{"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":"63b744be-5b1b-5852-b177-30ead3ea0d7b","task_key":"intermediate~5falgebra--test--63b744be-5b1b-5852-b177-30ead3ea0d7b","task_revision_id":"1","upstream_id":"","short_description":"Let $a,$ $b,$ $c,$ $d,$ and $e$ be the distinct roots of the equation $x^5 +…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $a,$ $b,$ $c,$ $d,$ and $e$ be the distinct roots of the equation $x^5 + 7x^4 - 2 = 0.$  Find\\n\\\\begin{align*}\\n&\\\\frac{a^3}{(a - b)(a - c)(a - d)(a - e)} + \\\\frac{b^3}{(b - a)(b - c)(b - d)(b - e)} \\\\\\\\\\n&\\\\quad + \\\\frac{c^3}{(c - a)(c - b)(c - d)(c - e)} + \\\\frac{d^3}{(d - a)(d - b)(d - c)(d - e)} \\\\\\\\\\n&\\\\quad + \\\\frac{e^3}{(e - a)(e - b)(e - c)(e - d)}.\\n\\\\end{align*}\",\"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":[]}