data_source stringclasses 2
values | prompt listlengths 1 1 | ability stringclasses 1
value | reward_model dict | extra_info dict |
|---|---|---|---|---|
general-reasoner | [
{
"content": "你是一位符号运算专家，请根据给定的符号定义计算表达式：定义 ◇，规则如下：\n实数域上，x ◇ y = x*(-x*y + y - 1)。\n运算优先级：** = ◇ > * = / = % > + = -。\n括号具有最高优先级，先计算括号内的表达式。\n请计算表达式的值: 6，并将最终答案填入\\boxed{}中 Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] | reasoning | {
"ground_truth": "6",
"style": "rule"
} | {
"answer": "6",
"index": 33009,
"level": 7.5,
"question": "你是一位符号运算专家，请根据给定的符号定义计算表达式：定义 ◇，规则如下：\n实数域上，x ◇ y = x*(-x*y + y - 1)。\n运算优先级：** = ◇ > * = / = % > + = -。\n括号具有最高优先级，先计算括号内的表达式。\n请计算表达式的值: 6，并将最终答案填入\\boxed{}中",
"split": "train"
} |
general-reasoner | [
{
"content": "这是一个计算数独游戏，大小为 N×N。网格中有多个区域，每个区域都指定了运算方式和目标数字。请你在每行和每列中填入 1 到 N 的数字，注意在每行、每列和每个区域中数字都不能重复。例如，(1,1)(2,1)(3,1):12+ 表示这些位置上的数字相加必须等于 12。\\nThe size of the grid is 4×4.\\n((3,3),(3,2),(4,2)):6*\\n((4,4),(4,3)):2÷\\n((2,1),(3,1),(4,1)):8+\\n((2,4),(2,3),(2,2)):24*\\n((1,2),(1,3),(1,4)):12*\\n((3,4),(1,... | reasoning | {
"ground_truth": "[[2 4 3 1,1 2 4 3,3 1 2 4,4 3 1 2]]",
"style": "rule"
} | {
"answer": "[[2 4 3 1,1 2 4 3,3 1 2 4,4 3 1 2]]",
"index": 22819,
"level": 7.5,
"question": "这是一个计算数独游戏，大小为 N×N。网格中有多个区域，每个区域都指定了运算方式和目标数字。请你在每行和每列中填入 1 到 N 的数字，注意在每行、每列和每个区域中数字都不能重复。例如，(1,1)(2,1)(3,1):12+ 表示这些位置上的数字相加必须等于 12。\\nThe size of the grid is 4×4.\\n((3,3),(3,2),(4,2)):6*\\n((4,4),(4,3)):2÷\\n((2,1),... |
math_level3-5 | [
{
"content": "A region $S$ in the complex plane is defined by \\begin{align*}\nS = \\{x + iy: - 1\\le x\\le1, - 1\\le y\\le1\\}.\n\\end{align*}A complex number $z = x + iy$ is chosen uniformly at random from $S$. What is the probability that $\\left(\\frac34 + \\frac34i\\right)z$ is also in $S$? Please reason s... | reasoning | {
"ground_truth": "\\frac 79",
"style": "rule"
} | {
"answer": "\\frac 79",
"index": 4076,
"level": 5,
"question": "A region $S$ in the complex plane is defined by \\begin{align*}\nS = \\{x + iy: - 1\\le x\\le1, - 1\\le y\\le1\\}.\n\\end{align*}A complex number $z = x + iy$ is chosen uniformly at random from $S$. What is the probability that $\\left(\\frac34 + ... |
math_level3-5 | [
{
"content": "Let $f : \\mathbb{R} \\to \\mathbb{R}$ be a function such that\n\\[f(x^2 + yf(z)) = xf(x) + zf(y)\\]for all real numbers $x,$ $y,$ and $z.$\n\nLet $n$ be the number of possible values of $f(5),$ and let $s$ be the sum of all possible values of $f(5).$ Find $n \\times s.$ Please reason step by ste... | reasoning | {
"ground_truth": "10",
"style": "rule"
} | {
"answer": "10",
"index": 85,
"level": 5,
"question": "Let $f : \\mathbb{R} \\to \\mathbb{R}$ be a function such that\n\\[f(x^2 + yf(z)) = xf(x) + zf(y)\\]for all real numbers $x,$ $y,$ and $z.$\n\nLet $n$ be the number of possible values of $f(5),$ and let $s$ be the sum of all possible values of $f(5).$ Fin... |
general-reasoner | [
{
"content": "In this question, assume each person either always tells the truth or always lies.\nClues: the person at the exhibition center says Henry tells the truth. the person at the community center says Madison lies. the person at the office says Harper lies. Alexander is at the swimming pool. the person ... | reasoning | {
"ground_truth": "no, no, yes, yes, no, no, no, no, no",
"style": "rule"
} | {
"answer": "no, no, yes, yes, no, no, no, no, no",
"index": 15253,
"level": 7.5,
"question": "In this question, assume each person either always tells the truth or always lies.\nClues: the person at the exhibition center says Henry tells the truth. the person at the community center says Madison lies. the pers... |
math_level3-5 | [
{
"content": "In triangle $ABC$, $BC = 4$, $AC = 3 \\sqrt{2}$, and $\\angle C = 45^\\circ$. Altitudes $AD$, $BE$, and $CF$ intersect at the orthocenter $H$. Find $AH:HD$. Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] | reasoning | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 7611,
"level": 5,
"question": "In triangle $ABC$, $BC = 4$, $AC = 3 \\sqrt{2}$, and $\\angle C = 45^\\circ$. Altitudes $AD$, $BE$, and $CF$ intersect at the orthocenter $H$. Find $AH:HD$.",
