$\frac{dy}{dx}=10x+3\sqrt{x}$

$\cos\left(2x\right)\sin\left(x\right)+\sin\left(x\right)=0$

$\frac{dp}{dt}=2p^2-70p+500$

$\left(x-1\right)\cdot\left(x-8\right)\cdot\left(x+1\right)$

$\int\frac{x^3+2x+3}{\left(x+2\right)\left(x+1\right)}dx$

$\frac{4x^2-24x+15}{x-5}$

$\frac{4x^3+0x^2+9x-5}{2x-1}$