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37	Do factorials really grow faster than exponential functions?
8	Show that $x^4-10x^2+1$ is reducible over $\mathbb{Q}(\sqrt{6}), \mathbb{Q}(\sqrt{2}),$ and $\mathbb{Q}(\sqrt{3})$. Is there an easier method?
8	Find the integer closest to $\ln(2013)$
7	How can I prove that $xy\leq x^2+y^2$?
7	Diophantine equation $x^2 + 32x = y^3$

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+40	Do factorials really grow faster than exponential functions?
+10	How can I prove that $xy\leq x^2+y^2$?
+25	How show that $\dfrac{a^3}{3}\ge\int_{0}^{a}\|F(x)-x\|^2dx$
+10	If $\frac{1}{2}<a_j<1$ for $j=1,2,\ldots,n$, show that $(1-a_1)(1-a_2)\cdots (1-a_n)>1-\left(a_1+\frac{a_2}{2}+\cdots+\frac{a_n}{2^{n-1}}\right)$

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37 exponential-function	14 diophantine-equations × 3
37 factorial	13 number-theory × 4
30 inequality × 11	11 elliptic-curves × 2
18 real-analysis × 5	9 calculus × 4
15 algebra-precalculus × 5	8 contest-math

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