find the coefficient of $x^{32}$ in $\left(1+x+x^{2}+\ldots+x^{12}\right)^{5}$. is there some thick for this question? because It’s busy to calculate by multiple polynomial 5 times and get the answer. and all I know is the coefficient of $x^{n}$ is equal to the coefficient of $x^{60-n}$
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