You can use the second equation to eliminate M__Revolute(t) from the first. Open a Worksheet template and do

A := MapleSim:-LinkModel():
A:-SetSubsystemName(""):
A:-SetSubstitutions([`Main.SpringDamper.c` = c__SpriD, `Main.SpringDamper.d` = d__SpriD, `Main.SpringDamper.phi_rel0` = PhiR0__SpriD, `Main.Revolute.M`(t) = M__Revolute(t), `Main.Revolute.theta`(t) = theta__Revolute(t)], 'nocheck'):
eqs := A:-GetEquations('output' = 'all', 'inputs' = {}, 'filter' = [], 'simplify' = true, 'params' = {`Main.SpringDamper.c`, `Main.SpringDamper.d`}):
dae := eqs[1];
subs(isolate(dae[2],M__Revolute(t)), dae[1]);

UseHardwareFloats is a Maple environment variable.  As such, it gets reset to its previous value when the procedure that assigned it (ModuleLoad) exits.. 

Use the fouriercos and fouriersin procedures in the inttrans package.  Use piecewise to create the expression you want to transform. For example

with(inttrans): # load the inttrans package
y := piecewise(t < 1, exp(t), 1);
fouriercos(y, t, s);

Replace the curly braces with regular parentheses, then use solve.

eq := alpha+(6*RK[1]*alpha+2+(96/5)*R^2*K^2*alpha^2-(1/6)*R*alpha+64*R^3*K^3*alpha^3)*beta+((24/5)*RK+44*R^2*K^2*alpha^3)*beta^2=0:
solve(eq, alpha);
solve(eq, beta);

Using print, as shown by acer, is the recommended way to do this. Here is an alternative.

t := 0:
for i to 11 do
    if 1=1 then
        j := i + i^2;
        k := j + t;
    end if;
    t := j/k;
end do;

That works because Maple uses the value of the global variable printlevel to determine what to print when evaluating substatements in a statement terminated with a semicolon. The default value of printlevel is 1, which prints the result of substatements at level 1 or lower. Note that if true is used rather than 1=1 as the condition, Maple's simplifier will fully evaluate the conditional statement so the nested assignments will appear at level 1 and so be printed.

Further Rather than adding dummy levels, you could modify printlevel directly. For example

t := 0:
for i to 11 do
    printlevel := 0;
    j := i + i^2;
    k := j + t;
    assign('printlevel',1);
    t := j/k;
end do;

Note the use of the assign function, which returns NULL (so prints nothing) when resetting printlevel to 1. If a regular assignment statement was used then that assignment would be printed.

The Maple assignment operator is two-characters:

  Dmax := 0;

Change the equations that are supposed to be assignments. Also, I don't know what D.i is supposed to represent, but that cannot be on the lhs of an assignment. Maybe you are trying to create a table of values, in which case you'd use D[i],except that D is protected (it corresponds to a differential operator), so use d[i].

@mostafaorooji One approach is to to use LargeExpressions:-Veil:

with(LargeExpressions):
subsindets(ans, specfunc(exp), Veil[Z]);
              w(x) = _C1*Z[1]+_C2*Z[2]+_C3*Z[3]+_C4*Z[4]

Check the help for LargeExpressions.

{ op(s1), op(s2), ... }

It seems like you just want to count in base 3.  This could be down with MixedRadixTuples in the Iterator package:

with(Iterator):
C := MixedRadixTuples([3,3,3]):
S := [l,m,h]:
seq([NULL
     , cat(CPC_, S[c[1]+1])
     , cat(SIZE_,S[c[2]+1])
     , cat(SH_,  S[c[3]+1])
    ], c in C);

Am thinking it is asking whether you want to upgrade your 2018.1 to 2018.2, which has been recently released.

See the help page OpenMaple,C,callBackCallBack.  Then look at the source code for the example mentioned there (callBackCallBack.c); it uses a Maple-side call to callback to call the callBackCallBack C function. Basically, the purpose of callback is to invoke the user's callBackCallBack function.  

The callback function is not something you would ever call interactively from Maple.  Rather it would be called by Maple code that is being executed by an external program using OpenMaple to interact with the Maple engine. It isn't formally documented because its arguments and effect are completely determined by the callBackCallBack function, something the user defines.

How 'bout

    ModuleApply:= proc({a :: algebraic := KandR:-a,
                        b :: algebraic := KandR:-b,
                        c :: algebraic := KandR:-c,
                        e :: algebraic := KandR:-e
                       }, $)
    local opt;
        for opt in _passed do
            thismodule[lhs(opt)] := rhs(opt);
        end do;
      return NULL;
   end proc;

That is a demo of the Intermediate Axis Theorem, which can be readily modeled using MapleSim, see IAT.msim.  MapleSim uses Maple as the engine. While it is possible to extract the Maple equations that are generated, for this example they are not particularly enlightening and too large to post here.

Internally, Maple reduces the first, (x^2 + y^2 = 1)^2, to x^2 + y^2 - 1.  It doesn't modify the second, (x^2 + y^2 -1)^2 , and solving that is considerably more difficult for a numerical solver as the expression never crosses zero.

This is explained in the help page worksheet,documenting,styles.  Here's a summary

Click Format > Styles and then modify the character styles appropriately.

Click Format > Manage Style Sets and then Export your style set.  After doing so, click User-defined Style Set radio button and select the mw file to which you exported the style.  Click OK and it should then be used as the style set for new worksheets.