messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[19, -15, 15, -5, -14, 17, 9, 5, 22],\n [-23, -24, -21, 14, -10, -20, 17, 20, -25],\n [-14, -8, 3, -2, 9, 23, 15, -13, -17],\n [-9, -18, -14, -9, 5, 10, -22, 11, -23],\n [3, -21, 21, 19... | 822 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[21, -16, 4, 0, -6, 17, 10, -4, 14],\n [-16, -12, 3, -2, 2, -17, -4, 6, 4],\n [4, 3, 21, 6, 4, -11, -1, -4, -6],\n [0, -2, 6, 20, -8, -3, 12, -1, 0],\n [-6, 2, 4, -8, -12, -15, 6, -7, 6],\n [... | 916 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-10, -22, -5, -1, -22, -14, 12, -7, 24],\n [21, 18, -18, 7, -13, -17, -6, -3, -22],\n [24, -20, 16, -1, -5, -25, -8, 15, -2],\n [-9, 6, 0, -23, -23, 2, -16, -20, -13],\n [5, 8, -1, -25, -3, -16, 0, 15, -2],\n [13, -15, -19, -16, -24, -18, 19, -15, -5],\n [... | 368 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[10, 15, 5, -1, 0, -13, -10, 14, 17],\n [0, 12, -6, 20, 13, 24, -16, -7, 16],\n [0, 0, -9, -1, -13, -3, 21, 14, 0],\n [0, 0, 0, 5, 10, 21, -9, 1, -5],\n [0, 0, 0, 0, -19, -17, -21, -8, 8],\n ... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[20, 1, -14, -1, 20, -23, -21, -17, -14],\n [0, 9, -12, 13, 24, 10, 4, -10, -19],\n [0, 0, 12, 8, 6, 0, -11, -8, 21],\n [0, 0, 0, 21, -3, -5, -15, -14, -11],\n [0, 0, 0, 0, 4, -19, 7, -20, -7... | 840 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-19, -2, 6, 8, 3, -2, 16, 10, 20],\n [-2, 9, -10, -10, 10, -10, 19, 7, -6],\n [6, -10, -7, 10, 16, 6, 4, 1, 6],\n [8, -10, 10, -3, -4, 4, 16, 5, -7],\n [3, 10, 16, -4, 18, -5, -6, -16, -10],\n [-2, -10, 6, 4, -5, 11, 0, 0, -9],\n [16, 19, 4, 16, -6, 0, 12,... | 170 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-7, -18, 10, -8, 4, -8, -8, 0, 16],\n [-18, 25, -14, -15, 2, 1, -9, -12, 8],\n [10, -14, 19, -3, -16, 15, -11, 10, 16],\n [-8, -15, -3, -9, -3, 22, 16, 4, 11],\n [4, 2, -16, -3, 22, -7, -10, -4, -5],\n [-8, 1, 15, 22, -7, 4, -5, 9, 2],\n [-8, -9, -11, 16,... | 992 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-20, 24, 16, -7, 20, -2, 2, -7, -20],\n [0, -1, 13, 0, 1, 12, -15, -22, 4],\n [0, 0, -22, -16, 4, 23, -4, 20, 5],\n [0, 0, 0, 5, -20, -3, -16, 20, 2],\n [0, 0, 0, 0, -2, -4, -22, -13, -15],\... | 400 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[21, -10, 8, -2, 17, -14, 1, -8, 2],\n [-10, -8, -16, 15, -11, -3, 7, -12, -4],\n [8, -16, 17, -2, -12, 4, -4, 12, -16],\n [-2, 15, -2, -19, 9, -4, 8, 4, 11],\n [17, -11, -12, 9, 2, -14, 7, 10, -4],\n [-14, -3, 4, -4, -14, -1, 0, -3, 12],\n [1, 7, -4, 8, 7... | 352 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-7, 3, 20, -8, -7, 7, -1, -12, 19],\n [18, -19, -12, 20, -23, -3, 16, 0, 18],\n [17, 7, 19, -7, -16, -8, -25, 4, -10],\n [-22, -5, 18, 20, -1, -5, -16, -2, -18],\n [25, 3, -17, -11, 18, -10, -17, 12, 9],\n [1, 11, 7, -1, -14, -7, 21, -8, -5],\n [-9, -18, ... | 980 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[25, -22, 23, -25, -12, 8, -7, -19, 19],\n [-25, 9, 1, -10, 13, 23, -4, 0, -13],\n [7, -24, -15, 4, -20, -1, -4, -7, -3],\n [-9, -8, 24, 22, -5, 25, -10, 5, -7],\n [1, -24, -23, 11, -7, -24, 21, -1, -20],\n [-3, -3, 13, 9, -16, 14, -25, 0, 10],\n [23, -2, ... | 320 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-7, -2, 16, -8, -1, -8, -17, 8, -5],\n [-2, -22, -9, 0, -10, -10, -12, -6, -17],\n [16, -9, -19, 12, -14, -16, 12, -6, -3],\n [-8, 0, 12, -23, 10, 7, -18, -19, 0],\n [-1, -10, -14, 10, 15, 2, -14, -8, 10],\n [-8, -10, -16, 7, 2, -4, -2, 0, -4],\n [-17, -12... | 650 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-15, -2, 0, -16, -23, 7, -25, 16, 25],\n [0, 13, -10, -17, 17, -1, 0, 9, 17],\n [0, 0, 13, -13, 7, -3, -22, 13, 0],\n [0, 0, 0, -8, 5, 18, 16, -2, 0],\n [0, 0, 0, 0, 3, 1, 20, 1, 14],\n [0, ... