The positive integer solution is
<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">(</mo><mi>x</mi><mo separator="true">,</mo><mi>y</mi><mo separator="true">,</mo><mi>z</mi><mo stretchy="false">)</mo><mo>=</mo><mo stretchy="false">(</mo><mn>3</mn><mo separator="true">,</mo><mn>8</mn><mo separator="true">,</mo><mn>120</mn><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">(x, y, z) = (3, 8, 120)</annotation></semantics></math>(x,y,z)=(3,8,120).
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