# Makes me wonder

**Algebra**Level 5

If \(a, b, c, d\) are real values that satisfy the system of equations:

\(abc + ab +bc + ca + a + b + c = 71\)

\(bcd + bc + cd + db + b + c + d = 191\)

\(cda + cd + da + ac + c + d + a = 95\)

\(dab + da + ab + bd + d + a + b = 143\)

Evaluate the value of \(abcd + a + b + c + d\).