{"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":"92afe3ba-1ac1-53f6-9857-b27060fabb75","task_key":"precalculus--test--92afe3ba-1ac1-53f6-9857-b27060fabb75","task_revision_id":"1","upstream_id":"","short_description":"Let $\\mathbf{A}$ be a matrix such that","config":"precalculus","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"Let $\\\\mathbf{A}$ be a matrix such that\\n\\\\[\\\\mathbf{A} \\\\begin{pmatrix} 3 \\\\\\\\ 1 \\\\\\\\ 0 \\\\end{pmatrix} = \\\\begin{pmatrix} 2 \\\\\\\\ 4 \\\\\\\\ -3 \\\\end{pmatrix} \\\\quad \\\\text{and} \\\\quad \\\\mathbf{A} \\\\begin{pmatrix} -5 \\\\\\\\ 2 \\\\\\\\ 2 \\\\end{pmatrix} = \\\\begin{pmatrix} 0 \\\\\\\\ -5 \\\\\\\\ -5 \\\\end{pmatrix}.\\\\]Find $\\\\mathbf{A} \\\\begin{pmatrix} -13 \\\\\\\\ 3 \\\\\\\\ 4 \\\\end{pmatrix}.$\",\"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":[]}