y = 2z.
y and z are both positive integers
so for any value of z (1 being the min.)
x can never be equal to w.
The question doesn't state consecutive integers are positive. It only tells y and z are positive.
Say y = 3, than z = 6
And y be set of 3 consecutive integers (0, 1, 2) and its sum = 3 = x
Let z be set of 6 consecutive integers (-2, -1, 0, 1, 2, 3) and its sum = 3 = w
Which says x = z.
I think only one which couldn't be true is E, x/z.