{"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":"fd05d309-151a-5438-907c-6b80aee8e94a","task_key":"intermediate~5falgebra--test--fd05d309-151a-5438-907c-6b80aee8e94a","task_revision_id":"1","upstream_id":"","short_description":"The sum of the following seven numbers is exactly 19: $a_1 = 2.56,$ $a_2 =…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"The sum of the following seven numbers is exactly 19: $a_1 = 2.56,$ $a_2 = 2.61,$ $a_3 = 2.65,$ $a_4 = 2.71,$ $a_5 = 2.79,$ $a_6 = 2.82,$ $a_7 = 2.86.$ Each $a_i$ is approximated by some integer $A_i,$ for $1 \\\\le i \\\\le 7,$ such that the sum of the $A_i$'s is also $19.$ Let $M$ be the maximum of the seven \\\"errors\\\" $|A_i - a_i|.$ What is the smallest possible value of $M$?\",\"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":[]}