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": "Toby Creswell",
"style": "rule"
} | {
"index": 4800,
"need_tools_kwargs": true,
"question": "Which Australian rock journalist and critic wrote the compendium of notable popular recordings which he considers are \"the great songs of all time\", including one by the American singer songwriter whose debut album was \"Songs in A Minor\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "21 June 2001",
"style": "rule"
} | {
"index": 4801,
"need_tools_kwargs": true,
"question": "What is the date of death of the composer of film Thaai Sollai Thattadhe?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1977",
"style": "rule"
} | {
"index": 4802,
"need_tools_kwargs": true,
"question": "The first performance of the opera \"Lord Byron\" was choreophraphed by a man that was awarded the Spingarn Medal in what year?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "December 1, 1926",
"style": "rule"
} | {
"index": 4803,
"need_tools_kwargs": true,
"question": "When was George Gaynes's wife born?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 4804,
"need_tools_kwargs": true,
"question": "Are both director of film Grey Lady (Film) and director of film Happy Endings? 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": "no",
"style": "rule"
} | {
"index": 4805,
"need_tools_kwargs": true,
"question": "Are the directors of films Night Life of New York and Black Journal both 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": "1,619 km2",
"style": "rule"
} | {
"index": 4806,
"need_tools_kwargs": true,
"question": "what is the surface area of the lagoon southwest of Dreverna",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "252",
"style": "rule"
} | {
"index": 4807,
"need_tools_kwargs": true,
"question": "Three generous friends, each of whom has candies, redistribute them as follows: Vasya gives part of his candies to Petya and Kolya, thereby doubling the number of candies they have. After that, Petya gives part of his candies to Kolya and Vasya, thereby doubling the number of candies they have as well. Finally, Kolya gives part of his candies to Vasya and Petya, whose counts also double. It turned out that Kolya had 36 candies both at the beginning and at the end. How many candies do the boys have in total?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "prostate cancer",
"style": "rule"
} | {
"index": 4808,
"need_tools_kwargs": true,
"question": "What is the cause of death of director of film Escape From The Dark?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Hoboken",
"style": "rule"
} | {
"index": 4809,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Magic Man (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": "425",
"style": "rule"
} | {
"index": 4810,
"need_tools_kwargs": true,
"question": "The sequence 2, 3, 5, 6, 7, 10, 11, $\\ldots$ contains all the positive integers from least to greatest that are neither squares nor cubes. What is the $400^{\\mathrm{th}}$ term of the 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": "Amman",
"style": "rule"
} | {
"index": 4811,
"need_tools_kwargs": true,
"question": "Where was the mother of Princess Nejla Bint Asem 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": "The Chronicles Of Riddick",
"style": "rule"
} | {
"index": 4812,
"need_tools_kwargs": true,
"question": "Which film whose director is younger, Collegiate (1926 Film) or The Chronicles Of Riddick?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "88644",
"style": "rule"
} | {
"index": 4813,
"need_tools_kwargs": true,
"question": "I am thinking of a five-digit number composed of even digits. If I swap the digit in the third position with any other digit, the number becomes smaller. Additionally, the first digit is double the last, and the second digit is double the second to last.\n\nWhat number am I thinking of?\n\n(M. Mach)\n\nHint: Can you compare the third digit with the others?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Frank Vincent",
"style": "rule"
} | {
"index": 4814,
"need_tools_kwargs": true,
"question": "What star of Remedy was born April 15, 1937?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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<a<2",
"style": "rule"
} | {
"index": 4815,
"need_tools_kwargs": true,
"question": "Given propositions p and q: \n\n- Proposition p: The range of the function $y=\\log_{0.5}(x^2+2x+a)$ is $\\mathbb{R}$.\n- Proposition q: The function $y=-(5-2a)^x$ is a decreasing function.\n\nIf either p or q is true, but not both, then the range of the real number $a$ is?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "2 March 1991",
