{"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":"096db388-025e-535d-86fa-1d0fe2dcc30d","task_key":"intermediate~5falgebra--test--096db388-025e-535d-86fa-1d0fe2dcc30d","task_revision_id":"1","upstream_id":"","short_description":"Let $k$ be the smallest positive integer such that the binomial coefficient…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $k$ be the smallest positive integer such that the binomial coefficient $\\\\binom{10^9}{k}$ is less than the binomial coefficient $\\\\binom{10^9 + 1}{k - 1}$.  Let $a$ be the first (from the left) digit of $k$ and let $b$ be the second (from the left) digit of $k$.  What is the value of $10a + b$?\",\"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":[]}