messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-11, 25, 8, 5, 8, 24, -3, -29, 12, -15],\n [0, -11, -28, -17, -3, -4, 12, 9, 10, -9],\n [0, 0, 14, -28, 21, -4, -18, 22, -25, -16],\n [0, 0, 0, -15, -28, -30, 9, 16, -14, 7],\n [0, 0, 0, 0, ... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[21, 27, -28, -20, 25, -12, -15, -9, 13, -29],\n [-29, -25, -14, 22, 8, 15, 9, -22, 19, 2],\n [14, 18, 24, 16, -17, 21, 8, 18, 9, -25],\n [-20, 16, -5, -2, 27, 8, 27, 13, -27, 30],\n [-4, -11, -2, 16, 25, 2, -7, -23, 1, -11],\n [9, 3, 18, 13, -21, -9, 19, -... | 860 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-7, 6, -18, 29, 12, 16, 12, 0, 23, -21],\n [0, -11, 19, 29, 23, 13, -3, 3, 27, 9],\n [0, 0, 20, -15, 23, -5, 22, 12, 6, 10],\n [0, 0, 0, -13, 29, 29, -28, 15, 20, -17],\n [0, 0, 0, 0, -28, -1, -6, 8, 9, 22],\n [0, 0, 0, 0, 0, 27, 12, 18, 2, -15],\n [0, 0, ... | 480 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-13, -10, 14, -20, -14, -6, -23, -15, 12, 3],\n [-10, -28, 14, -16, -26, -9, 2, 4, 2, 2],\n [14, 14, -5, -17, 6, -2, -20, -18, 16, 26],\n [-20, -16, -17, 10, 16, -8, -18, 4, -8, -12],\... | 419 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-12, -15, 19, 29, -10, 23, -22, 20, -29, -11],\n [0, -20, 29, 3, -13, -6, -17, -4, 16, -26],\n [0, 0, -8, 13, 10, 10, 25, -29, 13, 2],\n [0, 0, 0, 29, 9, -12, 10, 18, -3, 2],\n [0, 0, 0, 0, -15, -30, 16, -20, 14, -11],\n [0, 0, 0, 0, 0, -29, -15, 17, 15, 1... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-29, 17, 5, 26, 10, -7, -12, -24, -22, -18],\n [0, 2, 21, -3, 7, 9, -2, 1, -25, 16],\n [0, 0, -9, -14, -1, -15, 30, -8, -8, -12],\n [0, 0, 0, 14, 12, 26, -27, 19, 30, -3],\n [0, 0, 0, 0, -9, 13, -6, -24, -28, 18],\n [0, 0, 0, 0, 0, -5, 4, 17, -23, -26],\n ... | 380 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-6, 4, -16, 8, 30, 21, -18, 15, -5, -20],\n [-2, 22, 12, 0, -13, -5, 20, -8, 29, -13],\n [-30, -23, -4, -11, -3, 12, 12, -2, 21, 19],\n [4, 28, 23, -11, -10, 15, -23, -20, 12, 25],\n [-2, 17, -9, 13, 7, 27, -16, -25, -28, -7],\n [12, -27, -11, 29, -23, -1,... | 957 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[15, 10, -16, 22, -2, -9, 18, 21, 7, -16],\n [10, -19, 6, -4, -16, 9, 13, 17, 8, -25],\n [-16, 6, -30, 17, -4, -20, -4, 17, -14, 12],\n [22, -4, 17, 2, -18, -8, -12, -19, -2, -12],\n [-2, -16, -4, -18, 19, 3, 14, 3, 0, -13],\n [-9, 9, -20, -8, 3, -25, 4, 7,... | 615 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-11, -4, 17, 22, 10, 16, 4, 15, 0, -11],\n [-4, -3, 2, -5, 11, 6, 6, 0, -12, -18],\n [17, 2, -21, 13, 5, -6, 27, 10, -10, -14],\n [22, -5, 13, -8, -24, -17, -19, 4, 0, -4],\n [10, 11, 5, -24, 8, 18, 4, 6, -21, 9],\n [16, 6, -6, -17, 18, -8, -12, 26, 12, -2],\n [4,... | 748 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, -26, -8, -11, -12, 17, 1, 3, -6, 17],\n [0, -1, -8, 10, -7, 6, 13, -24, -16, 0],\n [0, 0, 20, 11, 8, 30, -13, 28, 9, -12],\n [0, 0, 0, 14, 29, -22, 23, -11, 0, 19],\n [0, 0, 0, 0, 4, 13,... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-25, 10, -19, -21, -17, -6, 23, -13, 21, 2],\n [-24, -26, -30, -27, 19, -22, -15, 17, 14, 6],\n [10, -18, 20, -7, 19, -17, -24, -8, -24, 29],\n [-16, 11, 7, -10, 22, 21, 26, -24, -2, 4],\n [19, 16, 27, -25, 12, -2, 1, -19, -17, -4],\n [-1, 5, -9, 7, -7, 17, 2, -6,... | 389 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-27, 18, 16, -4, -26, 18, 8, 8, 2, 6],\n [18, -29, -1, 4, 15, 21, -10, -4, -17, 14],\n [16, -1, 7, -8, -24, -23, 20, -3, 0, -2],\n [-4, 4, -8, -19, -6, 12, -4, 7, -8, 18],\n [-26, 15, -24, -6, 10, -8, 12, -4, -12, -30],\n [18, 21, -23, 12, -8, 27, -2, 8, -... | 905 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[10, -10, 6, 0, 16, 0, -28, 2, -1, 2],\n [-10, -25, -14, -5, 24, -7, -20, 12, 9, 14],\n [6, -14, -13, -14, 1, -2, 20, -20, 26, 7],\n [0, -5, -14, -13, -2, -16, -18, 0, -10, -25],\n [16, 24, 1, -2, 24, 0, 7, -8, -8, -2],\n [0, -7, -2, -16, 0, 16, -10, -16, 2... | 42 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-18, -4, -9, -23, 2, 13, 1, -17, 14, 23],\n [0, -23, 20, 19, -18, -7, -16, -6, -20, -23],\n [0, 0, -20, -7, 12, 6, 20, -16, 18, 28],\n [0, 0, 0, 7, 0, 21, 10, 20, 11, -10],\n [0, 0, 0, 0, -1... