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An algorithm is the series of steps to solve problem, so you would be looking for the series of steps to solve a math problem.
There was no word problem, so it would be a null equation.
It depends on the problem you are trying to solve. like; 2x + 3 = 13. it would be "5". (Multiplication.) or x/3 = 6. x= 18. this is a division problem. Like I said, it all depends on your problem.
For as long as you know the rules, it would just be easy.
Scientific method is described as a scientific approach to a problem. To solve a problem you must first find the problem, access it, hypothesize a solution, illustrate your solution, try the solution, and then finally try it. If this does not work start over.