$\cos^4\left(a\right)-sin^4\left(a\right)$

$6x\:-\:\left(4\:+\:3x\right)\:<\:2x\:+4$

$\frac{\left(4x^2\:yz^{-1}\right)^{-10}}{\left(1024x^6\:y^5\:z^{-4}\right)^{-2}}$

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

$\lim_{x\to0\:}\log_{tan\:x}\left(tan\:2x\right)$

$\int\left(2x^3\cdot\left(x^3-1\right)^3\right)dx$

$2\sin^{4}x-3\sin^{2}x+1=0$