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-20, -8, 2, -13, 24, 4, -10, -8, 11, 8],\n [-8, 6, -6, 20, -2, -20, -20, 10, 20, 5],\n [2, -6, -22, 10, -6, 5, 7, 1, 10, -1],\n [-13, 20, 10, -18, 6, -10, -2, 18, 12, -11],\n [24, -2, -6, 6,... | 990 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[7, 12, 8, 28, 24, 4, -2, -9, -8, 5],\n [12, -4, 16, 8, 7, 0, 2, 6, -2, 7],\n [8, 16, 0, 2, 6, -2, -15, 0, 10, 6],\n [28, 8, 2, 28, -12, -20, -10, 8, -12, 20],\n [24, 7, 6, -12, 3, 9, 0, 12, -22, -26],\n [4, 0, -2, -20, 9, -2, -16, -2, 3, 5],\n [-2, 2, -15, -10, 0,... | 128 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[15, -3, -10, -25, -8, -5, -11, -6, 0, -10],\n [-3, -8, -20, 8, -16, 24, -16, -4, 8, 4],\n [-10, -20, -8, 14, -2, -6, 14, 8, 0, 5],\n [-25, 8, 14, -17, -4, 9, -8, -2, -22, -10],\n [-8, -16, -... | 650 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-3, -12, 0, -12, -8, 22, 22, -7, -2, -17],\n [-12, 2, 4, 19, -2, 22, -6, 24, 12, -3],\n [0, 4, 11, 12, -8, -14, -4, -23, 13, -2],\n [-12, 19, 12, 11, -15, -14, 12, 5, 9, 2],\n [-8, -2, -8, -15, 3, -14, 12, 6, 22, 10],\n [22, 22, -14, -14, -14, -6, -4, 6, ... | 403 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-11, -27, -30, -23, 22, 24, -3, 19, 5, 20],\n [29, 24, -26, -16, 4, -29, 4, 28, 26, -6],\n [-10, -5, 29, 2, -15, 24, -3, 0, -27, -28],\n [25, -7, -1, -26, -4, -27, 4, -22, 13, -16],\n [1, -10, 14, 5, 19, -13, -13, -2, -19, -25],\n [-21, 23, 8, -15, -23, -... | 580 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[23, 25, 8, 14, -16, -9, -5, 14, -4, 16],\n [25, -7, 2, -18, -10, -6, 18, -18, -20, -3],\n [8, 2, 6, 26, -5, -22, 10, -7, 8, 5],\n [14, -18, 26, 13, 20, 20, -8, -1, -6, 6],\n [-16, -10, -5, 20, -4, 4, -14, -14, -14, -26],\n [-9, -6, -22, 20, 4, -30, 0, -4, ... | 743 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[29, 8, -17, -14, -29, -18, 19, 26, -28, 5],\n [22, -10, 2, 15, -24, 25, -29, -26, 22, 1],\n [26, 23, 30, -2, 1, 4, 24, 22, -4, 4],\n [-1, -18, -9, 13, 16, 14, -24, -11, 5, 16],\n [-10,... | 782 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-9, -4, -6, 4, 8, 2, 29, 28, 24, 17],\n [0, -1, -1, -27, -30, 3, 14, -2, 10, -17],\n [0, 0, 30, 28, 14, -24, 7, -8, 2, -17],\n [0, 0, 0, 3, 14, -11, -13, 7, 29, -2],\n [0, 0, 0, 0, 13, 17, 14, -15, -18, -10],\n [0, 0, 0, 0, 0, 28, -20, 28, 4, 14],\n [0, 0, 0, 0, 0... | 800 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-21, -22, 12, -2, -24, -24, 9, 8, -30, -27],\n [0, -27, -28, 19, 6, 25, -9, -18, -24, 16],\n [0, 0, 29, -27, -16, -20, -2, 24, 4, 2],\n [0, 0, 0, -30, -14, -18, -26, 7, -12, -4],\n [0, 0, 0, 0, 9, -9, 4, 25, 24, 23],\n [0, 0, 0, 0, 0, 12, 27, -25, 30, 15],... