query: How many solutions are there to $ x^2 = 1 \pmod { 1155} $?
positive_passages.docid: 82571
positive_passages.text: Number of solutions of $x^2=1$ in $\mathbb{Z}/n\mathbb{Z}$
negative_passages.docid: 146491
negative_passages.text: Number of solutions of $x_1+x_2+\dots+x_k=n$ with $x_i\le r$
negative_passages.docid: 28148
negative_passages.text: Are there any simple ways to see that $e^z-z=0$ has infinitely many solutions?
negative_passages.docid: 102860
negative_passages.text: solve $3x^2 + 6x +1 \equiv 0 \pmod {19}$
negative_passages.docid: 20034
negative_passages.text: Does $a^2+b^2=1$ have infinitely many solutions for $a,b\in\mathbb{Q}$?
negative_passages.docid: 127901
negative_passages.text: If $x^2+y^2 \equiv 0\pmod{p}$, then $p \equiv 1 \pmod{4}$
negative_passages.docid: 99264
negative_passages.text: the number of positive-integer solutions that satisfy $x_1\cdot x_2\cdot x_3\cdot x_4=1,000,000$?
negative_passages.docid: 66161
negative_passages.text: How to solve the equation $n^2 \equiv 0 \pmod{584}$?
negative_passages.docid: 39993
negative_passages.text: Count the number of positive solutions for a linear diophantine equation
negative_passages.docid: 149562
negative_passages.text: How many solutions has the equation $\sin x= \frac{x}{100}$ ?
negative_passages.docid: 3563
negative_passages.text: Find all roots of $\,x^2\!\equiv x\pmod{\!900}$, i.e all idempotents in $\Bbb Z_{900}$
negative_passages.docid: 16946
negative_passages.text: How many solutions for an equation with simple restrictions
negative_passages.docid: 96185
negative_passages.text: Solutions of $x^2+y^2+z^2 = n$ in $\mathbb{Z}_2$.
negative_passages.docid: 56803
negative_passages.text: Finding solutions to congruence equations
negative_passages.docid: 155743
negative_passages.text: Why does the equation $x^2\equiv2 \pmod 5$ have no solutions?
negative_passages.docid: 127945
negative_passages.text: Number of solutions to the congruence $x^q \equiv 1 \mod p$.
negative_passages.docid: 22029
negative_passages.text: Solving modular arithmetic questions