messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[0, 15, 16, -8, 15, -4, 3],\n [-14, 15, 1, -10, -8, -13, -15],\n [-10, -15, -9, 10, 11, -3, -7],\n [18, 12, -3, -6, -8, -5, 1],\n [6, 12, -2, -18, -12, 12, -12],\n [9, -14, -3, 4, 7, 7,... | 772 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-11, 0, -10, 16, -4, 9, 8],\n [0, -8, 6, 2, -10, 14, -6],\n [-10, 6, 14, 17, -2, -2, -14],\n [16, 2, 17, -11, 5, 6, -2],\n [-4, -10, -2, 5, -15, 0, 8],\n [9, 14, -2, 6, 0, 4, -2],\n [8, -6, ... | 252 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[13, 3, 6, -18, 0, -10, 6],\n [13, 18, -8, 1, 7, -13, -10],\n [-14, -5, 9, -5, -7, -13, -8],\n [-12, 4, -2, -16, -10, 13, -10],\n [-11, -9, -13, 17, -17, 9, -13],\n [-13, -15, -10, -13, -17, -4, -17],\n [-3, 6, -11, -4, 14, 7, 2]]? Round to the nearest inte... | 330 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-4, -6, 17, -16, -16, -8, 0],\n [0, 7, -1, 0, 17, -12, 13],\n [0, 0, -14, 11, -16, -15, -13],\n [0, 0, 0, -7, -5, -2, 2],\n [0, 0, 0, 0, 1, 2, -11],\n [0, 0, 0, 0, 0, -3, 6],\n [0, 0, 0, 0, ... | 912 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-7, 5, 7, -9, 6, -11, 7],\n [0, -17, -1, -6, 17, -17, 5],\n [0, 0, -9, 16, -1, 6, -10],\n [0, 0, 0, -4, -2, 17, 17],\n [0, 0, 0, 0, -15, 14, 4],\n [0, 0, 0, 0, 0, 1, 9],\n [0, 0, 0, 0, 0, 0,... | 560 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-17, 3, -8, 7, -4, 2, 10],\n [3, -4, 10, 4, 4, 2, 1],\n [-8, 10, -13, 13, -10, -8, -8],\n [7, 4, 13, -17, -13, 16, 2],\n [-4, 4, -10, -13, 18, 8, 0],\n [2, 2, -8, 16, 8, 3, 2],\n [10, 1, -8, 2, 0, 2, 6]]? Round to the nearest integer, then express your ans... | 7 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[12, -1, 7, 12, -1, -1, -14],\n [-1, -12, 6, 4, -17, -3, -5],\n [7, 6, -18, -2, 1, 10, -16],\n [12, 4, -2, 5, -4, -4, -1],\n [-1, -17, 1, -4, -15, 10, -10],\n [-1, -3, 10, -4, 10, -4, 6],\n [-14, -5, -16, -1, -10, 6, 15]]\nRound to the nearest integer, the... | 155 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-18, -7, -18, 6, -14, -9, 4],\n [0, 16, 8, -16, -13, -6, -6],\n [0, 0, -10, 3, -13, -13, -3],\n [0, 0, 0, 14, -5, -17, -5],\n [0, 0, 0, 0, 2, -2, -16],\n [0, 0, 0, 0, 0, -17, -6],\n [0, 0, 0... | 240 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[6, -8, -1, -16, 8, -17, 4],\n [-8, 2, 10, -2, -7, -2, -2],\n [-1, 10, 9, 6, -4, 2, -14],\n [-16, -2, 6, 0, 11, 0, 8],\n [8, -7, -4, 11, -13, -3, 0],\n [-17, -2, 2, 0, -3, -16, 5],\n [4, -2, -14, 8, 0, 5, 17]]\nRound to the nearest integer, then give your ... | 968 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[12, -7, 8, 7, 5, 14, 18],\n [-16, -4, 0, -17, 2, -16, 14],\n [-17, -15, -17, -8, -7, 17, -4],\n [13, -8, -2, 0, -5, -1, 6],\n [-7, 11, 12, -12, 7, 17, 2],\n [3, 2, -9, -13, -12, 16, 10],\n [7, -5, 6, 1, 14, 1, -9]]\nRound to the nearest integer, then give... | 605 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-10, 3, -1, 12, 2, 13, -17],\n [-9, -2, -5, -1, 9, 0, -14],\n [-2, -9, 12, 14, 12, 11, 16],\n [13, -10, 7, 9, 4, -3, 2],\n [7, -7, 0, 5, 1, 9, 15],\n [14, -4, -17, 14, -16, -9, 7],\n [-9, 18, -18, -14, -10, 4, 10]]\nRound to the nearest integer, then give... | 982 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[1, -4, 6, 8, 2, -4, 2],\n [-4, -13, 1, -2, 0, 15, -12],\n [6, 1, -13, -1, 8, 4, 12],\n [8, -2, -1, -2, 0, -8, -4],\n [2, 0, 8, 0, -7, -2, 6],\n [-4, 15, 4, -8, -2, -1, -15],\n [2, -12, 12, -4, 6, -15, 1]]? Round to the nearest integer, then express your an... | 357 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, 3, 6, 17, -3, 10, -18],\n [0, -11, 9, 3, -18, 17, 6],\n [0, 0, -2, -12, 1, 18, 11],\n [0, 0, 0, -18, 9, 8, 14],\n [0, 0, 0, 0, 10, 17, -10],\n [0, 0, 0, 0, 0, 