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[[9, 17, -4, 6, 15, 12, 9],\n [0, 11, 9, -9, 9, 1, -1],\n [0, 0, -2, 11, 5, 0, -13],\n [0, 0, 0, 3, 1, -7, 18],\n [0, 0, 0, 0, -6, -2, 18],\n [0, 0, 0, 0, 0, 5, 8],\n [0, 0, 0, 0, 0, 0, -5]]\nRound to the nearest integer, then give your answer as det(A) mod... | 900 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[5, 9, -14, 15, 4, -9, 8],\n [-16, -5, 6, 13, 2, 3, 2],\n [4, -9, 13, -17, 0, -15, -10],\n [-13, -7, 6, 13, 17, -9, -2],\n [-9, 5, -11, -4, 14, 4, -1],\n [18, 16, 7, 14, 10, -4, -16],\n [18, -8, -6, 7, -13, -14, -16]]\nRound to the nearest integer, then take the re... | 790 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-12, 14, -8, -2, 9, 5, -10],\n [0, 6, -7, 0, 14, 9, 3],\n [0, 0, 2, -5, 4, -17, 11],\n [0, 0, 0, 11, -9, 10, -15],\n [0, 0, 0, 0, -15, 5, -8],\n [0, 0, 0, 0, 0, -17, 13],\n [0, 0, 0, 0... | 360 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[7, -17, -8, -13, -3, 7, 6],\n [0, 2, 12, 12, -14, -7, 4],\n [0, 0, 9, 4, -10, -14, 3],\n [0, 0, 0, 2, 11, 7, 6],\n [0, 0, 0, 0, -8, -3, -16],\n [0, 0, 0, 0, 0, 1, 7],\n [0, 0, 0, 0, 0, 0, -6]]? Round to the nearest integer, then express your answer modulo ... | 96 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-18, 16, 3, -5, -4, 13, -5],\n [-7, -2, -13, -17, -13, -12, 17],\n [16, -2, 8, 12, -12, -3, 5],\n [-5, -3, -4, -11, -9, 1, -3],\n [-14, -13, -11, 8, -15, -5, 8],\n [2, 5, -6, -15, 18, ... | 741 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-2, 7, 6, -10, -9, -6, -10],\n [6, -18, -18, -3, 14, 16, -14],\n [-17, -5, -17, 2, 7, -3, -5],\n [18, 9, -18, -4, 1, -3, 3],\n [14, 9, -13, 7, 14, 2, -1],\n [-6, 6, -2, 5, 16, -18, 13],\n [-4, 12, 14, -14, 4, 12, 1]]\nRound to the nearest integer, then gi... | 308 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-4, 0, 16, -6, 6, -14, 4],\n [-1, -9, -4, 11, 3, 0, 3],\n [-1, 8, -10, -11, 6, -3, -2],\n [5, -6, 7, 16, -8, 8, -16],\n [-4, 11, -13, 13, 1, 13, -11],\n [-10, 16, -9, -5, -11, -5, 8],\n [0, 12, -13, -14, 7, 2, -16]]? Round to the nearest integer, then expr... | 788 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[12, -14, 14, -12, 9, -10, -17],\n [3, -12, 8, 1, 16, -1, -2],\n [7, 1, 18, -16, -17, 1, -2],\n [-12, 2, -15, 8, 6, -11, -2],\n [4, 5, -10, -7, 8, -16, 4],\n [-9, 8, -18, -9, -8, 6, -12],\n [0, 9, 1, -17, 11, 13, -11]]? Round to the nearest integer, then ex... | 954 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-7, 11, -4, 2, 16, 14, 3],\n [11, -8, -10, -4, 0, 7, -7],\n [-4, -10, 5, 16, 4, 10, 2],\n [2, -4, 16, 14, 8, 4, 10],\n [16, 0, 4, 8, -7, -5, 7],\n [14, 7, 10, 4, -5, -9, -12],\n [3, -7... | 766 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-8, 12, -12, 6, -1, -7, 7],\n [12, 3, 8, -1, 11, -8, 7],\n [-12, 8, 7, 0, 2, -1, 6],\n [6, -1, 0, 5, -5, 1, -2],\n [-1, 11, 2, -5, -2, -1, -10],\n [-7, -8, -1, 1, -1, -10, -4],\n [7, 7, 6, -2, -10, -4, 8]]\nRound to the nearest integer, then give your ans... | 618 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[13, 2, -6, 3, -12, -6, -1],\n [2, 14, -10, 1, 8, -2, -4],\n [-6, -10, 6, -3, -2, -12, 2],\n [3, 1, -3, -11, 10, 8, -8],\n [-12, 8, -2, 10, -1, -8, -2],\n [-6, -2, -12, 8, -8, -9, -6],\n [-1, -4, 2, -8, -2, -6, 2]]? Round to the nearest integer, then expres... | 876 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[10, 1, 12, 18, -16, -3, 7],\n [-12, -13, 16, -16, 5, -11, -16],\n [2, -4, 0, 0, 17, -6, 4],\n [-13, 0, 11, 4, -1, 7, 10],\n [8, 12, 2, 18, 16, 10, -15],\n [13, -9, 12, 4, -11, 12, 16],\n [17, -16, -10, -14, -4, -7, -9]]\nRound to the nearest integer, then... | 528 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-14, 17, 12, -2, 