data_source stringclasses 1
value | prompt listlengths 2 2 | ability stringclasses 2
values | reward_model dict | extra_info dict | metadata null |
|---|---|---|---|---|---|
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 1100,
"need_tools_kwargs": true,
"question": "Do both films, Terror (1977 Film) and The Crushed Idol, have the directors who are from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "184",
"style": "rule"
} | {
"index": 1101,
"need_tools_kwargs": true,
"question": "We define a number as a mountain number if its middle digits are larger than any other digits (for even digit numbers, consider the pair as the middle). For instance, 7397 and 4956 are mountain numbers. How many 4-digit mountain numbers 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... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"index": 1102,
"need_tools_kwargs": true,
"question": "In order to glaze 15 windows of various sizes and shapes, 15 panes of glass have been prepared exactly according to the windows (each window requires one pane). The glazier, not knowing that the panes have been matched, works as follows: he approaches the next window and sifts through the unused panes until he finds one that is large enough (either exactly fitting or one that can be cut to fit). If he cannot find such a pane, he moves on to the next window, and so on, until all the windows have been approached. It is not allowed to assemble a pane from multiple parts. What is the maximum number of windows that can remain unglazed?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1103,
"need_tools_kwargs": true,
"question": "Let $ABCDA'B'C'D'$ be a rectangular parallelepiped, where $ABCD$ is the lower face and $A, B, C$, and $D$ are below $A', B', C'$, and $D'$, respectively. The parallelepiped is divided into eight parts by three planes parallel to its faces. For each vertex $P$, let $V_P$ denote the volume of the part containing $P$. Given that $V_A = 40$, $V_C = 300$, $V_{B'} = 360$, and $V_{C'} = 90$, find the volume of $ABCDA'B'C'D'$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "87",
"style": "rule"
} | {
"index": 1104,
"need_tools_kwargs": true,
"question": "Calculate the inverse of 36 modulo 101.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1105,
"need_tools_kwargs": true,
"question": "Evaluate the following:\n\\[ \\int_{0}^{\\infty}\\left(x-\\frac{x^3}{2}+\\frac{x^5}{2\\cdot 4}-\\frac{x^7}{2\\cdot 4\\cdot 6}+\\cdots \\right)\\;\\left(1+\\frac{x^2}{2^2}+\\frac{x^4}{2^2\\cdot 4^2}+\\frac{x^6}{2^2\\cdot 4^2\\cdot 6^2}+\\cdots \\right)\\,\\mathrm{d}x \\]\nThe original answer is in the form of \\sqrt{k}*e^m. Please find the value of k + m.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1975",
"style": "rule"
} | {
"index": 1106,
"need_tools_kwargs": true,
"question": "In a room, there are 2019 aligned switches, each connected to a light bulb. Initially, all the light bulbs are switched on. Then, 2019 people enter the room one by one and perform the following operation: \n\n- The first person toggles every switch.\n- The second person toggles every second switch.\n- The third person toggles every third switch.\n- This continues until the 2019th person toggles every 2019th switch.\n\nDetermine how many light bulbs remain switched on after all 2019 people have entered the room and completed their operations.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "German",
"style": "rule"
} | {
"index": 1107,
"need_tools_kwargs": true,
"question": "What nationality is Princess Ida Of Anhalt-Bernburg-Schaumburg-Hoym's father?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "6.3",
"style": "rule"
} | {
"index": 1108,
"need_tools_kwargs": true,
"question": "Two lines intersect at the point \\((1, 1)\\), one having a slope of \\(\\frac{3}{2}\\) and the other a slope of \\(\\frac{1}{3}\\). Additionally, there is a line represented by the equation \\(x + y = 8\\). Determine the area of the triangle formed by these two lines and the line \\(x + y = 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": "United Kingdom",
"style": "rule"
} | {
"index": 1109,
"need_tools_kwargs": true,
