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- 7 Solve in positive integers $\frac{x^{2}}{y}+\frac{y^{2}}{x}=9$
- 7 If $x+y=10^{200}$ then prove that 50 divides $x$
- 6 Do there exist several positive real numbers such that their sum is $1$ and sum of their squares is less than $0.01$
- 6 How many order triple (a,b,c) are there such that $a.b.c \le 1000$
- 5 Inequalities in Polynomial
- 5 If $a^{2}+84a+2008=b^{2}$ what is $a+b$
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