Finding rational solutions to this system of equations
72670
Find three distinct triples (a, b, c) consisting of rational numbers that satisfy $a^2+b^2+c^2 =1$ and $a+b+c= \pm 1$.
24837
$x^2+1=0$ uncountable many solutions
18903
Finding solutions to equation of the form $1+x+x^{2} + \cdots + x^{m} = y^{n}$
150037
Finding the simplest rational in a closed interval
121765
Semigroups and solutions of equation
41534
A system of logarithmic equations with parameters
116822
Finding the next rational number
61533
Solution af a system of 2 quadratic equations
28594
Number of integer solutions of the following equation
132931
Determining the parity of the coefficients of a quadratic given that there is a rational solution
40087
Using Modularity Theorem and Ribet's Theorem to disprove existence of rational solutions
946
How to find solutions of linear Diophantine ax + by = c?
6911
Solving 4 Quadratic Simultaneous Equations
72023
Integer solutions of the equation $x^2+y^2+z^2 = 2xyz$
22840
The sum of the first $n$ squares is a square: a system of two Pell-type-equations
30120
Find solutions for an differential equation system
63194
Find all integer solutions to $x^2-2y^2=1$