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-23, 15, 4, 7, 14, -17, 16, 7, 13],\n [17, 17, 23, -20, 6, -2, -21, -6, -9],\n [24, 9, -15, 5, -24, -17, 20, -25, 0],\n [-24, -12, 24, 15, 21, -25, 11, 17, 12],\n [-14, 13, 8, 10, 6, -17, 19, -9, 10],\n [2, -20, 24, -25, -1, -14, 19, -15, -1],\n [14, 10, 1... | 716 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-1, 11, 14, 12, 8, 6, -6, -2, 8],\n [11, 23, 8, -14, 16, 14, 2, 4, 2],\n [14, 8, 4, -13, -12, -4, 20, -8, -2],\n [12, -14, -13, 6, 3, 14, 8, 3, -19],\n [8, 16, -12, 3, 2, 14, -14, -11, -3],\n [6, 14, -4, 14, 14, 18, -6, 4, 1],\n [-6, 2, 20, 8, -14, -6, -13... | 276 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[3, -7, 19, 24, 23, 7, 19, -17, 18],\n [0, -12, 7, -22, -10, 4, -21, 18, -12],\n [0, 0, 16, -25, 10, -13, -7, -22, 1],\n [0, 0, 0, 21, 25, 11, -16, -1, -5],\n [0, 0, 0, 0, -11, -19, 25, 13, 2... | 880 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-20, 11, -14, 4, 0, 20, -8, -14, -14],\n [11, 8, -8, 18, -12, -11, -8, 3, -18],\n [-14, -8, -25, 4, 10, 11, -6, 18, -10],\n [4, 18, 4, -15, 4, -2, 8, 14, -18],\n [0, -12, 10, 4, 2, -4, 17, 1, -4],\n [20, -11, 11, -2, -4, -7, 16, 12, -16],\n [-8, -8, -6, 8,... | 584 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-18, -23, -20, 17, 15, -1, -17, 9, -16],\n [-19, -22, -11, -10, 9, -2, 0, 7, 10],\n [6, 1, 7, 22, 0, -16, -9, -5, 11],\n [3, 20, 22, -18, 6, 11, -22, -11, 2],\n [14, -14, 21, -24, 3, -9, 17,... | 208 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[4, 2, -13, -18, -8, 6, 2, -2, 10],\n [2, 11, -5, 12, -15, 0, -11, 4, -3],\n [-13, -5, -25, -2, -11, 0, 0, 2, 6],\n [-18, 12, -2, 18, 2, -6, -16, 20, -4],\n [-8, -15, -11, 2, -16, 15, -14, -5, -8],\n [6, 0, 0, -6, 15, 14, -6, -4, -5],\n [2, -11, 0, -16, -1... | 238 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[20, 1, -25, -2, -13, -13, -24, -4, 2],\n [18, 7, 15, -23, -23, -16, -20, 15, 6],\n [-15, -8, 11, 22, -6, 5, -17, -21, 6],\n [-7, -7, 1, 10, 13, -17, -17, 5, -11],\n [-11, 12, -12, 18, -19, -... | 212 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-15, -8, 12, -13, 4, -3, -25, 12, -17],\n [6, 12, -19, -13, -19, 22, 23, 20, 14],\n [-8, -9, -2, -17, -6, 5, -1, 10, 13],\n [-11, 11, 7, -9, -25, 23, -14, 24, -13],\n [-21, -14, 23, -14, -9, 15, -24, 25, 4],\n [-10, -24, -19, -11, -12, -16, 5, -6, -7],\n [20, -14,... | 425 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-10, -21, 2, 19, 9, 2, 15, 13, 15],\n [0, -1, -19, 20, -9, -6, -18, -15, -10],\n [0, 0, 1, 9, 10, 13, -20, 2, 7],\n [0, 0, 0, 25, 22, -12, 8, -4, 11],\n [0, 0, 0, 0, 25, 23, 24, 15, -5],\n [0, 0, 0, 0, 0, 14, 11, -12, 3],\n [0, 0, 0, 0, 0, 0, -6, -17, -21... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[2, 25, -16, -23, -9, 12, 5, 5, 5],\n [0, -5, -18, -18, 5, 10, 3, -2, 21],\n [0, 0, 18, -10, -2, 19, 16, 3, 17],\n [0, 0, 0, 23, 14, -17, -22, 12, -3],\n [0, 0, 0, 0, 13, -22, 23, -7, 23],\n [0, 0, 0, 0, 0, -25, 13, 12, 0],\n [0, 0, 0, 0, 0, 0, -22, -18, 0],\n [0, ... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[5, -6, 10, 2, -8, -6, 4, -2, 12],\n [-6, 14, -10, -1, -10, 4, 1, 10, -22],\n [10, -10, -16, -2, -18, -11, -2, -4, 21],\n [2, -1, -2, 12, -1, 4, -8, 0, 2],\n [-8, -10, -18, -1, 2, 6, 14, -11, 2],\n [-6, 4, -11, 4, 6, -13, -4, 14, 0],\n [4, 1, -2, -8, 14, -... | 600 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[1, -23, -9, 3, 21, -14, -3, 16, -3],\n [0, -13, -11, 4, -22, -19, 12, 20, 1],\n [0, 0, 25, -8, 23, -17, 10, -24, -8],\n [0, 0, 0, -23, 0, 6, 5, -15, -2],\n [0, 0, 0, 0, -22, -15, -24, -21, 9],\n [0, 0, 0, 0, 0, 16, 12, 7, -3],\n [0, 0, 0, 0, 0, 0, -4, 11, -13],\n ... