data_source stringclasses 1
value | prompt listlengths 1 1 | ability stringclasses 2
values | reward_model dict | extra_info 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": 19966,
"split": "train",
"text": "# Number of Possible Results in an Election with One Candidate Getting More Than 50% of the Votes\n\n## Question\n\nI have been trying to solve a question in combinatorics which is as follows:\n\nHow many possible results are there for an el... |
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": 19967,
"split": "train",
"text": "# MATRICULATION EXAMINATION\n## Sample Question Set (3)\n### MATHEMATICS - Time allowed: 3 hours\nWrite your answers in the answer booklet.\n\n#### SECTION (A)\n**Answer ALL questions.**\n\n1. **(a)** Let $\\displaystyle f: \\mathbb{R} \\set... |
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": 19967,
"split": "train",
"text": "# MATRICULATION EXAMINATION\n## Sample Question Set (3)\n### MATHEMATICS - Time allowed: 3 hours\nWrite your answers in the answer booklet.\n\n#### SECTION (A)\n**Answer ALL questions.**\n\n1. **(a)** Let $\\displaystyle f: \\mathbb{R} \\set... |
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": 19967,
"split": "train",
"text": "# MATRICULATION EXAMINATION\n## Sample Question Set (3)\n### MATHEMATICS - Time allowed: 3 hours\nWrite your answers in the answer booklet.\n\n#### SECTION (A)\n**Answer ALL questions.**\n\n1. **(a)** Let $\\displaystyle f: \\mathbb{R} \\set... |
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": 19968,
"split": "train",
"text": "# Operations with Fractions Unit Plan – Year 5 and Year 6\n\n## Overview\n\n### Objectives\n\n- To identify and explore common unit fractions.\n- To identify and explore equivalent fractions.\n- To reduce fractions to their lowest terms.\n- To... |
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": 19968,
"split": "train",
"text": "# Operations with Fractions Unit Plan – Year 5 and Year 6\n\n## Overview\n\n### Objectives\n\n- To identify and explore common unit fractions.\n- To identify and explore equivalent fractions.\n- To reduce fractions to their lowest terms.\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": 19968,
"split": "train",
"text": "# Operations with Fractions Unit Plan – Year 5 and Year 6\n\n## Overview\n\n### Objectives\n\n- To identify and explore common unit fractions.\n- To identify and explore equivalent fractions.\n- To reduce fractions to their lowest terms.\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... | general | {
"ground_truth": 1,
"style": "rule"
} | {
"answer_type": "categorical",
"index": 19969,
"split": "train",
"text": "Take the 2-minute tour ×\n\nI need to compute a large number of inverses of the following form:\n\n$(A \\Lambda_k A^\\top)^{-1}$\n\nwhere $A \\in \\mathbb{R}^{m \\times n}$, $n > m$ and $\\Lambda_k = \\text{diag}(\\lambda_1, ..., \\lambd... |
questioner_given_difficulty_id | [
{
"content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl... | general | {
"ground_truth": 2,
"style": "rule"
} | {
"answer_type": "categorical",
"index": 19969,
"split": "train",
"text": "Take the 2-minute tour ×\n\nI need to compute a large number of inverses of the following form:\n\n$(A \\Lambda_k A^\\top)^{-1}$\n\nwhere $A \\in \\mathbb{R}^{m \\times n}$, $n > m$ and $\\Lambda_k = \\text{diag}(\\lambda_1, ..., \\lambd... |
questioner_given_difficulty_id | [
{
"content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl... | general | {
"ground_truth": 3,
"style": "rule"
} | {
"answer_type": "categorical",
"index": 19969,
"split": "train",
"text": "Take the 2-minute tour ×\n\nI need to compute a large number of inverses of the following form:\n\n$(A \\Lambda_k A^\\top)^{-1}$\n\nwhere $A \\in \\mathbb{R}^{m \\times n}$, $n > m$ and $\\Lambda_k = \\text{diag}(\\lambda_1, ..., \\lambd... |
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": 19970,
"split": "train",
"text": "Take the 2-minute tour ×\n\nSome have argued for using AES-256-CTR with HMAC-SHA-256 for authenticated encryption over AEAD-specific modes like EAX and GCM.\n\nHowever, when doing, this, what should be HMAC'd? And how? Specifically:\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... | general | {
"ground_truth": 2,
"style": "rule"
} | {
"answer_type": "categorical",
"index": 19970,
"split": "train",
