Final answer:
Gabby Douglas trained with coach Liang Chow in West Des Moines, Iowa at age 14. The provided options in the question are incorrect and do not include Liang Chow, who is the actual coach she trained with.
Step-by-step explanation:
The coach Gabby Douglas trained with in West Des Moines, Iowa, at the age of 14 is Liang Chow, who is not listed in the options provided. The options given in the question, such as Martha Karolyi, Bela Karolyi, Simone Biles, and Aly Raisman, are not correct. Liang Chow is a renowned gymnastics coach known for coaching Olympic gymnasts including Shawn Johnson and later, Gabby Douglas herself during her successful campaigns at the 2012 London Olympics. This question seems to be a part of a test or quiz that may have an error in the provided options. It is important for the student to clarify this with their teacher.