The phrase "put up to" means to encourage or persuade someone to do something. Some synonyms for this phrase include "prompt," "instigate," "incite," "provoke," and "urge." These words convey a sense of nudging someone towards action, whether it be positive or negative. Other alternatives to "putting up to" include "cajole," "coax," "manipulate," and "influence." When you encourage someone to do something, it could be for their benefit, or to further your own agenda. Therefore, it is important to consider the connotation behind the synonym before using it. Nonetheless, there are many different alternatives for "putting up to," from the gentle to the forceful.