AppleScript calcule time

It doesn't work because, the shell try to change a 'string', not to set a variable.

The command as example:

do shell script "if [[ $(echo " & quoted form of input & ") =~ ')' ]]; then " & quoted form of input & "=\"$(echo \"${" & quoted form of input & "//)/}\")\"; fi; "

After the concatenation (Look at the Events in the script editor), the command is:

do shell script "if [[ $(echo 'это тест)))') =~ ')' ]]; then 'это тест)))'=\"$(echo \"${'это тест)))'//)/}\")\"; fi; "

So, put the content of the AppleScript's variable into a variable in the shell (I remove the echo commands, because it's useless), like this:

set input to "это тест)))"
set output to do shell script "input=" & (quoted form of input) & "; if [[  \"$input\" =~ ')' ]]; then input=${input//)/}; fi; export PATH=\"/usr/local/bin:$PATH\"; /usr/local/bin/trans -e google -b :en \"$input\""
display dialog output

To properly set a more or less current system date and time with date and wget use:

sudo date -f "%d %b %Y %H:%M:%S %Z" "$(wget -qSO- --max-redirect=0 google.com 2>&1 | grep Date: | cut -d' ' -f5-9)"

Using ... cut -d' ' -f5-8)" (see your comment) will omit the time zone and you would have to add 1 or 2 hours depending on the state of the day light saving time to adjust your local time.

The result of wget -qSO- --max-redirect=0 google.com 2>&1 | grep Date: | cut -d' ' -f5-9 is something like 12 May 2017 12:17:00 GMT.

So the date/time format of the date command to set date/time has to be %d %b %Y %H:%M:%S %Z. Since May is the short as well as the long name of the month and we don't really know the format of the month's name in Google's reply, %b may have to be replaced by %B in June :-).

Due to retention and other deficiencies this is not very accurate and the ∂ is up to 3.5 seconds (usually 0.32 seconds here) compared to the time received via ntp.

To get rid of the sntp error mentioned in your comment, do the following:

sudo touch /var/db/ntp-kod
sudo chmod 666 /var/db/ntp-kod

Now sntp fr.pool.ntp.org and sudo sntp -s fr.pool.ntp.org should work.