$\lim_{x\to\infty}\left(\frac{x^2+x}{x^2+5x+7}\right)$

$\lim_{x\to\frac{\pi}{2}}\left(6\cos\left(3x\right)\sec\left(7x\right)\right)$

$\int x\left(x^2-8x+12\right)dx$

$-24\cdot\left(-11\right)$

$2x\:+\:1\:<\:\frac{1}{2}\left(3x\:+\:4\right)$

$-6\left(4\right)\left(-0.5\right)$

$\left(5x^2y^3+8z\right)\left(8z-5x^2y^3\right)$