Variant 11.3.3. The polynomial $G(x)$ with real coefficients takes the value 2022 at exactly five different points $x_{1}<x_{2}<x_{3}<x_{4}<x_{5}$. It is known that the graph of the function $y=G(x)$ is symmetric with respect to the line $x=-7$.

(a) (2 points) Find $x_{1}+x_{3}+x_{5}$.

(b) (2 points) What is the smallest degree that $G(x)$ can have?
Answer: (a) -21 . (b) 6.