Find the number of vertical asymptotes in the graph of
\[y = \frac{(x + 8) (x + 5)^2 (x + 1)^3 x^5 (x - 3)^2}{(x + 7) (x + 5)^2 (x + 1) x (x - 3)^3 (x - 4)}.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the number of vertical asymptotes in the graph of
\[y = \frac{(x + 8) (x + 5)^2 (x + 1)^3 x^5 (x - 3)^2}{(x + 7) (x + 5)^2 (x + 1) x (x - 3)^3 (x - 4)}.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
3
Find the number of vertical asymptotes in the graph of
\[y = \frac{(x + 8) (x + 5)^2 (x + 1)^3 x^5 (x - 3)^2}{(x + 7) (x + 5)^2 (x + 1) x (x - 3)^3 (x - 4)}.\]
train