9, 9, -14],\n [9, -5, 15, -2, -9, 8, 15],\n [3, 7, 13, 11, -18, -10, -8],\n [-10, -5, 4, -12, -14, 17, -5],\n [-13, -17, -8, 6, -3, 18, 12],\n [8, -8, -18, -8, 9, -6, -13],\n [-18, 5, 0, 8, -17, 15, 8]]\nRound to the nearest integer, then take the... | 228 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, -1, 12, -2, 0, -2, -6],\n [-1, -6, 0, -4, 10, 10, 8],\n [12, 0, -3, -1, -4, -8, -12],\n [-2, -4, -1, 15, -8, -14, 0],\n [0, 10, -4, -8, -9, 0, -2],\n [-2, 10, -8, -14, 0, -11, -1],\... | 598 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[4, 0, -3, -4, 2, -6, -8],\n [0, 12, -6, 11, 3, 16, -2],\n [-3, -6, 15, 1, -16, -9, 4],\n [-4, 11, 1, 1, 12, 6, 8],\n [2, 3, -16, 12, 15, 0, -7],\n [-6, 16, -9, 6, 0, -11, -4],\n [-8, -2, 4, 8, -7, -4, 11]]\nRound to the nearest integer, then give your ans... | 907 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[1, -10, 5, -6, 8, -4, -7],\n [-10, -6, -6, 14, 4, -5, 1],\n [5, -6, -15, -8, -8, 8, -7],\n [-6, 14, -8, -16, -8, -14, -12],\n [8, 4, -8, -8, 7, -8, 2],\n [-4, -5, 8, -14, -8, 6, 6],\n [-7, 1, -7, -12, 2, 6, 3]]? Round to the nearest integer, then express y... | 432 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[0, -1, 4, 12, -2, -2, -1],\n [-1, 8, 2, 2, 0, -6, 0],\n [4, 2, -11, 2, 5, 14, 0],\n [12, 2, 2, 0, -11, -2, 13],\n [-2, 0, 5, -11, -11, 2, -1],\n [-2, -6, 14, -2, 2, -9, -16],\n [-1, 0, 0, 13, -1, -16, 2]]? Round to the nearest integer, then express your an... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-5, 2, -7, 7, 0, -16, -12],\n [0, -1, 10, 8, -1, 0, 13],\n [0, 0, 9, 17, -16, -12, 12],\n [0, 0, 0, -9, -8, -11, -9],\n [0, 0, 0, 0, -6, -15, 1],\n [0, 0, 0, 0, 0, -4, -16],\n [0, 0, 0, 0, 0, 0, 14]]\nRound to the nearest integer, then give your answer as... | 920 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[4, -13, -6, -2, -10, -6, -4],\n [-13, -7, -13, -2, -14, 0, 0],\n [-6, -13, 14, -13, -8, -6, 8],\n [-2, -2, -13, -16, 6, 6, -2],\n [-10, -14, -8, 6, 8, 0, 12],\n [-6, 0, -6, 6, 0, 11, -... | 592 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-8, 14, 3, 15, -6, 15, -6],\n [-4, -10, 10, 6, -12, -8, 16],\n [-2, -18, 4, -8, 5, 16, 12],\n [-7, 17, 14, 6, 15, 9, 18],\n [-14, -13, -4, -3, 13, 17, -10],\n [-7, -15, 17, 15, 4, 1, -2],\n [-14, 10, -8, 6, -2, -14, -16]]\nRound to the nearest integer, th... | 224 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[16, -5, -15, 9, 6, -10, -1],\n [17, 10, 5, 15, -13, 15, 14],\n [8, -13, 16, 7, 11, -13, -6],\n [-4, 13, 18, 15, -2, 10, 7],\n [-9, 6, -1, 6, -17, 3, 13],\n [-11, -9, 11, -2, -13, 3, -5],\n [-9, 1, 12, 1, 5, -5, -16]]\nRound to the nearest integer, then take the re... | 312 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-6, 8, 3, 1, 14, -10, 14],\n [3, 2, -6, -10, 13, -9, 1],\n [-5, -6, -3, -8, -2, 0, -1],\n [1, 2, -7, 0, -12, -3, -1],\n [16, 0, -2, 9, 3, -8, 13],\n [9, 13, -13, 5, 0, 9, -13],\n [13, 14, 10, -3, -3, 3, 12]]? Round to the nearest integer, then express your... | 213 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-10, 6, 4, 2, -2, -13, 12],\n [6, -9, 5, -2, 2, -14, -13],\n [4, 5, 14, 2, 6, 1, 7],\n [2, -2, 2, -2, 1, 0, 16],\n [-2, 2, 6, 1, 4, 2, -13],\n [-13, -14, 1, 0, 2, 4, 1],\n [12, -13, 7, 16, -13, 1, -2]]\nRound to the nearest integer, then give your answer ... | 969 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-4, -11, -10, 11, -9, -7, 8],\n [-15, -8, -5, 3, 3, 5, -12],\n [7, 9, -14, 0, -9, 10, -15],\n [-9, 4, 9, -13, 6, 3, 5],\n [-18, 9, -7, 10, -2, -2, 17],\n [4, -10, -4, -11, 16, 6, -5],\n [-4, -2, 11, 2, 10, 3, 7]]\nRound to the nearest integer, then give y... | 530 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-6, -14, -1, -6, -6, 