"split": "train"
} |
math_level3-5 | [
{
"content": "Given that $(1+\\sin t)(1+\\cos t)=5/4$ and\n$(1-\\sin t)(1-\\cos t)=\\frac mn-\\sqrt{k},$\nwhere $k, m,$ and $n$ are positive integers with $m$ and $n$ relatively prime, find $k+m+n.$ Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] | reasoning | {
"ground_truth": "27",
"style": "rule"
} | {
"answer": "27",
"index": 4604,
"level": 5,
"question": "Given that $(1+\\sin t)(1+\\cos t)=5/4$ and\n$(1-\\sin t)(1-\\cos t)=\\frac mn-\\sqrt{k},$\nwhere $k, m,$ and $n$ are positive integers with $m$ and $n$ relatively prime, find $k+m+n.$",
"split": "train"
} |
general-reasoner | [
{
"content": "Below are the rules for a specific cipher.\n\n### Cipher Rule:\n\n**Encryption Rules:**\n\n- Input:\n - Plaintext: Uppercase letters string without punctuation and spaces, using the alphabet \"XMJQUDONPRGTVBWFAKSHZCYEIL\".\n- Output:\n - Ciphertext: Uppercase letters string without punctuati... | reasoning | {
"ground_truth": "[[FBIZYBSUAMAVZMYNLKDN]]",
"style": "rule"
} | {
"answer": "[[FBIZYBSUAMAVZMYNLKDN]]",
"index": 1900,
"level": 5.5,
"question": "Below are the rules for a specific cipher.\n\n### Cipher Rule:\n\n**Encryption Rules:**\n\n- Input:\n - Plaintext: Uppercase letters string without punctuation and spaces, using the alphabet \"XMJQUDONPRGTVBWFAKSHZCYEIL\".\n- O... |
general-reasoner | [
{
"content": "Here's a boolean expression challenge:\n\nEvaluate the following boolean expressions and select the ones that are true:\n\nA. not (Gold is a liquid at room temperature.)\nB. ((The Sun revolves around the Earth.) and ((2 * -9 - 4 * 0) is less than (4 - (1 / -7)))) or (((-12 - (-3 / 9)) is less than... | reasoning | {
"ground_truth": "A,B,C,F",
"style": "rule"
} | {
"answer": "A,B,C,F",
"index": 35563,
"level": 7.5,
"question": "Here's a boolean expression challenge:\n\nEvaluate the following boolean expressions and select the ones that are true:\n\nA. not (Gold is a liquid at room temperature.)\nB. ((The Sun revolves around the Earth.) and ((2 * -9 - 4 * 0) is less than... |
math_level3-5 | [
{
"content": "Roger has exactly one of each of the first 22 states' new U.S. quarters. The quarters were released in the same order that the states joined the union. The graph below shows the number of states that joined the union in each decade. What fraction of Roger's 22 coins represents states that j... | reasoning | {
"ground_truth": "\\frac{6}{11}",
"style": "rule"
} | {
"answer": "\\frac{6}{11}",
"index": 870,
"level": 5,
"question": "Roger has exactly one of each of the first 22 states' new U.S. quarters. The quarters were released in the same order that the states joined the union. The graph below shows the number of states that joined the union in each decade. What ... |
general-reasoner | [
{
"content": "Solve the following Sudoku puzzle, where X indicates an empty space:\n1296X3XXX\n48X2X15X3\nXX67X892X\nX3X52XX1X\nXX58X7XXX\n6X243X87X\n2X19XX3XX\nX7436X1XX\n5X3X82647\nPlease fill in all the empty spaces according to Sudoku rules.\n\nSudoku rules: Fill in digits 1-9 so that each digit appears exa... | reasoning | {
"ground_truth": "((1, 2, 9, 6, 5, 3, 7, 8, 4), (4, 8, 7, 2, 9, 1, 5, 6, 3), (3, 5, 6, 7, 4, 8, 9, 2, 1), (7, 3, 8, 5, 2, 6, 4, 1, 9), (9, 4, 5, 8, 1, 7, 2, 3, 6), (6, 1, 2, 4, 3, 9, 8, 7, 5), (2, 6, 1, 9, 7, 4, 3, 5, 8), (8, 7, 4, 3, 6, 5, 1, 9, 2), (5, 9, 3, 1, 8, 2, 6, 4, 7))",
"style": "rule"
} | {
"answer": "((1, 2, 9, 6, 5, 3, 7, 8, 4), (4, 8, 7, 2, 9, 1, 5, 6, 3), (3, 5, 6, 7, 4, 8, 9, 2, 1), (7, 3, 8, 5, 2, 6, 4, 1, 9), (9, 4, 5, 8, 1, 7, 2, 3, 6), (6, 1, 2, 4, 3, 9, 8, 7, 5), (2, 6, 1, 9, 7, 4, 3, 5, 8), (8, 7, 4, 3, 6, 5, 1, 9, 2), (5, 9, 3, 1, 8, 2, 6, 4, 7))",
"index": 17703,
"level": 7.5,
"ques... |
math_level3-5 | [
{
"content": "At a certain university, the division of mathematical sciences consists of the departments of mathematics, statistics, and computer science. There are two male and two female professors in each department. A committee of six professors is to contain three men and three women and must also contain ... | reasoning | {
