query: Solve for $x$ the following congruence system
positive_passages.docid: 2904
positive_passages.text: Solving linear congruence (modular inverse or fraction) via gcd Bezout equation
negative_passages.docid: 145617
negative_passages.text: Is there any simple trick to solve the congruence $a^{24}\equiv6a+2\pmod{13}$?
negative_passages.docid: 53503
negative_passages.text: Solving the diophantine equation $y^{2}=x^{3}-2$
negative_passages.docid: 4129
negative_passages.text: Solvability of $a \equiv x^2 \mod b$
negative_passages.docid: 133164
negative_passages.text: Rational solutions for $x^2+y^2=3$
negative_passages.docid: 70460
negative_passages.text: How can I solve the following sequence
negative_passages.docid: 39800
negative_passages.text: Existence of solution for a linear system mod 2
negative_passages.docid: 80535
negative_passages.text: Linear congruence fill in the missing step?
negative_passages.docid: 56803
negative_passages.text: Finding solutions to congruence equations
negative_passages.docid: 123441
negative_passages.text: Quadratic congruences problem $(x^2-a)(x^2-b)(x^2-ab)$ ≡ 0 (mod p)
negative_passages.docid: 26478
negative_passages.text: Show that the congruence $x^{p-1} \equiv 1 \pmod {p^2}$ has precisely $p-1$ solutions modulo $p^2$
negative_passages.docid: 4357
negative_passages.text: Why does the CRT formula yield a solution of a congruence system?
negative_passages.docid: 108035
negative_passages.text: solving diophantine equations using congruences
negative_passages.docid: 94585
negative_passages.text: Solving for a variable that's an exponent
negative_passages.docid: 29989
negative_passages.text: Solve $x^2+5x+6 \equiv 0 \pmod{\!11\cdot 17}$
negative_passages.docid: 9143
negative_passages.text: Solve $u_{xx}-3u_{xt}-4u_{tt}=0$ where $u(x,0)=x^2$ and $u_t(x,0)=e^x$
negative_passages.docid: 79925
negative_passages.text: Infinitely many values of $x$ that satisfy the equations