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-3, -14, -6, -4, -10, 16, -18, -8, 3],\n [-14, 6, 0, -4, -14, -13, -6, 1, 4],\n [-6, 0, -17, 4, 12, -16, 4, 15, -2],\n [-4, -4, 4, 15, 0, 8, 14, 16, -16],\n [-10, -14, 12, 0, 6, 6, -16, 6, -2],\n [16, -13, -16, 8, 6, -11, 23, 18, 4],\n [-18, -6, 4, 14, -1... | 920 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[12, 2, 6, 3, -5, 3, 13, 15, 5],\n [0, -18, 1, -3, -13, -3, 10, 23, -10],\n [0, 0, -2, -25, 21, -11, 2, 9, -5],\n [0, 0, 0, 14, 23, 8, 15, -6, -10],\n [0, 0, 0, 0, 11, -13, -5, 12, 15],\n [0, 0, 0, 0, 0, -8, 12, -19, 21],\n [0, 0, 0, 0, 0, 0, 1, -15, 10],\n... | 64 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[19, -21, 11, 22, 13, -9, -5, -4, -11],\n [-22, -23, 14, -5, -19, -15, -5, -24, 8],\n [14, 23, 1, -5, 14, -18, -25, 21, -2],\n [10, -21, -14, -14, 7, 2, -16, -2, -5],\n [1, -8, 0, 22, 11, -18... | 172 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[20, -20, 4, 3, 13, 18, 2, -16, 11],\n [0, -20, 17, 18, 24, 11, 7, 12, -2],\n [0, 0, 4, -8, -2, 19, 18, 11, 22],\n [0, 0, 0, -14, -8, -12, 5, -6, -6],\n [0, 0, 0, 0, 14, -18, 16, -1, 2],\n [0, 0, 0, 0, 0, 20, 3, -14, 23],\n [0, 0, 0, 0, 0, 0, 12, 16, 18],\... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-18, -19, -1, 19, 9, 8, 8, 4, -3],\n [0, -25, 8, -24, -17, 3, -2, -2, 13],\n [0, 0, 10, -10, 10, 16, 12, 1, 13],\n [0, 0, 0, 13, 19, -10, -4, 25, -11],\n [0, 0, 0, 0, -20, -17, 12, 14,... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[13, -8, 11, 4, 2, -11, 6, 3, 6],\n [-8, -10, -8, 1, 7, -3, -20, -9, 8],\n [11, -8, -2, 2, 2, -2, -6, 14, 3],\n [4, 1, 2, -7, 2, -8, -19, -3, -5],\n [2, 7, 2, 2, -15, 0, -13, -7, 0],\n [-11, -3, -2, -8, 0, -12, 2, -2, -3],\n [6, -20, -6, -19, -13, 2, -6, -1... | 100 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[8, -19, -3, -20, 12, -5, -12, 14, -21],\n [-4, 18, -19, -12, 1, -24, 18, 4, 19],\n [-8, -6, 5, -1, -24, -5, -6, -18, -5],\n [6, -16, -20, 21, -8, 14, -19, 19, 22],\n [-12, -1, -24, -9, 13, -5, 8, 7, 12],\n [17, 17, -21, 12, 8, 25, 13, -24, -1],\n [-20, 5, ... | 537 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[3, 0, -11, -4, 1, -11, 20, -2, -1],\n [0, 20, 3, -12, -3, -3, 12, 2, -15],\n [-11, 3, -3, 9, 0, 0, -5, -16, -20],\n [-4, -12, 9, -6, 19, 10, 8, -14, -2],\n [1, -3, 0, 19, 4, 18, 6, -1, 4],\n [-11, -3, 0, 10, 18, 16, -12, -1, -7],\n [20, 12, -5, 8, 6, -12, ... | 41 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-8, -1, 8, 3, 2, 0, -1, -4, -3],\n [-1, 0, -4, 16, -5, -22, 4, 22, 2],\n [8, -4, -10, 10, 4, 6, -1, 0, -13],\n [3, 16, 10, -24, 6, -20, 10, 4, 10],\n [2, -5, 4, 6, -2, 2, 4, -10, 14],\n [0, -22, 6, -20, 2, -13, 4, -13, -6],\n [-1, 4, -1, 10, 4, 4, 8, -18, ... | 291 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-14, -5, -2, -23, -16, -12, 24, 16, 25],\n [0, 10, -12, -2, 21, -7, 10, -1, 23],\n [0, 0, 9, 17, 7, -24, -17, -4, -13],\n [0, 0, 0, -18, -14, 20, 11, -9, 9],\n [0, 0, 0, 0, -13, -25, -17, 11... | 480 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[2, -11, -16, -10, 0, 16, -2, 10, 6],\n [-11, -10, -15, -20, -2, -8, 0, 12, 8],\n [-16, -15, 13, 14, 8, 4, 7, -1, 8],\n [-10, -20, 14, 10, 21, -14, -17, 0, 4],\n [0, -2, 8, 21, -3, 3, -4, 5, 1],\n [16, -8, 4, -14, 3, 9, 8, -14, -4],\n [-2, 0, 7, -17, -4, 8,... | 272 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[24, 16, -4, -12, -24, 0, 0, 14, 8],\n [16, 2, 1, 8, -10, 6, -8, -7, 7],\n [-4, 1, 13, -7, 6, 6, -3, -16, 14],\n [-12, 8, -7, 17, -6, -14, -2, -9, 16],\n [-24, -10, 6, -6, 13, -14, 9, -1, 6],\n [0, 6, 6, -14, -14, 23, -20, 14, 14],\n [0, -8, -3, -2, 9, -20, 7, -8, ... | 276 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, -10, -18, 0, -9, 1, -5, 15, 2],\n [-10, -7, -14, 14, 2, -3, 11, -4, -6],\n [-18, -14, -4, 5, 5, 1, -4, 6, -4],\n [0, 14, 5, 10, -6, -16, -1, 8, 24],\n [-9, 2, 5, -6, 2, 4, -2, 3, -4... | 621 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[23, 23, 20, -12, 12, -14, -3, 17, 19],\n [0, -3, 19, -22, 17, -17, -6, -4, 22],\n [0, 0, 18, 15, -25, -10, -9, -5, 6],\n [0, 0, 0, 20, 25, 11, -24, 15, -14],\n [0, 0, 0, 0, 10, 9, 13, 0, -18],\n [0, 0, 0, 0, 0, -18, -6, -7, -25],\n [0, 0, 0, 0, 0, 0, 15, 2... