You are missing 'coding' probably. The JMP DOE platforms add a Coding column property to the factor data columns. Fit Least Squares uses this property to 'code' the factor levels. You can see this if you examine the column properties. And then JMP changes the labels in Fit Least Squares by appending the low and high values in parentheses after the factor name. Look at the Parameter Estimates table, for example.
You can prepare the formula for non-statistical software like Excel easily. Open the formula editor on the prediction formula. The entire formula should be selected (surrounded by blue rectangle.) Find the red triangle at the top center of the editor. Click it and select Simplify. Then save the formula. Actually, copy it first so you can paste it in a cell in the spreadsheet.