$a^7b^3c^4:\:a^3b^2c$
$x^2+x+8$
$x^2-4x-7x+6+3x-5$
$2\sin^2z-3\cos z$
$\lim_{x\to1}\left(\frac{x^3-3x+2}{\left(x-1\right)^2}\right)$
$\frac{dy}{dt}\left(y=\frac{\sqrt{\sin\left(t\right)\cos\left(t\right)}}{6+5ln\left(t\right)}\right)$
$\left(8m^{12}-n^{15}\right)$
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