{"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":"3059eb82-7351-5988-9bca-513ae60a494e","task_key":"intermediate~5falgebra--test--3059eb82-7351-5988-9bca-513ae60a494e","task_revision_id":"1","upstream_id":"","short_description":"Let $\\mathbb{Q}^+$ denote the set of positive rational numbers. Let $f :…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $\\\\mathbb{Q}^+$ denote the set of positive rational numbers.  Let $f : \\\\mathbb{Q}^+ \\\\to \\\\mathbb{Q}^+$ be a function such that\\n\\\\[f \\\\left( x + \\\\frac{y}{x} \\\\right) = f(x) + \\\\frac{f(y)}{f(x)} + 2y\\\\]for all $x,$ $y \\\\in \\\\mathbb{Q}^+.$\\n\\nFind all possible values of $f \\\\left( \\\\frac{1}{3} \\\\right).$  Enter all the possible values, separated by commas.\",\"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":[]}