<prompt> Acha x, y, z ziwe nambari zisizo za kweli kama vile x y z 0, na xy xz yz neq 0. Pata thamani zote zinazowezekana zafracx5 y5 z5xyz xy xz yz.Ingiza thamani zote zinazowezekana, zikitenganishwa na koma.  <response>: Kubadilisha z -x - y, tunapatafracx5 y5 - x y5xy-x - yxy - xx y - yx y. Kupanua nambari na denominator, tunapataanzaalign-frac5x4 y 10x3 y2 10x2 y3 5xy4xyx yx2 xy y2 - frac5xy x3 2x2 y 2xy2 y3xyx yx2 xy y2 -frac5 x3 2x2 y 2xy2 y3x yx2 xy y2 -frac5 x yx2 xy y2x yx2 xy y2 -5.endalignKwa hivyo, thamani pekee iwezekanayo ya usemi ni -5. 