There fact that they can't solve problems without us is why we can leave them alone in our houses. Can you imagine a dog with great problem solving skills in your house all day?
• Successfully swiped a (new!) jar of peanut butter from a high up rack in the kitchen without breaking anything
• Broke two small holes through the plastic lid with her incisors
• Unscrewed the lid(!)
• Licked the entire thing empty
RIP my German Shepherd Afghan Hound Mix.
If I had the money, spacetime & resources for it, I'd try to breed some hybrids from Shiba Inu, New Guinea singing dogs (assuming I could do so without endangering the population), Basenji, Huskies, Ibizan Hounds, Border Collies, and a bunch of other breeds, to try to find a new breed with extremely wideband vocalization abilities, few genetic health issues, and very high intelligence. (Haven't found a breed with novel hips yet, however. Most videos one sees of dogs walking upright involve extremely cruel training methods to force the animal into an unnatural behavior which damages their hips - not something one'd want.)
Did you know? Humans have two mutations in the FOXP2 gene affecting the protein structure, one of which dogs also have (not the one famed for causing a change in language skills however. But even so, that seems interesting.)
I'm not sure what you mean, could you elaborate? Do you mean they might be able to figure out how to steal the meat in the freezer, escape, play with the printer machine etc...