conversations.from: human
conversations.value: Provide a step by step solution for the following math problem: Derek finally gets his own allowance. He puts $2 away in January, $4 away in February, $8 away in March, $16 away in April and follows this savings pattern through to December. How much money does he have to spare and save by December?
conversations.from: assistant
conversations.value: Derek doubles his allowance savings each month, so in May, Derek has $16 * 2 = $32.
  In June, Derek has $32 * 2 = $64.
  In July, Derek has $64 * 2 = $128.
  In August, Derek has $128 * 2 = $256.
  In September, Derek has $256 * 2 = $512.
  In October, Derek has $512 * 2 = $1024.
  In November, Derek has $1024 * 2 = $2048.
  By December, Derek has $2048 * 2 = $4096 to save.