$log\left(y-6\right)-log\left(y-4\right)$
$\int\left(\frac{x^3+11}{x^2+4x+3}\right)dx$
$6\left(2x+3\right)$
$\frac{8x^3-27y^3}{2x-3y}$
$\frac{3sin\left(4x\right)}{sin\left(3x\right)}$
$\lim_{x\to0}4x^2\ln\left(x\right)$
$\int\frac{2x-3}{\left(x+3\right)^2}dx$
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