# Based on Base 10

Algebra Level 3

Let $$g(x) = (a - 6d)x^5 + (b - 6e)x^4 + (c - 6f)x^3 + (d - 6a)x^2 + (e - 6b)x + f - 6c$$, where a, b, c, d, e and f are single-digit natural numbers. If g(10) = 0 then find a, b, c, d , e and f and enter their sum as the answer.

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