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": "yes",
"style": "rule"
} | {
"index": 8200,
"need_tools_kwargs": true,
"question": "Are director of film Why Bring That Up? and director of film Snobs (Film) from the same country?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Shayaa Bin Abraham-Joseph",
"style": "rule"
} | {
"index": 8201,
"need_tools_kwargs": true,
"question": "What is the given name of the creator of the Album released on July 7, 2017 by Slaughter Gang and Epic Records?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "eight",
"style": "rule"
} | {
"index": 8202,
"need_tools_kwargs": true,
"question": "Eric Dickerson went on to rush for a playoff record 248 yards in post season play against a football team that has made it to the super bowl how many times?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 Love Doctor",
"style": "rule"
} | {
"index": 8203,
"need_tools_kwargs": true,
"question": "Which film has the director born earlier, The Last Night (1936 Film) or The Love Doctor?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Vienna, Missouri",
"style": "rule"
} | {
"index": 8204,
"need_tools_kwargs": true,
"question": "In which town was the writer of the song You Take Me for Granted 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": "158",
"style": "rule"
} | {
"index": 8205,
"need_tools_kwargs": true,
"question": "Given a rectangular cuboid with dimensions length, width, and height are 5, 4, and 3, respectively. If a plane cuts this cuboid into two triangular prisms, find the maximum possible sum of the surface areas of these two triangular prisms.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8206,
"need_tools_kwargs": true,
"question": "Are director of film Dudu, A Human Destiny and director of film Mirror Of Life 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": "m = 23",
"style": "rule"
} | {
"index": 8207,
"need_tools_kwargs": true,
"question": "If the function $f(x) = -x^3 + 6x^2 + m$ has a minimum value of 23, then the real number $m$ equals \\_\\_\\_\\_\\_\\_.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "76",
"style": "rule"
} | {
"index": 8208,
"need_tools_kwargs": true,
"question": "A vessel with a capacity of 6 liters contains 4 liters of a 70% sulfuric acid solution. Another vessel of the same capacity contains 3 liters of a 90% sulfuric acid solution. Some amount of the solution is transferred from the second vessel to the first one so that the first vessel ends up with an \\( r\\% \\) sulfuric acid solution. Find the largest integer value of \\( r \\) for which the problem has a 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": "9",
"style": "rule"
} | {
"index": 8209,
"need_tools_kwargs": true,
"question": "Given a frustum with a top base area of 1 and a bottom base area of 16, a plane parallel to the bases intersects the frustum such that the distance from the plane to the top base is twice the distance from the plane to the bottom base. Calculate the area of the intersection created by this plane.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{5\\pi}{8}",
"style": "rule"
} | {
"index": 8210,
"need_tools_kwargs": true,
"question": "\nCompute the definite integral:\n\n$$\n\\int_{0}^{\\pi} 2^{4} \\cdot \\sin ^{6}\\left(\\frac{x}{2}\\right) \\cos ^{2}\\left(\\frac{x}{2}\\right) d x\n$$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "July 19, 1925",
"style": "rule"
} | {
"index": 8211,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film The Revolving Door?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "3 March 1780",
"style": "rule"
} | {
"index": 8212,
"need_tools_kwargs": true,
"question": "What is the date of death of Susanna Duncombe'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": "1",
"style": "rule"
} | {
"index": 8213,
"need_tools_kwargs": true,
"question": "Given the power function $f(x) = (k^2 + k - 1)x^{k^2 - 3k}$ ($k \\in \\mathbb{Z}$), its graph is symmetric about the y-axis and is a decreasing function on $(0, +\\infty)$. The value of $k$ 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": "Johann Friedrich Grönland",
"style": "rule"
} | {
"index": 8214,
"need_tools_kwargs": true,
"question": "The son of who was a German botanist, horticulturist, and microscopist, who joined the Schleswig-Holstein army to fight the first round of military conflict in southern Denmark and northern Germany rooted in the Schleswig-Holstein Question?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Gary Glitter",
