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A^2 = B^3 + C^3
Solve, given all unknowns are non-zero integers $latex A^2 \; = \; B^3 \; + \; C^3$ $latex B^2 \; = \; C^3 \; + \; D^3$ $latex C^2 \; = \; D^3 \; + \; E^3$ $latex D^2 \; = \; E^3 \; +…