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 eastbound trains have rectangular-shaped head cars?
Evidence: eastbound refers to direction = 'east'; head cars refers to position = 1

SQL:
SELECT COUNT(T.train_id) FROM (SELECT T1.train_id FROM cars AS T1 INNER JOIN trains AS T2 ON T1.train_id = T2.id WHERE T1.position = 1 AND T2.direction = 'east' AND T1.shape = 'rectangle' GROUP BY T1.train_id)as T