How successful were the Radical Republicans in managing these problems?

Answer 1

This looks like a homework problem, and there does need to be a statement of what problems. However, I'll see if I can guess at it.

The Radical Republicans generally refer to the time right after the Civil War where the more fanatical wing of the Party was in control of Congress. They differed with Lincoln on how Reconstruction was to take place, with them want to be more punitive on the South. When Lincoln was killed, Andrew Johnson came to office looking to hold to Lincoln's less retributive approach.

I suppose that the problems primarily deal with how Reconstruction progressed. It was pretty much a mixed result. While there were federal governors of the occupied states, the rights of the newly-freed slaves were reasonably well defended. Indeed, there were several African-American congressmen and an African-American senator elected. However, there was often harassment of freed slaves by the Ku Klux Klan, when they were at the height of their power. Also terrified were Southerners who worked with federal officials and Northerners who came to aid in Reconstruction efforts.

The Radical Republicans were in constant conflict with President Johnson, as he worked against punitive measures that Congress was attempting to impose. However, the Republicans had veto-proof majorities, so they were able to get some of their agenda adopted. The result was a mixed signal sent to the South about their place in the post-Civil War Union. This tended to cause the Democrats, conservative in the South, to return to power once federal troops pulled out of a state, resulting in disenfranchisement of African-Americans that lasted about 100 years.

Hope that gives you some ideas for your question.

Answer 2

which problems?

Answer 3

please edit your question and add details
as to what problems