{"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":"be8f9185-92df-5ded-9e1d-2a786f5a42d2","task_key":"intermediate~5falgebra--test--be8f9185-92df-5ded-9e1d-2a786f5a42d2","task_revision_id":"1","upstream_id":"","short_description":"Let $f : \\mathbb{R} \\to \\mathbb{R}$ be a function such that $f(1) = 1$ and","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $f : \\\\mathbb{R} \\\\to \\\\mathbb{R}$ be a function such that $f(1) = 1$ and\\n\\\\[f(x + f(y + z)) + f(f(x + y) + z) = 2y\\\\]for all real numbers $x,$ $y,$ and $z.$\\n\\nLet $n$ be the number of possible values of $f(5),$ and let $s$ be the sum of all possible values of $f(5).$  Find $n \\\\times s.$\",\"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":[]}