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[20, 8, 11, 11, 15, 1, -3, 8, -1],\n [5, -12, -25, 2, -23, 10, -25, -20, -10],\n [23, -3, 17, -25, 9, -17, -15, -3, 23],\n [-5, -21, -17, -21, -22, 1, 5, 14, 12],\n [20, 25, -3, 23, -4, -22, ... | 875 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[22, 21, -16, 1, -1, 17, -24, -7, 23],\n [0, 12, -17, -5, 23, 1, -19, 12, 17],\n [-4, 15, -12, 3, -16, 24, -3, -15, 4],\n [11, 24, -24, 0, -20, 16, 18, 23, -19],\n [-24, 18, -20, -19, 7, -8, ... | 468 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[25, 3, 0, -12, 11, -8, 1, 1, -4],\n [3, -8, 2, 15, -2, -10, -2, 11, 0],\n [0, 2, 1, -12, 8, 6, -6, -5, -2],\n [-12, 15, -12, -9, 0, 4, 0, 10, -8],\n [11, -2, 8, 0, 6, 4, -6, 10, 12],\n [-8, ... | 935 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[4, -11, -1, 22, 2, 22, -2, 24, 14],\n [0, -5, 10, -23, -12, -3, -10, 20, 0],\n [0, 0, -13, 5, 17, -23, 25, -3, 9],\n [0, 0, 0, -13, 0, 1, -14, 13, 19],\n [0, 0, 0, 0, -9, -18, -16, 1, 9],\n [0, 0, 0, 0, 0, -5, 18, -20, -15],\n [0, 0, 0, 0, 0, 0, -15, -1, 6],\n [0,... | 500 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[5, -7, 8, 22, -20, 12, 4, -13, 7],\n [14, -5, 11, -3, 5, -12, 4, -12, -21],\n [-15, 24, 23, 18, -15, -16, 2, -3, -18],\n [5, 16, 4, -11, -2, 0, 9, 5, 0],\n [-22, -10, -1, -14, -10, 20, -24, 7, -6],\n [22, -19, -19, 15, -19, -19, 21, -21, 9],\n [-5, -24, -... | 284 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[21, -23, -2, -20, 2, -19, 19, -2, -9],\n [-7, -12, 21, -6, -11, 7, 21, -20, -20],\n [-14, -22, 25, 19, 20, 21, -5, -20, -3],\n [4, -8, 20, 3, -6, -19, 14, 25, -13],\n [-2, -22, 22, 11, 4, 11, -14, 24, 17],\n [-11, -14, -3, 0, 1, 3, 22, 18, 9],\n [18, -8, ... | 756 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-14, 13, 4, 23, -5, 6, -16, -25, -21],\n [0, -18, 11, -1, -22, -8, -24, -12, -4],\n [0, 0, 19, 24, -17, -11, -7, -6, 21],\n [0, 0, 0, 9, -9, 14, 20, 7, 20],\n [0, 0, 0, 0, -23, -3, -21, 1, 4],\n [0, 0, 0, 0, 0, 10, 23, -19, 2],\n [0, 0, 0, 0, 0, 0, 10, 12... | 600 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[13, -1, 0, 0, -10, -16, 4, 3, -4],\n [-1, -17, -2, 22, 1, -14, 15, -16, 12],\n [0, -2, -2, 14, -4, 20, -8, 9, 6],\n [0, 22, 14, 10, 12, 0, -3, 6, -2],\n [-10, 1, -4, 12, 2, 2, -8, 14, -8],\n... | 174 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[0, -20, -6, 0, 0, -3, -17, -12, 18],\n [-20, 18, -4, 13, 4, -5, -10, -7, 10],\n [-6, -4, 12, 24, -18, 15, -20, -16, -14],\n [0, 13, 24, 5, 14, -16, -2, 8, 3],\n [0, 4, -18, 14, 8, -8, 11, 2, 8],\n [-3, -5, 15, -16, -8, 10, 6, -5, 16],\n [-17, -10, -20, -2, 11, 6, ... | 956 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[17, 19, -18, -19, 2, -3, 3, -3, -6],\n [0, -20, -5, 21, -6, -19, 6, -7, 5],\n [0, 0, -5, 23, 0, -16, 3, -21, 6],\n [0, 0, 0, 9, 15, 19, 19, 20, -23],\n [0, 0, 0, 0, -6, 12, 10, 9, -2],\n [0, 0, 0, 0, 0, -13, -24, 19, -10],\n [0, 0, 0, 0, 0, 0, -17, -14, -1... | 200 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-10, 14, -10, 5, -19, 4, 0, -24, 14],\n [0, 1, -7, 11, -16, 18, -13, -7, 6],\n [0, 0, 6, 12, -23, -9, 16, 8, 17],\n [0, 0, 0, -21, -17, -24, 19, 2, -4],\n [0, 0, 0, 0, -16, -7, 16, 19, -24],... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-15, 20, -16, -3, -1, 18, 2, 0, 6],\n [20, -17, 0, -18, -5, 14, -2, 16, 12],\n [-16, 0, 4, 9, -15, -4, -16, 0, 12],\n [-3, -18, 9, -10, 13, 2, 10, 1, -14],\n [-1, -5, -15, 13, 13, 16, 13, -6, -2],\n [18, 14, -4, 2, 16, 21, 8, -6, -7],\n [2, -2, -16, 10, 1... | 770 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-23, -10, -12, 16, 10, -17, 12, 9, 15],\n [-10, 14, -8, 12, -15, -6, 12, -2, 8],\n [-12, -8, 3, 13, -7, -20, 6, 14, -8],\n [16, 12, 13, -21, -13, -2, -12, 7, -8],\n [10, -15, -7, -13, -5, -4, -14, 11, -6],\n [-17, -6, -20, -2, -4, -23, 4, 7, 0],\n [12, 12, 6, -12,... | 703 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[19, -2, 12, -25, 14, 13, 5, 8, -15],\n [-12, 6, 21, -9, 21, 13, -19, 23, -3],\n [7, -14, 8, 16, 15, -25, 19, -18, -3],\n [16, 18, -7, -9, -10, -11, 11, 9, 22],\n [-1, -23, -19, -5, -22, 15, 12, -14, 12],\n [7, -15, -24, -15, -1, -11, 3, 18, -9],\n [-23, -... | 629 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[22, 0, -14, -5, 23, 22, -16, -22, 12],\n [0, 9, 8, -25, 13, 2, 7, -3, 9],\n [0, 0, 8, 12, -12, -12, 16, -20, -22],\n [0, 0, 0, -18, 17, 24, -19, -8, -17],\n [0, 0, 0, 0, -9, -18, 5, -3... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-6, -20, 9, -4, -19, 17, -8, -20, -21],\n [-22, 9, -17, -2, -4, 9, 25, -25, -19],\n [-6, 18, 19, -18, -25, -23, -7, 17, 13],\n [1, 19, 19, 23, 4, 18, 23, 23, 23],\n [10, 23, 12, -4, -3, -20, 8, 23, -15],\n [20, -11, 20, -10, 10, 21, 9, -1, 6],\n [-20, -5, ... | 198 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[5, 13, 1, 13, -12, 22, 25, 1, 16],\n [19, -1, -14, 3, 22, 23, -2, -14, -17],\n [-3, 9, -5, 25, -23, -19, 12, -11, 1],\n [19, -14, 15, -20, 25, -23, 25, 11, 8],\n [7, 25, 6, -2, 1, 10, -1, -4... | 664 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[3, 3, -6, 4, -18, 6, 15, -2, -2],\n [3, 3, -4, -16, 8, 18, -6, 14, -2],\n [-6, -4, -15, -14, -22, -12, 1, -2, 0],\n [4, -16, -14, -25, -9, -2, 2, -4, 6],\n [-18, 8, -22, -9, -5, 18, 24, -4, 0],\n [6, 18, -12, -2, 18, 25, -2, -3, -19],\n [15, -6, 1, 2, 24,... | 312 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[6, 4, 10, 0, 3, 15, -2, 5, 9],\n [4, 24, 2, -16, 8, -6, 4, -6, 0],\n [10, 2, 19, -6, 4, -2, -10, -1, -2],\n [0, -16, -6, -6, 0, 0, 0, 15, 0],\n [3, 8, 4, 0, 21, 4, -11, 16, 16],\n [15, -6, -... | 432 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[10, -7, 2, -6, 22, -10, 14, -4, 12],\n [-7, 25, 1, -8, 12, -8, -8, -2, 12],\n [2, 1, -21, -6, -8, -10, -9, -9, 13],\n [-6, -8, -6, 25, 8, -12, 2, 8, 14],\n [22, 12, -8, 8, 3, -21, -10, -4, 10],\n [-10, -8, -10, -12, -21, -20, 14, 2, -4],\n [14, -8, -9, 2,... | 52 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-23, 8, 1, -18, -1, -6, -18, 9, 11],\n [-3, -6, -7, 8, 10, -12, 12, 24, -25],\n [-9, 4, -1, -10, -5, 19, 3, 13, -9],\n [7, 5, -2, -24, 15, 2, 20, 23, -11],\n [-5, 8, 7, 11, -4, 2, -8, -6, -22],\n [-14, -13, -21, -10, -20, -9, 14, -10, 0],\n [-6, 25, 12, 14... | 473 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-4, 2, 15, -20, -9, 3, -6, 11, 16],\n [0, -9, 11, -2, 3, -19, -5, -13, 21],\n [0, 0, 5, 7, -24, -5, 11, 1, 11],\n [0, 0, 0, 21, -19, -7, -19, 4, -4],\n [0, 0, 0, 0, -23, -25, -24, 24, 16],\n [0, 0, 0, 0, 0, -7, -20, -14, 21],\n [0, 0, 0, 0, 0, 0, -1, 1, 4... | 240 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[6, -11, -8, -2, -4, 16, -10, -9, -9],\n [0, 8, -7, -6, -22, -14, 16, 17, -6],\n [0, 0, 17, 16, 22, -22, -10, -15, 18],\n [0, 0, 0, -11, 5, -18, -11, 24, 9],\n [0, 0, 0, 0, 7, -16, 12, 1, 7],\n [0, 0, 0, 0, 0, 14, 13, 0, 25],\n [0, 0, 0, 0, 0, 0, -2, -2, -... | 440 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[18, 22, 11, 24, -21, -21, 0, -18, 16],\n [22, -25, 25, -20, -4, -3, -8, -7, 6],\n [-13, 