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train · 1M rows

messages listlengths 2 2	conversations listlengths 2 2
[ { "role": "user", "content": "Each country that employs international policing has a different political situation, and it is often difficult, if not impossible, to extract universally applicable lessons.\n\nTranslate to Turkish", "info": { "source": "open_orca", "reference_answer": null, ...	[ { "from": "human", "value": "Each country that employs international policing has a different political situation, and it is often difficult, if not impossible, to extract universally applicable lessons.\n\nTranslate to Turkish" }, { "from": "gpt", "value": "<think>Okay, let's tackle this transl...
[ { "role": "user", "content": "Given the Many-Worlds Interpretation of quantum mechanics, discuss the implications of quantum immortality on our notion of 'death.' How does the continuity of human experience relate to the quantum immortality principle, and what are the potential consequences of this principl...	[ { "from": "human", "value": "Given the Many-Worlds Interpretation of quantum mechanics, discuss the implications of quantum immortality on our notion of 'death.' How does the continuity of human experience relate to the quantum immortality principle, and what are the potential consequences of this principle...
[ { "role": "user", "content": "Write a python function that performs the Z-Order (Zigzag) transformation on a string. The Z-Order transformation involves rearranging the characters of a string in a zigzag pattern with a specified number of rows. The function should take a string and an integer representing t...	[ { "from": "human", "value": "Write a python function that performs the Z-Order (Zigzag) transformation on a string. The Z-Order transformation involves rearranging the characters of a string in a zigzag pattern with a specified number of rows. The function should take a string and an integer representing th...
[ { "role": "user", "content": "Among the following polynomials, the one with a degree of $3$ is:\n\nA: $3x^{2}+x-1$\n\nB: $3xy+x^{2}y-1$\n\nC: $x^{3}y^{3}+xy-1$\n\nD: $5x^{3}$", "info": { "source": "GeneralThought-Feb25", "reference_answer": "B", "test_case": null, "think_content"...	[ { "from": "human", "value": "Among the following polynomials, the one with a degree of $3$ is:\n\nA: $3x^{2}+x-1$\n\nB: $3xy+x^{2}y-1$\n\nC: $x^{3}y^{3}+xy-1$\n\nD: $5x^{3}$" }, { "from": "gpt", "value": "<think>Okay, so I need to figure out which of these polynomials has a degree of 3. Let me r...
[ { "role": "user", "content": "Example 4. Let $\\alpha, \\beta, \\gamma$ be the three interior angles of an acute triangle. Prove that: $\\sin \\alpha+\\sin \\beta+\\sin \\gamma+\\tan \\alpha$ $+\\tan \\beta+\\tan \\gamma>2 \\pi$", "info": { "source": "NuminaMath_1.5", "reference_answer": "pr...	[ { "from": "human", "value": "Example 4. Let $\\alpha, \\beta, \\gamma$ be the three interior angles of an acute triangle. Prove that: $\\sin \\alpha+\\sin \\beta+\\sin \\gamma+\\tan \\alpha$ $+\\tan \\beta+\\tan \\gamma>2 \\pi$" }, { "from": "gpt", "value": "<think>Okay, so I need to prove that ...
[ { "role": "user", "content": "Roleplay as Minori, express your passion for baking and share your latest creation with a friend.", "info": { "source": "InfinityInstruct", "reference_answer": null, "test_case": null, "think_content": null, "answer_content": null } }, ...	[ { "from": "human", "value": "Roleplay as Minori, express your passion for baking and share your latest creation with a friend." }, { "from": "gpt", "value": "<think>Okay, the user wants me to roleplay as Minori, who is passionate about baking and sharing her latest creation with a friend. Let me...
[ { "role": "user", "content": "Transform the equation $5x-6y=4$ to get $y=$.", "info": { "source": "NuminaMath_1.5", "reference_answer": "\\frac{5}{6}x-\\frac{2}{3}", "test_case": null, "think_content": null, "answer_content": null } }, { "role": "assistant", ...	[ { "from": "human", "value": "Transform the equation $5x-6y=4$ to get $y=$." }, { "from": "gpt", "value": "<think>Okay, so I need to transform the equation 5x minus 6y equals 4 into the form y equals something. Let me think. Alright, starting with the original equation: 5x - 6y = 4. The goal is t...