"question": "Archean Soundtrack are best known for their single \"Reach\", the music video of which was directed by Duncan Guymer, who oversaw the viral marketing videos for Thorpe Park's new ride, \"The Swarm\", a steel Wing Coaster at Thorpe Park, a theme park that is located where?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Wyatt",
"style": "rule"
} | {
"index": 1110,
"need_tools_kwargs": true,
"question": "What character did Alex Saxon play in an American family drama television series created by Peter Paige and Bradley Bredeweg which first premiered in the United States on June 3, 2013?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1111,
"need_tools_kwargs": true,
"question": "The angle $A$ at the vertex of the isosceles triangle $ABC$ is $100^{\\circ}$. On the ray $AB$, a segment $AM$ is laid off, equal to the base $BC$. Find the measure of the angle $BCM$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "80",
"style": "rule"
} | {
"index": 1112,
"need_tools_kwargs": true,
"question": "Consider the set \\( S \\) consisting of all points with coordinates \\( (x,y,z) \\), where \\( x, y, z \\) are each chosen from the set \\( \\{0,1,2\\} \\). Determine how many equilateral triangles can be formed with vertices in the set \\( S \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "32",
"style": "rule"
} | {
"index": 1113,
"need_tools_kwargs": true,
"question": "Given that $F$ is the right focus of the hyperbola $C:x^{2}-\\frac{y^{2}}{8}=1$, and $P$ is a point on the left branch of $C$, $A(0,6\\sqrt{6})$, the minimum perimeter of $\\triangle APF$ 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": "798",
"style": "rule"
} | {
"index": 1114,
"need_tools_kwargs": true,
"question": "Let $A$ be the set $\\{k^{19}-k: 1<k<20, k\\in N\\}$ . Let $G$ be the GCD of all elements of $A$ .\nThen the value of $G$ is?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Frankfurt",
"style": "rule"
} | {
"index": 1115,
"need_tools_kwargs": true,
"question": "What is the place of birth of Julia Bodmer's husband?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-\\frac12",
"style": "rule"
} | {
"index": 1116,
"need_tools_kwargs": true,
"question": "Solve \\[\\frac{x^2+x+1}{x+1}=x+2\\]for $x$.",
"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": "April 18, 1956",
"style": "rule"
} | {
"index": 1117,
"need_tools_kwargs": true,
"question": "When is Keaton Simons's father'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": "Highest Alemannic",
"style": "rule"
} | {
"index": 1118,
"need_tools_kwargs": true,
"question": "To which group of dialects does the \"Walserdeutsch\" dialect spoken in the German town of Issime belong?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{70}",
"style": "rule"
} | {
"index": 1119,
"need_tools_kwargs": true,
"question": "Calculate $\\frac{1}{5} \\cdot \\frac{2}{6} \\cdot \\frac{3}{7} \\cdot \\frac{4}{8} \\cdots \\frac{54}{59} \\cdot \\frac{55}{60}$. Express your answer as a common fraction.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Naomi",
"style": "rule"
} | {
"index": 1120,
"need_tools_kwargs": true,
"question": "What is the first name of the mother of the artist who recorded Come Some Rainy 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": "Álvaro Borja Morata Martín",
"style": "rule"
} | {
"index": 1121,
"need_tools_kwargs": true,
"question": "What Spanish footballer scored a goal after extra time in the 2015–16 Coppa Italia?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Freed",
"style": "rule"
} | {
"index": 1122,
"need_tools_kwargs": true,
"question": "What is the surname of the individual who won the Marlow Award in 1973?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1123,
"need_tools_kwargs": true,
"question": "Let \\( a^3 - a - 1 = 0 \\). Find the exact value of the expression \n\\[\n\\sqrt[3]{3a^2-4a} + a\\sqrt[4]{2a^2+3a+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": "Buenos Aires",
"style": "rule"
} | {
"index": 1124,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Galleguita?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "30",
"style": "rule"
} | {
"index": 1125,
"need_tools_kwargs": true,
