$-2x^3+7x^2-3x-12$

$\int\frac{x^3+x^{\frac{7}{3}}+x^2}{\sqrt[3]{x}}dx$

$\frac{8x^5-14x^4-5x^3}{2x^2-5x+3}$

$\frac{d}{dx}\left(\left(x+3\right)^4\left(4x-9\right)^3\right)$

$2\ln\left(3x\right)-3\ln\left(y\right)$

$2\cos^2\left(x\right)=2\cos\left(2x\right)+1$