When do I have to file my response to this motion?

In civil cases, Rule 7.1 of Arizona Rules of Civil Procedure states that the opposing party shall file an answer within 10 days after the motion was filed and served. Rule 6(e) of Arizona Rules of Civil Procedure allows an additional 5 calendar days when the motion is served by mail. The judge may determine there are grounds for an accelerated ruling, in which case the time for filing may be shortened. The time periods may be different when specific times for motions are otherwise provided by statute, Arizona Rules of Civil Procedure, or order of the court.

Unless the court ordered otherwise, Arizona law requires all papers against a motion be filed and served on the opposing party by at least 10 calendar days before the hearing.
Resources:
•    Rule 7.1 of Arizona Rules of Civil Procedure
•    Rule 6(e) of Arizona Rules of Civil Procedure