6, -8],\n [5, -15, 0, 0, 2, -12, -11],\n [-7, 17, 12, -11, 4, -3, 3],\n [-15, 9, 6, 4, 4, 6, -3],\n [-8, 18, 6, -8, 6, -16, -14],\n [-17, 8, -10, 10, -6, -15, 11],\n [-18, -8, -14, -15, -11, 18, -16]]\nRound to the nearest integer, then take t... | 296 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-13, 0, 15, -4, -8, 12, 1],\n [12, 18, -2, -2, -6, 0, 5],\n [-15, -1, 14, 14, 7, -18, -9],\n [5, 18, 1, -15, 5, 13, -18],\n [14, -15, 17, 11, -6, -6, 5],\n [16, 10, 4, 18, 5, -7, -8],\... | 824 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[8, 5, 0, 0, 8, -14, -4],\n [5, -6, -9, 0, 0, 2, -4],\n [0, -9, -8, 3, -12, -12, 9],\n [0, 0, 3, 8, -9, 3, -15],\n [8, 0, -12, -9, -14, -1, 10],\n [-14, 2, -12, 3, -1, -1, -7],\n [-4, -4, 9, -15, 10, -7, 12]]? Round to the nearest integer, then express your... | 159 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[18, -16, 17, 0, -13, -18, 9],\n [0, -1, 1, -9, -5, -18, 14],\n [0, 0, 4, -7, 17, 17, 7],\n [0, 0, 0, 15, -10, 17, 14],\n [0, 0, 0, 0, 7, 2, -3],\n [0, 0, 0, 0, 0, 12, 11],\n [0, 0, 0, ... | 720 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[18, 14, 2, -2, 0, 9, -2],\n [14, 16, 9, 10, 2, 0, 2],\n [2, 9, -5, -1, -8, -5, 2],\n [-2, 10, -1, -3, 2, 6, 0],\n [0, 2, -8, 2, 9, 9, 3],\n [9, 0, -5, 6, 9, 8, -2],\n [-2, 2, 2, 0, 3, -2, 0]... | 427 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-13, -17, -9, -9, -5, -9, 18],\n [-15, 7, 13, -5, 3, -11, 10],\n [-13, -8, -2, 8, -5, -4, 15],\n [-18, 16, 13, 3, 16, 2, -3],\n [1, -13, -10, -4, -17, 9, 13],\n [-2, -2, 12, -10, 11, 15, -11],\n [-17, 16, -9, -13, -5, -14, -16]]? Round to the nearest integ... | 688 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[10, 9, -11, 8, -10, 11, -3],\n [9, -11, -12, 8, 7, 2, 8],\n [-11, -12, -15, -6, 11, 6, -12],\n [8, 8, -6, 14, 0, 0, -2],\n [-10, 7, 11, 0, -12, 12, -5],\n [11, 2, 6, 0, 12, 15, -10],\n [-3, ... | 470 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[11, 6, -1, -6, 2, -8, -1],\n [6, 14, -6, 12, -8, -4, 6],\n [-1, -6, -9, -4, 6, -8, 12],\n [-6, 12, -4, -4, -6, -5, 7],\n [2, -8, 6, -6, 14, -8, -4],\n [-8, -4, -8, -5, -8, -8, -10],\n [-1, 6... | 796 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-2, -4, 4, 3, 4, 14, -2],\n [-4, 8, 16, -6, -12, 0, 6],\n [4, 16, -4, 13, -10, 14, 2],\n [3, -6, 13, -7, -10, 0, 2],\n [4, -12, -10, -10, 8, -2, -7],\n [14, 0, 14, 0, -2, -14, -2],\n [-2, 6, 2, 2, -7, -2, -6]]\nRound to the nearest integer, then give your... | 608 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[6, 6, 2, -2, -16, 6, 4],\n [6, 1, -2, -14, -1, 6, 4],\n [2, -2, -8, 4, -14, -4, -6],\n [-2, -14, 4, -6, -16, 6, 12],\n [-16, -1, -14, -16, -3, -4, 10],\n [6, 6, -4, 6, -4, 7, -8],\n [4... | 80 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[12, 15, -17, 0, -9, -2, 16],\n [15, -6, 8, 12, -4, -10, 6],\n [-17, 8, 4, 4, -4, 5, 0],\n [0, 12, 4, -6, 2, -6, 6],\n [-9, -4, -4, 2, -17, -3, 4],\n [-2, -10, 5, -6, -3, -14, 10],\n [16, 6, ... | 400 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, 1, -10, 4, 9, 0, -1],\n [1, 16, -8, 4, 2, -14, 10],\n [-10, -8, 9, -1, 4, 2, -2],\n [4, 4, -1, 0, 13, 4, 8],\n [9, 2, 4, 13, 3, -12, 2],\n [0, -14, 2, 4, -12, 0, -10],\n [-1, 10, -2... | 168 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-15, -11, -10, 9, 17, 13, 12],\n [-18, 0, 13, -3, -8, 1, 1],\n [-14, 14, -1, 13, 16, 16, -11],\n [-15, -1, 0, -18, 0, 17, 6],\n [-9, 4, 9, -17, 1, 17, 1],\n [14, -10, 1, -6, 3, 9, -14],\n [2, 4, -5, 1, 8, 0, 12]]\nRound to the nearest integer, then take the result... | 244 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-13, 1, -16, -6, -3, -9, 9],\n [6, 0, 14, -18, 7, -15, -3],\n [-11, 1, 12, -11, -16, 