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MATH / Determine the number of integers x such that 0≤x<12 and x satisfies the following system of equations: …

Problem

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problem

Determine the number of integers xx such that 0≤x<120\le x< 12 and xx satisfies the following system of equations: \begin{align*} &x-1\equiv 1-x\pmod {12},\\ &x-2\equiv 2-x\pmod{12}. \end{align*}
Plain-text mathematical notation (without MathML)
Determine the number of integers x such that 0≤x<12 and x satisfies the following system of equations: \begin{align*}
&x-1\equiv 1-x\pmod {12},\\
&x-2\equiv 2-x\pmod{12}.
\end{align*}
Original LaTeX notation
Determine the number of integers $x$ such that $0\le x< 12$ and $x$ satisfies the following system of equations: \begin{align*}
&x-1\equiv 1-x\pmod {12},\\
&x-2\equiv 2-x\pmod{12}.
\end{align*}

level

Level 4

type

Number Theory

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Source and history

task_id
827fec94-a2f4-57fc-925d-8009ff999a93
task_key
number~5ftheory--test--827fec94-a2f4-57fc-925d-8009ff999a93
task_revision_id
1
config / split
number_theory / test

Official source

initial import