The polynomial \( p(x) = 2x^4 + bx^3 + cx^2 + dx + e \) has coefficients that are all integers, and has roots \( -1, 2, 3, \) and \( 3/2 \). If \( e \) is a positive integer, then find its smallest possible value. Let's think step by step and output the final answer within \boxed{}.
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