$2x^5+3x^4-4x^3-5x^2+3x+7.x-\frac{1}{2}$

$3a^2b+9bc^2+15ab$

$\int\frac{5x-10}{\left(x+3\right)\left(x^2+4x+5\right)}dx$

$f\left(x\right)=\frac{\left(x^2-25\right)}{x+5}$

$\left(a\cdot b^2\right)^3\cdot\left(a^2\cdot b\right)^4$

$\frac{dy}{dx}=\sec^2x\tan\left(y\right)$

$6\:\int\:x^{-2}dx$