$\frac{1}{x}<\frac{1}{1-x}-2$
$\int\frac{5x^2-3x+1}{\left(x^2+1\right)\left(x-2\right)}dx$
$\sin\left(\tan+\cot\right)$
$x^2-54x+112$
$\int\frac{x^{2}-4}{x^{2}+3x+2}dx$
$\frac{5x^3+8^2-2x+1}{x^2+9x+8}$
$\lim_{x\to\infty}\left(\frac{\left(x+3\right)^2-9}{x}\right)$
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