{"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":"7ac2c1b9-de52-5908-bdc2-2448db55c90c","task_key":"algebra--test--7ac2c1b9-de52-5908-bdc2-2448db55c90c","task_revision_id":"1","upstream_id":"","short_description":"Let $f$ be defined by \\[f(x) = \\left\\{","config":"algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $f$ be defined by  \\\\[f(x) = \\\\left\\\\{\\n\\\\begin{array}{cl}\\n3-x & \\\\text{ if } x \\\\leq 3, \\\\\\\\\\n-x^3+2x^2+3x & \\\\text{ if } x>3.\\n\\\\end{array}\\n\\\\right.\\\\]Calculate $f^{-1}(0)+f^{-1}(6)$.\",\"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":[]}