{"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":"83e6d245-58e4-5beb-b883-f8c1d3c7c8f6","task_key":"OE~5fTO~5fmaths~5fen~5fCOMP--train--1747","task_revision_id":"2","upstream_id":"1747","short_description":"Determine the smallest number $M$ such that the inequality","config":"OE_TO_maths_en_COMP","split":"train","body":"{\"answer_type\":\"Numerical\",\"is_multiple_answer\":false,\"language\":\"English\",\"question\":\"Determine the smallest number $M$ such that the inequality\\n\\n$$\\n\\\\left|a b\\\\left(a^{2}-b^{2}\\\\right)+b c\\\\left(b^{2}-c^{2}\\\\right)+c a\\\\left(c^{2}-a^{2}\\\\right)\\\\right| \\\\leq M\\\\left(a^{2}+b^{2}+c^{2}\\\\right)^{2}\\n$$\\n\\nholds for all real numbers $a, b, c$.\",\"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":[]}