$\frac{dy}{dx}=\frac{7x^2}{2y}$

$\int\sqrt[3]{20+3x^{3}}\left(x^{2}\right)dx$

$\left(-10\right)-\left(-2\right)$

$8ac\:-\:4ad\:-\:6bc\:+\:3bd$

$\lim_{x\to1}\left(\ln\left(x-1\right)\right)^{\ln\left(x\right)}$

$\frac{d^3}{dx^3}\left(-\frac{3}{2}x^2+x^{-4}-3x^{-1}-\frac{5}{3}x^3\right)$

$9x^2+12x-4$