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• 25 Let $a = \frac{1 + \sqrt{2009}}{2}$ . Find the value of $(a^3 - 503a - 500)^5$ .
• 17 How to calculate $ \left| \sin x \right| $ derivative in a more elegant way?
• 17 How large is the area that the bug can access?
• 13 Evaluate $\lim\limits_{n\to\infty}\frac{1\cdot3+2\cdot4+\dots+n(n+2)}{n^3}.$
• 13 How many subsets of $\{1,2,...,n\}$ do not contain three consecutive integers?
• 11 How to read and execute $\sum_{1 \leq \ell <m<n} \frac{1}{5^{\ell}3^{m}2^{n}}$
• 11 Calculate the determinant of $n^\text{th}$ order
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