Utah Code Ann. § 20A-6-302
(1) Each election officer shall ensure, for paper ballots in regular general elections, that:
(2)
(f) If the candidate whose name would, except for this Subsection (2)(f), be placed on the ballot under Subsection (2)(a) has been elected on a ballot under Subsection (2)(a) to the two consecutive terms immediately preceding the term for which the candidate is seeking election, Subsection (2)(a) does not apply and that candidate shall be considered to be an unopposed candidate the same as any other unopposed candidate for another office, unless a petition is filed with the county clerk before the date of that year's primary election that:
(3)
(f) If the candidate whose name would, except for this Subsection (3)(f), be placed on the ballot under Subsection (3)(a) has been elected on a ballot under Subsection (3)(a) to the two consecutive terms immediately preceding the term for which the candidate is seeking election, Subsection (3)(a) does not apply and that candidate shall be considered to be an unopposed candidate the same as any other unopposed candidate for another office, unless a petition is filed with the county clerk before the date of that year's primary election that: