Oak and maple trees, chipmunks, white-tailed deer, and black bears emerging from hibernation are all organisms that may be found in which biome?
Temperate broadleaf and mixed forest, though I'd say the example of biome in this case would most definitely be found in North America due to the inclusion of premises in your question, that being the organisms described.
This sort of woodland stretches across large areas of Americas,, with a mix of coniferous (trees such as pine) and deciduous (trees such as oak or maple), these are one of the most staple biomes of woodland found in temperate areas across the globe, being able to sustain a wide range of biodiversity due to the prevalence of being constant temperature of at least 3 to 15 °C and damp, most of the year round.
However, during the autumnal and wintry seasons, the deciduous trees go into a dormancy (that being hibernation in summary) due to the reduction in sunlight in their respective hemisphere at those times of year, shedding their leaves to not waste energy trying to photosynthesis in the lower light and temperatures.
Hope this helps.