"style": "rule"
} | {
"index": 8215,
"need_tools_kwargs": true,
"question": "What English glam rock singer born as Paul Francis Gadd co-wrote Always Yours?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1938",
"style": "rule"
} | {
"index": 8216,
"need_tools_kwargs": true,
"question": "In what year was the American folksinger who recorded the song \"Wee Cooper O'Fife\" 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": "10+\\sqrt{63}",
"style": "rule"
} | {
"index": 8217,
"need_tools_kwargs": true,
"question": "In a square \\( ABCD \\), there is a point \\( P \\) located inside the square. The distances from point \\( P \\) to the vertices \\( A, B, \\) and \\( C \\) are given as \\( 2, 3, \\) and \\( 4 \\) respectively. Using this information, construct the square and determine its area.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "3:1",
"style": "rule"
} | {
"index": 8218,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$ the ratio $AC:CB$ is $3:4$. The bisector of the exterior angle at $C$ intersects $BA$ extended at $P$ ($A$ is between $P$ and $B$). The ratio $PA:AB$ is:\n$\\textbf{(A)}\\ 1:3 \\qquad \\textbf{(B)}\\ 3:4 \\qquad \\textbf{(C)}\\ 4:3 \\qquad \\textbf{(D)}\\ 3:1 \\qquad \\textbf{(E)}\\ 7:1$\n",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"index": 8219,
"need_tools_kwargs": true,
"question": "A cup is filled with a saline solution of $15\\%$ concentration. There are three iron balls of different sizes: large, medium, and small, with their volumes in the ratio 10:5:3. Initially, the small ball is submerged in the cup of saline causing $10\\%$ of the saline solution to overflow. Then the small ball is removed. Next, the medium ball is submerged in the cup and then removed. This is followed by submerging and removing the large ball. Finally, pure water is added to the cup until it is full again. What is the concentration of the saline solution in the cup at this point?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Ireland",
"style": "rule"
} | {
"index": 8220,
"need_tools_kwargs": true,
"question": "What country do both Edward Spragge and Charles II of England 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": "Marriott Corporation",
"style": "rule"
} | {
"index": 8221,
"need_tools_kwargs": true,
"question": "Which company opened an amusement park in 1976 which had a roller coaster dismantled in 1988?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "174",
"style": "rule"
} | {
"index": 8222,
"need_tools_kwargs": true,
"question": "In a certain circle, the chord of a $d$ -degree arc is 22 centimeters long, and the chord of a $2d$ -degree arc is 20 centimeters longer than the chord of a $3d$ -degree arc, where $d < 120.$ The length of the chord of a $3d$ -degree arc is $- m + \\sqrt {n}$ centimeters, where $m$ and $n$ are positive integers. Find $m + n.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{1}{2}\\csc\\frac{1}{4}",
"style": "rule"
} | {
"index": 8223,
"need_tools_kwargs": true,
"question": "Given points \\(A, B, C\\) on a circle with radius \\(r\\), where \\(AB = AC\\) and \\(AB > r\\), and the length of the minor arc \\(BC\\) is \\(r\\), determine the ratio \\(\\frac{AB}{BC}\\) in terms of trigonometric functions.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Merce Cunningham, Lester Horton, and Paul Taylor",
"style": "rule"
} | {
"index": 8224,
"need_tools_kwargs": true,
"question": "Martha Graham Center of Contemporary Dance focuses on teaching the technique that was the influence of whose techniques?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Wales national rugby union team",
"style": "rule"
} | {
"index": 8225,
"need_tools_kwargs": true,
"question": "The 2011 Speedwat Grand Prix of Great Britain took place in a stadium that is home to what team? ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "8.57\\%",
"style": "rule"
} | {
"index": 8226,
"need_tools_kwargs": true,
"question": "The ratio of measures of two complementary angles is 3 to 7. The smaller measure is increased by $20\\%$. By what percent must the larger measure be decreased so that the two angles remain complementary?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Las Vegas, Nevada",
"style": "rule"
} | {
"index": 8227,
"need_tools_kwargs": true,
