messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-16, 8, 8, 4, -9, 12, 0],\n [8, 15, 6, -14, 6, -2, 5],\n [8, 6, 9, -14, -9, -12, -4],\n [4, -14, -14, -15, -2, -4, -4],\n [-9, 6, -9, -2, 13, 1, 4],\n [12, -2, -12, -4, 1, -11, 11],\n [0, 5,... | 583 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[18, -16, -15, 8, -12, -5, 16],\n [-13, -3, -6, 2, 14, 0, 3],\n [18, -16, 12, 16, 2, 5, -2],\n [-11, 5, 13, -15, -13, -9, -13],\n [10, 12, 1, 3, -14, -3, 13],\n [-17, -1, -11, -3, -9, -3, -7],\n [-14, -2, 15, -14, 1, 2, 11]]? Round to the nearest integer, t... | 368 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-1, 16, 15, -12, 15, -3, 9],\n [0, -7, 9, -3, 4, 15, 0],\n [0, 0, -3, 15, 16, -4, 16],\n [0, 0, 0, -1, 16, -10, 8],\n [0, 0, 0, 0, 4, 8, 16],\n [0, 0, 0, 0, 0, -18, 14],\n [0, 0, 0, 0, 0, 0, 7]]? Round to the nearest integer, then express your answer modul... | 416 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[10, -2, 4, 13, 5, -18, -10],\n [8, 13, -3, -1, 0, 14, 10],\n [6, -11, 4, 16, -1, 12, -4],\n [16, -7, 7, 5, -6, 9, 10],\n [-16, 8, 16, -17, 3, -14, 5],\n [16, 13, 4, 6, -3, -16, 11],\n ... | 416 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[3, 10, -8, 0, 4, -10, 11],\n [10, 0, -2, 8, 0, 2, -1],\n [-8, -2, -17, 10, -5, -1, -5],\n [0, 8, 10, 11, -12, 0, 12],\n [4, 0, -5, -12, -10, -7, -16],\n [-10, 2, -1, 0, -7, 2, -2],\n [11, -1, -5, 12, -16, -2, 1]]\nRound to the nearest integer, then give y... | 693 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-10, -13, -9, -16, -18, -6, 17],\n [0, -2, -2, -5, -11, -10, 18],\n [0, 0, -1, 4, -7, 8, -3],\n [0, 0, 0, -15, 2, 17, -2],\n [0, 0, 0, 0, -1, -4, 12],\n [0, 0, 0, 0, 0, 14, 2],\n [0, 0... | 800 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[3, -5, 0, -17, 1, -16, 10],\n [0, 2, -12, 10, 2, 17, -9],\n [0, 0, 10, -4, 0, -4, 10],\n [0, 0, 0, -4, 13, -12, 1],\n [0, 0, 0, 0, 2, 12, 14],\n [0, 0, 0, 0, 0, 4, 1],\n [0, 0, 0, 0, 0, 0, 12]]\nRound to the nearest integer, then give your answer as det(A... | 960 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-9, -13, -10, -14, 2, 7, -11],\n [0, 7, -9, 6, -11, -2, -3],\n [0, 0, -5, 3, -15, 16, 7],\n [0, 0, 0, 2, 10, 16, -14],\n [0, 0, 0, 0, 6, 7, 3],\n [0, 0, 0, 0, 0, 17, 15],\n [0, 0, 0, 0, 0, 0, 5]]\nRound to the nearest integer, then take the result modulo 1000.\n\n... | 300 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-4, 17, 12, 17, -10, 16, 1],\n [-2, 16, -12, 9, -8, -1, 12],\n [-12, 3, 3, -14, 11, 13, 14],\n [4, 1, 3, 8, -14, 13, -12],\n [-4, -8, -11, -2, -9, -2, 15],\n [17, -6, 16, 3, -1, -18, -16],\n [-13, 1, 14, -6, -1, 7, 4]]? Round to the nearest integer, then e... | 840 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[4, 15, 9, 10, -17, -2, 0],\n [0, 3, -9, 18, -17, -6, -16],\n [0, 0, -6, -5, -18, -11, -18],\n [0, 0, 0, 4, 17, -4, 14],\n [0, 0, 0, 0, 8, 8, 13],\n [0, 0, 0, 0, 0, 18, 9],\n [0, 0, 0, 0, 0, ... | 168 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-17, -12, -8, 1, -2, -6, -10],\n [-12, -8, 1, -12, 1, 16, 5],\n [-8, 1, 1, 2, -12, 10, -6],\n [1, -12, 2, -1, 12, 6, 1],\n [-2, 1, -12, 12, 5, -8, 5],\n [-6, 16, 10, 6, -8, -9, 4],\n [-10, 5... | 694 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-18, 2, -6, 5, 4, -16, -12],\n [2, 3, 2, -4, -5, 6, 4],\n [-6, 2, -13, -10, -3, -6, -2],\n [5, -4, -10, -7, -13, -8, 12],\n [4, -5, -3, -13, -15, 2, 2],\n [-16, 6, -6, -8, 2, -15, 0],\n [-12... | 284 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-6, 10, 2, -6, -7, -9, -10],\n [10, -16, -16, 1, -5, -6, 9],\n [2, -16, -16, 2, 2, -6, -2],\n [-6, 1, 2, 6, -8, 0, 8],\n [-7, -5, 2, -8, -12, -8, 2],\n [-9, -6, -6, 0, -8, -5, 0],\n [-10, 9, -2, 8, 2, 0, 7]]\nRound to the nearest