{"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":"20aa569f-7ab3-5503-9dd9-29c32c714075","task_key":"algebra--test--20aa569f-7ab3-5503-9dd9-29c32c714075","task_revision_id":"1","upstream_id":"","short_description":"Let $x$ be a positive number such that $2x^2 = 4x + 9.$ If $x$ can be written in…","config":"algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $x$ be a positive number such that $2x^2 = 4x + 9.$ If $x$ can be written in simplified form as $\\\\dfrac{a + \\\\sqrt{b}}{c}$ such that $a,$ $b,$ and $c$ are positive integers, 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":"index","subproblems":[],"grids":[]}