{"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":"b7d6126c-2e3d-5955-929c-1fe8ebee1f3f","task_key":"precalculus--test--b7d6126c-2e3d-5955-929c-1fe8ebee1f3f","task_revision_id":"1","upstream_id":"","short_description":"The first two terms of a sequence are $a_1 = 1$ and $a_2 = \\frac {1}{\\sqrt3}$.…","config":"precalculus","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"The first two terms of a sequence are $a_1 = 1$ and $a_2 = \\\\frac {1}{\\\\sqrt3}$. For $n\\\\ge1$, \\\\begin{align*} a_{n + 2} = \\\\frac {a_n + a_{n + 1}}{1 - a_na_{n + 1}}. \\\\end{align*}What is $a_{2009}$?\",\"type\":\"Precalculus\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}