integer, then give your a... | 620 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[11, 8, 6, 2, 2, 0, -6],\n [8, 4, -2, 3, -4, -2, -4],\n [6, -2, 5, -13, -6, 11, 0],\n [2, 3, -13, 14, -12, -12, -6],\n [2, -4, -6, -12, -7, 5, 6],\n [0, -2, 11, -12, 5, -9, 1],\n [-6, -4, 0, -6, 6, 1, -7]]\nRound to the nearest integer, then give your answ... | 204 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-4, 12, 4, 8, 6, 6, -4],\n [12, 2, -4, 0, 4, -4, 2],\n [4, -4, -3, -3, -4, 11, -6],\n [8, 0, -3, 1, -2, -8, 12],\n [6, 4, -4, -2, 9, -12, -4],\n [6, -4, 11, -8, -12, 14, 4],\n [-4, 2, -6, 12, -4, 4, -14]]? Round to the nearest integer, then express your an... | 216 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[13, 0, 16, 2, -13, 4, -6],\n [0, -18, -5, -6, 2, 2, 7],\n [16, -5, -10, -2, 14, -10, 4],\n [2, -6, -2, -3, 2, 11, 0],\n [-13, 2, 14, 2, -6, -6, -8],\n [4, 2, -10, 11, -6, -14, 8],\n [-6, 7, ... | 977 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[16, 12, 14, 4, -16, -2, 15],\n [12, -15, -5, 5, -6, -4, 0],\n [14, -5, -18, -5, 10, 8, 2],\n [4, 5, -5, -16, -6, 8, -7],\n [-16, -6, 10, -6, 13, -8, 6],\n [-2, -4, 8, 8, -8, -4, 11],\n [15, ... | 460 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[6, -6, -5, -1, -3, 5, 2],\n [-6, -1, 0, 3, -8, 1, -9],\n [-5, 0, -4, -13, 3, 15, 1],\n [-1, 3, -13, -12, 5, -3, 13],\n [-3, -8, 3, 5, 3, -6, 0],\n [5, 1, 15, -3, -6, -18, -16],\n [2, -... | 482 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[1, -14, -8, -4, -5, -13, -1],\n [0, -11, 18, 2, 17, -14, 8],\n [0, 0, -8, 1, 2, -17, 0],\n [0, 0, 0, 15, 12, 10, -11],\n [0, 0, 0, 0, -1, 2, 3],\n [0, 0, 0, 0, 0, -3, 11],\n [0, 0, 0, 0, 0, 0, -9]]? Round to the nearest integer, then express your answer mo... | 360 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, -14, 0, -1, 4, 8, -4],\n [0, 12, -5, -9, 1, -17, 11],\n [0, 0, -4, 14, -18, 0, 16],\n [0, 0, 0, -3, 5, -2, -12],\n [0, 0, 0, 0, -11, -17, -6],\n [0, 0, 0, 0, 0, 1, -16],\n [0, 0, 0, 0, 0, 0, -5]]\nRound to the nearest integer, then take the result modulo 1000.\... | 280 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-16, -14, 17, 7, 5, -15, -7],\n [11, -18, 11, -1, -15, -17, 4],\n [0, 13, -8, 15, 4, 7, -14],\n [4, -5, 3, 4, -4, 5, 17],\n [18, 16, 5, -4, -10, 11, -9],\n [-6, -14, -15, 11, -16, -2, -13],\n [5, 3, -14, 5, -6, -2, -11]]? Round to the nearest integer, then... | 228 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-13, 15, 4, -10, 11, -10, -2],\n [-17, 17, 7, 2, 2, -3, 0],\n [10, 15, -10, 8, 0, 10, -13],\n [16, -9, 18, -3, -11, -7, 11],\n [-17, -10, 12, -15, -11, 6, 2],\n [-6, -8, -12, -4, 3, -1... | 557 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-4, 8, 6, 2, -9, 2, 14],\n [8, 4, -4, 0, 10, -2, 11],\n [6, -4, -8, 12, -6, 6, -10],\n [2, 0, 12, 18, -4, 6, 4],\n [-9, 10, -6, -4, 10, -10, 1],\n [2, -2, 6, 6, -10, -14, 9],\n [14, 11, -10, 4, 1, 9, 8]]\nRound to the nearest integer, then give your answe... | 696 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-12, -10, -12, 3, 12, 0, -3],\n [-10, -12, 9, 2, -2, 14, -11],\n [-12, 9, 2, -6, -15, 8, -11],\n [3, 2, -6, 18, -11, 2, 0],\n [12, -2, -15, -11, 3, 0, -13],\n [0, 14, 8, 2, 0, 0, 2],\n [-3, -11, -11, 0, -13, 2, -7]]\nRound to the nearest integer, then giv... | 88 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-12, -9, 10, -8, 6, -15, -8],\n [-2, -7, 2, -7, -16, 18, 9],\n [-3, -4, -11, -13, 13, 10, -4],\n [14, -13, 7, 4, -7, -17, -9],\n [4, 14, 18, -16, 16, -12, -13],\n [-12, -3, -2, 1, -14, 14, 14],\n [13, 5, -12, -1, -14, -5, 4]]? Round to the nearest integer,... | 136 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-7, 8, 12, 2, -11, -6, -2],\n [8, -9, -7, -2, 0, -1, -14],\n [12, -7, 