Can the monarch remove the prime minister?

Answer:

In a constitutional monarchy ther terms of electing a prime minister (or similar office) may require the monarch's acceptance of the candidate. Similarly the terms may indicate that the prime minister serves "at the pleasure of the monarch", meaning the monarch can effectively fire him. In Canada, for instance, the Queen's representative the governor general must accept the new Prime Minister before he can accept the office. The governor General can also appoint a new P.M. if the present holder of the office looses the confidence of the House of Parliament. This is effectively removing the prime minister. Some countries do not have a monarch, so obviously prime ministers in any of those countries cannot be removed by the monarch.