The phrase "actual problem" refers to the real or true issue at hand, rather than other perceived or less important problems. It means focusing on the main concern that needs to be addressed. Full definition
Rather than studying textbooks, students have to work on actual problems in groups of up to eight. (sciencemag.org)
Once you remove the marketing hype, what actual problems do these technologies solve, and to what extent are they being used successfully in the legal profession today? (lawtechnologytoday.org)
And they say «political point scoring» has become more important to ministers than solving actual problems. (news.bbc.co.uk)