"ground_truth": "88",
"style": "rule"
} | {
"answer": "88",
"index": 124,
"level": 5,
"question": "At a certain university, the division of mathematical sciences consists of the departments of mathematics, statistics, and computer science. There are two male and two female professors in each department. A committee of six professors is to contain three... |
general-reasoner | [
{
"content": "考虑一个新的字母表，其字母顺序与英语字母表相同，只是字母y和b被移到了最前面。按升序排序以下单词并用逗号分隔: quadruplicated,thermopower,jarbird,immigrator,junketeer,fussbudgety,yay,retrenchable,lavroffite,kurku。请将排序结果放入：\\boxed{},如下所示: \\boxed{word1,word2,word3}。 Please reason step by step, and put your final answer within \\boxed{}.",
"role": "... | reasoning | {
"ground_truth": "yay, fussbudgety, immigrator, jarbird, junketeer, kurku, lavroffite, quadruplicated, retrenchable, thermopower",
"style": "rule"
} | {
"answer": "yay, fussbudgety, immigrator, jarbird, junketeer, kurku, lavroffite, quadruplicated, retrenchable, thermopower",
"index": 10153,
"level": 5.5,
"question": "考虑一个新的字母表，其字母顺序与英语字母表相同，只是字母y和b被移到了最前面。按升序排序以下单词并用逗号分隔: quadruplicated,thermopower,jarbird,immigrator,junketeer,fussbudgety,yay,retrenchable,la... |
general-reasoner | [
{
"content": "Fill in this word puzzle grid:\nacross words: oil,kee\ndown words: sleb,tope\nGrid layout (X=letter position, 0=empty space):\n0 0 X X\nX X X X\nX X X X\n0 0 X X\n\nINSTRUCTIONS:\n1. Fill in the grid with the given... | reasoning | {
"ground_truth": "[' ', ' ', 's', 't']",
"style": "rule"
} | {
"answer": "[' ', ' ', 's', 't']",
"index": 33939,
"level": 7.5,
"question": "Fill in this word puzzle grid:\nacross words: oil,kee\ndown words: sleb,tope\nGrid layout (X=letter position, 0=empty space):\n0 0 X X\nX X X X\nX X X X\n0 0 ... |
general-reasoner | [
{
"content": "这里有个运算表达式 ?*7-?+?*1%?*?+?+(?*1)%? = 19，等号左边的数字是缺失的，以?来呈现，每个?都意味着一个 0 到 9 之间的数字。请还原该表达式。\n\n请在回答的末尾，将填充完整的运算表达式，放到 [[ 与 ]] 中间，无需其他内容，形如：\n[[2 + 4 * 3 - 4 = 10]] Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] | reasoning | {
"ground_truth": "0 *7 -9 +8 *1 %5 *7 +1 +(6 *1) %7 = 19",
"style": "rule"
} | {
"answer": "0 *7 -9 +8 *1 %5 *7 +1 +(6 *1) %7 = 19",
"index": 18605,
"level": 7.5,
"question": "这里有个运算表达式 ?*7-?+?*1%?*?+?+(?*1)%? = 19，等号左边的数字是缺失的，以?来呈现，每个?都意味着一个 0 到 9 之间的数字。请还原该表达式。\n\n请在回答的末尾，将填充完整的运算表达式，放到 [[ 与 ]] 中间，无需其他内容，形如：\n[[2 + 4 * 3 - 4 = 10]]",
"split": "train"
} |
general-reasoner | [
{
"content": "以下是一个包含 63 行（包括表头）和 18 列的表格，以 行主序 格式 保存为：\n[date, num_steps, study_minutes, exercise_minutes, sleep_minutes, bed_time, num_messages, num_emails, num_calls, calories_burned, weekday, calories_consumed, num_meetings, coding_minutes, num_tasks_completed, water_intake_ml, phone_screen_time_minutes, mu... | reasoning | {
"ground_truth": "1035.00",
"style": "rule"
} | {
"answer": "1035.00",
"index": 28402,
"level": 7.5,
"question": "以下是一个包含 63 行（包括表头）和 18 列的表格，以 行主序 格式 保存为：\n[date, num_steps, study_minutes, exercise_minutes, sleep_minutes, bed_time, num_messages, num_emails, num_calls, calories_burned, weekday, calories_consumed, num_meetings, coding_minutes, num_tasks_compl... |
general-reasoner | [
{
"content": "As a dyck language expert, you need to analyze a sequence where all types of brackets ([], {}, <>, etc.) must be properly closed. You'll examine an initial sequence and the reasoning steps used to verify bracket closure.\n\nYour task is to identify all mistakes in the reasoning process, as there m... | reasoning | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"index": 25638,
"level": 7.5,
"question": "As a dyck language expert, you need to analyze a sequence where all types of brackets ([], {}, <>, etc.) must be properly closed. You'll examine an initial sequence and the reasoning steps used to verify bracket closure.\n\nYour task is to identify all... |
general-reasoner | [
{