"style": "rule"
} | {
"index": 4816,
"need_tools_kwargs": true,
"question": "What is the date of death of Caroline Paulus'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": "1",
"style": "rule"
} | {
"index": 4817,
"need_tools_kwargs": true,
"question": "How many ordered pairs of positive integers $(x,y)$ are there such that $y^2-x^2=2y+7x+4$?",
"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... | qa | {
"ground_truth": "albums in the US",
"style": "rule"
} | {
"index": 4818,
"need_tools_kwargs": true,
"question": "\"High Maintenance\" is a song that features the lead vocalist of a band that has sold 9.2 million what?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Barcelona",
"style": "rule"
} | {
"index": 4819,
"need_tools_kwargs": true,
"question": "Where was the director of film 100 Meters 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": "no",
"style": "rule"
} | {
"index": 4820,
"need_tools_kwargs": true,
"question": "Do Finn Nygaard and Mei Li Vos 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": "\\left( 8, \\frac{\\pi}{3}, \\frac{2 \\pi}{3} \\right)",
"style": "rule"
} | {
"index": 4821,
"need_tools_kwargs": true,
"question": "Convert the point $(2 \\sqrt{3}, 6, -4)$ in rectangular coordinates to spherical coordinates. Enter your answer in the form $(\\rho,\\theta,\\phi),$ where $\\rho > 0,$ $0 \\le \\theta < 2 \\pi,$ and $0 \\le \\phi \\le \\pi.$",
"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": "96",
"style": "rule"
} | {
"index": 4822,
"need_tools_kwargs": true,
"question": "There are 5 movie tickets numbered 1, 2, 3, 4, 5 to be distributed among four people: A, B, C, and D. Each person should receive at least one ticket and a maximum of two tickets. If two tickets are distributed to a person, they must be consecutive numbers. How many different ways can the tickets be distributed?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4823,
"need_tools_kwargs": true,
"question": "若 $a^{2}(b+c)=b^{2}(a+c)=1(a \\neq b)$ ，则 $(a+b) c^{2}-a b c$ 的值为多少？",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "28",
"style": "rule"
} | {
"index": 4824,
"need_tools_kwargs": true,
"question": "Four cats, four dogs, and four mice are placed in 12 cages. If a cat and a mouse are in the same column, the cat will meow non-stop; if a mouse is surrounded by two cats on both sides, the mouse will squeak non-stop; if a dog is flanked by a cat and a mouse, the dog will bark non-stop. In other cases, the animals remain silent. One day, the cages numbered 3, 4, 6, 7, 8, and 9 are very noisy, while the other cages are quiet. What is the sum of the cage numbers that contain the four dogs?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "21 July 1961",
"style": "rule"
} | {
"index": 4825,
"need_tools_kwargs": true,
"question": "When was Eva Menasse's husband 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": "Leibnizian calculus",
"style": "rule"
} | {
"index": 4826,
"need_tools_kwargs": true,
"question": "The logarithmic spiral was investigated by the mathematician who was a proponent of which branch of mathematics?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4827,
"need_tools_kwargs": true,
"question": "A crazy physicist has discovered a new particle called an emon. He starts with two emons in the plane, situated a distance $1$ from each other. He also has a crazy machine which can take any two emons and create a third one in the plane such that the three emons lie at the vertices of an equilateral triangle. After he has five total emons, let $P$ be the product of the $\\binom{5}{2} = 10$ distances between the $10$ pairs of emons. Find the greatest possible value of $P^2$.",
"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": "no",
"style": "rule"
} | {
"index": 4828,
"need_tools_kwargs": true,
"question": "Are both The Bachelors (2017 Film) and Age Jodi Jantam Tui Hobi Por 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": "AD",
"style": "rule"
} | {
"index": 4829,
"need_tools_kwargs": true,
"question": "Given $i$ as the imaginary unit, which of the following statements is correct?\n\nA: $i+i^{2}+i^{3}+i^{4}=0$\n\nB: $2+i \\gt 1+i$\n\nC: If $z=\\left(1-2i\\right)^{2}$, then the point corresponding to $z$ in the complex plane is located in the fourth quadrant\n\nD: Given a complex number $z$ satisfying $|z|=2$, the set of points corresponding to the complex number $z$ is a circle centered at $O$ with a radius of $2$",
