I'll bet we all can do algebra at an early age, and we are un-taught it when start having to memorize facts.
Dogs can do calculus really. If you toss a stick into the ocean, a good fetcher can calculate where it will end up and head the stick off - it won't go the direction you threw the stick. Natural intelligence.
Bummer about your photographs! I'm moving, and I came across them during my stuff purge.