Again a polynomial

Algebra Level 5

A monic polynomial \(p(x)\) of degree 6 leaves the remainder:-

3 when divided by \(x-1\)

9 when divided by \(x-2\)

19 when divided by \(x-3\)

33 when divided by \(x-4\)

51 when divided by \(x-5\)

73 when divided by \(x-6\)

Find out the value of \(p(0)\)

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