// #cheatkhitacontre #khionhatoicheat
#include<bits/stdc++.h>
#define IOS ios::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define int long long /*fuck int*/
using namespace std;
int mod = 1000000007;
int Sqrt(int x) {
    int ret = 0;
    for (int i = (1ll<<31); i >= 1; i>>=1) if ((ret+i)*(ret+i)<=x) ret += i;
    return ret;
}
void fix(int &a) {
    a %= mod;
}
int mul(int a, int b) {
    fix(a);
    fix(b);
    return (a*b)%mod;
}
int binpow(int a, int b) {
    int ret = 1;
    while (b) {
        if (b&1) ret = mul(ret,a);
        a = mul(a,a);
        b >>= 1;
    }
    return ret;
}
int Sum(int a, int b) {
    fix(a);
    fix(b);
    return (a+b+mod)%mod;
}
int sub(int a, int b) {
    fix(a);
    fix(b);
    return (a-b+mod)%mod;
}
int Div(int a, int b) {
    fix(a);
    fix(b);
    return mul(a,binpow(b,mod-2));
}
void solve() {
    int n, a, m, ss = 0, s = 0;
    cin >> a >> n;
    m = Sqrt(a*n);
    vector<int> dp(a+1,0);
    for (int i = 1; i <= a; i++) dp[i] = Sum(dp[i],(i*i-1)%a+1);
    for (int i = 1; i <= a; i++) s = Sum(s,dp[i]);
    for (int i = 1; i <= m%a; i++) ss = Sum(ss,dp[i]);
    cout << sub(mul(m,n),Div(sub(Div(mul(mul(m,m+1),2*m+1),6ll),Sum(mul(s,m/a),ss)),a)) << "\n";
}
signed main() {
	IOS;
	int TEST=1;
	cin >> TEST;
	while (TEST--) solve();
}