messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1
value |
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[
{
"content": "Determine the value of det(A) where A =\n[[-5, 0, -18, -14, -10, 0, 8],\n [0, 7, -10, -9, -14, -8, -14],\n [0, 0, 4, -7, -16, 3, 10],\n [0, 0, 0, 17, 16, -2, 6],\n [0, 0, 0, 0, -13, -14, 16],\n [0, 0, 0, 0, 0, 16, -4],\n [0, 0, 0, 0, 0, 0, -12]]\nRound to the nearest integer, then give your answer... | 520 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[8, -4, 6, -12, 16, 12, 2],\n [-4, 9, 4, -4, 10, 4, -6],\n [6, 4, 12, -3, -6, -16, 2],\n [-12, -4, -3, -6, -9, 4, -7],\n [16, 10, -6, -9, -16, 0, -4],\n [12, 4, -16, 4, 0, 9, 12],\n [2, -6, 2, -7, -4, 12, 15]]\nRound to the nearest integer, then give your ... | 156 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, 11, 6, 2, -3, -2, -11],\n [11, -13, -5, -2, 11, 10, -6],\n [6, -5, -6, 6, 14, 0, 1],\n [2, -2, 6, 3, -16, 6, -12],\n [-3, 11, 14, -16, -13, -10, 2],\n [-2, 10, 0, 6, -10, 4, 2],\n [... | 252 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-7, 14, 10, -5, -4, 18, 1],\n [0, -4, 0, 17, -14, 11, 6],\n [0, 0, 3, 12, -5, -7, 14],\n [0, 0, 0, 14, 6, -5, -11],\n [0, 0, 0, 0, 11, -16, -11],\n [0, 0, 0, 0, 0, -6, -3],\n [0, 0, 0, 0, 0, 0, -16]]? Round to the nearest integer, then express your answer ... | 856 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[16, 9, 3, -9, 8, 1, 3],\n [9, 11, -6, -3, -9, 0, -13],\n [3, -6, -9, 6, 9, 5, 12],\n [-9, -3, 6, -11, 2, -5, 10],\n [8, -9, 9, 2, -10, 6, 12],\n [1, 0, 5, -5, 6, -7, -2],\n [3, -13, 12, 10, 12, -2, -7]]\nRound to the nearest integer, then take the result modulo 10... | 720 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[3, 1, 7, -6, -11, -16, 17],\n [-8, 13, 11, -8, -9, 1, -16],\n [-4, 14, 8, -16, 8, 8, 11],\n [-5, -8, 5, 7, 13, 7, -13],\n [15, 0, 17, 7, -5, 13, 9],\n [6, 0, 10, 11, 17, -16, -9],\n [9, 1, -8, -15, -15, -13, -17]]\nRound to the nearest integer, then take the resul... | 352 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[7, 14, 0, 1, -8, 11, 9],\n [0, -17, -6, 5, 2, -11, -6],\n [0, 0, -9, 17, 0, -15, 18],\n [0, 0, 0, 5, -9, -11, -1],\n [0, 0, 0, 0, 10, 5, 14],\n [0, 0, 0, 0, 0, 11, -2],\n [0, 0, 0, 0, 0, 0, 12]]? Round to the nearest integer, then express your answer modul... | 600 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, -15, 1, 4, 7, -7, -6],\n [0, -14, -17, -4, -7, 8, 16],\n [0, 0, 15, -11, 6, -14, -3],\n [0, 0, 0, 11, 17, -15, -10],\n [0, 0, 0, 0, -1, 11, 8],\n [0, 0, 0, 0, 0, -2, 16],\n [0, 0, 0... | 400 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[3, 0, -7, 2, -10, 4, 18],\n [0, -14, 6, 4, 16, -2, -2],\n [-7, 6, -5, -4, -4, 6, -12],\n [2, 4, -4, 18, -6, 11, 10],\n [-10, 16, -4, -6, -11, 4, 10],\n [4, -2, 6, 11, 4, -9, -6],\n [18, -2, -12, 10, 10, -6, -5]]? Round to the nearest integer, then express ... | 508 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[15, 5, 18, -14, 16, 18, -4],\n [13, 15, 6, 3, 7, -13, 13],\n [16, 9, -5, -9, -9, -13, -16],\n [-8, 1, -14, 4, 6, -11, 15],\n [17, 8, -6, 11, 18, -17, -16],\n [2, -16, -9, -8, -2, 6, 18],\n [11, 11, 2, -1, -4, 13, -18]]\nRound to the nearest integer, then take the ... | 761 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-12, 6, 3, 3, -18, 11, 17],\n [6, 15, 10, 18, 0, 16, -10],\n [6, 0, -2, -18, 13, 5, 7],\n [-6, 14, -13, -13, -15, -14, 9],\n [-1, -15, 17, 7, 3, 4, -5],\n [-11, 15, 5, -9, -14, -9, 1],\n [-18, 0, -2, 4, 15, -10, 16]]\nRound to the nearest integer, then take the re... | 316 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[10, 0, 5, 10, -4, 10, 2],\n [0, 14, 8, -3, -6, 6, 12],\n [5, 8, -12, 6, -4, 6, -4],\n [10, -3, 6, 12, -5, -16, -12],\n [-4, -6, -4, -5, -12, -7, 