{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"math","formal_name":"MATH","introduction":"MATH organises 12,500 high-school competition problems into seven subjects and five difficulty levels, each with a full worked solution. It underlies much of the later mathematics evaluation work; this catalogue imports the full test split: 5,000 problems across all seven subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/hendrycks/math","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"185479d3-7eab-571c-9417-6def9d6786df","task_key":"algebra--test--185479d3-7eab-571c-9417-6def9d6786df","task_revision_id":"1","upstream_id":"","short_description":"Consider the function \\[ f(x) =","config":"algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Consider the function \\\\[ f(x) =\\n\\\\begin{cases}\\nax^2 & \\\\text{if } x \\\\geq a,\\\\\\\\\\nax +2a& \\\\text{if } x <a,\\n\\\\end{cases}\\n\\\\]where $a$ is some number.\\n\\nWhat is the largest value of $a$ such that the graph of $y=f(x)$ intersects every horizontal line at least once?\",\"type\":\"Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}