Table schema:
CREATE TABLE table_name_57 (attempts INTEGER, yds_att VARCHAR, rank VARCHAR, start VARCHAR)

Question: What is the lowest number of attempts for the player with a rank number larger than 3, who started after 1984 and had less than 6.1 yds/att?
SQL: SELECT MIN(attempts) FROM table_name_57 WHERE rank > 3 AND start > 1984 AND yds_att < 6.1