{"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":"e980ee20-c358-50b6-b71a-ac0987c66576","task_key":"precalculus--test--e980ee20-c358-50b6-b71a-ac0987c66576","task_revision_id":"1","upstream_id":"","short_description":"Let $\\mathbf{A} = \\begin{pmatrix} 1 & 5 \\\\ 1 & 3 \\end{pmatrix}.$ Find all real…","config":"precalculus","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"Let $\\\\mathbf{A} = \\\\begin{pmatrix} 1 & 5 \\\\\\\\ 1 & 3 \\\\end{pmatrix}.$  Find all real numbers $x$ such that that matrix $\\\\mathbf{A} - x \\\\mathbf{I}$ is not invertible.  Enter all the solutions, separated by commas.\",\"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":[]}