"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": "\\\\{β|β= \\dfrac {5π}{6}+2kπ,k∈Z\\\\}",
"style": "rule"
} | {
"index": 4830,
"need_tools_kwargs": true,
"question": "Express the set of angles with the same terminal side as angle $150^{\\circ}$ in radian measure as $(\\quad \\quad)$.\nA: $\\\\{β|β=- \\dfrac {5π}{6}+2kπ,k∈Z\\\\}$\nB: $\\\\{β|β= \\dfrac {5π}{6}+k⋅360^{\\circ},k∈Z\\\\}$\nC: $\\\\{β|β= \\dfrac {2π}{3}+2kπ,k∈Z\\\\}$\nD: $\\\\{β|β= \\dfrac {5π}{6}+2kπ,k∈Z\\\\}$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": 4831,
"need_tools_kwargs": true,
"question": "正实数 \\(u, v, w\\) 均不等于 1, 若 \\(\\log _{u}(v w)+\\log _{v} w=5, \\log _{v} u+\\log _{w} v=3\\)，则 \\(\\log _{w} u\\) 的值为 \\(\\frac{k}{m}\\)，请计算\\(k+m\\)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": "8\\sqrt{3}",
"style": "rule"
} | {
"index": 4832,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, the coordinates of point $A$ are $(\\sqrt{3}, 3)$, the equation of the median $CM$ on side $AB$ is $5\\sqrt{3}x + 9y - 18 = 0$, and the equation of the angle bisector $BT$ on $\\angle B$ is $y = 1$. Find:\n\n1. The coordinates of vertex $B$;\n2. The area 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... | qa | {
"ground_truth": "Mākaha Sons",
"style": "rule"
} | {
"index": 4833,
"need_tools_kwargs": true,
"question": "The musician also known as \"Braddah Iz\" is a member of what Hawaiian musical group?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "-\\frac{1}{2}",
"style": "rule"
} | {
"index": 4834,
"need_tools_kwargs": true,
"question": "Given that the radius of circle \\( \\odot O \\) is 1, and the quadrilateral \\( ABCD \\) is an inscribed square within this circle, with \\( EF \\) being a diameter of \\( \\odot O \\). Let \\( M \\) be a point moving along the boundary of the square \\( ABCD \\). Determine the minimum value of the dot product \\( \\overrightarrow{ME} \\cdot \\overrightarrow{MF} \\), where \\( E \\) and \\( F \\) are the endpoints of the diameter.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 4835,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song Tell Me, Momma?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4836,
"need_tools_kwargs": true,
"question": "In the right triangle \\(ABC\\) where \\(\\angle B = 90^\\circ\\), point \\(P\\) lies on the angle bisector of \\(\\angle A\\) inside the triangle. Point \\(M\\) is located on the side \\(AB\\) (distinct from points \\(A\\) and \\(B\\)). The lines \\(AP\\), \\(CP\\), and \\(MP\\) intersect the sides \\(BC\\), \\(AB\\), and \\(AC\\) at points \\(D\\), \\(E\\), and \\(N\\) respectively. Given that \\(\\angle MPB = \\angle PCN\\) and \\(\\angle NPC = \\angle MBP\\), determine the ratio of the area of triangle \\(APC\\) to the area of quadrilateral \\(ACDE\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"index": 4837,
"need_tools_kwargs": true,
"question": "Each of two regular polygons $P$ and $Q$ was divided by a line into two parts. One part of $P$ was attached to one part of $Q$ along the dividing line so that the resulting polygon was regular and not congruent to $P$ or $Q$. How many sides can it 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": "1848",
"style": "rule"
} | {
"index": 4838,
"need_tools_kwargs": true,
"question": "if both 112 and 33 are factors of the number a * 43 * 62 * 1311 , then what is the smallest possible 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... | qa | {
"ground_truth": "1993",
"style": "rule"
} | {
"index": 4839,
"need_tools_kwargs": true,
"question": "What year did the network, in which Sal Paolantonio replaced was the original anchors for, launch?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Darren Lynn Bousman",
"style": "rule"
} | {
"index": 4840,
"need_tools_kwargs": true,
"question": "Who directed and co-wrote the film \"Forget to Remember\" was first featured in?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{1}{8}",
"style": "rule"
} | {
"index": 4841,
"need_tools_kwargs": true,
"question": "Vasya wrote a note on a piece of paper, folded it four times, and wrote \"MAME\" on top. Then he unfolded the note, wrote something else, folded it again along the crease lines in a random order (not necessarily as before), and left it on the table with a random side up. Find the probability that the inscription \"MAME\" is still on top.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "11",
