{"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":"355ac577-d19f-5a89-b11c-3b053b67e409","task_key":"precalculus--test--355ac577-d19f-5a89-b11c-3b053b67e409","task_revision_id":"1","upstream_id":"","short_description":"The line $y = \\frac{-12x + 74}{5}$ is parameterized in the form","config":"precalculus","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"The line $y = \\\\frac{-12x + 74}{5}$ is parameterized in the form\\n\\\\[\\\\begin{pmatrix} x \\\\\\\\ y \\\\end{pmatrix} = \\\\mathbf{v} + t \\\\mathbf{d},\\\\]so that for $x \\\\le 7,$ the distance between $\\\\begin{pmatrix} x \\\\\\\\ y \\\\end{pmatrix}$ and $\\\\begin{pmatrix} 7 \\\\\\\\ -2 \\\\end{pmatrix}$ is $t.$  Find $\\\\mathbf{d}.$\",\"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":[]}