{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"amc","formal_name":"AMC (AIMO validation set)","introduction":"83 AMC 12 problems assembled by Project Numina as a validation set for the AIMO competition. They sit a step below AIME in difficulty, which makes them a useful lower rung on the same scale.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/AI-MO/aimo-validation-amc","indexing_mode":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"87c24820-e114-53eb-a4c8-75be264f5d7f","task_key":"default--train--https~3a~2f~2fartofproblemsolving~2ecom~2fwiki~2findex~2ephp~2f2023~5fAMC~5f12B~5fProblems~2fProblem~5f12","task_revision_id":"2","upstream_id":"https://artofproblemsolving.com/wiki/index.php/2023_AMC_12B_Problems/Problem_12","short_description":"For complex number $u = a+bi$ and $v = c+di$ (where $i=\\sqrt{-1}$), define the…","config":"default","split":"train","body":"{\"problem\":\"For complex number $u = a+bi$ and $v = c+di$ (where $i=\\\\sqrt{-1}$), define the binary operation\\n$u \\\\otimes v = ac + bdi$\\nSuppose $z$ is a complex number such that $z\\\\otimes z = z^{2}+40$. What is $|z|^2$?\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/AI-MO/aimo-validation-amc","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}