{"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":"51050949-62d8-5570-9287-decee9ac49b5","task_key":"intermediate~5falgebra--test--51050949-62d8-5570-9287-decee9ac49b5","task_revision_id":"1","upstream_id":"","short_description":"Let $f$ be a function taking the nonnegative integers to the positive integers…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Let $f$ be a function taking the nonnegative integers to the positive integers such that $f(0) = f(1) = 1$ and\\n\\\\[\\\\frac{f(n) f(m + 1)}{f(m)} + \\\\frac{f(n) f(n - m)}{f(n - m - 1)} = f(n + 1)\\\\]for all nonnegative integers $n$ and $m,$ where $n \\\\ge m + 1.$\\n\\nFind the smallest nonnegative integer $n$ such that $f(n) > 10^6.$\",\"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":[]}