query: How do I solve $\frac{-1}{3}|6−5x|+2<1$?
positive_passages.docid: 146786
positive_passages.text: How do I solve these absolute value equations?
negative_passages.docid: 6721
negative_passages.text: math fallacy problem: $-1= (-1)^3 = (-1)^{6/2} = \sqrt{(-1)^6}= 1$?
negative_passages.docid: 109706
negative_passages.text: Fast way to come up with solutions to $x(x-1)(x-2)(x-3)=1$?
negative_passages.docid: 47325
negative_passages.text: Limit of quotients with square roots: $\lim_{x\to2} \frac{\sqrt{6-x}-2}{\sqrt{3-x}-1}$
negative_passages.docid: 65645
negative_passages.text: Express $w$ and $\frac1w$ for $w=\frac {\sqrt2+\sqrt3}{\sqrt5-\sqrt3}$ in the simplest form with a rational denominator
negative_passages.docid: 145444
negative_passages.text: Solve $\dfrac{1}{1+\frac{1}{1+\ddots}}$
negative_passages.docid: 149254
negative_passages.text: Solving $y^3=x^3+8x^2-6x+8$
negative_passages.docid: 82170
negative_passages.text: Solve $x = \frac{1}{2}\tan(x)$
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: 82931
negative_passages.text: How do I solve a linear Diophantine equation with three unknowns?
negative_passages.docid: 54078
negative_passages.text: The minimum value of $\frac{(x+\frac{1}{x})^6-(x^6+\frac{1}{x^6})-2}{(x+\frac{1}{x})^3+x^3+\frac{1}{x^3}}$
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: 41645
negative_passages.text: Checking my understanding: $1 - 1 + 1 - 1 + 1 - ... = \frac{1}{2}$
negative_passages.docid: 153796
negative_passages.text: How to define fractional factorials, like 3.6!?
negative_passages.docid: 31776
negative_passages.text: How to find $\lim_{x\to 0}\frac{\tan 3x}{\tan 5x}$?
negative_passages.docid: 29989
negative_passages.text: Solve $x^2+5x+6 \equiv 0 \pmod{\!11\cdot 17}$
negative_passages.docid: 61302
negative_passages.text: Find the least value of $ \sec^6 x +\csc^6 x + \sec^6 x\csc^6 x$