prompt: A frog lays her eggs over a series of 4 days.  The first day she lays 50 eggs.  The second day, she doubles her production of eggs.  The third day she lays 20 more than the second day, and the last day she doubles the first three days total.  How many eggs did the frog lay over the span of the 4 days?
messages.content: A frog lays her eggs over a series of 4 days.  The first day she lays 50 eggs.  The second day, she doubles her production of eggs.  The third day she lays 20 more than the second day, and the last day she doubles the first three days total.  How many eggs did the frog lay over the span of the 4 days?
messages.role: user
messages.content: Day 1:50
  Day 2:50(2)=100
  Day 3:100+20=<<100+20=120>>120
  Day 4:2(50+100+120)=540
  Total:50+100+120+540=<<50+100+120+540=810>>810 eggs
  #### 810
messages.role: assistant