"style": "rule"
} | {
"index": 4842,
"need_tools_kwargs": true,
"question": "A $3 \\times 6$ array of cards numbered from 1 to 18 is laid out on a table. The cards are folded in half three times according to the following sequence: \n1. Fold the left third over the middle third.\n2. Fold the right third over the now overlapping left and middle thirds.\n3. Fold the bottom half over the top half. \n\nAfter performing all these folds, which numbered card is on top?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 4843,
"need_tools_kwargs": true,
"question": "Are director of film Manoranjan and director of film I Will, I Will... For Now both 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": "2",
"style": "rule"
} | {
"index": 4844,
"need_tools_kwargs": true,
"question": "For what values of \\(a\\) does the inequality \\(\\log _{\\frac{1}{4}}\\left(\\sqrt{x^{2}+a x+5}+1\\right) \\cdot \\log _{5}\\left(x^{2}+a x+6\\right)+\\log _{a} 3 \\geqslant 0\\) have exactly one solution?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4845,
"need_tools_kwargs": true,
"question": "Given that the domains of functions $f(x)$ and $g(x)$ are both $\\mathbb{R}$, and $f(x) + g(2-x) = 5$, $g(x) - f(x-4) = 7$. If the graph of $y = g(x)$ is symmetric about the line $x = 2$, $g(2) = 4$, find the sum of the values of $f(k)$ from $k=1$ to $k=22$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "7.5 million",
"style": "rule"
} | {
"index": 4846,
"need_tools_kwargs": true,
"question": "How many visitors did the park where the Parrot Coaster is see in 2015?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"index": 4847,
"need_tools_kwargs": true,
"question": "一个六面体的各个面和一个正八面体的各个面都是边长为 $a$ 的正三角形，这样两个多面体的内切球半径之比是一个既约分数 $\\frac{m}{n}$ ，那么积 $m \\cdot n$ 是 $\\qquad$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Leonid Nikolayevich Agutin",
"style": "rule"
} | {
"index": 4848,
"need_tools_kwargs": true,
"question": "Who has released ten albums and three compilation albums and was a coach on the sixth season of the Russian reality talent show on Channel One?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "e \\geqslant \\frac{\\sqrt{5} + 1}{2}",
"style": "rule"
} | {
"index": 4849,
"need_tools_kwargs": true,
"question": "A line passing through the left focus $F_1$ of a hyperbola and perpendicular to the real axis of the hyperbola intersects the hyperbola at points $A$ and $B$. If there exists a point $C$ on the line of the imaginary axis of the hyperbola such that $\\vec{AC} \\cdot \\vec{BC} = 0$, then the range of the eccentricity $e$ of the hyperbola 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": "Z, X, Y",
"style": "rule"
} | {
"index": 4850,
"need_tools_kwargs": true,
"question": "Circle $X$ has a radius of $\\pi$. Circle $Y$ has a circumference of $8 \\pi$. Circle $Z$ has an area of $9 \\pi$. List the circles in order from smallest to the largest radius. \n$\\textbf{(A)}\\ X, Y, Z\\qquad\\textbf{(B)}\\ Z, X, Y\\qquad\\textbf{(C)}\\ Y, X, Z\\qquad\\textbf{(D)}\\ Z, Y, X\\qquad\\textbf{(E)}\\ X, Z, Y$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "2014",
"style": "rule"
} | {
"index": 4851,
"need_tools_kwargs": true,
"question": "If $10$ divides the number $1\\cdot2^1+2\\cdot2^2+3\\cdot2^3+\\dots+n\\cdot2^n$ , what is the least integer $n\\geq 2012$ ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4852,
"need_tools_kwargs": true,
"question": "How many of the letters in MATHCOUNTS have a horizontal line of symmetry?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 4853,
"need_tools_kwargs": true,
"question": "Are both director of film The Phantom Rider (Universal Serial) and director of film Jeewan Hathi 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": "2",
"style": "rule"
} | {
"index": 4854,
"need_tools_kwargs": true,
"question": "Determine all positive integers $n{}$ for which there exist pairwise distinct integers $a_1,\\ldots,a_n{}$ and $b_1,\\ldots, b_n$ such that \\[\\prod_{i=1}^n(a_k^2+a_ia_k+b_i)=\\prod_{i=1}^n(b_k^2+a_ib_k+b_i)=0, \\quad \\forall k=1,\\ldots,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": "11",
"style": "rule"
} | {
"index": 4855,
"need_tools_kwargs": true,
"question": "Find the set of solutions for $x$ in the inequality $\\dfrac{x+1}{x+2}>\\dfrac{3x+4}{2x+9}$ when $x\\neq 2$, $x\\neq -\\dfrac{9}{2}$. The original answer is in the form \\left[\\frac{a}{b}, -c\\right] \\cup \\left(\\frac{d-\\sqrt{e}}{f}, \\frac{g+\\sqrt{h}}{i}\\right), where a, b, c, d, e, f, g, h, and i are integers with the given conditions. Please give the value of a+b+c+d+e+f+g+h+i.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4856,
