{"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":"bc7c2831-27a3-587b-85ff-1bc1a462d2e4","task_key":"test--bc7c2831-27a3-587b-85ff-1bc1a462d2e4","task_revision_id":"1","upstream_id":"","short_description":"Let $S=\\{(x, y) \\mid x>0, y>0, x+y<200$, and $x, y \\in \\mathbb{Z}\\}$. Find the…","config":"","split":"test","body":"{\"problem\":\"Let $S=\\\\{(x, y) \\\\mid x>0, y>0, x+y<200$, and $x, y \\\\in \\\\mathbb{Z}\\\\}$. Find the number of parabolas $\\\\mathcal{P}$ with vertex $V$ that satisfy the following conditions: - $\\\\mathcal{P}$ goes through both $(100,100)$ and at least one point in $S$, - $V$ has integer coordinates, and - $\\\\mathcal{P}$ is tangent to the line $x+y=0$ at $V$.\"}","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":[]}