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1 value
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reward_model
dict
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dict
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "integer", "index": 66, "split": "train", "text": "# Rational-representation Group\n\n## Contents\n\n- 1 Definition\n - 1.1 Equivalence of Definitions\n- 2 Examples\n- 3 Facts\n- 4 Relation with Other Properties\n - 4.1 Weaker Properties\n\n**BEWARE!** This term is nonstandard and is being us...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "categorical", "index": 67, "split": "train", "text": "\nTo: Chris G. Demetriou <>\nFrom: Robby Griffin <>\nList: netbsd-bugs\nDate: 11/14/1997 19:40:38\n>> \t64-bit assignment statements tend to cause bus errors if misaligned.\n>> Other OS's simply report an alignment error, generate a coupl...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "categorical", "index": 67, "split": "train", "text": "\nTo: Chris G. Demetriou <>\nFrom: Robby Griffin <>\nList: netbsd-bugs\nDate: 11/14/1997 19:40:38\n>> \t64-bit assignment statements tend to cause bus errors if misaligned.\n>> Other OS's simply report an alignment error, generate a coupl...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "categorical", "index": 67, "split": "train", "text": "\nTo: Chris G. Demetriou <>\nFrom: Robby Griffin <>\nList: netbsd-bugs\nDate: 11/14/1997 19:40:38\n>> \t64-bit assignment statements tend to cause bus errors if misaligned.\n>> Other OS's simply report an alignment error, generate a coupl...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "categorical", "index": 68, "split": "train", "text": "Paul Davidson: What Makes Economists So Sure of Themselves, Anyway?\n\nBy Paul Davidson, America’s foremost post-Keynesian economist. Davidson is currently the Holly Professor of Excellence, Emeritus at the University of Tennessee in Knoxvi...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "categorical", "index": 68, "split": "train", "text": "Paul Davidson: What Makes Economists So Sure of Themselves, Anyway?\n\nBy Paul Davidson, America’s foremost post-Keynesian economist. Davidson is currently the Holly Professor of Excellence, Emeritus at the University of Tennessee in Knoxvi...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "categorical", "index": 68, "split": "train", "text": "Paul Davidson: What Makes Economists So Sure of Themselves, Anyway?\n\nBy Paul Davidson, America’s foremost post-Keynesian economist. Davidson is currently the Holly Professor of Excellence, Emeritus at the University of Tennessee in Knoxvi...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "categorical", "index": 69, "split": "train", "text": "Take the 2-minute tour ×\n\nPell equations can be solved using continued fractions. I have heard that some elliptic curves can be \"solved\" using continued fractions. Is this true?\n\nWhich Diophantine equations other than Pell equations c...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "categorical", "index": 69, "split": "train", "text": "Take the 2-minute tour ×\n\nPell equations can be solved using continued fractions. I have heard that some elliptic curves can be \"solved\" using continued fractions. Is this true?\n\nWhich Diophantine equations other than Pell equations c...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "categorical", "index": 69, "split": "train", "text": "Take the 2-minute tour ×\n\nPell equations can be solved using continued fractions. I have heard that some elliptic curves can be \"solved\" using continued fractions. Is this true?\n\nWhich Diophantine equations other than Pell equations c...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "integer", "index": 70, "split": "train", "text": "# Precalculus: Introduction to Limits\n\n**By:** Ann Morris \n**Primary Subject:** Math \n**Grade Level:** 11-12\n\n## Objective:\nBy the end of this lesson, the student will be able to compute a basic limit of a function using limit notation...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "integer", "index": 70, "split": "train", "text": "# Precalculus: Introduction to Limits\n\n**By:** Ann Morris \n**Primary Subject:** Math \n**Grade Level:** 11-12\n\n## Objective:\nBy the end of this lesson, the student will be able to compute a basic limit of a function using limit notation...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "integer", "index": 70, "split": "train", "text": "# Precalculus: Introduction to Limits\n\n**By:** Ann Morris \n**Primary Subject:** Math \n**Grade Level:** 11-12\n\n## Objective:\nBy the end of this lesson, the student will be able to compute a basic limit of a function using limit notation...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "categorical", "index": 71, "split": "train", "text": "Take the 2-minute tour ×\n\nI want to start out by making this clear: I'm NOT looking for the modern proofs and rigorous statements of things.\n\nWhat I am looking for are references for classical enumerative geometry, back before Hilbert's...