{"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":"f152d26a-cc6d-57c0-a9ea-943e91adda78","task_key":"precalculus--test--f152d26a-cc6d-57c0-a9ea-943e91adda78","task_revision_id":"1","upstream_id":"","short_description":"A matrix $\\mathbf{M}$ takes $\\begin{pmatrix} 2 \\\\ -1 \\end{pmatrix}$ to…","config":"precalculus","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"A matrix $\\\\mathbf{M}$ takes $\\\\begin{pmatrix} 2 \\\\\\\\ -1 \\\\end{pmatrix}$ to $\\\\begin{pmatrix} 9 \\\\\\\\ 3 \\\\end{pmatrix},$ and $\\\\begin{pmatrix} 1 \\\\\\\\ -3 \\\\end{pmatrix}$ to $\\\\begin{pmatrix} 7 \\\\\\\\ -1 \\\\end{pmatrix}.$  Find the image of the line $y = 2x + 1$ under $\\\\mathbf{M}.$  Express your answer in the form \\\"$y = mx + b$\\\".\",\"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":[]}