I used the synaptic package manager to install "gcc" amd "make" and both
packages installed ok. When one package blocks another, you either need to
remove, or more often upgrade, the blocking package.
You said that: gcc-4.4: Depends: gcc-4.4-base (= 4.4.3-4ubuntu5) but
4.4.4-14ubuntu5 is installed.
But I don't understand. A quick search in synaptec package manager for
"4.4.3-4ubuntu5" finds nothing.
Try running the update manager, maybe that will upgrade the offending
package. Failing that give us the complete output of
"sudo apt-get install gcc"
- Good Luck!