{"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":"0eb49bb5-dbd6-59da-8734-8f99d079914f","task_key":"geometry--test--0eb49bb5-dbd6-59da-8734-8f99d079914f","task_revision_id":"1","upstream_id":"","short_description":"Rectangle $WXYZ$ is drawn on $\\triangle ABC$, such that point $W$ lies on…","config":"geometry","split":"test","body":"{\"level\":\"Level 1\",\"problem\":\"Rectangle $WXYZ$ is drawn on $\\\\triangle ABC$, such that point $W$ lies on segment $AB$, point $X$ lies on segment $AC$, and points $Y$ and $Z$ lies on segment $BC$, as shown. If $m\\\\angle BWZ=26^{\\\\circ}$ and $m\\\\angle CXY=64^{\\\\circ}$, what is $m\\\\angle BAC$, in degrees? [asy]\\nunitsize(0.3cm);\\ndraw((0,0)--(4.5,6)--(21,0)--cycle);\\ndraw((3,0)--(3,4)--(10,4)--(10,0)--cycle);\\nlabel(\\\"B\\\",(0,0),SW);\\nlabel(\\\"W\\\",(3,4),W);\\nlabel(\\\"A\\\",(4.5,6),N);\\nlabel(\\\"X\\\",(10,4),NE);\\nlabel(\\\"C\\\",(21,0),E);\\nlabel(\\\"Y\\\",(10,0),S);\\nlabel(\\\"Z\\\",(3,0),S);\\nlabel(scale(0.7)*Label(\\\"$26^{\\\\circ}$\\\",(2.4,2.6),S));\\nlabel(scale(0.8)*Label(\\\"$64^{\\\\circ}$\\\",(11,3.5),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":[]}