"need_tools_kwargs": true,
"question": "A large cube is constructed by stacking 64 smaller unit cubes in a 4x4x4 arrangement. A plane is perpendicular to one of the internal diagonals of this larger cube and bisects that diagonal. Determine how many unit cubes the plane intersects.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Tiananmen West Station",
"style": "rule"
} | {
"index": 4857,
"need_tools_kwargs": true,
"question": "What station is near \"The Giant Egg\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "James David Sharman",
"style": "rule"
} | {
"index": 4858,
"need_tools_kwargs": true,
"question": "Who was born first, Aaron Katz or Jim Sharman?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Douglas Gene Carlston",
"style": "rule"
} | {
"index": 4859,
"need_tools_kwargs": true,
"question": "What Bostonian was the founder of the company that originally published Prince of Persia?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4860,
"need_tools_kwargs": true,
"question": "Given $f(x)=x^{3}+ax^{2}+bx+a^{2}$, the extreme value at $x=1$ is $10$. Find the value of $a+b$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "southwestern",
"style": "rule"
} | {
"index": 4861,
"need_tools_kwargs": true,
"question": "In what corner of Missouri is radio station WMBH 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... | math | {
"ground_truth": "99999",
"style": "rule"
} | {
"index": 4862,
"need_tools_kwargs": true,
"question": "What is the largest value of $n$ less than 100,000 for which the expression $10(n-3)^5 - n^2 + 20n - 30$ is a multiple of 7?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Mark Margolis",
"style": "rule"
} | {
"index": 4863,
"need_tools_kwargs": true,
"question": "What scarface actor was also in the movie The Abandoned?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "36",
"style": "rule"
} | {
"index": 4864,
"need_tools_kwargs": true,
"question": "A cat broke into a wine store at night. It jumped onto a shelf where wine bottles were arranged in a long row - the first third of bottles were priced at 160 CZK each, the next third were priced at 130 CZK each, and the last third at 100 CZK each. First, the cat knocked over a bottle priced at 160 CZK, which was at the very beginning of the row, and then continued knocking over one bottle after another without skipping any. It knocked down a total of 25 bottles before it stopped. In the morning, the owner regretted that the cat did not start its rampage from the other end of the shelf. If it had broken the same number of bottles from the other end, the damage would have been 660 CZK less. How many bottles were originally on the shelf?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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^4-10x^2+1",
"style": "rule"
} | {
"index": 4865,
"need_tools_kwargs": true,
"question": "Find a monic polynomial of degree $4,$ in $x,$ with rational coefficients such that $\\sqrt{2} +\\sqrt{3}$ is a root of the polynomial.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"index": 4866,
"need_tools_kwargs": true,
"question": "In \\( a : b = 5 : 4 \\), \\( b : c = 3 : x \\), and \\( a : c = y : 4 \\), find \\( y \\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 4867,
"need_tools_kwargs": true,
"question": "Do Kerry Mccoy (Musician) and Misty Jannat have the same occupation?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "45",
"style": "rule"
} | {
"index": 4868,
"need_tools_kwargs": true,
"question": "The 1954–55 Ashes series consisted of an Australian team led by the cricketer who played how many test matches?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "MA",
"style": "rule"
} | {
"index": 4869,
"need_tools_kwargs": true,
"question": "What state is Cape Cod located 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": "American",
"style": "rule"
} | {
"index": 4870,
"need_tools_kwargs": true,
"question": "What country of origin does Charmed and Alyssa Milano have in common?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Kaiser",
"style": "rule"
} | {
"index": 4871,
"need_tools_kwargs": true,
"question": "The great-great-grandfather of current head of the House of Hohenzollern held what official title?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "5760",
"style": "rule"
} | {
"index": 4872,
"need_tools_kwargs": true,
