IMC 2012 — Keystage 3 (IWYMIC) — team Question 10

The ten decimal digits are replaced bijectively by $A,B,C,D,E,F,G,H,I,J$. Given $$10A+B=A^2C,\quad10D+E=CF,\quad10B+G=H+I+FG,\quad ABDJ\ne0,$$ find $J$.