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I'm writing a software that does simple mathematical calculations for lazy people.

I need ideas. I already wrote some pieces of code that calculates 'Quadratic formula', but I have no idea what to do next.

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    To the commenters: do click on the OP's page and check out his profile. I agree completely with the content of the replies, but I think it's an investment in the future not to be too discouraging to young people.2011-01-04

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I'm with Jonas T, I don't know why he didn't make his comment an answer.

Symbolic integration of polynomials would be an easy next step.

I disagree somewhat with Raphael. Coding some simple functions can give you a better appreciation when you do use something like WolframAlpha.