The problem and the conflict of any story is the same. By definition a conflict of a story is the struggle, problem, that the character or characters have to over come. In the novel Black Beauty the conflict falls into the category of man vs. man. Interesting considering the man character is a horse; however, in this case, the horse is a family member that gets passed along from home to home. If you examine how that occurs in the novel you will have a strong response to the question of what is the conflict of this novel. Best of luck.