query: Nine Positive Distinct Integers Placed Around a Circle
positive_passages.docid: 152107
positive_passages.text: Classic Circle and Adjacent Arrangement Problem
negative_passages.docid: 90076
negative_passages.text: Prove that every positive integer $n$ is a unique product of a square and a squarefree number
negative_passages.docid: 87431
negative_passages.text: $n-$circular arrangement problem
negative_passages.docid: 40763
negative_passages.text: Possible orders of permutations of $11$ symbols
negative_passages.docid: 56985
negative_passages.text: Show that every positive integer has a unique representation in the form $50k+l$...?
negative_passages.docid: 153241
negative_passages.text: Four different positive integers a, b, c, and d are such that $a^2 + b^2 = c^2 + d^2$
negative_passages.docid: 68882
negative_passages.text: Path to Combinatorics Problem [$1.11$]
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: 101734
negative_passages.text: $7$ points inside a circle at equal distances
negative_passages.docid: 81567
negative_passages.text: Pigeon hole principle to prove $a-b=9$ in subset.
negative_passages.docid: 44745
negative_passages.text: How many positive integers less than 1000 have distinct digits and are even?
negative_passages.docid: 30105
negative_passages.text: Multiples of an irrational number forming a dense subset
negative_passages.docid: 24954
negative_passages.text: Prove that there are infinitely many integers of the form $111\ldots111$ that are multiple of $n$.
negative_passages.docid: 103545
negative_passages.text: Prove "casting out nines" of an integer is equivalent to that integer modulo 9
negative_passages.docid: 110019
negative_passages.text: Generate random integers between 0 and 9
negative_passages.docid: 153302
negative_passages.text: $9$ divides $n-r(n)$ where $r(n)$ is $n$ with its digits reversed
negative_passages.docid: 58749
negative_passages.text: Choose K items from N in a circle