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I'm looking for a library in (preferably) Scala or Java that supports symbolic algebra (solving equations in an algebraic way, not just numerically). It would also be really great if it supported step-by-step solutions, though not strictly necessary.

Any ideas?

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You can use the Symja - Java computer algebra and symbolic math library. In this github repository you can find some (older) symja_scala_examples how to call it from Scala

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