query: Modular Arithmetic: What is the solution in this case?
positive_passages.docid: 20161
positive_passages.text: Prove that the multiplicative inverse of $a$ modulo $m$ exists if and only if $a$ and $m$ are coprime.
negative_passages.docid: 73079
negative_passages.text: Eliminating non-integer solutions to $ab / (2\sqrt{ab} + a + b)$
negative_passages.docid: 94965
negative_passages.text: Solve $x\equiv 1\pmod2$, $x\equiv 2\pmod3$, $x\equiv 3\pmod4$, $x\equiv 4\pmod5$, $x\equiv 5\pmod6$ and $x\equiv 0\pmod7$
negative_passages.docid: 131905
negative_passages.text: Proof for exponentiation in modular arithmetic
negative_passages.docid: 77024
negative_passages.text: Find the number of solutions of $x^2=x\mod m$ for any integer $m$
negative_passages.docid: 39969
negative_passages.text: Algorithms for computing multiplicative order modulo $n$
negative_passages.docid: 36713
negative_passages.text: Solving multiple congruences by CRT = Chinese Remainder Theorem
negative_passages.docid: 60268
negative_passages.text: $\textit{Why}$ the cases in 4 $\nmid n^2 - 3?$ (bases cases in modular induction)
negative_passages.docid: 45882
negative_passages.text: Solving a congruence without Fermat's little theorem
negative_passages.docid: 70392
negative_passages.text: System of congruences with variable
negative_passages.docid: 30045
negative_passages.text: Solving linear congruences by hand: modular fractions and inverses
negative_passages.docid: 42754
negative_passages.text: Modular arithmetic: division, fractions, solving linear congruences
negative_passages.docid: 99815
negative_passages.text: Dividing versus multiplying by inverse in modular arithmetic
negative_passages.docid: 131941
negative_passages.text: Solve quadratic congruences.
negative_passages.docid: 158684
negative_passages.text: How to solve and see resolution of $13^{53} \pmod 7$ using Fermat little Theorem?
negative_passages.docid: 36031
negative_passages.text: Finding modular of a fraction
negative_passages.docid: 4972
negative_passages.text: Mod of numbers with large exponents [modular order reduction]