{"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":"ea790b0d-066b-5d7b-8ee9-1aef668d1056","task_key":"precalculus--test--ea790b0d-066b-5d7b-8ee9-1aef668d1056","task_revision_id":"1","upstream_id":"","short_description":"Find the matrix $\\mathbf{L} = \\begin{pmatrix} a & 0 \\\\ c & d \\end{pmatrix}$ such…","config":"precalculus","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"Find the matrix $\\\\mathbf{L} = \\\\begin{pmatrix} a & 0 \\\\\\\\ c & d \\\\end{pmatrix}$ such that $a > 0,$ $d > 0,$ and\\n\\\\[\\\\begin{pmatrix} a & 0 \\\\\\\\ c & d \\\\end{pmatrix} \\\\begin{pmatrix} a & c \\\\\\\\ 0 & d \\\\end{pmatrix} = \\\\begin{pmatrix} 4 & -6 \\\\\\\\ -6 & 34 \\\\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":[]}