messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Compute |A| for the matrix A =\n[[-18, 23, -6, -10, -18, -10, -16, 0, -26, -10],\n [0, -22, 29, 19, 14, -22, -22, -22, -17, 27],\n [0, 0, 27, -27, 12, -1, -19, 6, -2, -15],\n [0, 0, 0, -16, 29, 15, 2, -23, 10, -3],\n [0, 0, 0, 0, 10, -18, 28, 2, -9, 11],\n [0, 0, 0, 0, 0, 17, 22, -6, -5, -6],\n [0... | 400 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-18, 12, -27, -16, 13, -16, 6, 24, -5, -14],\n [12, -23, 10, 14, -21, 19, -13, 2, 8, -26],\n [-27, 10, 23, 6, 22, -25, 3, 16, 8, 12],\n [-16, 14, 6, 14, -12, -17, 20, 12, 8, -4],\n [13, -21, 22, -12, 22, -16, 8, 24, 10, -4],\n [-16, 19, -25, -17, -16, 15, 10, 26, ... | 417 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[27, -12, -12, 6, 10, 6, -12, -12, -4, 10],\n [-12, -7, -23, -6, -8, 14, 18, 4, 10, 9],\n [-12, -23, -13, -20, -6, -15, -8, 26, 0, 0],\n [6, -6, -20, -14, -19, -6, 22, 18, -10, 24],\n [10, -8, -6, -19, 23, -10, 5, -6, 12, -12],\n [6, 14, -15, -6, -10, 21, ... | 854 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-5, -9, 12, -4, 4, 1, 20, 4, -10, -7],\n [-9, -18, 10, -24, 28, -10, 16, 1, 16, 10],\n [12, 10, -25, -3, 22, -20, -14, -8, 6, -13],\n [-4, -24, -3, -21, 2, 1, 9, 25, 4, 3],\n [4, 28, 22, 2, ... | 217 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-1, -5, 4, 13, 30, -30, 0, -1, -12, 28],\n [-2, 27, 29, -5, -8, 22, -8, 6, -12, 8],\n [1, -3, -28, -12, -7, 25, -4, -9, -23, -14],\n [-17, 0, 20, 29, -13, 30, -9, -24, -4, 6],\n [20, -... | 4 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[18, 8, 27, -22, -7, -7, -16, -24, 25, 25],\n [-11, 20, 29, 5, -16, 14, 9, 13, -8, -26],\n [-13, -22, 11, -9, 3, 28, -30, 23, 12, -1],\n [-12, -28, -3, -21, -22, -3, -20, -15, -8, 4],\n [23, -20, -7, 4, 22, -10, -17, -4, 14, -30],\n [-4, 14, 6, -5, 19, 26, 7, 28, 1... | 237 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-3, -27, -4, 15, -29, 12, 5, 24, 7, 5],\n [-26, -3, -22, 30, -17, -10, 27, 25, 29, -19],\n [22, 20, 16, 10, -16, 16, -3, -20, -11, -4],\n [1, 26, 18, 26, 18, 25, 19, -18, -27, 17],\n [29, -17, -25, -28, -1, 11, -19, -25, -6, 29],\n [-4, 21, 4, 18, 4, 29, ... | 364 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-23, -3, 27, 7, -24, 21, -2, -2, -1, 12],\n [0, 11, 14, 1, -12, 23, 19, -25, 12, 11],\n [0, 0, 7, -24, -13, 0, -26, 29, -25, -12],\n [0, 0, 0, -21, 17, 9, -3, 20, 9, -21],\n [0, 0, 0, ... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-29, -22, -1, -6, 0, -2, -17, -3, -23, 8],\n [0, 6, -4, 22, -22, -18, 10, -11, 25, -15],\n [0, 0, -28, -16, -30, 18, 25, -16, 25, -15],\n [0, 0, 0, -12, -21, -23, -11, 26, -22, -24],\n... | 344 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-29, -18, -21, -6, 2, 10, -4, -2, 26, 21],\n [-4, 8, -15, 22, 12, -2, 4, 15, -15, -16],\n [-4, 2, -6, 2, -19, -17, -21, 11, 6, -19],\n [30, 16, -10, 5, -24, -19, -11, 3, 0, -25],\n [14, 11, ... | 812 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-30, 14, 21, -18, 2, 12, -7, -20, -26, 12],\n [0, 1, 4, 21, 20, -12, 30, -30, -16, -12],\n [0, 0, 15, 5, -23, 14, 18, -5, 5, -13],\n [0, 0, 0, -26, 23, 5, 20, -3, -14, -17],\n [0, 0, 0, 0, -... