千番に一番の兼ね合い

せんばんにいちばんのかねあい

something so difficult that one doesn't know if there's even a 1 in 1000 chance of success

兼ね兼ね

かねがね かねかね

often, already, for quite a while, for some time now

兼ねない

かねない

quite capable of..., might happen, not unlikely to

兼ね役

かねやく

carrying on a second line of work

兼ねる

かねる

to be unable to, to find difficult (unpleasant, awkward, painful) to do

気兼ね

きがね

hesitance, diffidence, feeling constraint, fear of troubling someone, having scruples about doing something

し兼ねない

しかねない

capable of anything, liable to do

言い兼ねる

いいかねる

to find it hard to say

し兼ねる

しかねる

to be reluctant to do, to hesitate to do, to refuse to do, to be unable to do

遣り兼ねない

やりかねない

capable of anything, liable to do

申し兼ねる

もうしかねる

I'm sorry to trouble you, Excuse me for making such a request

兼ね備える

かねそなえる

to have both, to possess both, to combine with

堪り兼ねる

たまりかねる

to be unable to bear (something) any longer, to be unable to put up with (something) any longer

堪え兼ねる

たえかねる こたえかねる

to be unable to endure, to be unable to stand (something), to lose patience

兼ね仕える

かねつかえる

to serve at the same time

待ち兼ねる

まちかねる

to wait impatiently for

兼

けん

cum (e.g. bedroom-cum-study), holding both roles (e.g. Prime Minister and Minister of Foreign Affairs), and, in addition, concurrently, at the same time

両職を兼ねる

りょうしょくをかねる

to hold two offices concurrently

分かり兼ねる

わかりかねる

to be difficult to ascertain, to be difficult to understand