(a) Solve the congruence equation (x^{3} equiv 2 bmod 29). (b) Find the (7^{text {th }}) root...
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(a) Solve the congruence equation \(x^{3} \equiv 2 \bmod 29\).
(b) Find the \(7^{\text {th }}\) root of 12 modulo 143 (i.e., solve \(x^{7} \equiv 12 \bmod 143\) ).
(c) Find the \(11^{\text {th }}\) root of 2 modulo 143 .
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