Find the polynomial $p(x)$ if
$$(x^2-3x+5)p(x) = x^4-3x^3+15x-25.$$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the polynomial $p(x)$ if
$$(x^2-3x+5)p(x) = x^4-3x^3+15x-25.$$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
x^2-5
Find the polynomial $p(x)$ if
$$(x^2-3x+5)p(x) = x^4-3x^3+15x-25.$$
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