Antonia buys 5 different supplements where 3 bottles have 120 pills per bottle, so she has 120 pills x 3 bottles = 360 pills.
2 of the bottles Antonia buys have 30 pills each x 2 bottles = <<30*2=60>>60 pills.
She has purchased 360 pills + 60 pills = <<360+60=420>>420 pills total in the 5 bottles.
Antonia has filled her 7-day pill box for 2 weeks, so 7 days x 2 weeks = <<7*2=14>>14 days.
On each of the 14 days she fills it with 5 pills, so after 14 days she has used 14 x 5 = <<14*5=70>>70 pills.
Since Antonia had 420 total pills in all 5 bottles and then she fills her pillbox with 70 pills, she has 420 - 70 = <<420-70=350>>350 pills.
Antonia will have 350 pills left after 2 weeks.
#### 350