Conversation so far:
When did Utada Hikaru try the international market?
Utada Hikaru released her English-language debut album Precious in early 1998.
Was Utada Hikaru's album Precious popular?
Utada Hikaru's Precious albumwas a commercial failure.
Was Utada Hiraku's album Precious popular worldwide or was this before her cross-over to the international market?
Utada Hikaru's Precious album was released before her cross-over to the international market.
Did Utada Hiraku leave Japan during the time she tried to cross-over to the international market?
Utada Hikaru moved back to New York in 2004.
What did Utada Hiraku do in New York?
Utada Hikaru began work on a new recording contract with Island Def Jam Music Group.

Question: Did she make albums or songs with them?
Self-contained rewrite: Did Utada Hikaru make albums or songs with Def Jam Music Group?