Below is a partial row from a table of powers for Zp, where p is a prime number and g € Zp. n g" ... 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 250 979 232 812 120 915 191 297 565 149 474 657 486 131 614 524 a) Find the solution to 120x = 614 (mod p). Be sure to give your answer as an integer reduced modulo p, that is, as the smallest non-negative solution. b) Given that y € Z, is such that y7 = 614 and y Be sure to give your answer as an integer reduced modulo p, that is, as the smallest non-negative solution. = 486, what is yº? ...

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