user: ### NOW ANSWER:
Question: what is the average women's when men's is less than 113, the team is ue red warriors and the rank is higher than 6?
Columns: ['Rank', 'Team', "Men's", "Women's", 'Total']
Types: ['real', 'text', 'real', 'real', 'real']
Sample row: [1.0, 'UST Growling Tigers', 165.0, 140.0, 305.0]
SQL:

assistant: SELECT AVG("Women's") FROM "Table" WHERE "Men's" < 113.0 AND "Team" = 'ue red warriors' AND "Rank" > 6.0;