$y^4+8y^2+16y=0$

$\frac{9x^{3}+24x^{2}+13x+2}{3x+1}$

$\frac{dy}{dx}+\frac{2}{3}x=0$

$2\left(2\right)^2+4\left(2\right)-6$

$\frac{1}{\:16}\left(\left(2sinx\right)+\left(sin3x\right)-\left(sin5x\right)\right)=\left(cos^2x\right)\left(sin^3x\right)$

$\frac{dy}{dx}=x^3\cos\left(x\right)$

$10b-40ab^2$