[ { "role": "user", "content": "### Question: Determine Presence of a Cycle in a Directed Graph\n\n#### Context\nIn graph theory, detecting cycles in a directed graph is a fundamental task that can have significant implications in various applications such as detecting deadlocks in operating systems, verifyin...	[ { "from": "human", "value": "### Question: Determine Presence of a Cycle in a Directed Graph\n\n#### Context\nIn graph theory, detecting cycles in a directed graph is a fundamental task that can have significant implications in various applications such as detecting deadlocks in operating systems, verifying...
[ { "role": "user", "content": "Explain why the smell of clay resembles that of cosmetics, and additionally, assess if the grammar and sentence structure are impeccable.", "info": { "source": "InfinityInstruct", "reference_answer": null, "test_case": null, "think_content": null, ...	[ { "from": "human", "value": "Explain why the smell of clay resembles that of cosmetics, and additionally, assess if the grammar and sentence structure are impeccable." }, { "from": "gpt", "value": "<think>Okay, so the user wants to know why the smell of clay is similar to cosmetics and also chec...
[ { "role": "user", "content": "If the complex numbers $z_{1}$ and $z_{2}$ correspond to points on the complex plane that are symmetric about the y-axis, and $z_{1}=2-i$, then the point corresponding to the complex number $\\frac{z_{1}}{z_{2}}$ in the complex plane is in the \nA: first quadrant\nB: second qua...	[ { "from": "human", "value": "If the complex numbers $z_{1}$ and $z_{2}$ correspond to points on the complex plane that are symmetric about the y-axis, and $z_{1}=2-i$, then the point corresponding to the complex number $\\frac{z_{1}}{z_{2}}$ in the complex plane is in the \nA: first quadrant\nB: second quad...
[ { "role": "user", "content": "Which of the following judgments about the sufficient condition and necessary condition is correct?\n\nA: \"$a$, $b$ are both even numbers\" is a sufficient but not necessary condition for \"$a+b$ is an even number\"\n\nB: \"$a \\gt b$\" is a necessary but not sufficient condit...	[ { "from": "human", "value": "Which of the following judgments about the sufficient condition and necessary condition is correct?\n\nA: \"$a$, $b$ are both even numbers\" is a sufficient but not necessary condition for \"$a+b$ is an even number\"\n\nB: \"$a \\gt b$\" is a necessary but not sufficient conditi...
[ { "role": "user", "content": "Given the sets $A=\\{x, y\\}$ and $B=\\{0, 1\\}$, the maximum number of mappings from set $A$ to set $B$ is ____.", "info": { "source": "Dolphin-R1", "reference_answer": "According to the definition of a mapping, each element in set $A$ must have a unique corres...	[ { "from": "human", "value": "Given the sets $A=\\{x, y\\}$ and $B=\\{0, 1\\}$, the maximum number of mappings from set $A$ to set $B$ is ____." }, { "from": "gpt", "value": "<think>\nOkay, so I need to figure out the maximum number of mappings from set A to set B. Let me start by recalling what ...
[ { "role": "user", "content": "It's a very unfortunate day for Volodya today. He got bad mark in algebra and was therefore forced to do some work in the kitchen, namely to cook borscht (traditional Russian soup). This should also improve his algebra skills.\n\nAccording to the borscht recipe it consists of n...	[ { "from": "human", "value": "It's a very unfortunate day for Volodya today. He got bad mark in algebra and was therefore forced to do some work in the kitchen, namely to cook borscht (traditional Russian soup). This should also improve his algebra skills.\n\nAccording to the borscht recipe it consists of n ...
