Ulysses by James Joyce
problem

Leopold Bloom Telemachus
Nestor
Proteus
Calypso
Lotus-Eaters
Hades
Aeolus
Lestrygonians
Scylla and Charybdis
Wandering Rocks
Sirens
Cyclops
Nausicaa
Oxen of the Sun
Circe
Eumeus
Ithaca
Penelope

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Ulysses by James Joyce.
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There are 15 occurrences of the word:   problem

[Telemachus] [744] --Well? Stephen said. The problem is to get money. From whom? From the
[Telemachus] [1003] That's our national problem, I'm afraid, just now.
[Nestor] [1366] Sitting at his side Stephen solved out the problem. He proves by
[Oxen of the Sun] [19292] womb consequent upon the menopause, the problem of the perpetration of
[Oxen of the Sun] [19567] science cannot answer--at present--such as the first problem submitted by
[Oxen of the Sun] [19577] SUCCUBITUS FELIX of the passive element. The other problem raised by the
[Circe] [22554] entire year to the study of the religious problem and the summer months
[Eumeus] [25741] problem as to whether he had let himself be badly bamboozled to judge by
[Ithaca] [28498] Which domestic problem as much as, if not more than, any other frequently
[Ithaca] [29078] Because some years previously in 1886 when occupied with the problem of
[Ithaca] [29101] this problem for solution, he had conjectured as a working hypothesis
[Ithaca] [29111] And the problem of possible redemption?
[Ithaca] [29241] To Stephen: the problem of the sacerdotal integrity of Jesus circumcised
[Ithaca] [29243] unnecessary servile work) and the problem as to whether the divine
[Ithaca] [29875] secular problem of the quadrature of the circle, government premium