I wish to expand expressions, such as the following, to at least 6 orders (possibly more).
$$Y=\frac {(D - R\cos\theta + T.V.W)} {D^3\left( X^{1.5}Q^3 +3W.X^{1} Q^{2.5} +3W^2X^{0.5}Q^2 +W^3Q^{1.5} \right)} $$
With $$Q = \left(1-\frac{U^2}{V^2}\right), X = \left( 1 - 2\frac{r}{D}\cos\theta + \frac{R^2}{D^2} \right), W = \left(\frac{U\sin\theta}{V}\right)$$
and $$ T = \left( \frac{D.W}{V.Q} \right) \left( 1+\sqrt{\frac{Q.X}{W^2}+1} \right). $$
Previously I have been using some old self-written code (VB6). But with the above expression I am running into overflow problems with term constants whose numerators and denominators exceed the maximum integer capability of VB6 on my 32-bit Win7 laptop (i.e +/- 7.92E28).
Is there any software package available for (and capable of) performing this kind of expansion?