2, -5],\n [0, 0, 0, 0, 0, 0... | 400 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-16, -1, 12, 18, 18, -10, 0],\n [13, 10, 16, 1, 6, -10, 13],\n [-12, -17, 17, 5, 0, -12, -10],\n [-6, -5, 14, 9, 10, 13, -13],\n [-11, 3, -2, 11, -3, 4, 4],\n [0, 4, -10, -15, 9, -5, 10],\n [3, 6, -12, -16, 17, 5, -18]]? Round to the nearest integer, then ... | 570 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-3, 4, 0, -9, 4, -4, -6],\n [4, -18, 0, 6, 8, 9, -4],\n [0, 0, 11, 10, 3, -7, -16],\n [-9, 6, 10, -11, -2, -2, 2],\n [4, 8, 3, -2, -12, -8, -4],\n [-4, 9, -7, -2, -8, 12, -2],\n [-6, -4, -16, 2, -4, -2, 1]]? Round to the nearest integer, then express your ... | 956 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-13, 18, -16, -1, 10, -10, -1],\n [0, -10, 1, -1, -8, -13, -5],\n [0, 0, -13, -11, 18, 9, -9],\n [0, 0, 0, 3, -10, 11, 12],\n [0, 0, 0, 0, -9, 10, -18],\n [0, 0, 0, 0, 0, 12, 7],\n [0, 0, 0,... | 120 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-15, -10, 8, 16, 2, -3, -16],\n [-10, -11, 0, -7, 1, 12, 4],\n [8, 0, -4, -8, 8, -10, 4],\n [16, -7, -8, -12, -10, 0, -2],\n [2, 1, 8, -10, -8, 6, 2],\n [-3, 12, -10, 0, 6, -7, 14],\n [-16, 4, 4, -2, 2, 14, -2]]? Round to the nearest integer, then express ... | 512 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[17, 12, -2, -4, 18, -13, 6],\n [-5, 5, 2, 8, 16, 3, 9],\n [-14, 14, -14, -8, 18, 2, -12],\n [-6, -9, -12, 17, 5, 8, -7],\n [-9, 15, -13, 13, 16, -18, -13],\n [-9, -8, 9, -6, -8, -12, 0],\n [... | 106 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[15, 0, -6, 0, 0, -2, -12],\n [0, 18, -6, 10, -8, 0, -10],\n [-6, -6, 14, 10, 10, 6, 1],\n [0, 10, 10, 12, -8, 0, 14],\n [0, -8, 10, -8, 18, 0, 4],\n [-2, 0, 6, 0, 0, -11, -3],\n [-12, -10, 1, 14, 4, -3, -1]]\nRound to the nearest integer, then give your a... | 472 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[13, -5, 13, 12, 0, 4, 0],\n [-17, -12, 9, 0, -1, -7, 1],\n [12, -7, 11, 5, -16, 6, -12],\n [4, -5, 15, 13, -10, -2, -4],\n [18, 4, -1, 8, 16, 7, -16],\n [-11, 17, 1, 0, 8, -2, -12],\n [-2, 1... | 724 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-18, -18, 11, -17, -8, 0, 7],\n [-18, -14, 16, 9, -15, -4, -11],\n [-17, 0, 17, -15, -10, -18, -4],\n [10, 7, 11, -12, 12, -4, -14],\n [-15, 12, 1, -15, -12, -9, 16],\n [0, 2, -10, -3, 13, 12, -5],\n [12, 12, -2, -9, 8, -10, -4]]\nRound to the nearest integer, the... | 698 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[7, -3, -15, 2, -7, 6, 2],\n [0, -4, -16, -3, -14, 4, 12],\n [0, 0, -13, -10, 6, 16, 9],\n [0, 0, 0, -9, 1, 13, 1],\n [0, 0, 0, 0, -2, 16, 9],\n [0, 0, 0, 0, 0, 7, -8],\n [0, 0, 0, 0, 0, 0, 6]]\nRound to the nearest integer, then give your answer as det(A)... | 184 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[7, -14, -18, 18, 16, 15, -14],\n [0, 12, 13, -18, -1, -18, -9],\n [0, 0, 3, 18, 5, -13, -17],\n [0, 0, 0, 11, 10, -17, 4],\n [0, 0, 0, 0, -5, 14, 16],\n [0, 0, 0, 0, 0, 3, 12],\n [0, 0, 0, 0, 0, 0, -8]]\nRound to the nearest integer, then take the result modulo 10... | 640 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-15, -1, 1, 12, 3, 12, 4],\n [-1, -5, 8, -1, -6, -6, 8],\n [1, 8, 1, 14, -4, 1, -6],\n [12, -1, 14, -1, 0, 8, -2],\n [3, -6, -4, 0, -3, 8, 2],\n [12, -6, 1, 8, 8, -3, 16],\n [4, 8, -6, -2, 2, 16, 1]]\nRound to the nearest integer, then give your answer as... | 196 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[2, 2, -8, 18, 7, -18, -12],\n [0, -4, 11, 10, -1, -5, -1],\n [0, 0, 11, 6, -14, -5, 13],\n [0, 0, 0, -6, 17, -15, -1],\n [0, 0, 0, 0, -2, -8, 18],\n [0, 0, 0, 0, 0, -10, -12],\n [0, 0, 0, 0, 0, 0, -15]]\nRound to the nearest integer, then take the result modulo 10... | 600 