$f\left(x\right)=-5^3\sqrt{x}+\frac{1}{2x^2}-\frac{3}{x^4}$
$\frac{d}{dx}\frac{ax}{bx+a}$
$9\left(x^2+2x\right)-4\left(y^2+6y\right)=-9$
$\frac{d}{dx}\left(4-3e^x-e^{-3x\:}\right)$
$6xy+2yx+xy$
$\int\frac{7}{9}xdx$
$\frac{9-x^2}{5x-10}$
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