{"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 algebra / test selection.","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":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"2abc351a-7da4-581b-9152-9d4f5c042010","task_key":"algebra--test--2abc351a-7da4-581b-9152-9d4f5c042010","task_revision_id":"2","upstream_id":"","short_description":"Let \\[f(x) =","config":"algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let  \\\\[f(x) =\\n\\\\begin{cases}\\nk(x) &\\\\text{if }x>3, \\\\\\\\\\nx^2-6x+12&\\\\text{if }x\\\\leq3.\\n\\\\end{cases}\\n\\\\] Find the function $k(x)$ such that $f$ is its own inverse.\",\"type\":\"Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}