Evaluate
\[\prod_{n = 1}^{2004} \frac{n^2 + 2n - 1}{n^2 + n + \sqrt{2} - 2}.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Evaluate
\[\prod_{n = 1}^{2004} \frac{n^2 + 2n - 1}{n^2 + n + \sqrt{2} - 2}.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
2004 \sqrt{2} - 2003
Evaluate
\[\prod_{n = 1}^{2004} \frac{n^2 + 2n - 1}{n^2 + n + \sqrt{2} - 2}.\]
train