{"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":"c0767809-657d-5e56-9072-91c46c0f221c","task_key":"intermediate~5falgebra--test--c0767809-657d-5e56-9072-91c46c0f221c","task_revision_id":"1","upstream_id":"","short_description":"Let $(x,y)$ be a pair of real numbers satisfying \\[","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $(x,y)$ be a pair of real numbers satisfying \\\\[\\n56x + 33y = \\\\frac{-y}{x^2+y^2}, \\\\qquad \\\\text{and} \\\\qquad 33x-56y = \\\\frac{x}{x^2+y^2}.\\n\\\\]Determine the value of $|x| + |y|$.\",\"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":[]}