6],\n [10, 6, 6, -16, -7, 2, 14],\n [2, 12, -4, -12, 6, 14, -2]]\nRound to the nearest integer, then take the result mo... | 418 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, -17, 18, 7, -7, -7, 1],\n [0, 18, 6, -16, -15, -9, 13],\n [0, 0, 8, 7, 0, -16, -11],\n [0, 0, 0, -8, 1, 15, 18],\n [0, 0, 0, 0, -9, 12, -6],\n [0, 0, 0, 0, 0, -12, -4],\n [0, 0, 0, 0, 0, ... | 328 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, 18, 16, -11, -18, 16, -17],\n [11, 8, 16, -1, 8, 2, 11],\n [6, -4, 1, 17, 8, -12, -16],\n [-10, -15, 6, 15, -16, 13, -2],\n [-17, 5, 4, -17, 7, 17, -10],\n [0, -7, 1, 9, 12, 11, 5]... | 280 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[12, 5, 16, 4, -14, 7, 13],\n [15, -5, -10, 10, 13, 9, 9],\n [-12, -18, 6, -4, 13, -17, -7],\n [5, -13, -8, -14, -17, 7, -9],\n [-2, -16, -1, -17, -1, 9, -4],\n [-6, 0, -15, -5, 9, -18, -7],\n [14, 7, -8, 17, 4, -8, 7]]? Round to the nearest integer, then e... | 356 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[5, 4, -8, -1, 15, 12, -14],\n [0, 7, 4, 11, 5, 13, -17],\n [0, 0, -10, -16, -16, -10, 13],\n [0, 0, 0, 14, 9, -8, -2],\n [0, 0, 0, 0, 1, 5, -14],\n [0, 0, 0, 0, 0, 1, 6],\n [0, 0, 0, 0... | 500 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[11, 17, -8, 11, 14, -6, 10],\n [0, -11, 16, -15, 0, 0, 3],\n [0, 0, -11, -7, 18, 1, -14],\n [0, 0, 0, 5, -10, 9, 5],\n [0, 0, 0, 0, 2, -6, -13],\n [0, 0, 0, 0, 0, 4, -18],\n [0, 0, 0, ... | 80 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[10, -6, -3, -8, -14, -16, -8],\n [7, -13, 7, -16, 8, -11, -8],\n [-14, -6, 16, 4, -15, -14, -6],\n [-3, -13, 12, -7, 2, 14, -13],\n [-17, 0, -8, 14, -15, -13, -16],\n [-3, 17, -5, 18, -11, -15, 0],\n [14, -15, -13, -4, -18, 3, -15]]? Round to the nearest i... | 940 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[0, 2, 2, 0, 16, 8, -9],\n [2, 3, 2, -12, 6, 4, -10],\n [2, 2, -3, 1, 6, 0, 3],\n [0, -12, 1, 5, -5, 10, -12],\n [16, 6, 6, -5, -16, 4, 8],\n [8, 4, 0, 10, 4, -15, 10],\n [-9, -10, 3, -12, 8, 10, 5]]\nRound to the nearest integer, then take the result modulo 1000.\... | 627 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-9, -2, 11, -9, -6, -13, -16],\n [0, 1, 6, -1, 9, 12, -10],\n [0, 0, 2, 4, -4, -11, -11],\n [0, 0, 0, 15, -5, 7, -7],\n [0, 0, 0, 0, 9, -2, -1],\n [0, 0, 0, 0, 0, 5, 10],\n [0, 0, 0, 0, 0, 0, 5]]? Round to the nearest integer, then express your answer modu... | 250 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[8, -9, -2, -8, -4, 12, -4],\n [-9, -16, 16, 0, -5, 2, 0],\n [-2, 16, -12, 2, -13, -8, 6],\n [-8, 0, 2, -10, -2, -5, 7],\n [-4, -5, -13, -2, 5, 2, -14],\n [12, 2, -8, -5, 2, 8, 2],\n [-4, 0, ... | 318 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-17, -3, -4, -10, -3, 1, 7],\n [-17, 3, 8, 5, -15, -12, -5],\n [-15, -18, 15, 7, -2, 1, 12],\n [-15, 15, -6, -10, -4, 5, 16],\n [-1, -11, -18, -11, -15, 10, 2],\n [-14, -6, -18, 13, -18, -16, -17],\n [-8, 2, -1, -8, 0, -18, -12]]? Round to the nearest inte... | 517 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-6, -2, 8, -1, -5, -4, 6],\n [-2, 10, 0, -4, 4, -15, -4],\n [8, 0, -12, 2, 8, 13, 10],\n [-1, -4, 2, -17, 14, -2, 4],\n [-5, 4, 8, 14, -6, 4, 2],\n [-4, -15, 13, -2, 4, -9, -4],\n [6, -4, 10, 4, 2, -4, -7]]\nRound to the nearest integer, then give your an... | 286 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-1, -12, 0, -4, -12, -1, -3],\n [0, -12, 10, 14, 2, 13, -13],\n [0, 0, -5, 6, -3, -1, -14],\n [0, 0, 0, 1, -14, 17, 2],\n [0, 0, 0, 0, -8, 8, 16],\n [0, 0, 0, 0, 0, 2, -9],\n [0, 0, 0, 0, 0,... | 920 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-3, -12, -18, 14, -15, -14, -1],\n [0, 4, 14, -7, -2, -13, -14],\n [0, 0, -5, 11, 5, -1, 9],\n [0, 0, 0, -3, -2, -10, -9],\n [0, 0, 0, 0, 17, 5, -1],\n [0, 0, 0, 0, 0, -4, -15],\n [0, 0, 0, 0, 0, 0, -6]]? Round to the nearest integer, then express your ans... | 560 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, 4, -12, -5, -10, 1, 16],\n [4, 5, -9, 3, -2, 14, 0],\n [-12, -9, -7, 12, -4, 4, -2],\n [-5, 3, 12, 16, 8, 8, 3],\n [-10, -2, -4, 8, -4, -2, 6],\n [1, 14, 4, 8, -2, 3, 4],\n [16, 0, -2, 3... