{"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":"e9c65e39-ba98-5fb1-92c8-de2506abdb55","task_key":"precalculus--test--e9c65e39-ba98-5fb1-92c8-de2506abdb55","task_revision_id":"1","upstream_id":"","short_description":"There is a unique pair of positive real numbers satisfying the equations \\[…","config":"precalculus","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"There is a unique pair of positive real numbers satisfying the equations \\\\[ x^4-6x^2y^2+y^4 = 8 \\\\qquad\\\\mbox{and}\\\\qquad x^3y-xy^3 = 2\\\\sqrt{3}. \\\\]Determine $x$, writing your answer in the form $a\\\\cos\\\\theta$, with $\\\\theta$ in degrees.\",\"type\":\"Precalculus\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}