"question": "In a chorus performance, there are 6 female singers (including 1 lead singer) and 2 male singers arranged in two rows.\n(1) If there are 4 people per row, how many different arrangements are possible?\n(2) If the lead singer stands in the front row and the male singers stand in the back row, with again 4 people per row, how many different arrangements are possible?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "fishing",
"style": "rule"
} | {
"index": 4873,
"need_tools_kwargs": true,
"question": "What is the main industry of the town that has a ruined L-plan keep in an ancient Scottish village?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{23}{2}",
"style": "rule"
} | {
"index": 4874,
"need_tools_kwargs": true,
"question": "Given $f(x) = \\frac{x^2 + 33}{x}, (x \\in \\mathbb{N}^*)$, find the minimum value of $f(x)$ in its domain.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Deepings",
"style": "rule"
} | {
"index": 4875,
"need_tools_kwargs": true,
"question": "What series of settlements celebrated their feast day on 30 September?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"index": 4876,
"need_tools_kwargs": true,
"question": "The following bar graph represents the length (in letters) of the names of 19 people. What is the median length of these names?\n\n$\\textbf{(A) }3\\qquad\\textbf{(B) }4\\qquad\\textbf{(C) }5\\qquad\\textbf{(D) }6\\qquad \\textbf{(E) }7$",
"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": "300",
"style": "rule"
} | {
"index": 4877,
"need_tools_kwargs": true,
"question": "For a geometric sequence $\\{b_n\\}$ with a common ratio of $4$, if $T_n$ is the product of the first $n$ terms of the sequence $\\{b_n\\}$, then $\\frac{T_{20}}{T_{10}}$, $\\frac{T_{30}}{T_{20}}$, $\\frac{T_{40}}{T_{30}}$ also form a geometric sequence with a common ratio of $4^{100}$. Similarly, in an arithmetic sequence $\\{a_n\\}$ with a common difference of $3$, if $S_n$ is the sum of the first $n$ terms of $\\{a_n\\}$, then \\_\\_\\_\\_\\_\\_ also form an arithmetic sequence with a common difference of \\_\\_\\_\\_\\_\\_.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Carrie Daumery",
"style": "rule"
} | {
"index": 4878,
"need_tools_kwargs": true,
"question": "Who is the mother of the director of film Over The Garden Wall (1934 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": "Glasgow",
"style": "rule"
} | {
"index": 4879,
"need_tools_kwargs": true,
"question": "What city is nearest to the castle inherited by James Roberton?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "-84",
"style": "rule"
} | {
"index": 4880,
"need_tools_kwargs": true,
"question": "Given that in the expansion of $({x-\\frac{1}{{{x^2}}}})^n$, the binomial coefficients of the $3$rd and $8$th terms are equal, then the constant term in the expansion 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": "January 2, 1901",
"style": "rule"
} | {
"index": 4881,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film A Close Call For Boston Blackie?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": 4882,
"need_tools_kwargs": true,
"question": "Given a sequence $\\{a_n\\}$ that satisfies $a_{n+1}-a_n=3$ and $a_3=-2$. If for all $k \\in [4,+\\infty)$, $\\frac{a_{k+1}a_{k+2}}{a_k} \\geqslant a_m$ always holds, where $m,k \\in \\mathbb{N}^*$, then the maximum value of the real number $m$ 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": "4 March 1936",
"style": "rule"
} | {
"index": 4883,
"need_tools_kwargs": true,
"question": "What is the date of death of Ingemar Liljefors'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": "1969",
"style": "rule"
} | {
"index": 4884,
"need_tools_kwargs": true,
"question": "What year is Anselm Kiefer's \"The Second Sinful Fall of Parmenides (Der zweite Sündenfall des Parmenides)\" dated?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Wandering Footsteps",
"style": "rule"
} | {
"index": 4885,
"need_tools_kwargs": true,
"question": "Which film whose director was born first, Wandering Footsteps or Murder by Decree?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 4886,
"need_tools_kwargs": true,
"question": "Let point $P_i(x_i, y_i)$ be on the line $l_i: a_ix + b_iy = c_i$, if $a_i + b_i = ic_i$ (where $i=1,2$), and $|P_1P_2| \\geq \\frac{\\sqrt{2}}{2}$ always holds, then $\\frac{c_1}{a_1} + \\frac{a_2}{c_2} =$ \\_\\_\\_\\_\\_\\_.",
"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": "Stephen Andrew Lynch",
"style": "rule"
} | {
"index": 4887,
"need_tools_kwargs": true,