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-12, 4, 7, -1, 12, -12, 4],\n [4, 7, 2, 6, -3, -2, 9],\n [7, 2, 6, 4, -8, 8, -1],\n [-1, 6, 4, -6, 15, -10, -9],\n [12, -3, -8, 15, 13, 10, -4],\n [-12, -2, 8, -10, 10, 3, 11],\n [4, 9, -1, -9, -4, 11, 9]]\nRound to the nearest integer, then take the result modulo... | 255 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-7, -2, -12, 3, -4, 6, -2],\n [-2, -8, 10, 11, -2, 2, 12],\n [-12, 10, -6, 0, -10, -6, 4],\n [3, 11, 0, -12, -10, -8, 0],\n [-4, -2, -10, -10, 1, -4, 4],\n [6, 2, -6, -8, -4, -5, -10],\n [-2, 12, 4, 0, 4, -10, -5]]? Round to the nearest integer, then expre... | 210 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[3, -2, -1, 6, 8, -6, 2],\n [0, 2, 17, 8, -11, -8, 17],\n [0, 0, 7, -7, -8, -12, -15],\n [0, 0, 0, 18, 5, -15, -10],\n [0, 0, 0, 0, 17, 7, 5],\n [0, 0, 0, 0, 0, -2, 11],\n [0, 0, 0, 0, 0, 0, 11]]\nRound to the nearest integer, then give your answer as det(... | 256 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-8, 14, -8, -1, -11, 12, 10],\n [0, 12, 7, 11, -1, -6, -9],\n [0, 0, 11, -1, 1, -2, 13],\n [0, 0, 0, -16, -10, 18, 16],\n [0, 0, 0, 0, 3, 17, -2],\n [0, 0, 0, 0, 0, 2, 18],\n [0, 0, 0,... | 368 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[18, -1, -7, -6, -8, -2, -4],\n [-1, -5, 4, 7, 14, 11, -6],\n [-7, 4, -18, 12, -4, 2, -4],\n [-6, 7, 12, -8, -4, -8, -12],\n [-8, 14, -4, -4, 6, -6, -3],\n [-2, 11, 2, -8, -6, 0, 2],\n ... | 476 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-9, -9, 6, 2, 2, 12, 2],\n [-9, -13, -7, 0, -8, 8, -4],\n [6, -7, 5, -10, 2, 0, 6],\n [2, 0, -10, 3, 0, -10, -6],\n [2, -8, 2, 0, 18, 0, 6],\n [12, 8, 0, -10, 0, 2, 1],\n [2, -4, 6, -6, 6, 1, 1]]? Round to the nearest integer, then express your answer modu... | 62 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-13, 8, -1, -4, -2, -7, 6],\n [8, 6, -7, 8, 0, -2, 0],\n [-1, -7, -8, -14, -5, -2, -4],\n [-4, 8, -14, -6, 2, -6, -7],\n [-2, 0, -5, 2, 13, 0, -15],\n [-7, -2, -2, -6, 0, 2, 1],\n [6, 0, -4,... | 967 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[7, 6, 0, -7, -6, -2, 4],\n [6, -2, 4, 8, -14, -8, 5],\n [0, 4, -17, 14, -6, 0, -6],\n [-7, 8, 14, -16, -5, -11, -1],\n [-6, -14, -6, -5, -16, 12, 13],\n [-2, -8, 0, -11, 12, 10, -14],\n [4, 5, -6, -1, 13, -14, 11]]\nRound to the nearest integer, then take the resu... | 280 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-6, 17, 6, 14, -9, -18, -14],\n [0, -5, 8, 4, 3, -5, -3],\n [0, 0, 11, -18, -1, 6, -7],\n [0, 0, 0, -5, 14, 13, -4],\n [0, 0, 0, 0, 8, 9, -16],\n [0, 0, 0, 0, 0, -6, 1],\n [0, 0, 0, 0, 0, 0, -4]]? Round to the nearest integer, then express your answer modu... | 200 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[12, 9, -6, 17, 3, -13, -9],\n [0, -6, 7, -1, 2, 2, 4],\n [0, 0, -9, -18, 16, -12, -9],\n [0, 0, 0, -16, -10, 1, -11],\n [0, 0, 0, 0, 16, 5, 2],\n [0, 0, 0, 0, 0, -15, -6],\n [0, 0, 0, ... | 440 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[15, 4, 10, -4, 0, 1, 5],\n [4, 1, 6, 2, 16, -7, 7],\n [10, 6, 8, 6, 8, -16, -4],\n [-4, 2, 6, -2, 3, -4, -4],\n [0, 16, 8, 3, 6, -4, -5],\n [1, -7, -16, -4, -4, -11, 2],\n [5, 7, -4, -... | 972 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[2, 18, -13, 9, 6, -6, -13],\n [0, 12, -5, -3, 11, -2, -10],\n [0, 0, -1, -2, 13, 10, 18],\n [0, 0, 0, -2, -9, 6, -11],\n [0, 0, 0, 0, 3, -15, 7],\n [0, 0, 0, 0, 0, -7, 17],\n [0, 0, 0, 0, 0, 0, -6]]\nRound to the nearest integer, then give your answer as ... | 48 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[18, 13, -16, 2, -9, 7, 2],\n [5, -15, 11, 13, 15, 14, -2],\n [12, -5, -2, -8, -3, -1, 6],\n [7, 18, 4, -3, 8, 11, 8],\n [-16, 15, -18, 8, -13, 15, 13],\n [13, 10, 7, 2, 13, -11, -9],\n [-6, -4, -11, -12, 5, 11, -6]]? Round to the nearest integer, then expr... | 776 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[2, 18, -12, 2, -16, -12, 13],\n [0, 12, -3, -14, -14, 2, 5],\n [0, 0, -16, 2, 3, 0, -4],\n [0, 0, 0, 3, -4, -9, -18],\n [0, 0, 0, 0, 1, 2, 1],\n [0, 0, 0, 0, 0, 1, 6],\n [0, 0, 0, 0, 0, 0, 8]]\nRound to the nearest integer, then give your answer as det(A)... | 784 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[14, 18, 5, -15, 2, 8, -16],\n [0, 13, 13, 16, 16, -7, -6],\n [0, 0, -3, 15, -7, -12, -18],\n [0, 0, 0, 10, 0, -3, 1],\n [0, 0, 0, 0, 1, -5, 15],\n [0, 0, 0, 0, 0, -1, 12],\n [0, 0, 0, 0, 0, ... | 480 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[15, -12, 13, -6, 3, 9, -9],\n [5, 2, 12, -9, 10, 4, 10],\n [-13, 13, 10, 12, 17, -14, 0],\n [6, -10, 3, -11, -10, 11, 10],\n [-10, 1, 12, 5, 11, 7, -15],\n [3, -8, 0, 5, 6, 2, 17],\n [-14, -6, 9, 0, -2, -16, 18]]? Round to the nearest integer, then express... | 137 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-13, -2, 8, 14, -1, -11, 18],\n [17, 13, -10, 13, 2, -17, -11],\n [-4, -5, -6, -1, -4, 13, 13],\n [-4, 16, -11, 8, 11, 3, 8],\n [-9, 13, -10, 13, -13, 15, 1],\n [15, 3, 16, -17, -16, -12, -15],\n [5, 5, 3, 17, 13, 14, 17]]? Round to the nearest integer, th... | 400 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-10, 15, 2, 15, -7, 1, -8],\n [1, 4, 0, -4, -12, 13, 12],\n [-11, 4, 14, 9, -2, 10, -7],\n [11, -1, -3, -14, 7, 8, 18],\n [-15, 9, -14, -16, -12, -9, 12],\n [-4, 1, -5, 4, -10, 0, 8],\n [-13... | 471 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[10, 12, -6, -2, 4, 14, 7],\n [12, 10, -14, 6, 1, -2, 0],\n [-6, -14, -12, -6, 9, 4, 0],\n [-2, 6, -6, 16, -12, 3, 0],\n [4, 1, 9, -12, 9, -4, 10],\n [14, -2, 4, 3, -4, 14, -16],\n [7, 0, 0, 0, 10, -16, -14]]? Round to the nearest integer, then express your... | 330 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, -7, -10, -7, 8, -16, 0],\n [-7, 12, -2, -10, 1, -6, 4],\n [-10, -2, -1, 10, 2, 8, -12],\n [-7, -10, 10, -8, 8, 5, 10],\n [8, 1, 2, 8, 3, -8, -8],\n [-16, -6, 8, 5, -8, 7, 2],\n [0,... | 403 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[17, -12, 14, -8, 6, 12, -1],\n [-12, -18, 14, 7, 0, -2, 1],\n [14, 14, -13, -7, -6, 1, -4],\n [-8, 7, -7, -6, -2, -14, 4],\n [6, 0, -6, -2, 11, -10, 4],\n [12, -2, 1, -14, -10, 4, 14],\n [-1, 1, -4, 4, 4, 14, -13]]\nRound to the nearest integer, then take the resu... | 132 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[16, -10, 0, 13, -4, 10, 6],\n [-10, -16, -2, -10, 15, -12, 3],\n [0, -2, 17, 6, 12, -8, -2],\n [13, -10, 6, -14, 5, 0, 3],\n [-4, 15, 12, 5, -1, -2, -2],\n [10, -12, -8, 0, -2, -1, -8],\n [6, 3, -2, 3, -2, -8, -9]]? Round to the nearest integer, then expre... | 970 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[4, -4, 16, 0, -6, 0, 0],\n [-4, 11, -10, 6, 0, -2, 4],\n [16, -10, -2, -3, -6, 11, -14],\n [0, 6, -3, -9, 10, -3, -12],\n [-6, 0, -6, 10, -9, 11, -6],\n [0, -2, 11, -3, 11, -12, -3],\n [0, 4, -14, -12, -6, -3, -13]]? Round to the nearest integer, then expr... | 116 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-6, 2, -2, -10, 4, 10, 3],\n [2, -12, -14, 7, 0, -4, -9],\n [-2, -14, 7, 4, 9, 4, -15],\n [-10, 7, 4, -11, -2, 9, -3],\n [4, 0, 9, -2, 13, -1, 0],\n [10, -4, 4, 9, -1, -5, 