
"style": "rule"
} | {
"index": 7817,
"need_tools_kwargs": true,
"question": "Who helped manage the Senate campaigns, of the first African American to serve in the U.S. Congress?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "10100",
"style": "rule"
} | {
"index": 7818,
"need_tools_kwargs": true,
"question": "Find the number of integers $n$ such that \\[1+\\left\\lfloor\\dfrac{100n}{101}\\right\\rfloor=\\left\\lceil\\dfrac{99n}{100}\\right\\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": "44\\%",
"style": "rule"
} | {
"index": 7819,
"need_tools_kwargs": true,
"question": "In a school of 850 boys, a certain percentage are Muslims, 32% are Hindus, 10% are Sikhs, and the remaining belong to other communities. There are 119 boys from other communities. What percentage of the boys are Muslims?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7820,
"need_tools_kwargs": true,
"question": "Let \\( X = \\{1, 2, 3, 4\\} \\). Consider a function \\( f: X \\to X \\). Define \\( f^1 = f \\) and \\( f^{k+1} = f \\circ f^k \\) for \\( k \\geq 1 \\). Determine how many functions \\( f \\) satisfy the condition that \\( f^{2014}(x) = x \\) for all \\( x \\in 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": "no",
"style": "rule"
} | {
"index": 7821,
"need_tools_kwargs": true,
"question": "Are Rajir and Bath, New Brunswick both located in the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "American",
"style": "rule"
} | {
"index": 7822,
"need_tools_kwargs": true,
"question": "Which country Raymond Hackett's wife is from?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 7823,
"need_tools_kwargs": true,
"question": "Was there no change in the portrayal of Sam Bankman-Fried's actions from the perspective of the prosecution between the TechCrunch report on Sam Bankman-Fried's trial published on October 1, 2023, and The Verge report on the outcome of the FTX trial published on October 26, 2023?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "62.8318",
"style": "rule"
} | {
"index": 7824,
"need_tools_kwargs": true,
"question": "the diameter of a cylindrical tin is 4 cm and height is 5 cm . find the volume of the cylinder ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "m \\leq -3",
"style": "rule"
} | {
"index": 7825,
"need_tools_kwargs": true,
"question": "Given the sets $A={x|x^{2}-3x-10 < 0}$ and $B={x|m+1 < x < 1-3m}$, and $A∪B=B$, find the range of values for $m$.",
"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... | math | {
"ground_truth": "34514",
"style": "rule"
} | {
"index": 7826,
"need_tools_kwargs": true,
"question": "Identify all values of \\( n \\) for which the sum of the first \\( n \\) terms of the arithmetic progression 25, 22, 19, \\ldots is at least 66.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{30}",
"style": "rule"
} | {
"index": 7827,
"need_tools_kwargs": true,
"question": "Given that points \\( P \\) and \\( Q \\) are inside triangle \\( \\triangle ABC \\), and\n\\[\n\\begin{array}{l}\n\\overrightarrow{PA} + 2\\overrightarrow{PB} + 3\\overrightarrow{PC} \\\\\n= 2\\overrightarrow{QA} + 3\\overrightarrow{QB} + 5\\overrightarrow{QC} = \\mathbf{0}.\n\\end{array}\n\\]\nFind \\( \\frac{|\\overrightarrow{PQ}|}{|\\overrightarrow{AB}|} \\).\n(A) \\( \\frac{1}{30} \\)\n(B) \\( \\frac{1}{31} \\)\n(C) \\( \\frac{1}{32} \\)\n(D) \\( \\frac{1}{33} \\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 7828,
"need_tools_kwargs": true,
"question": "Let $\\Gamma$ be a circle in the plane and $S$ be a point on $\\Gamma$. Mario and Luigi drive around the circle $\\Gamma$ with their go-karts. They both start at $S$ at the same time. They both drive for exactly $6$ minutes at constant speed counterclockwise around the circle. During these $6$ minutes, Luigi makes exactly one lap around $\\Gamma$ while Mario, who is three times as fast, makes three laps. \n\nWhile Mario and Luigi drive their go-karts, Princess Daisy positions herself such that she is always exactly in the middle of the chord between them. When she reaches a point she has already visited, she marks it with a banana.\n\nCalculate the number of distinct points in the plane, apart from $S$, that are marked with a banana by the end of the $6$ minutes. The answer should be an integer.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Kim Hyun-joong",