13, 0],\n [16, 9, 15, 7, 10, -8, -1],\n [10, -7, -4, 14, 12, 16, -12],\n [12, -4, 2, 10, 2, -2, -6],\n [-14, -2, 16, -2, 10, -3, -7]]\nRound to the nearest integer, then take the ... | 494 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-18, -3, 16, 6, 5, 12, -18],\n [2, -6, -12, -11, -10, -6, -8],\n [-8, 6, 18, 6, 5, 5, -9],\n [-15, 9, -7, 18, 11, 14, 16],\n [-13, -5, 12, 11, 9, -10, 17],\n [5, -6, 11, 16, 4, -12, 15... | 365 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-7, 18, -7, -16, 13, 14, 17],\n [9, -1, 7, 16, -14, -15, -10],\n [-17, -13, 15, -6, -12, 7, 2],\n [-10, 11, -8, -3, -6, -12, -1],\n [11, -5, -7, 7, 18, -11, -7],\n [9, 9, -13, -7, 2, 10, 9],\n [-2, 1, 12, -4, 3, -8, -4]]\nRound to the nearest integer, then take th... | 814 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, 8, -10, 2, -7, -5, -8],\n [8, -9, 2, -8, 8, 4, -9],\n [-10, 2, 7, 8, 0, -7, -7],\n [2, -8, 8, 10, 3, 2, 0],\n [-7, 8, 0, 3, 5, -6, -10],\n [-5, 4, -7, 2, -6, -14, 14],\n [-8, -9, -... | 657 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[3, 17, -8, 0, 2, 2, -9],\n [0, -1, -12, 9, -10, -5, -13],\n [0, 0, -2, -2, -6, -11, 17],\n [0, 0, 0, -7, -3, 6, -10],\n [0, 0, 0, 0, -8, -11, -1],\n [0, 0, 0, 0, 0, 7, -18],\n [0, 0, 0, 0, 0, 0, -7]]? Round to the nearest integer, then express your answer ... | 536 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-15, -4, 10, -4, -7, 1, -10],\n [-4, 8, 0, -3, 0, 2, -4],\n [10, 0, -2, 4, 2, -4, 16],\n [-4, -3, 4, -18, 2, 7, 14],\n [-7, 0, 2, 2, 17, 6, 2],\n [1, 2, -4, 7, 6, 2, 10],\n [-10, -4, 16, 14, 2, 10, 16]]\nRound to the nearest integer, then give your answer... | 280 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-6, 3, 12, 18, 16, -12, 7],\n [17, -14, 6, -15, -7, -10, 16],\n [-11, -5, -15, -6, -18, 10, -4],\n [-2, 4, -13, 17, -10, 12, -2],\n [-13, -2, -9, 0, -10, -13, 9],\n [-9, 0, -4, 7, -9, 15, -1... | 131 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-4, -15, -8, -7, 16, -12, 15],\n [6, 15, 3, -18, -2, 18, -2],\n [-5, -16, 4, 7, -18, 16, 17],\n [-4, 8, -15, -12, 12, -5, -13],\n [17, -18, -11, 17, 17, 10, -6],\n [5, 18, 4, 12, 18, 18, 6],\n [5, -1, -6, 5, -2, 5, -6]]\nRound to the nearest integer, then take the... | 578 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[13, -18, 4, -9, -9, 1, 5],\n [-5, 15, 14, -1, 2, 13, -18],\n [1, 8, 13, 7, 9, 6, -11],\n [-18, 17, 11, 1, 5, -14, 8],\n [-15, -7, -11, 7, 6, 9, -2],\n [18, 5, 15, 0, -18, 9, -5],\n [14... | 458 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[9, 16, -8, 6, -10, 14, -5],\n [0, 5, -17, 6, -10, -6, -18],\n [0, 0, -10, 13, -3, -13, 3],\n [0, 0, 0, -2, -9, -7, -7],\n [0, 0, 0, 0, 1, -15, 11],\n [0, 0, 0, 0, 0, -18, 6],\n [0, 0, 0, 0, 0, 0, 12]]\nRound to the nearest integer, then give your answer a... | 600 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[13, 0, 18, -17, -8, 13, -6],\n [0, 18, 0, -3, -8, -16, -7],\n [0, 0, -5, -12, -10, 13, 1],\n [0, 0, 0, 5, -17, 6, 1],\n [0, 0, 0, 0, 1, -18, 12],\n [0, 0, 0, 0, 0, -3, 9],\n [0, 0, 0, 0, 0, 0, 2]]? Round to the nearest integer, then express your answer mod... | 100 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-17, -8, 11, 4, 6, 2, 8],\n [12, 13, -17, 5, -15, 13, -12],\n [-11, 16, 12, 11, 15, 15, 5],\n [16, -3, 12, -16, -6, 11, -11],\n [12, 9, 7, -6, 4, 8, 13],\n [7, -10, 14, -14, -16, -5, 2],\n [10, -2, 12, -1, 15, 14, -7]]\nRound to the nearest integer, then take the ... | 584 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-12, 7, 4, -16, 6, -9, 14],\n [-6, -17, -9, 14, 15, 3, 15],\n [-12, -12, -13, -15, -6, 12, -12],\n [14, 1, 13, 11, -3, 11, -18],\n [-9, -18, -11, 15, -11, -14, -16],\n [12, -12, 5, 18, 6, -4, 12],\n [-7, -11, -2, 1, 5, 9, -17]]\nRound to the nearest integer, then ... | 974 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[17, 18, 2, -16, -7, 16, 17],\n [-14, 8, -12, -4, -2, 5, -12],\n [-13, -15, -5, -9, -16, 4, 1],\n [-12, -4, 4, 16, -17, 6, -6],\n [2, -11, -13, 9, -4, 5, 11],\n [12, 1, 6, -6, -13, -18, 3],\n... | 956 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[3, -18, -1, -15, 6, -4, 8],\n [18, 12, 14, 5, -9, 0, 9],\n [-1, -7, 8, 10, 14, 14, -17],\n [-15, -5, -6, 13, -3, 16, 16],\n [12, 13, 3, 1, -7, 11, 4],\n [10, 17, 7, 5, 5, 16, -15],\n [-8, -12, -9, -16, -6, -12, 4]]? Round to the nearest integer, then expre... | 292 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-13, 12, 3, -16, -11, -5, 14],\n [0, 5, -3, -5, -9, 13, -9],\n [0, 0, 12, -2, -2, 0, 3],\n [0, 0, 0, 1, -9, -13, -4],\n [0, 0, 0, 0, 2, -2, 15],\n [0, 0, 0, 0, 0, -2, -3],\n [0, 0, 0, 0, 0, 0, -14]]\nRound to the nearest integer, then give your answer as ... | 320 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[14, -16, 17, -11, -4, 14, 0],\n [-16, 9, 4, -8, -16, 2, 4],\n [17, 4, -14, 4, -10, 0, -2],\n [-11, -8, 4, 4, -7, 2, 6],\n [-4, -16, -10, -7, 0, 2, -12],\n [14, 2, 0, 2, 2, -12, 14],\n [0, 4,... | 404 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[3, 10, 18, 14, -5, -16, -3],\n [-13, -6, -18, -17, -6, 17, 8],\n [14, -9, -17, 1, -9, -16, -4],\n [10, 3, -7, -6, 6, -5, 17],\n [14, -16, -11, 15, 18, 16, -18],\n [5, 14, -13, 10, 1, 7, -13],\n [7, 18, -14, -3, -1, 4, -8]]? Round to the nearest integer, th... | 278 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-9, -10, 4, -1, 16, -8, 5],\n [0, 10, 6, -9, 13, -17, -13],\n [0, 0, 2, 17, -16, -8, 7],\n [0, 0, 0, 8, -15, 12, -18],\n [0, 0, 0, 0, 8, 11, 2],\n [0, 0, 0, 0, 0, -5, 18],\n [0, 0, 0, 0, 0, 0, -4]]\nRound to the nearest integer, then give your answer as d... | 600 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[0, 11, -1, -17, 11, -13, 12],\n [14, 3, 9, 16, 13, -4, -4],\n [1, 7, -5, -5, -7, -18, 14],\n [-5, -14, -4, 17, -16, 3, 12],\n [6, 3, -4, -2, -6, -3, 18],\n [9, 12, 15, 0, 3, -1, 7],\n [-15, -8, 13, 4, -8, 13, 7]]\nRound to the nearest integer, then give y... | 561 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-2, -18, -17, -13, 0, -6, -6],\n [0, -9, -5, 4, -16, 13, 1],\n [0, 0, -17, -17, -13, 14, 16],\n [0, 0, 0, 4, -13, 4, -16],\n [0, 0, 0, 0, 16, 6, 0],\n [0, 0, 0, 0, 0, 11, 18],\n [0, 0,... | 272 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-14, 14, -13, 5, 0, -7, -10],\n [0, 2, 17, -11, 15, -16, -3],\n [0, 0, 1, 4, -1, -10, -17],\n [0, 0, 0, 6, 1, -8, -7],\n [0, 0, 0, 0, 6, -14, -17],\n [0, 0, 0, 0, 0, 9, 16],\n [0, 0, 0... | 504 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-10, -1, -5, -2, 15, 2, 6],\n [-1, -4, 1, -1, -3, 14, -6],\n [-5, 1, -6, 1, 8, -2, 1],\n [-2, -1, 1, 10, -2, -11, 6],\n [15, -3, 8, -2, -18, 1, -10],\n [2, 14, -2, -11, 1, 17, -6],\n [6, -6, 1, 6, -10, -6, -10]]? Round to the nearest integer, then express ... | 627 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-17, 16, 7, -10, -8, -9, -2],\n [-13, 8, 16, 5, 0, -18, -1],\n [-7, 11, -8, 5, -7, 10, -18],\n [12, 12, -15, 2, 10, -13, -12],\n [-7, 4, 4, 5, -9, 7, 7],\n [10, 16, 9, -2, 1, 5, 9],\n [9, 14, 0, 14, 7, -10, -11]]\nRound to the nearest integer, then give y... | 628 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[10, 4, 0, 12, -8, -12, 4],\n [4, -6, -13, 6, 0, -6, 2],\n [0, -13, 12, 14, -14, 4, -11],\n [12, 6, 14, 2, 1, -8, -14],\n [-8, 0, -14, 1, 1, -2, 2],\n [-12, -6, 4, -8, -2, -9, 14],\n [4... | 60 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-8, -6, -9, 18, 8, -15, 16],\n [0, -7, 17, -5, 1, 10, -4],\n [0, 0, 2, -12, 0, 