12],\n [3, -9, -15... | 655 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-14, -3, 1, 9, -8, 0, -3],\n [-3, 13, 8, 8, 11, 0, 6],\n [1, 8, 12, 0, 10, -12, -6],\n [9, 8, 0, 4, 0, -10, -2],\n [-8, 11, 10, 0, 4, 16, 4],\n [0, 0, -12, -10, 16, 15, 0],\n [-3, 6, -6, -2,... | 480 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[15, 12, -12, -16, -4, 0, -9],\n [0, 2, -8, -11, -16, 0, -9],\n [0, 0, 8, 0, -1, 1, -11],\n [0, 0, 0, -4, 3, 8, -15],\n [0, 0, 0, 0, -12, -15, -10],\n [0, 0, 0, 0, 0, -12, 0],\n [0, 0, 0, 0, 0, 0, 2]]\nRound to the nearest integer, then give your answer as... | 520 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[11, 13, 16, 5, 16, 6, 6],\n [6, -8, -2, -7, 12, -10, 8],\n [7, 17, 16, -2, -16, 2, 8],\n [-15, 5, -14, -3, 6, 6, 16],\n [1, -6, 18, -2, 11, 3, -2],\n [9, -6, 18, -12, 15, -9, -8],\n [-14, 9, 3, 0, 12, 13, 9]]\nRound to the nearest integer, then take the result mod... | 344 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[17, 11, -5, -4, -10, 5, -7],\n [-15, 13, -6, -7, 17, 9, -9],\n [-14, 15, -6, -11, 18, -6, 0],\n [-11, 15, -14, -5, -7, -16, 2],\n [16, 6, 7, -5, -1, 15, -1],\n [-2, -15, -18, 12, 1, -11, -6]... | 772 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[2, -5, 12, 8, -8, 15, -6],\n [0, 1, -14, 1, 11, 11, -11],\n [0, 0, -1, 15, -15, -2, -11],\n [0, 0, 0, 6, 12, -5, 8],\n [0, 0, 0, 0, -18, 3, -12],\n [0, 0, 0, 0, 0, -13, 1],\n [0, 0, 0, 0, 0,... | 656 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[15, 16, -14, 9, 7, 7, -12],\n [0, -5, -4, 12, -4, -8, -12],\n [-11, -17, 0, -9, 8, 17, 0],\n [0, -10, -8, 17, 1, 13, -12],\n [-17, 18, -10, -10, -17, -2, 6],\n [17, 4, -1, 14, -17, 3, ... | 804 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-18, -7, -14, -12, -5, -15, 3],\n [-8, 9, 7, -8, -12, -2, 3],\n [7, -8, 18, 7, 17, -6, 9],\n [5, 11, 9, 8, 13, 2, -9],\n [14, -16, -6, 3, 11, 18, 18],\n [16, -14, -14, -18, -15, -11, -6],\n ... | 866 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-8, -1, -3, -12, 11, 12, -17],\n [0, 5, 16, 2, 16, 9, 0],\n [0, 0, 11, -11, 15, -2, -4],\n [0, 0, 0, -14, 18, 16, 12],\n [0, 0, 0, 0, 10, -17, -17],\n [0, 0, 0, 0, 0, 2, -12],\n [0, 0,... | 600 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-1, 6, 8, 13, 9, 3, -16],\n [5, -17, 14, 14, -11, -4, 11],\n [1, -10, -13, -10, -9, 10, -13],\n [-5, 4, -15, 1, 2, -12, 17],\n [17, 6, -11, 0, -15, -11, 5],\n [17, 2, -11, 1, 5, -3, -7... | 22 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[16, 11, -2, -5, -15, 8, -8],\n [11, 17, 2, 12, 3, 2, 16],\n [-2, 2, -5, 4, -7, 2, -6],\n [-5, 12, 4, 4, 18, -2, -2],\n [-15, 3, -7, 18, -14, -2, 4],\n [8, 2, 2, -2, -2, 16, -2],\n [-8, 16, -... | 704 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[12, 8, 15, 14, -14, 16, -14],\n [0, -3, -9, 18, -15, 14, 18],\n [0, 0, -9, -10, 2, 16, -6],\n [0, 0, 0, 1, -15, 18, -8],\n [0, 0, 0, 0, 12, 2, 13],\n [0, 0, 0, 0, 0, 2, 3],\n [0, 0, 0,... | 552 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[17, -14, -4, -2, -12, -6, -4],\n [-14, 16, 4, -4, -8, -12, -12],\n [-4, 4, 14, 8, 11, -12, 9],\n [-2, -4, 8, 15, -2, -10, 18],\n [-12, -8, 11, -2, -15, -10, -4],\n [-6, -12, -12, -10, -10, 7, 4],\n [-4, -12, 9, 18, -4, 4, 17]]\nRound to the nearest integer, then t... | 224 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[2, -4, 0, 6, 4, 2, -6],\n [-4, 6, -12, 6, 3, 10, -2],\n [0, -12, 5, 10, -12, 1, 0],\n [6, 6, 10, 1, -4, -1, -14],\n [4, 3, -12, -4, -5, 12, -6],\n [2, 10, 1, -1, 12, 13, 4],\n [-6, -2,... | 834 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-6, 17, 2, 8, 14, -15, -3],\n [0, -2, -3, -9, -13, -13, -12],\n [0, 0, 3, 18, 18, 17, 15],\n [0, 0, 0, 13, 16, 9, -15],\n [0, 0, 0, 0, 4, 15, 17],\n [0, 0, 0, 