solution: Begin by distributing in the innermost parentheses: \begin{align*}
  &\ \ \ \ x\left(x(1+x)+2x\right)-3(x^2-x+2) \\&= x(x+x^2+2x) - 3(x^2-x+2)
  \end{align*} Now, distribute again: \begin{align*}
  x^2+x^3+2x^2-3x^2+3x-6
  \end{align*} Finally, combine like terms to get \begin{align*}
  \boxed{x^3+3x-6}
  \end{align*}
prompt.content: <|im_start|>system
  You are a helpful assistant.<|im_end|>
  <|im_start|>user
  Expand and simplify completely: \begin{align*}
  x\left(x(1+x)+2x\right)-3(x^2-x+2)
  \end{align*}
  Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
  <|im_start|>assistant
  
prompt.role: user
extra_info.answer: x^3+3x-6
extra_info.question: Expand and simplify completely: \begin{align*}
  x\left(x(1+x)+2x\right)-3(x^2-x+2)
  \end{align*}
extra_info.split: test