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[10, -4, -10, 5, 2, 14, -10],\n [-4, 0, -15, -5, 1, -11, 2],\n [-10, -15, 17, -4, 1, 7, -4],\n [5, -5, -4, -1, -8, -8, 4],\n [2, 1, 1, -8, 13, 0, -9],\n [14, -11, 7, -8, 0, -16, 2],\n [-10, 2, -4, 4, -9, 2, -9]]\nRound to the nearest integer, then give you... | 546 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-15, 16, -8, -18, 14, -14, -4],\n [0, -2, 2, 0, 18, -13, 3],\n [0, 0, 18, -14, -14, -17, 13],\n [0, 0, 0, 2, 5, 7, -14],\n [0, 0, 0, 0, -7, -8, 0],\n [0, 0, 0, 0, 0, 6, 13],\n [0, 0, 0, 0, 0, 0, 1]]? Round to the nearest integer, then express your answer m... | 640 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[4, -5, 2, -4, 9, -3, 5],\n [-12, 4, 11, -10, 15, -14, -5],\n [15, -3, -8, -15, 2, 18, -3],\n [-3, 2, -9, -15, 18, -3, 7],\n [-10, -8, 5, -7, -3, -18, -6],\n [-18, 13, 11, 2, -12, -2, 9],\n [... | 916 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-9, 9, -13, 1, -8, 0, 11],\n [0, -12, 13, -3, -13, -14, -12],\n [0, 0, 18, -14, 12, -16, -14],\n [0, 0, 0, 16, 10, -8, -11],\n [0, 0, 0, 0, -11, -13, -7],\n [0, 0, 0, 0, 0, -11, 12],\n [0, 0, 0, 0, 0, 0, -8]]\nRound to the nearest integer, then give your ... | 328 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[15, 10, -11, 13, -12, -2, -9],\n [0, 4, 7, 6, 3, 8, -18],\n [0, 0, 1, -6, -11, -18, 5],\n [0, 0, 0, -7, -9, 15, 9],\n [0, 0, 0, 0, 13, -8, 11],\n [0, 0, 0, 0, 0, -1, 18],\n [0, 0, 0, 0... | 400 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[11, -13, -8, -11, 13, 2, 10],\n [-13, 12, 8, 0, 0, 2, -2],\n [-8, 8, 1, -4, -2, -4, -4],\n [-11, 0, -4, 7, 3, 0, 14],\n [13, 0, -2, 3, 1, 4, 2],\n [2, 2, -4, 0, 4, 4, -6],\n [10, -2, -4, 14, 2, -6, 16]]? Round to the nearest integer, then express your answ... | 144 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-14, 8, -15, 16, -10, -4, 13],\n [2, 17, -1, -1, 10, -7, -13],\n [-9, -3, -11, 9, 13, -10, -6],\n [15, -15, 14, -6, -4, 18, 17],\n [17, 1, 7, 2, 10, -1, 8],\n [-5, 7, -8, 12, 2, 11, -17],\n [14, 12, 5, 8, 12, 5, -5]]? Round to the nearest integer, then exp... | 636 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-14, -8, 4, -8, 0, 7, 4],\n [-8, 8, -6, 6, 4, 10, 7],\n [4, -6, -15, 0, 18, -7, 6],\n [-8, 6, 0, 13, 10, -1, 4],\n [0, 4, 18, 10, 8, -10, -4],\n [7, 10, -7, -1, -10, -3, 4],\n [4, 7, 6, 4, -4, 4, 17]]? Round to the nearest integer, then express your answer... | 720 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-4, 0, -13, -6, -10, -2, 3],\n [0, 1, 14, -14, 0, -6, -6],\n [-13, 14, -3, -16, -2, 14, -4],\n [-6, -14, -16, -5, 0, 3, -10],\n [-10, 0, -2, 0, -8, -12, 6],\n [-2, -6, 14, 3, -12, 11, 14],\n [3, -6, -4, -10, 6, 14, -11]]? Round to the nearest integer, then... | 568 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-12, -1, 13, -9, 10, 18, 2],\n [0, 9, -8, 12, -14, 10, 5],\n [0, 0, 12, 14, 5, 15, -18],\n [0, 0, 0, -17, -6, -1, 14],\n [0, 0, 0, 0, 6, -13, 9],\n [0, 0, 0, 0, 0, -6, 3],\n [0, 0, 0, 0, 0, ... | 328 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-16, 0, 0, 0, 9, -10, -8],\n [0, -1, 1, -5, -12, -7, 14],\n [0, 1, -10, 0, 11, 6, -6],\n [0, -5, 0, 1, -8, 6, 14],\n [9, -12, 11, -8, 9, -12, -7],\n [-10, -7, 6, 6, -12, 16, -6],\n [-8, 14, -6, 14, -7, -6, 14]]? Round to the nearest integer, then express y... | 792 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[12, -7, -2, 16, -13, -9, 0],\n [-7, -1, -2, -4, 11, -8, 7],\n [-2, -2, 9, -8, -1, -16, 9],\n [16, -4, -8, -12, 3, 9, -14],\n [-13, 11, -1, 3, 17, 0, -8],\n [-9, -8, -16, 9, 0, -3, 10],\n [0, 7, 9, -14, -8, 10, -7]]\nRound to the nearest integer, then take the resu... | 575 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[7, 1, -4, -6, 6, -6, 5],\n [1, -5, 8, 10, 