{"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":"12e0fb9b-ed01-5b1c-afa0-f3b5e2fff82c","task_key":"prealgebra--test--12e0fb9b-ed01-5b1c-afa0-f3b5e2fff82c","task_revision_id":"1","upstream_id":"","short_description":"The trisectors of angles $B$ and $C$ of scalene triangle $ABC$ meet at points…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"The trisectors of angles $B$ and $C$ of scalene triangle $ABC$ meet at points $P$ and $Q$ as shown. Angle $A$ measures 39 degrees and angle $QBP$ measures 14 degrees. What is the measure of angle $BPC$? [asy]\\nimport olympiad; import geometry; size(150); defaultpen(linewidth(0.8));\\ndraw((0,0)--(3,0)--(4,5)--(0,0)--(2,1.5)--(3,0)--(1.7,0.5)--(0,0));\\nlabel(\\\"$P$\\\", (1.7,0.5), S); label(\\\"$Q$\\\", (2,1.5), N); label(\\\"$B$\\\", (0,0),W); label(\\\"$A$\\\", (4,5), N); label(\\\"$C$\\\", (3,0), E);\\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":[]}