$log3\left(x+14\right)-log3\left(x+6\right)=log3\left(x\right)$

$\frac{dy}{dz}\left(y^{zy}+ln\left(\frac{y}{xz}\right)=\sqrt{3^{xy}+y}+y^x\right)$

$12x^2-7x+120$

$\left(x\:+\:4\right)\left(4\:-\:x\right)\:+\:\left(\:\sqrt{x}x\:+\:1\right)\left(\sqrt{x}\:-1\right)\left(x\:+\:1\right)$

$\frac{6x^3-11x^2+10x-13}{3x-4}$

$4bx\left(a^3+1\right)$

$\frac{dz}{dy}=zy,\:z\left(3\right)=0$