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P30 [Number Theory] - Turkish NMO 1st Round - 2002

Source:

August 7, 2014
modular arithmetic

Problem Statement

How many integers 0 \leq x < 125 are there such that x^3 - 2x + 6 \equiv  0 \pmod {125}?
<spanclass=latexbold>a)</span> 0<spanclass=latexbold>b)</span> 1<spanclass=latexbold>c)</span> 2<spanclass=latexbold>d)</span> 3<spanclass=latexbold>e)</span> None of above <span class='latex-bold'>a)</span>\ 0 \qquad<span class='latex-bold'>b)</span>\ 1 \qquad<span class='latex-bold'>c)</span>\ 2 \qquad<span class='latex-bold'>d)</span>\ 3 \qquad<span class='latex-bold'>e)</span>\ \text{None of above}