{"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":"46cd6b6b-5e0c-513e-8de0-1d7b0bd44a75","task_key":"precalculus--test--46cd6b6b-5e0c-513e-8de0-1d7b0bd44a75","task_revision_id":"1","upstream_id":"","short_description":"Find a matrix of the form $\\mathbf{M} = \\begin{pmatrix} a & b \\\\ 0 & d…","config":"precalculus","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"Find a matrix of the form $\\\\mathbf{M} = \\\\begin{pmatrix} a & b \\\\\\\\ 0 & d \\\\end{pmatrix}$ such that\\n\\\\[\\\\mathbf{M}^3 = \\\\begin{pmatrix} 8 & -57 \\\\\\\\ 0 & 27 \\\\end{pmatrix}.\\\\]\",\"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":[]}