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• 16 A month for Olympiad-level geometry.
• 15 Integrate $\frac{R}{4 \pi^2}\int_{-\pi}^{\pi}\int_{-\pi}^{\pi} \frac{1-\cos(mx+ny)}{2-(\cos x + \cos y)} dx dy $
• 13 Chess rook tour of 64 moves
• 11 Solving functional equation $f(4x)-f(3x)=2x$
• 11 Prove that $\frac{2^{122}+1}{5}$ is a composite number
• 10 Prove that $abc$ is a cube of some integer.
• 7 Solving a functional equation $f(x)+f\left(\frac{1}{1-x}\right)=x$
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