0, 0, -11, 17],\n [0, 0, 0, 0, 0, 0, -1]]\nRound to the nearest integer, then give your answer a... | 592 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, -6, 13, 6, 3, 5, 18],\n [0, 12, -2, -10, -14, 1, 10],\n [0, 0, 4, 6, -5, 0, 12],\n [0, 0, 0, -15, -18, 1, 10],\n [0, 0, 0, 0, -9, 3, -14],\n [0, 0, 0, 0, 0, -13, 4],\n [0, 0, 0, 0, 0, 0, ... | 760 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, -16, 1, 13, 12, 6, -15],\n [-5, 7, 12, 9, -14, -16, -15],\n [5, 0, 11, -7, 0, -11, 4],\n [14, -13, -17, -4, 9, 2, -17],\n [12, 3, -3, 14, 2, -7, -10],\n [15, 18, 0, 11, -12, -7, -18],\n [14, -6, 8, 11, -6, 1, 1]]\nRound to the nearest integer, then take the res... | 465 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[8, 9, 10, 11, -10, 12, -8],\n [8, 11, 7, 16, 1, 18, 2],\n [2, -2, -3, 6, -4, -14, 5],\n [-15, -3, 12, -1, -16, 18, 2],\n [15, 1, 13, 2, 15, 1, -1],\n [-17, 5, -5, -4, -9, 4, 5],\n [-6, 6, 5, -4, 10, 7, -13]]\nRound to the nearest integer, then give your a... | 970 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[13, -6, 5, -11, 0, -1, -6],\n [5, 11, 15, 4, 11, -11, -6],\n [15, 4, -13, 3, 17, 9, -15],\n [-5, -15, 2, 8, 16, -7, -1],\n [5, -3, 2, 12, 14, 5, 7],\n [0, -8, 6, -1, 18, -16, -10],\n [-13, -4, 3, 5, -15, -12, -4]]\nRound to the nearest integer, then take the resul... | 232 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-1, 8, -1, 3, -8, 11, 13],\n [0, 12, -10, 15, 8, -4, 2],\n [0, 0, -10, -13, -16, -6, 10],\n [0, 0, 0, -3, 5, 11, 17],\n [0, 0, 0, 0, 7, -3, 12],\n [0, 0, 0, 0, 0, -5, 0],\n [0, 0, 0, 0, 0, 0, -4]]? Round to the nearest integer, then express your answer mod... | 600 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[15, 0, 0, -14, 4, 0, 15],\n [0, -2, 6, 2, 0, -5, 3],\n [0, 6, 14, -9, 2, -10, 14],\n [-14, 2, -9, 17, 4, -12, -1],\n [4, 0, 2, 4, 11, -6, 8],\n [0, -5, -10, -12, -6, 8, 11],\n [15, 3, ... | 211 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-5, 6, 0, 9, -1, 18, -4],\n [5, 8, -18, -1, 13, 16, -11],\n [16, 6, 13, 10, 0, -8, 6],\n [14, -16, -12, -18, -16, -12, -14],\n [11, -4, -13, -3, 17, -8, 10],\n [12, -4, 4, 1, -16, 0, 3],\n [10, 18, -4, -13, 17, 9, 5]]\nRound to the nearest integer, then g... | 328 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-1, 14, -10, -8, 17, 13, -13],\n [0, -4, 15, 17, 15, -15, 15],\n [0, 0, -10, -11, -12, -5, 1],\n [0, 0, 0, -5, 2, 10, 14],\n [0, 0, 0, 0, -10, -17, -1],\n [0, 0, 0, 0, 0, 4, -8],\n [0,... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-5, -12, 12, -11, -10, -11, -14],\n [-3, -16, 8, 0, 2, 17, 16],\n [-1, -11, 10, 18, -3, -17, 12],\n [-13, -11, -4, 17, 9, -5, 2],\n [0, -5, -1, 5, 18, -6, 10],\n [-5, 15, -13, 6, -12, -9, -7],\n [18, 18, 12, 15, 18, 18, -6]]\nRound to the nearest integer, then tak... | 476 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-7, 5, 17, 0, -14, -13, -9],\n [0, 12, -4, -4, 8, -10, -5],\n [0, 0, 7, -4, -5, -6, 6],\n [0, 0, 0, 16, 15, 5, 13],\n [0, 0, 0, 0, 1, -4, -6],\n [0, 0, 0, 0, 0, 6, -10],\n [0, 0, 0, 0, 0, 0, -7]]\nRound to the nearest integer, then give your answer as det... | 136 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[15, 6, -16, 4, -2, 2, 18],\n [-5, -14, 17, 7, -9, 16, 14],\n [4, 3, 6, 3, 15, -3, 11],\n [3, -1, -10, -15, -14, -5, 7],\n [10, -18, -4, 5, -10, 2, 4],\n [3, -2, 13, 7, -13, -8, 15],\n [-13, 14, 2, 15, -3, -8, -9]]\nRound to the nearest integer, then give ... | 440 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[12, -10, 6, 12, 11, 2, -5],\n [6, -3, -17, 16, 9, 9, 10],\n [3, 17, -12, -6, 10, 8, 1],\n [-5, -16, -15, 0, -1, -2, 2],\n [-4, 18, 14, -18, -9, -9, 1],\n [3, -18, 18, -10, 16, -18, 4],\n [-15, 2, 15, 18, -5, -2, -3]]\nRound to the nearest