$\log_{64}\left(x^{\frac{2}{3}}\right)$

$\lim_{x\to-1}\left(\frac{2x^4+8x^3+6x+12}{x+1}\right)$

$\frac{dx}{dt}=\frac{2t}{t^2+2}\left(x+1\right)$

$36\left(x-y\right)^2-16\left(x+y\right)^2$

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

$\cos^2\left(x\right)+\frac{1}{2}cos2x=1$

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