13, -9, -1, -8, -13],\n [2, -2, -9, -6, -2, 0, -15],\n [-11, 0, -1, -2, 9, 4, -11],\n [-6, -1, -8, 0, 4, -17, 3],\n [-2, -14, -13, -15, -11, 3, -13]]\nRound to the nearest integer, then take the... | 976 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-7, -15, -6, -16, 5, 6, -10],\n [18, 8, -15, 13, -18, 4, 12],\n [-7, 3, 5, -4, 7, 3, 9],\n [-13, 8, 5, -4, -2, -12, 5],\n [5, 5, 15, -10, -3, -1, -1],\n [18, -14, 2, 11, 2, 7, -6],\n [-17, -4, -9, -2, 5, 13, -3]]\nRound to the nearest integer, then take the result... | 718 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-16, 1, 14, -6, -5, -15, -16],\n [10, -9, -3, -2, -16, -18, 13],\n [15, -2, 4, -16, -5, 0, 1],\n [-13, 3, -18, 16, -18, -11, -6],\n [15, 8, 18, -13, 16, 6, -1],\n [-4, 14, -9, 13, -12, 3, -1... | 644 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-15, -9, 4, 7, -11, -9, 14],\n [0, 2, -3, 17, -8, -6, 0],\n [0, 0, -17, -2, 7, 12, 6],\n [0, 0, 0, -1, -11, 7, -15],\n [0, 0, 0, 0, -3, -14, -16],\n [0, 0, 0, 0, 0, -3, 14],\n [0, 0, 0, 0, 0... | 50 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[1, 11, -18, -14, 5, -7, 4],\n [0, 7, -10, -6, -11, 14, 18],\n [0, 0, -14, -18, -15, -18, -10],\n [0, 0, 0, 14, -15, -8, 4],\n [0, 0, 0, 0, -1, 1, 6],\n [0, 0, 0, 0, 0, -14, -1],\n [0, 0, 0, 0, 0, 0, -8]]\nRound to the nearest integer, then give your answe... | 664 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-15, 6, -14, -3, -3, 2, 4],\n [-18, 6, -12, 15, 0, -15, -1],\n [-15, -7, -13, -2, 11, 0, -18],\n [9, 16, 4, 0, -7, -15, -11],\n [-7, -17, 12, -10, 14, 0, 1],\n [-12, -2, -1, -10, -16, -9, 8],\n [-4, -2, -8, 0, -14, -2, 14]]\nRound to the nearest integer, then take... | 872 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[5, 0, 10, -2, 0, -6, 4],\n [0, 16, -2, -6, -2, 0, 10],\n [10, -2, -16, -2, 2, 8, 2],\n [-2, -6, -2, 12, 10, -5, 10],\n [0, -2, 2, 10, 13, -10, 1],\n [-6, 0, 8, -5, -10, -15, 10],\n [4,... | 884 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-18, 17, 3, 15, 14, 8, -4],\n [-18, 9, -12, -1, -15, 0, 8],\n [-12, -16, -3, -18, 4, -12, -2],\n [-10, 14, 9, 9, 16, 6, 11],\n [14, 14, -18, 12, -13, -10, -17],\n [-16, -8, 4, -18, 2, 14, 14... | 394 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[5, 4, 6, -13, 5, 4, 14],\n [18, 8, 16, -7, 16, 10, 5],\n [-2, -7, 13, 16, -11, -15, -1],\n [18, 9, 6, -13, -7, 6, -13],\n [9, -18, 15, 16, 4, -7, 1],\n [11, 8, 3, -14, 7, -2, -18],\n [7, -9, 8, -13, -1, 10, 16]]\nRound to the nearest integer, then take the result ... | 821 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[7, -11, -14, 13, 5, 0, 0],\n [-8, -18, -5, 12, -7, 10, -7],\n [-7, -14, 9, -13, 15, -15, 4],\n [-12, -3, -3, 3, -15, -18, -11],\n [8, -10, 0, 8, 2, -8, 18],\n [8, 0, 2, 10, -2, 1, 15],... | 886 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[17, -16, -5, -2, 9, 10, 1],\n [0, 16, 3, 3, 8, 17, 16],\n [0, 0, 14, -15, 9, -17, -11],\n [0, 0, 0, -2, -2, 4, -16],\n [0, 0, 0, 0, -3, -3, -9],\n [0, 0, 0, 0, 0, -1, 3],\n [0, 0, 0, 0... | 264 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-12, 15, 17, -5, -7, 16, 1],\n [0, -6, 1, 7, 2, 10, 17],\n [0, 0, 1, 2, 17, -10, 3],\n [0, 0, 0, 1, 2, 4, 7],\n [0, 0, 0, 0, 1, -16, -12],\n [0, 0, 0, 0, 0, 12, -10],\n [0, 0, 0, 0, 0, 0, -9... | 224 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-15, 14, -11, 7, 5, 1, -9],\n [-6, 8, -5, 0, -14, 10, 18],\n [-8, -2, -6, 12, 17, -8, 12],\n [13, -5, -7, 4, 16, -3, 3],\n [6, 12, 8, -18, 6, 6, -15],\n [-10, -17, -1, 15, 12, -5, -16],\n [-6, -5, -8, 14, 13, -3, -2]]? Round to the nearest integer, then ex... | 647 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-4, -6, -5, 6, 6, 2, -3],\n [-6, -13, 11, -9, 0, -2, 6],\n [-5, 11, -17, 4, 0, 2, 0],\n [6, -9, 4, 13, -7, -14, -4],\n [6, 0, 0, -7, 5, -2, 4],\n [2, -2, 2, -14, -2, 1, 0],\n [-3, 6, 0, -4, 4, 0, -7]]\nRound to the nearest integer, then give your answer a... | 392 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[8, 16, -15, -6, 0, 12, 1],\n [0, -1, -4, 0, -15, -4, -15],\n [0, 0, -7, 4, 11, 5, -14],\n [0, 0, 0, 9, 9, -4, 4],\n [0, 0, 0, 0, -3, -14, 14],\n [0, 0, 0, 0, 0, 5, -4],\n [0, 0, 0, 0, 0, 0, -14]]? Round to the nearest integer, then express your answer modu... | 840 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[4, 15, 11, 4, 4, -14, -6],\n [0, 5, 5, 17, -18, -9, 10],\n [0, 0, -11, -12, -8, 11, -3],\n [0, 0, 0, -2, 15, 18, -10],\n [0, 0, 0, 0, -3, -14, -6],\n [0, 0, 0, 0, 0, 17, 6],\n [0, 0, 0, 0, 0, 0, -7]]\nRound to the nearest integer, then give your answer as... | 80 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-12, -16, 16, -8, 12, 17, -16],\n [0, -4, -16, -4, -4, -12, -12],\n [0, 0, -12, 4, -6, -3, -7],\n [0, 0, 0, 7, -14, -15, -5],\n [0, 0, 0, 0, -4, 15, 2],\n [0, 0, 0, 0, 0, -5, 10],\n [0, 0, 0, 0, 0, 0, -1]]\nRound to the nearest integer, then give your ans... | 640 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[2, 2, 10, -9, 1, 2, 8],\n [2, -13, -9, 10, -8, -12, -8],\n [10, -9, -10, 12, -2, 3, -6],\n [-9, 10, 12, -12, 4, 4, 12],\n [1, -8, -2, 4, -12, 6, 8],\n [2, -12, 3, 4, 6, 18, 0],\n [8, -8, -6, 12, 8, 0, -13]]\nRound to the nearest integer, then take the result modul... | 112 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-10, -13, -2, 11, -14, -9, 7],\n [3, 10, -12, 11, 5, -4, -2],\n [-13, -6, -16, 9, -12, 9, -8],\n [-15, -11, -18, 15, -4, -16, 18],\n [-7, 14, 14, -12, 8, -18, 11],\n [4, -12, 4, -14, -15, -12, -14],\n [7, 17, -2, -5, 5, -9, -7]]? Round to the nearest integ... | 822 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[11, 6, 5, 7, -13, 7, 12],\n [18, 3, -7, 9, -15, 5, -18],\n [-7, -3, 0, -9, -5, 16, 7],\n [-4, 17, -12, 14, 17, 4, 13],\n [-5, 5, 7, 7, -14, 1, -15],\n [10, -6, -16, -11, 15, 12, 15],\n [-1, -1, 18, -4, 11, 12, 2]]? Round to the nearest integer, then expres... | 320 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-10, 0, -12, -6, -4, -6, 10],\n [0, -13, -8, 15, 14, -17, 8],\n [-12, -8, -1, 2, -1, 11, 6],\n [-6, 15, 2, -2, -3, -8, -5],\n [-4, 14, -1, -3, 2, -5, 3],\n [-6, -17, 11, -8, -5, -1, -2],\n [10, 8, 6, -5, 3, -2, 4]]\nRound to the nearest integer, then take the resu... | 446 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[16, -2, -3, 11, 9, 10, -9],\n [-2, -2, -8, 0, 0, 6, -10],\n [-3, -8, -16, -2, 3, -10, -8],\n [11, 0, -2, 9, 1, 0, -3],\n [9, 0, 3, 1, 0, 12, 8],\n [10, 6, -10, 0, 12, 13, -4],\n [-9, -10, -8, -3, 8, -4, 15]]\nRound to the nearest integer, then give your a... | 626 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[5, 10, -16, -15, -8, 5, -13],\n [-10, -2, 15, -12, 8, 6, 5],\n [-15, -11, 3, 15, -9, -13, 15],\n [14, -5, -14, 0, 15, 8, 2],\n [4, -3, -11, -13, 18, 5, 9],\n [-12, -8, -7, -2, 17, 11, -12],\n [11, 4, 5, -10, -9, 13, -13]]\nRound to the nearest integer, then take t... | 141 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-17, 12, -4, 8, 5, 9, 13],\n [0, 16, 3, 1, -10, -6, 14],\n [0, 0, 2, -13, -16, 10, 18],\n [0, 0, 0, 14, 9, 1, -18],\n [0, 0, 0, 0, 13, 5, 16],\n [0, 0, 0, 0, 0, -15, -3],\n [0, 0, 0, 0, 0, 0... | 320 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[14, -17, -6, 16, -4, -6, 8],\n [-17, 8, 9, -8, 2, 0, 2],\n [-6, 9, -18, -8, -4, 5, -3],\n [16, -8, -8, 0, -13, -4, 2],\n [-4, 2, -4, -13, -3, 4, -13],\n [-6, 0, 5, -4, 4, 10, 12],\n [8, 2, -3, 2, -13, 12, 11]]? Round to the nearest integer, then express yo... | 579 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-11, 2, -2, -14, 