query: Determine the remainder, when $77^{200}$ is divided by $54$.
positive_passages.docid: 360
positive_passages.text: Modular exponentiation by hand ($a^b\bmod c$)
negative_passages.docid: 79377
negative_passages.text: Find the last $2$ digits of $7^{7^{7^{10217}}}$
negative_passages.docid: 7043
negative_passages.text: mod [= remainder] operation (and relation), name and meaning
negative_passages.docid: 2300
negative_passages.text: Determine the remainder when $f(x) = 3x^5 - 5x^2 + 4x + 1$ is divided by $(x-1)(x+2)$
negative_passages.docid: 76941
negative_passages.text: How do you find the value of $\sum_{r=0}^{44} \tan^2(2r+1)$?
negative_passages.docid: 107008
negative_passages.text: Find the remainder when $45!$ is divided by $47$?
negative_passages.docid: 132150
negative_passages.text: How to show the full remainder in polynomial long division?
negative_passages.docid: 13260
negative_passages.text: Choosing $101$ numbers from $\{1, 2, \dots , 200\}$.
negative_passages.docid: 158684
negative_passages.text: How to solve and see resolution of $13^{53} \pmod 7$ using Fermat little Theorem?
negative_passages.docid: 60385
negative_passages.text: How to solve this sequence $165,195,255,285,345,x$
negative_passages.docid: 119146
negative_passages.text: How to solve $n < 2^{n/8}$ for $n$?
negative_passages.docid: 5358
negative_passages.text: How to prove that 2017 divides $1^{2017}+2^{2017}+\dots+2017^{2017}$?
negative_passages.docid: 70492
negative_passages.text: What is the shortest way to compute the last 3 digits of $17^{256}$?
negative_passages.docid: 36031
negative_passages.text: Finding modular of a fraction
negative_passages.docid: 10176
negative_passages.text: How to find a continued fraction
negative_passages.docid: 128393
negative_passages.text: What is the remainder of dividing $14^{256}$ by $17$?
negative_passages.docid: 127524
negative_passages.text: how to find the remainder when a polynomial $p(x)$ is divided my another polynomial $q(x)$