{"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":"b0659a13-3e2f-597e-8e28-a8fbe8f14744","task_key":"intermediate~5falgebra--test--b0659a13-3e2f-597e-8e28-a8fbe8f14744","task_revision_id":"1","upstream_id":"","short_description":"Let $(a_1,b_1),$ $(a_2,b_2),$ $\\dots,$ $(a_n,b_n)$ be all the ordered pairs…","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 all the ordered pairs $(a,b)$ of complex numbers with $a^2+b^2\\\\neq 0,$\\n\\\\[a+\\\\frac{10b}{a^2+b^2}=5, \\\\quad \\\\text{and} \\\\quad b+\\\\frac{10a}{a^2+b^2}=4.\\\\]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":[]}