{"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":"46f968f9-b6a0-5f68-a4b0-697a4de7599b","task_key":"intermediate~5falgebra--test--46f968f9-b6a0-5f68-a4b0-697a4de7599b","task_revision_id":"1","upstream_id":"","short_description":"Let $(a_1, b_1),$ $(a_2, b_2),$ $\\dots,$ $(a_n, b_n)$ be the real solutions to","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 real solutions to\\n\\\\begin{align*}\\na + \\\\frac{17a + 6b}{a^2 + b^2} &= 6, \\\\\\\\\\nb + \\\\frac{6a - 17b}{a^2 + b^2} &= 0.\\n\\\\end{align*}Find $a_1 + b_1 + a_2 + b_2 + \\\\dots + a_n + b_n.$\\n\\nHint: Use complex numbers.\",\"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":[]}