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-14, -28, 24, 2, -22, -25, -22, -13, 9, -23],\n [-14, 24, -6, -6, 22, -22, 28, -22, -27, -16],\n [-21, -16, -14, 7, 6, -28, -12, 30, -10, 23],\n [23, 8, -30, -7, -13, -14, 1, -2, 17, -29],\n... | 943 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[0, 2, 12, 21, -29, -2, -23, -27, -30, 28],\n [-30, 16, -2, 13, 7, -6, -13, -19, -20, -26],\n [30, -24, 28, 22, 6, 12, 30, 4, 22, 2],\n [-22, -14, 29, 16, 16, -28, 9, -14, 8, -18],\n [-28, -12, 6, 15, -25, 3, 4, 8, -17, 23],\n [-19, -3, 8, -29, 8, 18, 7, -6, -4, 30... | 164 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-19, 4, 23, -9, 22, 26, -2, -12, -13, 25],\n [-13, 13, 30, 16, 18, -15, 13, 27, 28, 25],\n [-12, 18, 21, -22, 2, 25, -18, -20, 30, 2],\n [6, -1, 8, 15, -22, -8, -7, 1, 18, 7],\n [-27, 13, 10, 15, -4, -20, -10, -17, -13, 28],\n [30, -7, -11, 10, -5, 0, 21,... | 825 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-15, -30, 5, -3, -18, -20, 23, -25, 28, -1],\n [21, 27, 6, 3, 19, -3, -22, 0, -25, 29],\n [27, -25, 5, -11, 9, 1, 16, 18, 1, -26],\n [7, 6, -21, 6, 16, -29, -24, -20, -30, -17],\n [-10, -25, 17, -5, -14, -5, -24, 17, -30, -16],\n [0, 5, -25, -12, -25, -1, 4, 14, 2... | 313 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[17, -1, 2, -14, 20, 8, 6, 8, 13, -22],\n [0, -27, 13, 24, -14, -27, 13, 17, 27, 10],\n [0, 0, -21, 14, 16, -10, 25, 25, 1, -1],\n [0, 0, 0, -11, 9, 25, 23, 18, -3, -22],\n [0, 0, 0, 0, 23, -11, -25, 20, -6, 6],\n [0, 0, 0, 0, 0, -26, 25, 6, 21, -30],\n [0,... | 900 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-23, 25, -17, -14, -20, -25, 0, -19, 10, 20],\n [7, -4, 27, -26, -2, 18, -1, -18, -18, 29],\n [26, 25, 26, -2, 14, -26, -17, -9, 20, -14],\n [-12, 15, 22, 14, 10, 23, 5, 17, 24, -19],\n [-6, 24, -8, -14, 4, 8, -7, 7, 9, 24],\n [-19, 27, 12, 7, 27, -17, -1... | 255 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[29, -30, 17, 0, -1, -19, -17, 6, -25, 29],\n [-1, 27, -14, 24, -18, 27, 17, 7, -15, 17],\n [26, -3, -19, 5, -15, -19, -30, -12, -25, -25],\n [-13, 17, -3, -19, 0, -4, 15, 18, -23, -20],\n [-24, 29, -9, -11, -12, -29, 18, 14, -4, 25],\n [-6, 15, -20, -22, ... | 504 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[4, 14, -27, -15, 28, 19, 9, 1, -7, -11],\n [0, 8, 23, -28, -23, 3, -17, -11, -10, 6],\n [0, 0, -5, -12, 20, -14, 1, -28, 25, -7],\n [0, 0, 0, -18, -6, -1, 8, -18, 1, 17],\n [0, 0, 0, 0, -26, -4, 22, -21, 30, 21],\n [0, 0, 0, 0, 0, -27, -21, -30, -28, -10],... | 200 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[7, 30, 25, 20, -26, 15, 26, -25, -30, -11],\n [-4, 2, -10, -20, 15, -30, 12, 19, -17, -12],\n [-28, -16, -2, 22, 23, 17, -30, -13, -1, -21],\n [-4, -28, -15, -21, 26, -23, 12, -3, 25, 8],\n [30, 22, 27, -2, 10, -18, 18, -5, 18, 25],\n [27, 26, -27, 3, -13,... | 210 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[27, 0, -26, -10, -9, -16, -6, -12, 2, 25],\n [0, 15, 12, 4, -4, 10, -4, -19, 8, -18],\n [-26, 12, 29, -8, -15, -8, -26, -3, 15, 12],\n [-10, 4, -8, -24, 0, 0, -13, 13, 14, -18],\n [-9,... | 522 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-5, 1, -28, -13, -10, 0, -7, 3, 11, -26],\n [1, -10, 15, -4, 2, -28, -12, 26, -30, 14],\n [25, -27, 27, -4, 24, 22, 11, -8, -27, -11],\n [-19, 0, -22, -18, 3, 2, 9, 23, 15, -1],\n [16, 28, 1... | 583 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[17, 7, -27, -28, 10, -6, -27, -14, -28, -14],\n [0, -27, -25, -2, 5, -17, 30, 21, 18, 1],\n [0, 0, 16, -26, 20, -30, -9, -11, 20, 29],\n [0, 0, 0, 14, 25, 30, 26, 22, 21, -28],\n [0, 0, 0, 0, 29, -19, 19, 30, -12, -22],\n [0, 0, 0, 0, 0, 1, 14, 8, -20, -18... | 760 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-6, 0, -12, -12, -7, -8, -18, 25, -18, 0],\n [0, 16, -12, 6, 6, -18, -10, -16, -2, 16],\n [-12, -12, -19, -10, 12, -20, 14, 21, -24, 9],\n [-12, 6, -10, -3, 3, -4, 12, 8, 4, 9],\n [-7, 6, 12, 3, -10, -16, -6, -21, 24, -6],\n [-8, -18, -20, -4, -16, 21, -6,... | 707 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-19, -4, 10, 17, -4, -8, 1, 22, 4, 4],\n [-4, 26, 2, 0, 18, -2, -6, -14, 0, 30],\n [10, 2, -18, 10, 24, 14, -4, 8, -20, -1],\n [17, 0, 10, -8, 2, -4, 15, 4, -4, 15],\n [-4, 18, 24, 2, 24, -16, 8, 