{"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":"deeae2ef-0ba9-519c-9a33-1dd3765b2191","task_key":"counting~5fand~5fprobability--test--deeae2ef-0ba9-519c-9a33-1dd3765b2191","task_revision_id":"1","upstream_id":"","short_description":"Link is coloring a triforce, which consists of four equilateral triangles and is…","config":"counting_and_probability","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Link is coloring a triforce, which consists of four equilateral triangles and is depicted below. He has three colors to use: gold, black, and green. So that it remains recognizable, he doesn't want to color any two triangles the same color if they share a side. How many different ways can he color the triforce? (Two colorings that differ by rotation are considered distinct.) [asy]\\nsize(50);\\ndraw((0,0)--(2,0)--(1,1.732)--cycle);\\ndraw((1,0)--(1.5,.866)--(.5,.866)--cycle);\\n[/asy]\",\"type\":\"Counting & Probability\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}