{"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":"4a8cfbee-2fb1-5c73-bc7f-007d7a2edfc2","task_key":"precalculus--test--4a8cfbee-2fb1-5c73-bc7f-007d7a2edfc2","task_revision_id":"1","upstream_id":"","short_description":"The matrices","config":"precalculus","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"The matrices\\n\\\\[\\\\mathbf{A} = \\\\renewcommand{\\\\arraystretch}{1.5} \\\\begin{pmatrix} 1 & x \\\\\\\\ y & -\\\\frac{9}{5} \\\\end{pmatrix} \\\\renewcommand{\\\\arraystretch}{1} \\\\quad \\\\text{and} \\\\quad \\\\mathbf{B} = \\\\renewcommand{\\\\arraystretch}{1.5} \\\\begin{pmatrix} \\\\frac{12}{5} & \\\\frac{1}{10} \\\\\\\\ 5 & z \\\\end{pmatrix} \\\\renewcommand{\\\\arraystretch}{1}\\\\]satisfy $\\\\mathbf{A} + \\\\mathbf{B} = \\\\mathbf{A} \\\\mathbf{B}.$  Find $x + y + z.$\",\"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":[]}