1.16. Do the following modular computations. In each case, fill in the box with an integer between 0 and m - 1, where m is the modulus.
(a) 347 + 513 ≡ [ ] (mod 763).
(b) 3274 + 1238 + 7231 + 6437 ≡ [ ] (mod 9254).
(c) 153 ∙ 287 ≡ [ ] (mod 353).
(d) 357 ∙ 862 ∙ 193 ≡ [ ] (mod 943).
(e) 5327 ∙ 6135 ∙ 7139 ∙ 2187 ∙ 5219 ∙ 1873 ≡ [ ] (mod 8157).
(Hint. After each multiplication, reduce modulo 8157 before doing the next multiplication.)
(f) 137^2 ≡ [ ] (mod 327).
(g) 373^6 ≡ [ ] (mod 581).
(h) 23^3 ∙ 19^5 ∙ 11^4 ≡ [ ] (mod 97).