"question": "Wagnney Silva Fabiano-Santos practiced martial arts with the company that was founded in what location?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "AB = 3\\sqrt{5} + 3",
"style": "rule"
} | {
"index": 8228,
"need_tools_kwargs": true,
"question": "In triangle $ABC$, $\\cos(A-2B) + \\sin(2A + B) = 2$, and $BC = 6$. What is $AB$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 8229,
"need_tools_kwargs": true,
"question": "In the following expression, different letters represent different digits. Determine the value of \\( C \\) in the equation represented by the addition of the numbers:\n\n\\[\n\\begin{array}{rrr}\nA & B & C \\\\\nA & B \\\\\n+ & & A \\\\\n\\hline \\multirow{3}{3}{0} & 0\n\\end{array}\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": "David Sergio Trezeguet",
"style": "rule"
} | {
"index": 8230,
"need_tools_kwargs": true,
"question": "Who is the former French football striker whose 24 goal record was tied during the 2001-02 Piacenza Calcio season?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2 + \\sqrt{3}",
"style": "rule"
} | {
"index": 8231,
"need_tools_kwargs": true,
"question": "Given $a \\gt 0$, $b \\gt 0$, if ${a}^{2}+{b}^{2}-\\sqrt{3}ab=1$, determine the maximum value of $\\sqrt{3}{a}^{2}-ab$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Wilhelm Storost",
"style": "rule"
} | {
"index": 8232,
"need_tools_kwargs": true,
"question": "What is the real name of the Prussian Lithuanian poet and philosopher who came up with the idea of the religious movement Baltic Neopaganism?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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(\\frac{16}{3}, \\frac{103}{9}\\right)",
"style": "rule"
} | {
"index": 8233,
"need_tools_kwargs": true,
"question": "When the polynomial \\(x^4 - 7x^3 + 18x^2 - 28x + 15\\) is divided by \\(x^2 - 3x + m\\), the remainder is \\(2x + b\\). Find the ordered pair \\((m, 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": "the Upright Citizens Brigade Theatre",
"style": "rule"
} | {
"index": 8234,
"need_tools_kwargs": true,
"question": " \"Future-Drama\" is the 350th Simpsons episode overall and guest-starred an American actress, comedian, director, producer, and writer who was a founder of what?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"index": 8235,
"need_tools_kwargs": true,
"question": "Let's call a natural number \\textit{interesting} if any of its two consecutive digits form a number that is a multiple of $19$ or $21$. For example, the number $7638$ is interesting because $76$ is a multiple of $19$, $63$ is a multiple of $21$, and $38$ is a multiple of $19$. How many interesting numbers with $2022$ digits exist?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "16",
"style": "rule"
} | {
"index": 8236,
"need_tools_kwargs": true,
"question": "A broken line consists of $31$ segments. It has no self intersections, and its start and end points are distinct. All segments are extended to become straight lines. Find the least possible number of straight lines.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8237,
"need_tools_kwargs": true,
"question": "给定正整数 $n(n \\geqslant 2)$. 已知 $2 n$ 个正实数 $a_{1}, a_{2}, \\cdots, a_{2 n}$, 满足: \n$$ \n\\sum_{k=1}^{n} a_{2 k-1} \\cdot \\sum_{k=1}^{n} a_{2 k}=\\prod_{k=1}^{n} a_{2 k-1}+\\prod_{k=1}^{n} a_{2 k}. \n$$ \n求 $S=\\sum_{k=1}^{2 n} \\frac{a_{k}^{n-1}}{a_{k+1}}$ 的最小值，其中 $a_{2 n+1}=a_{1}$ 。请给出当 n = 2 时，S 的最小值的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Segunda División B – Group 4",
"style": "rule"
} | {
"index": 8238,
"need_tools_kwargs": true,
"question": "Isidro Ros Ríos plays for a team that plays in which division ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\sqrt{3135}",
"style": "rule"
} | {
"index": 8239,
"need_tools_kwargs": true,
"question": "In triangle $ABC$, $AB = 8$, $AC = 14$, and the length of median $AM$ is 9. Find 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... | math | {
"ground_truth": "0.8",
"style": "rule"
} | {
"index": 8240,
"need_tools_kwargs": true,
"question": "Pick a random digit in the decimal expansion of \\(\\frac{1}{99999}\\). What is the probability that it is 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": "Travis County",
"style": "rule"
} | {
"index": 8241,
"need_tools_kwargs": true,
"question": "What county is Rainforest Partnership based 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": "major international feature film \"Lion\"",
