Find My Value

Find My Value!

Find a, b, c, d, e, and f given the following conditions.

a(b + c + d + e + f) = 184

b(a + c + d + e + f) = 225

c(a + b + d + e + f) = 301

d(a + b + c + e + f) = 369

e(a + b + c + d + f) = 400

f(a + b + c + d + e) = 525

Hint: Use prime factorization to help you solve this problem.