{"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":"336e2777-31be-52bf-8f16-954c4f48fcc8","task_key":"intermediate~5falgebra--test--336e2777-31be-52bf-8f16-954c4f48fcc8","task_revision_id":"1","upstream_id":"","short_description":"If $x,$ $y,$ and $z$ are positive real numbers such that","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"If $x,$ $y,$ and $z$ are positive real numbers such that\\n\\\\[\\\\frac{x + 2y + 4z + 8}{4} = \\\\frac{4}{\\\\frac{1}{x} + \\\\frac{1}{2y} + \\\\frac{1}{4z} + \\\\frac{1}{8}}.\\\\]Find the ordered triple $(x,y,z).$\",\"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":[]}