$\frac{x^4+5x}{x^2-3x-1}$
$\left(x+4\right)\left(-x-5\right)$
$\frac{4x}{\left(x^2+4\right)^2}$
$\int\:\:x^3\sqrt{9x^2}dx$
$x^4+x^3-5x^2+3x$
$\int\frac{4-x}{x^2-4x-3}dx$
$\left(\frac{5\:-\:3\:x^3}{2}\right)^2$
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