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "categorical", "index": 71, "split": "train", "text": "Take the 2-minute tour ×\n\nI want to start out by making this clear: I'm NOT looking for the modern proofs and rigorous statements of things.\n\nWhat I am looking for are references for classical enumerative geometry, back before Hilbert's...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "categorical", "index": 71, "split": "train", "text": "Take the 2-minute tour ×\n\nI want to start out by making this clear: I'm NOT looking for the modern proofs and rigorous statements of things.\n\nWhat I am looking for are references for classical enumerative geometry, back before Hilbert's...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "float", "index": 72, "split": "train", "text": "# Optimal Solution to the Knapsack Problem with Linear Programming in R\n\n**Posted on 7. February 2021 by Fabian Leuthold**\n\nIn a previous post, I demonstrated how to develop a heuristic to solve the knapsack problem. We managed to solve the p...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "integer", "index": 72, "split": "train", "text": "# Optimal Solution to the Knapsack Problem with Linear Programming in R\n\n**Posted on 7. February 2021 by Fabian Leuthold**\n\nIn a previous post, I demonstrated how to develop a heuristic to solve the knapsack problem. We managed to solve the...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "integer", "index": 72, "split": "train", "text": "# Optimal Solution to the Knapsack Problem with Linear Programming in R\n\n**Posted on 7. February 2021 by Fabian Leuthold**\n\nIn a previous post, I demonstrated how to develop a heuristic to solve the knapsack problem. We managed to solve the...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "categorical", "index": 73, "split": "train", "text": "Take the 2-minute tour ×\n\nIf I understand correctly, there was a huge birth of programming languages during the early decades of computing, but then things have stabilized.\n\nBasically, why are many universities and industries still usin...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "categorical", "index": 73, "split": "train", "text": "Take the 2-minute tour ×\n\nIf I understand correctly, there was a huge birth of programming languages during the early decades of computing, but then things have stabilized.\n\nBasically, why are many universities and industries still usin...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "categorical", "index": 73, "split": "train", "text": "Take the 2-minute tour ×\n\nIf I understand correctly, there was a huge birth of programming languages during the early decades of computing, but then things have stabilized.\n\nBasically, why are many universities and industries still usin...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "categorical", "index": 74, "split": "train", "text": "web analytics\n\nDrilling Square Holes with a Reuleaux Triangle\n\nWritten by mike on October 3rd, 2011\n\nCircular motion can be converted into a four-sided square using the Reuleaux triangle. The process relies on the property of Reuleaux...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "categorical", "index": 74, "split": "train", "text": "web analytics\n\nDrilling Square Holes with a Reuleaux Triangle\n\nWritten by mike on October 3rd, 2011\n\nCircular motion can be converted into a four-sided square using the Reuleaux triangle. The process relies on the property of Reuleaux...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "categorical", "index": 74, "split": "train", "text": "web analytics\n\nDrilling Square Holes with a Reuleaux Triangle\n\nWritten by mike on October 3rd, 2011\n\nCircular motion can be converted into a four-sided square using the Reuleaux triangle. The process relies on the property of Reuleaux...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "categorical", "index": 75, "split": "train", "text": "Tell me more ×\n\nFirst question here, so please go easy:\n\nI have a debian linux 5.0 server with two public interfaces. I would like to route outbound traffic from one instance of an application via one interface and the second instance t...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "categorical", "index": 75, "split": "train", "text": "Tell me more ×\n\nFirst question here, so please go easy:\n\nI have a debian linux 5.0 server with two public interfaces. I would like to route outbound traffic from one instance of an application via one interface and the second instance t...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "categorical", "index": 75, "split": "train", "text": "Tell me more ×\n\nFirst question here, so please go easy:\n\nI have a debian linux 5.0 server with two public interfaces. I would like to route outbound traffic from one instance of an application via one interface and the second instance t...