{"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":"abc39dfc-af40-58c9-961c-99c864c9b001","task_key":"intermediate~5falgebra--test--abc39dfc-af40-58c9-961c-99c864c9b001","task_revision_id":"1","upstream_id":"","short_description":"Let $f(x) = x^3 + 3x^2 + 1.$ There exist real numbers $a \\neq 0$ and $b,$ such…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Let $f(x) = x^3 + 3x^2 + 1.$  There exist real numbers $a \\\\neq 0$ and $b,$ such that\\n\\\\[f(x) - f(a) = (x - a)^2 (x - b).\\\\]Enter 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":[]}