$\left(\frac{2}{3}x^2+\frac{5}{2}y^3\right)^2$

$3x^3+5x^2+2x=0$

$2\ln\left(x\right)-\ln\left(x+6\right)=3\ln\left(2\right)$

$\frac{x^3}{\left(x^2+1\right)^2}$

$\log_a\left(r^2\right)-5\log_a\left(r\right)+\log_a\left(t\right)$

$\lim_{x\to5}\left(4\left(x-5\right)\right)^{x-5}$

$dy=\left(x-4xy\right)dx$