$\left(q+1\right)^2\frac{dc}{dq}=cq$

$\frac{dy}{dx}=e^y$

$7x+7+8-6x$

$g\left(x\right)=60\sqrt[4]{x^5}+20\sqrt[5]{x^2}+\sqrt{25}$

$3x^{\frac{3}{2}}-9x^{\frac{-1}{2}}+6x^{\frac{-1}{2}}$

$\left(2\sqrt{50}\right)-\left(3\sqrt{-8}\right)-3\sqrt{-8}$

$\int\:\:x\left(1-3x^2\right)dx$