$6+\left(-11+5-4\right)-\left(8-3\right)$

$\frac{12x^2+7x-10}{x^2+5x-24}$

$\frac{dy}{dx}=\frac{\left(y^2\right)}{3\cdot\:\left(x-2\right)^3}$

$\lim_{x\to\infty}\left(\frac{x^3-1}{x^4+1}\right)$

$\int\left(e^{3\cdot x}\cdot cos\left(e^{3\cdot x}\right)\right)dx$

$\frac{18x^2-9x-8x^4+2}{4x^2+1}$

$\lim_{x\to2}\frac{\left(x^3+2x^2-8x\right)}{\left(x^3-8\right)}$