"question": "Ivan Semenovich drives to work at the same time every day, travels at the same speed, and arrives exactly at 9:00 AM. One day he overslept and left 40 minutes later than usual. To avoid being late, Ivan Semenovich drove at a speed that was 60% greater than usual and arrived at 8:35 AM. By what percentage should he have increased his usual speed to arrive exactly at 9:00 AM?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1126,
"need_tools_kwargs": true,
"question": "求所有的实系数多项式 P(x)，使得对任意实数 x\\in[-1,1]，均有P(x\\sqrt{2})=P(x+\\sqrt{1-x^2})。原始答案为\\left((ax^2-b)^2-\\frac{c}{d}\\right)^2格式，请给出a+b+c+d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... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"index": 1127,
"need_tools_kwargs": true,
"question": "A pucelana sequence is an increasing sequence of sixteen consecutive positive odd numbers whose sum is a perfect cube. How many pucelana sequences have only three-digit numbers?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Nassau County",
"style": "rule"
} | {
"index": 1128,
"need_tools_kwargs": true,
"question": "Zimbabwe's Guwe Secondary School has a sister school in what New York cunty?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "33,531 acres",
"style": "rule"
} | {
"index": 1129,
"need_tools_kwargs": true,
"question": "What is the total land area of the airport at which the Continental Airlines Flight 1404 crash happened?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-\\frac{61}{2}",
"style": "rule"
} | {
"index": 1130,
"need_tools_kwargs": true,
"question": "Let $g(x)$ be a function piecewise defined as \\[g(x) = \\left\\{\n\\begin{array}{cl}\n-x & x\\le 0, \\\\\n2x-41 & x>0.\n\\end{array}\n\\right.\\] If $a$ is negative, find $a$ so that $g(g(g(10.5)))=g(g(g(a)))$.",
"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... | qa | {
"ground_truth": "Lusaka",
"style": "rule"
} | {
"index": 1131,
"need_tools_kwargs": true,
"question": "What is the capital city of the country in which the island of Isokwe is located ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Swedish",
"style": "rule"
} | {
"index": 1132,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Days Like This (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": "Beverly Hills",
"style": "rule"
} | {
"index": 1133,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Jungle Captive?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 1134,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Prince Of Arcadia?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Nursemaid Who Disappeared",
"style": "rule"
} | {
"index": 1135,
"need_tools_kwargs": true,
"question": "Which film was released first, Magic Tree House (Film) or The Nursemaid Who Disappeared?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Kyle O'Reilly",
"style": "rule"
} | {
"index": 1136,
"need_tools_kwargs": true,
"question": "Which Canadian professional wrestler was part of a team with Bobby Fish?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "265",
"style": "rule"
} | {
"index": 1137,
"need_tools_kwargs": true,
"question": "Janet rolls a standard 6-sided die 4 times and keeps a running total of the numbers she rolls. What is the probability that at some point, her running total will equal 3? Express your answer as a fraction in simplest form, in the format \\(\\frac{k}{m}\\). Please give the value of k + m.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1.4285714285714286",
"style": "rule"
} | {
"index": 1138,
"need_tools_kwargs": true,
"question": "Given vectors $\\mathbf{v}$ and $\\mathbf{w}$ such that $\\|\\mathbf{v}\\| = 3,$ $\\|\\mathbf{w}\\| = 7,$ and $\\mathbf{v} \\cdot \\mathbf{w} = 10,$ then find $\\|\\operatorname{proj}_{\\mathbf{w}} \\mathbf{v}\\|.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "boxer",
"style": "rule"
} | {
"index": 1139,
"need_tools_kwargs": true,
"question": "what does Dominic Breazeale and Anthony Joshua 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": "\\frac{59}{72}",
"style": "rule"
} | {
"index": 1140,
"need_tools_kwargs": true,
"question": "Given an arithmetic-geometric sequence {$a_n$} with the first term as $\\frac{4}{3}$ and a common ratio of $- \\frac{1}{3}$. The sum of its first n terms is represented by $S_n$. If $A ≤ S_{n} - \\frac{1}{S_{n}} ≤ B$ holds true for any n∈N*, find the minimum value of B - 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... | qa | {