"text": "Take the 2-minute tour ×\n\nSome have argued for using AES-256-CTR with HMAC-SHA-256 for authenticated encryption over AEAD-specific modes like EAX and GCM.\n\nHowever, when doing, this, what should be HMAC'd? And how? Specifically:\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... | general | {
"ground_truth": 3,
"style": "rule"
} | {
"answer_type": "categorical",
"index": 19970,
"split": "train",
"text": "Take the 2-minute tour ×\n\nSome have argued for using AES-256-CTR with HMAC-SHA-256 for authenticated encryption over AEAD-specific modes like EAX and GCM.\n\nHowever, when doing, this, what should be HMAC'd? And how? Specifically:\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... | general | {
"ground_truth": 1,
"style": "rule"
} | {
"answer_type": "categorical",
"index": 19971,
"split": "train",
"text": "Magnetic Fields\n\n0 pts ended\n\nA mass spectrometer is designed to separate atoms of carbon to determine the fraction of different isotopes. (Isotopes of an element have the same atomic number but different atomic mass, due to differen... |
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": 19971,
"split": "train",
"text": "Magnetic Fields\n\n0 pts ended\n\nA mass spectrometer is designed to separate atoms of carbon to determine the fraction of different isotopes. (Isotopes of an element have the same atomic number but different atomic mass, due to differen... |
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": 19971,
"split": "train",
"text": "Magnetic Fields\n\n0 pts ended\n\nA mass spectrometer is designed to separate atoms of carbon to determine the fraction of different isotopes. (Isotopes of an element have the same atomic number but different atomic mass, due to differen... |
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": 19972,
"split": "train",
"text": "## Hypothesis Testing of Mean\n\n### Problem 1: Vehicle Mileage Before Accident Claim\n\nLast year, according to a consumer group, the average passenger vehicle was driven 10.3 thousand miles with a standard deviation of 2 thousand miles befor... |
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": 19972,
"split": "train",
"text": "## Hypothesis Testing of Mean\n\n### Problem 1: Vehicle Mileage Before Accident Claim\n\nLast year, according to a consumer group, the average passenger vehicle was driven 10.3 thousand miles with a standard deviation of 2 thousand miles bef... |
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": 19972,
"split": "train",
"text": "## Hypothesis Testing of Mean\n\n### Problem 1: Vehicle Mileage Before Accident Claim\n\nLast year, according to a consumer group, the average passenger vehicle was driven 10.3 thousand miles with a standard deviation of 2 thousand miles bef... |
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": 19973,
"split": "train",
"text": "Take the 2-minute tour ×\n\nI seek an example of an amenable group of finite cohomological dimension that is not virtually polycyclic and has finite abelianization.\n\n\n 1. Elementary amenable groups of finite cohomological dimension a... |
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": 19973,
"split": "train",
"text": "Take the 2-minute tour ×\n\nI seek an example of an amenable group of finite cohomological dimension that is not virtually polycyclic and has finite abelianization.\n\n\n 1. Elementary amenable groups of finite cohomological dimension a... |
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": 19973,
"split": "train",
"text": "Take the 2-minute tour ×\n\nI seek an example of an amenable group of finite cohomological dimension that is not virtually polycyclic and has finite abelianization.\n\n\n 1. Elementary amenable groups of finite cohomological dimension a... |
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": 19974,
"split": "train",
"text": "Take the 2-minute tour ×\n\nMy ISP had some network issues today, and these manifested as a very strange problem. For some reason, the only websites accessible were those belonging to the ISP and to Google. However, all sites that I trie... |
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": 19974,
"split": "train",
"text": "Take the 2-minute tour ×\n\nMy ISP had some network issues today, and these manifested as a very strange problem. For some reason, the only websites accessible were those belonging to the ISP and to Google. However, all sites that I trie... |
