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Find the cubic equation: f(x)=ax^3+bx^2+cx+d for which f(-1)=3, f(1)=1, f(2)=6, and f(3)=7.

Find the cubic equation:

f(x)=ax^3+bx^2+cx+d

for which f(-1)=3, f(1)=1, f(2)=6, and f(3)=7.

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