query: Find an n such that the equation $x^2+x=0$ in mod n has 4 solutions
positive_passages.docid: 151732
positive_passages.text: Number of solutions of polynomials in a field
negative_passages.docid: 103832
negative_passages.text: Number of solutions of $x_1 + x_2 + x_3 + x_4 = 14$ such that $x_i \le 6$
negative_passages.docid: 155012
negative_passages.text: Solving quadratic equations in modular arithmetic
negative_passages.docid: 126820
negative_passages.text: How many positive integer solutions are there to the equality $x_1+x_2+...+x_r= n$?
negative_passages.docid: 131941
negative_passages.text: Solve quadratic congruences.
negative_passages.docid: 71756
negative_passages.text: diophantine equation: $x^2 +y^2 = z^n$
negative_passages.docid: 133164
negative_passages.text: Rational solutions for $x^2+y^2=3$
negative_passages.docid: 153170
negative_passages.text: Find the number of solutions of the equation $e^{4x}+e^{3x}-4e^{2x}+e^x+1=0$
negative_passages.docid: 59091
negative_passages.text: A quartic diophantine equation
negative_passages.docid: 16946
negative_passages.text: How many solutions for an equation with simple restrictions
negative_passages.docid: 54608
negative_passages.text: How to find all solutions of $4^x-3^x=1$?
negative_passages.docid: 144851
negative_passages.text: For a prime $p \equiv 1$ or $3$ (mod $8$), show that the equation $x^{2} + 2y^{2} = p$ has a solution.
negative_passages.docid: 146753
negative_passages.text: Find $x$ such that $(x^2 + 4x + 3)^x + (2x + 4)^x = (x^2 + 4x + 5)^x$
negative_passages.docid: 117352
negative_passages.text: Show $x^n+ax+b=0$ has most two solutions
negative_passages.docid: 56803
negative_passages.text: Finding solutions to congruence equations
negative_passages.docid: 31122
negative_passages.text: How could I find $x$ in this equation $x^2-x+6 \equiv 0 \pmod {9}$
negative_passages.docid: 152591
negative_passages.text: For which prime numbers $p$ does the congruence $x^2 + x + 1 \equiv 0 \pmod{p}$ have solutions?