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": 19974,
"split": "train",
"text": "Take the 2-minute tour ×\n\nMy ISP had some network issues today, and these manifested as a very strange problem. For some reason, the only websites accessible were those belonging to the ISP and to Google. However, all sites that I trie... |
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": 19975,
"split": "train",
"text": "# Chapter 1: Vectors, Lines and Planes\n\n## Section 1.5: Applications of Vector Products\n\n### Example 1.5.15\n\nIf \\(\\mathbf{A} \\neq \\mathbf{0}\\), show that \\(\\mathbf{A} \\times \\mathbf{B} = \\mathbf{A} \\times \\mathbf{C}\\) and ... |
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": 19975,
"split": "train",
"text": "# Chapter 1: Vectors, Lines and Planes\n\n## Section 1.5: Applications of Vector Products\n\n### Example 1.5.15\n\nIf \\(\\mathbf{A} \\neq \\mathbf{0}\\), show that \\(\\mathbf{A} \\times \\mathbf{B} = \\mathbf{A} \\times \\mathbf{C}\\) and ... |
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": 19975,
"split": "train",
"text": "# Chapter 1: Vectors, Lines and Planes\n\n## Section 1.5: Applications of Vector Products\n\n### Example 1.5.15\n\nIf \\(\\mathbf{A} \\neq \\mathbf{0}\\), show that \\(\\mathbf{A} \\times \\mathbf{B} = \\mathbf{A} \\times \\mathbf{C}\\) and ... |
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": 19976,
"split": "train",
"text": "Teams of agents, defined as agents operating in the same environment with identical utility functions, are typically developed in a planned, coordinated fashion. However, such coordinated development is not always possible. Rather, as ... |
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": 19976,
"split": "train",
"text": "Teams of agents, defined as agents operating in the same environment with identical utility functions, are typically developed in a planned, coordinated fashion. However, such coordinated development is not always possible. Rather, as ... |
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": 19976,
"split": "train",
"text": "Teams of agents, defined as agents operating in the same environment with identical utility functions, are typically developed in a planned, coordinated fashion. However, such coordinated development is not always possible. Rather, as ... |
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": 19977,
"split": "train",
"text": "Go Down\n\nTopic: Creating an IR communicating robot, with servo control and PCM sound. (Read 315 times) previous topic - next topic\n\n\nGood day everyone,\nI have been using 3 Uno boards for a while to develop my project. Currently, I ... |
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": 19977,
"split": "train",
"text": "Go Down\n\nTopic: Creating an IR communicating robot, with servo control and PCM sound. (Read 315 times) previous topic - next topic\n\n\nGood day everyone,\nI have been using 3 Uno boards for a while to develop my project. Currently, I ... |
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": 19977,
"split": "train",
"text": "Go Down\n\nTopic: Creating an IR communicating robot, with servo control and PCM sound. (Read 315 times) previous topic - next topic\n\n\nGood day everyone,\nI have been using 3 Uno boards for a while to develop my project. Currently, I ... |
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": 19978,
"split": "train",
"text": "Take the 2-minute tour ×\n\nGiven real numbers $a,b$ such that $0<a<b$ and $m=\\dfrac{a+b}{2}<\\dfrac{\\pi}{4}$,evaluate\n\n$$\\displaystyle\\lim_{\\xi\\to 0^{+}}\\left(\\displaystyle\\int_{a}^{m-\\xi}f(x)dx+\\displaystyle\\int_{m+\\xi}^... |
questioner_given_difficulty_id | [
{
"content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl... | general | {
"ground_truth": 2,
"style": "rule"
} | {
"answer_type": "categorical",
"index": 19978,
"split": "train",
"text": "Take the 2-minute tour ×\n\nGiven real numbers $a,b$ such that $0<a<b$ and $m=\\dfrac{a+b}{2}<\\dfrac{\\pi}{4}$,evaluate\n\n$$\\displaystyle\\lim_{\\xi\\to 0^{+}}\\left(\\displaystyle\\int_{a}^{m-\\xi}f(x)dx+\\displaystyle\\int_{m+\\xi}^... |
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": 19978,
"split": "train",
"text": "Take the 2-minute tour ×\n\nGiven real numbers $a,b$ such that $0<a<b$ and $m=\\dfrac{a+b}{2}<\\dfrac{\\pi}{4}$,evaluate\n\n$$\\displaystyle\\lim_{\\xi\\to 0^{+}}\\left(\\displaystyle\\int_{a}^{m-\\xi}f(x)dx+\\displaystyle\\int_{m+\\xi}^... |
