$-\left(+5-9-\left(-1-6-9\right)-2+3\right)-7$

$4a^2+7bc+9c-23a^2$

$\lim_{x\to27}\left(\frac{3\left(x-2\right)\left(x-27\right)}{5\left(3-x^{\frac{1}{3}}\right)}\right)$

$cos\left(\frac{4\sqrt{2}}{7}\right)=sin\left(x\right)$

$\left(5+x^2\right)\frac{dy}{dx}=\frac{x}{y}$

$\int\frac{8-10w^2-w^3}{8w+2w^2-w^3}dw$

$-30x^2+13x+10$