$\lim_{x\to\infty}\left(\frac{3x^4+6x^3}{2x^3+3x}\right)$

$6x\:-\:9y\:-\:7x$

$2x+22+2x+12+2x+12+2x+20+2x+24$

$\left(2b^2c-3b+6c\right)+\left(4b-c^2b+12b^2c\right)$

$\frac{y:81}{43}$

$\int\frac{4x^2}{x\left(x-1\right)\left(x-2\right)}dx$

$\frac{1}{2}\log\left(z\right)+\frac{3}{2}\log\left(y\right)-2\log\left(z+6\right)$