Synonyms for Shall:

n.

might, want to, be about to, may, must, be obliged, what if, I thought (that), how about...?, Why-not, maybe, intend, could, perhaps, it's just a thought. pick someone's brains, turn to, ask around, look to, sound out, consult. used to, Cannot, can. •shall (noun)
will.

v.

•be going to (verb)
want to, be about to, be obliged, must, will, intend.

Other synonyms:

Cannot, ask around, sound out. must, used to, consult. could, may. might. can. •Other relevant words:
may, must, be about to, could, be obliged, intend, want to, Cannot.

Usage examples for shall

1. What shall I do for him?" – Travels in the Great Desert of Sahara, in the Years of 1845 and 1846 by James Richardson

2. Well, what shall we do now? – Virgin Soil by Ivan S. Turgenev

3. No, and I never shall – The Day of Judgment by Joseph Hocking