20, -18, -18],\n [-8, -2, 14, -4, -16, -10, -14, -8, 8, -4],... | 57 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[16, -29, 6, -19, -9, 29, -27, 10, -16, 15],\n [0, 1, 0, 4, 12, 18, -7, 18, 27, -3],\n [0, 0, 9, -25, -5, 10, -15, -17, -2, -8],\n [0, 0, 0, 1, 4, -30, 12, 28, -18, -24],\n [0, 0, 0, 0, -17, ... | 672 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-1, -19, -30, 29, 26, 24, -13, -15, 17, -6],\n [0, 21, -18, 23, 9, 5, -10, -24, -26, -11],\n [0, 0, -29, -14, 10, -28, 1, -5, -22, 7],\n [0, 0, 0, 8, -11, -3, -3, 19, -6, -5],\n [0, 0, 0, 0,... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[15, -16, -6, -28, -11, -18, 16, -28, 23, 0],\n [18, -22, -4, -13, 17, 0, 19, 5, -30, -1],\n [20, 15, 11, -25, 29, 2, -4, 29, 6, -26],\n [-27, -16, -17, 19, 5, -29, 11, 20, 16, 18],\n [-12, 2, -23, 18, 28, -30, -21, -18, -8, -29],\n [15, -27, -30, 23, 20, 1... | 930 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-9, 5, -30, -15, 6, 8, -1, 21, -20, -19],\n [0, -12, -7, -6, 17, -15, 3, 17, -13, -2],\n [0, 0, 23, -20, 0, -20, 6, 18, -21, 23],\n [0, 0, 0, 11, -17, 12, -29, 22, 19, -2],\n [0, 0, 0, 0, 10, 3, -19, -2, -25, -5],\n [0, 0, 0, 0, 0, -19, -22, 17, 10, -2],\n [0, 0, ... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-9, -29, 22, -5, -20, 7, 25, 21, 15, 17],\n [-28, 1, 12, -11, 11, 8, -11, -23, 20, -8],\n [-9, -1, 18, -6, -10, 6, -28, -7, -9, 11],\n [-11, 27, -29, -27, -14, 18, 15, -3, 9, -11],\n [... | 40 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[25, -29, 15, -17, -22, -13, -20, -14, -4, 23],\n [-26, 5, 3, 23, -4, -13, 22, 10, -30, -15],\n [14, 29, 8, 19, -12, 13, 2, -1, -4, 1],\n [-2, -23, 13, 11, 4, 4, 26, -17, 6, 7],\n [9, 9... | 670 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[19, -4, 3, -2, 21, 21, 28, 10, -13, -21],\n [0, 24, 15, 18, 6, 23, -26, -15, 21, 27],\n [0, 0, 1, 14, 30, -3, 3, -4, 19, 9],\n [0, 0, 0, -12, 17, 18, 19, 19, -9, -8],\n [0, 0, 0, 0, -28, -26, -1, -22, -17, -30],\n [0, 0, 0, 0, 0, 27, 3, -4, -12, 4],\n [0, ... | 112 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-16, -8, -6, -11, -16, 15, -28, 12, 27, 18],\n [19, 10, 29, -24, 12, -30, -18, -18, 24, -15],\n [5, 19, 7, 27, -4, -9, 30, -23, -15, 1],\n [30, -15, 6, 22, -25, -6, 27, 11, -8, -12],\n [-6, -30, -22, 1, 14, 23, 19, -14, -18, -7],\n [21, -1, 12, 9, 24, -10,... | 419 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[10, 11, -30, 2, 5, 10, 3, 9, -24, -8],\n [-13, -30, -20, 21, -11, 19, -11, 1, 29, 1],\n [20, -11, -4, 10, -27, 2, 18, -10, -8, 4],\n [20, 28, -26, -25, 1, 28, -25, 11, -5, 28],\n [-22, -30, -10, -9, -7, 6, 28, -10, -16, -21],\n [-5, 25, -21, 12, -5, -24, -22, 25, ... | 539 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-27, 3, -6, 0, 1, -6, 5, -8, 10, -3],\n [3, 6, 22, -24, 1, -17, -22, 4, 12, 6],\n [-6, 22, -11, 0, -6, -14, 11, 8, -12, 19],\n [0, -24, 0, 21, 3, -6, -8, 6, -2, 22],\n [1, 1, -6, 3, 24... | 274 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-28, 5, -17, -29, -27, 26, 30, 6, -8, -20],\n [4, 3, -10, 30, 28, 23, 4, 11, -22, -17],\n [-1, -29, -14, 30, -16, -20, 18, -2, -20, 23],\n [26, -11, -28, -24, -30, -18, 20, 10, 16, 28],\n [29, -12, -1, -15, -13, 0, 4, -3, 22, 27],\n [10, 25, -6, -19, 17, 1... | 848 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[4, 12, -6, 10, 7, 3, 29, 6, 13, -13],\n [0, 9, 26, 6, -19, -23, -8, 1, -9, 24],\n [0, 0, 14, 2, 21, -28, -20, -19, 10, -5],\n [0, 0, 0, -18, -16, 11, 18, -8, 11, 11],\n [0, 0, 0, 0, 7, -6, -... | 344 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-30, 14, -12, 3, 12, -28, -2, 27, -1, -21],\n [-29, 18, -20, -26, 0, 5, 18, 30, 30, -28],\n [-5, -3, -26, 8, 0, -1, 18, -22, -24, 4],\n [27, -10, -26, -8, 0, 3, -11, -10, 20, -15],\n [-6, -24, -23, 0, 27, -29, -9, -29, 22, 0],\n [-16, -25, -27, -8, -7, 15... | 426 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[2, -27, -29, 11, 8, -30, 8, 26, 16, -17],\n [26, 3, 11, 13, 21, -27, 21, -27, -8, -7],\n [25, 29, 16, -7, -5, 20, 5, -29, -24, -13],\n [17, -7, -3, 3, 30, 26, -21, -1, 21, -10],\n [24, -4, -... | 330 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[8, 30, -4, 10, -29, -21, -8, 10, -10, -22],\n [-4, -7, -24, 27, -21, 30, 17, 25, -29, 15],\n [-1, 10, 5, 15, -17, 2, -27, 21, 21, 23],\n [2, 20, 27, -7, 26, 25, -17, -19, 18, 1],\n [1,... | 99 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-2, -8, 4, 1, -4, 5, 8, 6, -2, -24],\n [-8, 11, 16, 22, 8, 10, -2, 16, 12, 0],\n [4, 16, 5, -8, 5, -22, 14, -10, 8, -4],\n [1, 22, -8, -7, -3, 28, -22, 18, -20, 2],\n [-4, 8, 5, -3, 12, -28, 2, 5, -10, -4],\n [5, 10, -22, 28, -28, -17, 0, -12, -2, 10],\n [... | 960 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[7, -2, 20, 18, -22, 11, -4, -10, 10, 16],\n [-2, 30, -14, -12, 0, -14, 12, 2, -8, 0],\n [20, -14, -5, -16, 8, -19, -2, -8, 14, -12],\n [18, -12, -16, -9, 4, 10, -18, 2, 10, 9],\n [-22,... | 918 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-29, 22, 0, 6, 28, 5, 1, 14, 15, 10],\n [22, 10, 12, 1, 26, 12, -23, 0, 12, 8],\n [0, 12, 12, -4, 10, 18, -26, -8, 7, -4],\n [6, 1, -4, 21, -18, -4, 0, 10, 2, -15],\n [28, 26, 10, -18, -20, ... | 432 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-12, 3, 24, -2, 28, -28, 26, 6, 13, -6],\n [14, 27, 9, 29, -22, -23, 12, -24, 15, -18],\n [16, 20, 2, 26, 10, 1, -10, -10, 20, 1],\n [-15, 17, 17, 26, -26, 5, -8, -10, 24, -7],\n [-25, -27, -21, -19, 11, -1, -30, -12, 18, 6],\n [-9, -29, -29, 8, 11, -12, 8... | 845 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[9, -5, -17, 17, -17, -19, -2, -5, 23, -2],\n [1, 28, 5, 16, 21, 24, -5, -23, 23, 27],\n [19, -17, 21, 28, 14, -18, 27, 1, 5, -27],\n [7, -20, -19, -30, 17, 13, -22, 18, 6, 17],\n [-5, -8, -30, -27, -17, -20, 15, 1, 8, 16],\n [13, 23, 23, 14, -10, 8, -28, 6... | 673 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-23, -16, 9, 12, -6, 4, 18, -4, 5, 0],\n [-16, -4, -8, -12, 0, -19, 10, -2, 14, 12],\n [9, -8, 26, -10, -13, 10, 0, -8, 26, -23],\n [12, -12, -10, 24, -5, 0, -12, 2, 16, -3],\n [-6, 0, -13, -5, -15, -5, 11, 17, 26, 6],\n [4, -19, 10, 0, -5, -30, 4, 6, -20,... | 651 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[12, 2, 2, -4, 10, 10, -4, 8, -22, 0],\n [2, -8, -14, 17, 18, -12, 0, -20, 16, -8],\n [2, -14, -27, -2, 12, -16, -4, 23, 6, -6],\n [-4, 17, -2, 18, -5, -10, -12, 2, 13, -4],\n [10, 18, 12, -5, -5, -1, -13, -2, 17, 1],\n [10, -12, -16, -10, -1, -21, 1, 0, -8... | 760 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-7, 21, 28, -22, -26, 2, 18, 2, 10, 17],\n [0, 14, -10, 29, -26, -24, 10, 29, -3, -23],\n [0, 0, -27, -7, 5, 30, -23, 3, 2, -8],\n [0, 0, 0, 5, 10, -11, -17, -14, -24, -14],\n [0, 0, 0, 0, 29, -2, 10, -12, 2, -15],\n [0, 0, 0, 0, 0, 12, -3, -29, 3, 21],\n... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-19, 10, -6, 24, 9, 19, 14, -4, -22, 1],\n [0, 13, 12, -24, -18, -15, 30, -3, -5, 27],\n [0, 0, -9, 8, -12, 9, 9, -18, 29, 17],\n [0, 0, 0, -25, 20, -9, 25, -4, -21, -30],\n [0, 0, 0, 0, -27, -12, 22, -3, 26, 1],\n [0, 0, 0, 0, 0, -8, -8, -15, -5, 25],\n [... | 400 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-25, 28, 28, 18, -16, -25, 14, -9, -27, -16],\n [0, -2, -8, 23, -29, -26, 23, 19, 11, -27],\n [17, -26, 1, 16, -15, 5, -27, 28, -22, 29],\n [-2, -29, -3, -17, 23, 27, -30, 7, 24, 6],\n... | 905 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-21, -1, 8, 12, -14, 