Table schema:
CREATE TABLE table_name_37 (administrative_panel INTEGER, cultural_and_educational_panel VARCHAR, nominated_by_the_taoiseach VARCHAR, agricultural_panel VARCHAR)

Question: What is the biggest administrative panel with a nominated by the Taoiseach greater than 3 and an argricultural panel of 5, plust a cultural and educational panel larger than 2?
SQL: SELECT MAX(administrative_panel) FROM table_name_37 WHERE nominated_by_the_taoiseach > 3 AND agricultural_panel = 5 AND cultural_and_educational_panel > 2