Here's one way to do it, using custom tickmarks.

Download dualaxes.mw

Suggest you upload your worksheet next time (green up arrow in the editor).

in
for n to N do

subs([seq(x(i) = x[c][i], i = 0 .. n),

the i in x[c][i] must be x[c][i+1] since list indices start at 1. Same for further on in the line. After fixing this there is another error arising because you have used "x" as a simple variable in the differentiation and other places as well as with x[c][i] - you need different names for these. 

There are various technical issues here that I'm going to ignore. What answer were you expecting? What do you want to happen for negative x? Is this a signal that is zero for x<0. If so, then you can just use laplace with s=I*omega

eval(laplace(f(x),x,s),s=I*omega);

gives
 1/2*Pi^(1/2)/(I*omega)^(3/2)

Well, this finds any of the polynomials. But what type of answer exactly is expected here?

Download polynomial.mw

use sol:-value(r=0..10,t=0..20) to get the values out. [Edit - not correct - see correct answer below] (It is helpful if you load your actual worksheet using the big green up-arrow in the Mapleprimes editor.)

The error is because C1 is zero. My recollection is that the calculation of the t-value involves dividing by the standard error, which is zero. Then the absolute value of infinity leads to the complex infinity.

You should scale your dependent data down to values within a few orders of magnitude of 1, say by dividing it by 10^7. Then your parameters will be 10^7 times higher and more reasonable. You are likely running into numerical accuracy issues because your problem is not better scaled. Actually you could use stronger scaling for the last column.

Here is a scaled version that works:

toycode3.mw

with(GraphTheory);
G := Multigraph(2, [{1, 2}, {1, 2}]);
DrawGraph(G);

The 2 by the edge in DrawGraph shows there are two edges between vertices 1 and 2.

You can have several worksheets open with the same Maple engine - See Tools->Options->General tab, and under Mathematical Engine choose "Share one engine among all documents".

Alternatively you can save variables with the save command, and then use the read command to retrieve them.

Download tobase.mw

In general there are many roots. An implicitplot will show curves where there are solutions. The algcurves packsge has more routines to analyse such curves.

Download bivariate.mw

Here I use @acer's routine and color the digits according to HUE: 0..1 maps to 0..16777215.
Don't know how to do the more general case with non-integer bases.

[Edit: forgot the decimal point - now fixed]

Download expcolors.mw

ctrl-k inserts a new execution group before the current one; ctrl-j after the current one (cmd-j,cmd-k on Mac). There is also the >_ icon on the toolbar that inserts after the current execution group. I'm assuming worksheet mode; for document mode to get new input but not a new prompt it is ctrl-shift-k etc.

You could use string manipulations to automate a file conversion for the simple stuff as in the example file below, and then hand edit the file for the things that don't easily convert. (integrate is a synonym for int, so you could leave that). Of course you could spend a lot of time on a more sophisticated conversion process, but I'm guessing it is easier to do an approximate conversion and then fix things up in Maple. I "read" the modified file in the example, which means that Maple parses the commands, but it might be easier to copy from the converted file to an input region.

MaxToMaple.mw

Spelling error

wiht(LinearAlgebra) should be with(LinearAlgebra)

There is no general formula in terms of radicals for a general 5th degree polynomial. For some cases of coefficients there will be solutions, roots(x^5-1); is a simple example.