{"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":"610a7a2e-aae3-5018-bdc6-0336a8c871be","task_key":"precalculus--test--610a7a2e-aae3-5018-bdc6-0336a8c871be","task_revision_id":"1","upstream_id":"","short_description":"Let $\\mathbf{A} = \\begin{pmatrix} 15 & 25 \\\\ -9 & -15 \\end{pmatrix}.$ Compute","config":"precalculus","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Let $\\\\mathbf{A} = \\\\begin{pmatrix} 15 & 25 \\\\\\\\ -9 & -15 \\\\end{pmatrix}.$  Compute\\n\\\\[\\\\mathbf{I} + 2 \\\\mathbf{A} + 3 \\\\mathbf{A}^2 + 4 \\\\mathbf{A}^3 + \\\\dotsb.\\\\]\",\"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":[]}