{"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":"7bbe7d57-c3a4-57f6-b8d2-6a0bae458665","task_key":"AIME2025~2dI--test--7bbe7d57-c3a4-57f6-b8d2-6a0bae458665","task_revision_id":"2","upstream_id":"","short_description":"A piecewise linear periodic function is defined by $f(x)=\\begin{cases}x&\\text{if…","config":"AIME2025-I","split":"test","body":"{\"question\":\"A piecewise linear periodic function is defined by $f(x)=\\\\begin{cases}x&\\\\text{if }x\\\\in[-1,1)\\\\\\\\2-x&\\\\text{if }x\\\\in[1,3)\\\\end{cases}$ and $f(x+4)=f(x)$ for all real numbers $x$. The graph of $f(x)$ has the sawtooth pattern. The parabola $x=34y^2$ intersects the graph of $f(x)$ at finitely many points. The sum of the $y$-coordinates of these intersection points can be expressed in the form $\\\\frac{a+b\\\\sqrt{c}}{d}$, where $a,b,c,$ and $d$ are positive integers, $a,b,$ and $d$ have greatest common divisor equal to 1, and $c$ is not divisible by the square of any prime. Find $a+b+c+d$.\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/opencompass/AIME2025","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}