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\[\large\dfrac{d^2}{dx^2}(x^2)^{e^{2}}=?\]

There are 5 neighbors living on a straight road, one of whom needs to host a party. If the distances between neighboring houses are as written, who should host the ...

\[\large \begin{cases} abc = -1 \\ a+b+c=-3 \\ \dfrac{1}{a} + \dfrac{1}{b} + \dfrac{1}{c} = -3 \end{cases} \]

How many ordered triples \( (a,b,c) \) of reals ...

Let \(x\) \(y\) and \(z\) all exceed 1, and let \(w\) be a positive number such that \(\log_x w = 24\), \(\log_y w = 40\) and \(\log_{xyz} w = 12 \).

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