Let $a,$ $b,$ $c$ be the roots of $x^3 + 2x^2 + 5x + 7 = 0.$  Compute
\[\frac{1}{a} + \frac{1}{b} + \frac{1}{c}.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $a,$ $b,$ $c$ be the roots of $x^3 + 2x^2 + 5x + 7 = 0.$  Compute
\[\frac{1}{a} + \frac{1}{b} + \frac{1}{c}.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-\frac{5}{7}
Let $a,$ $b,$ $c$ be the roots of $x^3 + 2x^2 + 5x + 7 = 0.$  Compute
\[\frac{1}{a} + \frac{1}{b} + \frac{1}{c}.\]
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