5
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find $n$ if $n\cdot n! + n! = 720$, where $n! = n\cdot (n-1)\cdot (n-2)\cdots 2\cdot 1$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
5
Find $n$ if $n\cdot n! + n! = 720$, where $n! = n\cdot (n-1)\cdot (n-2)\cdots 2\cdot 1$.
train