$\left(sin\:\theta\:\:-\:cos\:\theta\:\right)^2-1=-2\:sin\:\theta\:\:cos\:\theta\:$

$\lim_{x\to1}\left(\frac{\:\:-2\:x\sin\left(x\pi\right)}{\pi\:\left(x^2\:-1\right)}\right)$

$5x-4<3x-7$

$\left(-3x^3+y^2\right)\left(2x^2+15x\right)\left(3x^2-5y\right)$

$\int x^4cos\left(x^5\right)\:dx$

$\frac{3x^5-x^2+x-2}{3x^3-1}$

$\frac{125x^3y^3-216m^3}{5x-6y}$