$\frac{dy}{dx}=\frac{-5x}{ye^{x^2}}$

$12\sqrt[3]{x+15}=36$

$\lim_{b\to\infty}\left(\frac{e^{-b}}{\left(1+e^{-b}\right)^2}\right)$

$\frac{1}{2}\left(2t\left(12t+1\right)\right)$

$4u+3u+5g-1u+7g$

$\lim_{x\to2}\left(\frac{\left(\sqrt{3x^2-x+6}\right)}{\sin\left(\pi x\right)+\cos\left(\pi x\right)}\right)$

$\int e^t\cot\left(e^t-5\right)dt$