$\frac{dy}{dx}-3y=xe^{3x},\:y\left(0\right)=4$

$-x^3-15x^2-15x-125$

$\lim_{x\to100}\left(\frac{x\ln\left(x+1\right)}{x^2+1}\right)$

$\left(3y+1\right)\left(2y+5\right)$

$\frac{\left(3^4\cdot\:\:5\cdot\:\:3^3\cdot\:\:9^3\right)}{\left(5\cdot\:\:3^4\cdot\:\:9^2\right)}^3$

$f\left(x\right)=\frac{4\sqrt{x^3}}{3}-\frac{\sqrt{x}}{3}$

$\frac{2a\cdot\left(4b+6c\right)}{\left(6c-2a\right)\cdot2a}$