$\frac{2}{x-7}=\frac{9}{x+7}$

$\frac{1}{x^4-3x^2-4}$

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

$\left(a^2\:x\:b^3\right)^5$

$\lim_{t\to0}\left(-\frac{2\left(\left(t^2-2t+2\right)\:e^t-e^4\:t\right)}{\left(15t^3\:\right)}\right)$

$\left(4x^5-y^2\right)^2$

$\int\left(\frac{x+5}{x^2+4x+6}\:\right)dx$