$\left(2x^6\right)^4$

$2mx+6\left(b^2+c^2\right)-4d^2;\:m=2;\:x=1;\:b=2;\:d=3;\:c=1$

$1-2\cdot sin^2\left(x\right)\cdot cos^2\left(x\right)-2\cdot sin^4\left(x\right)-cos\left(2x\right)$

$\frac{x+3}{x^2+x-6}$

$x+2x^3$

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

$\frac{\sin\left(x\right)-1}{1-\frac{1}{\sin\left(x\right)}}$