$\left(\frac{3}{4}x^{\frac{-2}{3}}-\frac{1}{3}y^{\frac{-1}{2}}\right)^3$

$\log\left(7\right)^0$

$4x^2+2x-15=0$

$\log\left(5x+8\right)+\log\left(3x-4\right)-\log\left(5x+2\right)=\log\left(3x+4\right)$

$\frac{dx}{dy}=2x+y$

$\frac{\cot\left(-a\right)+\tan\left(-a\right)}{\cot\left(a\right)}=-\sec\left(a\right)$

$\frac{sin\left(x\right)}{csc\left(x\right)-cos\left(x\right)}$