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Given that \(a,b,c\) are positive real numbers such that \(a+b+c \leq 9\), find the maximum value of

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Given a function \( f: \mathbb{R} \mapsto \mathbb{R} \) defined as

Given a triangle \(\triangle ABC\), points \(D, E\) lie on the line segment \(BC\) such that \(BD=CE\). Let \({\omega}_{1}, {\omega}_{2}\) be the circumcircles of ...

Two circles \(O_1 , O_2\) are tangent to each other at point \(A\) and has a common tangent \(L_1\) at points \(B , C\). Another line \(L_2\) is parellel to line ...

How to play: I give a number, you can use the operations \[ +, -, \times, \div\], powers, roots or factorials, or you can also join numbers to form bigger numbers. Use ALL ...

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