{"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":"8c80b7b4-489a-5b1e-b3dd-109cf9afb227","task_key":"algebra--test--8c80b7b4-489a-5b1e-b3dd-109cf9afb227","task_revision_id":"1","upstream_id":"","short_description":"If $-6\\leq a \\leq -2$ and $3 \\leq b \\leq 5$, what is the greatest possible value…","config":"algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"If $-6\\\\leq a \\\\leq -2$ and $3 \\\\leq b \\\\leq 5$, what is the greatest possible value of $\\\\displaystyle\\\\left(a+\\\\frac{1}{b}\\\\right)\\\\left(\\\\frac{1}{b}-a\\\\right) $?  Express your answer as a common fraction.\",\"type\":\"Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}