Usually, I saw sentences "carry out" used as start or implement rule.
------I'm not a teacher, but I have quite much interest about usage of phrasal verbs.
Informally - "I can't believe he actually cracked it." (The 'it' doesn't have to be an egg or a strongbox. ;-) If you 'crack it' you just succeed in something that you - or someone else - thought would be difficult.)