Java program to change subject of a formula

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Java

MS-Excel

algorithm

algebra

I am trying to make a java program which takes a formula as input and gives all the alternative form for writing that formula.

Example-Input(String)- v^2=u^2+2*a*s
Output(String)-u^2=v^2-2*a*s
a=(v^2-u^2)/2*s
s=(v^2-u^2)/2*a

If you could write a piece of code that changes and prints all the alternative forms of a formula that will be a great help. Thanks.

What I have tried:

I searched but found nothing other than rules to change subject of a formula. I could input all rules one by one in my code but it could be very time taking.