-cumque creates the equivalent of English -ever in the sense of whoever, whatever, whenever
quīcumque [m], quaecumque [f], quodcumque: whoever / whosoever; whatever / whatsoever
quāliscumque: of whatever type (kind, sort)
quandōcumque: whenever; at whatever time; as soon as 
quotiēnscumque: however often
ubicumque: wherever; in whatever place
quōcumque / quācumque: to wherever 
undecumque: from wherever
quōmodocumque: howsoever; in any way whatever
Examples:
Singular
nam pūblicae reī causā quīcumque id facit magis quam suī quaēstī … (Plautus) │ For whoever does this, more for the sake of the public than of his own benefit …
quaecumque fortūna eius fuerit (Cicero) │ whatever his fortune will be
quodcumque hominī accidit līberē (Plautus) │ whatever freely comes into a man’s head [ = whatever whim …]
Quid enim verēris quemcumque hērēdem fēcit (Cicero) │ Why should you fear whoever he has appointed his heir
Multī autem sunt, quī, quōcumque modō ad illōs sē recipere volent, recipientur (Cicero) │ But there are many who, in whatever way they wish to take themselves back to them, will be taken back
Ēripe mihi hunc dolōrem, aut minue saltem aut cōnsōlātiōne aut cōnsiliō, aut quācumque rē potes (Cicero)│ Take this grief away from me, or at any rate lessen it by your sympathy or advice or by whatever means you can. 
Plural and adverbs
Sed tamen, quīcumque sunt … (Cicero) │Still, whoever they are …
Dī tibi dent quaecumque optēs (Plautus) │ May the gods give you whatever (things) you pray for
sed hominēs benevolōs, quālēscumque sunt, grave est īnsequī contumēliā (Cicero) │ but it’s a serious thing to attack benevolent persons with insult whatever their character [i.e. whatever sort / kind they are]
Adverbs
Ubi eris? / Ubicumque libitum erit animō meō (Plautus) │ Where will you be? / Wherever it takes my fancy [ = it will have been pleasing to my mind]
Poteris ergō, undecumque coeperis ubicumque dēsierīs, quae deinceps sequentur … legere (Pliny the Younger) │ So, from wherever you begin and wherever you leave off, you will be able to read what follows next …
Quācumque iter fēcī … (Cicero) │ Wherever I went …
idque quandōcumque animadversum est, terrēre nōs potest (Celsus) │ and whenever this is observed, it can alarm us
quās quotiēnscumque cōnspiciō fleō (Plautus) │ Whenever (however often) I look at it, I weep





