$$f(t)=36t^{5}+74t^{4}-35t^{3}+13t^{2}t$$
$2\left(18t^{2}+37t-11\right)t^{3}$
$$36t^{5}+74t^{4}-35t^{3}+13t^{3}$$
$$36t^{5}+74t^{4}-22t^{3}$$
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$36\left(t-\frac{-\sqrt{2161}-37}{36}\right)\left(t-\frac{\sqrt{2161}-37}{36}\right)t^{3}$