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[19, 25, -26, -27, -11, -26, -24, 16, -29, -25],\n [0, -18, -14, -21, -1, 22, 2, 11, -25, 16],\n [0, 0, -4, -2, 8, -22, -4, 22, -11, -21],\n [0, 0, 0, -5, -7, 23, 20, -16, -24, -9],\n [0, 0, 0, 0, 11, 26, -5, -10, -27, 23],\n [0, 0, 0, 0, 0, -10, 18, 29, 10... | 600 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-18, -24, 4, 24, -30, -27, -29, -18, -18, 26],\n [2, -3, -16, -25, 30, 18, 13, 25, -25, 17],\n [-10, 16, -2, -14, 5, 23, 26, 24, 19, -3],\n [-29, -20, -8, -26, 6, 22, -18, -22, -8, 17]... | 623 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-19, -2, -9, -18, -21, 24, -22, 2, -6, 1],\n [-2, -15, -3, 4, 0, 20, 2, 0, 12, -16],\n [-9, -3, -22, 20, 22, -22, 4, -8, -4, 2],\n [-18, 4, 20, 9, -16, -22, -22, 20, -2, -17],\n [-21, 0, 22, -16, 22, 7, -4, 28, -6, -14],\n [24, 20, -22, -22, 7, 3, -16, -4... | 284 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, -27, -14, 27, 3, 12, -9, -16, 19, -4],\n [-5, 19, 22, 16, -10, 0, -15, 4, -26, -20],\n [-6, 22, 7, 20, -15, 28, -7, -27, 12, 25],\n [-27, -30, -8, -11, 29, 18, -11, 11, -13, -20],\n [-2, -20, -22, -25, -14, -17, 10, 29, 18, 24],\n [30, 12, -21, -14, -15, 21, 6,... | 665 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-10, -2, -6, -6, 6, -2, -7, -10, 6, -4],\n [-2, 22, -20, 14, 2, -10, -18, -14, -30, 2],\n [-6, -20, 7, 1, 6, -6, -8, 10, -2, 26],\n [-6, 14, 1, -27, -8, 18, 10, 6, -5, 4],\n [6, 2, 6, -8, 23, -9, 9, -4, 25, -18],\n [-2, -10, -6, 18, -9, 9, 26, 26, -14, -23... | 316 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-16, 27, 27, -7, 28, -26, 22, -20, 5, -11],\n [6, -5, 22, -27, 16, 18, -29, 24, 14, 5],\n [10, -1, 21, 29, -7, -16, -20, -24, -15, -5],\n [-24, -13, -4, -23, -1, 7, 0, 25, -22, -2],\n [-28, ... | 922 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[19, -18, -13, -4, -11, 27, 19, -23, -25, 28],\n [0, 25, -3, 5, 16, -21, 0, -4, 24, -25],\n [0, 0, 19, -6, 25, -30, 20, -1, 7, 30],\n [0, 0, 0, 14, 13, -26, -5, 2, 11, -1],\n [0, 0, 0, 0, 22, 13, 4, -10, 15, -13],\n [0, 0, 0, 0, 0, -27, 1, -14, 29, -29],\n... | 600 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-4, -21, -11, 11, 7, 17, 28, -26, -10, -14],\n [15, -26, -3, 5, 7, -22, 16, 22, 0, 4],\n [-26, 18, -6, -30, -18, -7, -18, -16, -21, 22],\n [17, -28, -17, -24, -3, -29, -11, -1, 10, -26... | 842 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[26, 4, -1, -20, 27, 12, 22, 6, 20, 0],\n [4, -9, -6, 17, -12, -3, -11, -14, -6, 6],\n [-1, -6, 27, -11, -2, 12, -6, 18, 18, -2],\n [-20, 17, -11, 28, -22, -3, 2, 8, -2, 17],\n [27, -12, -2, -22, 30, -19, -15, -2, 18, -4],\n [12, -3, 12, -3, -19, 20, -4, 4... | 144 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-1, -9, 24, -14, 23, -7, -14, -21, -29, -23],\n [-10, -7, 24, 19, -29, -6, 24, 2, -2, -3],\n [29, 1, -14, 15, -23, -23, 15, 12, -8, -23],\n [-6, -2, -22, -20, -2, -30, 10, 15, 8, 3],\n [14, 11, 27, 26, -19, -22, -17, 20, -23, 5],\n [-7, -17, -23, 9, -29, ... | 985 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[13, 16, 2, 10, 2, 8, -8, -10, -4, 26],\n [16, 10, 12, 12, -12, 16, -8, 4, 5, -15],\n [2, 12, -11, 20, 16, -16, 4, 15, 12, -13],\n [10, 12, 20, 30, 4, -1, 6, 10, -2, -24],\n [2, -12, 16, 4, 4... | 5 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[21, 14, -3, 9, 12, 9, 19, -11, 9, -9],\n [22, -21, 28, 11, 11, 13, 4, -2, -6, -3],\n [-30, 21, -4, 23, -19, -26, 29, -10, -21, 18],\n [-15, -22, 3, 0, -21, 24, 29, -17, 18, 0],\n [25, 4, 24,... | 217 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-25, 2, -1, -23, 4, 10, 6, -6, 0, 1],\n [2, -26, 5, -24, 16, 6, 0, 5, 24, -4],\n [-1, 5, 7, 12, -2, 6, -20, 11, -17, -4],\n [-23, -24, 12, -7, -11, -15, 2, 8, -4, -4],\n [4, 16, -2, -11, -26... | 120 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[4, -25, -12, -3, -15, -26, -2, -25, 2, -15],\n [0, -6, 2, -28, -7, -20, 3, -13, -20, 23],\n [0, 0, -8, -18, 9, -6, 17, -17, 7, 30],\n [0, 0, 0, 20, -19, 18, 0, 22, -21, -25],\n [0, 0, ... