$\left(y^2+2xy+3x^2\right)dx+\left(2xy+x^2+3y^2\right)dy=0$

$1+\sin\left(x\right)^2=1$

$\frac{3\sin\left(4x\right)}{\sin\left(x\right)}=12\cos\left(x\right)\cos\left(2x\right)$

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

$\frac{dy}{dx}=\:\:\sin\left(5x\right)\cos\left(5x\right)$

$3\left(k+5m\right)$

$9y+27$