Compute
\[\sum_{k = 2}^\infty \frac{k - 3}{k(k^2 - 1)}.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Compute
\[\sum_{k = 2}^\infty \frac{k - 3}{k(k^2 - 1)}.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
0
Compute
\[\sum_{k = 2}^\infty \frac{k - 3}{k(k^2 - 1)}.\]
train