13, -16, -14],\n [-4, 8, 9, 8, -10, 0, -1],\n [-6, 10, 8, 5, -7, 0, 0],\n [6, 13, -10, -7, -3, 8, 5],\n [-6, -16, 0, 0, 8, 18, -1],\n [5, -14,... | 137 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-5, 1, 3, -2, 18, 10, -18],\n [0, -1, -18, 12, 10, 1, -12],\n [0, 0, -1, -17, -11, -2, -2],\n [0, 0, 0, 2, 3, 10, 6],\n [0, 0, 0, 0, -12, 7, 6],\n [0, 0, 0, 0, 0, 1, 16],\n [0, 0, 0, 0, 0, 0, 3]]? Round to the nearest integer, then express your answer modu... | 360 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[0, -7, -9, -15, 0, 8, 13],\n [16, 13, 15, 3, -6, 7, 1],\n [1, -17, -10, -12, 15, 14, 2],\n [8, -18, 17, 18, 17, 13, 13],\n [-18, 7, -15, 10, -10, -14, 16],\n [-10, -12, 12, -6, 0, 9, 1],\n [... | 139 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[15, 15, -5, 0, 6, 2, 17],\n [-16, 3, -10, 6, 8, 14, -2],\n [12, -9, -16, -6, 8, 10, 8],\n [9, 8, -6, -4, -16, 12, -8],\n [15, 7, -10, 13, -16, -12, 10],\n [-13, 9, 15, 15, -1, 7, 1],\n [13, ... | 832 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[17, -12, -4, 13, 1, 6, 1],\n [-12, 18, -4, -2, 0, -1, 9],\n [-4, -4, -1, -3, 6, 8, -10],\n [13, -2, -3, 8, 8, -8, -8],\n [1, 0, 6, 8, -9, 2, 4],\n [6, -1, 8, -8, 2, 5, 0],\n [1, 9, -10, -8, ... | 536 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[10, -16, -10, 7, 0, -17, -8],\n [0, -2, 5, -13, -17, -15, -4],\n [0, 0, -14, -8, -13, -1, 0],\n [0, 0, 0, 1, -18, 18, 17],\n [0, 0, 0, 0, 7, 9, -6],\n [0, 0, 0, 0, 0, -3, -13],\n [0, 0, 0, 0, 0, 0, 8]]\nRound to the nearest integer, then take the result modulo 100... | 960 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-10, -2, 1, 5, 3, 4, -8],\n [-4, -11, -12, 6, 9, 9, 16],\n [8, 17, 14, 9, 8, -14, 6],\n [-11, 12, -15, -5, 7, -3, 5],\n [-17, -13, 8, -3, 5, -14, -10],\n [-1, -5, -8, -1, -14, 14, 15],\n [1, 16, -1, -15, 15, -16, 6]]\nRound to the nearest integer, then gi... | 775 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[1, 9, -9, 4, -18, -9, -8],\n [13, -15, -6, -3, 11, -11, 10],\n [10, -15, 18, -2, -14, -15, -14],\n [-18, 8, 11, -7, 12, 13, 11],\n [5, -4, -18, 9, 0, 3, 9],\n [8, -17, 16, 10, 10, 6, 6],\n [-5, -2, -10, -7, -18, -18, -2]]\nRound to the nearest integer, th... | 904 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[7, 0, 6, -7, -11, -15, -18],\n [0, 13, 18, 18, -11, -16, -2],\n [0, 0, -4, -10, 2, -4, 9],\n [0, 0, 0, -16, -15, -1, 10],\n [0, 0, 0, 0, 10, 12, 14],\n [0, 0, 0, 0, 0, -15, 7],\n [0, 0, 0, 0, 0, 0, 1]]\nRound to the nearest integer, then give your answer ... | 400 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, 0, 16, -12, -6, 2, -8],\n [0, 18, 15, -6, -2, -8, 2],\n [16, 15, 10, -2, -8, -2, -6],\n [-12, -6, -2, -11, -4, -4, -7],\n [-6, -2, -8, -4, 0, -1, -10],\n [2, -8, -2, -4, -1, 11, -10],\n ... | 992 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-11, -8, 14, 0, -8, 12, 10],\n [-8, 6, -2, -8, 4, 1, 3],\n [14, -2, 6, -12, 7, 4, -8],\n [0, -8, -12, 13, 7, 12, 6],\n [-8, 4, 7, 7, 16, 13, -3],\n [12, 1, 4, 12, 13, -1, 12],\n [10, 3, -8, 6, -3, 12, 7]]\nRound to the nearest integer, then take the result modulo ... | 132 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-6, 9, 13, 6, 8, -15, 14],\n [0, 3, -15, 18, -10, -9, 0],\n [0, 0, -11, 1, -2, 8, -14],\n [0, 0, 0, -3, 14, 8, -18],\n [0, 0, 0, 0, 3, 7, -11],\n [0, 0, 0, 0, 0, -15, -7],\n [0, 0, 0, 0, 0, 0, -6]]? Round to the nearest integer, then express your answer mo... | 620 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[4, -3, -15, -7, -13, 3, -17],\n [0, 12, 3, 16, 7, 18, -2],\n [0, 0, -5, 3, 12, 9, -13],\n [0, 0, 0, -13, -7, -11, 8],\n [0, 0, 0, 0, 2, -11, -18],\n [0, 0, 0, 0, 0, -3, -17],\n [0, 0, 0, 0, ... | 680 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-18, 