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "integer", "index": 76, "split": "train", "text": "### MythBusters - Testing Bullet Proof and Bullet Speeds\n\n**By rallain on November 7, 2008**\n\nOn MythBusters, Adam and Jamie tested the bullet-proofness of various objects. Notably, they examined an iPod. They referenced a report of a soldi...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "integer", "index": 76, "split": "train", "text": "### MythBusters - Testing Bullet Proof and Bullet Speeds\n\n**By rallain on November 7, 2008**\n\nOn MythBusters, Adam and Jamie tested the bullet-proofness of various objects. Notably, they examined an iPod. They referenced a report of a soldi...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "integer", "index": 76, "split": "train", "text": "### MythBusters - Testing Bullet Proof and Bullet Speeds\n\n**By rallain on November 7, 2008**\n\nOn MythBusters, Adam and Jamie tested the bullet-proofness of various objects. Notably, they examined an iPod. They referenced a report of a soldi...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "categorical", "index": 77, "split": "train", "text": "Let's Make Robots!\n\nJuice Box Robot Plan, Needs review\n\n***UPDATE MARCH 11: After reading the comments here I have made a couple of changes to my plans. I have replaced the PICAXE 18 with the PICAXE 28 and appropriate board. I have swit...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "categorical", "index": 77, "split": "train", "text": "Let's Make Robots!\n\nJuice Box Robot Plan, Needs review\n\n***UPDATE MARCH 11: After reading the comments here I have made a couple of changes to my plans. I have replaced the PICAXE 18 with the PICAXE 28 and appropriate board. I have swit...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "categorical", "index": 77, "split": "train", "text": "Let's Make Robots!\n\nJuice Box Robot Plan, Needs review\n\n***UPDATE MARCH 11: After reading the comments here I have made a couple of changes to my plans. I have replaced the PICAXE 18 with the PICAXE 28 and appropriate board. I have swit...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "integer", "index": 78, "split": "train", "text": "# Linear Programming Piecewise Linear Objective\n\n## Problem Statement\n\nI am fairly new to linear programming/optimization and am currently working on implementing a linear program that is stated as follows:\n\nMaximize $\\sum_{i=1}^{k}{p(\\...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "integer", "index": 78, "split": "train", "text": "# Linear Programming Piecewise Linear Objective\n\n## Problem Statement\n\nI am fairly new to linear programming/optimization and am currently working on implementing a linear program that is stated as follows:\n\nMaximize $\\sum_{i=1}^{k}{p(\\...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "integer", "index": 78, "split": "train", "text": "# Linear Programming Piecewise Linear Objective\n\n## Problem Statement\n\nI am fairly new to linear programming/optimization and am currently working on implementing a linear program that is stated as follows:\n\nMaximize $\\sum_{i=1}^{k}{p(\\...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "integer", "index": 79, "split": "train", "text": "# Set Theory\n\nSet theory was developed by George Cantor between 1845 and 1918. Today, it is used in almost every branch of mathematics and serves as a fundamental part of present-day mathematics.\n\n## Overview\n\nIn set theory, we will learn...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "integer", "index": 79, "split": "train", "text": "# Set Theory\n\nSet theory was developed by George Cantor between 1845 and 1918. Today, it is used in almost every branch of mathematics and serves as a fundamental part of present-day mathematics.\n\n## Overview\n\nIn set theory, we will learn...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "integer", "index": 79, "split": "train", "text": "# Set Theory\n\nSet theory was developed by George Cantor between 1845 and 1918. Today, it is used in almost every branch of mathematics and serves as a fundamental part of present-day mathematics.\n\n## Overview\n\nIn set theory, we will learn...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "categorical", "index": 80, "split": "train", "text": "Take the 2-minute tour ×\n\nPossible Duplicate:\nSizeof array passed as parameter\n\nI am being stupid with this sizeof operator in c++, do you have any idea why it is 4 and 12 ?\n\n void function (int arg[]) {\n cout<<sizeof(arg)<<e...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "categorical", "index": 80, "split": "train", "text": "Take the 2-minute tour ×\n\nPossible Duplicate:\nSizeof array passed as parameter\n\nI am being stupid with this sizeof operator in c++, do you have any idea why it is 4 and 12 ?\n\n void function (int arg[]) {\n cout<<sizeof(arg)<<e...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "categorical", "index": 80, "split": "train", "text": "Take the 2-minute tour ×\n\nPossible Duplicate:\nSizeof array passed as parameter\n\nI am being stupid with this sizeof operator in c++, do you have any idea why it is 4 and 12 ?