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TH-TMO 2008 Problem 3

    Find all positive real solutions to the equation x+⌊x3⌋=⌊2x3⌋+⌊3x5⌋x+\left\lfloor\frac x3\right\rfloor=\left\lfloor\frac{2x}3\right\rfloor+\left\lfloor\frac{3x}5\right\rfloor

    Dataset text AI-MO AoPS. Quoted with source.

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