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- 19 Solutions to $a,\ b,\ c,\ \frac{a}{b}+\frac{b}{c}+\frac{c}{a},\ \frac{b}{a} + \frac{c}{b} + \frac{a}{c} \in \mathbb{Z}$
- 15 A circle tangent to an ellipse
- 12 Let $S(n)$ be the sum of the digits of a number $n$. Solve $n+S(n)+S(S(n))=1993$
- 12 If two sets $A$ and $B$ have equal power sets, can we conclude that $A=B$?
- 12 If $AB\parallel DC$, $BC\parallel AD$, and $AC\parallel DQ$, find $\Bbb X$ in terms of the areas $\Bbb A$, $\Bbb B$, and $\Bbb C$.
- 11 Find the missing angle in triangle
- 11 Japanese theorem for cyclic quadrilaterals Proof Inversion
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