{"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":"2ff704cc-9d3a-5aa3-bd3b-e0f3592a0087","task_key":"intermediate~5falgebra--test--2ff704cc-9d3a-5aa3-bd3b-e0f3592a0087","task_revision_id":"1","upstream_id":"","short_description":"Let $P(x)$ be a polynomial of degree 2011 such that $P(1) = 0,$ $P(2) = 1,$…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $P(x)$ be a polynomial of degree 2011 such that $P(1) = 0,$ $P(2) = 1,$ $P(4) = 2,$ $\\\\dots,$ $P(2^{2011}) = 2011.$  Then the coefficient of $x$ in $P(x)$ can be expressed in the form\\n\\\\[a - \\\\frac{1}{b^c},\\\\]where $a,$ $b,$ $c$ are positive integers, and $b$ is prime.  Find $a + b + c.$\",\"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":[]}