The origin of Akk. barsillu (the reading barsīlu is also possible) is obscure.
The Akk. word is attested once in a late lexical list (if the restoration is correct) where it corresponds to Sum. (dug)BAR.si-il-la “cracked pot” (cf. PSD B 128, Sallaberger 1996, 98). The exact pronunciation of the Akk. word is uncertain. It appears to be a late “learned” borrowing from Sumerian (III or later).
According to Limet 1976, 24, it could be a loanword from Sum. BAR.SI 'an emmer flour' (PSD B 127).
Or bāru, barru. No etymology can be suggested.
No definitive etymology can be suggested. The Akkadian verb has been usually identified with Hbr. bˀr (pi.) “to explain, to elucidate” (HALOT 106), JPA bˀr (pa.) “to explain, to interpret” (DJPA 83). Of interest is also Arb. bwr “to try, to prove by experiment or experience, to examine” (Lane 274).
Cf. bussumu 'pleasant' (CDA 50).
No etymology can be suggested. Possibly related to bis “then”.
No definitive etymology can be proposed.
The variant maskiltu (CAD, CDA) is due to a misreading (von Soden 1982, 590). No etymology can be suggested.
The Akk. mathematical term basû is a loanword from the Sum. verbal form ba-SI/SI₈(-e) which can be used as a noun in mathematical texts.