Task 283
Task 283: test task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. If $a,$ $b,$ and $c$ are real numbers such that $a + b + c = 4$ and $\frac{1}{a} + \frac{1}{b} + \frac{1}{c} = 5,$ find the value of \ \frac{a}{b} + \frac{b}{a} + \frac{a}{c} + \frac{c}{a} + \frac{b}{c} +…
The task
If $a,$ $b,$ and $c$ are real numbers such that $a + b + c = 4$ and $\frac{1}{a} + \frac{1}{b} + \frac{1}{c} = 5,$ find the value of \[\frac{a}{b} + \frac{b}{a} + \frac{a}{c} + \frac{c}{a} + \frac{b}{c} + \frac{c}{b}.\]