$\frac{sin\left(x\right)-tan\left(x\right)}{-2tan\left(x\right)}=\sin^2\left(x\right)$

$\int\frac{6t+6}{\left(t^2+t+1\right)^2}dx$

$\frac{\frac{\sin\left(x\right)+\sin\left(x\right)\cos\left(x\right)}{\cos\left(x\right)}}{\sin\left(x\right)}=1+\sec\left(x\right)$

$-3x^2+3y$

$\lim_{x\to27}\left(\sqrt[3]{x}\right)$

$\frac{1}{2}m+\frac{1}{3}m+\frac{1}{4}m+\frac{1}{6}m$

$xy^2\left(2x^2-3xy\right)$