2, 6, 4],\n [2, 8, 2, 4, -10, 10, -4],\n [-2, 2, -5, -8, -2, 14, -2],\n [-14, 4, -8, -17, 8, 6, 0],\n [2, -10, -2, 8, -10, -6, 1],\n [6, 10, 14, 6, -6, 5, -4],\n [4, -4, -2,... | 36 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-1, 3, 15, -17, 11, 5, 18],\n [-2, -14, -2, -17, 4, -18, 6],\n [12, -4, -12, -14, -10, 12, 11],\n [-2, 12, 14, -18, -13, -5, -11],\n [12, -10, 17, 16, 11, -2, -17],\n [3, 2, 10, 18, 7, 6, -13],\n [10, -13, 18, -6, -1, -2, 7]]\nRound to the nearest integer, then ta... | 849 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[14, -6, 3, -15, -12, -6, 6],\n [-6, -8, -8, -2, -4, -3, -10],\n [3, -8, 6, -10, -6, -1, 16],\n [-15, -2, -10, -14, 4, 2, -16],\n [-12, -4, -6, 4, 13, -4, -14],\n [-6, -3, -1, 2, -4, 17, 1],\... | 320 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[2, -13, 17, -16, -14, 9, 2],\n [0, -8, -10, -3, 18, -12, -16],\n [0, 0, 6, -5, -14, -4, 11],\n [0, 0, 0, 13, -15, -17, 1],\n [0, 0, 0, 0, 1, 10, 6],\n [0, 0, 0, 0, 0, -7, -17],\n [0, 0, 0, 0... | 152 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[10, 9, 18, 13, -5, -15, 2],\n [0, 4, 9, 6, 3, -18, 1],\n [0, 0, -2, 18, -7, -4, 16],\n [0, 0, 0, 15, 12, -14, 11],\n [0, 0, 0, 0, -7, 11, -6],\n [0, 0, 0, 0, 0, 4, 6],\n [0, 0, 0, 0, 0, 0, 4]]\nRound to the nearest integer, then give your answer as det(A)... | 400 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[7, -15, 10, -7, -2, 0, 8],\n [0, -3, -12, -12, 8, -8, 4],\n [0, 0, 14, -7, 8, 18, 16],\n [0, 0, 0, 11, -2, 2, 17],\n [0, 0, 0, 0, 1, -18, -1],\n [0, 0, 0, 0, 0, -15, -10],\n [0, 0, 0, 0, 0, 0, 1]]? Round to the nearest integer, then express your answer mod... | 510 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-2, 2, 5, -4, -9, 0, 4],\n [2, -1, -12, 8, 2, -7, -12],\n [5, -12, -5, -6, -2, 1, -12],\n [-4, 8, -6, -9, -10, 6, 6],\n [-9, 2, -2, -10, 8, -10, -2],\n [0, -7, 1, 6, -10, 9, -6],\n [4, -12, -12, 6, -2, -6, 6]]\nRound to the nearest integer, then give your... | 194 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[14, 16, 7, -10, 18, 11, 2],\n [0, 1, 10, 16, 3, 15, -1],\n [0, 0, -18, 13, 6, -16, 3],\n [0, 0, 0, -4, 10, -18, 12],\n [0, 0, 0, 0, 17, 2, -6],\n [0, 0, 0, 0, 0, 7, -7],\n [0, 0, 0, 0, 0, 0,... | 952 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-5, -2, 8, 16, -7, 0, -14],\n [-2, -6, -3, -6, 8, 7, 3],\n [8, -3, 11, 3, -6, 4, 8],\n [16, -6, 3, 1, 13, 14, -8],\n [-7, 8, -6, 13, 13, -5, 12],\n [0, 7, 4, 14, -5, 0, -12],\n [-14, 3, 8, -8, 12, -12, -7]]\nRound to the nearest integer, then give your an... | 532 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-12, -5, -9, -14, 12, 7, -11],\n [0, 10, 2, -11, -7, 0, 14],\n [0, 0, 2, -14, -2, -7, 10],\n [0, 0, 0, -5, -18, 2, 14],\n [0, 0, 0, 0, 6, -7, 5],\n [0, 0, 0, 0, 0, 3, 15],\n [0, 0, 0, ... | 400 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[11, 14, 0, -7, 2, 0, -14],\n [14, 14, 8, -6, 12, 4, -4],\n [0, 8, -7, 4, -4, 16, 2],\n [-7, -6, 4, -16, 5, -6, 2],\n [2, 12, -4, 5, -1, 2, 12],\n [0, 4, 16, -6, 2, -15, 3],\n [-14, -4, 2, 2, 12, 3, 17]]\nRound to the nearest integer, then give your answer... | 968 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[4, 4, 5, -14, 14, -2, -1],\n [4, -11, 4, 10, -4, -6, -10],\n [5, 4, -3, -3, 5, 4, 8],\n [-14, 10, -3, -13, -18, -6, 5],\n [14, -4, 5, -18, -7, -3, 4],\n [-2, -6, 4, -6, -3, -13, 11],\n [-1, -10, 8, 5, 4, 11, 7]]\nRound to the nearest integer, then give yo... | 478 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[17, -15, -7, 10, -3, 16, 5],\n [13, 15, 5, 18, 4, -5, -7],\n [-18, -8, -15, -11, -11, 5, 10],\n [18, 13, 2, -17, -11, -7, -2],\n [-6, -16, 11, 18, -16, 15, -10],\n [-12, -2, 12, 8, 2, 18, -1... | 358 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[4, -5, -7, 