10, -7, -8, -22, 25, 13, -10, 16],\n [-3, 3, -19, -18, 5, 21, 16, -14, -23],\n [-10, 8, -16, -23, 1, -5, 25, -19, -15],\n [-20, 14, -9, 23, 18, -25, -8, -16, -16],\n [... | 713 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[2, -7, -3, 5, -2, 19, 19, 20, 6],\n [0, 12, 8, 8, -25, 13, -2, 10, -5],\n [0, 0, 17, 3, 7, 14, -21, -22, 18],\n [0, 0, 0, -3, 4, 18, 23, -25, 20],\n [0, 0, 0, 0, 6, 6, 22, -23, 22],\n [0, 0, 0, 0, 0, -13, -6, 24, 23],\n [0, 0, 0, 0, 0, 0, -22, -25, -6],\n [0, 0, 0... | 912 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[11, 20, -24, -18, -8, -15, 22, 1, -4],\n [13, 25, 11, -6, 25, -3, 4, -2, 24],\n [6, -4, 20, -1, 6, 16, -9, 11, 1],\n [5, 11, 23, 2, -21, 10, -17, 2, 20],\n [16, -13, 20, 12, -25, -1, -... | 684 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[13, 20, 16, 18, 2, -10, -8, -2, 1],\n [20, 15, -8, 8, -8, 0, 6, 0, 14],\n [16, -8, 15, -3, -4, 15, 12, -6, 9],\n [18, 8, -3, -14, -15, -18, -12, 8, 22],\n [2, -8, -4, -15, -21, -2, 0, -3, 8],\n [-10, 0, 15, -18, -2, -10, 16, -2, -16],\n [-8, 6, 12, -12, 0, 16, 8, ... | 260 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[6, -1, -7, 5, 16, 5, 4, -10, 0],\n [-1, -8, -4, -1, 4, -12, -18, -2, 16],\n [-7, -4, 25, -10, -4, 1, 13, 8, 10],\n [5, -1, -10, -20, 9, 16, -14, 3, 16],\n [16, 4, -4, 9, -20, -16, -20, -2, -4],\n [5, -12, 1, 16, -16, -2, -2, 4, 0],\n [4, -18, 13, -14, -20, -2, 2, ... | 840 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[15, 16, 17, -15, 25, 2, -2, -18, 13],\n [-14, 20, -9, -5, -25, 15, -14, -15, 14],\n [8, 19, 10, -23, -20, 11, -4, 16, 25],\n [22, 0, -7, -16, -2, 6, -20, 14, 9],\n [12, 25, -7, 25, 17,... | 578 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-13, 22, 25, -12, 0, -12, 0, -20, 14],\n [21, -11, 25, 17, 25, 4, -1, -24, -3],\n [-11, -5, -21, 9, 0, -14, 11, 6, 21],\n [-20, -9, -13, -24, 12, 13, 14, 13, -9],\n [24, 21, -5, 2, -15, -14, -18, 0, -16],\n [-3, -23, 16, 2, 25, 10, -7, -1, -11],\n [-12, -... | 945 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-6, 22, 17, 21, 3, 7, -11, 17, -17],\n [0, 10, -25, -9, 25, 7, -1, 20, -25],\n [0, 0, 14, -3, -15, -21, -22, -7, -5],\n [0, 0, 0, 5, 3, -17, 3, 16, -6],\n [0, 0, 0, 0, -15, -10, 19, 8, -11],\n [0, 0, 0, 0, 0, -12, 8, -6, -3],\n [0, 0, 0, 0, 0, 0, 8, 21, -1... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-2, 10, -14, 10, 4, -20, -25, 25, 3],\n [9, 14, 18, 21, -12, -23, -17, -21, 2],\n [-3, -23, 17, -3, -3, 4, 16, 24, -6],\n [-25, 3, 5, -9, 2, -21, 21, -14, 21],\n [20, -21, -10, -10, 9,... | 549 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-4, -21, 3, 3, -11, 9, 7, -7, 2],\n [0, -18, 17, -9, 18, 18, 5, 14, -25],\n [0, 0, -5, 15, 6, -3, 13, 12, 20],\n [0, 0, 0, 23, 25, 2, -24, 17, 9],\n [0, 0, 0, 0, 7, 13, -1, -25, -22],\n [0, ... | 800 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[6, -17, 24, 9, 12, -25, 22, 8, 17],\n [13, -11, -3, -3, 15, -16, 3, 8, -14],\n [7, 20, -22, 18, -21, 14, -11, -12, -24],\n [-1, -11, 11, 7, 1, 10, -13, 1, -10],\n [9, -11, 11, -22, -12, 15, -3, 14, 8],\n [-1, -15, 1, 13, 19, -5, 14, 22, -9],\n [-7, 1, -5,... | 227 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-18, -25, -22, -2, -20, -12, 5, 15, -2],\n [-23, -15, 3, -8, 23, -2, 4, 25, 20],\n [-1, 9, -10, -2, 23, 16, 19, -16, 14],\n [-8, -13, -10, 2, 2, -13, -20, -13, 17],\n [-12, 1, -24, -10, 9, -4, -18, 12, -18],\n [5, -18, -15, 10, -9, -2, 13, 9, -19],\n [-1, ... | 316 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[17, 6, -3, 20, 5, 11, -12, -4, -20],\n [6, -1, -4, 16, -14, -9, 0, 4, -4],\n [-3, -4, 2, 4, 7, 0, -2, 6, -6],\n [20, 16, 4, 12, 8, 0, -18, -2, 11],\n [5, -14, 7, 8, 10, -13, 6, -6, 6],\n [11, -9, 0, 0, -13, -24, 12, 4, 18],\n [-12, 