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": 19979,
"split": "train",
"text": "# Problem Solving Using Algebra\n\n**Thread: Problem solving using algebra**\n\n---\n\n**BG5965** \n*Aug 16th 2009, 12:45 AM* \n*Member, Joined May 2008, Posts 101*\n\nHi, I've got a problem here. I've tried using LCM and HCF, but it isn'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": 19979,
"split": "train",
"text": "# Problem Solving Using Algebra\n\n**Thread: Problem solving using algebra**\n\n---\n\n**BG5965** \n*Aug 16th 2009, 12:45 AM* \n*Member, Joined May 2008, Posts 101*\n\nHi, I've got a problem here. I've tried using LCM and HCF, but it isn'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": 3,
"style": "rule"
} | {
"answer_type": "integer",
"index": 19979,
"split": "train",
"text": "# Problem Solving Using Algebra\n\n**Thread: Problem solving using algebra**\n\n---\n\n**BG5965** \n*Aug 16th 2009, 12:45 AM* \n*Member, Joined May 2008, Posts 101*\n\nHi, I've got a problem here. I've tried using LCM and HCF, but it isn'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": 1,
"style": "rule"
} | {
"answer_type": "categorical",
"index": 19980,
"split": "train",
"text": "The following thread is on the challenging problem of how to quickly factor a composite integer using polynomials.\n\nI wish for other users to answer the question I make in each post, however if it goes unanswered, I'll post it myself 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": 19980,
"split": "train",
"text": "The following thread is on the challenging problem of how to quickly factor a composite integer using polynomials.\n\nI wish for other users to answer the question I make in each post, however if it goes unanswered, I'll post it myself 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": 19980,
"split": "train",
"text": "The following thread is on the challenging problem of how to quickly factor a composite integer using polynomials.\n\nI wish for other users to answer the question I make in each post, however if it goes unanswered, I'll post it myself 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": 19981,
"split": "train",
"text": "# Speed, Time, and Distance Concepts and Formulas\n\n## Points to Remember\n\n1. **Speed:** The rate at which an object is moving is known as its speed. It is the distance traveled per unit time. For example, an object moving at \\(20 \\, \\... |
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": 19981,
"split": "train",
"text": "# Speed, Time, and Distance Concepts and Formulas\n\n## Points to Remember\n\n1. **Speed:** The rate at which an object is moving is known as its speed. It is the distance traveled per unit time. For example, an object moving at \\(20 \\, \\... |
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": 19981,
"split": "train",
"text": "# Speed, Time, and Distance Concepts and Formulas\n\n## Points to Remember\n\n1. **Speed:** The rate at which an object is moving is known as its speed. It is the distance traveled per unit time. For example, an object moving at \\(20 \\, \\... |
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": 19982,
"split": "train",
"text": "# Optimization Continued\n\n## Problem 1\nAn open box is to be made from a piece of metal 16 by 30 inches by cutting out squares of equal size from the corners and bending up the sides. What size square should be cut out to create a box with... |
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": 19982,
"split": "train",
"text": "# Optimization Continued\n\n## Problem 1\nAn open box is to be made from a piece of metal 16 by 30 inches by cutting out squares of equal size from the corners and bending up the sides. What size square should be cut out to create a box with... |
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": 19982,
"split": "train",
"text": "# Optimization Continued\n\n## Problem 1\nAn open box is to be made from a piece of metal 16 by 30 inches by cutting out squares of equal size from the corners and bending up the sides. What size square should be cut out to create a box with... |
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": 19983,
"split": "train",
"text": "\n\nA proposed “proof” is probably a bust–but even failed attempts can advance computer science.\n\n\n\n\n\n\n\n\n\nFor example, our inability to efficiently factor huge composite numbers (a classic NP problem) forms the basis of modern ... |
