$\left(\frac{\left(a^2b\right)}{\left(ac\right)^2}\right)\cdot\left(\frac{b}{c}\right)^3\cdot\frac{c^3}{b^2}$

$\frac{x+6}{x-4}-\frac{30}{x^2-5x+4}=\frac{3}{x-1}$

$\frac{2}{x-1}-\frac{1}{4}=\frac{3}{x+1}$

$\frac{d}{dx}\left(x^2-4xy+y^2\right)=4$

$x^2+x^2y$

$\int\left(13csc^2\left(x\right)\right)dx$

$\int\left(e^t\sin\left(6t\right)\right)dt$