"style": "rule"
} | {
"index": 8242,
"need_tools_kwargs": true,
"question": "What was the name of the movie adapted from a book written Larry Buttrose, that was the story of a person that was accidentally separated from their mother at age 5, adopted, and then reunited with their biological mother 25 years later?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "97",
"style": "rule"
} | {
"index": 8243,
"need_tools_kwargs": true,
"question": "若正方体 $A B C D-A_{1} B_{1} C_{1} D_{1}$ 的棱长为 1, 中心为 $0, \\overrightarrow{B C}=2 \\overrightarrow{B F}, \\overrightarrow{A_{1} A}=$ $4 \\overrightarrow{A_{1} E}$ ，则四面体 $O E B F$ 的体积为 $\\frac{k}{m}$ 的形式，请给出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": "A: 0",
"style": "rule"
} | {
"index": 8244,
"need_tools_kwargs": true,
"question": "Rectangle $ABCD$ has $AB=8$ and $BC=6$. Point $H$ lies on $\\overline{AB}$ so that $BH=3$, point $I$ lies on $\\overline{BC}$ so that $CI=2$, and point $J$ lies on $\\overline{CD}$ so that $DJ=3$. Segments $\\overline{AI}$ and $\\overline{AC}$ intersect $\\overline{HJ}$ at $R$ and $S$, respectively. What is the value of $\\frac{RS}{HJ}$?\nA: 0\nB: $\\frac{1}{10}$\nC: $\\frac{1}{20}$\nD: $\\frac{1}{40}$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "45",
"style": "rule"
} | {
"index": 8245,
"need_tools_kwargs": true,
"question": "The matrices\n\\[\\begin{pmatrix} a & 1 & b \\\\ 2 & 2 & 3 \\\\ c & 5 & d \\end{pmatrix} \\quad \\text{and} \\quad \\begin{pmatrix} -5 & e & -11 \\\\ f & -13 & g \\\\ 2 & h & 4 \\end{pmatrix}\\]are inverses. Find $a + b + c + d + e + f + g + h.$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "(1,16)",
"style": "rule"
} | {
"index": 8246,
"need_tools_kwargs": true,
"question": "The solution to the inequality\n\\[y = -x^2 + ax + b \\le 0\\]is $(-\\infty,-3] \\cup [5,\\infty).$ Find the vertex of the parabola $y = -x^2 + ax + b.$",
"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... | math | {
"ground_truth": "-3",
"style": "rule"
} | {
"index": 8247,
"need_tools_kwargs": true,
"question": "Which number is closest to \\(-3.4\\) on a number line?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "October 18, 1946",
"style": "rule"
} | {
"index": 8248,
"need_tools_kwargs": true,
"question": "When is the composer of film The Fly (1986 Film) 's birthday?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 8249,
"need_tools_kwargs": true,
"question": "Do Jagmander Singh and Jim Parco have the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "April 30, 1960",
"style": "rule"
} | {
"index": 8250,
"need_tools_kwargs": true,
"question": "When was the writer who writes the books about Zoey Redbird 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": "London",
"style": "rule"
} | {
"index": 8251,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film The Man From Toronto?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 John Geragos",
"style": "rule"
} | {
"index": 8252,
"need_tools_kwargs": true,
"question": "Who, Michael Arlen or Mark Geragos, is an Armenian-American criminal defense lawyer?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "451",
"style": "rule"
} | {
"index": 8253,
"need_tools_kwargs": true,
"question": "Let $T_k = \\frac{k(k+1)}{2}$ be the $k$ -th triangular number. The in\ffinite series $$ \\sum_{k=4}^{\\infty}\\frac{1}{(T_{k-1} - 1)(Tk - 1)(T_{k+1} - 1)} $$ has the value $\\frac{m}{n}$ , where $m$ and $n$ are relatively prime positive integers. Find $m + n$ .",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 8254,
"need_tools_kwargs": true,
"question": "Are Anuch and Yazur 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": "February 5, 2013",
"style": "rule"
} | {
"index": 8255,
"need_tools_kwargs": true,
"question": "Surinder Sodhi composed the music for special 26, when was it relieced. ",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "over 200 acre .",
"style": "rule"
} | {
"index": 8256,
"need_tools_kwargs": true,
"question": "What is the area of the shipyard in which Last Gaga's ArtRave was held ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "105",
"style": "rule"
} | {
"index": 8257,
"need_tools_kwargs": true,
"question": "Let $AD$ be a median of $\\triangle ABC$ such that $m(\\widehat{ADB})=45^{\\circ}$ and $m(\\widehat{ACB})=30^{\\circ}$. What is the measure of $\\widehat{ABC}$ in degrees? If the answer is $x^\\circ$, what is the value of $x$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{2}{3}",
