Below is an context that describes a sql query, paired with an question that provides further information. Write an answer that appropriately completes the request.  # noqa: E501
### Context:
CREATE TABLE table_name_51 (founded INTEGER, home_city VARCHAR)
### Question:
what is the earliest founded when the home city is mayagüez?
### Answer:
SELECT MIN(founded) FROM table_name_51 WHERE home_city = "mayagüez"