{"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":"7f11fc60-d66c-5f8d-977a-c3cb601adf6b","task_key":"precalculus--test--7f11fc60-d66c-5f8d-977a-c3cb601adf6b","task_revision_id":"1","upstream_id":"","short_description":"If $\\arccos x + \\arccos 2x + \\arccos 3x = \\pi,$ then $x$ satisfies a cubic…","config":"precalculus","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"If $\\\\arccos x + \\\\arccos 2x + \\\\arccos 3x = \\\\pi,$ then $x$ satisfies a cubic polynomial of the form\\n\\\\[ax^3 + bx^2 + cx + d = 0,\\\\]where $a,$ $b,$ $c,$ and $d$ are integers, and $a \\\\neq 0.$  Find the smallest possible value of $|a| + |b| + |c| + |d|.$\",\"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":[]}