22, -7, -11, -12, -2],\n [-1, -10, -6, -7, 5, 6, 9, 12, -2, 2],\n [8, -6, -20, 0, -17, 6, -2, 6, 11, 0],\n [12, -7, 0, -5, -4, -16, 22, -2, -10, -10],\n [-14, 5, -... | 755 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[5, 19, -6, 17, -5, 18, -29, 6, -1, 9],\n [-12, -8, 3, -4, 7, 15, 8, 25, -16, 23],\n [16, -22, -13, -6, -13, 25, -12, -13, -29, -19],\n [14, 27, 21, -2, 20, 13, -27, 11, -20, -18],\n [4, 12, -23, -16, -6, -4, 15, 23, 25, 9],\n [-15, -2, 24, 16, -16, 11, 6,... | 314 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-20, 9, -1, -7, 22, -5, -29, 3, 22, -15],\n [0, -29, 27, -19, -24, 20, 28, -17, 1, -24],\n [0, 0, 23, 20, 4, -13, 1, -18, -21, 16],\n [0, 0, 0, -9, -11, -22, -21, 13, 29, 25],\n [0, 0, 0, 0, 21, 13, 17, -24, 26, -28],\n [0, 0, 0, 0, 0, 20, -24, 20, 15, -1... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, -22, -16, 6, 13, 13, 13, -22, 1, 27],\n [-14, 29, -28, 16, 22, 16, -19, 7, 28, 2],\n [2, -4, -16, -27, -1, -14, 10, -28, 27, 3],\n [-2, 13, 26, -15, -6, -20, -6, -18, -28, 27],\n [-11, -10, 16, 18, 13, -16, -23, 15, 28, 8],\n [24, 22, -1, -13, -23, -21, 9, 23, ... | 368 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-4, 3, -30, 7, 24, 1, 2, 28, 25, 10],\n [24, 26, -12, -16, -21, 11, -5, -12, 6, -29],\n [-23, 10, -20, 25, 11, 22, -26, -20, -15, 26],\n [4, -4, -20, 5, -1, 19, -28, 7, 21, -7],\n [-26, -18,... | 986 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[24, 21, -2, 23, -23, -23, -2, 5, -12, 4],\n [0, -18, 30, 11, 14, -27, 1, -20, -1, 8],\n [0, 0, -24, 23, -17, -30, -13, -30, 26, -25],\n [0, 0, 0, -21, -21, 10, -3, -5, -7, 15],\n [0, 0, 0, 0, 28, -8, 10, -12, -18, -17],\n [0, 0, 0, 0, 0, 13, 9, 4, 9, 17],\... | 120 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-10, 14, 17, 21, 27, -4, 8, -3, 29, -3],\n [0, 15, -22, 29, -30, -9, 24, 24, -8, 30],\n [0, 0, 7, -1, -22, -18, 26, 3, 25, -30],\n [0, 0, 0, -24, -23, -15, -8, 28, -1, -22],\n [0, 0, 0, 0, -3, 20, 2, -5, 2, -18],\n [0, 0, 0, 0, 0, -26, 30, 28, -5, -24],\n... | 400 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-3, 17, -8, 12, -17, -10, 22, -29, 29, -6],\n [25, 13, -30, -30, -11, -17, 11, 25, -30, 19],\n [17, 3, 22, 11, -20, -10, 16, 29, -18, -6],\n [-4, -8, 26, -19, -1, -19, -25, -6, -6, -1],\n [8... | 261 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[10, 0, 29, 0, -7, 10, -6, -8, -19, 20],\n [0, -15, -12, -13, -27, -30, -8, -30, 28, -10],\n [0, 0, -9, 26, -15, -13, 21, -5, -4, 30],\n [0, 0, 0, -7, 14, 8, 10, -6, 11, 25],\n [0, 0, 0, 0, -... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, -6, 26, 4, 4, 28, 7, -1, -19, 13],\n [2, -18, -10, -11, 29, -2, 11, -2, -14, -7],\n [28, 4, 28, 26, 2, -22, -10, -25, 13, 5],\n [-1, -13, -21, 25, -14, -7, 4, -11, -17, 27],\n [-27, 14, ... | 36 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[22, -29, -2, 2, -9, 3, 21, 13, -19, -21],\n [0, 22, -9, -17, 3, 28, 28, 22, 28, -17],\n [0, 0, 9, 18, 8, -16, -14, -5, 20, 11],\n [0, 0, 0, -20, 2, 25, 5, -23, 21, 27],\n [0, 0, 0, 0, 13, -3... | 800 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[29, -16, 25, -11, -26, -10, -14, -1, 3, -27],\n [0, -26, 7, -21, -20, 5, -13, 4, -15, -7],\n [0, 0, -24, -22, -9, -16, 19, -14, -17, -2],\n [0, 0, 0, -9, -4, 19, 5, 24, -25, -1],\n [0,... | 200 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-4, 14, 14, 12, 14, 0, -2, 9, 2, -21],\n [14, 22, 20, 22, 21, -6, 0, 12, 2, -8],\n [14, 20, -10, 10, -4, 10, 10, 18, -12, -24],\n [12, 22, 10, -26, -2, 10, -10, -1, 16, -23],\n [14, 21, -4, ... | 570 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-13, -30, 13, 16, 27, 14, 29, 7, 0, -12],\n [0, -5, -26, 1, -14, 29, -19, -23, -10, -15],\n [0, 0, 30, -20, 25, -17, -24, 1, -19, 13],\n [0, 0, 0, 30, 3, -28, 27, 16, 8, 14],\n [0, 0, ... