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diophantine (12x -1)(6x-1)(4x -1)(3x -1) = 330 (HOMC 2013 J Q5)

Source:

July 25, 2019
number theoryDiophantine equationdiophantine

Problem Statement

The number of integer solutions xx of the equation below
(12x−1)(6x−1)(4x−1)(3x−1)=330(12x -1)(6x - 1)(4x -1)(3x - 1) = 330 is
(A): 00, (B): 11, (C): 22, (D): 33, (E): None of the above.
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