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Let $a$ be $-\frac{1}{6}$ and let $b$ be $\frac{1}{2}$. Let $x$ be the sum of the reciprocals of $a$ and $b$, let $y$ be the product of the reciprocals of $a$ and $b$, and let $z$ be twice the reciprocal of $a$ divided by the reciprocal of $b$. Calculate $x+y+z$.

 Sep 5, 2020
 #1
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aops problem

 Sep 5, 2020
 #2
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x + y + z = 4/5.

 Sep 5, 2020

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