HMMT November 2015 T8

Find any quadruple of positive integers $(a, b, c, d)$ satisfying $a^{3}+b^{4}+c^{5}=d^{11}$ and $a b c<10^{5}$ .

Dataset text NuminaMath olympiads. Quoted with source.

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(128,32,16,4) \text{ or } (160,16,8,4)

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