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[20, -7, -24, 24, -11, -10, 1, -2, -17, 21],\n [0, -25, 1, -13, 30, 6, -20, 10, -27, -7],\n [0, 0, 9, 23, -18, 24, -25, -14, -4, -5],\n [0, 0, 0, 4, 25, -7, 3, -3, 4, -27],\n [0, 0, 0, 0, 1, -18, 15, -22, -10, -17],\n [0, 0, 0, 0, 0, -2, -9, 24, -5, -20],\... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[15, -2, 29, -11, 28, -15, -20, -1, 18, -28],\n [13, -7, 2, -5, 24, 7, -4, 6, 14, 22],\n [-25, 12, -27, 4, 11, -13, 11, 20, -4, 27],\n [21, -6, -20, 11, -15, 7, 10, 24, 28, 22],\n [1, 17, -22, 24, 22, -7, -5, -30, -1, -25],\n [-22, -21, -11, 11, -19, -22, ... | 846 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[13, 12, -23, -23, 27, 9, -29, 2, 17, -5],\n [5, 6, 4, 10, 0, 21, 22, 21, 24, 15],\n [1, 24, 4, 16, 29, -22, 18, 11, 4, 9],\n [-28, -8, 15, -26, -15, -27, 7, 3, -13, -6],\n [14, 29, 19, 12, -23, -16, 1, -15, 22, -22],\n [-7, 1, 24, -15, 3, -21, -8, -15, 16,... | 612 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[2, 29, 4, -6, -12, 25, 7, 19, 23, 29],\n [0, 6, 27, 5, 5, 1, -7, -1, 28, 6],\n [0, 0, -11, -29, 17, 24, -23, 21, -9, -17],\n [0, 0, 0, -24, -21, 12, 4, -24, -12, -6],\n [0, 0, 0, 0, 9, -29, -23, -14, 7, -25],\n [0, 0, 0, 0, 0, 26, -1, 0, 6, -25],\n [0, 0,... | 840 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[20, 10, 1, 0, 25, -29, -28, 25, 21, -18],\n [0, 12, 0, 26, 18, 19, 22, -20, 7, -7],\n [0, 0, -21, 9, 24, 25, -5, -5, 2, -16],\n [0, 0, 0, 23, 2, -24, -2, 7, -12, -12],\n [0, 0, 0, 0, 10, -12, 6, 29, 10, -29],\n [0, 0, 0, 0, 0, -17, -14, -29, 15, 20],\n [0... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-2, 4, 15, 14, -14, -12, -9, -18, -2, 18],\n [4, -22, 20, 10, 14, -10, -4, 24, -5, 15],\n [15, 20, -15, -8, -5, -8, 6, 8, 10, -3],\n [14, 10, -8, -5, 14, 22, -6, -6, -8, -5],\n [-14, 14, -5, 14, -8, -9, -10, 2, 14, -8],\n [-12, -10, -8, 22, -9, 13, 12, 18, -26, -1... | 213 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-13, 22, 18, 8, 9, -18, -19, 9, -27, 6],\n [-14, -6, 16, 21, 2, -20, 26, 7, 0, 18],\n [-24, -6, -6, -24, 26, 11, -22, 24, 25, 25],\n [4, 8, -21, 24, -29, -3, 20, 0, 21, -19],\n [28, 12, 18, 15, 18, 9, 29, 20, 24, -13],\n [7, -28, -3, -3, -12, 1, -27, -9, -4, 2],\n... | 18 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-11, -21, -5, 16, 21, 0, 14, 13, 14, -7],\n [-2, -6, -6, 17, 12, -11, 12, 4, -21, 3],\n [10, 1, -15, 24, 23, 15, 27, -7, -29, -21],\n [6, -29, 29, 2, -3, -18, -1, 16, -6, -15],\n [-22, 22, 7, 3, 1, 29, 19, -23, 8, 14],\n [13, 29, -10, 24, 13, 6, -23, -25, -9, 6],\... | 362 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-28, 14, 22, -12, 5, 20, -13, 14, -26, -1],\n [14, 22, 6, -27, 3, 2, 1, -12, 16, 20],\n [22, 6, 8, -18, 20, -6, -8, 2, -20, 12],\n [-12, -27, -18, 27, -5, -4, 22, -26, 10, -20],\n [5, ... | 214 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-26, -23, -17, -6, -14, -20, -20, 25, 14, 2],\n [0, -15, -28, -9, -1, -30, -23, -30, -22, -14],\n [0, 0, -9, 15, 3, -7, -3, 29, -1, 19],\n [0, 0, 0, 22, 0, 9, -16, 8, -6, -17],\n [0, 0, 0, 0, -20, 9, 13, 10, 1, 30],\n [0, 0, 0, 0, 0, 23, -20, 30, -2, 11],\n [0, 0,... | 600 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-7, 2, 19, 2, 10, 0, -3, 2, -15, -2],\n [2, 11, 10, -27, 14, 21, 16, 7, 3, 10],\n [19, 10, 4, 4, -5, 2, -4, 4, -27, 23],\n [2, -27, 4, -19, -26, 8, 6, 12, 7, 8],\n [10, 14, -5, -26, -11, -15, -12, -14, -23, -23],\n [0, 21, 2, 8, -15, 29, 22, -6, 8, -3],\n [-3, 16,... | 455 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[24, -18, 11, -11, -23, -6, -20, -28, -6, 26],\n [-18, 6, 13, 25, 27, 