9, -1],\n [0, 0, 0, 17, 18, -1, -17],\n [0, 0, 0, 0, -1, 11, 10],\n [0, 0, 0, 0, 0, 2, -18],\n [0, 0, 0, 0, 0, 0, 2]]? Round to the nearest integer, then express your answer mod... | 384 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[16, 11, 18, 6, -14, -14, -11],\n [-3, 12, -9, 3, -14, 17, 1],\n [7, -12, 18, -11, 2, 5, 3],\n [-15, 3, -5, 7, -17, 6, -14],\n [11, 17, 1, 11, -7, -11, -15],\n [10, 6, 14, -3, 3, 4, 9],\n [3,... | 898 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[3, -15, 7, -7, 2, 3, -14],\n [0, 17, 7, -2, -8, -13, -1],\n [0, 0, 13, 8, -12, -11, -16],\n [0, 0, 0, 3, 17, -16, -8],\n [0, 0, 0, 0, 1, -18, -14],\n [0, 0, 0, 0, 0, 17, -2],\n [0, 0, 0, 0, 0, 0, -1]]\nRound to the nearest integer, then take the result modulo 1000... | 187 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-10, 8, 4, -16, -4, -9, 5],\n [-11, -17, 10, 16, 12, -15, -10],\n [18, 8, -1, -18, -6, 8, 9],\n [-8, -9, -8, 9, -6, -6, -6],\n [16, -9, 4, -16, -16, 18, 4],\n [-4, -10, 6, 1, -14, 14, 5],\n [12, 17, -13, -13, 3, 6, 11]]\nRound to the nearest integer, then... | 53 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[11, 6, -2, 5, -5, -8, 1],\n [0, 17, -16, 11, -18, 3, -9],\n [0, 0, 1, 2, -18, -17, 17],\n [0, 0, 0, 8, 1, 7, 12],\n [0, 0, 0, 0, 9, -6, 6],\n [0, 0, 0, 0, 0, 2, 1],\n [0, 0, 0, 0, 0, 0, 13]]\nRound to the nearest integer, then give your answer as det(A) m... | 64 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[4, -11, -2, 17, -1, 16, -10],\n [0, -3, 16, -11, 4, 1, -12],\n [0, 0, 1, 17, -13, -17, 7],\n [0, 0, 0, -4, -5, -11, 9],\n [0, 0, 0, 0, 13, -17, -10],\n [0, 0, 0, 0, 0, -12, -1],\n [0, 0, 0, 0, 0, 0, 2]]\nRound to the nearest integer, then give your answer... | 24 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-10, 0, 7, -18, -5, -16, -13],\n [1, 8, 12, -4, 12, -5, -15],\n [10, -18, -1, -18, -8, 7, -12],\n [-7, -3, 12, -1, -2, 2, 15],\n [-9, -15, -12, -8, 15, 4, 13],\n [-12, -3, 1, 3, -15, -7, 4],\n [6, 1, 16, 8, 17, 1, -5]]? Round to the nearest integer, then e... | 810 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, -7, -1, 0, 6, -8, -4],\n [-7, -4, -9, 6, 12, 8, 4],\n [-1, -9, -10, 0, 11, -6, -4],\n [0, 6, 0, -9, 0, -8, -2],\n [6, 12, 11, 0, -1, 4, 0],\n [-8, 8, -6, -8, 4, 3, -16],\n [-4, 4, -4, -2... | 8 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-7, 0, -14, 13, -4, 14, -12],\n [0, 5, -15, 14, -17, -12, 16],\n [0, 0, 2, 14, 18, 3, -4],\n [0, 0, 0, -7, 2, -14, 11],\n [0, 0, 0, 0, -15, -3, -10],\n [0, 0, 0, 0, 0, 6, 7],\n [0, 0, 0, 0, 0, 0, -2]]? Round to the nearest integer, then express your answer... | 200 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[18, 14, 11, 0, -10, -8, -1],\n [14, 8, 11, -12, 10, 14, -8],\n [11, 11, 15, -2, -8, -2, -10],\n [0, -12, -2, 17, 10, -6, -1],\n [-10, 10, -8, 10, -10, 12, -10],\n [-8, 14, -2, -6, 12, -2, -10],\n [-1, -8, -10, -1, -10, -10, 18]]\nRound to the nearest integer, then... | 644 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[5, -5, 10, -6, 11, 17, 6],\n [0, -1, -5, 14, -1, -11, -16],\n [0, 0, 12, 17, 7, 14, -5],\n [0, 0, 0, 2, 15, 7, 18],\n [0, 0, 0, 0, 12, 11, -17],\n [0, 0, 0, 0, 0, 5, -1],\n [0, 0, 0, 0, 0, 0... | 200 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[9, -10, 4, -8, 4, 4, -4],\n [-10, -8, -11, -16, 1, 6, -12],\n [4, -11, -17, -11, 2, 14, 12],\n [-8, -16, -11, -16, 8, -2, 7],\n [4, 1, 2, 8, 6, 7, 5],\n [4, 6, 14, -2, 7, 1, 8],\n [-4, -12, ... | 660 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-17, 7, 2, -6, -1, 4, 2],\n [7, -13, 8, 0, 16, -10, 6],\n [2, 8, -14, 2, 7, -16, -12],\n [-6, 0, 2, 3, 0, 4, 2],\n [-1, 16, 7, 0, -9, -3, 13],\n [4, -10, -16, 4, -3, 10, -14],\n [2, 6,... | 