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": 19983,
"split": "train",
"text": "\n\nA proposed “proof” is probably a bust–but even failed attempts can advance computer science.\n\n\n\n\n\n\n\n\n\nFor example, our inability to efficiently factor huge composite numbers (a classic NP problem) forms the basis of modern ... |
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": 19983,
"split": "train",
"text": "\n\nA proposed “proof” is probably a bust–but even failed attempts can advance computer science.\n\n\n\n\n\n\n\n\n\nFor example, our inability to efficiently factor huge composite numbers (a classic NP problem) forms the basis of modern ... |
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": 19984,
"split": "train",
"text": "# A Weak Converse of $AB=BA \\implies e^Ae^B=e^Be^A$ from “Topics in Matrix Analysis” for Matrices of Algebraic Numbers\n\nIt is a well-known fact that if $A, B \\in M_{n \\times n}(\\mathbb{C})$ and $AB = BA$, then $e^A e^B = e^B e^A$. Howe... |
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": 19984,
"split": "train",
"text": "# A Weak Converse of $AB=BA \\implies e^Ae^B=e^Be^A$ from “Topics in Matrix Analysis” for Matrices of Algebraic Numbers\n\nIt is a well-known fact that if $A, B \\in M_{n \\times n}(\\mathbb{C})$ and $AB = BA$, then $e^A e^B = e^B e^A$. Howe... |
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": 19984,
"split": "train",
"text": "# A Weak Converse of $AB=BA \\implies e^Ae^B=e^Be^A$ from “Topics in Matrix Analysis” for Matrices of Algebraic Numbers\n\nIt is a well-known fact that if $A, B \\in M_{n \\times n}(\\mathbb{C})$ and $AB = BA$, then $e^A e^B = e^B e^A$. Howe... |
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": 19985,
"split": "train",
"text": "## Linear Algebra: Solving Linear Systems with Multiple Variables\n\nLinear algebra is especially suited for solving linear systems with multiple variables.\n\n### Solving Linear Systems with Multiple Variables\n\nLet's say for example, that a... |
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": 19985,
"split": "train",
"text": "## Linear Algebra: Solving Linear Systems with Multiple Variables\n\nLinear algebra is especially suited for solving linear systems with multiple variables.\n\n### Solving Linear Systems with Multiple Variables\n\nLet's say for example, that... |
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": "float",
"index": 19985,
"split": "train",
"text": "## Linear Algebra: Solving Linear Systems with Multiple Variables\n\nLinear algebra is especially suited for solving linear systems with multiple variables.\n\n### Solving Linear Systems with Multiple Variables\n\nLet's say for example, that a... |
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": 19986,
"split": "train",
"text": "# How to Analyze (Sum and Convergence) Step-by-Step This Series: $\\sum_{n=1}^\\infty\\frac{4}{(n+1)(n+2)}$?\n\n## Question\nI have this series:\n\n$$\\sum_{n=1}^\\infty\\frac{4}{(n+1)(n+2)}$$\n\nand\n\n$$\\sum_{n=1}^\\infty\\frac{4}{(n+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": 2,
"style": "rule"
} | {
"answer_type": "integer",
"index": 19986,
"split": "train",
"text": "# How to Analyze (Sum and Convergence) Step-by-Step This Series: $\\sum_{n=1}^\\infty\\frac{4}{(n+1)(n+2)}$?\n\n## Question\nI have this series:\n\n$$\\sum_{n=1}^\\infty\\frac{4}{(n+1)(n+2)}$$\n\nand\n\n$$\\sum_{n=1}^\\infty\\frac{4}{(n+1)(n... |
questioner_given_difficulty_id | [
{
"content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl... | math | {
"ground_truth": 3,
"style": "rule"
} | {
"answer_type": "integer",
"index": 19986,
"split": "train",
"text": "# How to Analyze (Sum and Convergence) Step-by-Step This Series: $\\sum_{n=1}^\\infty\\frac{4}{(n+1)(n+2)}$?\n\n## Question\nI have this series:\n\n$$\\sum_{n=1}^\\infty\\frac{4}{(n+1)(n+2)}$$\n\nand\n\n$$\\sum_{n=1}^\\infty\\frac{4}{(n+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... | general | {
"ground_truth": 1,
"style": "rule"
} | {
"answer_type": "categorical",
"index": 19987,
"split": "train",
"text": "• nanoparticles;\n • bacteria;\n • membranes;\n • ROS;\n • assays\n\n\nThe production and inevitable release of engineered nanoparticles requires rapid approaches to screen for their potential effects in environmental organisms, incl... |
