The number of positive integral solutions of the equation $∣ ∣ x^{3} + 1 x y^{2} x z^{2} x^{2} y y^{3} + 1 z^{2} y x^{2} z y^{2} z z^{3} + 1 ∣ ∣ = 11$ is

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The number of positive integral solutions of the equation

∣ ∣ x^{3} + 1 x y^{2} x z^{2} x^{2} y y^{3} + 1 z^{2} y x^{2} z y^{2} z z^{3} + 1 ∣ ∣ = 11

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Question Text

The number of positive integral solutions of the equation

∣ ∣ x^{3} + 1 x y^{2} x z^{2} x^{2} y y^{3} + 1 z^{2} y x^{2} z y^{2} z z^{3} + 1 ∣ ∣ = 11

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