\n\n void function (int arg[]) {\n cout<<sizeof(arg)<<e...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "integer", "index": 81, "split": "train", "text": "## Basic Algebra\n\n### Introduction to Basic Algebra\n\nBasic algebra is a fundamental branch of mathematics that deals with symbols and the rules for manipulating these symbols. It is a powerful tool for solving equations and understanding re...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "float", "index": 81, "split": "train", "text": "## Basic Algebra\n\n### Introduction to Basic Algebra\n\nBasic algebra is a fundamental branch of mathematics that deals with symbols and the rules for manipulating these symbols. It is a powerful tool for solving equations and understanding rela...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "integer", "index": 81, "split": "train", "text": "## Basic Algebra\n\n### Introduction to Basic Algebra\n\nBasic algebra is a fundamental branch of mathematics that deals with symbols and the rules for manipulating these symbols. It is a powerful tool for solving equations and understanding re...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "categorical", "index": 82, "split": "train", "text": "Written by Solomon D. Erulkar\n\nnervous system\n\nArticle Free Pass\nWritten by Solomon D. Erulkar\n\nThe sequence of sodium activation–sodium inactivation–potassium activation creates a nerve impulse that is brief in duration, lasting onl...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "categorical", "index": 82, "split": "train", "text": "Written by Solomon D. Erulkar\n\nnervous system\n\nArticle Free Pass\nWritten by Solomon D. Erulkar\n\nThe sequence of sodium activation–sodium inactivation–potassium activation creates a nerve impulse that is brief in duration, lasting onl...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "categorical", "index": 82, "split": "train", "text": "Written by Solomon D. Erulkar\n\nnervous system\n\nArticle Free Pass\nWritten by Solomon D. Erulkar\n\nThe sequence of sodium activation–sodium inactivation–potassium activation creates a nerve impulse that is brief in duration, lasting onl...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "categorical", "index": 83, "split": "train", "text": "European Space Agency\n\nTowards Reusable Launchers - A Widening Perspective\n\nH. Pfeffer\n\nFuture Launchers Office, Directorate of Launchers, ESA, Paris\n\nOne of the prime tasks of the Agency, identified in the Report of ESA's Long-Term...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "categorical", "index": 83, "split": "train", "text": "European Space Agency\n\nTowards Reusable Launchers - A Widening Perspective\n\nH. Pfeffer\n\nFuture Launchers Office, Directorate of Launchers, ESA, Paris\n\nOne of the prime tasks of the Agency, identified in the Report of ESA's Long-Term...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "categorical", "index": 83, "split": "train", "text": "European Space Agency\n\nTowards Reusable Launchers - A Widening Perspective\n\nH. Pfeffer\n\nFuture Launchers Office, Directorate of Launchers, ESA, Paris\n\nOne of the prime tasks of the Agency, identified in the Report of ESA's Long-Term...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "categorical", "index": 84, "split": "train", "text": "From Wikipedia, the free encyclopedia\nJump to: navigation, search\nFor the business-related fill rate, see Service rate.\n\nThe term fillrate usually refers to the number of pixels a video card can render and write to video memory in a sec...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "categorical", "index": 84, "split": "train", "text": "From Wikipedia, the free encyclopedia\nJump to: navigation, search\nFor the business-related fill rate, see Service rate.\n\nThe term fillrate usually refers to the number of pixels a video card can render and write to video memory in a sec...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "categorical", "index": 84, "split": "train", "text": "From Wikipedia, the free encyclopedia\nJump to: navigation, search\nFor the business-related fill rate, see Service rate.\n\nThe term fillrate usually refers to the number of pixels a video card can render and write to video memory in a sec...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "integer", "index": 85, "split": "train", "text": "# Math Help Forum\n\n## Discrete Math\n### Combinatorics and Coins\n\n#### Posts\n\n1. **April 8th, 2012, 02:09 PM #1** \n **User:** mathquest \n **Status:** Newbie \n **Joined:** Apr 2012 \n **From:** Greece \n **Posts:** 8 \n\...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "integer", "index": 85, "split": "train", "text": "# Math Help Forum\n\n## Discrete Math\n### Combinatorics and Coins\n\n#### Posts\n\n1. **April 8th, 2012, 02:09 PM #1** \n **User:** mathquest \n **Status:** Newbie \n **Joined:** Apr 2012 \n **From:** Greece \n **Posts:** 8 \n\...