6, -9, -16, 8],\n [-5, 7, -4, -4, -10, -11, 2],\n [-7, -4, -6, 10, 0, 6, 4],\n [6, -4, 10, 15, -8, 2, -4],\n [-9, -10, 0, -8, 13, -2, -2],\n [-16, -11, 6, 2, -2, 9, -3],\n [8, 2, ... | 81 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-16, -4, -10, -2, 11, 0, -2],\n [-4, 3, -4, 4, -8, 11, 4],\n [-10, -4, -4, -8, 6, -10, -1],\n [-2, 4, -8, 15, -8, -11, -4],\n [11, -8, 6, -8, 2, 15, -6],\n [0, 11, -10, -11, 15, 18, -1],\n [... | 316 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-6, -6, 7, 13, 6, 0, 5],\n [0, 1, 18, 16, -9, -11, -10],\n [0, 0, -5, 0, -10, -7, 14],\n [0, 0, 0, -3, -5, -7, -2],\n [0, 0, 0, 0, 1, 7, 4],\n [0, 0, 0, 0, 0, 6, -13],\n [0, 0, 0, 0, 0... | 820 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-14, -18, -14, -16, -15, 2, 16],\n [-11, -10, 0, 3, 7, -13, -14],\n [2, -4, -12, 10, -18, -9, 11],\n [10, 10, 18, -13, 5, -16, 11],\n [0, -4, 11, 5, 3, -4, -13],\n [5, 1, -6, 5, 1, 7, ... | 821 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[18, 11, 8, -7, 18, -13, 16],\n [0, 4, -8, 16, -14, 11, -5],\n [0, 0, -4, 3, -8, 11, 18],\n [0, 0, 0, 2, -18, -2, -9],\n [0, 0, 0, 0, -2, -2, 3],\n [0, 0, 0, 0, 0, 7, -18],\n [0, 0, 0, 0, 0, 0, 8]]? Round to the nearest integer, then express your answer mod... | 512 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[13, -12, -10, -6, -2, 0, 16],\n [-12, -12, 2, -8, 4, 4, 0],\n [-10, 2, -17, 12, -10, 0, 2],\n [-6, -8, 12, 16, 10, 0, 8],\n [-2, 4, -10, 10, 12, 11, -4],\n [0, 4, 0, 0, 11, -1, -14],\n [16, 0, 2, 8, -4, -14, -14]]\nRound to the nearest integer, then give ... | 568 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[1, -18, -6, 12, 18, 12, -13],\n [0, 16, -9, -9, -16, -3, -13],\n [0, 0, -2, 12, 0, 4, -4],\n [0, 0, 0, -16, -17, -18, -10],\n [0, 0, 0, 0, 2, -14, -10],\n [0, 0, 0, 0, 0, -1, -9],\n [0, 0, 0, 0, 0, 0, 17]]\nRound to the nearest integer, then give your ans... | 592 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-1, -12, 8, 7, -4, 12, 6],\n [17, 0, -11, 18, 5, -18, -7],\n [-6, -6, 18, 5, -12, 10, -16],\n [5, 7, 8, -10, -4, -2, 12],\n [-4, 17, -10, -9, 17, -16, 9],\n [-1, 1, -5, -13, -2, -15, 15],\n [-1, 6, 5, 11, -4, 18, 16]]\nRound to the nearest integer, then take the r... | 302 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, -6, -2, -6, -2, -3, 6],\n [-6, 8, -7, 10, -6, -12, -9],\n [-2, -7, 10, 14, 12, 0, 13],\n [-6, 10, 14, -6, 16, -2, -9],\n [-2, -6, 12, 16, 5, 2, -8],\n [-3, -12, 0, -2, 2, 6, -9],\n [6, -9, 13, -9, -8, -9, -13]]\nRound to the nearest integer, then take the resul... | 225 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-1, -6, 8, 6, -12, -6, 2],\n [-6, 6, -5, 6, -1, -6, -13],\n [8, -5, -11, -5, -16, 4, -10],\n [6, 6, -5, 1, -9, 4, -7],\n [-12, -1, -16, -9, -16, -3, 0],\n [-6, -6, 4, 4, -3, 10, 4],\n [2, -13, -10, -7, 0, 4, 17]]? Round to the nearest integer, then express... | 58 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-17, -10, 7, -3, 10, 1, -10],\n [-10, -10, 1, 2, 4, 8, 10],\n [7, 1, 12, -2, -17, 2, 2],\n [-3, 2, -2, 11, 1, 11, -6],\n [10, 4, -17, 1, -16, 0, 12],\n [1, 8, 2, 11, 0, -2, -16],\n [-10, 10, 2, -6, 12, -16, -12]]\nRound to the nearest integer, then give y... | 668 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-5, 10, -4, 2, 17, 0, 9],\n [-9, -12, 16, 12, 9, -2, -4],\n [-6, 16, 8, -5, -4, -15, -18],\n [-8, -8, -13, 15, -2, 4, 4],\n [-2, -1, 17, 8, -7, -16, 8],\n [4, -5, -11, 9, 15, -14, -1],\n [14, -14, 4, 10, -16, -4, 8]]\nRound to the nearest integer, then take the re... | 592 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-7, 14, -17, 15, 2, 9, 11],\n [10, 6, -7, 2, -11, 3, -16],\n [12, 16, -11, 17, -6, 16, 16],\n [-14, 15, -9, 0, 6, 2, 17],\n [-16, 12, 11, -7, -4, -11, 3],\n [9, 17, -12, -7, 3, 5, -15],\n [-14, -10, 13, 9, -4, 1, 6]]\nRound to the nearest integer, then take the re... | 937 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-14, 8, 3, 4, -1, -13, 0],\n [-9, 11, 3, -18, 7, 11, -13],\n [18, 18, 9, 12, -12, 1, -5],\n [-2, -7, 11, 9, -8, 4, 16],\n [-6, 14, -13, -2, 14, -5, 3],\n [16, 6, 14, 7, -11, 6, -2],\n [-4, 10, -16, 17, -16, -9, 8]]\nRound to the nearest integer, then give... | 242 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-5, -8, 16, 9, -1, -12, -12],\n [0, 18, 17, -13, 11, 12, -14],\n [0, 0, -11, -6, 1, 18, 15],\n [0, 0, 0, 1, 5, -15, -7],\n [0, 0, 0, 0, 6, 17, 18],\n [0, 0, 0, 0, 0, -1, -10],\n [0, 0, 0, 0, 0, 0, 2]]? Round to the nearest integer, then express your answer... | 120 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[1, -10, -6, -5, -4, -2, -2],\n [-10, -4, 8, -8, -13, -6, 2],\n [-6, 8, -13, -2, -9, -6, 6],\n [-5, -8, -2, -18, -16, 12, -12],\n [-4, -13, -9, -16, 9, 2, -2],\n [-2, -6, -6, 12, 2, 5, -2],\n [-2, 2, 6, -12, -2, -2, -3]]\nRound to the nearest integer, then take the... | 273 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-14, 14, 1, -1, -3, 15, -18],\n [0, -6, 18, 18, -9, 8, 15],\n [0, 0, 9, 11, 17, -17, -10],\n [0, 0, 0, 6, -5, 4, 1],\n [0, 0, 0, 0, 15, 4, -12],\n [0, 0, 0, 0, 0, -13, 3],\n [0, 0, 0, 0, 0, 0, -11]]\nRound to the nearest integer, then give your answer as ... | 720 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[11, 12, -18, -8, -2, 10, -9],\n [-6, -16, -9, 6, 5, -2, 7],\n [4, -12, -5, 6, -8, 17, -9],\n [-12, -8, -13, 7, -1, 14, -16],\n [-1, 18, -6, -2, 8, -13, 11],\n [-16, 4, 15, 10, -18, -13, -5],\n [-18, 12, -3, -12, 18, -11, -16]]\nRound to the nearest integer, then t... | 928 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-17, 7, -1, -4, -16, 18, -8],\n [14, 1, -7, 0, 14, -2, -7],\n [7, -12, 4, 5, 10, 12, -5],\n [-6, 13, -15, -14, -14, -14, 17],\n [-7, 3, -13, -3, -7, -18, -12],\n [-10, -10, 1, -11, 16, 18, -3],\n [14, 12, 6, 3, -11, -15, 11]]\nRound to the nearest integer... | 808 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-11, -16, 13, 17, -10, 8, 9],\n [0, -1, -7, 5, 5, -14, 5],\n [0, 0, 3, -17, -1, -13, 14],\n [0, 0, 0, 18, 0, -2, 6],\n [0, 0, 0, 0, -6, 9, -1],\n [0, 0, 0, 0, 0, -3, 6],\n [0, 0, 0, 0,... | 380 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[10, 2, 2, -3, -1, 3, -4],\n [2, 18, 0, 1, -12, 6, 12],\n [2, 0, 11, 2, -5, -5, 12],\n [-3, 1, 2, -18, 10, -17, 2],\n [-1, -12, -5, 10, -4, -6, -4],\n [3, 6, -5, -17, -6, -4, 0],\n [-4, 12, 12, 2, -4, 0, 1]]\nRound to the nearest integer, then take the result modul... | 546 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[1, 1, 0, -17, -17, -9, -1],\n [0, 14, -5, -10, -6, -9, 1],\n [0, 0, -12, 3, -5, -3, 3],\n [0, 0, 0, 1, -8, -12, 15],\n [0, 0, 0, 0, 1, -6, -7],\n [0, 0, 0, 0, 0, 8, 15],\n [0, 0, 0, 0, 0, 0, 18]]? Round to the nearest integer, then express your answer modu... | 808 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-11, 17, 3, 1, -15, 14, -6],\n [4, -6, -15, -15, 0, -1, -5],\n [10, -7, -16, 3, -15, 6, 17],\n [16, 3, -7, 10, -15, 17, -5],\n [-3, -3, -15, 8, 12, -7, 18],\n [18, 10, 8, 8, -5, -16, -4],\n [-1, -18, -12, -6, 12, -2, -7]]\nRound to the nearest integer, th... | 192 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-5, -11, -12, -10, 9, 2, -13],\n [0, 16, -3, -15, 11, -4, -10],\n [0, 0, 3, 15, 11, 14, 14],\n [0, 0, 0, -18, 11, 0, -7],\n [0, 0, 0, 0, -9, 4, 4],\n [0, 0, 0, 0, 0, 3, 0],\n [0, 0, 0, 0, 0,... | 560 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-1, 3, -6, -12, 3, 8, 2],\n [3, -13, -6, -4, -8, -2, 13],\n [-6, -6, 13, 4, 2, -2, 8],\n [-12, -4, 4, 16, 4, -4, 1],\n [3, -8, 2, 4, 1, 11, -7],\n [8, -2, -2, -4, 11, 14, -10],\n [2, 13, 8, 1, -7, -10, 14]]\nRound to the nearest integer, then give your an... | 206 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-14, 4, 9, 10, -2, 2, 4],\n [4, 10, -6, 2, 6, 0, 6],\n [9, -6, 4, 4, -4, 0, 8],\n [10, 2, 4, -11, 10, 0, 15],\n [-2, 6, -4, 10, -12, -2, 2],\n [2, 0, 0, 0, -2, 2, -8],\n [4, 6, 8, 15, 2, -8, 10]]\nRound to the nearest integer, then take the result modulo 1000.