[ { "role": "user", "content": "Write a function `find_circuit_start` that takes two lists, `gas` and `cost`, representing the amount of gas in each station and the cost of gas to travel to the next station respectively. The function should return the starting station index if a gas station circuit can be com...	[ { "from": "human", "value": "Write a function `find_circuit_start` that takes two lists, `gas` and `cost`, representing the amount of gas in each station and the cost of gas to travel to the next station respectively. The function should return the starting station index if a gas station circuit can be comp...
[ { "role": "user", "content": " Short Answer Question: Describe the traditional method of marinating and roasting the pork used in a Chola Sandwich, including the specific ingredients and cooking times involved. Additionally, explain how to assemble the sandwich using the correct type of bread and any ...	[ { "from": "human", "value": " Short Answer Question: Describe the traditional method of marinating and roasting the pork used in a Chola Sandwich, including the specific ingredients and cooking times involved. Additionally, explain how to assemble the sandwich using the correct type of bread and any o...
[ { "role": "user", "content": "def can_partition_to_target(arr, target):\n \"\"\"\n Determines if the array can be partitioned into two subsets where each subset has a sum equal to `target`.\n \n :param arr: List of integers.\n :param target: Integer, target sum for each subset.\n :return: ...	[ { "from": "human", "value": "def can_partition_to_target(arr, target):\n \"\"\"\n Determines if the array can be partitioned into two subsets where each subset has a sum equal to `target`.\n \n :param arr: List of integers.\n :param target: Integer, target sum for each subset.\n :return: B...
[ { "role": "user", "content": "Did Shumaster commit any criminal acts? Does TrendBaby have any liability related to Shumaster’s actions? Why or why not? Rely on legal principles from relevant readings to support your conclusion.", "info": { "source": "natural_reasoning", "reference_answer": n...	[ { "from": "human", "value": "Did Shumaster commit any criminal acts? Does TrendBaby have any liability related to Shumaster’s actions? Why or why not? Rely on legal principles from relevant readings to support your conclusion." }, { "from": "gpt", "value": "<think>Okay, so I need to figure out i...
[ { "role": "user", "content": "Please write the following solution using Erlang: You have `n` tasks and `m` workers. Each task has a strength requirement stored in a 0-indexed integer array `tasks`, with the `ith` task requiring `tasks[i]` strength to complete. The strength of each worker is stored in a ...	[ { "from": "human", "value": "Please write the following solution using Erlang: You have `n` tasks and `m` workers. Each task has a strength requirement stored in a 0-indexed integer array `tasks`, with the `ith` task requiring `tasks[i]` strength to complete. The strength of each worker is stored in a *...
[ { "role": "user", "content": "You are given a list of words and a dictionary of mappings where each letter of the alphabet maps to another letter, forming a simple substitution cipher. The goal is to decode the list of words using the provided mapping dictionary.\n\nWrite a function `decodeWords(words: List...	[ { "from": "human", "value": "You are given a list of words and a dictionary of mappings where each letter of the alphabet maps to another letter, forming a simple substitution cipher. The goal is to decode the list of words using the provided mapping dictionary.\n\nWrite a function `decodeWords(words: List[...
[ { "role": "user", "content": "A city is considered a millionaire city if it has more than a million residents. Which event is more likely?\n\n$$\nA=\\{\\text{a randomly chosen city resident lives in a millionaire city}\\}\n$$\n\n$$\nB=\\{\\text{a randomly chosen city is a millionaire city}\\} ?\n$$", "i...	[ { "from": "human", "value": "A city is considered a millionaire city if it has more than a million residents. Which event is more likely?\n\n$$\nA=\\{\\text{a randomly chosen city resident lives in a millionaire city}\\}\n$$\n\n$$\nB=\\{\\text{a randomly chosen city is a millionaire city}\\} ?\n$$" }, {...
[ { "role": "user", "content": "A covalent bond is the strongest of the chemical bonds.", "info": { "source": "GeneralThought-Feb25", "reference_answer": "covalent", "test_case": null, "think_content": null, "answer_content": null } }, { "role": "assistant", "...	[ { "from": "human", "value": "A covalent bond is the strongest of the chemical bonds." }, { "from": "gpt", "value": "<think>Okay, so the user says that a covalent bond is the strongest of the chemical bonds. I need to verify if that's accurate. Let me start by recalling the different types of che...
