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$\frac{2-x^{5}}{1-x}$
Rational
Not Rational

$\frac{2-5^{x}}{1-x}$
Rational
Not Rational

$\frac{2-x^{x}}{1-x}$
Rational
Not Rational

$\frac{1}{x^{3}}+\frac{2-x^{5}}{1-x}$
Rational
Not Rational

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