"style": "rule"
} | {
"index": 7829,
"need_tools_kwargs": true,
"question": "Who contributed \"One More Time\" from his drama \"Playful Kiss\"a 2010 South Korean romantic-comedy 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": "135",
"style": "rule"
} | {
"index": 7830,
"need_tools_kwargs": true,
"question": "Twelve congruent disks are placed on a circle $C$ of radius 1 in such a way that the twelve disks cover $C$, no two of the disks overlap, and so that each of the twelve disks is tangent to its two neighbors. The resulting arrangement of disks is shown in the figure below. The sum of the areas of the twelve disks can be written in the from $\\pi(a-b\\sqrt{c})$, where $a,b,c$ are positive integers and $c$ is not divisible by the square of any prime. Find $a+b+c$.\n[asy] unitsize(100); draw(Circle((0,0),1)); dot((0,0)); draw((0,0)--(1,0)); label(\"$1$\", (0.5,0), S); for (int i=0; i<12; ++i) { dot((cos(i*pi/6), sin(i*pi/6))); } for (int a=1; a<24; a+=2) { dot(((1/cos(pi/12))*cos(a*pi/12), (1/cos(pi/12))*sin(a*pi/12))); draw(((1/cos(pi/12))*cos(a*pi/12), (1/cos(pi/12))*sin(a*pi/12))--((1/cos(pi/12))*cos((a+2)*pi/12), (1/cos(pi/12))*sin((a+2)*pi/12))); draw(Circle(((1/cos(pi/12))*cos(a*pi/12), (1/cos(pi/12))*sin(a*pi/12)), tan(pi/12))); }[/asy]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "British",
"style": "rule"
} | {
"index": 7831,
"need_tools_kwargs": true,
"question": "What is the nationality above?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "883",
"style": "rule"
} | {
"index": 7832,
"need_tools_kwargs": true,
"question": "Consider the fraction \n\\[\n\\dfrac{1}{99^2}.\n\\]\nDetermine the decimal expansion of this fraction and find the sum of the digits in one period of its repeating decimal representation.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "19",
"style": "rule"
} | {
"index": 7833,
"need_tools_kwargs": true,
"question": "Let \\( w \\), \\( x \\), \\( y \\), and \\( z \\) be whole numbers such that \\( 2^w \\cdot 3^x \\cdot 5^y \\cdot 7^z = 3250 \\). Determine the value of \\( 2w + 3x + 4y + 5z \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 6, 1899",
"style": "rule"
} | {
"index": 7834,
"need_tools_kwargs": true,
"question": "When was the director of film The Lone Rider In Cheyenne 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": "July 1553 until her death",
"style": "rule"
} | {
"index": 7835,
"need_tools_kwargs": true,
"question": "Jane Foole served as the Court Jester for Mary I of England from what date to what date?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "375",
"style": "rule"
} | {
"index": 7836,
"need_tools_kwargs": true,
"question": "Complex numbers $a,$ $b,$ and $c$ are zeros of a polynomial $P(z) = z^3 + qz + r,$ and $|a|^2 + |b|^2 + |c|^2 = 250.$ The points corresponding to $a,$ $b,$ and $c$ in the complex plane are the vertices of a right triangle with hypotenuse $h.$ Find $h^2.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Bayatılar",
"style": "rule"
} | {
"index": 7837,
"need_tools_kwargs": true,
"question": "Edward Maya had a international hit based which refrain composed by Azerbaijani musician Eldar Mansurov?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Billie Reed",
"style": "rule"
} | {
"index": 7838,
"need_tools_kwargs": true,
"question": "What character did Ty Treadway's \"Soap Talk\" co-host play on \"Days of Our Lives\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{8\\pi}{3} + 8\\sqrt{3}",
"style": "rule"
} | {
"index": 7839,
"need_tools_kwargs": true,
"question": "Calculate the areas of the figures bounded by the lines given in polar coordinates.\n\n$$\nr=4 \\cos 3 \\phi, \\quad r=2 \\quad (r \\geq 2)\n$$",
"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": "Sia",
"style": "rule"
} | {
"index": 7840,
"need_tools_kwargs": true,
"question": "Who recorded this song, whose remix was nominated for a Grammy Award and whose original was featured on Now That's What I Call Music! 59?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "5 July 1984",
"style": "rule"
} | {
"index": 7841,
"need_tools_kwargs": true,
"question": "What day, month, and year was the New Zealand actress Ria Vandervis 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": "5",