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": 19987,
"split": "train",
"text": "• nanoparticles;\n • bacteria;\n • membranes;\n • ROS;\n • assays\n\n\nThe production and inevitable release of engineered nanoparticles requires rapid approaches to screen for their potential effects in environmental organisms, incl... |
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": 19987,
"split": "train",
"text": "• nanoparticles;\n • bacteria;\n • membranes;\n • ROS;\n • assays\n\n\nThe production and inevitable release of engineered nanoparticles requires rapid approaches to screen for their potential effects in environmental organisms, incl... |
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": 19988,
"split": "train",
"text": "# Finding Factors - Math Lesson 12.1\n\nIn this lesson, we explore the method of finding factors of numbers. A factor of a number is an integer that divides the number without leaving a remainder. For example, the factors of 12 are 1, 2, 3, ... |
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": 19988,
"split": "train",
"text": "# Finding Factors - Math Lesson 12.1\n\nIn this lesson, we explore the method of finding factors of numbers. A factor of a number is an integer that divides the number without leaving a remainder. For example, the factors of 12 are 1, 2, 3, ... |
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": 19988,
"split": "train",
"text": "# Finding Factors - Math Lesson 12.1\n\nIn this lesson, we explore the method of finding factors of numbers. A factor of a number is an integer that divides the number without leaving a remainder. For example, the factors of 12 are 1, 2, 3, ... |
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": 19989,
"split": "train",
"text": "# Taylor Polynomial of ODE\n\n## Problem Statement\n\nGiven the differential equation:\n\n\\[\n\\frac{dy}{dt} = \\frac{-\\pi \\cos(\\pi t) - 2ty}{1 + t^2}\n\\]\n\nFind the fourth degree Taylor polynomial centered about 0.\n\nThe Taylor polyn... |
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": 19989,
"split": "train",
"text": "# Taylor Polynomial of ODE\n\n## Problem Statement\n\nGiven the differential equation:\n\n\\[\n\\frac{dy}{dt} = \\frac{-\\pi \\cos(\\pi t) - 2ty}{1 + t^2}\n\\]\n\nFind the fourth degree Taylor polynomial centered about 0.\n\nThe Taylor polyn... |
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": 19989,
"split": "train",
"text": "# Taylor Polynomial of ODE\n\n## Problem Statement\n\nGiven the differential equation:\n\n\\[\n\\frac{dy}{dt} = \\frac{-\\pi \\cos(\\pi t) - 2ty}{1 + t^2}\n\\]\n\nFind the fourth degree Taylor polynomial centered about 0.\n\nThe Taylor polyn... |
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": 19990,
"split": "train",
"text": "# Basic Heat Transfer Calculations: Conduction, Convection, and Radiation\n\nThe following are the basic heat transfer calculation formulas for conduction, convection, and radiation.\n\n## Conduction Heat Transfer\n\nConduction is the transf... |
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": 19990,
"split": "train",
"text": "# Basic Heat Transfer Calculations: Conduction, Convection, and Radiation\n\nThe following are the basic heat transfer calculation formulas for conduction, convection, and radiation.\n\n## Conduction Heat Transfer\n\nConduction is the transf... |
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": 19990,
"split": "train",
"text": "# Basic Heat Transfer Calculations: Conduction, Convection, and Radiation\n\nThe following are the basic heat transfer calculation formulas for conduction, convection, and radiation.\n\n## Conduction Heat Transfer\n\nConduction is the transf... |
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": 19991,
"split": "train",
"text": "# Nonlinear Straight Line?\n\nFrom almost everywhere, a straight line is linear defined as \\( C(t) = P_0 + tV_0 \\). However, consider a straight line that is not linear with respect to the parameter \\( t \\), such as \\( C(t) = P_0 + tV_0 +... |
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": 19991,
"split": "train",
"text": "# Nonlinear Straight Line?\n\nFrom almost everywhere, a straight line is linear defined as \\( C(t) = P_0 + tV_0 \\). However, consider a straight line that is not linear with respect to the parameter \\( t \\), such as \\( C(t) = P_0 + tV_0 +... |
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": 19991,
