Methods, systems, apparatus, and computer-readable media for deriving data elements from queries. In some implementations, a query is received, and one or more computers determine that the query involves an operation that satisfies one or more criteria. In response data is saved that indicates a derived data element corresponding to the operation. The one or more computers provide data causing a representation of the derived data element to be presented, such as data causing an interactive control representing the derived data element to be presented on a user interface.