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Omni-MATH / Find all nonnegative integer solutions (x,y,z,w) of the equation2^(x)⋅3^(y)−5^(z)⋅7^(w)=1.

Problem

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problem

Find all nonnegative integer solutions

(x,y,z,w)

of the equation

2^x\cdot3^y-5^z\cdot7^w=1.

Plain-text mathematical notation (without MathML)

Find all nonnegative integer solutions (x,y,z,w) of the equation2^(x)⋅3^(y)−5^(z)⋅7^(w)=1.

Original LaTeX notation

Find all nonnegative integer solutions $(x,y,z,w)$ of the equation\[2^x\cdot3^y-5^z\cdot7^w=1.\]

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Source and history

task_id: 2c6998ba-1bd0-5778-bab7-feaa4bd3040c
task_key: test--2c6998ba-1bd0-5778-bab7-feaa4bd3040c
task_revision_id: 2
config / split: / test

Official source

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