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "integer", "index": 85, "split": "train", "text": "# Math Help Forum\n\n## Discrete Math\n### Combinatorics and Coins\n\n#### Posts\n\n1. **April 8th, 2012, 02:09 PM #1** \n **User:** mathquest \n **Status:** Newbie \n **Joined:** Apr 2012 \n **From:** Greece \n **Posts:** 8 \n\...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "integer", "index": 86, "split": "train", "text": "# Show that the equation \\( \\sec \\theta + \\csc \\theta = c \\) has two roots\n\n**Problem Statement:**\n\nShow that the equation \\( \\sec \\theta + \\csc \\theta = c \\) has two roots between 0 and \\( 2\\pi \\) if \\( 2 < c^2 < 8 \\).\n\n...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "integer", "index": 86, "split": "train", "text": "# Show that the equation \\( \\sec \\theta + \\csc \\theta = c \\) has two roots\n\n**Problem Statement:**\n\nShow that the equation \\( \\sec \\theta + \\csc \\theta = c \\) has two roots between 0 and \\( 2\\pi \\) if \\( 2 < c^2 < 8 \\).\n\n...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "integer", "index": 86, "split": "train", "text": "# Show that the equation \\( \\sec \\theta + \\csc \\theta = c \\) has two roots\n\n**Problem Statement:**\n\nShow that the equation \\( \\sec \\theta + \\csc \\theta = c \\) has two roots between 0 and \\( 2\\pi \\) if \\( 2 < c^2 < 8 \\).\n\n...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "float", "index": 87, "split": "train", "text": "# The Fundamentals of Calculus\n\n## Introduction to Calculus\n\nCalculus is a branch of mathematics that studies changes and motion. It is divided into two main areas: differential calculus and integral calculus. Differential calculus concerns t...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "integer", "index": 87, "split": "train", "text": "# The Fundamentals of Calculus\n\n## Introduction to Calculus\n\nCalculus is a branch of mathematics that studies changes and motion. It is divided into two main areas: differential calculus and integral calculus. Differential calculus concerns...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "integer", "index": 87, "split": "train", "text": "# The Fundamentals of Calculus\n\n## Introduction to Calculus\n\nCalculus is a branch of mathematics that studies changes and motion. It is divided into two main areas: differential calculus and integral calculus. Differential calculus concerns...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "float", "index": 88, "split": "train", "text": "# The Fundamental Theorems of Calculus\n\nThe Fundamental Theorems of Calculus establish a connection between differentiation and integration, two of the principal operations in calculus. They serve as a bridge between the concept of the derivati...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "integer", "index": 88, "split": "train", "text": "# The Fundamental Theorems of Calculus\n\nThe Fundamental Theorems of Calculus establish a connection between differentiation and integration, two of the principal operations in calculus. They serve as a bridge between the concept of the deriva...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "integer", "index": 88, "split": "train", "text": "# The Fundamental Theorems of Calculus\n\nThe Fundamental Theorems of Calculus establish a connection between differentiation and integration, two of the principal operations in calculus. They serve as a bridge between the concept of the deriva...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "float", "index": 89, "split": "train", "text": "# OEIS\n\n## A054765\n\n$a(n+2) = (2n+3) \\cdot a(n+1) + (n+1)^2 \\cdot a(n)$, $a(0) = 0$, $a(1) = 1$\n\nThe sequence is as follows: $0, 1, 3, 19, 160, 1744, 23184, 364176, 6598656, 135484416, 3108695040, 78831037440, 2189265960960, 6608331841536...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "float", "index": 89, "split": "train", "text": "# OEIS\n\n## A054765\n\n$a(n+2) = (2n+3) \\cdot a(n+1) + (n+1)^2 \\cdot a(n)$, $a(0) = 0$, $a(1) = 1$\n\nThe sequence is as follows: $0, 1, 3, 19, 160, 1744, 23184, 364176, 6598656, 135484416, 3108695040, 78831037440, 2189265960960, 6608331841536...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "integer", "index": 89, "split": "train", "text": "# OEIS\n\n## A054765\n\n$a(n+2) = (2n+3) \\cdot a(n+1) + (n+1)^2 \\cdot a(n)$, $a(0) = 0$, $a(1) = 1$\n\nThe sequence is as follows: $0, 1, 3, 19, 160, 1744, 23184, 364176, 6598656, 135484416, 3108695040, 78831037440, 2189265960960, 66083318415...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "categorical", "index": 90, "split": "train", "text": "Editor's note: This is Part 1 in a two-part series. See Rethinking Central Utility Plants, Part 2\n\nTimes have changed and so have the buildings in which we live, work, and teach. They have become more energy-efficient because of better fa...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "categorical", "index": 90, "split": "train", "text": "Editor's note: This is Part 1 in a two-part series. See Rethinking Central Utility Plants, Part 2\n\nTimes have changed and so have the buildings in which we live, work, and teach. They have become more energy-efficient because of better fa...