$8cos\left(x\right)\left(e^{2y}-ye^y\right)\left(\frac{dy}{dx}\right)=6e^ysin\left(2x\right)$

$\log\left(x\right)=\log\left(3\right)+2\log\left(5\right)$

$\frac{dy}{dx}=\frac{\cos\left(x\right)}{3y^2}$

$\left(3xy^2z-3x^2yz+xy-3\right)-\left(-2xy^2z-x^2yz-yz-3\right)$

$\left(3z-2\right)\left(2z-1\right)$

$\sec\left(x\right)^2+\cos\left(-0.5\right)^2=1$

$-2\left(\frac{1}{2}x+5\right)-3\left(2+x\right)\left(x-2\right)+3x^2$