$\lim_{x\to-\infty}\frac{\sqrt{2x^4-2x^3-1}}{2-3x^2}$

$\left(3a^3\right)^3-\left(7xy^1\right)^3$

$\left(2x^{2a-3}-3y^{4a+1}\right)^2$

$\int x^6\left(-x^7+11\right)^3dx$

$\int_0^x\left(arctan\left(x\right)\right)dx$

$+12-11-\left(-5\right)-13-7$

$\frac{d}{dx}x^3+xy^2=2y$