"content": "Welcome to Calcudoko! You'll be solving a puzzle on an N×N grid. The grid contains several regions, each with its own mathematical operation and target number. Fill in numbers 1 to N in each row and column, making sure no number repeats in any row, column, or region. For instance, (1,1)(2,1)(3,1):... | reasoning | {
"ground_truth": "[[4 3 2 1,1 2 3 4,2 1 4 3,3 4 1 2]]",
"style": "rule"
} | {
"answer": "[[4 3 2 1,1 2 3 4,2 1 4 3,3 4 1 2]]",
"index": 22600,
"level": 7.5,
"question": "Welcome to Calcudoko! You'll be solving a puzzle on an N×N grid. The grid contains several regions, each with its own mathematical operation and target number. Fill in numbers 1 to N in each row and column, making sure... |
general-reasoner | [
{
"content": "你是一个括号语言专家，需要分析括号的闭合情况。\n这是一个包含4种括号的序列，总长度为20。请找出第一个出现错误的位置（以1为起始索引）。错误定义为第一个破坏预期模式的字符，例如未匹配的括号或顺序错误的括号。如果序列中间没有错误，但末尾存在未闭合的括号，则错误位置被认为是在序列末尾的下一个位置。\n如果序列合法，请直接输出-1；如果不合法，请直接输出第一个错误的位置编号。\n\n括号序列：{(){}[[<>{<>[<[(())< Please reason step by step, and put your final answer within \\boxed{}.",
"ro... | reasoning | {
"ground_truth": "21",
"style": "rule"
} | {
"answer": "21",
"index": 24693,
"level": 7.5,
"question": "你是一个括号语言专家，需要分析括号的闭合情况。\n这是一个包含4种括号的序列，总长度为20。请找出第一个出现错误的位置（以1为起始索引）。错误定义为第一个破坏预期模式的字符，例如未匹配的括号或顺序错误的括号。如果序列中间没有错误，但末尾存在未闭合的括号，则错误位置被认为是在序列末尾的下一个位置。\n如果序列合法，请直接输出-1；如果不合法，请直接输出第一个错误的位置编号。\n\n括号序列：{(){}[[<>{<>[<[(())<",
"split": "train"
} |
general-reasoner | [
{
"content": "Here's a dataset with 46 rows (including header row) and 18 columns, which was converted to row-major format:\n[date, num_steps, study_minutes, exercise_minutes, sleep_minutes, bed_time, num_messages, num_emails, num_calls, calories_burned, weekday, calories_consumed, num_meetings, coding_minutes,... | reasoning | {
"ground_truth": "13003.20",
"style": "rule"
} | {
"answer": "13003.20",
"index": 28407,
"level": 7.5,
"question": "Here's a dataset with 46 rows (including header row) and 18 columns, which was converted to row-major format:\n[date, num_steps, study_minutes, exercise_minutes, sleep_minutes, bed_time, num_messages, num_emails, num_calls, calories_burned, week... |
general-reasoner | [
{
"content": "Now there is an operation expression, ?%?%?*?*?*?%?%?%?%?+? = 8, and the numbers on the left side of the equal sign are missing, represented by '?'. Each '?' represents a number between 0 and 9. Please try to restore the expression.\n\nPlease place the completed arithmetic expression at the end of... | reasoning | {
"ground_truth": "4 %5 %1 *7 *8 *0 %3 %2 %2 %6 +8 = 8",
"style": "rule"
} | {
"answer": "4 %5 %1 *7 *8 *0 %3 %2 %2 %6 +8 = 8",
"index": 18619,
"level": 7.5,
"question": "Now there is an operation expression, ?%?%?*?*?*?%?%?%?%?+? = 8, and the numbers on the left side of the equal sign are missing, represented by '?'. Each '?' represents a number between 0 and 9. Please try to restore t... |
math_level3-5 | [
{
"content": "The graph of the equation \\[\\sqrt{x^2+y^2} + |y-1| = 3\\]consists of portions of two different parabolas. Compute the distance between the vertices of the parabolas. Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] | reasoning | {
"ground_truth": "3",
"style": "rule"
} | {
"answer": "3",
"index": 6511,
"level": 5,
"question": "The graph of the equation \\[\\sqrt{x^2+y^2} + |y-1| = 3\\]consists of portions of two different parabolas. Compute the distance between the vertices of the parabolas.",
"split": "train"
} |
general-reasoner | [
{
"content": "This is a 4x4 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") between certain squares in the grid. These inequality signs in... | reasoning | {
"ground_truth": "[1, 3, 4, 2]",
"style": "rule"
} | {
"answer": "[1, 3, 4, 2]",
"index": 27033,
"level": 7.5,
"question": "This is a 4x4 Futoshiki puzzle. Game rules:\n1. Fill in the n x n grid with numbers so that each row and column contains all numbers from 1 to n without repetition.\n2. There are inequality signs (greater than \">\" or less than \"<\") betwe... |
general-reasoner | [
{
