$-4=2x-14$

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

$x^{\frac{1}{2}}-\frac{x^{\frac{1}{2}}}{2}$

$\frac{x^{-4}x^{-4}y^{-8}}{y^6}$

$\left(3x^3-\frac{1}{2}x^2+2x-1\right)+\:\left(-\frac{1}{4}+2x^2-5x^3\right)$

$8x^3-27y^6$

$\int\frac{-2x^4-2}{x^2\left(x^4-1\right)}dx$