{"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":"9274acf6-23e4-5bdb-9e84-000bff49bb5d","task_key":"precalculus--test--9274acf6-23e4-5bdb-9e84-000bff49bb5d","task_revision_id":"1","upstream_id":"","short_description":"A line has slope $-\\frac{7}{4}.$ Which of the following vectors are possible…","config":"precalculus","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"A line has slope $-\\\\frac{7}{4}.$  Which of the following vectors are possible direction vectors for the line?\\n\\n[asy]\\nusepackage(\\\"amsmath\\\");\\n\\nunitsize(1 cm);\\n\\npair x = (3,0), y = (0,2);\\n\\nlabel(\\\"(A) $\\\\begin{pmatrix} 4 \\\\\\\\ 7 \\\\end{pmatrix}$\\\", y);\\nlabel(\\\"(B) $\\\\begin{pmatrix} 7 \\\\\\\\ 4 \\\\end{pmatrix}$\\\", x + y);\\nlabel(\\\"(C) $\\\\begin{pmatrix} -4/7 \\\\\\\\ 1 \\\\end{pmatrix}$\\\", 2*x + y);\\nlabel(\\\"(D) $\\\\begin{pmatrix} 1 \\\\\\\\ 7/4 \\\\end{pmatrix}$\\\", 3*x + y);\\nlabel(\\\"(E) $\\\\begin{pmatrix} 14 \\\\\\\\ -8 \\\\end{pmatrix}$\\\", (0,0));\\nlabel(\\\"(F) $\\\\begin{pmatrix} -12 \\\\\\\\ 21 \\\\end{pmatrix}$\\\", x);\\nlabel(\\\"(G) $\\\\begin{pmatrix} -2 \\\\\\\\ -7/2 \\\\end{pmatrix}$\\\", 2*x);\\nlabel(\\\"(H) $\\\\begin{pmatrix} -1/3 \\\\\\\\ 7/12 \\\\end{pmatrix}$\\\", 3*x);\\n[/asy]\\n\\nEnter the letters of the correct options, separated by commas.\",\"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":[]}