In the given expression $34z^{14}+bz^{7}+70$, $b$ is a positive integ…

Question

Prompt

In the given expression

34 z^{14} + b z^{7} + 70

b

is a positive integer. If

q z^{7} + r

is a factor of the expression, where

q

and

r

are positive integers, what is the greatest possible value of

b