query: How to solve : $|3 x-2|<|x+1|$
positive_passages.docid: 22087
positive_passages.text: Find all real numbers x such that $ |5x-1| ≤ |3x-2|$
negative_passages.docid: 128091
negative_passages.text: Find the range of possible values of $\sqrt{a^2+a+1}-\sqrt{a^2-a+1}$
negative_passages.docid: 85525
negative_passages.text: Prove that $x^3+x+1$ splits in $Z_2[x]/(x^3+x+1)$
negative_passages.docid: 144863
negative_passages.text: Finding integer solutions to $y^2=x^3-2$
negative_passages.docid: 15985
negative_passages.text: simplify $(a_1 + a_2 +a_3+... +a_n)^m$
negative_passages.docid: 28502
negative_passages.text: How to solve $x^3=-1$?
negative_passages.docid: 23112
negative_passages.text: Solving an equation with rational expressions (step by step)
negative_passages.docid: 69791
negative_passages.text: How to solve: T(n) = T(n - 1) + n
negative_passages.docid: 73277
negative_passages.text: Prove $[\sqrt{x}+\sqrt{x+1}]=[\sqrt{4x+2}], x \in \Bbb N$
negative_passages.docid: 64457
negative_passages.text: Prove:$|x-1|+|x-2|+|x-3|+\cdots+|x-n|\geq n-1$
negative_passages.docid: 51864
negative_passages.text: $\left( \frac{1 \cdot 2}{p} \right) + \left( \frac{2 \cdot 3}{p} \right) + \cdots + \left( \frac{(p-2)(p-1)}{p} \right) = -1$
negative_passages.docid: 110408
negative_passages.text: Solving for $A$ in $Ax = b$
negative_passages.docid: 13789
negative_passages.text: solve $T(n)=T(n-1)+T(\frac{n}{2})+n$
negative_passages.docid: 7066
negative_passages.text: Calculate simple expression: $\sqrt[3]{2 + \sqrt{5}} + \sqrt[3]{2 - \sqrt{5}}$
negative_passages.docid: 23638
negative_passages.text: $a^2b^2+a^2c^2+b^2c^2\leq 3$
negative_passages.docid: 38662
negative_passages.text: If $a,b$ are the roots of the equation $2 x^2 -3 x +1 = 0$, find an equation whose roots are $a/(2b +3)$, $b/(2a +3)$
negative_passages.docid: 149254
negative_passages.text: Solving $y^3=x^3+8x^2-6x+8$