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For this statement, we need not understand what a 'tove' or 'wabe' is, but we do need to understand the conjunctions (twas, and, in) and how negation affects them.
We use De Morgan's Law, which says that for two statements A and B $$ \lnot(A\cap B) = \lnot(A) \cup \lnot(B) $$
So let us denote A as "it was great", and B as "the slithy toves Did gyre and gimble in the wabe".
We then see that $\lnot A$ is the statement "it was not great".
And $\lnot B$ is the statement "at least one slithy tove did not gyre and gimble in the wabe".
Combining these together, we find that:
"Either it was not great, or at least one slithy tove did not gyre and gimble in the wabe"