integer, then take the re... | 274 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[5, -16, 2, 8, 12, -16, -5],\n [0, -15, -5, -13, 16, 17, 3],\n [0, 0, -15, 8, -18, 10, 9],\n [0, 0, 0, -3, 1, 1, -15],\n [0, 0, 0, 0, -1, 11, 1],\n [0, 0, 0, 0, 0, -2, 4],\n [0, 0, 0, 0, 0, 0, -7]]? Round to the nearest integer, then express your answer mod... | 250 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-5, -1, 15, -3, 9, 13, 0],\n [0, 8, 14, -13, 3, -9, 0],\n [0, 0, 1, 14, 17, 8, -14],\n [0, 0, 0, 17, 3, 8, -8],\n [0, 0, 0, 0, -4, 7, -6],\n [0, 0, 0, 0, 0, -3, -10],\n [0, 0, 0, 0, 0, 0, -10]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPr... | 600 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[7, 1, 5, -3, 17, 3, -16],\n [-3, -8, -3, 5, -14, 4, 11],\n [-1, 1, -18, 13, 12, 1, -4],\n [-16, 16, 8, -6, 8, -18, -15],\n [-10, 0, -11, 8, -15, 12, 15],\n [-5, 13, 4, 16, 10, 15, 0],\n [2, -2, -11, 15, -4, 12, -14]]\nRound to the nearest integer, then gi... | 508 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-6, 1, 15, -13, 17, 1, 1],\n [0, 7, 14, -14, -8, -16, -8],\n [0, 0, -2, -2, -8, -2, 1],\n [0, 0, 0, -11, -13, 3, -14],\n [0, 0, 0, 0, 6, 5, -8],\n [0, 0, 0, 0, 0, -14, 15],\n [0, 0, 0, 0, 0, 0, 16]]\nRound to the nearest integer, then take the result modulo 1000.\... | 856 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[12, -15, 0, -6, -2, -5, -13],\n [13, -13, 5, -7, 12, 6, -15],\n [-7, 3, -4, 7, 12, -1, 12],\n [-9, 3, 7, 7, 5, 8, -1],\n [-4, -15, -16, 2, -14, 12, -10],\n [7, -5, -15, -9, -16, 2, 4],\n [1, 16, -4, -10, -11, 2, 6]]? Round to the nearest integer, then expr... | 983 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-2, 10, 0, 5, 14, -10, 4],\n [10, 4, 2, 12, 15, -6, -6],\n [0, 2, -10, 5, -14, -10, -4],\n [5, 12, 5, 18, -15, -2, -12],\n [14, 15, -14, -15, 18, -3, 5],\n [-10, -6, -10, -2, -3, -15, -6],\n... | 128 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[5, 8, 0, 8, 13, 2, 17],\n [8, 16, 6, -3, 4, 4, 0],\n [0, 6, 13, -4, -10, -16, 0],\n [8, -3, -4, -13, 8, -12, 15],\n [13, 4, -10, 8, -3, 10, 7],\n [2, 4, -16, -12, 10, 17, 5],\n [17, 0, 0, 15, 7, 5, -3]]\nRound to the nearest integer, then take the result modulo 10... | 224 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[13, 6, 11, 9, -9, 3, 5],\n [0, 10, 0, 0, 5, 4, -5],\n [0, 0, -17, -17, -15, -18, -14],\n [0, 0, 0, 9, 16, 2, 9],\n [0, 0, 0, 0, -11, 12, -17],\n [0, 0, 0, 0, 0, 11, -9],\n [0, 0, 0, 0, 0, 0, 10]]? Round to the nearest integer, then express your answer modu... | 900 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-2, -4, 12, 6, 18, 2, 9],\n [0, 14, 3, -14, -3, -4, -9],\n [0, 0, -7, -18, -10, 15, 9],\n [0, 0, 0, -2, 14, 6, 16],\n [0, 0, 0, 0, -10, -9, -15],\n [0, 0, 0, 0, 0, -16, 14],\n [0, 0, 0... | 280 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[17, -2, -12, 9, -2, 0, 2],\n [-2, 2, -7, 13, -5, -2, 10],\n [-12, -7, -15, 2, 6, -16, 14],\n [9, 13, 2, 11, 10, 4, 2],\n [-2, -5, 6, 10, 15, 0, -10],\n [0, -2, -16, 4, 0, -11, 2],\n [2... | 111 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[12, -9, 13, 10, -14, 1, -2],\n [0, -3, 4, 14, -14, 12, -16],\n [0, 0, -5, -14, -9, -11, -17],\n [0, 0, 0, 12, -9, -14, 10],\n [0, 0, 0, 0, 2, -11, 4],\n [0, 0, 0, 0, 0, -3, 18],\n [0, 0, 0, 0, 0, 0, -18]]\nRound to the nearest integer, then give your answ... | 280 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-6, -2, -14, 13, -11, -6, 14],\n [0, -2, -6, 9, 4, -10, -14],\n [0, 0, -11, 12, 12, 9, -10],\n [0, 0, 0, 7, -2, -13, -11],\n [0, 0, 0, 0, 5, 16, -14],\n [0, 0, 0, 0, 0, 11, -9],\n [0, 0, 0, 0, 0, 0, -2]]\nRound to the nearest integer, then take the result modulo 1... | 640 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[10, 