query: Is ${x+\frac 1x}$ equal an integer number, only $x=1$ ? If, $x>0$.
positive_passages.docid: 62792
positive_passages.text: Can sum of a rational number and its reciprocal be an integer?
negative_passages.docid: 123802
negative_passages.text: Is the integral of $\frac{1}{x}$ equal to $\ln(x)$ or $\ln(|x|)$?
negative_passages.docid: 146169
negative_passages.text: Integer solutions to $\frac{1}{a} + \frac{1}{b} = \frac{1}{12}$.
negative_passages.docid: 72278
negative_passages.text: What is the value of $\frac{\sin x}x$ at $x=0$?
negative_passages.docid: 17707
negative_passages.text: Why is ${x^{\frac{1}{2}}}$ the same as $\sqrt x $?
negative_passages.docid: 140086
negative_passages.text: Does $3-4+1$ equal $0$ or $-2$.. or maybe $2$?
negative_passages.docid: 107990
negative_passages.text: Does there exist an integer $x$ satisfying the following congruences?
negative_passages.docid: 97684
negative_passages.text: Show $\frac{(2n)!}{n!\cdot 2^n}$ is an integer for $n$ greater than or equal to $0$
negative_passages.docid: 33786
negative_passages.text: Proof that a certain fraction is always an integer
negative_passages.docid: 140260
negative_passages.text: Is $\int \frac{1}{2x} \, dx $ equal to $\frac{\ln|2x|}{2}+ C$ or $\frac{\ln|x|}{2}+ C$
negative_passages.docid: 16264
negative_passages.text: Why does $x$ divided by zero not equal $x$?
negative_passages.docid: 109192
negative_passages.text: Intuitive reason why $ \frac1j > \int_{j}^{j+1} \frac1x dx $ for $j$ < $x$
negative_passages.docid: 7802
negative_passages.text: Showing $\prod\limits_{i<j} \frac{x_i-x_j}{i-j}$ is an integer
negative_passages.docid: 27371
negative_passages.text: A natural number multiplied by some integer results in a number with only ones and zeros
negative_passages.docid: 95181
negative_passages.text: If the sum of two irreducible fractions is an integer, then the denominators are equal
negative_passages.docid: 80710
negative_passages.text: Does $\int_{-1}^1 \frac 1 x dx$ equal zero?
negative_passages.docid: 124097
negative_passages.text: How does += (plus equal) work?