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Do there exist operations that can be performed to make this equation true?

Note: Any operations can be used, so get creative!

True or False?

For any integer \(n>3\), the last digit of \[\large 2^{1\times 2\times 3\times \cdots \times n}\] is always 6.

\[ \large \sum_{\text{cyc}(a,b,c)} \dfrac{a^3+b^3}{a+2b} \]

Given that \(a,b\) and \(c\) are positive numbers satisfying ...

\[ \large {\begin{cases} x+y+z&=15 \\ xy+yz+xz&=72 \end{cases} } \]

Let \(x,y,\) and \(z\) be real numbers satisfying the system of equations above.

Find the possible ...

Hello fellow Brilliantians!

As most of you know, the IMO is one of the biggest and most famous of all international Maths Olympiads. Following are the problems which appeared in ...

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