query: $ 36 ÷ 6( 9 – 3) = ?$ $1$ or $36$
positive_passages.docid: 19449
positive_passages.text: What is $48\div2(9+3)$?
negative_passages.docid: 52454
negative_passages.text: If $x^3 =x$ then $6x=0$ in a ring
negative_passages.docid: 15210
negative_passages.text: Group of order 6 proof
negative_passages.docid: 90300
negative_passages.text: Find the remainder when $10^{400}$ is divided by 199?
negative_passages.docid: 112147
negative_passages.text: Proving $9$ divides $n^3 + (n+1)^3 + (n+2)^3$
negative_passages.docid: 48605
negative_passages.text: Distinct digits in a combination of 6 digits
negative_passages.docid: 38882
negative_passages.text: If $n$ is a positive integer such that $n^3 − n − 6 = 0$, then, for every positive integer $m$ with $m \not = n$, $m^3 − m − 6 \not = 0$.
negative_passages.docid: 95786
negative_passages.text: Sum $\frac{1}{6} + \frac{5}{6\cdot 12} + \frac{5\cdot 8}{6\cdot 12\cdot 18} + \frac{5\cdot 8\cdot 11}{6\cdot 12\cdot 18\cdot 24}+\ldots$
negative_passages.docid: 124248
negative_passages.text: $1+\frac {1}{4}(1+\frac {1}{4}) +\frac {1}{9}(1+\frac {1}{4} +\frac {1}{9})+....$
negative_passages.docid: 122916
negative_passages.text: Does $[0.9999....]=1$?
negative_passages.docid: 102429
negative_passages.text: There are 2 groups of order 6 (up to isomorphism)
negative_passages.docid: 74122
negative_passages.text: $ 2.28319 = 0 $ !? - How do I spot the mistake?
negative_passages.docid: 23576
negative_passages.text: Calculating $1+\frac13+\frac{1\cdot3}{3\cdot6}+\frac{1\cdot3\cdot5}{3\cdot6\cdot9}+\frac{1\cdot3\cdot5\cdot7}{3\cdot6\cdot9\cdot12}+\dots? $
negative_passages.docid: 138501
negative_passages.text: Is $\mathbf{Q}(\sqrt{2},\sqrt{3}) = \mathbf{Q}(\sqrt{6})$?
negative_passages.docid: 77383
negative_passages.text: Prove that $n^3=n \text{ mod }6$ for every integer $n$.
negative_passages.docid: 33992
negative_passages.text: Let $\theta$ be a root of $p(x)=x^3+9x+6$, find the inverse of $1+\theta$ in $\mathbb{Q(\theta)}$
negative_passages.docid: 118197
negative_passages.text: Solve $n(n+1)(n+2)=6m^3$ in positive integers