The Sony RMT-D187A cannot be programmed for a Dynex television. The brands supported according to Sony are: GoldStar, Hitachi, LG Mitsubushi / MGA, NEC, Panasonic, Philips, Pioneer, RCA, Samsung, Sharp, Sony, and Toshiba. Sorry, but it wont work on your TV.
Information found here:
http://esupport.sony.com/US/perl/model-remote.pl?mdl=RMTD187A
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