Intractably refers to a situation or problem that is difficult or impossible to manage or solve. There are several synonyms that can be used for intractably, including stubbornly, inexorably, intransigently, immovably, unbendingly, adamantly, obdurately, persistently, and firmly. Each of these words can be used to describe a situation or problem that is resistant to change or compromise. For instance, a team of negotiators might find themselves intractably at odds with each other over a particular issue, making it extremely difficult to move forward with their negotiations. Alternatively, a complex problem that defies easy solutions might be described as intractably difficult to solve.