{"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":"bf58a051-8b91-5c70-8e39-afd75cd90f2e","task_key":"intermediate~5falgebra--test--bf58a051-8b91-5c70-8e39-afd75cd90f2e","task_revision_id":"1","upstream_id":"","short_description":"Let $x_1,$ $x_2,$ $\\dots,$ $x_{101}$ be positive real numbers such that $x_1^2 +…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $x_1,$ $x_2,$ $\\\\dots,$ $x_{101}$ be positive real numbers such that $x_1^2 + x_2^2 + \\\\dots + x_{101}^2 = 1.$  Find the maximum value of\\n\\\\[x_1 x_2 + x_1 x_3 + \\\\dots + x_1 x_{101}.\\\\]\",\"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":[]}