$12m^3n^3\:-\:18\:m^2n^2\:-\:24m^4n^4\:$

$6\tan\left(x\right)-3=\tan\left(x\right)-8$

$\left(5y+\frac{1}{2}\right)^3$

$-a^2-10a+25$

$\frac{dy}{dx}+\sin\left(x\right)\cos\left(x\right)=0$

$\frac{x^4-1}{x^3-x^21}$

$\lim_{x\to\infty}\frac{\sqrt[2]{b^2-x}\:+\sqrt[2]{b^2-a}}{x-a}$