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-22, 7, 1, 3, -14, -4, 0, 8, 20, 10],\n [7, -14, -9, -8, -21, 24, 17, -4, 6, -9],\n [1, -9, -2, 5, 20, 6, 14, 16, 0, -8],\n [3, -8, 5, -3, -24, -2, 24, -20, -10, -6],\n [-14, -21, 20, -24, -25, 16, 8, -10, -2, -2],\n [-4, 24, 6, -2, 16, -2, -19, 10, 15, -18],\n [0... | 408 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[17, 30, -11, 18, 13, 4, -26, 28, 7, 10],\n [0, 30, 23, -24, -9, -18, 28, -7, 14, -23],\n [0, 0, 9, -22, 28, -14, 28, -21, -9, 20],\n [0, 0, 0, -15, 24, -22, 12, 21, -26, 16],\n [0, 0, 0, 0, -23, 14, 21, 19, 15, -12],\n [0, 0, 0, 0, 0, -18, 13, 30, -7, 6],\n [0, 0,... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-15, -2, 6, -22, -16, 8, 6, -14, 10, -16],\n [-2, -10, 6, 24, 10, 6, 12, 12, -12, -10],\n [6, 6, -25, 4, 0, 2, -17, 3, -9, 9],\n [-22, 24, 4, 22, 16, 12, 16, -12, 0, -3],\n [-16, 10, 0, 16, -27, -2, 2, -12, -1, -12],\n [8, 6, 2, 12, -2, -25, 1, 17, -26, -1... | 924 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[4, -17, 0, -2, -18, 5, 22, 11, -2, -3],\n [-17, -14, -16, 14, 10, -12, 24, 2, 16, -6],\n [0, -16, 16, 13, -17, -2, 8, -14, 17, -9],\n [-2, 14, 13, 21, -10, 2, 3, -12, 6, 14],\n [-18, 1... | 129 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[7, -2, 18, -8, 8, 8, -15, 0, 4, 18],\n [-2, 3, -8, -6, -12, 0, -14, 10, -4, -16],\n [18, -8, -28, -1, 22, -4, -10, 20, 17, 15],\n [-8, -6, -1, 10, 5, 16, 12, 6, 20, 6],\n [8, -12, 22, 5, -19, -24, 22, -4, -17, 12],\n [8, 0, -4, 16, -24, 2, -23, -7, 2, 14]... | 122 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[30, -5, 27, -16, 27, 15, -26, 16, -19, -27],\n [-4, -3, -13, 25, 10, 19, -3, -22, 2, 23],\n [-3, -29, 28, 15, -4, -11, 16, 12, -7, -19],\n [17, 6, 21, -9, 22, 7, -20, 7, 27, 30],\n [-18, 4, 12, -3, 30, 0, -3, 16, 30, 29],\n [9, -24, -15, 9, -3, -22, 26, -2... | 86 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[8, 11, -5, -10, -4, 19, -27, -24, 18, -26],\n [-22, 11, -3, -20, 27, -24, -2, -18, 28, -16],\n [-8, 16, 7, 21, 23, 16, -4, -5, 18, -5],\n [-26, 25, 14, 13, -16, 22, -15, -16, -2, 7],\n [10, -5, 24, -2, -12, 25, -24, 11, -20, -7],\n [-19, -5, 3, -2, -30, -... | 848 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-21, -30, -27, -19, 10, 16, 2, 26, -19, -10],\n [0, -22, -20, -7, -30, 28, -17, 18, -18, 15],\n [0, 0, 4, -22, 8, 9, 16, -18, -4, -9],\n [0, 0, 0, 4, 20, -5, -2, 24, 20, 10],\n [0, 0, ... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-14, -22, 29, -12, 13, -26, 3, -24, -20, 5],\n [12, -19, 25, 21, 18, -15, 19, 1, 29, 5],\n [2, 3, -20, -30, -24, 4, 21, -10, 30, 23],\n [-13, -24, 24, -12, -10, -14, 29, -22, 30, 13],\n [11, 19, -10, 3, 4, -4, -7, -26, 26, -14],\n [10, -25, -2, -19, -25, -10, -1, ... | 665 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-18, -20, 18, -10, -14, 6, 8, -2, 17, 28],\n [-20, -29, 9, 2, -3, -8, -13, -9, 8, 14],\n [18, 9, -16, -12, 0, -2, 20, 0, 12, 0],\n [-10, 2, -12, -28, -2, -1, 1, 4, 6, 0],\n [-14, -3, 0, -2, -10, -9, 18, 22, 6, 15],\n [6, -8, -2, -1, -9, -7, 17, 4, -14, -20],\n [8,... | 700 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[28, -23, -26, 7, -23, 17, -16, -21, 27, 3],\n [0, 3, 4, -23, 11, 6, -27, 0, 21, 11],\n [0, 0, 29, 4, -11, -30, 24, 12, 25, 21],\n [0, 0, 0, 3, -5, -29, 22, 25, -15, -25],\n [0, 0, 0, 0, 6, 9, 21, 25, -13, 3],\n [0, 0, 0, 0, 0, 16, 22, 4, 10, -14],\n [0, 0, 0, 0, 0... | 368 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[5, 11, 23, 3, -29, 4, -14, 4, -12, -30],\n [-25, 15, -12, 30, 6, -20, 29, -29, -9, 12],\n [-2, 16, 3, -18, -27, -4, -5, 18, 7, -3],\n [13, -24, -5, 13, 4, 26, -24, -24, 0, -12],\n [-1, -16, -10, -20, -30, 15, 4, 21, -15, -23],\n [-1, 16, -15, 4, 7, 28, -30, -30, 7... | 179 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-10, 8, -28, 24, -28, -15, 15, -10, 28, 21],\n [0, -18, -1, 29, 22, -10, 6, -23, -12, -19],\n [0, 0, -1, -24, -9, 30, 27, -19, -9, 2],\n [0, 0, 0, 12, -12, 5, 8, -3, -5, -26],\n [0, 0, 0, 0, -7, -14, -10, -4, -3, 28],\n [0, 0, 0, 0, 0, -29, -25, -10, 27, 6],\n [0,... