{"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":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"3c49a3a1-ed51-5fe5-808d-eb6109819e04","task_key":"test--3c49a3a1-ed51-5fe5-808d-eb6109819e04","task_revision_id":"3","upstream_id":"","short_description":"Two incongruent triangles $ABC$ and $XYZ$ are called a pair of [i]pals[/i] if…","config":"","split":"test","body":"{\"problem\":\"Two incongruent triangles $ABC$ and $XYZ$ are called a pair of [i]pals[/i] if they satisfy the following conditions: \\n(a) the two triangles have the same area;\\n(b) let $M$ and $W$ be the respective midpoints of sides $BC$ and $YZ$.  The two sets of lengths $\\\\{AB, AM, AC\\\\}$ and $\\\\{XY, XW, XZ\\\\}$ are identical $3$-element sets of pairwise relatively prime integers.\\n\\nDetermine if there are infinitely many pairs of triangles that are pals of each other.\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/KbsdJames/Omni-MATH","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}