"content": "我有一个表格，包含 6 行（包括表头）和 18 列。该表格以 markdown 格式 转换为 如下：\n| date | num_steps | study_minutes | exercise_minutes | sleep_minutes | bed_time | num_messages | num_emails | num_calls | calories_burned | weekday | calories_consumed | num_meetings | coding_minutes | num_tasks_completed | water_intake_ml | pho... | reasoning | {
"ground_truth": "139.00",
"style": "rule"
} | {
"answer": "139.00",
"index": 564,
"level": 5.5,
"question": "我有一个表格，包含 6 行（包括表头）和 18 列。该表格以 markdown 格式 转换为 如下：\n| date | num_steps | study_minutes | exercise_minutes | sleep_minutes | bed_time | num_messages | num_emails | num_calls | calories_burned | weekday | calories_consumed | num_meetings | coding_minu... |
general-reasoner | [
{
"content": "符号运算挑战：请遵循给定的符号定义，计算表达式定义 ◎，规则如下：\n当y是5的倍数时，x ◎ y = x*y**2；\n其他情况下，x ◎ y = x - 5 + 1/y。\n和 ⊗，规则如下：\n当x小于y时，x ⊗ y = (x * y + 3) - y ◎ x；\n其他情况下，x ⊗ y = x ◎ y * x * y / x。\n和 △，规则如下：\n实数域上，x △ y = 1 ◎ y * y + x + x。\n运算优先级：△ > ** > * = / = % = ◎ > + = - = ⊗。\n括号具有最高优先级，先计算括号内的表达式。\n请计算表达式的值: 8... | reasoning | {
"ground_truth": "16.02",
"style": "rule"
} | {
"answer": "16.02",
"index": 31623,
"level": 7.5,
"question": "符号运算挑战：请遵循给定的符号定义，计算表达式定义 ◎，规则如下：\n当y是5的倍数时，x ◎ y = x*y**2；\n其他情况下，x ◎ y = x - 5 + 1/y。\n和 ⊗，规则如下：\n当x小于y时，x ⊗ y = (x * y + 3) - y ◎ x；\n其他情况下，x ⊗ y = x ◎ y * x * y / x。\n和 △，规则如下：\n实数域上，x △ y = 1 ◎ y * y + x + x。\n运算优先级：△ > ** > * = / = % = ... |
general-reasoner | [
{
"content": "解决这个 5 x 5 的箭头迷宫谜题。\n迷宫中，X 是需要填入箭头的空格，数字是箭头射线的起始点。\n箭头可以是八个方向中的任意一个：↑、↓、←、→、↖、↗、↘、↙。\n每个数字表示从该点出发的所有射线箭头总数。\n迷宫网格如下所示：\n[\n [\n \"X\",\n \"X\",\n \"1\",\n \"X\",\n \"2\"\n ],\n [\n \"1\",\n \"←\",\n \"X\",\n \"3\",\n \"... | reasoning | {
"ground_truth": "[[\"\\u2191\", \"\\u2190\", \"1\", \"\\u2190\", \"2\"], [\"1\", \"\\u2190\", \"\\u2190\", \"3\", \"\\u2193\"], [\"2\", \"2\", \"2\", \"1\", \"\\u2198\"], [\"\\u2193\", \"\\u2193\", \"\\u2193\", \"2\", \"\\u2198\"], [\"\\u2193\", \"\\u2193\", \"\\u2193\", \"\\u2193\", \"\\u2198\"]]",
"style": "rul... | {
"answer": "[[\"\\u2191\", \"\\u2190\", \"1\", \"\\u2190\", \"2\"], [\"1\", \"\\u2190\", \"\\u2190\", \"3\", \"\\u2193\"], [\"2\", \"2\", \"2\", \"1\", \"\\u2198\"], [\"\\u2193\", \"\\u2193\", \"\\u2193\", \"2\", \"\\u2198\"], [\"\\u2193\", \"\\u2193\", \"\\u2193\", \"\\u2193\", \"\\u2198\"]]",
"index": 20919,
"... |
general-reasoner | [
{
"content": "你是一位精通dyck语言的专家，其中你必须完成所有类型的未闭合括号（例如[]，{}，<>）的语言序列。你需要根据dyck语言规则，分析括号配对的步骤是否正确。\n\n给定一个初始dyck语言序列和用于推导闭合括号序列的步骤（以思考过程的形式给出），你的任务是确定dyck语言中存在错误推理的位置，可能存在多个错误。\n\n这可能是忘记闭合某个括号、使用错误的闭合括号或者在下一步中不正确地复制闭合括号的子序列。\n\n任务：检查序列，确保括号正确闭合。\n输入：[]([()[]])()()()\nThought 1: 我们应该逐个处理输入并跟踪栈的配置。\nThought 2: 栈: 空\nT... | reasoning | {
"ground_truth": "18",
"style": "rule"
} | {
"answer": "18",
"index": 25585,
"level": 7.5,
"question": "你是一位精通dyck语言的专家，其中你必须完成所有类型的未闭合括号（例如[]，{}，<>）的语言序列。你需要根据dyck语言规则，分析括号配对的步骤是否正确。\n\n给定一个初始dyck语言序列和用于推导闭合括号序列的步骤（以思考过程的形式给出），你的任务是确定dyck语言中存在错误推理的位置，可能存在多个错误。\n\n这可能是忘记闭合某个括号、使用错误的闭合括号或者在下一步中不正确地复制闭合括号的子序列。\n\n任务：检查序列，确保括号正确闭合。\n输入：[]([()[]])()()()\nTh... |
general-reasoner | [
{
"content": "Tree structure reasoning problem: You have been given a tree structure with 276 nodes. top has no children. microwave, and sunflower, knee pad, coffee mug, cheese and teapot are siblings. coat hook has 6 children: sunflower, microwave, knee pad, coffee mug, cheese, teapot. post-it has no children.... | reasoning | {
"ground_truth": "cabbage, luggage rack, setting powder, toy train, wrench",
"style": "rule"
} | {
"answer": "cabbage, luggage rack, setting powder, toy train, wrench",
"index": 34399,
"level": 7.5,
"question": "Tree structure reasoning problem: You have been given a tree structure with 276 nodes. top has no children. microwave, and sunflower, knee pad, coffee mug, cheese and teapot are siblings. coat hook... |
general-reasoner | [
{
"content": "Complete the following sequence to make it a valid bracket sequence. The sequence may contain: parentheses (), square brackets [], curly braces {{}}, angle brackets <>.\n{}[][[()]{(\n\nRequirement: Use the minimal completion. Output only the final sequence. Example:\n([<>]) Please reason step by s... | reasoning | {
