What are five problems in our society that today’s progressives are trying to solve? can you give detail on why it's a problem?

1. Economy - the very high taxes, credit card rates, investments, stocks, and the market in general.

2. Education - college tuition is increasing at an insane rate. Tens of thousands of dollars gone after graduating college.

3. Equality - In many places around the world the wage gap is still a tremendous problem, women are treated as less than men in third world countries. 

4. Insurance - health insurance, car insurance, and many more are so expensive that many people don't even own them. Which causes a plethora of problems.

5. Drug and Alcohol Abuse - It's becoming the norm to drink and use drugs and not even among adults but in high school as well, it's harming our children's health and might ruin our incoming generation.

I hope I've answered your question well, have a great day! :)