"style": "rule"
} | {
"index": 7842,
"need_tools_kwargs": true,
"question": "设非负实数 a_1,a_2,\\cdots,a_{2023} 满足 \\sum_{i=1}^{2023}a_i=1. 求\\sum_{i=1}^{2023}\\min\\{a_i,a_{i+1}\\}^2的最大值，其中 a_{2024}=a_1. 答案形式为\\frac{m}{n}，请给出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": "Chinese",
"style": "rule"
} | {
"index": 7843,
"need_tools_kwargs": true,
"question": "What nationality is the director of film The Trough (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": "Favorite Soundtrack",
"style": "rule"
} | {
"index": 7844,
"need_tools_kwargs": true,
"question": "Which Nickelodeon Kids' Choice Award was won by the soundtrack to a film directed by David Ayer?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7845,
"need_tools_kwargs": true,
"question": "In quadrilateral $ABCD$, it is given that $\\angle A = 120^\\circ$, angles $B$ and $D$ are right angles, $AB = 13$, and $AD = 46$. Find the length of $AC$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7846,
"need_tools_kwargs": true,
"question": "Let $\\{a_n\\}$ be the sequence formed by arranging all the numbers in the set $\\{3^p+3^q+3^r|0\\leq p<q<r, \\text{ and } p, q, r \\in \\mathbb{N}^*\\}$ in ascending order. Given that $a_k = 2511$, find $k$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{1}{2}",
"style": "rule"
} | {
"index": 7847,
"need_tools_kwargs": true,
"question": "John, Mary, Alice, Bob, and Clara are seated at random around a rectangular table, with two people on the longer sides and one person on each shorter side. Calculate the probability that John and Mary are seated next to each other on one of the longer sides.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\left( 2, \\frac{11 \\pi}{8} \\right)",
"style": "rule"
} | {
"index": 7848,
"need_tools_kwargs": true,
"question": "In polar coordinates, the point $\\left( -2, \\frac{3 \\pi}{8} \\right)$ is equivalent to what other point, in the standard polar coordinate representation? Enter your answer in the form $(r,\\theta),$ where $r > 0$ and $0 \\le \\theta < 2 \\pi.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "13",
"style": "rule"
} | {
"index": 7849,
"need_tools_kwargs": true,
"question": "If $f(x) = (x-1)^3 + 1$, calculate the value of $f(-5) + f(-4) + \\ldots + f(0) + \\ldots + f(7)$.",
"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": 7850,
"need_tools_kwargs": true,
"question": "Let $\\omega$ be a nonreal root of $z^3 = 1.$ Find the number of different possible values of\n\\[(\\omega + 1)^n,\\]where $n$ is a positive integer.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "an American indie pop duo",
"style": "rule"
} | {
"index": 7851,
"need_tools_kwargs": true,
"question": "who made their debut single \"hey Mami\" and had records released by a co-founder of Trekky Records?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "-0.2",
"style": "rule"
} | {
"index": 7852,
"need_tools_kwargs": true,
"question": "Martin, Tomáš and Jirka guessed the result of the following expression:\n\n$$\n2.4 - 1.5 \\cdot 3.6 \\div 2 =\n$$\n\nTheir average guess differed from the correct result by 0.4. Tomáš guessed $-1.2$ and Jirka guessed 1.7. Find the number that Martin guessed, knowing that the worst guess differed from the correct result by 2.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\$4000",
"style": "rule"
} | {
"index": 7853,
"need_tools_kwargs": true,
"question": "Brendan works online and is paid every week. Once he gets the money, he recharges his debit card with half of his pay. In June, he earned $5000 and bought himself a used car. His total amount of remaining money at the end of the month is $1000. What is the worth of the used car he bought?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7854,
"need_tools_kwargs": true,
"question": "Find the maximum length of a horizontal segment with endpoints on the graph of the function \\( y = x^3 - 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": "mixed martial arts",
"style": "rule"
} | {
"index": 7855,
"need_tools_kwargs": true,
"question": "What sport do Kim Min-soo and Sean Christopher Haire share?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7856,
"need_tools_kwargs": true,