1, -30, 8, -22, 18],\n [-29, 8, -16, 28, 24, -17, -22, -5, 22, -9],\n [-2, 25, -10, -26, 5, 21, 16, 0, 16, -29],\n [19, -... | 516 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[21, 11, -4, -16, -20, 10, -11, 5, -13, -4],\n [11, -22, 12, -12, -23, 10, 21, 4, 6, -6],\n [-4, 12, 8, -6, 22, 15, 2, 1, 12, 3],\n [-16, -12, -6, 17, 2, 12, 2, 6, -9, -12],\n [-20, -23, 22, 2, -12, 0, -11, -2, 0, -22],\n [10, 10, 15, 12, 0, -12, -2, 0, 20... | 791 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[2, 29, -25, -2, -25, -4, 18, 4, -22, -12],\n [0, -13, -15, 17, 19, 16, -11, 25, 0, -23],\n [0, 0, 9, -12, 19, 26, 8, -19, -15, -16],\n [0, 0, 0, 19, -11, -21, -25, -1, -3, 12],\n [0, 0, 0, 0... | 104 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-22, -16, -23, 14, -9, 26, -1, 18, 5, -29],\n [2, 0, 8, -5, -26, -3, -24, 1, 22, 16],\n [-20, -4, -17, -24, -5, -22, -8, 30, 28, 23],\n [11, -5, -15, 9, -16, 19, -3, -3, -2, 29],\n [10, -24, -30, 26, -29, -14, 15, -12, 17, 17],\n [-23, -25, -25, 10, 10, 1... | 794 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[2, 0, 21, 18, 25, -3, -30, 23, -13, 16],\n [-5, -15, -1, -30, -30, -13, -22, 16, -4, 12],\n [27, 28, 14, 9, -12, -29, -23, -2, 14, 27],\n [-20, -9, -26, 7, 3, -20, 16, -1, -23, -15],\n [-1, -3, -2, 26, -26, 19, 10, -17, 26, -26],\n [17, -25, -15, -21, -19... | 23 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-23, -10, -2, 12, -14, -10, -15, 2, 0, 0],\n [-10, -6, 2, 15, 10, 8, 0, 6, 6, -2],\n [-2, 2, 6, 8, 8, 11, 24, -13, 12, -12],\n [12, 15, 8, -22, 0, -15, 14, -4, -24, -9],\n [-14, 10, 8,... | 536 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-7, 3, -13, 19, 22, 0, -8, 0, 21, -24],\n [3, -15, 6, 3, -22, 0, -2, -16, -5, -6],\n [-13, 6, -25, 16, -2, 20, 14, -8, 12, 14],\n [19, 3, 16, 21, 16, -14, 15, 14, -4, 4],\n [22, -22, -2, 16,... | 732 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-14, -10, -2, -4, -8, -21, -15, 27, 20, -25],\n [-14, -26, -6, 15, -29, -6, -12, 7, 14, -22],\n [27, -5, -4, -19, 14, -19, 5, 6, 13, 30],\n [-25, -19, -12, -17, 0, 14, -19, -14, -8, -1],\n [-1, 19, -8, -4, 11, 25, 13, 18, -10, 25],\n [-17, -24, 7, -21, 13, 20, 20,... | 357 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[27, 9, -8, -22, -3, 10, -26, 2, 22, -10],\n [9, -3, -14, 6, -10, -19, -15, 8, 14, 2],\n [-8, -14, 17, 2, -20, 28, -7, 12, -20, 21],\n [-22, 6, 2, 28, -6, 5, 27, 13, -2, -10],\n [-3, -1... | 489 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[17, 13, 26, -22, -6, -14, 2, 0, -22, 5],\n [13, 6, -8, 2, -4, -26, 14, -16, -21, -10],\n [26, -8, 23, -10, -14, 2, 22, 0, 16, -4],\n [-22, 2, -10, 25, 0, 22, 4, -28, -6, -6],\n [-6, -4, -14, 0, -16, 0, -20, -8, 6, -6],\n [-14, -26, 2, 22, 0, 22, 28, 0, 14... | 232 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-26, -15, 19, 20, -21, 22, 2, -27, 17, -10],\n [0, -19, 30, 19, -21, 15, -1, 8, 14, 25],\n [0, 0, 19, -4, 5, -10, 17, -15, 29, 15],\n [0, 0, 0, 11, 8, -11, -19, -29, 30, -13],\n [0, 0, 0, 0, 24, -13, 18, -7, 4, -30],\n [0, 0, 0, 0, 0, 10, 23, 4, -6, 9],\n [0, 0, 0... | 400 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[27, -21, 30, 10, -1, 2, 7, 18, -15, 29],\n [0, -24, -28, -14, 0, 24, 21, -23, 12, 3],\n [0, 0, 30, -30, 11, -16, 27, -11, -10, -15],\n [0, 0, 0, 17, -30, 17, -6, 18, -13, -28],\n [0, 0, 0, 0, 21, -4, -30, -22, -19, -27],\n [0, 0, 0, 0, 0, -6, -6, -17, 12,... | 600 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-30, -26, 25, -12, 3, -18, 15, -11, -13, 17],\n [12, 30, -25, 18, 17, -13, 10, -25, -24, 5],\n [21, -18, 0, 12, 29, -12, -13, 10, -5, 26],\n [-8, -10, -20, 24, -16, 20, -27, 24, 7, 17],\n [13, -3, -7, 27, 4, -12, -24, -2, -1, 23],\n [29, -21, 4, 