Let P(x)=x4+ax3+bx2+cx+dP(x) = x^4 + ax^3 + bx^2 + cx + dP(x)=x4+ax3+bx2+cx+d be a polynomial such that P(1)=2,P(2)=5,P(3)=10,P(1) = 2, P(2) = 5, P(3) = 10,P(1)=2,P(2)=5,P(3)=10, and P(4)=17P(4) = 17P(4)=17. Find P(5)P(5)P(5).
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32