{"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":"e85b20b1-f2c7-5a19-85c6-4db6238d9698","task_key":"OE~5fTO~5fmaths~5fen~5fCOMP--train--1845","task_revision_id":"3","upstream_id":"1845","short_description":"Determine the largest real number $a$ such that for all $n \\geqslant 1$ and for…","config":"OE_TO_maths_en_COMP","split":"train","body":"{\"answer_type\":\"Numerical\",\"is_multiple_answer\":false,\"language\":\"English\",\"question\":\"Determine the largest real number $a$ such that for all $n \\\\geqslant 1$ and for all real numbers $x_{0}, x_{1}, \\\\ldots, x_{n}$ satisfying $0=x_{0}<x_{1}<x_{2}<\\\\cdots<x_{n}$, we have\\n\\n$$\\n\\\\frac{1}{x_{1}-x_{0}}+\\\\frac{1}{x_{2}-x_{1}}+\\\\cdots+\\\\frac{1}{x_{n}-x_{n-1}} \\\\geqslant a\\\\left(\\\\frac{2}{x_{1}}+\\\\frac{3}{x_{2}}+\\\\cdots+\\\\frac{n+1}{x_{n}}\\\\right) .\\\\tag{1}\\n$$\",\"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":[]}