Symbolic mathematical programming....

is it possible to do symbolic mathematical programming in the following way:

for example

let a=b+c

let d=a+c

let b=x

let c=y

print "d"

let x=1

let y=2

the evaluate "d"

output...d=b+2c; d=5

what if a,b,c=an integral Expression or a differential equations or a partial differential equations, a curl or a div...

a curl is actually the surface area of an integral

a div is actually the gradient of a partial differential equations...

what if u don't add or substract a, b, c but multiple or divide them also.

u evaluate each expressions and simplifies them and print the final answer. each expression
can be evaluate by maple 15. all u have to do is add, substract, multiply and divided them and then use the evaluate and display inline function to simplify the expressions........

for example:

let b=integral x^2

let c=differentiate (3x^5+2x+1)

let a=b+c

let d=a+c

print "d"

let x=1......

evaluate "d"

output....d=x^3/3+c1+2(15x^4+2x)=30x^4… d=34.33+c1......

u can further solve the equation by inputting the boundary values...say if when x=0, d=34.33, so c1=0.

would that gives u a simple symbolic mathematical programming method....?

I don't know what language (if any specific one) you are using, but most scripts for symbolic math packages look something like the. wxMaxima is an excellent package and its free. Google for it.