{"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":"7cbab5c3-958c-53eb-8b1b-ef7c15a34913","task_key":"intermediate~5falgebra--test--7cbab5c3-958c-53eb-8b1b-ef7c15a34913","task_revision_id":"1","upstream_id":"","short_description":"Find the number of positive integers $n \\ge 3$ that have the following property:…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Find the number of positive integers $n \\\\ge 3$ that have the following property: If $x_1,$ $x_2,$ $\\\\dots,$ $x_n$ are real numbers such that $x_1 + x_2 + \\\\dots + x_n = 0,$ then\\n\\\\[x_1 x_2 + x_2 x_3 + \\\\dots + x_{n - 1} x_n + x_n x_1 \\\\le 0.\\\\]\",\"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":[]}