\[ 6x^{5} + 5x^{3} + x^{2} + 4x-1 = a(x-1)^{5} + b(x-1)^{4}+ c(x-1)^{3}+ d(x-1)^{2} + e(x-1) +f\]

The equation above is an identity for constants \(a,b,c,d,e,f\).

What is the value of \(a + 2b + 3c + 4d + 5e + 6f? \)

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