$x^2-9+3\left(x+3\right)\left(-4x-1\right)$

$3x^2+13x-10=x+5$

$\left(4x^5-\frac{1}{2}\right)\left(4x^5+\frac{1}{2}\right)$

$\frac{dy}{dx}+y-x^2=0$

$\int\left(\cos\left(4x\right)e^{sin\left(4x\right)}\right)dx$

$\sin a\cdot\tan a+\cos a=\frac{1}{\cos a}$

$\lim\:_{x\to\:0}\left(2^x+x\right)^{\frac{1}{x}}+\lim\:_{x\to\:0}\left(\frac{cosx-1}{x}\right)$