{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"omni-math","formal_name":"Omni-MATH","introduction":"Omni-MATH evaluates mathematical reasoning on Olympiad-level problems. Its official dataset contains 4,428 problems accompanied by domain and difficulty information.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/KbsdJames/Omni-MATH","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"72450be5-1bff-54f6-96b3-06d3d75a9c9c","task_key":"test--72450be5-1bff-54f6-96b3-06d3d75a9c9c","task_revision_id":"1","upstream_id":"","short_description":"P.J. starts with \\(m=500\\) and chooses a positive integer \\(n\\) with \\(1 \\leq n…","config":"","split":"test","body":"{\"problem\":\"P.J. starts with \\\\(m=500\\\\) and chooses a positive integer \\\\(n\\\\) with \\\\(1 \\\\leq n \\\\leq 499\\\\). He applies the following algorithm to \\\\(m\\\\) and \\\\(n\\\\): P.J. sets \\\\(r\\\\) equal to the remainder when \\\\(m\\\\) is divided by \\\\(n\\\\). If \\\\(r=0\\\\), P.J. sets \\\\(s=0\\\\). If \\\\(r>0\\\\), P.J. sets \\\\(s\\\\) equal to the remainder when \\\\(n\\\\) is divided by \\\\(r\\\\). If \\\\(s=0\\\\), P.J. sets \\\\(t=0\\\\). If \\\\(s>0\\\\), P.J. sets \\\\(t\\\\) equal to the remainder when \\\\(r\\\\) is divided by \\\\(s\\\\). For how many of the positive integers \\\\(n\\\\) with \\\\(1 \\\\leq n \\\\leq 499\\\\) does P.J.'s algorithm give \\\\(1 \\\\leq r \\\\leq 15\\\\) and \\\\(2 \\\\leq s \\\\leq 9\\\\) and \\\\(t=0\\\\)?\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/KbsdJames/Omni-MATH","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}