{"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":"fb6d36e2-97b6-59d6-851e-a5f3955744ae","task_key":"OE~5fTO~5fmaths~5fen~5fCOMP--train--1964","task_revision_id":"3","upstream_id":"1964","short_description":"Let $\\mathbb{Z}_{>0}$ denote the set of positive integers. For any positive…","config":"OE_TO_maths_en_COMP","split":"train","body":"{\"answer_type\":\"Expression\",\"is_multiple_answer\":false,\"language\":\"English\",\"question\":\"Let $\\\\mathbb{Z}_{>0}$ denote the set of positive integers. For any positive integer $k$, a function $f: \\\\mathbb{Z}_{>0} \\\\rightarrow \\\\mathbb{Z}_{>0}$ is called $k$-good if $\\\\operatorname{gcd}(f(m)+n, f(n)+m) \\\\leqslant k$ for all $m \\\\neq n$. Find all $k$ such that there exists a $k$-good function.\",\"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":[]}