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "categorical", "index": 90, "split": "train", "text": "Editor's note: This is Part 1 in a two-part series. See Rethinking Central Utility Plants, Part 2\n\nTimes have changed and so have the buildings in which we live, work, and teach. They have become more energy-efficient because of better fa...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "categorical", "index": 91, "split": "train", "text": "Take the 2-minute tour ×\n\nI've recently noticed something interesting when looking at Python 3.3 grammar specification:\n\nfuncdef: 'def' NAME parameters ['->' test] ':' suite\n\nThe optional 'arrow' block was absent in Python 2 and I cou...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "categorical", "index": 91, "split": "train", "text": "Take the 2-minute tour ×\n\nI've recently noticed something interesting when looking at Python 3.3 grammar specification:\n\nfuncdef: 'def' NAME parameters ['->' test] ':' suite\n\nThe optional 'arrow' block was absent in Python 2 and I cou...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "categorical", "index": 91, "split": "train", "text": "Take the 2-minute tour ×\n\nI've recently noticed something interesting when looking at Python 3.3 grammar specification:\n\nfuncdef: 'def' NAME parameters ['->' test] ':' suite\n\nThe optional 'arrow' block was absent in Python 2 and I cou...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "integer", "index": 92, "split": "train", "text": "# Linear Equations\n\n## Quick Definition:\nAn equation that forms a straight line on a graph.\n\nMore precisely, a linear equation is one that is dependent only on constants and a variable raised to the first power. For example, \\( y = 6x + 2...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "integer", "index": 92, "split": "train", "text": "# Linear Equations\n\n## Quick Definition:\nAn equation that forms a straight line on a graph.\n\nMore precisely, a linear equation is one that is dependent only on constants and a variable raised to the first power. For example, \\( y = 6x + 2...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "integer", "index": 92, "split": "train", "text": "# Linear Equations\n\n## Quick Definition:\nAn equation that forms a straight line on a graph.\n\nMore precisely, a linear equation is one that is dependent only on constants and a variable raised to the first power. For example, \\( y = 6x + 2...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "categorical", "index": 93, "split": "train", "text": "\n\nOxygen Radicals & Autism\n\nOverloaded?: Oxygen Radicals & Autism\n\nDecember 13, 2004\n\nPart 2\n\nOxygen radicals damage the brain and nervous system\n\nAutistic children's inability to combat oxidative stress can lead to many health ...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "categorical", "index": 93, "split": "train", "text": "\n\nOxygen Radicals & Autism\n\nOverloaded?: Oxygen Radicals & Autism\n\nDecember 13, 2004\n\nPart 2\n\nOxygen radicals damage the brain and nervous system\n\nAutistic children's inability to combat oxidative stress can lead to many health ...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "categorical", "index": 93, "split": "train", "text": "\n\nOxygen Radicals & Autism\n\nOverloaded?: Oxygen Radicals & Autism\n\nDecember 13, 2004\n\nPart 2\n\nOxygen radicals damage the brain and nervous system\n\nAutistic children's inability to combat oxidative stress can lead to many health ...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "float", "index": 94, "split": "train", "text": "# The Laws of Biot-Savart & Ampere\n\n## Overview of Lecture\n\n### Fundamental Laws for Calculating Magnetic Field\n\n#### Biot-Savart Law\nThe Biot-Savart Law is a fundamental equation that describes the magnetic field generated by a steady ele...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "integer", "index": 94, "split": "train", "text": "# The Laws of Biot-Savart & Ampere\n\n## Overview of Lecture\n\n### Fundamental Laws for Calculating Magnetic Field\n\n#### Biot-Savart Law\nThe Biot-Savart Law is a fundamental equation that describes the magnetic field generated by a steady e...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "integer", "index": 94, "split": "train", "text": "# The Laws of Biot-Savart & Ampere\n\n## Overview of Lecture\n\n### Fundamental Laws for Calculating Magnetic Field\n\n#### Biot-Savart Law\nThe Biot-Savart Law is a fundamental equation that describes the magnetic field generated by a steady e...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "categorical", "index": 95, "split": "train", "text": "Take the 2-minute tour ×\n\nIn brief my question is if you have a tcp server that will only ever have one active connection can you just create one server side data socket. In all the tutorials, I see that a new socket is created and I don'...