$-3-\left(-\left(4+5-7\right)+\left(-2+3-4\right)\right)$

$\left(x-\frac{1}{2}\right)\left(x-5\right)$

$\frac{d}{dx}\left(2x^2sinx\right)^{4x}$

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

$\lim_{x\to0}\left(\frac{\sin\left(x\right)}{x^2}\right)^{\frac{1}{x^2}}$

$\frac{dy}{dx}\left(\left(2y+1\right)^3-24x=-3\right)$

$\frac{\cot\left(a\right)^2-1}{2\cot\left(a\right)}=\cot\left(2a\right)$