"ground_truth": "{}[][[()]{()}]",
"style": "rule"
} | {
"answer": "{}[][[()]{()}]",
"index": 23293,
"level": 7.5,
"question": "Complete the following sequence to make it a valid bracket sequence. The sequence may contain: parentheses (), square brackets [], curly braces {{}}, angle brackets <>.\n{}[][[()]{(\n\nRequirement: Use the minimal completion. Output only t... |
math_level3-5 | [
{
"content": "Find the number of ordered pairs of positive integers $(a,b)$ such that $a+b=1000$ and neither $a$ nor $b$ has a zero digit. Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] | reasoning | {
"ground_truth": "738",
"style": "rule"
} | {
"answer": "738",
"index": 2747,
"level": 5,
"question": "Find the number of ordered pairs of positive integers $(a,b)$ such that $a+b=1000$ and neither $a$ nor $b$ has a zero digit.",
"split": "train"
} |
general-reasoner | [
{
"content": "请完成下面的括号序列，使其成为一个合法的括号序列。序列中的括号可以是以下类型：圆括号(), 方括号[], 花括号{{}}, 尖括号<>。\n<>{<><<()>[{(()\n\n补充要求：使用最短的补充序列。直接输出完整结果，只需包含最终的序列。输出格式示例：\n{[()]} Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] | reasoning | {
"ground_truth": "<>{<><<()>[{(())}]>}",
"style": "rule"
} | {
"answer": "<>{<><<()>[{(())}]>}",
"index": 23415,
"level": 7.5,
"question": "请完成下面的括号序列，使其成为一个合法的括号序列。序列中的括号可以是以下类型：圆括号(), 方括号[], 花括号{{}}, 尖括号<>。\n<>{<><<()>[{(()\n\n补充要求：使用最短的补充序列。直接输出完整结果，只需包含最终的序列。输出格式示例：\n{[()]}",
"split": "train"
} |
general-reasoner | [
{
"content": "下面的表格有 6 行（带表头）和 18 列。它以 行主序 表示方式 转换为：\n[date, num_steps, study_minutes, exercise_minutes, sleep_minutes, bed_time, num_messages, num_emails, num_calls, calories_burned, weekday, calories_consumed, num_meetings, coding_minutes, num_tasks_completed, water_intake_ml, phone_screen_time_minutes, music... | reasoning | {
"ground_truth": "0.00",
"style": "rule"
} | {
"answer": "0.00",
"index": 28414,
"level": 7.5,
"question": "下面的表格有 6 行（带表头）和 18 列。它以 行主序 表示方式 转换为：\n[date, num_steps, study_minutes, exercise_minutes, sleep_minutes, bed_time, num_messages, num_emails, num_calls, calories_burned, weekday, calories_consumed, num_meetings, coding_minutes, num_tasks_completed, ... |
general-reasoner | [
{
"content": "Complete the following Survo puzzle. In this 8*8 matrix:\n[['X', 4, 7, 5, 'X', 7, 4, 43], [2, 'X', 6, 7, 'X', 'X', 'X', 27], [7, 'X', 4, 5, 1, 3, 2, 27], ['X', 5, 6, 7, 'X', 2, 7, 38], [3, 'X', 2, 4, 2, 3, 1, 22], [5, 2, 1, 5, 'X', 7, 4, 33], [8, 9, 5, 3, 'X', 9, 6, 45], [35, 37, 31, 36, 35, 35, 2... | reasoning | {
"ground_truth": "[[7, 4, 7, 5, 9, 7, 4, 43], [2, 5, 6, 7, 1, 4, 2, 27], [7, 5, 4, 5, 1, 3, 2, 27], [3, 5, 6, 7, 8, 2, 7, 38], [3, 7, 2, 4, 2, 3, 1, 22], [5, 2, 1, 5, 9, 7, 4, 33], [8, 9, 5, 3, 5, 9, 6, 45], [35, 37, 31, 36, 35, 35, 26, 235]]",
"style": "rule"
} | {
"answer": "[[7, 4, 7, 5, 9, 7, 4, 43], [2, 5, 6, 7, 1, 4, 2, 27], [7, 5, 4, 5, 1, 3, 2, 27], [3, 5, 6, 7, 8, 2, 7, 38], [3, 7, 2, 4, 2, 3, 1, 22], [5, 2, 1, 5, 9, 7, 4, 33], [8, 9, 5, 3, 5, 9, 6, 45], [35, 37, 31, 36, 35, 35, 26, 235]]",
"index": 21478,
"level": 7.5,
"question": "Complete the following Survo ... |
general-reasoner | [
{
"content": "Solve this wordscapes puzzle:\nacross words: why,truth,parasitology,slid,laparocolostomy,perle\ndown words: digraph,gal,tricycler,extenuate\nGrid (X=letter position, 0=empty space):\n0 0 0 X X X X 0 X 0 0 0 0 ... | reasoning | {
"ground_truth": "[' ', ' ', ' ', 's', 'l', 'i', 'd', ' ', 'e', ' ', ' ', ' ', ' ', ' ', ' ']",
"style": "rule"
} | {
"answer": "[' ', ' ', ' ', 's', 'l', 'i', 'd', ' ', 'e', ' ', ' ', ' ', ' ', ' ', ' ']",
"index": 33685,
"level": 7.5,
"question": "Solve this wordscapes puzzle:\nacross words: why,truth,parasitology,slid,laparocolostomy,perle\ndown words: digraph,gal,tricycler,extenuate\nGrid (X=letter position, 0=empty spac... |
general-reasoner | [
{
"content": "Take a look at this Sudoku game, where X marks the positions you need to fill:\n83X524X67\n562971384\n417863295\n7536X8912\n128795436\nX94132578\nXX13X6XX9\n3754X96X1\n9X6217853\nPlease solve this puzzle according to Sudoku rules.\n\nRules of the Sudoku game: Each row, column, and 3×3 box must con... | reasoning | {
