• h0pe
There is a single sequence of integers $$a_2, a_3, a_4, a_5, a_6, a_7$$ such that $\frac{5}{7} = \frac{a_2}{2!} + \frac{a_3}{3!} + \frac{a_4}{4!} + \frac{a_5}{5!} + \frac{a_6}{6!} + \frac{a_7}{7!},$ and $$0 \le a_i < i$$ for $$i = 2, 3, \dots 7$$. Find $$a_2 + a_3 + a_4 + a_5 + a_6 + a_7$$.
Mathematics

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