solution: We note that this is a difference of squares, so $513^2 - 487^2 = (513+487)(513-487) = (1000)(26) = \boxed{26000}$.
prompt.content: <|im_start|>system
  You are a helpful assistant.<|im_end|>
  <|im_start|>user
  What is the value of $513^2 - 487^2$?
  Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
  <|im_start|>assistant
  
prompt.role: user
extra_info.answer: 26000
extra_info.question: What is the value of $513^2 - 487^2$?
extra_info.split: test