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An arithmetic sequence \(a_1, a_2, a_3, \ldots, a_{1111}\) with common difference \(d\) is given. It is known that \(11a_{111} = a_{1111}\). Find the value of ...

It is given that \(a\), \(b\), and \(c\) are nonzero real numbers such that

\[(a+b)^2 = (b+c)^2 = (c+a)^2\]

Find the product of all possible distinct ...

\(x_1 , x_2 , x_3 , x_4\) and \(x_5\) are positive integers such that

...

Find the remainder when the number 109109109109109109109109 is divided by 999.

Try not to brute force divide it

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