{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"aime-2024","formal_name":"AIME 2024","introduction":"The 30 problems of the 2024 American Invitational Mathematics Examination (AIME I and II). Every answer is an integer from 0 to 999, with no options and no partial credit. It is a frequent reference point for reasoning models.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/Maxwell-Jia/AIME_2024","indexing_mode":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"5c12cbcd-9796-5706-aa4d-66b05e046e23","task_key":"default--train--5c12cbcd-9796-5706-aa4d-66b05e046e23","task_revision_id":"2","upstream_id":"","short_description":"AIME 2024 train 5c12cbcd-9796-5706-aa4d-66b05e046e23","config":"default","split":"train","body":"{\"Problem\":\"Jen enters a lottery by picking $4$ distinct numbers from $S=\\\\{1,2,3,\\\\cdots,9,10\\\\}.$ $4$ numbers are randomly chosen from $S.$ She wins a prize if at least two of her numbers were $2$ of the randomly chosen numbers, and wins the grand prize if all four of her numbers were the randomly chosen numbers. The probability of her winning the grand prize given that she won a prize is $\\\\tfrac{m}{n}$ where $m$ and $n$ are relatively prime positive integers. Find $m+n$.\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/Maxwell-Jia/AIME_2024","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}