[ { "role": "user", "content": "7.136. $\\left\\{\\begin{array}{l}3^{2 \\sqrt{x}-\\sqrt{y}}=81 \\\\ \\lg \\sqrt{x y}=1+\\lg 3\\end{array}\\right.$\n\nThe system of equations is:\n\\[\n\\left\\{\\begin{array}{l}\n3^{2 \\sqrt{x}-\\sqrt{y}}=81 \\\\\n\\lg \\sqrt{x y}=1+\\lg 3\n\\end{array}\\right.\n\\]", "inf...	[ { "from": "human", "value": "7.136. $\\left\\{\\begin{array}{l}3^{2 \\sqrt{x}-\\sqrt{y}}=81 \\\\ \\lg \\sqrt{x y}=1+\\lg 3\\end{array}\\right.$\n\nThe system of equations is:\n\\[\n\\left\\{\\begin{array}{l}\n3^{2 \\sqrt{x}-\\sqrt{y}}=81 \\\\\n\\lg \\sqrt{x y}=1+\\lg 3\n\\end{array}\\right.\n\\]" }, { ...
[ { "role": "user", "content": "import heapq\n\ndef dijkstra(n: int, m: int, edges: List[Tuple[int, int, int]], s: int, t: int) -> int:\n \"\"\"\n Returns the length of the shortest path from city s to city t using Dijkstra's algorithm.\n If there is no path, returns -1.\n \n >>> dijkstra(5, 6,...	[ { "from": "human", "value": "import heapq\n\ndef dijkstra(n: int, m: int, edges: List[Tuple[int, int, int]], s: int, t: int) -> int:\n \"\"\"\n Returns the length of the shortest path from city s to city t using Dijkstra's algorithm.\n If there is no path, returns -1.\n \n >>> dijkstra(5, 6, ...
[ { "role": "user", "content": "def determine_winner(N: int, A: List[int]) -> str:\n \"\"\" Determines the winner of the game played by Alice and Bob given an array of integers.\n If N is odd, Alice wins. If N is even, Bob wins.\n >>> determine_winner(3, [1, 2, 3]) \"Alice\"\n >>> determine_winner...	[ { "from": "human", "value": "def determine_winner(N: int, A: List[int]) -> str:\n \"\"\" Determines the winner of the game played by Alice and Bob given an array of integers.\n If N is odd, Alice wins. If N is even, Bob wins.\n >>> determine_winner(3, [1, 2, 3]) \"Alice\"\n >>> determine_winner(...
[ { "role": "user", "content": "Write a program to find the coordinates of the intersection point between two routes, considering different time zones, available transportation modes, traffic conditions, and visa requirements.", "info": { "source": "InfinityInstruct", "reference_answer": null,...	[ { "from": "human", "value": "Write a program to find the coordinates of the intersection point between two routes, considering different time zones, available transportation modes, traffic conditions, and visa requirements." }, { "from": "gpt", "value": "<think>Okay, the user wants me to write a...
[ { "role": "user", "content": "Let $X$ and $Y$ be linear spaces, and let $b: X \\times Y \\to \\mathbb{R}$ be a bilinear map. For a linear operator $A: X \\to X$, define its $b$-transpose $A^T$ acting on $Y$ with domain $D(A^T) = \\{y \\in Y: \\exists y' \\in Y \\text{ s.t. } b(x, y') = b(Ax, y) \\text{ for ...	[ { "from": "human", "value": "Let $X$ and $Y$ be linear spaces, and let $b: X \\times Y \\to \\mathbb{R}$ be a bilinear map. For a linear operator $A: X \\to X$, define its $b$-transpose $A^T$ acting on $Y$ with domain $D(A^T) = \\{y \\in Y: \\exists y' \\in Y \\text{ s.t. } b(x, y') = b(Ax, y) \\text{ for a...