\n\n... | 520 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-9, 10, 7, 10, 7, 6, -8],\n [9, -9, -18, 13, -9, -10, -18],\n [12, -3, 13, -5, -17, -9, 8],\n [-9, -8, 4, 12, -5, -8, 3],\n [-5, -2, 18, 2, -4, 7, -4],\n [-12, 17, 1, -9, 1, 14, -8],\n [14, 15, 11, -10, 11, 1, 0]]\nRound to the nearest integer, then give ... | 921 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[5, 9, -3, 17, 10, 14, 2],\n [2, -1, 16, -6, 4, -9, -4],\n [-11, 0, -9, -14, -1, -5, -8],\n [8, 10, 4, -12, 11, 4, 16],\n [1, -14, 2, 8, 11, 3, -16],\n [0, 9, -6, 3, 18, -3, -12],\n [6, -18, 16, 5, 8, -5, 18]]? Round to the nearest integer, then express you... | 246 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-5, 10, 0, 17, -3, 9, 5],\n [0, 6, -7, -5, -18, -18, -11],\n [0, 0, 7, 8, -17, -4, -8],\n [0, 0, 0, 11, -9, 0, -13],\n [0, 0, 0, 0, -2, 3, 15],\n [0, 0, 0, 0, 0, -1, 4],\n [0, 0, 0, 0, 0, 0, 11]]\nRound to the nearest integer, then take the result modulo 1000.\n\n... | 180 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-16, 13, 2, -8, 3, -4, -1],\n [-9, -17, -5, -15, -2, -16, 1],\n [-14, -1, -3, 6, 7, -9, -3],\n [-17, -9, -7, 6, 18, -5, -12],\n [16, 16, 8, -4, -13, 5, 8],\n [-14, 8, 14, 7, -13, -1, -11],\n [15, -2, -5, -3, -7, -4, 6]]\nRound to the nearest integer, then take the... | 916 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[18, -2, 14, -18, -2, -8, -12],\n [-2, -7, 1, 14, 1, 10, 8],\n [14, 1, -8, 0, 12, 8, 0],\n [-18, 14, 0, -12, 6, 4, 4],\n [-2, 1, 12, 6, -11, -16, 7],\n [-8, 10, 8, 4, -16, -13, -2],\n [... | 100 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[8, -6, -14, 1, -10, -17, 7],\n [4, 16, 8, 11, -10, 7, -13],\n [13, -17, 7, 6, -10, -5, -1],\n [-17, 7, 17, 0, -1, -4, -15],\n [1, 17, 17, -5, 6, 11, -14],\n [9, -16, -15, -5, 14, 4, 2],\n [-3, -7, -9, -7, -17, -18, 0]]\nRound to the nearest integer, then take the ... | 688 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[14, -6, 2, 8, 4, -6, -4],\n [-6, -13, 2, -7, -10, -8, -4],\n [2, 2, -17, 6, -16, -4, 0],\n [8, -7, 6, 16, -2, -10, 2],\n [4, -10, -16, -2, -2, -6, 10],\n [-6, -8, -4, -10, -6, 14, 12],... | 736 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-7, 15, 8, 14, -10, 11, -8],\n [-11, 13, -9, 17, 1, -6, 7],\n [18, 7, -18, 12, 8, -1, -10],\n [-8, 6, 10, -9, -14, 11, 8],\n [2, 10, -7, -4, 6, -4, 2],\n [16, -8, -8, 4, 16, -3, -13],\... | 417 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-5, 10, 13, -17, -16, -8, 11],\n [-12, 2, 0, 4, -15, 3, 16],\n [9, -17, -2, 3, 3, -11, 3],\n [14, 5, 14, -7, -8, -5, 8],\n [-7, -6, 8, 10, -4, 6, -11],\n [-16, -6, 6, 13, -11, -5, -12],\n [-... | 901 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[15, -3, 0, -1, 0, 7, 7],\n [-3, -11, -2, -1, 5, 2, -2],\n [0, -2, 16, 2, 3, 2, 4],\n [-1, -1, 2, 18, 16, -12, 4],\n [0, 5, 3, 16, 13, -1, 10],\n [7, 2, 2, -12, -1, 18, -10],\n [7, -2, 4, 4, ... | 862 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-8, -17, -8, 2, 13, 16, 16],\n [0, -9, 7, -17, 8, 11, -2],\n [0, 0, -16, 11, 11, 16, 10],\n [0, 0, 0, -10, 4, -17, -13],\n [0, 0, 0, 0, -1, -13, 1],\n [0, 0, 0, 0, 0, 10, -9],\n [0, 0, 0, 0, 0, 0, 7]]\nRound to the nearest integer, then give your answer a... | 600 | MATH |
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