$\lim_{x\to1}\left(\frac{x^2+4x-5}{x^2-1}\right)$

$8a^3-4a^4$

$6t^2-7t-3$

$\int\frac{1}{z\left(z-1\right)\left(2-z\right)}dz$

$\lim_{x\to1}\left(\frac{1-x+ln\left(x\right)}{1+cos\left(7\pi x\right)}\right)$

$\frac{\left(csc\left(4x\right)-cot\left(4x\right)\right)}{\left(csc\left(4x\right)+cot\left(4x\right)\right)}$

$\frac{\left[2x-2\right]}{3}=\frac{\left[x+7\right]}{3}$