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "categorical", "index": 95, "split": "train", "text": "Take the 2-minute tour ×\n\nIn brief my question is if you have a tcp server that will only ever have one active connection can you just create one server side data socket. In all the tutorials, I see that a new socket is created and I don'...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "categorical", "index": 95, "split": "train", "text": "Take the 2-minute tour ×\n\nIn brief my question is if you have a tcp server that will only ever have one active connection can you just create one server side data socket. In all the tutorials, I see that a new socket is created and I don'...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "integer", "index": 96, "split": "train", "text": "# Beginning Algebra Videos\n\n## Marvin's Underground Lectures\n\nIn this series, we delve into key concepts of algebra to provide a solid foundation for further study. The content is structured to enhance understanding through clear explanatio...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "integer", "index": 96, "split": "train", "text": "# Beginning Algebra Videos\n\n## Marvin's Underground Lectures\n\nIn this series, we delve into key concepts of algebra to provide a solid foundation for further study. The content is structured to enhance understanding through clear explanatio...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "integer", "index": 96, "split": "train", "text": "# Beginning Algebra Videos\n\n## Marvin's Underground Lectures\n\nIn this series, we delve into key concepts of algebra to provide a solid foundation for further study. The content is structured to enhance understanding through clear explanatio...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "categorical", "index": 97, "split": "train", "text": "Take the 2-minute tour ×\n\nGiven is a locally finite countable connected poset which satisfies further the following properties:\n\n 1. Let $C$ be any maximal chain ( i.e. inextendible chain) and $A$ be any antichain. Then $A$ is covered ...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "categorical", "index": 97, "split": "train", "text": "Take the 2-minute tour ×\n\nGiven is a locally finite countable connected poset which satisfies further the following properties:\n\n 1. Let $C$ be any maximal chain ( i.e. inextendible chain) and $A$ be any antichain. Then $A$ is covered ...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "categorical", "index": 97, "split": "train", "text": "Take the 2-minute tour ×\n\nGiven is a locally finite countable connected poset which satisfies further the following properties:\n\n 1. Let $C$ be any maximal chain ( i.e. inextendible chain) and $A$ be any antichain. Then $A$ is covered ...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "integer", "index": 98, "split": "train", "text": "# Harmonic Series is Divergent\n\n## Theorem\nThe harmonic series:\n\n$$\\displaystyle \\sum_{n = 1}^\\infty \\frac{1}{n}$$\n\ndiverges.\n\n## Proof 1\nThe harmonic series can be expressed as:\n\n$$\\displaystyle \\sum_{n = 1}^\\infty \\frac{1}...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "float", "index": 98, "split": "train", "text": "# Harmonic Series is Divergent\n\n## Theorem\nThe harmonic series:\n\n$$\\displaystyle \\sum_{n = 1}^\\infty \\frac{1}{n}$$\n\ndiverges.\n\n## Proof 1\nThe harmonic series can be expressed as:\n\n$$\\displaystyle \\sum_{n = 1}^\\infty \\frac{1}{n...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
math
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "integer", "index": 98, "split": "train", "text": "# Harmonic Series is Divergent\n\n## Theorem\nThe harmonic series:\n\n$$\\displaystyle \\sum_{n = 1}^\\infty \\frac{1}{n}$$\n\ndiverges.\n\n## Proof 1\nThe harmonic series can be expressed as:\n\n$$\\displaystyle \\sum_{n = 1}^\\infty \\frac{1}...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 1, "style": "rule" }
{ "answer_type": "categorical", "index": 99, "split": "train", "text": "Take the 2-minute tour ×\n\nI am currently in the middle of implementing an A* pathfinding for enemies. In order to implement the actual A* logic, I need a navigation mesh for my map.\n\nI am working on a 2D top down rpg map. The world is s...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 2, "style": "rule" }
{ "answer_type": "categorical", "index": 99, "split": "train", "text": "Take the 2-minute tour ×\n\nI am currently in the middle of implementing an A* pathfinding for enemies. In order to implement the actual A* logic, I need a navigation mesh for my map.\n\nI am working on a 2D top down rpg map. The world is s...
questioner_given_difficulty_id
[ { "content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl...
general
{ "ground_truth": 3, "style": "rule" }
{ "answer_type": "categorical", "index": 99, "split": "train", "text": "Take the 2-minute tour ×\n\nI am currently in the middle of implementing an A* pathfinding for enemies. In order to implement the actual A* logic, I need a navigation mesh for my map.\n\nI am working on a 2D top down rpg map. The world is s...