{"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":"c73183c1-b755-5711-85ea-a957fc921fef","task_key":"intermediate~5falgebra--test--c73183c1-b755-5711-85ea-a957fc921fef","task_revision_id":"1","upstream_id":"","short_description":"If $a,$ $b,$ and $c$ are real numbers such that $a + b + c = 4$ and $\\frac{1}{a}…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"If $a,$ $b,$ and $c$ are real numbers such that $a + b + c = 4$ and $\\\\frac{1}{a} + \\\\frac{1}{b} + \\\\frac{1}{c} = 5,$ find the value of\\n\\\\[\\\\frac{a}{b} + \\\\frac{b}{a} + \\\\frac{a}{c} + \\\\frac{c}{a} + \\\\frac{b}{c} + \\\\frac{c}{b}.\\\\]\",\"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":[]}