15, -8, -11, 12, 0, -4],\n [15, 18, 4, -4, -12, -4, 9],\n [-8, 4, -7, -2, -6, 9, 0],\n [-11, -4, -2, 12, 9, -3, 8],\n [12, -12, -6, 9, 4, 0, 9],\n [0, -4, 9, -3, 0, 5, -14],\n [-4, 9, 0, 8, 9, -14, -17]]\nRound to the nearest integer, then give your ... | 419 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[14, 2, -14, -8, -1, 2, -1],\n [2, -6, 13, 7, -6, 2, -16],\n [-14, 13, 18, 10, 11, -16, 4],\n [-8, 7, 10, 11, -4, 10, -4],\n [-1, -6, 11, -4, 3, 4, -8],\n [2, 2, -16, 10, 4, 16, -4],\n [-1, -16, 4, -4, -8, -4, 16]]\nRound to the nearest integer, then take the resul... | 664 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-6, -3, 12, 13, 6, -4, -4],\n [1, -16, -2, 3, -16, -7, 3],\n [-8, 12, 1, -8, 12, 4, 10],\n [-1, -16, 3, -3, -15, -14, 3],\n [-4, 10, -5, 16, -8, 2, -15],\n [-5, 13, 2, -15, 16, -4, 4],\n [-2, 16, 17, 8, -1, -2, -10]]\nRound to the nearest integer, then gi... | 501 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-4, 1, -1, 10, -8, 6, -18],\n [0, 2, 17, 7, 8, 7, -14],\n [0, 0, -7, 15, 18, 18, -14],\n [0, 0, 0, 12, -9, 12, -8],\n [0, 0, 0, 0, 3, 3, 5],\n [0, 0, 0, 0, 0, -10, 8],\n [0, 0, 0, 0, 0... | 800 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-12, -16, -11, -1, 3, -10, 4],\n [-6, 9, 15, 6, -13, -12, 7],\n [-7, 1, -14, -12, -7, 11, 12],\n [0, -2, 13, -17, 15, 15, 6],\n [-13, 10, -17, -12, 2, 13, 15],\n [17, 13, -5, -13, 3, 11, 1],\n [17, 3, -5, 14, 16, -2, 0]]? Round to the nearest integer, then... | 696 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-2, -4, -11, 12, -17, -13, 5],\n [16, 10, -2, 11, -18, 4, 11],\n [18, -13, 13, 0, 6, 7, -18],\n [13, 11, 4, 18, 2, 6, -7],\n [14, -3, 15, -8, -3, 18, -9],\n [11, -6, -16, -3, 1, 11, -9],\n [... | 995 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-18, -3, -2, -4, 0, 0, 6],\n [-3, -15, -10, -6, -4, 13, 7],\n [-2, -10, -1, 15, -7, -4, -10],\n [-4, -6, 15, -3, 8, -2, -1],\n [0, -4, -7, 8, 2, -2, -14],\n [0, 13, -4, -2, -2, 3, 10],\n [6, 7, -10, -1, -14, 10, 2]]\nRound to the nearest integer, then giv... | 899 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-10, -1, -6, -14, -2, 10, 5],\n [-1, 11, 11, -1, 13, 0, 8],\n [-6, 11, -15, 0, 1, -16, 7],\n [-14, -1, 0, 1, 8, 10, 8],\n [-2, 13, 1, 8, 2, 9, 12],\n [10, 0, -16, 10, 9, 14, 9],\n [5, 8, 7, ... | 5 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[13, -4, -4, 1, -12, 16, 1],\n [-4, 5, 6, -11, -2, 8, -2],\n [-4, 6, 9, -5, 4, 3, 8],\n [1, -11, -5, -15, -12, -1, -5],\n [-12, -2, 4, -12, 18, -10, -6],\n [16, 8, 3, -1, -10, 18, -10],\n [1, -2, 8, -5, -6, -10, -6]]\nRound to the nearest integer, then giv... | 760 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[15, -16, 11, -10, -14, 10, -14],\n [4, 2, -12, -10, -6, 7, 13],\n [3, 7, 3, -17, -14, 12, 15],\n [0, 6, -3, 16, 11, 13, 5],\n [1, 9, -9, 6, -14, -5, -6],\n [0, -11, -3, 6, -11, 6, -6],\n [-13, 12, 8, -2, -7, 18, -18]]? Round to the nearest integer, then ex... | 242 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-5, -5, -16, 18, 16, -6, -17],\n [0, -9, 16, 5, -12, 16, -12],\n [0, 0, -7, 13, 15, -6, 8],\n [0, 0, 0, -5, -3, -17, 9],\n [0, 0, 0, 0, 7, 2, 1],\n [0, 0, 0, 0, 0, -3, 14],\n [0, 0, 0, 0, 0, 0, 2]]\nRound to the nearest integer, then give your answer as d... | 850 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[13, 9, 9, -17, -8, 12, 0],\n [0, 4, 7, 0, -7, -10, 8],\n [0, 0, 5, -9, -4, 1, 7],\n [0, 0, 0, -7, -16, 15, -4],\n [0, 0, 0, 0, -3, 7, -15],\n [0, 0, 0, 0, 0, 1, 17],\n [0, 0, 0, 0, 0, 0, -15]]\nRound to the nearest integer, then give your answer as det(A)... | 100 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[10, 7, 17, 8, -3, -15, -16],\n [11, 1, -13, -2, 11, -17, -2],\n [7, 