"ground_truth": "Fourth Liberty Loans: I Had A Son",
"style": "rule"
} | {
"index": 1141,
"need_tools_kwargs": true,
"question": "Which film whose director was born first, Fourth Liberty Loans: I Had A Son or The Birdwatcher?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Lauren Alaina",
"style": "rule"
} | {
"index": 1142,
"need_tools_kwargs": true,
"question": "What American country music singer and songwriter from Rossville, Georgia, worked with Julian King, a Grammy Award-winning recording engineer, mix engineer, record producer and musician based in Nashville, Tennessee?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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",
"style": "rule"
} | {
"index": 1143,
"need_tools_kwargs": true,
"question": "How many children did clarinetist Wally \"Trog\" Fawkes have?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Berlin",
"style": "rule"
} | {
"index": 1144,
"need_tools_kwargs": true,
"question": "Where did the director of film The Adventures Of Sybil Brent 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": "composer and pianist",
"style": "rule"
} | {
"index": 1145,
"need_tools_kwargs": true,
"question": "What was the occupation of the person whose first serious lover was Richard Chanlaire?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "9.0",
"style": "rule"
} | {
"index": 1146,
"need_tools_kwargs": true,
"question": "For an integer \\( n \\geq 2 \\) and non-negative real numbers \\( a_1, a_2, \\ldots, a_n \\) satisfying \\( \\sum_{i=1}^{n} a_i = 4 \\), find the maximum possible value of \\( 2a_1 + a_1a_2 + a_1a_2a_3 + \\ldots + a_1a_2 \\ldots a_n \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Joseph Jackson",
"style": "rule"
} | {
"index": 1147,
"need_tools_kwargs": true,
"question": "Who is the father of the performer of song Smooth Criminal?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "180",
"style": "rule"
} | {
"index": 1148,
"need_tools_kwargs": true,
"question": "The following diagram shows a square where each side has seven dots that divide the side into six equal segments. All the line segments that connect these dots and form a $45^{\\circ}$ angle with a side of the square are drawn as shown. The area of the shaded region is 75. Find the area of the original square.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "224",
"style": "rule"
} | {
"index": 1149,
"need_tools_kwargs": true,
"question": "Let a sequence be defined as follows: $a_1 = 3,$ $a_2 = 3,$ and for $n \\ge 2,$\n\\[a_{n + 1} a_{n - 1} = a_n^2 + 2007.\\]Find the largest integer less than or equal to $\\frac{a_{2007}^2+a_{2006}^2}{a_{2007}a_{2006}}$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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: 1",
"style": "rule"
} | {
"index": 1150,
"need_tools_kwargs": true,
"question": "Given vectors $\\vec{a} =(-1,2)$ and $\\vec{b} =(1,1)$, find $\\vec{a} \\cdot \\vec{b} =$( )\nA: $3$\nB: $2$\nC: $1$\nD: $0$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Alberto Savinio",
"style": "rule"
} | {
"index": 1151,
"need_tools_kwargs": true,
"question": "What is the name of the sibling to the artist who created Gare Montparnasse?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 \\colon (-\\infty,1) \\cup (2,+\\infty)",
"style": "rule"
} | {
"index": 1152,
"need_tools_kwargs": true,
"question": "Consider the function $f(x)=-x^{2}+ \\frac {6}{2+|x|}$. Find the range of values of $x$ which satisfies the inequality $f(2x-3) < f(1)$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Austrian",
"style": "rule"
} | {
"index": 1153,
"need_tools_kwargs": true,
"question": "What nationality is the composer of film The Beggar Student (1927 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": "for creating the first gasoline-electric hybrid vehicle (Lohner-Porsche), the Volkswagen Beetle, the Mercedes-Benz SS/SSK, several other important developments and Porsche automobiles",
"style": "rule"
} | {
"index": 1154,
"need_tools_kwargs": true,
"question": "What is the person who called Tazio Nuvolari \"the greatest driver of the past, the present, and the future\" best known for?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 1155,
