$y'\left(t\right)csc\left(t\right)=\frac{-y^{19}}{18}$

$16m^4-40m^2n^2+25n^4$

$2cosx-sen^2x-1$

$\int\left(\frac{x^3+\frac{9}{2}x^2-\frac{29}{3}x-1}{2x-3}\right)dx$

$x^2-5x+6\ge0$

$\frac{d}{dx}\left(\arctan\left(6x^3+4\right)\right)$

$\lim_{x\to\infty}\sqrt[3]{\frac{5+64x^5}{x^5+4}}$