{"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":"79df2052-f75c-5a00-b34e-bea7d84d847b","task_key":"intermediate~5falgebra--test--79df2052-f75c-5a00-b34e-bea7d84d847b","task_revision_id":"1","upstream_id":"","short_description":"Let $z$ be a complex number satisfying $z^2 + z + 1 = 0.$ Compute","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $z$ be a complex number satisfying $z^2 + z + 1 = 0.$  Compute\\n\\\\[\\\\left( z + \\\\frac{1}{z} \\\\right)^2 + \\\\left( z^2 + \\\\frac{1}{z^2} \\\\right)^2 + \\\\left( z^3 + \\\\frac{1}{z^3} \\\\right)^2 + \\\\dots + \\\\left( z^{45} + \\\\frac{1}{z^{45}} \\\\right)^2.\\\\]\",\"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":[]}