# 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 $$abcd + a + b + c + d$$.

×