Auto-Generate Fractions Questions

I'd like a Python script that auto-generates LaTeX code for fractions questions based on the following criteria. - two or three terms - configurable option to include any or all of addition, subtraction, multiplication, division. - configurable option for max numerator and denominator - configurable option to include any or all of simple fractions, improper fractions, mixed numbers. - configurable option to include an integer as one of the terms (e.g. 5 x 1/2 or 1/2 x 5) - configurable option to include one of common denominators, easy to find common denominators (e.g. where one denominator is a multiple of the other), or random denominators. - configurable option to include only answers that require no reducing and no renaming (changing an improper fraction to a mixed number); answers that require only reducing but no renaming; and answers that require reducing and renaming. - answers in lowest terms - answers shown as a fraction only (simple, or improper) and as a mixed number (if applicable)