radiator leaks...
My experience was that the seam between tank and core failed. I had the end tank taken off, core rodded, then all soldered up. Low pressure aire testing in a water tank revealed a small leak in one of the tubes, which was cleaned and soldered shut.
Having watched the entire process, I think I'd try it myself next time. You need a torch, solder, flux, and "box" slightly bigger than the rad which will hold enough water to submerge it, and a source of low pressure (less than 15 psi) air.
The only "trick" to the work was that as a section of tank/core solder was heated to molten, the guy used a shot of compressed air to blow out the solder. He was obviously very well experienced in the work and there was no wasted motion... what do you expect from an old-timer at a radiator shop, right? I paid cash with a generous tip and we both were happy.