Code breaks as soon as I try to print a variable

Edit

I think I figured out what was wrong. Since I was adding in Print[m] after I ran the loop, I had to clear my variables if I wanted to run the loop again. I guess my new question is: why did I have to clear m and x? I tried to reevaluate F[x] to reset the function, and I tried to rerun m = 3 after, but it just gave me strange results which I will attach below.

What happens when I rerun F[x_] = x^2 Cos[x] + x + 3 after running the loop.

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Original issue starts here.

I’m running a For-loop (and it needs to be a For-loop) thats supposed to do Newton’s method on a function.

I’ll post the parts of the code that I think are needed to get the error

F[x_] = x^2 Cos[x] + x + 3
m = 3

For[i = 0, i < 5, i++,     
  F'[m];
  y = F[m] + F'[m] (x - m);
  x = (0 - F[m])/(F'[m])   + m;
  Print[N[F[x]]];
  m = x

All of this code here works fine. The moment I add Print[m] or Print[x] to the loop, it completely breaks and I do not know why. The picture below is the code working before I add in Print[m] anywhere in the loop.