{"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":"645da7a9-8965-5135-8073-6a11291bd2cf","task_key":"intermediate~5falgebra--test--645da7a9-8965-5135-8073-6a11291bd2cf","task_revision_id":"1","upstream_id":"","short_description":"A cubic polynomial $f(x) = x^3 + ax^2 + bx + c$ with at least two distinct roots…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"A cubic polynomial $f(x) = x^3 + ax^2 + bx + c$ with at least two distinct roots has the following properties:\\n\\n(i) The sum of all the roots is equal to twice the product of all the roots.\\n(ii) The sum of the squares of all the roots is equal to 3 times the product of all the roots.\\n(iii) $f(1) = 1.$\\n\\nFind $c.$\",\"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":[]}