"need_tools_kwargs": true,
"question": "Are both Taqlar and Tazehabad-E Melleh Tarshi 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": "4 June 1940",
"style": "rule"
} | {
"index": 1156,
"need_tools_kwargs": true,
"question": "Opus Dei was the Laibach album that includes a song that has lyrics from the Churchill speech given to the House of Commons on 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... | qa | {
"ground_truth": "Frankfurt",
"style": "rule"
} | {
"index": 1157,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Little Papa?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1158,
"need_tools_kwargs": true,
"question": "Given the system of equations\n\\begin{align*}\nxy &= 12 - 3x - 4y,\\\\\nyz &= 8 - 2y - 3z,\\\\\nxz &= 42 - 5x - 6z,\n\\end{align*}\nfind the positive solution of $x$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Antonio Aakeel",
"style": "rule"
} | {
"index": 1159,
"need_tools_kwargs": true,
"question": "What English actor appears alongside Allicaia Vikander, Walton Goggins, Daniel Wu and Dominic West in an upcoming 2018 American action adventure film based on a 2018 video game?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "William Francis Kemmler",
"style": "rule"
} | {
"index": 1160,
"need_tools_kwargs": true,
"question": "Edwin F. Davis, of Corning, Steuben County, New York was the first \"state electrician\" (executioner) for the State of New York, Davis performed 240 executions between 1890 and 1914, including the first person to be executed by electric chair, including which convicted murderer, and the first person in the world to be legally executed using an electric chair?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Luis de Góngora",
"style": "rule"
} | {
"index": 1161,
"need_tools_kwargs": true,
"question": "What was the municipality of Yarumal, Antioquia, Colombia, originally named when it was first founded?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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",
"style": "rule"
} | {
"index": 1162,
"need_tools_kwargs": true,
"question": "Which of the following is equal to \\( 20(x+y) - 19(y+x) \\) for all values of \\( x \\) and \\( y \\) ?\n(A) \\( 39x + 39y \\)\n(B) \\( x + y \\)\n(C) \\( 39x + y \\)\n(D) \\( x + 39y \\)\n(E) \\( 19x - 18y \\)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "184",
"style": "rule"
} | {
"index": 1163,
"need_tools_kwargs": true,
"question": "In a triangular array of numbers, each row contains an increasing number of elements, specifically the $k$-th row has $2k-1$ numbers. Given that the number $185$ is located in this array, determine the number that is directly above it.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2175",
"style": "rule"
} | {
"index": 1164,
"need_tools_kwargs": true,
"question": "If $g(x) = 2x^2 - 3$ and $h(x) = 4x^3 +1$, what is the value of $g(h(2))$?",
"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": "Gwyneth Evelyn “Gwen” Verdon",
"style": "rule"
} | {
"index": 1165,
"need_tools_kwargs": true,
"question": "Nicole Fosse is the only daughter of which Tony award winning American actress with flaming red hair?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 seasons.",
"style": "rule"
} | {
"index": 1166,
"need_tools_kwargs": true,
"question": "How many years was the man who was the new head coach of the St. Louis Rams in 2006, a college assistant coach ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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, 1, 2, 4",
"style": "rule"
} | {
"index": 1167,
"need_tools_kwargs": true,
"question": "The roots of $(x^{2}-3x+2)(x)(x-4)=0$ are:\n$\\textbf{(A)}\\ 4\\qquad\\textbf{(B)}\\ 0\\text{ and }4\\qquad\\textbf{(C)}\\ 1\\text{ and }2\\qquad\\textbf{(D)}\\ 0,1,2\\text{ and }4\\qquad\\textbf{(E)}\\ 1,2\\text{ and }4$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1168,
"need_tools_kwargs": true,
"question": "Let $p$, $q$, $r$, and $s$ be real numbers such that $|p-q|=1$, $|q-r|=5$, and $|r-s|=6$. What is the sum of all possible values of $|p-s|$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "18 November 1888",
"style": "rule"
} | {
