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

$\lim_{x\to\infty}-\left(x^x\right)$

$cos3\left(x\right)+sin2\left(x\right)cos\left(x\right)$

$\int7a\left(x^4+2x^2-5\right)dx$

$\ln x\:-\:3\:ln\:z\:+2ln\:y-\frac{1}{2}ln\:w$

$6a^2b^2+9ab^2c-12ab^2$