The quartic equation \(x^4 + 7x^2 + 3x + 22 = 0\) has roots \(\alpha, \beta, \gamma, \delta\).

(a) Find the value of \(\alpha^2 + \beta^2 + \gamma^2 + \delta^2\).

(b) Find the value of \(\alpha^4 + \beta^4 + \gamma^4 + \delta^4\).

(c) Use standard results from the list of formulae (MF19) to find the value of \(\sum_{r=1}^{10} ((\alpha^2 + r)^2 + (\beta^2 + r)^2 + (\gamma^2 + r)^2 + (\delta^2 + r)^2)\).