Smart pointers are objects which own dynamically allocated memory, and automatically free that memory when they go out of scope. std::unique_ptr and std::shared_ptr are examples of some types of smart pointers.
auto_ptr (if that's what they mean) is a kind of smart pointer... similar to unique_ptr in that it has sole ownership of memory, but does not have move semantics and therefore was deprecated in C++11.
Or if they mean auto as in the keyword auto then that's just a normal pointer which may or may not point to dynamically allocated memory, and certainly does not automatically free it.