Newton is tired now!
If \(a + b + c + d + e = 1\)
\(a^2 + b^2 + c^2 + d^2 + e^2 = 1\)
\(a^3 + b^3 + c^3 + d^3 + e^3 = 2\)
\(a^4 + b^4 + c^4 + d^4 + e^4 = 3\)
\(a^5 + b^5 + c^5 + d^5 + e^5 = 5\)
then find the value of \(30(a^7 + b^7 + c^7 + d^7 + e^7)\)
This problem is inspired by many problems