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-12, -27, 14, 10, 4, -14, 9, 3, 26, 22],\n [0, -19, -7, 23, -22, 9, 4, 13, -26, -9],\n [0, 0, -5, 8, -17, -25, -3, -6, -13, -23],\n [0, 0, 0, -18, -18, 20, -21, -28, -3, -9],\n [0, 0, 0, 0, -2, 3, -10, 30, 10, 8],\n [0, 0, 0, 0, 0, 27, -6, -26, 11, -23],\... | 800 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[5, 6, -26, -21, -10, 17, -10, -7, 17, 19],\n [0, 17, 14, 0, 18, 30, 24, 5, -2, -8],\n [0, 0, 20, -29, -14, 29, -23, 17, 23, -15],\n [0, 0, 0, 28, 4, 18, -18, 30, 23, 13],\n [0, 0, 0, 0, -20, 8, 7, -24, -10, 26],\n [0, 0, 0, 0, 0, -5, 3, -30, 22, 26],\n [0,... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-10, 9, 18, 22, -12, -18, -23, 15, 13, -1],\n [-10, -23, -26, -23, 23, 10, 19, 29, 1, -26],\n [8, 29, -29, -15, 0, -26, 30, -24, 6, -18],\n [-25, 15, -27, 26, -19, -21, 20, -17, -7, 20],\n [27, -17, 0, -15, 12, -18, -2, -23, 18, -16],\n [30, -19, -6, 8, 2,... | 382 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[21, -25, 7, 11, 0, -17, 26, 5, -2, -9],\n [0, 4, -14, -30, 28, -1, -30, 6, -17, -21],\n [0, 0, -26, 3, 14, -10, 27, 4, 8, 15],\n [0, 0, 0, -15, 14, -10, 22, 19, 26, -7],\n [0, 0, 0, 0, -1, 27, 30, -16, -18, -8],\n [0, 0, 0, 0, 0, -26, 26, 2, -14, -23],\n [... | 640 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-29, 18, -27, -14, 4, -10, -4, -20, -4, -2],\n [18, 14, 15, -10, -24, 26, 12, -6, 6, 22],\n [-27, 15, 12, 6, -10, -6, 26, -10, 10, 2],\n [-14, -10, 6, 22, -22, 8, -20, 28, 0, -9],\n [4, -24, -10, -22, 7, -2, 10, -6, -4, -12],\n [-10, 26, -6, 8, -2, -13, 14, -10, 2... | 356 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-13, -5, -26, 8, -6, 0, -1, -5, -20, -4],\n [0, 16, 19, -26, 2, 27, 26, 15, 18, -24],\n [0, 0, 29, 7, 30, -25, 6, -23, -8, 24],\n [0, 0, 0, 3, -7, -17, -2, -21, -24, 6],\n [0, 0, 0, 0, -12, -27, -19, -4, 22, -30],\n [0, 0, 0, 0, 0, -4, 30, -20, -24, 1],\n... | 152 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-29, -16, 17, 22, 20, -24, -15, 0, -18, 7],\n [-16, -15, 1, 16, 17, 22, 8, 12, 8, 9],\n [17, 1, -21, -4, 6, 2, -25, -5, -8, 6],\n [22, 16, -4, 23, 6, -9, -10, 16, -22, 22],\n [20, 17, 6, 6, 16, 24, 22, -8, -24, -20],\n [-24, 22, 2, -9, 24, -17, -4, 0, -10,... | 600 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, -24, 11, 14, 17, 15, 4, -13, 4, 6],\n [-24, 27, 8, 15, 23, 1, 1, -7, -6, 2],\n [11, 8, -26, -14, 16, -22, -16, 26, 26, 13],\n [14, 15, -14, 12, 2, -24, 12, -4, 3, 18],\n [17, 23, 16... | 655 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[26, 16, 0, -18, -14, -29, 11, 22, 29, 21],\n [0, -7, -21, -3, -6, 29, -23, -13, 0, 11],\n [0, 0, -15, -6, -15, -18, 13, -12, 28, 24],\n [0, 0, 0, 26, -8, 27, 2, 9, 5, -11],\n [0, 0, 0,... | 600 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-30, -14, 16, -1, 11, -3, -15, -24, -7, -11],\n [0, 24, -24, -6, 26, -20, 25, 9, 26, -9],\n [0, 0, -10, 15, -6, 21, -10, -13, 14, -22],\n [0, 0, 0, -5, 16, -3, 17, 13, 10, 2],\n [0, 0, 0, 0, -13, -8, 1, -16, -1, 0],\n [0, 0, 0, 0, 0, -4, -15, 9, 28, -5],\n... