{"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 algebra / test selection.","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":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"b49ee8bc-ca5e-5dfd-b31f-7d3ae22205e7","task_key":"algebra--test--b49ee8bc-ca5e-5dfd-b31f-7d3ae22205e7","task_revision_id":"2","upstream_id":"","short_description":"If we write $\\sqrt{2}+\\frac{1}{\\sqrt{2}} + \\sqrt{3} + \\frac{1}{\\sqrt{3}}$ in the…","config":"algebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"If we write $\\\\sqrt{2}+\\\\frac{1}{\\\\sqrt{2}} + \\\\sqrt{3} + \\\\frac{1}{\\\\sqrt{3}}$ in the form $\\\\dfrac{a\\\\sqrt{2} + b\\\\sqrt{3}}{c}$ such that $a$, $b$, and $c$ are positive integers and $c$ is as small as possible, then what is $a+b+c$?\",\"type\":\"Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}