{"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":"86e1638c-aaf7-5061-a285-6d7aee707e4c","task_key":"geometry--test--86e1638c-aaf7-5061-a285-6d7aee707e4c","task_revision_id":"1","upstream_id":"","short_description":"Find $AX$ in the diagram if $CX$ bisects $\\angle ACB$. [asy]","config":"geometry","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"Find $AX$ in the diagram if $CX$ bisects $\\\\angle ACB$. [asy]\\nimport markers;\\n\\nreal t=1-.32;\\npair A=(-4.07,0);\\npair B=(40.008,0);\\npair C=(0,20.616);\\npair X=t*A+(1-t)*B;\\n\\ndraw(C--A--B--C--X);\\n\\nlabel(\\\"$A$\\\",A,SW);\\nlabel(\\\"$B$\\\",B,E);\\nlabel(\\\"$C$\\\",C,N);\\nlabel(\\\"$X$\\\",X,S);\\n\\n//markangle(n=1,radius=15,A,C,X,marker(markinterval(stickframe(n=1),true)));\\n//markangle(n=1,radius=15,X,C,B,marker(markinterval(stickframe(n=1),true)));\\n\\nlabel(\\\"$30$\\\",.5*(B+X),S);\\nlabel(\\\"$45$\\\",.5*(B+C),NE);\\nlabel(\\\"$21$\\\",.5*(A+C),NW);\\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":[]}