$\lim_{x\to\infty}\left(\frac{7^x-2^x}{2x}\right)$

$\frac{d^3}{dx^3}\left(3x^5-2x^{-3}+5x\right)$

$\frac{-x^3+24x-5x}{x+5}$

$\csc\left(y\right)dx+2y\sec^2\left(x\right)dy=0$

$-x^2+13x+12$

$\int3e^x+5\cos\left(x\right)-10\sec^2\left(x\right)dx$

$\sqrt{a^2}\cdot b^2\cdot\sqrt{a^4}\cdot b$