"question": "Tabernacle has held comedy concerts by which Tony Award-nominated actor?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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 Argentine American architect",
"style": "rule"
} | {
"index": 4888,
"need_tools_kwargs": true,
"question": "The designer of the Bucksbaum Center for the Arts claims what national heritage?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "222",
"style": "rule"
} | {
"index": 4889,
"need_tools_kwargs": true,
"question": "Let $A,B,C$ be angles of an acute triangle with \\begin{align*} \\cos^2 A + \\cos^2 B + 2 \\sin A \\sin B \\cos C &= \\frac{15}{8} \\text{ and} \\\\ \\cos^2 B + \\cos^2 C + 2 \\sin B \\sin C \\cos A &= \\frac{14}{9} \\end{align*} There are positive integers $p$ , $q$ , $r$ , and $s$ for which \\[\\cos^2 C + \\cos^2 A + 2 \\sin C \\sin A \\cos B = \\frac{p-q\\sqrt{r}}{s},\\] where $p+q$ and $s$ are relatively prime and $r$ is not divisible by the square of any prime. Find $p+q+r+s$ .",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "S_5 = 35",
"style": "rule"
} | {
"index": 4890,
"need_tools_kwargs": true,
"question": "In the sequence $\\{a\\_n\\}$, $a_{n+1} - a_n = 3$, $a_2 = 4$, and $S_n$ represents the sum of the first $n$ terms. Find $S_5 = (\\quad)$.\n\nA: $30$\nB: $35$\nC: $45$\nD: $50$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 4891,
"need_tools_kwargs": true,
"question": "Do both films Gunsmoke In Tucson and The Fighting Stallion (1927 Film) 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": "September 12, 1966",
"style": "rule"
} | {
"index": 4892,
"need_tools_kwargs": true,
"question": "What is the date of birth of the composer of film William Shatner'S Gonzo Ballet?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "25",
"style": "rule"
} | {
"index": 4893,
"need_tools_kwargs": true,
"question": "Three boys played a \"Word\" game in which they each wrote down ten words. For each word a boy wrote, he scored three points if neither of the other boys had the same word; he scored one point if only one of the other boys had the same word. No points were awarded for words which all three boys had. When they added up their scores, they found that they each had different scores. Sam had the smallest score of 19 points. Determine how many points James scored, knowing that he scored 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... | qa | {
"ground_truth": "Shanghai, China",
"style": "rule"
} | {
"index": 4894,
"need_tools_kwargs": true,
"question": "Where is the recent World War II movie filmed that features a famous actor from the \"Die Hard\" movies?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "642641",
"style": "rule"
} | {
"index": 4895,
"need_tools_kwargs": true,
"question": "Find two cubes whose difference is equal to 1234567.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{3(2n-1)}{16}",
"style": "rule"
} | {
"index": 4896,
"need_tools_kwargs": true,
"question": "Let $ \\varepsilon_1,\\varepsilon_2,...,\\varepsilon_{2n}$ be independent random variables such that $ P(\\varepsilon_i\\equal{}1)\\equal{}P(\\varepsilon_i\\equal{}\\minus{}1)\\equal{}\\frac 12$ for all $ i$ , and define $ S_k\\equal{}\\sum_{i\\equal{}1}^k \\varepsilon_i, \\;1\\leq k \\leq 2n$ . Let $ N_{2n}$ denote the number of integers $ k\\in [2,2n]$ such that either $ S_k>0$ , or $ S_k\\equal{}0$ and $ S_{k\\minus{}1}>0$ . Compute the variance of $ N_{2n}$ .",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to 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": 4897,
"need_tools_kwargs": true,
"question": "Do director of film Boys' Night Out (Film) and director of film Chotushkone 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": "63",
"style": "rule"
} | {
"index": 4898,
"need_tools_kwargs": true,
"question": "Four friends, Art, Roger, Paul, and Trisha, bake cookies of equal thickness but different shapes. Art's cookies are circles with a radius of 2 units, and he produces exactly 10 cookies, selling each for 50 cents. To earn the same amount from a single batch, determine how much one of Roger's square cookies should cost in cents, given that he uses the same amount of dough as Art.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Steven Blum",
"style": "rule"
} | {
"index": 4899,
"need_tools_kwargs": true,
"question": "The Boxtrolls features the voice of which American voice actor born on April 28, 1960?",
"split": "train"
} | null |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.