0, -2, -18, 6, 12, -9, 1... | 95 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-16, 14, -1, 11, -8, -9, 0, 3, 8],\n [14, -21, 10, 10, 22, 16, -2, -6, 5],\n [-1, 10, -23, -18, -17, -4, -18, 0, -6],\n [11, 10, -18, -12, -3, 8, 4, -17, -18],\n [-8, 22, -17, -3, 9, 0... | 564 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-22, 4, 12, 16, -9, -6, 20, -2, 8],\n [4, -6, -5, 0, 10, 6, -10, -20, -1],\n [12, -5, -4, -21, -7, 6, -20, 24, -8],\n [16, 0, -21, -24, -16, -14, 10, -10, 11],\n [-9, 10, -7, -16, -14, 10, -2, -11, -22],\n [-6, 6, 6, -14, 10, 17, 0, -4, -17],\n [20, -10, -20, 10, ... | 804 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[20, 24, -6, 9, 0, -17, 24, 8, 21],\n [0, 20, -21, -2, 10, 14, -20, 18, -19],\n [0, 0, -7, -11, -13, -22, 10, -10, -16],\n [0, 0, 0, 11, 24, 10, 14, 1, 11],\n [0, 0, 0, 0, -4, -2, 18, -15, -20],\n [0, 0, 0, 0, 0, 4, -3, 25, 11],\n [0, 0, 0, 0, 0, 0, -11, -10, 3],\n... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-22, 12, -25, -11, 16, -16, 16, -1, 12],\n [0, 17, -9, 6, -22, 19, 24, -3, -5],\n [0, 0, -24, 16, -16, 21, 1, -20, 18],\n [0, 0, 0, -5, 9, 15, -14, 24, -4],\n [0, 0, 0, 0, -5, -25, -1, 17, 15],\n [0, 0, 0, 0, 0, 22, 7, 23, 24],\n [0, 0, 0, 0, 0, 0, -1, 16... | 800 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[18, 3, -6, -16, 5, 13, -20, 25, 10],\n [-2, 11, 21, 7, 3, 21, 21, -13, 18],\n [-11, -11, -15, 11, 24, 18, -15, 6, -2],\n [-16, -6, 16, 9, 17, -8, 25, -5, 16],\n [-6, 18, -10, 25, 1, -2, -15,... | 221 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[15, -19, 22, 17, 18, -2, -9, -1, 16],\n [4, -25, 11, 20, 15, -7, 3, 20, 13],\n [25, -13, -23, 3, 24, 7, -25, 19, -8],\n [-1, -20, 9, -24, 10, -12, -1, -7, -17],\n [-12, -19, 4, 16, -9,... | 358 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[18, 21, 6, 1, -25, 8, -18, 7, -4],\n [0, 20, -12, 11, -4, 5, 19, -2, 9],\n [0, 0, 15, -18, 0, 22, 20, -4, 3],\n [0, 0, 0, 7, -1, 15, -1, -24, 14],\n [0, 0, 0, 0, 18, -15, -24, -14, -21],\n [... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-24, 21, -2, 24, -9, -23, 7, -19, -8],\n [0, -16, 14, 3, 4, -1, -20, 7, 6],\n [0, 0, -23, -16, 2, 15, 6, 25, 18],\n [0, 0, 0, -13, 5, -15, 2, 2, 11],\n [0, 0, 0, 0, -11, -20, 12, -15, 9],\n ... | 960 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[20, 8, 24, -24, -12, 12, -10, 0, 1],\n [8, -20, -7, 3, -22, 4, -2, -12, 4],\n [24, -7, 7, -6, -12, 2, -2, -2, -6],\n [-24, 3, -6, 21, 0, 12, 1, 0, -2],\n [-12, -22, -12, 0, 24, 0, -2, 2, -12],\n [12, 4, 2, 12, 0, 10, -2, 9, 1],\n [-10, -2, -2, 1, -2, -2, -... | 752 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-4, -19, -19, 23, -12, -17, -20, 9, -17],\n [0, -8, 18, -10, -8, 12, -5, 9, -13],\n [0, 0, 12, 21, -24, -18, -4, 13, -4],\n [0, 0, 0, -9, 10, 17, 12, -15, 13],\n [0, 0, 0, 0, 5, 13, 17, 0, 24],\n [0, 0, 0, 0, 0, 23, -13, -13, 17],\n [0, 0, 0, 0, 0, 0, 19, ... | 240 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-6, 5, 0, 16, 4, 4, -2, -2, -10],\n [5, -6, -2, -16, 18, 6, 0, 6, -6],\n [0, -2, 20, -16, 12, -8, -16, -8, 0],\n [16, -16, -16, -15, -4, -3, -12, -4, 4],\n [4, 18, 12, -4, 5, 14, 17, 20, -4],\n [4, 6, -8, -3, 14, -22, 1, 0, 3],\n [-2, 0, -16, -12, 17, 1, ... | 40 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[15, -10, 12, -11, -22, -12, -2, 18, -6],\n [-10, -18, 8, 8, -10, -14, -12, -14, -5],\n [12, 8, -15, -11, -10, 12, -16, 2, -8],\n [-11, 8, -11, -22, 6, -10, 10, 0, 2],\n [-22, -10, -10, 6, -25, -8, -4, -1, 8],\n [-12, -14, 12, -10, -8, 5, -2, 2, -10],\n [-2... | 352 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-13, 12, -5, 10, -14, 12, -15, 0, -21],\n [12, -13, 6, -4, -16, -8, -13, -2, 2],\n [-5, 6, -4, -2, 0, 2, 0, 16, 14],\n [10, -4, -2, 1, 8, 14, -9, -18, 6],\n [-14, -16, 0, 8, 4, 0, 18, ... | 776 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-2, -11, 10, 4, 16, -6, -16, -3, 14],\n [0, -15, 12, -9, -6, 1, 10, 1, 2],\n [0, 0, 8, -19, -6, 18, -18, 0, 12],\n [0, 0, 0, 8, -5, 20, 24, 5, -5],\n [0, 0, 0, 0, -10, -24, 2, -8, -17],\n [0... