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Given that $\alpha \beta \gamma = 6$, find the value of $abc$ for $a, b, c, d$ are positive integers and coprime satisfy these conditions:

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My mother, Toriel, has recently agreed to take consent on being the queen of monsters again after leaving the underground. But she plans to change her clothes to a more, …

Ann and Bob have an $8 \times 8$ checkerboard and take turns placing different-sized tiles on top of it so that the tiles are in line with the checkerboard grid …

Positive integers $a$, $b$, and $c$, where $0 < a < 100$ and $0 < b < 100$, are such that

$\large \frac{a+b}{a} = c^{3}$

What is the largest value …

Suppose the set $S=\{ cat,dog,potato\}$, when equipped with a binary operation $\cdot$, forms a group.

You know that $dog \cdot dog = potato$.

What is $cat \cdot dog$ ?

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