[ { "role": "user", "content": "Craft a compelling 1000-word article in a conversational tone that explores the multifaceted benefits of reading. Highlight its positive effects on mental health, vocabulary expansion, and empathy development. Incorporate statistical data, relevant scientific studies, and perso...	[ { "from": "human", "value": "Craft a compelling 1000-word article in a conversational tone that explores the multifaceted benefits of reading. Highlight its positive effects on mental health, vocabulary expansion, and empathy development. Incorporate statistical data, relevant scientific studies, and person...
[ { "role": "user", "content": "### Task: Square Root Calculation with Multiple Edge Cases\n\n#### Problem Statement\nYou are provided with a function to calculate the square root of a given non-negative number. However, the function needs to be enhanced to handle special cases like NaN (not a number), infini...	[ { "from": "human", "value": "### Task: Square Root Calculation with Multiple Edge Cases\n\n#### Problem Statement\nYou are provided with a function to calculate the square root of a given non-negative number. However, the function needs to be enhanced to handle special cases like NaN (not a number), infinit...
[ { "role": "user", "content": "A student is given a sample of Copper Chloride (CuCl2) and observes that it turns slightly green when a dirty spatula is brought near it. The student then prepares a Sodium extract by mixing 1 part CuCl2 with 3 parts NaCO3 and 3/4ths water, stirring it slightly with the spatula...	[ { "from": "human", "value": "A student is given a sample of Copper Chloride (CuCl2) and observes that it turns slightly green when a dirty spatula is brought near it. The student then prepares a Sodium extract by mixing 1 part CuCl2 with 3 parts NaCO3 and 3/4ths water, stirring it slightly with the spatula,...
[ { "role": "user", "content": "Let $ABCD$ be a square. Let $E, F, G$ and $H$ be the centers respectively of isosceles right-angled triangles with bases $\\overline{AB}, \\overline{BC}, \\overline{CD},$ and $\\overline{DA},$ each exterior to the square where the right angle is at the base vertex. Calculate th...	[ { "from": "human", "value": "Let $ABCD$ be a square. Let $E, F, G$ and $H$ be the centers respectively of isosceles right-angled triangles with bases $\\overline{AB}, \\overline{BC}, \\overline{CD},$ and $\\overline{DA},$ each exterior to the square where the right angle is at the base vertex. Calculate the...
[ { "role": "user", "content": "def special_sum(n: int, arr: List[int]) -> int:\n \"\"\" Calculate the special sum of an array, which is the sum of all unique elements in the array.\n\n >>> special_sum(6, [3, 3, 4, 4, 5, 6]) 18\n >>> special_sum(5, [1, 2, 3, 4, 5]) 15\n >>> special_sum(4, [2, 2, 2...	[ { "from": "human", "value": "def special_sum(n: int, arr: List[int]) -> int:\n \"\"\" Calculate the special sum of an array, which is the sum of all unique elements in the array.\n\n >>> special_sum(6, [3, 3, 4, 4, 5, 6]) 18\n >>> special_sum(5, [1, 2, 3, 4, 5]) 15\n >>> special_sum(4, [2, 2, 2,...
[ { "role": "user", "content": "def search_in_rotated_array(nums: List[int], target: int) -> int:\n \"\"\" Searches for a target value in a rotated sorted array and returns its index.\n If not found, returns -1.\n \n >>> search_in_rotated_array([4,5,6,7,0,1,2], 0)\n 4\n >>> search_in_rotated...	[ { "from": "human", "value": "def search_in_rotated_array(nums: List[int], target: int) -> int:\n \"\"\" Searches for a target value in a rotated sorted array and returns its index.\n If not found, returns -1.\n \n >>> search_in_rotated_array([4,5,6,7,0,1,2], 0)\n 4\n >>> search_in_rotated_...
[ { "role": "user", "content": "Let $A_1$ be a rank-one matrix. Using the property of rank and matrix multiplication, and Sylvester rank inequality, prove that $U^TA_1V$ is a rank-one matrix, where $U$ and $V$ are unitary $n\\times n$ matrices.", "info": { "source": "natural_reasoning", "refer...	[ { "from": "human", "value": "Let $A_1$ be a rank-one matrix. Using the property of rank and matrix multiplication, and Sylvester rank inequality, prove that $U^TA_1V$ is a rank-one matrix, where $U$ and $V$ are unitary $n\\times n$ matrices." }, { "from": "gpt", "value": "<think>Okay, so I need ...