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[27, -22, 0, -28, 0, 29, 4, 11, 12, -13],\n [-13, -6, -30, 9, 25, 10, -7, 24, 10, 26],\n [-27, -1, -11, -24, -8, 5, 18, 27, -2, 11],\n [-16, 26, 25, 26, 22, 26, -14, -30, 18, -12],\n [8, -7, -1, -2, 21, -13, -7, -5, 13, 17],\n [-15, 15, 18, 18, 10, 21, 1, -... | 268 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[19, -22, 14, 29, 7, 22, -10, 11, 15, -29],\n [-24, -20, 15, -23, 28, -24, 15, 28, -26, 22],\n [25, 0, -19, -20, 30, 30, 29, 19, 5, -21],\n [-1, -10, -29, -14, 26, -12, 12, 27, -12, 14],\n [-2, -13, 30, 12, -12, -28, 20, -2, 2, 15],\n [24, -4, 12, -25, -13, 24, 5, ... | 525 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[9, -12, -9, -1, 5, 25, 28, -9, -2, -15],\n [0, 26, -15, -4, 4, -4, 20, 18, -12, -1],\n [0, 0, -10, 26, -22, -12, -9, -9, 6, -17],\n [0, 0, 0, -4, 27, -20, -30, -25, -18, -3],\n [0, 0, 0, 0, -27, 6, -22, -20, 24, 15],\n [0, 0, 0, 0, 0, -6, 10, -8, 9, -2],\n... | 680 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[28, -11, -28, 19, 6, 4, -16, -14, 5, -8],\n [0, -12, -8, 10, 4, -20, -12, -22, 28, -27],\n [0, 0, -8, 27, 7, 24, 27, 28, 6, 22],\n [0, 0, 0, 9, 4, -25, 3, 19, 29, 16],\n [0, 0, 0, 0, 7, 10, 3, -21, 1, 20],\n [0, 0, 0, 0, 0, 13, -12, 16, 2, -27],\n [0, 0, 0... | 112 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[4, -6, -8, 12, 19, 11, -1, 6, 20, 14],\n [-6, 15, -18, 23, -23, 10, -11, -19, 4, 16],\n [-8, -18, -5, -6, 13, -10, 5, -20, 11, 3],\n [12, 23, -6, -27, 0, -23, 20, 6, 0, 25],\n [19, -23... | 229 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-21, 8, -14, 0, -18, 14, -2, -12, 16, -10],\n [8, -18, -13, -17, 18, 12, 4, 6, -4, -13],\n [-14, -13, 19, -10, 0, 6, 0, 4, 5, -10],\n [0, -17, -10, 4, 7, -18, 2, 14, -13, 8],\n [-18, 18, 0, ... | 303 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-2, 16, 21, 29, 8, -5, 8, -30, -23, -24],\n [-2, -26, 1, 9, -21, 24, -20, -15, 8, -8],\n [10, 12, -26, -11, -29, -30, -22, 17, 17, 12],\n [4, 3, 2, -17, 2, 10, -26, 7, 11, 25],\n [9, -19, -3, 30, -21, 25, -19, -25, -23, -6],\n [-16, -8, 23, -11, 4, 23, 17... | 509 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[27, -7, -5, -13, 21, 3, -3, 2, 16, -25],\n [0, -26, 7, -1, -3, 0, 25, 3, 11, 16],\n [0, 0, -7, -12, 3, -5, 17, -10, -25, -30],\n [0, 0, 0, -29, -7, -14, -30, 24, -30, 3],\n [0, 0, 0, 0, -24, 2, -17, 24, -12, -10],\n [0, 0, 0, 0, 0, -14, -26, -28, 1, 2],\n [0, 0, 0... | 800 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-13, -4, 11, 18, 19, 23, -25, -8, -15, 16],\n [-14, 20, 23, -26, -1, -15, -23, 17, -18, -15],\n [-19, -29, 15, -25, -16, -27, -25, -15, -22, 14],\n [-25, -10, -1, -2, 6, 5, 30, -18, -20, 6],\n [27, 28, -25, -13, 27, -1, 20, 26, -8, -5],\n [14, 19, -21, 8, ... | 933 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[22, -28, -1, -29, 27, -4, 28, 21, 14, -11],\n [-2, 9, -12, -22, 7, 12, 9, 28, 29, -14],\n [2, 3, 18, -26, -25, 7, -1, 8, -10, 24],\n [-29, 7, 24, 17, -22, -2, -21, -14, 14, -29],\n [16, -14, 19, 27, -26, 16, -6, -6, -10, 18],\n [-11, -24, -14, -10, -20, -... | 560 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-18, 25, -4, 8, -4, -10, -2, 30, 8, -14],\n [25, 26, 1, 3, 4, -6, -14, 0, 13, -14],\n [-4, 1, -24, -9, -4, 14, 6, 13, 14, 2],\n [8, 3, -9, 6, 16, -8, -14, 12, -5, 2],\n [-4, 4, -4, 16, -3, 0... | 760 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, 5, 24, -22, -1, 2, 0, 30, -22, 28],\n [0, 3, -17, 10, 6, -28, -22, 6, 26, -9],\n [0, 0, 30, -1, 25, 18, -21, -27, 13, -15],\n [0, 0, 0, 6, -6, 23, 11, -10, 4, 18],\n [0, 0, 0, 0, -1... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-30, 0, 2, 0, 10, -18, 6, -22, -18, 16],\n [0, 17, 3, 20, -16, 4, -13, -1, 22, -10],\n [2, 3, 25, -14, 14, -6, -11, 14, 8, -12],\n [0, 20, -14, 0, -8, 12, 8, 20, 5, -16],\n [10, -16, 1... | 909 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-21, 15, -1, -1, 5, -1, -4, -8, 10, 12],\n [18, 28, 21, -18, 30, -14, -25, -7, 30, -13],\n [-20, -17, 30, 4, -10, 14, 16, -5, 11, -14],\n [20, 20, 10, -4, -28, -19, -6, -13, 29, 5],\n [26, 9, 30, -23, 28, 19, -16, -19, 18, 24],\n [8, 0, 3, 12, 13, -20, -11... | 965 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[11, 12, 6, 16, 1, 22, 4, 28, -4, -10],\n [12, 18, 22, 22, 16, -8, 14, -18, 18, -26],\n [6, 22, -22, -26, 0, 27, 0, -12, 0, -8],\n [16, 22, -26, 29, -14, -14, -7, 12, -16, 17],\n [1, 16, 0, -14, -4, 12, 9, -11, -2, -14],\n [22, -8, 27, -14, 12, 24, -20, -18, 8, 10]... | 700 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[13, -14, -20, -10, -24, -18, -5, 21, -29, -5],\n [0, -3, 2, 3, -22, -13, 20, -19, 19, -8],\n [0, 0, 19, -26, -4, -9, 17, 17, 21, -25],\n [0, 0, 0, 12, -26, -9, 3, 17, -8, -10],\n [0, 0, 0, 0, 20, -6, 26, 30, 0, -4],\n [0, 0, 0, 0, 0, -29, -27, 2, -16, -18]... | 400 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-23, -25, -9, -3, -28, 1, 5, 5, -20, 3],\n [0, -29, -12, -8, -20, -18, -9, 4, 5, -7],\n [0, 0, 3, 25, 22, -19, 25, -10, -30, 16],\n [0, 0, 0, 5, 18, 16, 11, 0, 12, -9],\n [0, 0, 0, 0, -24, -... | 400 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-8, -20, -14, -2, 2, -18, -21, 2, -3, 1],\n [-20, -1, -10, -12, -8, 17, -2, 0, -1, -15],\n [-14, -10, 11, -2, -17, -16, -5, 14, -30, 2],\n [-2, -12, -2, 3, 0, 9, 0, 9, -3, -10],\n [2, -8, -17, 0, -17, -8, 1, 20, 11, 8],\n [-18, 17, -16, 9, -8, -1, -13, 6,... | 887 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-3, -5, 27, -10, 8, 5, 0, 24, 26, -6],\n [-5, -1, 23, 6, 6, -1, -10, -19, -21, -24],\n [27, 23, -1, -10, 2, 13, -15, 13, -10, -9],\n [-10, 6, -10, 22, 4, -19, -20, 4, 17, -21],\n [8, 6, 2, 4, -11, 18, -2, 14, -16, 17],\n [5, -1, 13, -19, 18, 27, -24, 0, 0, 10],\n ... | 537 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[23, 13, -3, -11, 29, -17, -16, -25, 1, 10],\n [0, -3, 22, -22, -25, 16, -4, -19, -12, 8],\n [0, 0, -14, 28, 17, 20, -17, 6, -19, -24],\n [0, 0, 0, -18, -28, -7, -12, 20, -1, 15],\n [0, 0, 0, 0, 4, 10, 1, 21, 24, -11],\n [0, 0, 0, 0, 0, 16, -4, -17, 16, 10]... | 520 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-18, 25, 27, -10, -13, -30, -21, 28, 3, -12],\n [0, -21, 24, 26, 12, -1, -14, -30, -16, -3],\n [0, 0, -20, -4, -14, -30, -30, 9, -8, -14],\n [0, 0, 0, -9, -11, 1, -7, 10, 6, -2],\n [0, 0, 0,... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[16, 6, 8, -22, -5, -11, -5, -2, 9, 13],\n [0, 12, -6, -5, -28, -2, -1, 20, 7, -29],\n [0, 0, -10, 14, -6, -7, 4, -6, 14, -13],\n [0, 0, 0, -23, -22, -21, -16, 19, 26, -29],\n [0, 0, 0, 0, -1... | 80 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[20, -2, 12, 10, 7, 6, 2, -29, -23, -14],\n [6, -8, 14, -9, -22, -15, -18, -30, -19, 8],\n [18, -13, -5, -29, 22, -15, -28, -11, 29, -7],\n [-21, 3, 14, -18, -8, -3, -26, -13, -7, -5],\n [-10, 27, 5, 16, 13, 30, 30, 6, -24, 28],\n [-9, -19, -4, 6, 3, 8, 13, -26, -2... | 317 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-18, 10, 19, 19, 1, -25, -29, 12, -6, -12],\n [-21, -15, 26, -29, 16, 25, -20, -10, 29, -2],\n [30, 13, -12, 17, 1, 17, 25, -21, 14, -24],\n [-11, 7, -14, -19, 19, -5, -26, 0, 8, 30],\n [-20... | 333 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-17, -22, 12, 28, -11, -24, -4, -8, -10, -10],\n [-22, -7, 2, 2, 28, -22, -14, 4, -2, 10],\n [12, 2, 15, 20, 10, -4, 17, 1, -10, 10],\n [28, 2, 20, 4, -12, 12, -13, -8, 6, 24],\n [-11, 28, 1... | 834 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, -29, 29, 8, 3, -4, -13, -28, 7, -23],\n [0, 20, 6, 1, 8, 6, 12, 6, -9, -6],\n [0, 0, 24, 21, 17, 26, -25, 26, 27, -7],\n [0, 0, 0, -22, -8, -17, -28, -28, -27, 12],\n [0, 0, 0, 0, -9, 6,... | 400 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[19, 0, 0, 1, 10, -3, 8, -12, -6, 14],\n [0, 3, -12, 6, 2, -6, -18, 4, 10, 10],\n [0, -12, -21, 4, 4, 10, -20, -16, 24, -7],\n [1, 6, 4, 2, 21, -12, 10, -4, -8, 4],\n [10, 2, 4, 21, 16,... | 732 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-26, 25, -28, 26, 19, 