/+ dub.sdl:
    name "F"
    dependency "dcomp" version=">=0.6.0"
+/

import std.stdio, std.algorithm, std.range, std.conv;
// import dcomp.foundation, dcomp.scanner;
// import dcomp.numeric.prime;
// import dcomp.numeric.primitive;
import std.numeric;

long powmod(long x, long n, long md) {
    long r = 1;
    while (n) {
        if (n & 1) r = (r*x) % md;
        x = (x*x) % md;
        n >>= 1;
    }
    return r;
}

long tot(long x) {
    long y = x;
    for (long i = 2; i*i <= x; i++) {
        if (x % i) continue;
        y /= i;
        y *= (i-1);
        while (x % i == 0) x /= i;
    }
    if (x > 1) {
        y /= x;
        y *= (x-1);
    }
    return y;
}

long inv(long x, long md) {
    return extGcd(x, md)[0];
}

long query(long a, long m) {
    if (m == 1) {
        return 10L^^9;
    }
    long t = tot(m);
    long g = gcd(t, m);
    long u = query(a, g);
    long f = powmod(a, u, m);
//    writefln("%d %d %d %d %d %d", a, m, t, g, u, f);
    f = ((f - u) % m + m) % m;
    f /= g;
    f *= inv(t/g, m/g); f = (f % m + m) % m;
//    writeln("last f", f);
    long ans = u + f * t;
//    writeln("RES ", powmod(a, ans, m), " ", ans % m);
    return u + f * t;
}


int main() {
    Scanner sc = new Scanner(stdin);
    int q;
    sc.read(q);
    foreach (ph; 0..q) {
        long a, m;
        sc.read(a, m);
        long z = query(a, m);
        writeln(z);
//        writeln(z, " ", powmod(a, z, m), " ", z % m);
//        break;
    }
    return 0;
}
/* IMPORT /Users/yosupo/Program/dcomp/source/dcomp/numeric/primitive.d */
// module dcomp.numeric.primitive;

import std.traits;
import std.bigint;

 
Unqual!T pow(T, U)(T x, U n) if (!isFloatingPoint!T && (isIntegral!U || is(U == BigInt))) {
    return pow(x, n, T(1));
}

 
Unqual!T pow(T, U, V)(T x, U n, V e)
if ((isIntegral!U || is(U == BigInt)) && is(Unqual!T == Unqual!V)) {
    Unqual!T b = x, v = e;
    Unqual!U m = n;
    while (m) {
        if (m & 1) v *= b;
        b *= b;
        m /= 2;
    }
    return v;
}

 

 
T lcm(T)(in T a, in T b) {
    import std.numeric : gcd;
    return a / gcd(a,b) * b;
}

 
 

 
 
T[3] extGcd(T)(in T a, in T b) 
if (!isIntegral!T || isSigned!T)  
{
    if (b==0) {
        return [T(1), T(0), a];
    } else {
        auto e = extGcd(b, a%b);
        return [e[1], e[0]-a/b*e[1], e[2]];
    }
}

 
 
/* IMPORT /Users/yosupo/Program/dcomp/source/dcomp/numeric/prime.d */
// module dcomp.numeric.prime;

 
T[] divisorList(T)(T x) {
    import std.algorithm : sort;
    T[] res;
    for (T i = 1; i*i <= x; i++) {
        if (x%i == 0) {
            res ~= i;
            if (i*i != x) res ~= x/i;
        }
    }
    sort(res);
    return res;
}

 
 

 
T[] factorList(T)(T x) {
    T[] res;
    for (T i = 2; i*i <= x; i++) {
        while (x % i == 0) {
            res ~= i;
            x /= i;
        }
    }
    if (x > 1) res ~= x;
     
    return res;
}

 
 
/* IMPORT /Users/yosupo/Program/dcomp/source/dcomp/foundation.d */
// module dcomp.foundation;
 
static if (__VERSION__ <= 2070) {
    template fold(fun...) if (fun.length >= 1) {
        auto fold(R, S...)(R r, S seed) {
            import std.algorithm : reduce;
            static if (S.length < 2) {
                return reduce!fun(seed, r);
            } else {
                import std.typecons : tuple;
                return reduce!fun(tuple(seed), r);
            }
        }
    }
     
}
version (X86) static if (__VERSION__ < 2071) {
    import core.bitop : bsf, bsr, popcnt;
    int bsf(ulong v) {
        foreach (i; 0..64) {
            if (v & (1UL << i)) return i;
        }
        return -1;
    }
    int bsr(ulong v) {
        foreach_reverse (i; 0..64) {
            if (v & (1UL << i)) return i;
        }
        return -1;   
    }
    int popcnt(ulong v) {
        int c = 0;
        foreach (i; 0..64) {
            if (v & (1UL << i)) c++;
        }
        return c;
    }
}
/* IMPORT /Users/yosupo/Program/dcomp/source/dcomp/scanner.d */
// module dcomp.scanner;

 
class Scanner {
    import std.stdio : File;
    import std.conv : to;
    import std.range : front, popFront, array, ElementType;
    import std.array : split;
    import std.traits : isSomeChar, isStaticArray, isArray; 
    import std.algorithm : map;
    File f;
    this(File f) {
        this.f = f;
    }
    char[512] lineBuf;
    char[] line;
    private bool succ() {
        import std.range.primitives : empty, front, popFront;
        import std.ascii : isWhite;
        while (true) {
            while (!line.empty && line.front.isWhite) {
                line.popFront;
            }
            if (!line.empty) break;
            if (f.eof) return false;
            line = lineBuf[];
            f.readln(line);
        }
        return true;
    }

    private bool readSingle(T)(ref T x) {
        import std.algorithm : findSplitBefore;
        import std.string : strip;
        import std.conv : parse;
        if (!succ()) return false;
        static if (isArray!T) {
            alias E = ElementType!T;
            static if (isSomeChar!E) {
                 
                 
                auto r = line.findSplitBefore(" ");
                x = r[0].strip.dup;
                line = r[1];
            } else {
                auto buf = line.split.map!(to!E).array;
                static if (isStaticArray!T) {
                     
                    assert(buf.length == T.length);
                }
                x = buf;
                line.length = 0;
            }
        } else {
            x = line.parse!T;
        }
        return true;
    }
    int read(T, Args...)(ref T x, auto ref Args args) {
        if (!readSingle(x)) return 0;
        static if (args.length == 0) {
            return 1;
        } else {
            return 1 + read(args);
        }
    }
}


 
 

 

/*
This source code generated by dcomp and include dcomp's source code.
dcomp's Copyright: Copyright (c) 2016- Kohei Morita. (https://github.com/yosupo06/dcomp)
*/
