query: Finding the "triangular root" of a number.
positive_passages.docid: 61871
positive_passages.text: Formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, ...$
negative_passages.docid: 83910
negative_passages.text: Integer part of $\sqrt[3]{24+\sqrt[3]{24+\sqrt[3]{24+\cdots}}}$
negative_passages.docid: 34227
negative_passages.text: Continued fraction of a square root
negative_passages.docid: 61374
negative_passages.text: The product of the two roots of $\sqrt{2014}x^{\log_{2014} x}=x^{2014}$ is an integer. Find its units digit
negative_passages.docid: 59160
negative_passages.text: Roots of a given equation
negative_passages.docid: 8771
negative_passages.text: Finding the nth non square free number
negative_passages.docid: 45227
negative_passages.text: If $\sin \theta+\cos\theta+\tan\theta+\cot\theta+\sec\theta+\csc\theta=7$, then $\sin 2\theta$ is a root of $x^2 -44x +36=0$ My own bonafide attempt.
negative_passages.docid: 104075
negative_passages.text: Cube roots of the complex numbers 1+i?
negative_passages.docid: 107694
negative_passages.text: How to test if a number is a primitive root?
negative_passages.docid: 81975
negative_passages.text: Sequence of triangles with exponentiated sides
negative_passages.docid: 116970
negative_passages.text: On the number divisors of a number
negative_passages.docid: 45775
negative_passages.text: In a $\triangle ABC,$ Evaluation of minimum value of $\cot^2 A+\cot^2 B+\cot^2 C$
negative_passages.docid: 20619
negative_passages.text: Finding Rational numbers
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: 157710
negative_passages.text: $x^{3}-x-2=0$ how do I find the roots?
negative_passages.docid: 78407
negative_passages.text: Are there infinitely-many numbers that are both square and triangular?
negative_passages.docid: 126445
negative_passages.text: Proving the second root of a quadratic equation