{"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":"a08e7fba-f306-5ab5-a135-8889cdc1f54d","task_key":"intermediate~5falgebra--test--a08e7fba-f306-5ab5-a135-8889cdc1f54d","task_revision_id":"1","upstream_id":"","short_description":"A hyperbola centered at the origin has foci at $(\\pm 7, 0),$ and passes through…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"A hyperbola centered at the origin has foci at $(\\\\pm 7, 0),$ and passes through the point $(2, 12).$ If the equation of the hyperbola is \\\\[\\\\frac{x^2}{a^2} - \\\\frac{y^2}{b^2} = 1,\\\\]where $a$ and $b$ are positive constants, compute the ordered pair $(a, b).$\",\"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":[]}