If the lines given by $3 x + 2 k y = 2$ and $2 x + 5 y + 1 = 0$ are parallel, what is the value of $k$ ?

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If two positive integers $a$ and $b$ are written as $a = x^{3} y^{2}$ and $b = x y^{3}$ , where $x$ and $y$ are prime numbers, what is the…
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