It is helpful to keep a separate list of needs for times of pure intercession:
Also good to have a "miracle list"
God can do anything - nothing is impossible - Luke 1:37
During difficult times, God extended a seeming impossible invitation:
Jerusalem was under attack from the Babylonians and the city was destroyed
Call to me and I will answer with great and unsearchable things - Jeremiah 33:3
God promised healing, forgiveness, and cleansing to Israel - Jeremiah 33:6-9
He can do immeasurably more than what we can ask - Ephesians 3:20
We know God can do anything; we just don't know if he will do them