My own approach to this issue - theodacy, the nature of the goodness of God and the evil in the world - is very simple.
God has answered every prayer. Each time someone asked for something, he said to another person, "help him, help her." Now, there are 7 billion sons and daughters of God, brothers and sisters of each other, all here to be true to God, to be peaceful, harmless, and loving, to be creative like our Creator and true to ourselves, and to love, serve, and help one another.
Only each one of us can make the free will choice to not hear God's voice, or not do a the Divine, in our heart, calls us to do. So, too often, we do nothing, or even do harm, rather than help.
The problem lies not with God, but with us. The solution is already given by God, and we are that solution. Let us make a different free-will choice to love all (ourselves, friends, and enemies) as God loves us all. We can each do this, and love patiently when others do not. And when all do this, let's see if there are any problems left for God to handle!