548 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[2, 12, 5, -10, 11, 18, -12],\n [0, -5, 8, 17, -2, -2, -11],\n [0, 0, 11, -8, -12, 17, 4],\n [0, 0, 0, -3, 3, 15, -12],\n [0, 0, 0, 0, 1, 10, 13],\n [0, 0, 0, 0, 0, 11, -18],\n [0, 0, 0, 0, 0... | 370 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, -7, -18, -16, 6, -15, -16],\n [0, -6, 7, 0, -6, 7, -4],\n [0, 0, 7, 6, -14, 4, -1],\n [0, 0, 0, 8, 4, -6, -9],\n [0, 0, 0, 0, 11, -17, 5],\n [0, 0, 0, 0, 0, -1, 14],\n [0, 0, 0, 0, 0, 0, 2]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPr... | 528 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-12, 14, 0, -18, -18, 2, 0],\n [-2, -2, -5, 9, -12, 7, -17],\n [6, -12, -3, 5, 6, 8, -18],\n [-3, 1, -3, 14, 8, -2, -2],\n [16, -11, -13, 5, 13, 10, 0],\n [-1, 9, -9, -10, 16, 0, -13],\n [-1... | 220 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-6, 5, 10, -1, 10, 4, 12],\n [5, 1, 1, 1, 6, 2, 14],\n [10, 1, 1, 0, -8, 10, 17],\n [-1, 1, 0, 16, -4, 0, -2],\n [10, 6, -8, -4, 16, 3, 2],\n [4, 2, 10, 0, 3, 15, 4],\n [12, 14, 17, -2, 2, 4, 4]]\nRound to the nearest integer, then give your answer as det... | 35 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[7, -4, 1, -8, 2, 14, 10],\n [-4, -7, 9, -4, -10, 0, -2],\n [1, 9, 2, 8, 8, -16, 6],\n [-8, -4, 8, -3, -12, 6, 2],\n [2, -10, 8, -12, -18, 0, 12],\n [14, 0, -16, 6, 0, 16, -2],\n [10, -... | 392 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[3, 6, -3, 3, 11, -3, 3],\n [0, -11, -10, 11, 4, 0, -16],\n [0, 0, 2, 9, -1, -12, -3],\n [0, 0, 0, 1, -15, 8, -14],\n [0, 0, 0, 0, -9, 15, -8],\n [0, 0, 0, 0, 0, 13, 0],\n [0, 0, 0, 0, 0, 0, -15]]? Round to the nearest integer, then express your answer modu... | 170 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-4, 0, 18, -1, 9, -16, 0],\n [0, -14, -7, -14, 3, -11, -11],\n [0, 0, -11, -18, -17, 0, -11],\n [0, 0, 0, -7, -15, 9, -10],\n [0, 0, 0, 0, -2, -16, -6],\n [0, 0, 0, 0, 0, 15, -4],\n [0, 0, 0, 0, 0, 0, -9]]? Round to the nearest integer, then express your a... | 240 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-15, -5, -9, 1, -5, -9, 8],\n [0, -14, 16, -2, 10, -5, 17],\n [0, 0, -2, 18, -7, -1, -9],\n [0, 0, 0, 6, -17, 11, 16],\n [0, 0, 0, 0, 1, 7, 15],\n [0, 0, 0, 0, 0, -14, -13],\n [0, 0, 0... | 840 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[14, 0, 11, 5, -11, -7, -10],\n [15, -2, -5, -2, 3, 16, 1],\n [16, 1, -12, -3, -13, -1, 17],\n [-8, 3, 8, 7, -4, 1, -7],\n [-3, -14, 5, 0, -15, 4, -3],\n [4, -15, -9, -3, -1, 7, 2],\n [17, -1... | 40 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-12, -13, -15, 8, -13, 5, 4],\n [0, -12, 2, -14, -7, 5, -1],\n [0, 0, 11, 17, 17, -10, 15],\n [0, 0, 0, -1, -1, -15, 6],\n [0, 0, 0, 0, -2, -16, 11],\n [0, 0, 0, 0, 0, 9, 0],\n [0, 0, 0, 0, 0, 0, 6]]? Round to the nearest integer, then express your answer ... | 72 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, 6, -16, -14, -1, 18, -1],\n [-16, 13, 6, 15, -13, 5, -12],\n [17, -7, 8, -17, 10, 16, 3],\n [12, 0, -8, 18, -17, -12, -18],\n [-16, 0, -6, -17, 0, -16, 3],\n [-9, 7, 12, 11, -2, 7, 7],\n [-18, -5, 0, 6, 4, 16, 16]]\nRound to the nearest integer, then take the r... | 822 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-14, -15, -11, 9, 1, 17, 15],\n [10, -11, -14, -1, -10, -1, -4],\n [8, 3, 3, -12, 4, 18, -10],\n [9, 18, -2, 7, 3, 2, 0],\n [-3, 10, 6, -9, -15, -9, -11],\n [14, -2, -10, -7, 12, -14, -3],\n... | 811 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, 6, -2, 17, 16, 17, 1],\n [14, -10, 15, -1, 13, -14, 17],\n [-13, -16, 14, 0, 10, -14, -13],\n [-10, -7, -16, -14, -9, -18, 6],\n [-2, 2, -5, 17, -8, -12, -2],\n [-8, -12, -11, 18, 12, 7,... | 531 