18, -24, ... | 8 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[21, 6, 7, -4, -6, -12, 20, 8, 18, -8],\n [6, 27, 4, -5, -28, 2, 19, -3, -24, -6],\n [7, 4, -6, 10, 12, 14, 2, -21, -8, 30],\n [-4, -5, 10, 19, -6, 12, 16, -17, 6, 8],\n [-6, -28, 12, -6, -24... | 611 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-12, -25, 7, 25, 9, -1, -27, -11, 12, 8],\n [22, -10, -17, 22, -1, -23, 18, 15, 11, -14],\n [14, 7, 12, -1, -7, -22, 13, 13, -14, 19],\n [19, -12, 12, 25, 4, 29, 25, -9, 21, 30],\n [7, 26, -28, -29, -26, -9, -4, -24, -8, -12],\n [-11, -9, -13, -3, -7, -21, 23, 10,... | 948 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[21, -17, -18, -24, 21, -21, -13, 11, -16, 2],\n [25, 8, 4, -20, -27, 22, 8, -16, 1, -3],\n [-23, 21, 21, 3, -18, 1, 18, 12, -2, 9],\n [5, -13, 8, -11, -28, -30, 9, -28, -26, -11],\n [20, -18... | 336 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-6, -18, -3, 11, -16, -10, -20, 21, 10, 26],\n [0, 12, 24, 22, -13, -8, 7, -8, 8, 5],\n [0, 0, -26, 17, 13, 1, -5, 29, -30, 23],\n [0, 0, 0, -1, -10, 19, -9, 15, -30, -6],\n [0, 0, 0, 0, -27, -2, 28, 4, 26, -28],\n [0, 0, 0, 0, 0, 26, 16, 5, -5, 11],\n [0... | 608 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-18, -18, 2, -4, -29, 27, -19, -19, 28, 6],\n [12, -29, -4, 2, -3, 24, 21, 15, -29, 11],\n [-4, -23, -1, 12, -27, -15, -28, 27, -4, -8],\n [17, 8, -28, 12, 14, 21, -24, 20, 7, -13],\n [-8, 18, 14, 6, -29, -15, -22, -20, 15, 0],\n [27, 21, -20, -23, -29, 28, 5, -21... | 429 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-9, -15, 19, 0, 22, 14, 3, -14, -11, 26],\n [-15, -18, -7, 6, 18, 14, 12, 10, -6, 0],\n [19, -7, -1, -22, 14, -8, 0, -2, -14, -8],\n [0, 6, -22, 29, 12, 19, -4, 14, -4, 5],\n [22, 18, 14, 12, 1, -2, -8, -20, -3, -12],\n [14, 14, -8, 19, -2, -16, 1, 4, -18... | 366 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-24, -1, -27, 26, -23, -8, -9, 19, -24, -26],\n [-24, -10, -4, 21, 6, 3, 7, 30, 20, 18],\n [-25, -9, 14, -9, -15, -11, -22, 4, -24, -19],\n [19, -9, 25, -25, 24, -29, 0, -5, -7, 6],\n [12, 11, -29, -28, -10, -27, -21, 13, 4, 0],\n [22, 0, -8, 13, -29, 19, 18, -26,... | 147 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-23, 29, -28, 25, -3, -3, -11, 1, -12, 28],\n [8, -7, 23, 19, 6, -16, 0, -12, 7, 27],\n [-29, -1, 14, 19, -18, 26, -14, 13, -21, -17],\n [5, 21, -14, -3, 24, -26, -17, -22, -30, 9],\n [17, 9, -4, -10, -29, 10, -8, 8, 2, 0],\n [30, 21, 21, 6, 3, 11, -23, 25, 25, -2... | 654 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-30, -15, 12, 5, -29, -15, -15, 22, -30, -7],\n [0, 8, -25, -5, 18, -4, 28, 5, -6, 7],\n [0, 0, 22, -23, 1, 16, -1, -27, -8, 8],\n [0, 0, 0, 3, 27, -10, -20, -19, 26, -15],\n [0, 0, 0, 0, -1, 22, 12, 23, -27, -17],\n [0, 0, 0, 0, 0, -4, 12, -28, 0, -8],\n ... | 800 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[30, -2, -4, -14, 14, -9, -4, -22, -2, 5],\n [-2, -10, 9, -16, -12, -8, -6, -2, 2, 8],\n [-4, 9, 0, 24, -8, 17, 0, -10, -4, -21],\n [-14, -16, 24, -26, -4, 20, 26, 0, -2, -14],\n [14, -12, -8... | 477 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-20, 23, -19, 22, -30, 20, -24, 26, -8, -25],\n [-4, 24, 3, -1, -8, -22, -24, 5, 29, 20],\n [7, -18, 22, 30, -25, 6, 12, -10, -9, 4],\n [-17, 0, 25, -25, -6, 24, -7, -12, 19, 19],\n [14, -16, 5, -9, 24, -29, -14, 8, 5, -2],\n [-11, 14, 23, 10, 8, 15, 9, 21... | 592 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-27, -20, 8, -14, -12, 10, 4, -2, -21, -6],\n [-20, -27, 6, 12, -16, -5, 16, 4, -12, 12],\n [8, 6, 29, 2, -24, -12, 10, -18, 19, 10],\n [-14, 12, 2, 23, -3, 7, -1, -14, -8, 0],\n [-12, -16, ... | 984 | MATH |
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