query: Finding two rationals that satisfy an equation
positive_passages.docid: 20619
positive_passages.text: Finding Rational numbers
negative_passages.docid: 94327
negative_passages.text: Cubic Diophantine with two variables
negative_passages.docid: 50772
negative_passages.text: Solving a Linear Diophantine Equation
negative_passages.docid: 70406
negative_passages.text: Find all values x, y and z which satisfy the equation $(x^2 + 1)(y^2 + 1) = z^2 + 1$ given that $(x^2 + 1)$ and $(y^2 + 1)$ are both primes.
negative_passages.docid: 101835
negative_passages.text: Which rationals can be written as the sum of two rational squares?
negative_passages.docid: 61134
negative_passages.text: Solving cubic equations with another method.
negative_passages.docid: 24706
negative_passages.text: Is there a rational number between any two irrationals?
negative_passages.docid: 61022
negative_passages.text: Diophantine Equations : Solving $a^2+ b^2=2c^2$
negative_passages.docid: 72670
negative_passages.text: Find three distinct triples (a, b, c) consisting of rational numbers that satisfy $a^2+b^2+c^2 =1$ and $a+b+c= \pm 1$.
negative_passages.docid: 62260
negative_passages.text: Rational Coordinates with two intersecting lines
negative_passages.docid: 114011
negative_passages.text: Algebra - Solving for three unknowns.
negative_passages.docid: 83913
negative_passages.text: Rational solutions of Pell's equation
negative_passages.docid: 82016
negative_passages.text: Given $p^2+q^2+r^2+1=s+\sqrt{p+q+r-s}$, solve for $s$
negative_passages.docid: 121759
negative_passages.text: If this equation in x has real roots find the value of a and b.
negative_passages.docid: 56803
negative_passages.text: Finding solutions to congruence equations
negative_passages.docid: 83145
negative_passages.text: Sum of rational numbers
negative_passages.docid: 56877
negative_passages.text: Show that $\sqrt{4 + 2\sqrt{3}} - \sqrt{3}$ is rational.