Can't Trade with Villagers (from eggs, cured, or from farm)

In my world, the only villagers I can trade with are the ones that are in villages. I cured a zombie villager... he offers no trades. I made a villager farm... the babies grow up and offer no trades. I used an egg (in survival mode) to create villagers... no trades. When I use a villager egg in creative mode... they offer trades.