query: How to calculate $x$ in $19^{93}\equiv x\pmod {162}$?
positive_passages.docid: 360
positive_passages.text: Modular exponentiation by hand ($a^b\bmod c$)
negative_passages.docid: 38285
negative_passages.text: What is $(65!)^2$ congruent to mod $131$?
negative_passages.docid: 84379
negative_passages.text: Prove that there is no integer a for which $a^2 - 3a - 19$ is divisible by 289
negative_passages.docid: 55984
negative_passages.text: How can I find the answer to $\varphi(2^{400} + 2)$?
negative_passages.docid: 29640
negative_passages.text: If $x \equiv 1 \pmod 3$ and $x \equiv 0 \pmod 2$, what is $x \pmod 6$?
negative_passages.docid: 90300
negative_passages.text: Find the remainder when $10^{400}$ is divided by 199?
negative_passages.docid: 119433
negative_passages.text: How to find modulo of large numbers like $9801\! \pmod {\!32}$
negative_passages.docid: 17609
negative_passages.text: Finding the remainder of $11^{2013}$ divided by $61$
negative_passages.docid: 92197
negative_passages.text: Calculating Non-Integer Exponent
negative_passages.docid: 74718
negative_passages.text: Find remainder when $f(x^{12})$ is divided by $f(x)$
negative_passages.docid: 77866
negative_passages.text: Find $x$ in $4^x+6^x=9^x$
negative_passages.docid: 73238
negative_passages.text: Show that $a^{q-1} \equiv 1 \pmod{pq}$
negative_passages.docid: 57041
negative_passages.text: How would you prove that $2^{50} < 3^{33}$ without directly calculating the values
negative_passages.docid: 41051
negative_passages.text: How to show $e^{e^{e^{79}}}$ is not an integer
negative_passages.docid: 99243
negative_passages.text: What is the remainder when $24^{1202}$ is divided by $1446$?
negative_passages.docid: 49626
negative_passages.text: Find the last two digits of $33^{100}$
negative_passages.docid: 95653
negative_passages.text: Euler's theorem: [3]^2014^2014 mod 98