$\int x^2\cos\left(2x^3\right)\sec\left(2x^3\right)dx$

$\frac{3x^3-5x^2+17x-18}{x-2}$

$\frac{\left(x+\sqrt{x}\right)dy}{dx}=1+y$

$12x+24$

$\:\left(-8a^{5\:}b^3c\right)^2$

$3\left(3x^2+2x-\sin\left(\frac{x}{2}\right)\right)^2+2\left(3x^2+2x-\sin\:\left(\frac{x}{2}\right)\right)$

$3\left(12f-9\right)$