"style": "rule"
} | {
"index": 8258,
"need_tools_kwargs": true,
"question": "Amelia and Blaine toss their coins at the same time until one of them gets a head. Amelia’s coin lands heads with a probability of \\(\\frac{1}{4}\\), and Blaine’s coin lands on heads with a probability of \\(\\frac{1}{6}\\). If they both get heads on the same toss, Amelia wins. Calculate the probability that Amelia wins the 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": "Rei Miyamoto",
"style": "rule"
} | {
"index": 8259,
"need_tools_kwargs": true,
"question": "What character from High School of the Dead did the actress who voiced a character created by Yuko Shimizu play?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "16",
"style": "rule"
} | {
"index": 8260,
"need_tools_kwargs": true,
"question": "设A,B两点分别在抛物线y^2=6x及\\odot C:(x-4)^2+y^2=1上。则|AB|的取值范围是[\\sqrt{k}-m,+\\infty)，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... | qa | {
"ground_truth": "Portland",
"style": "rule"
} | {
"index": 8261,
"need_tools_kwargs": true,
"question": "In what city was the Election Law Journal 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": "77",
"style": "rule"
} | {
"index": 8262,
"need_tools_kwargs": true,
"question": "What is the smallest possible perimeter of a triangle whose side lengths are all squares of distinct positive integers?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8263,
"need_tools_kwargs": true,
"question": "Let $ABC$ be a triangle in which $\\angle ABC = 60^{\\circ}$. Let $I$ and $O$ be the incentre and circumcentre of $ABC$, respectively. Let $M$ be the midpoint of the arc $BC$ of the circumcircle of $ABC$, which does not contain the point $A$. Determine $\\angle BAC$ given that $MB = OI$. If the answer is $x^\\circ$, what is the value of $x$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"index": 8264,
"need_tools_kwargs": true,
"question": "In the expression \\(2+2 \\times 3+2 \\times 3 \\times 3+\\cdots+2 \\times 9\\), the units digit of the result is:\nA. 2\nB. 8\nC. 4\nD. 6",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "1824",
"style": "rule"
} | {
"index": 8265,
"need_tools_kwargs": true,
"question": "When was the city where Eve Beglarian was born 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... | qa | {
"ground_truth": "November 23, 1944",
"style": "rule"
} | {
"index": 8266,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film The Private Life Of A Modern Woman?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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{2009}{2010}",
"style": "rule"
} | {
"index": 8267,
"need_tools_kwargs": true,
"question": "Find the value of \\(\\tan \\left(\\tan^{-1} \\frac{1}{2} + \\tan^{-1} \\frac{1}{2 \\times 2^2} + \\tan^{-1} \\frac{1}{2 \\times 3^2} + \\cdots + \\tan^{-1} \\frac{1}{2 \\times 2009^2}\\right)\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "1789 until 1799",
"style": "rule"
} | {
"index": 8268,
"need_tools_kwargs": true,
"question": "How long was the revolution period existed which strongly influenced Ottomanism?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8269,
"need_tools_kwargs": true,
"question": "Consider a triangle $ABC$ with $AB=AC$, and $D$ as the foot of the altitude from the vertex $A$. The point $E$ lies on the side $AB$ such that $\\angle ACE = \\angle ECB = 18^{\\circ}$. If $AD = 3$, find the length of the segment $CE$.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Edward Longshanks and the Hammer of the Scots",
"style": "rule"
} | {
"index": 8270,
"need_tools_kwargs": true,
"question": "What nicknames were applied to Margaret de Audley, 2nd Baroness Audley royal great grandfather ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "123",
"style": "rule"
} | {
"index": 8271,
"need_tools_kwargs": true,
"question": "Alicia has $n$ candies, where $n$ is a positive integer with three digits. If she buys $5$ more, she will have a multiple of $8$. If she loses $8$, she will have a multiple of $5$. What is the smallest possible value of $n$?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Barbara Frischmuth",
"style": "rule"
} | {
"index": 8272,
"need_tools_kwargs": true,
"question": "Which writer was born in a city with the biggest salt deposits of Austria?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "33\\%",
