$\int\frac{-16e^x-60}{e^{2x}+8e^x+15}dx$

$x\:siny+\left(x^2+y^2\right)^2+4e^y-3$

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

$\frac{\tan\left(x\right)-\csc\left(x\right)}{\csc\left(x\right)\tan\left(x\right)}$

$\frac{27^{19}}{27^8}$

$27+144n^2-64n^2-108n$

$\lim_{x\to2}\frac{-\left(x^2-4\right)}{x-2}$