The term 'BIG NAME IN PAIN RELIEF' can be solved by three different crossword solutions: Motrin (6 letters), ANACIN (6 letters), and ALEVE (5 letters). Motrin is a brand of ibuprofen, a type of non-steroidal anti-inflammatory drug (NSAID) used to reduce pain, fever, and inflammation. ANACIN is a brand of aspirin, another type of NSAID used to reduce pain, fever, and inflammation. ALEVE is a brand of naproxen, yet another type of NSAID used to reduce pain, fever, and inflammation. All three of these medications are commonly used to treat mild to moderate pain.