$\frac{\tan\left(x\right)^2+\cot\left(x\right)^2+2}{\tan\left(x\right)+\cot\left(x\right)}$

$\log_a\left(\frac{m}{n}\right)=\frac{1}{7}\left(5\left(\log_a\left(\frac{m}{n^2}\right)\right)+\left(\log_a\left(m^2+n^3\right)\right)\right)$

$2\cos^2x+\cos\:x-1$

$\lim_{x\to0}\frac{e^{2x}-e^{3x}}{\tan\left(x\right)}$

$\frac{8x^3+14x^2+13x+17}{2x+3}$

$5^{x-2}=5^{7x-8}$

$9ab-3xy-15ab+8xy-5ab+4xy$