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In terms of the $q$-Saalsch\"{u}tz identity and the Chinese remainder theoremfor coprime polynomials, we establish some $q$-supercongruences modulo thethird power of a cyclotomic polynomial. In particular, we give a $q$-analogueof a formula due to Long and Ramakrishna [Adv. Math. 290 (2016), 773--808].

$q$-Supercongruences from the $q$-Saalsch\"{u}tz identity