"question": "What nationality is the director of film The Opera Ball?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "a < c < b",
"style": "rule"
} | {
"index": 7857,
"need_tools_kwargs": true,
"question": "Given \\( a = \\log_{4} e \\), \\( b = \\log_{3} 4 \\), and \\( c = \\log_{4} 5 \\), determine the relationship between the magnitudes of \\( a \\), \\( b \\), and \\( c \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "108",
"style": "rule"
} | {
"index": 7858,
"need_tools_kwargs": true,
"question": "Triangles $\\triangle ABC$ and $\\triangle A'B'C'$ lie in the coordinate plane with vertices $A(0,0)$, $B(0,12)$, $C(16,0)$, $A'(24,18)$, $B'(36,18)$, $C'(24,2)$. A rotation of $m$ degrees clockwise around the point $(x,y)$ where $0<m<180$, will transform $\\triangle ABC$ to $\\triangle A'B'C'$. Find $m+x+y$.\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": "127",
"style": "rule"
} | {
"index": 7859,
"need_tools_kwargs": true,
"question": "The terms of the sequence $(b_i)$ defined by $b_{n + 2} = \\frac {b_n + 4030} {1 + b_{n + 1}}$ for $n \\ge 1$ are positive integers. Find the minimum possible value of $b_1 + b_2$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac {1}{10}",
"style": "rule"
} | {
"index": 7860,
"need_tools_kwargs": true,
"question": "Given $$\\frac {cosα+sinα}{cosα-sinα} = 2$$, then $1+3\\sinα\\cdot\\cosα-2\\cos^2α=$ \\_\\_\\_\\_\\_\\_ .",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7861,
"need_tools_kwargs": true,
"question": "Let $x > y > z > 0$ be real numbers. Find the minimum value of\n\\[x + \\frac{108}{(x - y)^3 (y - z)^2 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... | qa | {
"ground_truth": "78,793",
"style": "rule"
} | {
"index": 7862,
"need_tools_kwargs": true,
"question": " Hell Gate seperates Randall's and Wards Islands from a neighborhood with a population 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... | math | {
"ground_truth": "\\frac{66}{7}",
"style": "rule"
} | {
"index": 7863,
"need_tools_kwargs": true,
"question": "In a convex quadrilateral \\(PQRS\\), the lengths of sides are given as \\(PQ = 15\\) and \\(RS = 20\\), while the length of diagonal \\(PR\\) is \\(22\\). The diagonals \\(PR\\) and \\(QS\\) intersect at point \\(T\\), and it is known that the areas of triangles \\(PTR\\) and \\(QTS\\) are equal. Determine the length of segment \\(QT\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1176",
"style": "rule"
} | {
"index": 7864,
"need_tools_kwargs": true,
"question": "Find an integral solution of the equation: \n\\[ \\left \\lfloor \\frac{x}{1!} \\right \\rfloor + \\left \\lfloor \\frac{x}{2!} \\right \\rfloor + \\left \\lfloor \\frac{x}{3!} \\right \\rfloor + \\dots + \\left \\lfloor \\frac{x}{10!} \\right \\rfloor = 2019. \\] \n\nNote: \\( \\lfloor u \\rfloor \\) stands for the greatest integer less than or equal to \\( u \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7865,
"need_tools_kwargs": true,
"question": "Are director of film Purappadu (1990 film) and director of film Il mostro (1977 film) from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "500H",
"style": "rule"
} | {
"index": 7866,
"need_tools_kwargs": true,
"question": "A group of men with varying work rates decided to complete a project in 50 days. However, 10 of them could not participate. The rest of the group, now having to work longer hours, managed to finish the work in 60 days. If the sum of the work rates of the original group was 100 units per day, find the original number of men and the total number of extra working hours contributed by the rest of the group. Assume that each man worked the same number of hours each 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": "BWF World Ranking",
"style": "rule"
} | {
"index": 7867,
"need_tools_kwargs": true,
"question": "Kim Hyo-min was defeated in the final round of the 2014 Macau Open Grand Prix Gold by an Indian professional badminton player, who is currently world no 2 in 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": "\\$11058.82",
"style": "rule"
} | {
"index": 7868,
"need_tools_kwargs": true,
"question": "Kanul spent $5000 on buying raw materials, $200 on purchasing machinery, and $1200 on employee wages. Additionally, he spends 15% of the total amount he has as cash on maintenance costs. If after these expenses, he wants to have a remaining balance of at least $3000 in his account, what was the total amount he initially had?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "33",
"style": "rule"
} | {
"index": 7869,
"need_tools_kwargs": true,
"question": "Thirty-nine students from seven classes invented 60 problems, with the students from each class inventing the same number of problems (which is not zero), and the students from different classes inventing different numbers of problems. How many students invented one problem each?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7870,
"need_tools_kwargs": true,
"question": "已知实数 $a, b, c$ 成公差非 0 的等差数列, 在平面直角坐标系中. 点 $P$ 的坐标为 $(-3, 2)$。点 $N$ 的坐标为 $(2, 3)$。过点 $P$ 作直线 $a x+b y+c=0$ 的垂线。垂足为点 $M$ 。求 $M$, $N$ 间的距离的最大值与最小值的乘积。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7871,
"need_tools_kwargs": true,
"question": "Suppose $a, b, c, x, y, z$ are pairwise different real numbers. How many terms in the following expression can be equal to $1$ at most? \n\n$$\n\\begin{aligned}\n&ax + by + cz, & & ax + bz + cy, & & ay + bx + cz, \\\\\n&ay + bz + cx, & & az + bx + cy, & & az + by + cx\n\\end{aligned}\n$$",
"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": "Mexico City",
"style": "rule"
} | {
"index": 7872,
"need_tools_kwargs": true,
"question": "Where did the director of film The New World (1957 Film) die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Sena Jeter Naslund",
"style": "rule"
} | {
"index": 7873,
"need_tools_kwargs": true,
"question": "Who was the Program Director for the MFA in Writing for a university affiliated with the Sisters of Charity of Nazareth?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Yumiko Hotta",
"style": "rule"
} | {
"index": 7874,
"need_tools_kwargs": true,
"question": "The inaugural Daily Sports Women's Tag Team Championship included which MMA fighter on the losing team?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Gallarate",
"style": "rule"
} | {
"index": 7875,
"need_tools_kwargs": true,
"question": "Where was the director of film Fury Of The Pagans 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": "Czechoslovakia",
"style": "rule"
} | {
"index": 7876,
"need_tools_kwargs": true,
"question": "Jay Russell studied with a film director who was primarily working from 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... | math | {
"ground_truth": "253",
"style": "rule"
} | {
"index": 7877,
"need_tools_kwargs": true,
"question": "Let $a$, $b$, and $c$ be positive integers with $a \\ge b \\ge c$ such that\n$a^2-b^2-c^2+ab=2011$ and\n$a^2+3b^2+3c^2-3ab-2ac-2bc=-1997$.\n\nWhat is the value of $a$?",
"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": "\\tfrac 94",
"style": "rule"
} | {
"index": 7878,
"need_tools_kwargs": true,
"question": "Let $a,$ $b,$ $c,$ and $d$ be the roots of \\[x^4 + 8x^3 + 9x^2 + 5x + 4 = 0.\\]Find the value of \\[\\frac{1}{ab} + \\frac{1}{ac} + \\frac{1}{ad} + \\frac{1}{bc} + \\frac{1}{bd} + \\frac{1}{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": "755 acres",
"style": "rule"
} | {
"index": 7879,
"need_tools_kwargs": true,
"question": "How large is the civil parish and townland in which Stephen Brown was 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": "\\frac{2}{3}",
"style": "rule"
} | {
"index": 7880,
"need_tools_kwargs": true,
"question": "In a right triangle \\(ABE\\) where \\(\\angle ABE = 90^\\circ\\), vertex \\(E\\) is located on the edge of square \\(ABCD\\) such that \\(E\\) is on side \\(BC\\). The square \\(ABCD\\) has a side length of 2 units. If point \\(F\\) is the intersection of diagonal \\(BD\\) and line segment \\(AE\\), determine the area of triangle \\(ABF\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "22",
"style": "rule"
} | {
"index": 7881,
"need_tools_kwargs": true,
"question": "Jeff takes all $7$ different Tetris pieces and puts them next to each other to make a shape. Each piece has an area of $4$. Find the least possible perimeter of such a shape.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 7882,
"need_tools_kwargs": true,
"question": "Let \\(A\\), \\(M\\), and \\(C\\) be digits such that the equation \\((100A + 10M + C)(A + M + C) = 2040\\) holds true, and \\(A + M + C\\) is an even number. Determine the value of \\(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": "October 2005",