8, -19, -3, -26, -16],\n [0, 23, 13, -8, -10, -2, -25, 30, 28, 29],\n [0, 0, -16, -17, 27, 13, -13, 30, 11, 2],\n [0, 0, 0, 1, -22, -8, -4, 7, 10, -21],\n [0, 0, 0, 0, -7, -23, -11, -16, 26, 16],\n [0, 0, 0, 0, 0, 5, 5, 29, 14, -10],\n [0, 0,... | 200 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[17, -18, -30, 12, 13, -14, -15, 16, -27, -6],\n [-26, 7, -15, -15, 23, -10, 21, 7, -8, -30],\n [-6, -24, 3, -12, 16, 16, 8, -27, -13, -27],\n [28, -19, -25, -14, 11, 12, 22, -1, -12, 29],\n ... | 166 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[24, 0, -3, 14, -25, 20, -20, -8, -26, -6],\n [0, -22, 14, -9, 20, 17, 6, 1, 4, -18],\n [-3, 14, 8, -7, -6, -24, 2, -16, -10, -2],\n [14, -9, -7, -8, 0, -1, -11, -21, 8, 24],\n [-25, 20, -6, ... | 90 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-20, 6, 4, -2, -14, 4, 3, 20, -22, -18],\n [6, 1, -11, -5, 16, -2, 0, 18, 12, -11],\n [4, -11, -10, 4, -14, 12, -10, 10, 22, -10],\n [-2, -5, 4, 5, -12, 12, 22, -16, 15, 10],\n [-14, 16, -14, -12, -26, 8, 8, 20, -6, 9],\n [4, -2, 12, 12, 8, 16, 11, 6, 12, 24],\n [... | 700 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[15, 12, 15, 8, -2, -9, -3, -10, 9, 14],\n [12, 0, -6, -6, 0, 16, 6, -2, 3, -2],\n [15, -6, 23, -23, 2, 8, 16, -8, 13, -16],\n [8, -6, -23, 20, 7, 26, 24, -5, -7, 12],\n [-2, 0, 2, 7, -6, 22, 14, 23, -4, 22],\n [-9, 16, 8, 26, 22, -4, 16, -24, 18, -9],\n [-... | 552 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[17, -7, -17, 14, -30, 4, 27, -15, -3, -4],\n [-28, -10, 19, 7, -7, 20, 14, 0, -5, -3],\n [12, -14, 3, 11, 10, 10, -15, -6, -20, -15],\n [10, -26, -12, -2, -18, -10, -4, -5, -26, -12],\... | 14 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[19, -10, -30, 20, 22, -10, 9, -9, -11, 26],\n [0, -29, 9, -23, -19, -16, 11, -13, -24, 11],\n [0, 0, -30, -25, -30, 10, 6, -15, -20, 28],\n [0, 0, 0, -26, -5, -28, -5, 11, 10, -11],\n [0, 0, 0, 0, 26, 19, 0, -27, 10, -7],\n [0, 0, 0, 0, 0, 21, 0, -1, -3, -... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-2, 15, 26, 4, 18, 30, -23, 20, 19, 23],\n [0, -12, 22, -19, 13, 26, -19, 13, -17, -5],\n [0, 0, 6, -27, -8, 23, 29, 23, 3, 16],\n [0, 0, 0, 23, -10, 9, -21, 8, -6, 10],\n [0, 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[[17, 4, -20, -29, 6, -30, 27, -3, 17, 26],\n [-26, -14, 30, -20, -3, 26, 23, -8, 1, -17],\n [-24, -6, -2, 2, 5, 30, -19, 24, -6, 17],\n [21, -22, 24, -7, 18, 20, -17, 28, 15, 17],\n [11... | 628 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-22, 3, -15, -18, 11, 30, 4, -18, 22, 20],\n [-28, -14, 30, -29, -26, 16, -5, -15, 7, -20],\n [-6, 23, -13, 12, 13, -28, -18, -4, -7, 10],\n [16, 28, -9, 1, -16, 18, -20, 26, -6, -4],\n [-17, 4, -16, -10, 0, -12, 16, 27, 12, 15],\n [-15, 0, 20, 18, 19, 21... | 333 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[12, 5, 14, 6, -3, -6, -4, -6, -13, 16],\n [5, -18, 12, 6, 26, 12, 2, 2, -8, -7],\n [14, 12, 16, -18, 2, 4, 5, -5, -16, -2],\n [6, 6, -18, -26, 14, -10, -11, 8, -8, -21],\n [-3, 26, 2, 14, -27, -2, 12, -22, -7, -4],\n [-6, 12, 4, -10, -2, 22, 8, -20, -18, ... | 490 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-21, 15, 11, 9, -18, -30, 25, 28, -16, 3],\n [0, -22, 8, -6, -13, 0, -5, -23, 10, 14],\n [0, 0, 18, 13, 8, 22, -13, 10, 5, 9],\n [0, 0, 0, 21, -14, 16, 30, -27, 22, 20],\n [0, 0, 0, 0,... | 80 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-14, -12, 1, -25, -13, 3, 12, -10, 17, -22],\n [-12, -14, -10, 8, 2, 24, 2, -2, 5, 3],\n [1, -10, -27, -16, -4, 12, 21, 6, -6, -2],\n [-25, 8, -16, 0, -2, -2, 14, -12, 11, 18],\n [-13, 2, -4, -2, -3, -4, 24, -9, -9, 0],\n [3, 24, 12, -2, -4, -10, -2, 12, ... | 157 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.