{"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":"fc2a527b-ee42-5ebf-8a12-716ff07ebaeb","task_key":"intermediate~5falgebra--test--fc2a527b-ee42-5ebf-8a12-716ff07ebaeb","task_revision_id":"1","upstream_id":"","short_description":"Let $(a_1,b_1),$ $(a_2,b_2),$ $\\dots,$ $(a_n,b_n)$ be the ordered pairs $(a,b)$…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $(a_1,b_1),$ $(a_2,b_2),$ $\\\\dots,$ $(a_n,b_n)$ be the ordered pairs $(a,b)$ of real numbers such that the polynomial\\n\\\\[p(x) = (x^2 + ax + b)^2 +a(x^2 + ax + b) - b\\\\]has exactly one real root and no nonreal complex roots.  Find $a_1 + b_1 + a_2 + b_2 + \\\\dots + a_n + b_n.$\",\"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":[]}