{"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":"e3828ede-d1fa-5afd-92d3-7b6275a10ee9","task_key":"intermediate~5falgebra--test--e3828ede-d1fa-5afd-92d3-7b6275a10ee9","task_revision_id":"1","upstream_id":"","short_description":"Let $\\mathbb{R}$ be the set of real numbers. Let $f : \\mathbb{R} \\to \\mathbb{R}$…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $\\\\mathbb{R}$ be the set of real numbers.  Let $f : \\\\mathbb{R} \\\\to \\\\mathbb{R}$ be a function such that for all real numbers $x$ and $y,$\\n\\\\[f(x^2) + f(y^2) = f(x + y)^2 - 2xy.\\\\]Let\\n\\\\[S = \\\\sum_{n = -2019}^{2019} f(n).\\\\]Determine the number of possible values of $S.$\",\"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":[]}