"ground_truth": "((8, 3, 9, 5, 2, 4, 1, 6, 7), (5, 6, 2, 9, 7, 1, 3, 8, 4), (4, 1, 7, 8, 6, 3, 2, 9, 5), (7, 5, 3, 6, 4, 8, 9, 1, 2), (1, 2, 8, 7, 9, 5, 4, 3, 6), (6, 9, 4, 1, 3, 2, 5, 7, 8), (2, 8, 1, 3, 5, 6, 7, 4, 9), (3, 7, 5, 4, 8, 9, 6, 2, 1), (9, 4, 6, 2, 1, 7, 8, 5, 3))",
"style": "rule"
} | {
"answer": "((8, 3, 9, 5, 2, 4, 1, 6, 7), (5, 6, 2, 9, 7, 1, 3, 8, 4), (4, 1, 7, 8, 6, 3, 2, 9, 5), (7, 5, 3, 6, 4, 8, 9, 1, 2), (1, 2, 8, 7, 9, 5, 4, 3, 6), (6, 9, 4, 1, 3, 2, 5, 7, 8), (2, 8, 1, 3, 5, 6, 7, 4, 9), (3, 7, 5, 4, 8, 9, 6, 2, 1), (9, 4, 6, 2, 1, 7, 8, 5, 3))",
"index": 7708,
"level": 5.5,
"quest... |
general-reasoner | [
{
"content": "Context:\ngrid: [\"['M', 'Z', 'S', 'D', 'P']\", \"['K', 'N', 'F', 'L', 'Q']\", \"['G', 'A', 'O', 'X', 'U']\", \"['W', 'R', 'Y', 'V', 'C']\", \"['B', 'T', 'E', 'H', 'I']\"]\nrow_headers: ['M', 'K', 'G', 'W', 'B']\ncol_bottoms: ['P', 'Q', 'U', 'C', 'I']\n\nCiphertext: \"BIMPGIKUGIMPKI\"\n\nPlease pr... | reasoning | {
"ground_truth": "[[IMUFUMQ]]",
"style": "rule"
} | {
"answer": "[[IMUFUMQ]]",
"index": 13297,
"level": 7.5,
"question": "Context:\ngrid: [\"['M', 'Z', 'S', 'D', 'P']\", \"['K', 'N', 'F', 'L', 'Q']\", \"['G', 'A', 'O', 'X', 'U']\", \"['W', 'R', 'Y', 'V', 'C']\", \"['B', 'T', 'E', 'H', 'I']\"]\nrow_headers: ['M', 'K', 'G', 'W', 'B']\ncol_bottoms: ['P', 'Q', 'U', ... |
math_level3-5 | [
{
"content": "How many triangles with positive area have all their vertices at points $(i,j)$ in the coordinate plane, where $i$ and $j$ are integers between $1$ and $5$, inclusive?\n$\\textbf{(A)}\\ 2128 \\qquad\\textbf{(B)}\\ 2148 \\qquad\\textbf{(C)}\\ 2160 \\qquad\\textbf{(D)}\\ 2200 \\qquad\\textbf{(E)}\\ ... | reasoning | {
"ground_truth": "2148",
"style": "rule"
} | {
"answer": "2148",
"index": 8576,
"level": 5,
"question": "How many triangles with positive area have all their vertices at points $(i,j)$ in the coordinate plane, where $i$ and $j$ are integers between $1$ and $5$, inclusive?\n$\\textbf{(A)}\\ 2128 \\qquad\\textbf{(B)}\\ 2148 \\qquad\\textbf{(C)}\\ 2160 \\qqu... |
math_level3-5 | [
{
"content": "Evaluate $\\log_{\\sqrt{6}} (216\\sqrt{6})$. Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] | reasoning | {
"ground_truth": "7",
"style": "rule"
} | {
"answer": "7",
"index": 2647,
"level": 5,
"question": "Evaluate $\\log_{\\sqrt{6}} (216\\sqrt{6})$.",
"split": "train"
} |
general-reasoner | [
{
"content": "Tree structure reasoning problem: You have been given a tree structure with 188 nodes. shrimp, and jacket and whiteboard marker are siblings. document bag, and peony and flashlight are siblings. bowling ball, and filing cabinet, ice cream and calculator are siblings. basketball, and glue, pneumati... | reasoning | {
"ground_truth": "bowling ball, bubble machine, calculator, cheese, facial cleanser, filing cabinet, hair dryer, ice cream, knife, paperclip, scarf, seal, stapler",
"style": "rule"
} | {
"answer": "bowling ball, bubble machine, calculator, cheese, facial cleanser, filing cabinet, hair dryer, ice cream, knife, paperclip, scarf, seal, stapler",
"index": 35260,
"level": 7.5,
"question": "Tree structure reasoning problem: You have been given a tree structure with 188 nodes. shrimp, and jacket and... |
general-reasoner | [
{
"content": "请以符号计算专家的视角，解析这道基于特殊符号定义的题目：定义 △，规则如下：\n实数域上，x △ y = x - y。\n运算优先级：** > * = / = % > + = - = △。\n括号具有最高优先级，先计算括号内的表达式。\n请计算表达式的值: 2，将计算结果写入\\boxed{}中 Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] | reasoning | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 33003,
"level": 7.5,
"question": "请以符号计算专家的视角，解析这道基于特殊符号定义的题目：定义 △，规则如下：\n实数域上，x △ y = x - y。\n运算优先级：** > * = / = % > + = - = △。\n括号具有最高优先级，先计算括号内的表达式。\n请计算表达式的值: 2，将计算结果写入\\boxed{}中",
"split": "train"
} |
general-reasoner | [
{
"content": "在这个谜题中,我们有10个人物,每个人只会说真话或只会说谎话。\n已知：在美术馆的人说在医院的人说的是假话。 在电影院的人说在图书馆的人说的是真话。 在剧院的人说张丽说的是假话。 施汉说在博物馆的人说的是真话。 冯雅在美术馆。 在酒店的人说在商场的人是个好人。 在广场的人总是很准时。 朱琳在图书馆。 许江在酒店。 周丽在商场。 在剧院的人说的是真话。 李明说许江说的是假话。 张丽在机场。 许江说在美术馆的人是个好人。 在医院的人说冯雅说的是假话。 李明在医院。 张丽怀疑邻居家的狗偷吃了他的早餐。 在商场的人说在机场的人说的是真话。 曹操在剧院。 在商场的人表示认识张伟。 在医院的人说朱琳说... | reasoning | {