"style": "rule"
} | {
"index": 8273,
"need_tools_kwargs": true,
"question": "Francine wants to know if a local chemical plant is releasing toxic waste that makes the frogs mutate. In one local pond, she catches 5 frogs with extra legs, 2 frogs with 2 heads, two frogs that are bright red, and 18 normal frogs. What percentage of the frogs have mutated, rounded to the nearest integer?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Lee Louis Daniels",
"style": "rule"
} | {
"index": 8274,
"need_tools_kwargs": true,
"question": "Which director has received more Academy Award nominations, Jaromil Jireš or Lee Daniels?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8275,
"need_tools_kwargs": true,
"question": "A polynomial \\( P \\) with integer coefficients is called tricky if it has 4 as a root. A polynomial is called teeny if it has a degree of at most 1 and integer coefficients between -7 and 7, inclusive. How many nonzero tricky teeny polynomials are there?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "yes",
"style": "rule"
} | {
"index": 8276,
"need_tools_kwargs": true,
"question": "Do director of film Tigertail (Film) and director of film All Of A Sudden Peggy 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": "5",
"style": "rule"
} | {
"index": 8277,
"need_tools_kwargs": true,
"question": "有 7 个红球 8 个黑球，从中任取四个。当四个球均为一种颜色时，这种颜色为黑色的概率。答案的形式为\\(\\frac{k}{m}\\)，请给出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... | qa | {
"ground_truth": "no",
"style": "rule"
} | {
"index": 8278,
"need_tools_kwargs": true,
"question": "Do both directors of films Thomas (2001 Film) and Rarichan Enna Pauran have the same nationality?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": 8279,
"need_tools_kwargs": true,
"question": "设动圆圆心在抛物线 $y=\\frac{1}{4} x^{2}$ 上, 半径等于该圆圆心的纵坐标. 求所有这样的圆上点的集合的边界条件。请给出边界条件中最大y值的答案。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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 January 1938",
"style": "rule"
} | {
"index": 8280,
"need_tools_kwargs": true,
"question": "When did the director of film The Laboratory Of Mephistopheles die?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "108.0",
"style": "rule"
} | {
"index": 8281,
"need_tools_kwargs": true,
"question": "Greg's PPO algorithm obtained 90% of the possible reward on the CoinRun environment. CoinRun's maximum reward is half as much as the maximum ProcGen reward of 240. How much reward did Greg's PPO algorithm get?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "board game",
"style": "rule"
} | {
"index": 8282,
"need_tools_kwargs": true,
"question": "What were Diamond and Shogun?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8283,
"need_tools_kwargs": true,
"question": "Simplify the following expressions:\n\n(1) $\\sin^{4}{\\alpha} + \\tan^{2}{\\alpha} \\cdot \\cos^{4}{\\alpha} + \\cos^{2}{\\alpha}$\n\n(2) $\\frac{\\cos{(180^{\\circ} + \\alpha)} \\cdot \\sin{(\\alpha + 360^{\\circ})}}{\\sin{(-\\alpha - 180^{\\circ})} \\cdot \\cos{(-180^{\\circ} - \\alpha)}}$",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Grant Morrison and Frank Quitely",
"style": "rule"
} | {
"index": 8284,
"need_tools_kwargs": true,
"question": "Who created the character Brianna Hildebrand plays in \"Deadpool\"?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "-0.20710678118654766",
"style": "rule"
} | {
"index": 8285,
"need_tools_kwargs": true,
"question": "The equation $x^2 + 2x = i$ has two complex solutions. Determine the product of their real parts.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\frac{1}{4}",
"style": "rule"
} | {
"index": 8286,
"need_tools_kwargs": true,
"question": "Find the maximum possible value of the expression \\(x y (x - y)\\), given that \\(x, y \\in [0; 1]\\).",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "B, C, D",
"style": "rule"
} | {
"index": 8287,
"need_tools_kwargs": true,
"question": "Determine which of the following boards CANNOT be covered exactly and completely by a whole number of non-overlapping dominoes, given that one of the boards has a rectangular section cut out:\n- **3x4 board**\n- **3x5 board**\n- **4x4 board with one square removed**\n- **5x5 board**\n- **6x3 board**\nA) 3x4\nB) 3x5\nC) 4x4 with one removed\nD) 5x5\nE) 6x3",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "T\\_n=8+(3n-4)\\cdot 2^{n+1}",
"style": "rule"
} | {
"index": 8288,