"index": 1169,
"need_tools_kwargs": true,
"question": "When was the director of film Servant'S Entrance 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": "60",
"style": "rule"
} | {
"index": 1170,
"need_tools_kwargs": true,
"question": "In triangle \\(ABC\\), side \\(AB\\) measures 21 units, the length of the angle bisector \\(BD\\) is \\(8 \\sqrt{7}\\) units, and segment \\(DC\\) is 8 units long. Determine the perimeter of triangle \\(ABC\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "47.7",
"style": "rule"
} | {
"index": 1171,
"need_tools_kwargs": true,
"question": "A train travels between five stations (A, B, C, D, and E) with varying speeds and stoppage durations. The speeds between each station are as follows: A to B at 60 kmph, B to C at 50 kmph, C to D at 55 kmph, and D to E at 45 kmph. The train stops for 2 minutes at B, 3 minutes at C, and 4 minutes at D (no stop at the final station E). Given that the distances between A to B, B to C, C to D, and D to E are 30 km, 25 km, 15 km, and 35 km respectively, calculate the train's overall average speed from A to E, including stoppage 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... | qa | {
"ground_truth": "The Five-Year Engagement",
"style": "rule"
} | {
"index": 1172,
"need_tools_kwargs": true,
"question": "In which film, co-written, directed, and produced by Nicholas Stoller, did Da'Vone McDonald briefly appear in?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "108th",
"style": "rule"
} | {
"index": 1173,
"need_tools_kwargs": true,
"question": "On what birthday of Dr. Seuss was a film Kool Kojak worked on released?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "55",
"style": "rule"
} | {
"index": 1174,
"need_tools_kwargs": true,
"question": "In the diagram, $PRT$ and $QRS$ are straight lines. What is the value of $x$? [asy]\nimport olympiad;\nimport math;\n\nsize(6cm); // ADJUST\n\npair r = (0, 0);\npair t = dir(-55);\npair s = dir(-55 - 70);\npair p = dir(-55 + 180);\nreal qr = Sin(70) / Sin(40);\n\npair q = qr * dir(-55 - 70 + 180);\n\ndraw(r--p--q--s--t--r);\n\nlabel(\"$R$\", r, 2 * E);\nlabel(\"$T$\", t, SE);\nlabel(\"$S$\", s, SW);\nlabel(\"$P$\", p, W);\nlabel(\"$Q$\", q, E);\n\nlabel(\"$x^\\circ$\", t, W + NW + NW);\nlabel(\"$40^\\circ$\", q, 4 * SW);\n\nadd(pathticks(p--q, spacing=1, s=4));\nadd(pathticks(q--r, spacing=1, s=4));\nadd(pathticks(r--s, 2, spacing=1, s=4));\nadd(pathticks(r--t, 2, spacing=1, s=4));\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": "3.75",
"style": "rule"
} | {
"index": 1175,
"need_tools_kwargs": true,
"question": "In square \\(ABCD\\), a point \\(E\\) is located on side \\(BC\\) such that \\(BE = 2\\) and \\(EC = 3\\). The circumscribed circle of triangle \\(ABE\\) intersects diagonal \\(BD\\) at another point \\(G\\). Calculate the area of triangle \\(AGE\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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}{21}",
"style": "rule"
} | {
"index": 1176,
"need_tools_kwargs": true,
"question": "Evaluate the expression \\(\\frac{1}{3 - \\frac{1}{3 - \\frac{1}{3 - \\frac{1}{3}}}}\\) and determine whether it is equal to \\(\\frac{3}{5}\\). Show your work and justify your 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": "no",
"style": "rule"
} | {
"index": 1177,
"need_tools_kwargs": true,
"question": "Do both films, Frankenstein Unbound and The Man Who Changed His Mind, have the directors who are from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "443",
"style": "rule"
} | {
"index": 1178,
"need_tools_kwargs": true,
"question": "Using the six digits $0, 1, 2, 3, 4, 5$, many positive integers can be formed. If they are arranged in ascending order as $1, 2, 3, 4, 5, 10, 11, 12, 13, \\cdots$, which position does 2015 hold in this sequence?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Naga fireballs",
"style": "rule"
} | {
"index": 1179,
"need_tools_kwargs": true,
"question": "Which phenomenon said to be often seen on the Mekong River is Mekhong Full Moon Party about",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "11 July 2007",
"style": "rule"
} | {
"index": 1180,
"need_tools_kwargs": true,
"question": "What is the date of death of Jana Cilliers's husband?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 1181,