"style": "rule"
} | {
"index": 7883,
"need_tools_kwargs": true,
"question": "When was the journal, for which Mark Buchanan writes a monthly column, first published ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "3225600",
"style": "rule"
} | {
"index": 7884,
"need_tools_kwargs": true,
"question": "Let N be the number of distinct rearrangements of the 34 letters in SUPERCALIFRAGILISTICEXPIALIDOCIOUS. How many positive factors does $N$ 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": "1.948",
"style": "rule"
} | {
"index": 7885,
"need_tools_kwargs": true,
"question": "In a right triangle, one of the acute angles $\\alpha$ satisfies\n\\[\\tan \\frac{\\alpha}{2} = \\frac{1}{\\sqrt[3]{2}}.\\]Let $\\theta$ be the angle between the median and the angle bisector drawn from this acute angle. Find $\\tan \\theta.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1954",
"style": "rule"
} | {
"index": 7886,
"need_tools_kwargs": true,
"question": "In what year was the woman whose former chief of staff was Rachel Noerdlinger 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": "6 July 1976",
"style": "rule"
} | {
"index": 7887,
"need_tools_kwargs": true,
"question": "What is the date of death of Widukind Lenz's father?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 7888,
"need_tools_kwargs": true,
"question": "Are both directors of films Double Agent 73 and Amoklauf 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": "American",
"style": "rule"
} | {
"index": 7889,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song I'M Beamin'?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "two Pulitzer Prizes",
"style": "rule"
} | {
"index": 7890,
"need_tools_kwargs": true,
"question": "Which major awards did the author of the play Seven Guitars receive for his work ? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "300",
"style": "rule"
} | {
"index": 7891,
"need_tools_kwargs": true,
"question": "There are two stores offering discounts on Camera $Y$. The list price of Camera $Y$ is $\\$59.99$. Store A offers a $15\\%$ discount, while Store B offers a flat $\\$12$ discount. How much cheaper, in cents, is the cheaper store's price for Camera $Y$ compared to the more expensive store?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 17, 1891",
"style": "rule"
} | {
"index": 7892,
"need_tools_kwargs": true,
"question": "When is the director of film The Shadow Laughs (Film) '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": "0.0704",
"style": "rule"
} | {
"index": 7893,
"need_tools_kwargs": true,
"question": "Find\n\\[\\min_{y \\in \\mathbb{R}} \\max_{0 \\le x \\le 1} |x^2 - xy|.\\]",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "\\$0.50",
"style": "rule"
} | {
"index": 7894,
"need_tools_kwargs": true,
"question": "John buys 20 bars of soap each weighing 1.5 pounds. He spent $15 on soap. What is the cost per pound of the soap?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7895,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song It'S Just About Time?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1.6\\times10^{13}",
"style": "rule"
} | {
"index": 7896,
"need_tools_kwargs": true,
"question": "Given the formula \\( N = 4 \\times 10^9 \\times x^{-1/2} \\), which represents the number of individuals whose income exceeds \\( x \\) dollars, determine the lowest income, in dollars, of the wealthiest 1000 individuals.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 7897,
"need_tools_kwargs": true,
"question": "Do both films, The Second Woman (1953 Film) and Mary Kom (Film), have the directors who are from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Australian",
"style": "rule"
} | {
"index": 7898,
"need_tools_kwargs": true,
"question": "What is the nationality of the Spinnerette born Bree Joanna Alice Robinson?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "European champion",
"style": "rule"
} | {
"index": 7899,
"need_tools_kwargs": true,
"question": "Natalia Bestemianova performed with her partner in winning what competition five times?",
"split": "train"
} | null |
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