{"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":"2a333e46-f3ec-5c30-bed9-34704896b97b","task_key":"intermediate~5falgebra--test--2a333e46-f3ec-5c30-bed9-34704896b97b","task_revision_id":"1","upstream_id":"","short_description":"Suppose that $a,$ $b,$ $c,$ $d,$ $e,$ $f$ are real numbers such that","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Suppose that $a,$ $b,$ $c,$ $d,$ $e,$ $f$ are real numbers such that\\n\\\\begin{align*}\\na + b + c + d + e + f &= 0, \\\\\\\\\\na + 2b + 3c + 4d + 2e + 2f &= 0, \\\\\\\\\\na + 3b + 6c + 9d + 4e + 6f &= 0, \\\\\\\\\\na + 4b + 10c + 16d + 8e + 24f &= 0, \\\\\\\\\\na + 5b + 15c + 25d + 16e + 120f &= 42.\\n\\\\end{align*}Compute $a + 6b + 21c + 36d + 32e + 720f$.\",\"type\":\"Intermediate Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}