3. Let p= 37, and let f = 7-1. For each a in F,[r]/f, either find the inverse al or explain why the inverse does not exist. A computer program is needed for some (but not all) of these. (a) a = 8 (b) a=0 (c) a = r (d) a = x + 1 (e) a = 1 + 2 (f) a = 2²-1 Please solve as much as possible. If not please solve e, f, g, and h (g) a = r² + 1 (h) a=r³+²+1

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