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MATH / Given that 33^{-1} equiv 77 pmod{508}, find 11^{-1} pmod{508} as a residue modulo 508. (Give an answer between 0 and 507, inclusive.)

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Given that $33^{-1} \equiv 77 \pmod{508}$, find $11^{-1} \pmod{508}$ as a residue modulo 508. (Give an answer between 0 and 507, inclusive.)
Plain-text mathematical notation (without MathML)
Given that $33^{-1} \equiv 77 \pmod{508}$, find $11^{-1} \pmod{508}$ as a residue modulo 508.  (Give an answer between 0 and 507, inclusive.)
Original LaTeX notation
Given that $33^{-1} \equiv 77 \pmod{508}$, find $11^{-1} \pmod{508}$ as a residue modulo 508.  (Give an answer between 0 and 507, inclusive.)

level

Level 5

type

Number Theory

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Source and history

task_id
2401235a-d43d-58a8-9bae-953755906115
task_key
number~5ftheory--test--2401235a-d43d-58a8-9bae-953755906115
task_revision_id
1
config / split
number_theory / test

Official source

initial import