query: What is the number of possible $ x$ values in $\frac{x}{100}= \sin(x)$
positive_passages.docid: 149562
positive_passages.text: How many solutions has the equation $\sin x= \frac{x}{100}$ ?
negative_passages.docid: 65975
negative_passages.text: Calculating $\lim_{n\to\infty}\sqrt{n}\sin(\sin...(\sin(x)..)$
negative_passages.docid: 133874
negative_passages.text: Proof that $\lim_{n\to\infty}{\sin{100n}}$ does not exist
negative_passages.docid: 55302
negative_passages.text: Rational values of trigonometric functions
negative_passages.docid: 155148
negative_passages.text: Why is $\sin 30^\circ=\frac{1}{2}$
negative_passages.docid: 99795
negative_passages.text: Derivative of piece-wise function given by $x\sin\frac1x$ at $x=0$
negative_passages.docid: 85249
negative_passages.text: Evaluating: $\lim\limits_{x\to0}\left(\frac{\sin x}{x}\right)^{{6}/{x^{2}}}$
negative_passages.docid: 2402
negative_passages.text: Does $\sin n$ have a maximum value for natural number $n$?
negative_passages.docid: 150734
negative_passages.text: Solving $\lim\limits_{x\to0} \frac{x - \sin(x)}{x^2}$ without L'Hospital's Rule.
negative_passages.docid: 98380
negative_passages.text: $x^{20}=1$ for all $x\in U(100)$
negative_passages.docid: 113765
negative_passages.text: $\lim_{x\to0} \frac{x-\sin x}{x-\tan x}$ without using L'Hopital
negative_passages.docid: 2944
negative_passages.text: How many triples $(x,y,n)$ are there such that $x^n - y^n = 2^{100}$
negative_passages.docid: 77024
negative_passages.text: Find the number of solutions of $x^2=x\mod m$ for any integer $m$
negative_passages.docid: 29424
negative_passages.text: Maximum value of $\sin A+\sin B+\sin C$?
negative_passages.docid: 37514
negative_passages.text: How many integers less than $1000$ can be expressed in the form $\frac{(x + y + z)^2}{xyz}$?
negative_passages.docid: 131310
negative_passages.text: Evaluating $\dfrac{1}{\sin(2x)} + \dfrac{1}{\sin(4x)} + \dfrac{1}{\sin(8x)} + \dfrac{1}{\sin(16x)}$
negative_passages.docid: 17168
negative_passages.text: Find the value of $\sin\frac{2\pi}{7}+\sin\frac{4\pi}{7}+\sin\frac{8\pi}{7}$