{"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":"c9c1fb7b-6cc0-5d3f-995f-d65adaa4c756","task_key":"intermediate~5falgebra--test--c9c1fb7b-6cc0-5d3f-995f-d65adaa4c756","task_revision_id":"1","upstream_id":"","short_description":"Let a sequence be defined as follows: $a_1 = 3,$ $a_2 = 3,$ and for $n \\ge 2,$","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let a sequence be defined as follows: $a_1 = 3,$ $a_2 = 3,$ and for $n \\\\ge 2,$\\n\\\\[a_{n + 1} a_{n - 1} = a_n^2 + 2007.\\\\]Find the largest integer less than or equal to $\\\\frac{a_{2007}^2+a_{2006}^2}{a_{2007}a_{2006}}$.\",\"type\":\"Intermediate Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}