18, -13, 9, 2, -14, 4],\n [15, 16, -10, 11, 10, -14, -8],\n [0, -3, 11, -18, 6, -16, 9],\n [-1, 16, -10, -8, -11, -16, -15],\n [6, -10, -11, -7, 9, 13, 5]]\nRound to the nearest integer, ... | 162 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-7, 14, -18, -5, -17, 1, 4],\n [0, -2, 5, 5, -4, 7, 1],\n [0, 0, 3, -10, -7, -16, 17],\n [0, 0, 0, 4, 14, 2, 2],\n [0, 0, 0, 0, 2, 5, 17],\n [0, 0, 0, 0, 0, 17, 1],\n [0, 0, 0, 0, 0, 0, 10]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPrese... | 120 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[7, 1, 4, 16, 15, 12, -11],\n [6, 4, 3, -16, 7, -17, 11],\n [-12, 1, 6, 10, -16, 12, 16],\n [-8, 18, -17, 0, -15, 9, 4],\n [17, 16, 3, 15, 4, 0, -14],\n [-9, -8, 15, -17, 5, -2, 15],\n ... | 280 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[6, -4, -2, -8, 6, -1, -12],\n [-4, 10, -11, -10, -10, -12, -3],\n [-2, -11, 4, 8, 5, 4, -6],\n [-8, -10, 8, 13, 9, 0, -6],\n [6, -10, 5, 9, 2, 1, 0],\n [-1, -12, 4, 0, 1, -12, -12],\n [-12, -3, -6, -6, 0, -12, 0]]\nRound to the nearest integer, then take the resul... | 983 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[3, 2, 5, 4, 0, -3, -1],\n [2, 7, -4, -1, 6, -4, -6],\n [5, -4, 1, 6, 1, -4, 2],\n [4, -1, 6, 5, 1, -14, 0],\n [0, 6, 1, 1, 15, 11, -7],\n [-3, -4, -4, -14, 11, -3, -3],\n [-1, -6, 2, 0, -7, -3, 12]]\nRound to the nearest integer, then take the result modulo 1000.\... | 885 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-12, 7, -16, -5, -12, -9, 4],\n [-15, -5, 7, 10, 3, -7, -5],\n [-9, 12, -3, 18, -3, 4, -16],\n [8, 6, -12, 10, 14, 7, -13],\n [-15, -2, 10, -10, 8, 11, 14],\n [-7, 15, -6, -13, 15, -17... | 832 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[2, -7, 13, 14, -12, -13, 13],\n [-1, 6, -12, -6, -3, -1, 15],\n [13, -12, -9, -2, 0, -18, -5],\n [4, -8, -2, -7, -4, -15, -4],\n [-6, -14, 3, 1, 16, -13, 1],\n [-8, -2, -2, -17, 10, 1, 9],\n [11, -9, -17, 6, 9, -6, -2]]\nRound to the nearest integer, then... | 158 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[1, 13, 1, 1, -14, -10, 9],\n [0, -6, -18, 2, 9, 1, 5],\n [0, 0, 11, 5, -16, 0, -14],\n [0, 0, 0, 2, 0, -3, 12],\n [0, 0, 0, 0, 10, -11, 17],\n [0, 0, 0, 0, 0, -17, -18],\n [0, 0, 0, 0, 0, 0, 3]]? Round to the nearest integer, then express your answer modul... | 320 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[2, -6, 14, 13, -14, -2, -18],\n [-18, 8, 17, 12, -11, 18, 4],\n [2, 6, 13, -6, 12, 13, 8],\n [-9, -18, -12, -10, -2, -4, 10],\n [-14, -12, -7, 13, 4, 4, 2],\n [5, -9, -1, -4, -14, 0, -... | 897 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-5, 4, -7, 3, 8, 4, 15],\n [0, -11, -7, -2, 3, 10, -1],\n [0, 0, 4, 18, -16, 13, -15],\n [0, 0, 0, -9, -1, 10, 15],\n [0, 0, 0, 0, -4, 13, 4],\n [0, 0, 0, 0, 0, 16, 2],\n [0, 0, 0, 0, 0, 0, ... | 280 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-12, 2, 6, 6, -5, 10, -17],\n [5, 10, -11, -15, 13, -12, -15],\n [-15, 8, -1, 5, 4, 12, 2],\n [-1, -8, -12, -2, 4, 13, 16],\n [-5, -15, 16, 18, -16, 15, 11],\n [15, -15, 4, -8, 13, 10, -4],\n [6, -14, 10, 18, -6, 18, -16]]\nRound to the nearest integer, t... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-8, -17, 8, 14, 11, 16, -8],\n [-17, 15, 1, 7, -1, 17, 15],\n [11, 12, 14, 0, -1, 12, 18],\n [-7, 8, 15, -14, 7, -3, 8],\n [5, -7, 0, 2, -3, 5, -7],\n [-6, -13, 10, -9, 0, -17, 14],\n [0, -18, -14, 0, -1, -1, 14]]? Round to the nearest integer, then expres... | 843 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[1, -1, -6, 9, -10, 8, -1],\n [-1, -6, 0, -10, 6, 0, 3],\n [-6, 0, -12, 10, -8, 15, 0],\n [9, -10, 10, -4, -16, 8, -2],\n [-10, 6, -8, -16, 17, -8, -2],\n [8, 0, 15, 8, -8, 18, 8],\n [-1, 3, 0, -2, -2, 8, -9]]? Round to the nearest