The U.S. Department of Education released new data today as part of the Civil Rights Data Collection on resources and opportunities for students in 72,000 schools across the nation. You can see how many kids at a school took Advanced Placement classes, how many took Algebra 1 and geometery, calculus, physics, etc. and all by ethnicity. Not all Utah schools are included, but many are, as are the districts.
You can go here to search for your school or district (tip: I've done a few searches, and I find the fewer terms you put in the better. For example, if you're searching for a district, instead of putting in the name of the district, just leave everything blank except for the state field, and most of the districts will come up in results).
Also ProPublica did an analysis of the data, to look at each state's "opportunity gap," or students' abilities to take high level courses. According to the chart, it looks like Utah is doing better than many states overall when it comes to students at high poverty schools and wealthier schools having equal access to high level classes.