"split": "train",
"text": "# Nonlinear Straight Line?\n\nFrom almost everywhere, a straight line is linear defined as \\( C(t) = P_0 + tV_0 \\). However, consider a straight line that is not linear with respect to the parameter \\( t \\), such as \\( C(t) = P_0 + tV_0... |
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": 19992,
"split": "train",
"text": "Take the 2-minute tour ×\n\nWe have to store basic information about 3 million products. Currently the info is one 180 mb CSV which gets updated quarterly.\n\nThere will be about 30,000 queries per day, but the queries are just a very si... |
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": 19992,
"split": "train",
"text": "Take the 2-minute tour ×\n\nWe have to store basic information about 3 million products. Currently the info is one 180 mb CSV which gets updated quarterly.\n\nThere will be about 30,000 queries per day, but the queries are just a very si... |
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": 19992,
"split": "train",
"text": "Take the 2-minute tour ×\n\nWe have to store basic information about 3 million products. Currently the info is one 180 mb CSV which gets updated quarterly.\n\nThere will be about 30,000 queries per day, but the queries are just a very si... |
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": 19993,
"split": "train",
"text": "**Understanding Euler's Formula**\n\nEuler's formula is a fundamental equation in complex analysis that establishes a deep relationship between trigonometric functions and the exponential function. It is expressed as:\n\n$$ e^{ix} = \\cos(x)... |
questioner_given_difficulty_id | [
{
"content": "Your task is to generate a single self-contained question and its correct answer inspired by the given document.\nThe question must strictly satisfy both the difficulty level and the answer_type constraints.\n\nYou must output exactly one JSON object as specified below. \nAll reasoning MUST be pl... | math | {
"ground_truth": 2,
"style": "rule"
} | {
"answer_type": "integer",
"index": 19993,
"split": "train",
"text": "**Understanding Euler's Formula**\n\nEuler's formula is a fundamental equation in complex analysis that establishes a deep relationship between trigonometric functions and the exponential function. It is expressed as:\n\n$$ e^{ix} = \\cos(x)... |
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": 19993,
"split": "train",
"text": "**Understanding Euler's Formula**\n\nEuler's formula is a fundamental equation in complex analysis that establishes a deep relationship between trigonometric functions and the exponential function. It is expressed as:\n\n$$ e^{ix} = \\cos(x)... |
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": 19994,
"split": "train",
"text": "# Homework Help: Sliding Block Problem\n\n### Problem Statement\n\nA 38.5g block is sliding at 5.0 m/s on the upper surface, which is frictionless and 1.00 m above the lower frictionless surface. The block slides down a ramp inclined at an a... |
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": 19994,
"split": "train",
"text": "# Homework Help: Sliding Block Problem\n\n### Problem Statement\n\nA 38.5g block is sliding at 5.0 m/s on the upper surface, which is frictionless and 1.00 m above the lower frictionless surface. The block slides down a ramp inclined at an a... |
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": 19994,
"split": "train",
"text": "# Homework Help: Sliding Block Problem\n\n### Problem Statement\n\nA 38.5g block is sliding at 5.0 m/s on the upper surface, which is frictionless and 1.00 m above the lower frictionless surface. The block slides down a ramp inclined at an a... |
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": 19995,
"split": "train",
"text": "ijms International Journal of Molecular Sciences Int. J. Mol. Sci. 1422-0067 Molecular Diversity Preservation International (MDPI) 10.3390/ijms13022219 ijms-13-02219 Review Alpha7 Nicotinic Acetylcholine Receptor Is a Target in Pharmacol... |
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": 19995,
"split": "train",
"text": "ijms International Journal of Molecular Sciences Int. J. Mol. Sci. 1422-0067 Molecular Diversity Preservation International (MDPI) 10.3390/ijms13022219 ijms-13-02219 Review Alpha7 Nicotinic Acetylcholine Receptor Is a Target in Pharmacol... |
