who has a solution for complex scheduling

I have a challenge to complete.
I have to make a schedule that is quite complex. It involves a course planning that is given by 13 instructors and 7 different courses on 3 days a week and at different times.

As input I have a list of all participants, the course they are following, the date and time and the instructor who provides the lessons. The courses have different durations from 6 weeks one time a week to 10 weeks one time a week.

Who can help me on my way?

Best regards.