"need_tools_kwargs": true,
"question": "Do both films Cofralandes, Chilean Rhapsody and 2 Guns have the directors from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "stuntman",
"style": "rule"
} | {
"index": 1182,
"need_tools_kwargs": true,
"question": "At which role the did the director of the 2007 South Korean crime thriller film starring Yunjin Kim and Park Hee-soon played before directing films?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Inglewood, California",
"style": "rule"
} | {
"index": 1183,
"need_tools_kwargs": true,
"question": "Where was the person who voiced the English version of Keitarō Urashima 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": "1536",
"style": "rule"
} | {
"index": 1184,
"need_tools_kwargs": true,
"question": "In a department, a manager hands out task memos to an assistant, placing each memo on top of a stack in the assistant's in-tray. The assistant, when finding time, processes the top memo from the stack. Throughout a particularly busy day, 11 memos numbered $1, 2, 3, \\ldots, 11$ are handed out in this order. Before taking a break, the assistant mentions that memos numbered $9$ and $10$ have already been processed but is silent about other memos. Based on this information, determine the number of different orders in which the remaining memos could be processed after the break. (Including the scenario where no memos are left to be processed.)",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Leeds",
"style": "rule"
} | {
"index": 1185,
"need_tools_kwargs": true,
"question": "Raymond Blanc OBE (born 19 November 1949) is a French chef, he is entirely self-taught, but has himself taught or employed other chefs including Marco Pierre White, is a British chef, restaurateur, and television personality from which city?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "[-1, 0)",
"style": "rule"
} | {
"index": 1186,
"need_tools_kwargs": true,
"question": "Find all values of $x$ so that $\\arctan x > \\arccos x$.",
"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": "2\\times10^{2011}",
"style": "rule"
} | {
"index": 1187,
"need_tools_kwargs": true,
"question": "Let \\( y \\) be the number represented as \\( 0.\\underbrace{0000...0000}_{2010 \\text{ zeros}}2 \\), where there are 2010 zeros after the decimal point. Express \\( y \\) in terms of powers of ten and determine which of the following expressions represents the largest number: \\( 3+y \\), \\( 3-y \\), \\( 4 \\cdot y \\), \\( \\frac{4}{y} \\), or \\( \\frac{y}{4} \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "0",
"style": "rule"
} | {
"index": 1188,
"need_tools_kwargs": true,
"question": "Let $ABCDEF$ be a regular hexagon of area $1$. Let $M$ be the midpoint of $DE$. Let $X$ be the intersection of $AC$ and $BM$, let $Y$ be the intersection of $BF$ and $AM$, and let $Z$ be the intersection of $AC$ and $BF$. If $[P]$ denotes the area of a polygon $P$ for any polygon $P$ in the plane, evaluate $[BXC] + [AYF] + [ABZ] - [MXZY]$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Woodland Hills, Los Angeles",
"style": "rule"
} | {
"index": 1189,
"need_tools_kwargs": true,
"question": "Where did the director of film Wanted At Headquarters 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": "Reggio Emilia",
"style": "rule"
} | {
"index": 1190,
"need_tools_kwargs": true,
"question": "What childhood city does Kobe Bryant love the most?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"index": 1191,
"need_tools_kwargs": true,
"question": "In triangle $\\triangle ABC$, $AB=3$, $AC=5$. If $O$ is the circumcenter of $\\triangle ABC$, then the value of $\\overrightarrow{AO} \\cdot \\overrightarrow{BC}$ 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": "64",
"style": "rule"
} | {
"index": 1192,
"need_tools_kwargs": true,
"question": "Suppose $f(x), g(x), h(x), p(x)$ are linear equations where $f(x) = x + 1$, $g(x) = -x + 5$, $h(x) = 4$, and $p(x) = 1$. Define new functions $j(x)$ and $k(x)$ as follows:\n$$j(x) = \\max\\{f(x), g(x), h(x), p(x)\\},$$\n$$k(x)= \\min\\{f(x), g(x), h(x), p(x)\\}.$$\nFind the length squared, $\\ell^2$, of the graph of $y=k(x)$ from $x = -4$ to $x = 4$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 1193,
