{"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":"f1ddf571-b96c-595a-9faf-1dead5b986fa","task_key":"algebra--test--f1ddf571-b96c-595a-9faf-1dead5b986fa","task_revision_id":"1","upstream_id":"","short_description":"Define $f(x)=\\frac{1+x}{1-x}$ and $g(x)=\\frac{-2}{x+1}$. Find the value of…","config":"algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Define $f(x)=\\\\frac{1+x}{1-x}$ and $g(x)=\\\\frac{-2}{x+1}$. Find the value of \\\\[g(f(g(f(\\\\dotsb g(f(12)) \\\\dotsb ))))\\\\]where the function $f$ is applied 8 times, and the function $g$ is applied 8 times, alternating between the two.\",\"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":[]}