Romans 9 summary:
1-5 Paul is sorry the nation of Israel is separated from Christ.
6-8 Israel is not made up of blood line descendants, but of believing Jews.
9-14 God's choice is both according to His purpose, and sometimes with and/or without regard for the works of those chosen.
15-19 God chooses to have mercy of some and harden others according to His purpose.
20-21 God has the right of creator to choose some for mercy and pass over others.
22-26 God can choose from among Jews and non-Jews to have mercy.
27-29 Only a remnant of believing Jews remains, although a large number of blood line Jews are alive.
30-33 Those that believe (Jews and Gentiles) did not stumble over the snare of works based salvation, but trusted in the work of Christ.