"need_tools_kwargs": true,
"question": "Given an increasing sequence $\\{a\\_n\\}$, with $a\\_1=2$, the sum of its first $n$ terms is $S\\_n$, and it satisfies the equation $a\\_n^2+2=3(S\\_n+S_{n-1}) (n\\geqslant 2)$.\n\n1. Find the value of $a\\_2$;\n2. Find the general term formula for the sequence $\\{a\\_n\\}$;\n3. If sequence $\\{b\\_n\\}$ satisfies $\\log\\_2 \\frac{b\\_n}{a\\_n}=n$, find its sum of the first $n$ terms $T\\_n$.",
"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": "13",
"style": "rule"
} | {
"index": 8289,
"need_tools_kwargs": true,
"question": "给定曲线族 $2(2 \\sin \\theta-\\cos \\theta+3) x^{2}-(8 \\sin \\theta+\\cos \\theta+1) y=0, \\theta$ 为参数，求该曲线在直线 $y=2 x$ 上所截得的弦长的最大值。原始的答案是k\\sqrt{m}+n的形式，请给出k + m + n的值。",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | qa | {
"ground_truth": "Rome",
"style": "rule"
} | {
"index": 8290,
"need_tools_kwargs": true,
"question": "Where was the director of film Il Trono E La Seggiola 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": "April 16, 1888",
"style": "rule"
} | {
"index": 8291,
"need_tools_kwargs": true,
"question": "When is the director of film The Last Outlaw (1936 Film) 's birthday?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "4\\%",
"style": "rule"
} | {
"index": 8292,
"need_tools_kwargs": true,
"question": "From a container containing 5 liters of a 6% acid solution, 1 liter was poured out, after which 2 liters of water were added. Find the concentration of the resulting 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": "5\\sqrt{3}",
"style": "rule"
} | {
"index": 8293,
"need_tools_kwargs": true,
"question": "Determine the length of side $y$ in the following diagram:\n\n[asy]\nimport olympiad;\n\ndraw((0,0)--(4,0)--(2,2*sqrt(3))--cycle);\ndraw((0,0)--(-sqrt(3),0)--(2,2*sqrt(3))--cycle);\n\nlabel(\"10\",(-sqrt(3)/2,2*sqrt(3)/3),NW);\nlabel(\"$y$\",(3,2*sqrt(3)/3),NE);\n\ndraw(\"$30^\\circ$\",(4.2,0),NW);\ndraw(\"$45^\\circ$\",(-sqrt(3)-0.6,0),NE);\n\ndraw(rightanglemark((2,2*sqrt(3)),(0,0),(4,0),4));\n\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... | qa | {
"ground_truth": "Stacy Edwards",
"style": "rule"
} | {
"index": 8294,
"need_tools_kwargs": true,
"question": "Which star of Houdini was born on March 4, 1965 ?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Leroy & Stitch",
"style": "rule"
} | {
"index": 8295,
"need_tools_kwargs": true,
"question": "Liliana Mumy reprises her role as Mertle Edmonds for the final time in a feature length film in which movie?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "Jan Rosenthal",
"style": "rule"
} | {
"index": 8296,
"need_tools_kwargs": true,
"question": "Who was born first, Jan Rosenthal or Tunay Açar?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wiki... | math | {
"ground_truth": "\\$20.74",
"style": "rule"
} | {
"index": 8297,
"need_tools_kwargs": true,
"question": "Joan bought toy cars for $14.88, a skateboard for $4.88, and got toy trucks for $5.86. She spent $14.55 on pants. In total, how much did Joan spend on toys?",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": 8298,
"need_tools_kwargs": true,
"question": "Paula and her three helpers each paint at different constant rates. They start each day at 8:00 AM and take the same amount of time for lunch. On Monday, the four of them painted 60% of a house and finished at 5:00 PM. On Tuesday, Paula and two helpers painted 30% of the house and finished at 3:00 PM, while the fourth helper was absent. On Wednesday, Paula worked by herself and finished the remaining 10% of the house by working until 9:00 PM. Determine the length of the lunch break each day, in minutes.",
"split": "train"
} | null |
DR_grpo_mix | [
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, 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": "915",
"style": "rule"
} | {
"index": 8299,
"need_tools_kwargs": true,
"question": "We will call a natural number \\( n \\) squareable if the numbers from 1 to \\( n \\) can be arranged in such a way that each member of the sequence, when added to its position number, results in a perfect square. For example, the number 5 is squareable because the numbers can be arranged like this: 32154, where \\(3+1=4\\), \\(2+2=4\\), \\(1+3=4\\), \\(5+4=9\\).\n\nDetermine which of the following numbers are squareable: 7, 9, 11, 15.",
"split": "train"
} | null |
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