Database schema:

CREATE TABLE cars (
	id INTEGER NOT NULL -- example: ['2', '1'],
	train_id INTEGER DEFAULT NULL -- example: ['2', '1'],
	position INTEGER DEFAULT NULL -- example: ['2', '1'],
	shape TEXT DEFAULT NULL -- example: ['rectangle', 'bucket'],
	len TEXT DEFAULT NULL -- example: ['long', 'short'],
	sides TEXT DEFAULT NULL -- example: ['not_double', 'double'],
	roof TEXT DEFAULT NULL -- example: ['none', 'peaked'],
	wheels INTEGER DEFAULT NULL -- example: ['2', '3'],
	load_shape TEXT DEFAULT NULL -- example: ['hexagon', 'circle'],
	load_num INTEGER DEFAULT NULL -- example: ['1', '3'],
	PRIMARY KEY (id), 
	CONSTRAINT fk_cars_trains FOREIGN KEY(train_id) REFERENCES trains (id)
)


CREATE TABLE trains (
	id INTEGER NOT NULL -- example: ['2', '1'],
	direction TEXT DEFAULT NULL -- example: ['west', 'east'],
	PRIMARY KEY (id)
)

Question: How many cars on a train that runs in the east direction have a flat roof?
Evidence: flat roof refers to roof = 'flat'

SQL:
SELECT SUM(CASE WHEN T1.roof = 'flat' THEN 1 ELSE 0 END)as count FROM cars AS T1 INNER JOIN trains AS T2 ON T1.train_id = T2.id WHERE T2.direction = 'east'