solution: Note that $|x^2 - 81| \ge 0$ for all $x,$ with $|x^2 - 81| = 0$ only for $x = \pm 9.$
  
  The denominator factors as $x(x - 36).$  This is negative only for $0 < x < 36.$  Thus, the solution is
  \[x \in \boxed{(0,9) \cup (9,36)}.\]
prompt.content: <|im_start|>system
  You are a helpful assistant.<|im_end|>
  <|im_start|>user
  Solve
  \[\frac{|x^2 - 81|}{x^2 - 36x} < 0.\]
  Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
  <|im_start|>assistant
  
prompt.role: user
extra_info.answer: (0,9) \cup (9,36)
extra_info.question: Solve
  \[\frac{|x^2 - 81|}{x^2 - 36x} < 0.\]
extra_info.split: test