{"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":"5c43c836-18f5-5323-b56f-0bfb789eff11","task_key":"intermediate~5falgebra--test--5c43c836-18f5-5323-b56f-0bfb789eff11","task_revision_id":"1","upstream_id":"","short_description":"The equation of a particular ellipse is $4x^2+16y^2-16x+96y+144=0$. Another way…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"The equation of a particular ellipse is $4x^2+16y^2-16x+96y+144=0$. Another way to give the equation for ellipses is in the form $$\\\\dfrac{\\\\left(x-h\\\\right)^2}{a^2}+\\\\dfrac{\\\\left(y-k\\\\right)^2}{b^2}=1$$ When $4x^2+16y^2-16x+96y+144=0$ is rewritten in this form, what is the value of $h + k + a + b$?\",\"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":[]}