Russian-English translations for приду́мывать

• invent
  After weeks of hard work, I invented a new way to alphabetize matchbooks.
  I knew I had to invent an excuse, and quickly.
  We need a name to put in this form, so lets just invent one.
• make up
  He can make up the time next week
  I plan to make up for my failed midterm
  Cuba took limited free market-oriented measures to alleviate severe shortages of food, consumer goods, and services to make up for the ending of Soviet subsidies
• think up
  I can think up plenty of excuses not to go, but we really should attend.