extemporize
US /ɪkˈstem.pə.raɪz/
UK /ɪkˈstem.pə.raɪz/

1.
extemporizar, improvisar
to compose, perform, or utter something without preparation; improvise
:
•
The jazz musician could extemporize a solo on the spot.
El músico de jazz podía improvisar un solo en el acto.
•
She had to extemporize a speech when the main speaker didn't show up.
Tuvo que improvisar un discurso cuando el orador principal no apareció.