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": 19995,
"split": "train",
"text": "ijms International Journal of Molecular Sciences Int. J. Mol. Sci. 1422-0067 Molecular Diversity Preservation International (MDPI) 10.3390/ijms13022219 ijms-13-02219 Review Alpha7 Nicotinic Acetylcholine Receptor Is a Target in Pharmacol... |
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": 19996,
"split": "train",
"text": "# A 4-kg Sphere on a Smooth Parabolic Surface\n\n## Problem Statement\n\nA 4-kg sphere rests on a smooth parabolic surface. Determine the normal force it exerts on the surface and the mass \\( m_b \\) of block B needed to hold it in equilibr... |
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": 19996,
"split": "train",
"text": "# A 4-kg Sphere on a Smooth Parabolic Surface\n\n## Problem Statement\n\nA 4-kg sphere rests on a smooth parabolic surface. Determine the normal force it exerts on the surface and the mass \\( m_b \\) of block B needed to hold it in equilibr... |
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": 19996,
"split": "train",
"text": "# A 4-kg Sphere on a Smooth Parabolic Surface\n\n## Problem Statement\n\nA 4-kg sphere rests on a smooth parabolic surface. Determine the normal force it exerts on the surface and the mass \\( m_b \\) of block B needed to hold it in equilibr... |
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": 19997,
"split": "train",
"text": "# Place Value and Integers\n\n### Queena Lee-Chua\n\nIn this lesson, students are encouraged to donate money to share with Grade 2 public school students in Payatas. Your class has two Bigay Puso cans—blue and green. Which can has more money... |
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": 19997,
"split": "train",
"text": "# Place Value and Integers\n\n### Queena Lee-Chua\n\nIn this lesson, students are encouraged to donate money to share with Grade 2 public school students in Payatas. Your class has two Bigay Puso cans—blue and green. Which can has more money... |
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": 19997,
"split": "train",
"text": "# Place Value and Integers\n\n### Queena Lee-Chua\n\nIn this lesson, students are encouraged to donate money to share with Grade 2 public school students in Payatas. Your class has two Bigay Puso cans—blue and green. Which can has more money... |
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": 19998,
"split": "train",
"text": "# Chapter 3: Growth of Functions\n\n## 3.1 Asymptotic Notation\n\n\"Asymptotic\" notation is used to answer the question: What is the LIMIT of an algorithm's running time when the size of its input increases WITHOUT BOUND? This is the algori... |
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": 19998,
"split": "train",
"text": "# Chapter 3: Growth of Functions\n\n## 3.1 Asymptotic Notation\n\n\"Asymptotic\" notation is used to answer the question: What is the LIMIT of an algorithm's running time when the size of its input increases WITHOUT BOUND? This is the algori... |
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": 19998,
"split": "train",
"text": "# Chapter 3: Growth of Functions\n\n## 3.1 Asymptotic Notation\n\n\"Asymptotic\" notation is used to answer the question: What is the LIMIT of an algorithm's running time when the size of its input increases WITHOUT BOUND? This is the algori... |
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": 19999,
"split": "train",
"text": "## Analytical Integration of Arccoth x\n\nIn this article, we explore the analytical integration of the inverse hyperbolic cotangent function, denoted as \\( \\text{Arccoth}(x) \\). The function is defined for \\( |x| > 1 \\) and is given by... |
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": 19999,
"split": "train",
"text": "## Analytical Integration of Arccoth x\n\nIn this article, we explore the analytical integration of the inverse hyperbolic cotangent function, denoted as \\( \\text{Arccoth}(x) \\). The function is defined for \\( |x| > 1 \\) and is given by... |
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": 19999,
"split": "train",
"text": "## Analytical Integration of Arccoth x\n\nIn this article, we explore the analytical integration of the inverse hyperbolic cotangent function, denoted as \\( \\text{Arccoth}(x) \\). The function is defined for \\( |x| > 1 \\) and is given by... |
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