Browse · MATH Print → jmc number theory intermediate Problem If x≡4(mod19) and y≡7(mod19), then find the remainder when (x+1)2(y+5)3 is divided by 19. Solution — click to reveal If x≡4(mod19) and y≡7(mod19), then (x+1)2(y+5)3≡52⋅123≡25⋅1728≡6⋅18≡108≡13(mod19). Final answer 13 ← Previous problem Next problem →