{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"aime-2025","formal_name":"AIME 2025 I","introduction":"The 15 problems of AIME I 2025. As one of the newest competition sets available, it leaves the least room for training-data contamination, and reading it beside the 2024 set makes that effect visible.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/opencompass/AIME2025","indexing_mode":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"cc633a4e-f53d-53be-87a0-280ea4b78388","task_key":"AIME2025~2dI--test--cc633a4e-f53d-53be-87a0-280ea4b78388","task_revision_id":"2","upstream_id":"","short_description":"Let $k$ be real numbers such that the system $|25+20i-z|=5$ and…","config":"AIME2025-I","split":"test","body":"{\"question\":\"Let $k$ be real numbers such that the system $|25+20i-z|=5$ and $|z-4-k|=|z-3i-k|$ has exactly one complex solution $z$. The sum of all possible values of $k$ can be written as $\\\\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$. Here $i=\\\\sqrt{-1}$.\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/opencompass/AIME2025","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}