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[0, -4, -14, 1, -13, -11, -14, 8, 10],\n [-4, -24, -22, 9, -4, 22, -10, -13, -8],\n [-14, -22, 22, -10, 11, -6, -2, 13, -2],\n [1, 9, -10, -18, 1, 0, 4, 12, -7],\n [-13, -4, 11, 1, -19, -16, -5, -17, -4],\n [-11, 22, -6, 0, -16, 5, 8, 4, -20],\n [-14, -10, ... | 845 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-15, 13, -25, 1, 6, 0, 15, -22, 14],\n [21, -21, 24, 12, -10, -4, 24, -22, 15],\n [-21, 6, -1, 17, 8, 22, -12, 18, 18],\n [-2, 12, 21, -15, 11, 15, 15, 20, 7],\n [24, -21, -5, 13, 19, -24, 24, -22, -5],\n [-19, 20, -19, -5, -9, -14, -8, 15, -3],\n [-9, -3, -1, 4, ... | 708 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-11, 22, -3, 22, 18, -13, 2, -14, 19],\n [0, 15, -15, 0, -3, 11, 20, 24, -4],\n [0, 0, -12, -17, -23, 18, 21, -8, 2],\n [0, 0, 0, -24, 5, 13, 6, -22, 5],\n [0, 0, 0, 0, 4, -18, -1, -20, -17],\n [0, 0, 0, 0, 0, -8, 16, 5, -4],\n [0, 0, 0, 0, 0, 0, 24, 12, ... | 120 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[6, -18, 13, 8, -10, -12, 14, 7, 0],\n [-18, -17, -10, 2, -7, -12, -6, 0, -10],\n [13, -10, -13, -7, 10, 18, 12, 2, 0],\n [8, 2, -7, 6, -7, 2, 5, -18, 15],\n [-10, -7, 10, -7, 0, 4, 8, 6, 2],\n [-12, -12, 18, 2, 4, 5, 6, -22, 2],\n [14, -6, 12, 5, 8, 6, -1... | 838 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[11, -21, 25, 7, 23, 2, 18, 16, -22],\n [0, 18, 14, -5, -10, 6, -8, 18, -17],\n [0, 0, 13, 23, -13, -14, 17, -22, 0],\n [0, 0, 0, 8, -19, -22, 6, -25, 11],\n [0, 0, 0, 0, 4, -3, 12, -23, -20],\n [0, 0, 0, 0, 0, 8, 8, -9, 1],\n [0, 0, 0, 0, 0, 0, 4, -16, -16],\n [0,... | 576 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[10, 21, 17, -24, -5, 23, 5, -18, 0],\n [11, -2, 18, 1, -13, 21, -19, 21, 20],\n [8, -3, 21, 19, -10, 6, -14, -14, 23],\n [-17, -9, 21, 2, -1, 16, -10, -3, 23],\n [-12, -9, -2, -7, -18,... | 96 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-25, 14, -4, -7, -8, 6, 2, 1, -25],\n [14, -1, 6, -16, 0, 0, 12, 8, 19],\n [-4, 6, -20, 5, 0, 24, -13, 16, -10],\n [-7, -16, 5, 21, 1, 10, 4, -12, -10],\n [-8, 0, 0, 1, 0, -16, -2, -15, 14],\n [6, 0, 24, 10, -16, -8, 7, 20, -6],\n [2, 12, -13, 4, -2, 7, -... | 67 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[9, -3, -11, 13, 8, -16, 7, -11, -2],\n [-5, 19, 8, 21, 5, 21, -7, 12, 18],\n [3, 4, -14, 12, -12, -3, -24, 16, -3],\n [-17, 4, 23, 17, 7, -17, 0, -4, 20],\n [2, 5, 24, 7, -2, -11, -15, -14, ... | 284 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[16, -24, -21, 10, -15, 16, 9, -2, 18],\n [-16, 20, 6, 25, 25, -23, 10, 25, 17],\n [9, 5, 16, 9, -19, 23, -13, -10, -24],\n [-4, 10, -12, 19, 8, -14, -10, 22, -25],\n [-23, 14, 22, -5, 24, -21, -13, -13, -19],\n [0, 19, 24, -11, 0, 10, 14, -2, -11],\n [-23, 5, -9, ... | 747 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[0, -20, 20, 14, 16, 24, -25, 7, -17],\n [-1, 24, -19, -15, -20, 7, 4, 19, 24],\n [4, -12, -21, 6, -2, -5, 1, -4, -12],\n [5, 17, -17, -7, 12, 21, -3, -25, -17],\n [17, -9, 19, -8, 11, ... | 224 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[10, 4, 12, -4, -6, -6, 14, 10, 1],\n [4, -9, 20, -12, 0, -13, 8, -9, -2],\n [12, 20, 19, -13, 0, 7, 12, -20, 4],\n [-4, -12, -13, 15, 8, -15, -8, 0, -8],\n [-6, 0, 0, 8, -1, -7, -12, 16, 15],\n [-6, -13, 7, -15, -7, -7, 6, 4, 16],\n [14, 8, 12, -8, -12, 6, -22, 0,... | 552 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.