$\cos\left(x\right)+6\sin\left(2x\right)=0$

$8\left(1\:+\:5n\right)\:=\:-312$

$2y^2=100$

$-2x^{-3}y^4\left(2x^{-4}y^{-4}-2x^3y^{-3}\right)$

$5x^4y-x^5y^2-3x^2z\cdot x^5y^2-3x^2z$

$\frac{d^2}{dx^2}\left(g\left(u.v\right)=\:-e^{3u.v}\right)$

$\left(\frac{7}{2}t+\frac{5}{4}\right)\left(\frac{7}{2}t-\frac{5}{4}\right)$