$sin\left(t\right)=\frac{\sqrt{7}}{6}$

$\sqrt{6\cdot\left(-3\right)+3+\left(-4\right)\cdot\left(-6\right)-\sqrt{2^4+9}+2^1}$

$4dx+e^{3x}dy=0$

$\int\frac{mx+2n}{m^2x^2+4n^2}dx$

$16x^3y^2-8x^2y-24^4y^4-40x^2y^3$

$\frac{e^xdy}{dx}=2x$

$\left(\frac{1}{x}+\frac{1}{x^8}\right)\left(5x^9+8\right)$