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Number Theory Level pending

107 0 p + 37 0 p + 72 1 p + 6 1 p + 5 0 p = 60 3 p + 41 6 p + 40 5 p + 50 3 p + 9 p \large 1070_p + 370_p + 721_p + 61_p + 50_p = 603_p + 416_p + 405_p + 503_p + 9_p

If p p is an integer such that the numbers in the equation above are written in base p p , find the total number of solutions of p p .

3 1 2 No solution

Chung Kevin by Chung Kevin , 45, Australia

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