Math Prize 2023 Problem 6
Source:
October 11, 2023
Problem Statement
Solve for :
\begin{eqnarray*}
v - w + x - y + z & = & 79 \\
v + w + x + y + z & = & -1 \\
v + 2w + 4x + 8y + 16z & = & -2 \\
v + 3w + 9x + 27y + 81z & = & -1 \\
v + 5w + 25x + 125y + 625z & = & 79.
\end{eqnarray*}