solution: Factoring the first two terms, we have:
  
  $99^2+99+1=99(99+1)+1=99\cdot 100+1=9900+1=\boxed{9901}$.
prompt.content: <|im_start|>system
  You are a helpful assistant.<|im_end|>
  <|im_start|>user
  Compute $99^2+99+1$ in your head.
  Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
  <|im_start|>assistant
  
prompt.role: user
extra_info.answer: 9901
extra_info.question: Compute $99^2+99+1$ in your head.
extra_info.split: test