{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"olympiadbench","formal_name":"OlympiadBench","introduction":"数学と物理のオリンピック水準の問題で、科学的推論を評価するベンチマークです。公式紹介では英語・中国語の8,476問を収録し、テキストのみと画像付きの設定を区別します。\n\nOlympiadBench 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"},"task_id":"148fe168-6722-5706-98aa-0a4af55f00de","task_key":"OE~5fTO~5fmaths~5fen~5fCOMP--train--2261","task_revision_id":"1","upstream_id":"2261","short_description":"Let $\\lfloor x\\rfloor$ denote the greatest integer less than or equal to $x$.…","config":"OE_TO_maths_en_COMP","split":"train","body":"{\"answer_type\":\"Numerical\",\"is_multiple_answer\":false,\"language\":\"English\",\"question\":\"Let $\\\\lfloor x\\\\rfloor$ denote the greatest integer less than or equal to $x$. For example, $\\\\lfloor 3.1\\\\rfloor=3$ and $\\\\lfloor-1.4\\\\rfloor=-2$.\\n\\nSuppose that $f(n)=2 n-\\\\left\\\\lfloor\\\\frac{1+\\\\sqrt{8 n-7}}{2}\\\\right\\\\rfloor$ and $g(n)=2 n+\\\\left\\\\lfloor\\\\frac{1+\\\\sqrt{8 n-7}}{2}\\\\right\\\\rfloor$ for each positive integer $n$.\\nDetermine a value of $n$ for which $f(n)=100$.\",\"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":[]}