{"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":"2a6b5b0f-8c5f-5ccc-837a-1bf8d8ea75d5","task_key":"precalculus--test--2a6b5b0f-8c5f-5ccc-837a-1bf8d8ea75d5","task_revision_id":"1","upstream_id":"","short_description":"Given $\\mathbf{A} = \\begin{pmatrix} 0 & 1 \\\\ -1 & 0 \\end{pmatrix},$ there exist…","config":"precalculus","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Given $\\\\mathbf{A} = \\\\begin{pmatrix} 0 & 1 \\\\\\\\ -1 & 0 \\\\end{pmatrix},$ there exist positive real numbers $x$ and $y$ such that\\n\\\\[(x \\\\mathbf{I} + y \\\\mathbf{A})^2 = \\\\mathbf{A}.\\\\]Enter the ordered pair $(x,y).$\",\"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":[]}