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Familiarize yourself with the foundational notation, tools and concepts for the operations that are applied to sets.

Given the sets \(A = \{2, 20, 22, 5, 13\}\) and \(B = \{6, 9, 20, 12, 22\}\), what is the sum of all the elements in \(A \cup B\)?

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Given the sets \(A = \{17, 29, 65, 1, 19\}\) and \(B = \{3, 9, 29, 101, 65\}\), what is the sum of all the elements in \(A \cap B\)?

**Details and assumptions**

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If \[\begin{align} A &= \{x \mid x \text{ is any positive factor of } 52\} \\ B &= \{x \mid x \text{ is any positive factor of } 338\}, \end{align} \]

what is \(A \cap B?\)

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