$\lim_{x\to0}\left(\frac{x\cdot\sin\left(x-1\right)-\ln\left(x\right)}{\ln\left(x\right)\cdot\sin\left(x-1\right)}\right)$

$4\sqrt{27}-2\sqrt{12}-\sqrt{75}$

$\lim_{t\to-1}\left(\frac{ln\left(3+2t\right)}{t+1}\right)$

$\frac{d}{dx}\left(x-2y^2\right)^3+x=y$

$-2x\ge-8$

$\left|\left(x+y\right)+3\right|\left|\left(x+y\right)^2\:-3\left(x+y\right)+9\right|$