$15c^4d^5f^3-20c^2df^3+30c^5d^3f^7g^6$

$-y^2dv+y\sqrt{v}dy=0$

$\frac{16x^2+24x+16}{x-4}$

$\int_{-4}^4\left(-4x\right)dx$

$\log\left(3x-4\right)-log\left(2x+1\right)=log\left(2x-1\right)-log\left(3x+4\right)$

$\frac{d^2}{dx^2}\left(\frac{c}{x^n}\right)$

$\frac{2x^6+4x^5+6x-4x^3}{2x}$