{"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":"5cf7b20a-a864-549c-afeb-25344577fb19","task_key":"intermediate~5falgebra--test--5cf7b20a-a864-549c-afeb-25344577fb19","task_revision_id":"1","upstream_id":"","short_description":"Let $a,$ $b,$ $c$ be nonzero real numbers such that","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $a,$ $b,$ $c$ be nonzero real numbers such that\\n\\\\[\\\\frac{a}{b} + \\\\frac{b}{c} + \\\\frac{c}{a} = 7 \\\\quad \\\\text{and} \\\\quad \\\\frac{b}{a} + \\\\frac{c}{b} + \\\\frac{a}{c} = 9.\\\\]Find\\n\\\\[\\\\frac{a^3}{b^3} + \\\\frac{b^3}{c^3} + \\\\frac{c^3}{a^3}.\\\\]\",\"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":[]}