math-er

def findThis(number, memorySafe=True, singleDigits=True, upto=100):
  constructRetVal = lambda x_, y_, op_: "{} {} {} = {}".format(x_, op_, y_, number)
  symbols = ["%", "^", "&", "*", "-", "+", ">>", "/"]
  if not memorySafe:
    symbols += ["<<", "**"]
  iterRange = range(10) if singleDigits else range(upto)
  found = []
  for x in iterRange:
    for y in iterRange:
      for operator in symbols:
        evalConstruct = "x {} y".format(operator)
        try:
          if eval(evalConstruct) == number:
            found.append(constructRetVal(x, y, operator))
        except ZeroDivisionError:
          pass
  return found


# Demonstration

# >>> findThis(69, singleDigits=False)
# ['0 ^ 69 = 69',
#  '0 + 69 = 69',
#  '1 ^ 68 = 69',
#  '1 + 68 = 69',
#  '1 * 69 = 69',
#  '2 + 67 = 69',
#  ...
#  ...
#  ...
#  '87 ^ 18 = 69',
#  '87 - 18 = 69',
#  '87 & 69 = 69',
#  '87 & 77 = 69',
#  '88 - 19 = 69',
#  '88 ^ 29 = 69',
#  '89 - 20 = 69',