{"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":"6d0d2b32-7ed2-59bf-9a77-c00f1b89c218","task_key":"prealgebra--test--6d0d2b32-7ed2-59bf-9a77-c00f1b89c218","task_revision_id":"1","upstream_id":"","short_description":"Triangle $ABC$ is a right triangle. If the measure of angle $PAB$ is $x^\\circ$…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Triangle $ABC$ is a right triangle. If the measure of angle $PAB$ is $x^\\\\circ$ and the measure of angle $ACB$ is expressed in the form $(Mx+N)^\\\\circ$ with $M=1$, what is the value of $M+N$?\\n\\n[asy]\\ndraw((-10,0)--(20,0),linewidth(1),Arrows);\\ndraw((0,0)--(10,10/sqrt(3))--(10+10/3,0),linewidth(1));\\n\\ndraw((10,10/sqrt(3))+dir(-150)--(10,10/sqrt(3))+dir(-150)+dir(-60)--(10,10/sqrt(3))+dir(-60),linewidth(1));\\n\\ndot((-3,0));\\n\\ndraw(dir(180)..dir(105)..dir(30),linewidth(1));\\n\\nlabel(\\\"P\\\",(-3,0),NW);\\nlabel(\\\"A\\\",(0,0),S);\\nlabel(\\\"$x^\\\\circ$\\\",(-1,1),N);\\nlabel(\\\"B\\\",(10,10/sqrt(3)),N);\\nlabel(\\\"C\\\",(10+10/3,0),NE);\\n\\n[/asy]\",\"type\":\"Prealgebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}