query: Determine all pairs $(x,y)$ of integers
positive_passages.docid: 15753
positive_passages.text: Solve the following equation in positive integers $x$ and $y$
negative_passages.docid: 5595
negative_passages.text: $x^y = y^x$ for integers $x$ and $y$
negative_passages.docid: 48597
negative_passages.text: Find all ordered pairs $(a,b)$ such that $1/a + 1/b = 3/2018$ and $a,b$ are positive integers
negative_passages.docid: 74312
negative_passages.text: If Y is complete then B(X,Y) is complete
negative_passages.docid: 106030
negative_passages.text: Find all the positive integer
negative_passages.docid: 96861
negative_passages.text: How find all ordered pairs $(m,n)$ such $\frac{n^3-1}{mn-1}$ is an integer
negative_passages.docid: 83496
negative_passages.text: Math contest integer triplet problem: $x + y + z + xy + yz + xz = xyz − 1$
negative_passages.docid: 30136
negative_passages.text: Proof that a Combination is an integer
negative_passages.docid: 73519
negative_passages.text: Determine all functions satisfying $f(x + f(x + y)) + f(xy) = x + f(x + y) +yf(x)$
negative_passages.docid: 34029
negative_passages.text: Find intersection of pairs of straight lines
negative_passages.docid: 22391
negative_passages.text: Is the set of all pairs of real numbers uncountable?
negative_passages.docid: 88189
negative_passages.text: Finding all integer solutions of $5^x+7^y=2^z$
negative_passages.docid: 93330
negative_passages.text: Cardinality of all cardinalities
negative_passages.docid: 74827
negative_passages.text: Integer ordered pair of $(x,y)$ in complex algebraic equation
negative_passages.docid: 82207
negative_passages.text: Number of Pairs of Subsets
negative_passages.docid: 91451
negative_passages.text: find all positive integer $m,n$
negative_passages.docid: 8504
negative_passages.text: Factoring $x^n + y^n$ over the integers