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-12, 1, 8, -12, 4, -2, 1],\n [1, 14, -6, 0, 8, 10, -2],\n [8, -6, -13, 2, 12, -8, 5],\n [-12, 0, 2, -10, -11, 12, 4],\n [4, 8, 12, -11, 12, 5, -4],\n [-2, 10, -8, 12, 5, -16, 2],\n [1, -2, 5, 4, -4, 2, 17]]\nRound to the nearest integer, then take the result modul... | 628 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-4, 8, -14, 17, 9, -15, -4],\n [0, -8, 13, 9, 6, 18, -7],\n [0, 0, 4, -8, -14, 9, 8],\n [0, 0, 0, -10, -6, -5, -4],\n [0, 0, 0, 0, -1, 13, -17],\n [0, 0, 0, 0, 0, 7, -8],\n [0, 0, 0, 0, 0, 0, -1]]? Round to the nearest integer, then express your answer mod... | 40 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-14, 16, 12, -8, 14, 14, -18],\n [0, -15, 11, 18, 3, -18, -15],\n [0, 0, -8, 1, 4, -15, 6],\n [0, 0, 0, -15, -2, -14, 5],\n [0, 0, 0, 0, -6, -13, 9],\n [0, 0, 0, 0, 0, -4, -1],\n [0, 0, 0, 0, 0, 0, 18]]? Round to the nearest integer, then express your answ... | 400 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, -14, 10, -6, -2, 15, 6],\n [-14, -1, 1, -1, 9, 4, -4],\n [10, 1, 3, -8, -8, 0, 13],\n [-6, -1, -8, -14, 12, -3, 8],\n [-2, 9, -8, 12, 5, -4, 14],\n [15, 4, 0, -3, -4, -1, 16],\n [6, -4, ... | 239 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, 18, -7, -14, 1, 0, -13],\n [0, 1, 4, -17, 4, 8, -1],\n [0, 0, 5, -4, -3, -14, -18],\n [0, 0, 0, 10, -7, -9, -9],\n [0, 0, 0, 0, 10, 1, 12],\n [0, 0, 0, 0, 0, -7, 0],\n [0, 0, 0, 0, ... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[17, 1, 2, 12, -1, 8, 2],\n [1, 18, -6, -11, -1, 1, -4],\n [2, -6, 3, -16, -4, 6, -8],\n [12, -11, -16, 4, 2, -7, 0],\n [-1, -1, -4, 2, 16, -10, -5],\n [8, 1, 6, -7, -10, -14, -4],\n [2, -4, -8, 0, -5, -4, 18]]\nRound to the nearest integer, then take the result mo... | 885 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-7, -1, 7, -11, 3, 12, 11],\n [-8, 17, 6, -6, 17, -18, -14],\n [-8, -13, 13, -7, 10, -7, -5],\n [-8, -5, 7, -5, 16, -5, -9],\n [-9, -12, 12, -10, -15, 1, -7],\n [0, 18, 2, -17, 10, 12, 1],\n [2, -12, 12, -18, -6, -6, 8]]\nRound to the nearest integer, then take th... | 160 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-2, 12, 4, 6, 6, -8, -3],\n [12, 9, 0, 3, -12, 6, 10],\n [4, 0, 6, -4, 2, 2, -2],\n [6, 3, -4, 9, 8, -2, -17],\n [6, -12, 2, 8, -3, 6, 14],\n [-8, 6, 2, -2, 6, -3, -4],\n [-3, 10, -2, -17, 1... | 972 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-17, -4, 4, -9, 12, -4, -14],\n [-4, 16, 4, 12, -5, 12, 2],\n [4, 4, -17, 10, -6, 0, -14],\n [-9, 12, 10, -9, 4, -12, 8],\n [12, -5, -6, 4, 18, 2, 15],\n [-4, 12, 0, -12, 2, 11, 2],\n [-14, 2, -14, 8, 15, 2, -5]]? Round to the nearest integer, then express... | 72 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-3, -8, 2, -1, -2, -1, 10],\n [-8, 1, 2, 2, 2, -4, 2],\n [2, 2, 10, -12, -2, -13, -3],\n [-1, 2, -12, 6, 5, 2, -12],\n [-2, 2, -2, 5, -12, 2, 0],\n [-1, -4, -13, 2, 2, 15, 2],\n [10, 2, -3, -12, 0, 2, -15]]? Round to the nearest integer, then express your ... | 787 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[1, -12, -3, 9, 2, -10, 8],\n [-12, -7, 11, -13, -15, -12, -4],\n [-3, 11, 11, 9, 4, 8, -1],\n [9, -13, 9, 5, -9, 0, 4],\n [2, -15, 4, -9, 15, 13, 6],\n [-10, -12, 8, 0, 13, 5, 2],\n [8, -4, -1, 4, 6, 2, -18]]\nRound to the nearest integer, then take the result mod... | 87 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-11, 1, 8, -13, -9, -14, -8],\n [14, -2, -8, 7, 7, -13, -11],\n [-1, -8, 9, 18, -3, -3, -12],\n [-1, 3, 7, -7, -8, -7, 11],\n [13, 14, 10, 17, 11, -13, -4],\n [6, 15, -1, 15, 9, -12, -3],\n [-17, 0, -2, 15, 13, 0, 10]]? Round to the nearest integer, then e... | 120 | MATH |
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