{"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":"61dc0871-f4ea-56cb-a665-887c57f4a9e7","task_key":"algebra--test--61dc0871-f4ea-56cb-a665-887c57f4a9e7","task_revision_id":"1","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>2, \\\\\\\\\\n2+(x-2)^2&\\\\text{if }x\\\\leq2.\\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":"index","subproblems":[],"grids":[]}