$t+sin\left(t\right)cos\left(t\right)-tcos^2\left(t\right)-tsin^2\left(t\right)-sin\left(t\right)cos\left(t\right)$

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

$\frac{5x-1}{2}+\frac{x-2}{3}\ge6$

$\lim_{x\to3}\frac{9-x^2}{\cos\left(\frac{\pi}{2}x\right)}$

$3\:a\:m+6\:a\:m$

$x^3+6x^2-32$

$\lim_{x\to\infty}\left(\frac{x^2+2x+1}{2x^2-3x+1}\right)^{\frac{-1}{3x}}$