14, 10, 1, 10, 11, 14],\n [0, -5, 1, -10, 16, 9, 6],\n [0, 0, 1, 14, 13, -4, -16],\n [0, 0, 0, -3, -18, 11, 14],\n [0, 0, 0, 0, -8, 4, 3],\n [0, 0, 0, 0, 0, -11, 14],\n [0, 0, 0, 0, 0, 0, 3]]\nRound to the nearest integer, then give your answer as det... | 600 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[5, -8, -11, 14, 1, 6, -2],\n [-8, 8, -16, 2, -4, 4, 4],\n [-11, -16, -18, 10, 3, 0, 14],\n [14, 2, 10, 1, -6, 8, -10],\n [1, -4, 3, -6, 18, -6, -12],\n [6, 4, 0, 8, -6, -8, -2],\n [-2, 4, 14, -10, -12, -2, 5]]? Round to the nearest integer, then express yo... | 328 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-17, 14, 0, -6, -16, -12, 7],\n [14, -4, 10, -12, -2, -1, -4],\n [0, 10, -17, -3, -8, 2, 6],\n [-6, -12, -3, -18, 0, 4, -2],\n [-16, -2, -8, 0, 15, 2, 4],\n [-12, -1, 2, 4, 2, 2, -5],\n [7, -4, 6, -2, 4, -5, -15]]\nRound to the nearest integer, then give ... | 238 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[11, 6, 2, -12, 6, -8, -2],\n [6, -7, 8, 17, 7, 1, 6],\n [2, 8, -11, 4, 8, 0, -4],\n [-12, 17, 4, -11, 3, 1, -12],\n [6, 7, 8, 3, -8, 0, 5],\n [-8, 1, 0, 1, 0, -15, 6],\n [-2, 6, -4, -12, 5, 6, -13]]\nRound to the nearest integer, then take the result modulo 1000.\... | 92 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-11, 6, 2, 5, 15, 18, 15],\n [-1, 14, -18, -8, -11, 14, 5],\n [-6, -3, -8, -4, -6, 14, -2],\n [-15, 5, 10, -15, -4, 4, -3],\n [-1, 0, 5, -18, 18, -12, 6],\n [-11, -5, 3, 15, 6, -9, 7],\n [7,... | 3 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-3, 2, -14, 8, 8, -16, 3],\n [2, -18, -10, -8, -1, -1, -8],\n [-14, -10, -18, 8, 0, 4, -3],\n [8, -8, 8, -2, 2, 8, -4],\n [8, -1, 0, 2, -10, -2, 9],\n [-16, -1, 4, 8, -2, 16, 2],\n [3, -8, -3, -4, 9, 2, 1]]? Round to the nearest integer, then express your ... | 116 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-11, -2, 10, -6, 11, 9, 4],\n [-10, 0, 10, 8, -8, -8, -5],\n [3, 0, 1, 8, 8, -2, -15],\n [-8, 6, -10, -6, -1, 2, -4],\n [15, 10, 16, -9, -12, 17, -4],\n [8, 7, -16, -16, 8, -13, -17],\n [-9, 8, -16, -9, -13, 1, -11]]? Round to the nearest integer, then exp... | 396 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-17, 14, 10, -13, -12, 13, -15],\n [0, -10, -16, -4, -15, 13, -14],\n [0, 0, -2, -1, 15, -11, 3],\n [0, 0, 0, 9, 6, 16, -13],\n [0, 0, 0, 0, 3, 15, 0],\n [0, 0, 0, 0, 0, -10, 3],\n [0, 0, 0, 0, 0, 0, -14]]\nRound to the nearest integer, then give your ans... | 800 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-1, -4, -9, 9, -8, -3, 14],\n [0, 13, -3, -2, 11, 0, -16],\n [0, 0, -12, -3, 14, 3, -7],\n [0, 0, 0, 6, -12, -5, 8],\n [0, 0, 0, 0, 12, 9, -15],\n [0, 0, 0, 0, 0, -12, 7],\n [0, 0, 0, 0, 0, 0, 1]]? Round to the nearest integer, then express your answer mod... | 216 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-3, 4, -2, -1, -3, -4, 12],\n [4, -2, -8, -6, -8, 0, 4],\n [-2, -8, 3, 6, -2, -8, 16],\n [-1, -6, 6, 3, 6, 2, -2],\n [-3, -8, -2, 6, 9, 0, 0],\n [-4, 0, -8, 2, 0, -17, -16],\n [12, 4, 16, -2... | 498 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[1, -2, 2, 8, -7, 9, 6],\n [-2, -3, -12, 0, -7, -12, -10],\n [2, -12, -9, 3, -12, 18, 8],\n [8, 0, 3, 0, -4, 0, 6],\n [-7, -7, -12, -4, 8, 6, 8],\n [9, -12, 18, 0, 6, -3, -2],\n [6, -10, 8, 6, 8, -2, 4]]\nRound to the nearest integer, then take the result modulo 10... | 224 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-9, 15, -11, -7, 6, 10, 11],\n [16, -16, -12, -17, -3, 10, -2],\n [1, -7, -14, -12, -2, 14, 11],\n [-15, -15, -17, 8, 18, 7, 5],\n [16, 3, 2, 4, -18, -2, 18],\n [18, -2, 12, 18, 11, -13, 10],\n [4, -10, 12, -7, -8, 18, 3]]? Round to the nearest integer, th... | 114 | MATH |
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