"ground_truth": "否, 是, 是, 是, 是",
"style": "rule"
} | {
"answer": "否, 是, 是, 是, 是",
"index": 15125,
"level": 7.5,
"question": "在这个谜题中,我们有10个人物,每个人只会说真话或只会说谎话。\n已知：在美术馆的人说在医院的人说的是假话。 在电影院的人说在图书馆的人说的是真话。 在剧院的人说张丽说的是假话。 施汉说在博物馆的人说的是真话。 冯雅在美术馆。 在酒店的人说在商场的人是个好人。 在广场的人总是很准时。 朱琳在图书馆。 许江在酒店。 周丽在商场。 在剧院的人说的是真话。 李明说许江说的是假话。 张丽在机场。 许江说在美术馆的人是个好人。 在医院的人说冯雅说的是假话。 李明在医院。 张丽怀疑邻居家... |
math_level3-5 | [
{
"content": "In the diagram, there are more than three triangles. If each triangle has the same probability of being selected, what is the probability that a selected triangle has all or part of its interior shaded? Express your answer as a common fraction.\n\n[asy]\ndraw((0,0)--(1,0)--(0,1)--(0,0)--cycle,line... | reasoning | {
"ground_truth": "\\frac{3}{5}",
"style": "rule"
} | {
"answer": "\\frac{3}{5}",
"index": 860,
"level": 5,
"question": "In the diagram, there are more than three triangles. If each triangle has the same probability of being selected, what is the probability that a selected triangle has all or part of its interior shaded? Express your answer as a common fraction.\... |
general-reasoner | [
{
"content": "纵超、滕静、丰杰、莫凡的工作时间为工作日当地时间早上9点到下午5点，他们想在本周的某个时间一起开会。\n\n纵超 当地时间本周的日程安排如下：\n星期一：以下时间已经占用：11:05 - 11:40、11:40 - 11:45、12:20 - 12:25、12:45 - 14:05、15:15 - 15:20、15:55 - 16:35、\n星期二：以下时间已经占用：09:00 - 11:00、11:35 - 12:25、12:50 - 13:50、\n星期三：仅在以下时间有空：09:05 - 09:45、09:55 - 11:20、12:40 - 13:10、13:20 - 14:50、... | reasoning | {
"ground_truth": "15",
"style": "rule"
} | {
"answer": "15",
"index": 31300,
"level": 7.5,
"question": "纵超、滕静、丰杰、莫凡的工作时间为工作日当地时间早上9点到下午5点，他们想在本周的某个时间一起开会。\n\n纵超 当地时间本周的日程安排如下：\n星期一：以下时间已经占用：11:05 - 11:40、11:40 - 11:45、12:20 - 12:25、12:45 - 14:05、15:15 - 15:20、15:55 - 16:35、\n星期二：以下时间已经占用：09:00 - 11:00、11:35 - 12:25、12:50 - 13:50、\n星期三：仅在以下时间有空：09:05 - 0... |
math_level3-5 | [
{
"content": "Let $d_1 = a^2 + 2^a + a \\cdot 2^{(a+1)/2}$ and $d_2 = a^2 + 2^a - a \\cdot 2^{(a+1)/2}$. If $1 \\le a \\le 251$, how many integral values of $a$ are there such that $d_1 \\cdot d_2$ is a multiple of $5$? Please reason step by step, and put your final answer within \\boxed{}.",
"role": "user"... | reasoning | {
"ground_truth": "101",
"style": "rule"
} | {
"answer": "101",
"index": 2281,
"level": 5,
"question": "Let $d_1 = a^2 + 2^a + a \\cdot 2^{(a+1)/2}$ and $d_2 = a^2 + 2^a - a \\cdot 2^{(a+1)/2}$. If $1 \\le a \\le 251$, how many integral values of $a$ are there such that $d_1 \\cdot d_2$ is a multiple of $5$?",
"split": "train"
} |
math_level3-5 | [
{
"content": "Each of the nine dots in this figure is to be colored red, white or blue. No two dots connected by a segment (with no other dots between) may be the same color. How many ways are there to color the dots of this figure?\n\n[asy]\ndraw((-75,0)--(-45,0)--(-60,26)--cycle);\ndraw((0,0)--(30,0)--(15,26)... | reasoning | {
"ground_truth": "54",
"style": "rule"
} | {
"answer": "54",
"index": 6188,
"level": 5,
"question": "Each of the nine dots in this figure is to be colored red, white or blue. No two dots connected by a segment (with no other dots between) may be the same color. How many ways are there to color the dots of this figure?\n\n[asy]\ndraw((-75,0)--(-45,0)--(-... |
general-reasoner | [
{
"content": "下面是一个物品计数问题，请用清晰的思路解答。\n\n我的父亲有75个显示器。我的爷爷有56个乔纳金苹果。我的表兄弟有55个泳装。我有70个仓鼠（需要喂食）。我还有94个奔驰C级(我是这样拥有这94个的：最初我有65个，然后我又获得了15个，总共有80个，然后我又获得了14个，总共有94个)。我还有77个显卡(我是这样拥有这77个的：最初我有88个，然后我又获得了7个，总共有95个，然后我失去了3个，剩下92个，然后我失去了12个，剩下80个，然后我失去了16个，剩下64个，然后我又获得了13个，总共有77个)。我还有69个桌子(我是这样拥有这69个的：最初我有81个，然后我失去了25个，剩... | reasoning | {
"ground_truth": "1180",
"style": "rule"
} | {
"answer": "1180",
"index": 20155,
"level": 7.5,
"question": "下面是一个物品计数问题，请用清晰的思路解答。\n\n我的父亲有75个显示器。我的爷爷有56个乔纳金苹果。我的表兄弟有55个泳装。我有70个仓鼠（需要喂食）。我还有94个奔驰C级(我是这样拥有这94个的：最初我有65个，然后我又获得了15个，总共有80个，然后我又获得了14个，总共有94个)。我还有77个显卡(我是这样拥有这77个的：最初我有88个，然后我又获得了7个，总共有95个，然后我失去了3个，剩下92个，然后我失去了12个，剩下80个，然后我失去了16个，剩下64个，然后我又获得了13个... |
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