[ { "role": "user", "content": "Given a scenario where you need to estimate the value of π (pi) using a Monte-Carlo simulation, how would you determine the estimated value of π by generating a specified number of random points within a unit square and counting how many fall within a unit circle inscribed in t...	[ { "from": "human", "value": "Given a scenario where you need to estimate the value of π (pi) using a Monte-Carlo simulation, how would you determine the estimated value of π by generating a specified number of random points within a unit square and counting how many fall within a unit circle inscribed in th...
[ { "role": "user", "content": "What is the theoretical explanation for the incredibly high density of black holes, and how do the principles of general relativity and quantum mechanics contribute to our understanding of this phenomenon?", "info": { "source": "natural_reasoning", "reference_an...	[ { "from": "human", "value": "What is the theoretical explanation for the incredibly high density of black holes, and how do the principles of general relativity and quantum mechanics contribute to our understanding of this phenomenon?" }, { "from": "gpt", "value": "<think>Okay, let's try to tack...
[ { "role": "user", "content": "We have an integer called 'number'. We need to find out if 'number'' is a palindrome number.\n\nA palindrome number is a number that reads the same backward as forward. For example, 121, 131, 484 are palindrome numbers.\n\nHere's what the code should do:\n\n1. Define a function...	[ { "from": "human", "value": "We have an integer called 'number'. We need to find out if 'number'' is a palindrome number.\n\nA palindrome number is a number that reads the same backward as forward. For example, 121, 131, 484 are palindrome numbers.\n\nHere's what the code should do:\n\n1. Define a function ...
[ { "role": "user", "content": "Design an algorithm based on a given dataset. The given dataset contains 10 different variables across 50 observations.", "info": { "source": "InfinityInstruct", "reference_answer": null, "test_case": null, "think_content": null, "answer_conten...	[ { "from": "human", "value": "Design an algorithm based on a given dataset. The given dataset contains 10 different variables across 50 observations." }, { "from": "gpt", "value": "<think>Okay, let's see. The user wants me to design an algorithm based on a dataset with 10 variables and 50 observa...
[ { "role": "user", "content": "<\|Analysis Begin\|>\n\n### Algorithm Analysis\n\n#### Core Identification\n* Algorithm/Data Structure: \nThis is an algorithm for identifying numbers with a special property within a given range. It could be categorized under number theory.\n* Complexity: \n - **Time...	[ { "from": "human", "value": "<\|Analysis Begin\|>\n\n### Algorithm Analysis\n\n#### Core Identification\n* Algorithm/Data Structure: \nThis is an algorithm for identifying numbers with a special property within a given range. It could be categorized under number theory.\n* Complexity: \n - **Time ...
[ { "role": "user", "content": "Explain how the relevance of electric cars to urban air pollution is addressed in this statement.", "info": { "source": "InfinityInstruct", "reference_answer": null, "test_case": null, "think_content": null, "answer_content": null } }, ...	[ { "from": "human", "value": "Explain how the relevance of electric cars to urban air pollution is addressed in this statement." }, { "from": "gpt", "value": "<think>Okay, so I need to figure out how the relevance of electric cars to urban air pollution is addressed in the given statement. Wait, ...
[ { "role": "user", "content": "What are the potential consequences of a business sticking to its duty, laws, and rules, rather than basing its decisions on consequences, in the context of the Sarbanes-Oxley Act? Provide a detailed analysis of the potential benefits and drawbacks of this approach, using at le...	[ { "from": "human", "value": "What are the potential consequences of a business sticking to its duty, laws, and rules, rather than basing its decisions on consequences, in the context of the Sarbanes-Oxley Act? Provide a detailed analysis of the potential benefits and drawbacks of this approach, using at lea...