Find the minimum value of $x(x + 1)(x + 2)(x + 3),$ over all real numbers $x.$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the minimum value of $x(x + 1)(x + 2)(x + 3),$ over all real numbers $x.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-1
Find the minimum value of $x(x + 1)(x + 2)(x + 3),$ over all real numbers $x.$
train