31. The puzzle word is ipecacuanha.
32.
Johnson’s cat went up a tree,
Which was sixty feet and three;
Every day she climbed eleven,
Every night she came down seven.
Tell me, if she did not drop,
When her paws would touch the top—
is solved thus:—As each day and night the cat climbed up eleven feet, and came down seven, the daily upward gain was four feet, and thirteen days would bring her fifty-two feet up the tree. Then on the fourteenth day she mounted the remaining eleven feet, and was at the top, so that no coming down seven feet is to be taken into account, and she attains her place in fourteen days.
33.
A third of six behind them fix,
A third of six before;
Thus makes two nines, when all combines,
Exactly fifty-four—
is solved:—