Try To Solve This Problem Without Expanding

Algebra Level 3

If the expansion of \( (2x^3-3x^2+6x+11)(5x^2 - 9x+1) \) is \(ax^5+bx^4+cx^3+dx^2+ex+f \) for integers \(a,b,c,d,e,f\). What is the value of \(211a+65b+19c+5d+e+f\)?

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