{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"olympiadbench","formal_name":"OlympiadBench","introduction":"OlympiadBench evaluates scientific reasoning on Olympiad-level mathematics and physics problems. Its official description lists 8,476 English and Chinese problems with separate text-only and multimodal settings.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/OpenBMB/OlympiadBench","indexing_mode":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"cf87ced3-eb6d-5181-aace-3000fa755c9b","task_key":"OE~5fTO~5fmaths~5fen~5fCOMP--train--2349","task_revision_id":"3","upstream_id":"2349","short_description":"Without using a calculator, determine positive integers $m$ and $n$ for which","config":"OE_TO_maths_en_COMP","split":"train","body":"{\"answer_type\":\"Numerical\",\"is_multiple_answer\":true,\"language\":\"English\",\"question\":\"Without using a calculator, determine positive integers $m$ and $n$ for which\\n\\n$$\\n\\\\sin ^{6} 1^{\\\\circ}+\\\\sin ^{6} 2^{\\\\circ}+\\\\sin ^{6} 3^{\\\\circ}+\\\\cdots+\\\\sin ^{6} 87^{\\\\circ}+\\\\sin ^{6} 88^{\\\\circ}+\\\\sin ^{6} 89^{\\\\circ}=\\\\frac{m}{n}\\n$$\\n\\n(The sum on the left side of the equation consists of 89 terms of the form $\\\\sin ^{6} x^{\\\\circ}$, where $x$ takes each positive integer value from 1 to 89.)\",\"question_type\":\"Open-ended\",\"subject\":\"Math\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/OpenBMB/OlympiadBench","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}