"need_tools_kwargs": true,
"question": "Through a point on the hypotenuse of a right triangle, lines are drawn parallel to the legs of the triangle so that the triangle is divided into a square and two smaller right triangles. The area of one of the two small right triangles is \\(m\\) times the area of the square. The original answer is in the form \\(\\frac{k}{nm}\\). Find the value of \\(k + n\\), where the ratio of the area of the other small right triangle to the area of the square is expressed in this form.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Scottish Highlands",
"style": "rule"
} | {
"index": 1194,
"need_tools_kwargs": true,
"question": "Where is the Disney-Pixar film co-directed by the first woman to win the Academy Award for Best Animated Feature set?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "318",
"style": "rule"
} | {
"index": 1195,
"need_tools_kwargs": true,
"question": "In triangle $ABC$, $BC = 23$, $CA = 27$, and $AB = 30$. Points $V$ and $W$ are on $\\overline{AC}$ with $V$ on $\\overline{AW}$, points $X$ and $Y$ are on $\\overline{BC}$ with $X$ on $\\overline{CY}$, and points $Z$ and $U$ are on $\\overline{AB}$ with $Z$ on $\\overline{BU}$. In addition, the points are positioned so that $\\overline{UV}\\parallel\\overline{BC}$, $\\overline{WX}\\parallel\\overline{AB}$, and $\\overline{YZ}\\parallel\\overline{CA}$. Right angle folds are then made along $\\overline{UV}$, $\\overline{WX}$, and $\\overline{YZ}$. The resulting figure is placed on a level floor to make a table with triangular legs. Let $h$ be the maximum possible height of a table constructed from triangle $ABC$ whose top is parallel to the floor. Then $h$ can be written in the form $\\frac{k\\sqrt{m}}{n}$, where $k$ and $n$ are relatively prime positive integers and $m$ is a positive integer that is not divisible by the square of any prime. Find $k+m+n$.\n[asy] unitsize(1 cm); pair translate; pair[] A, B, C, U, V, W, X, Y, Z; A[0] = (1.5,2.8); B[0] = (3.2,0); C[0] = (0,0); U[0] = (0.69*A[0] + 0.31*B[0]); V[0] = (0.69*A[0] + 0.31*C[0]); W[0] = (0.69*C[0] + 0.31*A[0]); X[0] = (0.69*C[0] + 0.31*B[0]); Y[0] = (0.69*B[0] + 0.31*C[0]); Z[0] = (0.69*B[0] + 0.31*A[0]); translate = (7,0); A[1] = (1.3,1.1) + translate; B[1] = (2.4,-0.7) + translate; C[1] = (0.6,-0.7) + translate; U[1] = U[0] + translate; V[1] = V[0] + translate; W[1] = W[0] + translate; X[1] = X[0] + translate; Y[1] = Y[0] + translate; Z[1] = Z[0] + translate; draw (A[0]--B[0]--C[0]--cycle); draw (U[0]--V[0],dashed); draw (W[0]--X[0],dashed); draw (Y[0]--Z[0],dashed); draw (U[1]--V[1]--W[1]--X[1]--Y[1]--Z[1]--cycle); draw (U[1]--A[1]--V[1],dashed); draw (W[1]--C[1]--X[1]); draw (Y[1]--B[1]--Z[1]); dot(\"$A$\",A[0],N); dot(\"$B$\",B[0],SE); dot(\"$C$\",C[0],SW); dot(\"$U$\",U[0],NE); dot(\"$V$\",V[0],NW); dot(\"$W$\",W[0],NW); dot(\"$X$\",X[0],S); dot(\"$Y$\",Y[0],S); dot(\"$Z$\",Z[0],NE); dot(A[1]); dot(B[1]); dot(C[1]); dot(\"$U$\",U[1],NE); dot(\"$V$\",V[1],NW); dot(\"$W$\",W[1],NW); dot(\"$X$\",X[1],dir(-70)); dot(\"$Y$\",Y[1],dir(250)); dot(\"$Z$\",Z[1],NE);[/asy]\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": "31",
"style": "rule"
} | {
"index": 1196,
"need_tools_kwargs": true,
"question": "Let $S = \\{1, 2, 3, \\ldots, 12\\}$. How many subsets of $S$, excluding the empty set, have an even sum but not an even product?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Rome",
"style": "rule"
} | {
"index": 1197,
"need_tools_kwargs": true,
"question": "Where did the director of film The Woman Dressed As A Man 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": "May 1, 1991",
"style": "rule"
} | {
"index": 1198,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Malaya (Film)?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "[1,3)",
"style": "rule"
} | {
"index": 1199,
"need_tools_kwargs": true,
"question": "The monotonic increasing interval of the function $y=\\log_{\\frac{1}{4}}(-x^{2}+2x+3)$ is $(\\ )$ \nA: $\\left( -1,1 \\right]$ \nB: $\\left( -\\infty ,1 \\right)$ \nC: $\\left[ 1,3 \\right)$ \nD: $\\left( 1,+\\infty \\right)$",
"split": "train"
} | null |
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