Chucha is somewhat related to chuta but Chucha means pussy so some people say Chuta because it doesn't sound as bad.(Ex Chuta is the freak for f**k)Chuta is used more as in annoying situations.Chuta could mean variety of things depending how you use it.Chuta could mean f**k, seriously, or really. Both are Ecuadorian slang.
Say you're waiting for the light to turn green at the stoplight but it's taking a long time and you're already late or going to be late you say
Chuta madre!
Or
Chuta..
Or
Chuta tu madre!