{"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":"0ed1d6e9-7fa7-5c08-99a3-237da6551ebd","task_key":"intermediate~5falgebra--test--0ed1d6e9-7fa7-5c08-99a3-237da6551ebd","task_revision_id":"1","upstream_id":"","short_description":"The sequence $a_0$, $a_1$, $a_2$, $\\ldots\\,$ satisfies the recurrence equation","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"The sequence $a_0$, $a_1$, $a_2$, $\\\\ldots\\\\,$ satisfies the recurrence equation\\n\\\\[\\n  a_n = 2 a_{n-1} - 2 a_{n - 2} + a_{n - 3}\\n\\\\]for every integer $n \\\\ge 3$.  If $a_{20} = 1$, $a_{25} = 10$, and $a_{30} = 100$, what is the value of $a_{1331}$?\",\"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":[]}