This invention is directed generally to triazolopyridine compounds that generally inhibit p38 kinase, TNF, and/or cyclooxygenase activity. Such triazolopyridine include compounds generally corresponding in structure to the following formula: ##STR00001## wherein R.sup.1, R.sup.2, R.sup.3, R.sup.4, and R.sup.5 are as defined in this specification. This invention also is directed to compositions of such triazolopyridines (particularly pharmaceutical compositions), intermediates for the syntheses of such triazolopyridines, methods for making such triazolopyridines, and methods for treating (including preventing) conditions (typically pathological conditions) associated with p38 kinase activity, TNF activity, and/or cyclooxygenase-2 activity.