integer, then express you... | 697 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, 5, 5, 2, -1, -3, -5],\n [5, 16, 14, 3, 4, 4, 2],\n [5, 14, -7, 12, -1, 0, 4],\n [2, 3, 12, -11, 3, 9, 3],\n [-1, 4, -1, 3, -5, 4, 4],\n [-3, 4, 0, 9, 4, -14, 10],\n [-5, 2, 4, 3, 4... | 920 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[4, 6, 3, -4, 10, -4, -14],\n [6, -13, 10, 6, -4, 10, 14],\n [3, 10, 6, -4, 12, 8, 9],\n [-4, 6, -4, 5, -12, -4, 3],\n [10, -4, 12, -12, 13, -10, 3],\n [-4, 10, 8, -4, -10, 3, -7],\n [-14, 14, 9, 3, 3, -7, -12]]\nRound to the nearest integer, then take the result m... | 137 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[8, -18, 7, -6, -10, 4, 18],\n [0, 10, 7, -18, 14, -16, 16],\n [0, 0, 1, 13, 3, 16, -5],\n [0, 0, 0, -12, -14, 3, -9],\n [0, 0, 0, 0, 1, 6, 9],\n [0, 0, 0, 0, 0, 9, -15],\n [0, 0, 0, 0, 0, 0, -10]]\nRound to the nearest integer, then take the result modulo 1000.\n\... | 400 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[17, -14, 3, -15, 12, 3, 11],\n [0, 4, 10, 0, -15, -6, 12],\n [0, 0, -13, -17, -7, -11, 3],\n [0, 0, 0, -4, 2, 7, -18],\n [0, 0, 0, 0, -4, 12, -2],\n [0, 0, 0, 0, 0, 10, -13],\n [0, 0, 0, 0, 0, 0, -13]]\nRound to the nearest integer, then give your answer ... | 720 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-10, 18, -17, 18, -11, -17, 0],\n [5, 11, -17, 3, -1, -12, 12],\n [17, 12, 4, -5, 4, 13, 9],\n [-5, -18, 17, -2, 17, -14, 16],\n [-15, -18, 16, -12, 12, 9, 1],\n [14, 13, 0, 13, -17, 11, 4],... | 664 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-6, -11, -18, 8, 14, 7, 11],\n [-5, 6, -17, -7, -4, -1, -16],\n [18, 9, -3, -1, -2, 11, -10],\n [9, 8, 17, -4, -14, 12, -17],\n [16, 4, 7, -18, 7, 15, 13],\n [-12, -3, 2, 7, 15, 10, -4... | 620 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-1, -6, -4, 12, 6, -8, -18],\n [0, 10, 10, -12, 16, 9, 6],\n [0, 0, 5, 11, 10, 3, -1],\n [0, 0, 0, -10, -1, -11, -8],\n [0, 0, 0, 0, 15, -5, 5],\n [0, 0, 0, 0, 0, -12, -14],\n [0, 0, 0, 0, 0... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-15, 18, 14, -4, 14, -12, 12],\n [0, 2, -15, 1, 15, -18, 0],\n [0, 0, 11, -18, -11, -6, -7],\n [0, 0, 0, 2, 10, -4, 4],\n [0, 0, 0, 0, -12, -13, 5],\n [0, 0, 0, 0, 0, 2, -11],\n [0, 0, 0, 0,... | 880 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-6, -10, -10, 4, 2, -8, -14],\n [-10, 2, -8, -2, -2, -7, -10],\n [-10, -8, -9, -14, -13, 12, 2],\n [4, -2, -14, 9, 3, -16, 3],\n [2, -2, -13, 3, 12, -2, 5],\n [-8, -7, 12, -16, -2, -3, 14],\n [-14, -10, 2, 3, 5, 14, -2]]? Round to the nearest integer, then... | 304 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-10, 11, 1, 8, 11, 13, -13],\n [0, 5, 14, -14, -17, -16, 12],\n [0, 0, -2, -16, -10, -15, 7],\n [0, 0, 0, -3, 1, 16, 11],\n [0, 0, 0, 0, 2, 0, -15],\n [0, 0, 0, 0, 0, 12, 17],\n [0, 0, 0, 0, 0, 0, 7]]? Round to the nearest integer, then express your answer... | 600 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[14, -14, 5, 2, -10, -8, 14],\n [-14, -4, -8, 10, 14, -4, 14],\n [5, -8, -7, -9, 6, -7, -4],\n [2, 10, -9, -5, 16, -11, 4],\n [-10, 14, 6, 16, 12, 0, -4],\n [-8, -4, -7, -11, 0, 6, 0],\n [14, 14, -4, 4, -4, 0, 2]]\nRound to the nearest integer, then give y... | 992 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-14, 2, -2, -11, 10, 2, 10],\n [2, -5, 8, 2, 12, -16, -11],\n [-2, 8, 0, 1, 8, -10, 18],\n [-11, 2, 1, -1, -3, -2, 0],\n [10, 12, 8, -3, 0, 0, 3],\n [2, -16, -10, -2, 0, -2, 0],\n [10, -11, 18, 0, 3, 0, 17]]? Round to the nearest integer, then express your... | 460 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-15, -6, 2, -13, 7, 10, -6],\n [-6, -9, 3, -16, 16, 14, -8],\n [2, 3, 10, -10, -2, -16, 3],\n [-13, -16, -10, 10, 14, 2, -6],\n [7, 16, -2, 14, 18, -2, -9],\n [10, 14, -16, 2, -2, 4, 1... | 336 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[7, 17, -7, -17, 3, 0, 7],\n [0, -1, 4, 5, -6, 11, -1],\n [0, 0, 3, -10, -7, 6, 17],\n [0, 0, 0, 2, 15, 15, -15],\n [0, 0, 0, 0, 6, 7, -4],\n [0, 0, 0, 0, 0, -8, -3],\n [0, 0, 0, 0, 0, 0, 10]... | 160 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[18, -10, 2, -8, -2, 2, -2],\n [-10, 17, 4, -5, -6, -3, 1],\n [2, 4, 10, 8, -8, 5, -9],\n [-8, -5, 8, -10, 2, 4, 4],\n [-2, -6, -8, 2, -18, -15, -4],\n [2, -3, 5, 4, -15, 14, 9],\n [-2, 1, -9, 4, -4, 9, -7]]? Round to the nearest integer, then express your ... | 490 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-14, -18, 1, 7, -4, -12, -11],\n [-13, 1, -5, 11, -12, 10, -12],\n [-14, -17, 10, -16, 1, 11, -1],\n [6, 1, -5, -11, -10, 7, -10],\n [8, -15, -6, 12, -2, 18, 2],\n [-15, 7, 15, -5, 18, -4, -18],\n [5, -1, 5, 18, -9, -17, -2]]\nRound to the nearest integer, then ta... | 158 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[13, -9, -5, -9, 3, -17, 11],\n [0, -13, -9, 1, 8, -5, -9],\n [0, 0, 14, 12, 8, 13, -1],\n [0, 0, 0, -15, -3, -7, -16],\n [0, 0, 0, 0, 7, -9, 3],\n [0, 0, 0, 0, 0, 2, -5],\n [0, 0, 0, 0, 0, 0, 1]]\nRound to the nearest integer, then give your answer as det... | 860 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[9, -3, 6, -4, 2, 10, 2],\n [-3, -5, -2, 4, 0, 1, -5],\n [6, -2, 5, -2, 8, 8, 0],\n [-4, 4, -2, 4, -1, -16, -4],\n [2, 0, 8, -1, 15, -8, -6],\n [10, 1, 8, -16, -8, -11, 4],\n [2, -5, 0, -4, -6, 4, 11]]\nRound to the nearest integer, then give your answer a... | 74 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-2, -7, 11, 12, -11, -9, -15],\n [0, 12, 10, -17, -1, 0, 4],\n [0, 0, 18, 7, -11, 14, -6],\n [0, 0, 0, -4, 8, 18, 13],\n [0, 0, 0, 0, -1, 12, 4],\n [0, 0, 0, 0, 0, -2, 17],\n [0, 0, 0, 0, 0, 0, 10]]\nRound to the nearest integer, then take the result modulo 1000.\... | 560 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[11, -17, -3, -10, 16, -14, 8],\n [-14, -2, 11, -12, 16, -8, -16],\n [-18, 11, 13, 8, 15, -7, 3],\n [2, 11, 8, 14, 10, 6, 6],\n [10, -3, 0, -13, 7, 12, 2],\n [-13, 7, 18, -1, 14, 4, 1],... | 765 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[2, -11, -12, 14, -1, 2, -3],\n [-11, 11, 7, -8, 8, -11, 7],\n [-12, 7, -8, 16, -13, 1, 0],\n [14, -8, 16, -9, 10, 6, 2],\n [-1, 8, -13, 10, 2, -6, 6],\n [2, -11, 1, 6, -6, 2, -8],\n [-3, 7, 0, 2, 6, -8, 11]]\nRound to the nearest integer, then give your a... | 591 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, 16, -8, -1, -10, -2, 6],\n [-8, 9, -8, -4, -13, -5, -9],\n [-8, 2, 2, -15, 12, -3, 6],\n [6, -11, -8, -15, 7, 16, 11],\n [17, 15, -1, -10, -12, 11, 9],\n [6, -12, 17, 6, -11, 2, 8],\n [4,... | 956 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-7, 0, -16, -14, -5, 7, -5],\n [-15, -6, -14, -4, -14, -7, 10],\n [-13, 0, 6, 14, 1, 0, -1],\n [-3, 15, -11, 14, -11, -10, -4],\n [-12, -5, 15, 15, -11, 6, 17],\n [-7, -10, 12, -5, 6, -18, 6],\n [-8, -7, -1, 14, 7, -3, 7]]\nRound to the nearest integer, then take ... | 304 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[2, 16, -2, 6, -11, -4, 9],\n [-10, 18, 3, 7, 9, -10, 15],\n [14, -5, -18, 13, 1, 6, -4],\n [-16, -1, 13, 11, -1, -12, 3],\n [-3, -15, 17, -2, -1, -9, 8],\n [-18, -2, -5, 9, -16, -17, 1... | 20 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[4, 2, -6, 4, -2, -8, -10],\n [2, -12, 3, -4, 8, -11, -7],\n [-6, 3, 0, -8, 2, -4, -7],\n [4, -4, -8, 18, -11, -8, -3],\n [-2, 8, 2, -11, 7, -14, 16],\n [-8, -11, -4, -8, -14, 14, 3],\n [-10, -7, -7, -3, 16, 3, 9]]\nRound to the nearest integer, then take the resul... | 8 | MATH |
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