query: Find remainder of division of $x^3$ by $x^2-x+1$
positive_passages.docid: 124869
positive_passages.text: Prime factor of $A=14^7+14^2+1$
negative_passages.docid: 120085
negative_passages.text: Compute $\int \frac{-3}{2x^2-x-1} dx$
negative_passages.docid: 117816
negative_passages.text: Is $\frac{x^2+x}{x+1}$ a polynomial?
negative_passages.docid: 103276
negative_passages.text: Solving an equation over the reals: $ x^3 + 1 = 2\sqrt[3]{{2x - 1}}$
negative_passages.docid: 128446
negative_passages.text: Why polynomial division algorithm works for $x-a$ or any monic polynomial?
negative_passages.docid: 100278
negative_passages.text: Find $\alpha^{2016} + \beta^{2016} + \alpha^{2014} + \beta^{2014} \over \alpha^{2015} + \beta^{2015}$ for zeroes of the polynomial $x^2+3x +1$
negative_passages.docid: 156022
negative_passages.text: How to perform an integer division, and separately get the remainder, in JavaScript?
negative_passages.docid: 156545
negative_passages.text: Find undetermined coefficients in polynomial quotient and remainder
negative_passages.docid: 113119
negative_passages.text: Use the division algorithm to prove that 3|(n³ + 2n) for all n ∈ ℕ
negative_passages.docid: 100336
negative_passages.text: Find an integer having the remainders $2,3,4,5$ when divided by $3,4,5,6$, respectively.
negative_passages.docid: 19459
negative_passages.text: Find remainder of $F_n$ when divided by $5$
negative_passages.docid: 107848
negative_passages.text: Finding the remainder of $\overbrace{11\ldots1}^{123 \text{ times}}$ divided by $271$
negative_passages.docid: 4475
negative_passages.text: Find the remainder when $2^{2016}$ is divided by $47$
negative_passages.docid: 142769
negative_passages.text: Let $f(x) =7x^{32}+5x^{22}+3x^{12}+x^2$. Then find its remainder in the following cases.
negative_passages.docid: 111822
negative_passages.text: Is it true that the Fibonacci sequence has the remainders when divided by 3 repeating?
negative_passages.docid: 128393
negative_passages.text: What is the remainder of dividing $14^{256}$ by $17$?
negative_passages.docid: 117167
negative_passages.text: $3^{n+1}$ divides $2^{3^n}+1$