query: What is the remainder when ${13}^7$ is divided by 9
positive_passages.docid: 4972
positive_passages.text: Mod of numbers with large exponents [modular order reduction]
negative_passages.docid: 133819
negative_passages.text: How to prove that $364 \mid n^{91} - n^7$?
negative_passages.docid: 116204
negative_passages.text: Polynomial Remainder Question?
negative_passages.docid: 95033
negative_passages.text: Find the remainder of a number with a large exponent
negative_passages.docid: 17243
negative_passages.text: Remainder when $2009^{2009}-1982^{2009}-1972^{2009}+1945^{2009}$ is divided by $1998$
negative_passages.docid: 156956
negative_passages.text: Give the remainder of $x^{100}$ divided by $(x-2)(x-1)$.
negative_passages.docid: 139380
negative_passages.text: Fibonacci sequence divisible by 7?
negative_passages.docid: 110460
negative_passages.text: find remainder of a number
negative_passages.docid: 7043
negative_passages.text: mod [= remainder] operation (and relation), name and meaning
negative_passages.docid: 117743
negative_passages.text: Remainder of the polynomial
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: 113506
negative_passages.text: negative number divided by positive number, what would be remainder?
negative_passages.docid: 115264
negative_passages.text: Find when three numbers have the same remainder when divided by the same number
negative_passages.docid: 21476
negative_passages.text: Modular Exponentiation 3^5^7
negative_passages.docid: 74718
negative_passages.text: Find remainder when $f(x^{12})$ is divided by $f(x)$
negative_passages.docid: 38285
negative_passages.text: What is $(65!)^2$ congruent to mod $131$?
negative_passages.docid: 36031
negative_passages.text: Finding modular of a fraction