{"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":"6556ebec-a2d5-55a8-87bd-bfd9f891aacd","task_key":"geometry--test--6556ebec-a2d5-55a8-87bd-bfd9f891aacd","task_revision_id":"1","upstream_id":"","short_description":"The perimeter of $\\triangle ABC$ is $32.$ If $\\angle ABC=\\angle ACB$ and…","config":"geometry","split":"test","body":"{\"level\":\"Level 1\",\"problem\":\"The perimeter of $\\\\triangle ABC$ is $32.$ If $\\\\angle ABC=\\\\angle ACB$ and $BC=12,$ what is the length of $AB?$\\n\\n[asy]\\ndraw((0,0)--(12,0)--(6,10)--cycle,black+linewidth(1));\\nMarkAngle((12,0),(0,0),(6,10),1,black+linewidth(1));\\nMarkAngle((6,10),(12,0),(0,0),1,black+linewidth(1));\\nlabel(\\\"$A$\\\",(6,10),N);\\nlabel(\\\"$B$\\\",(0,0),W);\\nlabel(\\\"$C$\\\",(12,0),E);\\nlabel(\\\"12\\\",(0,0)--(12,0),S);\\n[/asy]\",\"type\":\"Geometry\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}