query: Find all integers $x,y$ satisfying
positive_passages.docid: 146169
positive_passages.text: Integer solutions to $\frac{1}{a} + \frac{1}{b} = \frac{1}{12}$.
negative_passages.docid: 116921
negative_passages.text: Find the unique pair of real numbers $(x,y)$ that satisfy $P(x)Q(y)=28$
negative_passages.docid: 139935
negative_passages.text: Show that any set of 7 distinct integers includes two integers $x$ and $y$, such that either $x-y$ or $x+y$ is divisible by 10
negative_passages.docid: 149489
negative_passages.text: 30 positive integers
negative_passages.docid: 147837
negative_passages.text: Find the parameter values satisfying conditions for all roots of an equation
negative_passages.docid: 124456
negative_passages.text: Given $x \in \mathbb{R}$ and $N \in \mathbb{N}, N>1,$ find integers $h,k$ with $0 < k \leq N $ that satisfy $\lvert{kx - h\rvert} < 1/N.$
negative_passages.docid: 15268
negative_passages.text: Find all $x,y \in \mathbb N^*$ such that $\frac{1}{x} + \frac{1}{y}=5$
negative_passages.docid: 63549
negative_passages.text: Find all integer solutions to $7595x + 1023y=124$
negative_passages.docid: 26935
negative_passages.text: find all the value of x,y z?
negative_passages.docid: 44744
negative_passages.text: Integer solutions of $xy+9(x+y)=2006$
negative_passages.docid: 74312
negative_passages.text: If Y is complete then B(X,Y) is complete
negative_passages.docid: 118538
negative_passages.text: Find all integers $x$ such that $x^2+3x+24$ is a perfect square.
negative_passages.docid: 12967
negative_passages.text: Find all $n>1$ such that $\dfrac{2^n+1}{n^2}$ is an integer.
negative_passages.docid: 142886
negative_passages.text: Find set with maximal cardinality given constraints
negative_passages.docid: 1001
negative_passages.text: Number of integer solutions of $x^2 + y^2 = k$
negative_passages.docid: 66256
negative_passages.text: Find all solutions of the equality $y^2=x^3+23$ for integers $x,y$
negative_passages.docid: 89066
negative_passages.text: Find all integers less than $m$ that are relatively prime to it