$y^'^'-y=\frac{1}{x}$

$\int\left(\frac{-6\left(\ln\left(x\right)\right)}{x}\right)dx$

$\frac{d}{dx}x^{-1}+\frac{1}{15}x^2-\frac{1}{6}x$

$cos^2x+\frac{1}{2}sinx-\frac{1}{2}=0$

$\left(n-3\right)x^2+\left(2n-5\right)x+\left(3n-1\right)=0$

$x^2\:+\:12x\:+27$

$\left(m+p+5\right)\left(m+p-5\right)$