{"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":"8dbed34d-9a12-50c2-8496-b596ddd4b7dc","task_key":"precalculus--test--8dbed34d-9a12-50c2-8496-b596ddd4b7dc","task_revision_id":"1","upstream_id":"","short_description":"Let $a = e^{4 \\pi i/5}$ and $b = e^{2 \\pi i/17}.$ Compute the value of the…","config":"precalculus","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"Let $a = e^{4 \\\\pi i/5}$ and $b = e^{2 \\\\pi i/17}.$  Compute the value of the product\\n\\\\[(a + b)(a + b^{16})(a^2 + b^2)(a^2 + b^{15})(a^3 + b^8)(a^3 + b^9)(a^4 + b^4)(a^4 + b^{13}).\\\\]\",\"type\":\"Precalculus\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}