502
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Simplify the product \[\frac{8}{4}\cdot\frac{12}{8}\cdot\frac{16}{12} \dotsm \frac{4n+4}{4n} \dotsm \frac{2008}{2004}.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
502
Simplify the product \[\frac{8}{4}\cdot\frac{12}{8}\cdot\frac{16}{12} \dotsm \frac{4n+4}{4n} \dotsm \frac{2008}{2004}.\]
train