{"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":"ad4c0299-0cb0-5594-bf49-2662f4c9e8c9","task_key":"number~5ftheory--test--ad4c0299-0cb0-5594-bf49-2662f4c9e8c9","task_revision_id":"1","upstream_id":"","short_description":"The infinite sequence $T=\\{t_0,t_1,t_2,\\ldots\\}$ is defined as $t_0=0,$ $t_1=1,$…","config":"number_theory","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"The infinite sequence $T=\\\\{t_0,t_1,t_2,\\\\ldots\\\\}$ is defined as $t_0=0,$ $t_1=1,$ and $t_n=t_{n-2}+t_{n-1}$ for all integers $n>1.$ If $a,$ $b,$ $c$ are fixed non-negative integers such that \\\\begin{align*}\\na&\\\\equiv 5\\\\pmod {16}\\\\\\\\\\nb&\\\\equiv 10\\\\pmod {16}\\\\\\\\\\nc&\\\\equiv 15\\\\pmod {16},\\n\\\\end{align*}then what is the remainder when $t_a+t_b+t_c$ is divided by $7?$\",\"type\":\"Number Theory\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}