# KVPY #12

Algebra Level 4

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

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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