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 31 A very curious rational fraction that converges. What is the value? 23 How to show $e^{e^{e^{79}}}$ is not an integer 22 how to find the balls? 17 How to prove that $k^3+3k^2+2k$ is always divisible by $3$? 11 Find all polynomials $P$ such that $P(x^2+1)=P(x)^2+1$

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 -2 How to prove $\prod_{i=1}^{n}(x-4i+2)(x-4i+1)>\prod_{i=1}^{n}(x-4i+3)(x-4i)$ for all $x\in\mathbb{R}$? +10 Combinatorics on the word Abracadabra +20 Two randomly chosen coprime integers +15 what is the dimension of the image of linear mapping $L(u,v,w)=(u-v,v-w,w-u)$?

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 3 find all positive integers satisfying $2x^2 - y^{14} = 1$

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 55 polynomials × 17 38 sequences-and-series × 6 45 elementary-number-theory × 16 33 number-theory × 8 45 real-analysis × 10 31 limits × 2 41 analysis × 3 31 trigonometry 40 algebra-precalculus × 22 28 combinatorics × 13

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