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 2 Meaning of the expression $p^\alpha \mid \mid n$ 2 $\frac{1}{1}-\frac{1}{2}+\frac{1}{3}-…-\frac{1}{(p-1)}$=$\frac{a}{(p-1)!}$. Show that $a \equiv \frac{(2-2^p)}{p}$ (mod p) 2 $\frac{1}{5}n^5+\frac{1}{3}n^3+\frac{7}{15}n$ is an integer for every integer n. [duplicate] 2 For a group $G$ and $a_1,a_2,a_3\in G$, if $a_1a_2a_3=e$, then does it follow that $a_2a_3a_1=e$ and that $a_3a_2a_1=e$? 1 Number of solutions in quadratic congruence

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 0 Using only definition of derivative find $f'(a)$ when $f(x) = 2x^2 -5x + 1$

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